{"text":"Question: What is the remainder when 12922839 is divided by 391600?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -351\/2 - -1319\/6. Let r = x - 44. Let h = 0 + 0.1. Which is smaller: h or r?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1.93 + -3.94. Let p = s - -0.01. Sort 1.1, p, -3 in descending order.\nAnswer: 1.1, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 (base 6) in base 15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = 29*d + 64. Determine j(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.64 + -0.04. Let w = q - 0.4. Sort -0.5, w, -2, 4 in decreasing order.\nAnswer: 4, w, -0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -86*b = -33420 + 32818 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = -104*p**3 + 4*p**2 - 2*p - 5. Determine l(-1).\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 170 minutes after 1:41 AM?\nAnswer: 4:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 84 - 83.724. Let w = -38.876 + v. Let x = -40.17 - w. What is x rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:37 AM and 12:26 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in h**3 + 0*h**3 + h**3 + 5898.\nAnswer: 2*h**3 + 5898","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g = -c + 47, -5*g + c + 69 = -2*c. Let n be g - 2*4\/(-8). Let q be ((-6)\/2 - 0) + 8. Solve 6 = q*w + n for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 7*r - 10*r. Suppose r = 2*v - 262 - 8. Calculate the greatest common divisor of v and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 1922*u**2\/9 + 1612*u\/9 + 338\/9.\nAnswer: 2*(31*u + 13)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g + 5*z = 0, -3*g + 10*z = 8*z - 20. Suppose 36 = g*w + 5*w. Which is the third smallest value?  (a) -4  (b) 2\/11  (c) w  (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (407\/(-2849))\/(3\/(-21)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:20 AM and 3:08 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 12 and 10158084?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = j**3 + 14*j**2 + 27*j. Let c = 22 - 33. List the prime factors of g(c).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 86538 - 18384. Let g = o - 6678979\/98. What is the common denominator of ((-19)\/((-1026)\/4))\/(3 + 2350\/(-786)) and g?\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 809 - 773. Calculate the smallest common multiple of p and 144.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i + 16 = 3*i. Let m = i - -19. Solve -u - 7 = -m for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 659572?\nAnswer: 2, 164893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put together -8.11 and -121355160.\nAnswer: -121355168.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*sqrt(5500) - sqrt(55))\/(-2*sqrt(396)))**2.\nAnswer: 245\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 463 minutes before 2:19 AM?\nAnswer: 6:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 82.75 + -83. Let p = g - 0.05. Which is the nearest to -0.1?  (a) 0.4  (b) p  (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -6\/145350809 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 10627081979 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*i - i - 2*i)*(6921 + 2665 - 33729 + 9775).\nAnswer: 14368*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*d**2 + 0*d**2 + 0*d**2 + (d**2 - 2*d**2 + 3*d**2 + (2140*d - 1077*d - 1072*d)*(2*d + 0*d + 0*d))*(0 + 1 + 0) as u*d + w*d**2 + v and give w.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*u - 4*u - 5*u + (88 - 88 + 38*u)*(-3 + 3 - 1))*(-2*u + 0 + 0).\nAnswer: 82*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20 + 23 = -2*g + 3*z, 5 = g + 5*z for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 42 - 59. Suppose -6 - 5 = t. Let x = t - l. Solve -w = -x*w - 25 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 56*p + 50*p + 31*p**2 - 194*p + 44*p + 44*p.\nAnswer: 31*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -23 - -25. Let s(h) be the first derivative of h**4 + 4 + 0*h - 4\/3*h**3 + 0*h**t. What is the third derivative of s(q) wrt q?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:36 AM and 10:56 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 96*z = 91*z + 4805. Is 31 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 71ef (base 16) to base 15\nAnswer: 8997","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 6 and 263809179?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 37860440 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25*d = 35 + 115. Let s be -5*10\/150 - (-2)\/d. Let j(h) = 2*h**3 - h**2 - h + 1. Let l be j(1). What is the closest to s in -0.3, -2\/3, l?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0  (b) 5  (c) 1\/3  (d) 1.1274  (e) 0.1  (f) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = -39. Let d(p) = p + 78. Suppose 0 = 5*y - 169 + 144. Calculate y*l(q) + 2*d(q).\nAnswer: 2*q - 39","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 93310*x**2 + 116*x - 245 wrt x.\nAnswer: 186620","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1 - 854?\nAnswer: -853.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) be the third derivative of -c**8\/1344 + 2*c**5\/5 - 17*c**2. Let q(b) be the third derivative of k(b). Let h(z) = -z. Determine q(h(f)).\nAnswer: -15*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 551 and 319?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4359, -9, 146.\nAnswer: -4359, -9, 146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {a: 2, d: 4}. Give prob of sequence ddad.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 131\/(-655)*1\/(-3)*5.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 561 or 49?\nAnswer: 561","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = -14*y - 5. Let x(g) = g**3 + 16*g**2 - 17*g - 3. Let n be x(-17). Does 25 divide s(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = -30090*y - 90257. Give h(-3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-4)\/26 + 1272\/156. Let r(h) be the first derivative of -1\/2*h**2 + h + w. Determine r(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 15 in 0.058, 0, -0.4, -3\/5, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2486 = 350*r - 463*r. Solve r*i = 63*i - 246 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:59 AM and 11:47 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1197*w - 23503 = -97717 for w.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = o**2 - 20*o + 12. Suppose -3*g - 24 = -5*g. Let m be i(g). Let d be (m\/8)\/((-9)\/60). Calculate the highest common factor of d and 175.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rriiiqrrii. What is prob of sequence qi?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 (base 10) in base 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from zibiziziizi. Give prob of sequence izzz.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = -x**3 + 26*x**2 + 88*x + 57. Calculate the remainder when 425 is divided by g(29).\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = 7*u + 1. Let r be m(-1). Let g = r - -3. Let d be (2\/17)\/(6\/g). Which is greater: 1 or d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = -2*u**2 - 2*u - 1. Suppose 4*q - o = 2*q - 1, 6 = -q - 5*o. What is c(q)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 19581, 19606, 19633, 19662, 19693, 19726, 19761?\nAnswer: 19798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {f: 7, z: 7}. What is prob of sequence ffzz?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2)\/133)\/((-39)\/247).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*f - 3*x + 10, 5876*f - 30 = 5878*f + 4*x for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((-4 + 2 + 1)*(-2 + 1 + 3) + 3 - 1 - 1)*(7 + 15 + 25)*(-2 - 3 + 4)*(1 + 2*s - 1) to o*s + m and give o.\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3*28\/105*-5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -111930*w**3 - 36371*w**2 - 4*w wrt w?\nAnswer: -671580","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 194, 235, 304, 401, 526, 679?\nAnswer: 860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-8)\/(-2) - (-796)\/(-12). Let j = -65 - l. Is j less than -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(-7))**(-11)*r\/(r*r**(-2)*r)*r**(-16)\/r assuming r is positive.\nAnswer: r**61","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = -n**2. Let r(g) be the first derivative of -3*g**5\/40 - 76*g**3\/3 - 16. Let c(z) be the third derivative of r(z). Calculate x(c(y)).\nAnswer: -81*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -10*j**3 + 8*j**3 + 4*j**3 + 8 - 9*j**2 + j**2 - j to x*j**3 + u*j + v*j**2 + n and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -115 - -101 - (9 - 64).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -22, 0.5, -7\/5, 0.3 in increasing order.\nAnswer: -22, -7\/5, 0.3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -72 + 76. Suppose 5*k - 5862 = -3*a, h*k - 5 - 7 = 0. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 2017120 and 455.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 65 + -60. Which is the biggest value?  (a) 1\/3  (b) v  (c) 1\/2  (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 2\/5, 11.5, -0.02, 1\/3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = -68*t - 207. Is s(-7) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (1 + 1221\/209 + -7)*(-34)\/51?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = t**2 + 3*t - 4. Suppose -2*l = -3*l + 5*v + 28, 0 = -4*l + 3*v + 27. Let k(a) = l - 5*a**2 - 2*a + 2*a**2 - 7*a + 8. What is -6*k(z) - 17*o(z)?\nAnswer: z**2 + 3*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = b**2 + 10*b + 11. Let m be s(-9). Let h(l) = -3*l + 4 + 7*l - 3 + m. Calculate h(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*n + 0*n + 2*n + (-5 + 5 + 1)*(-3 + 3 + 2*n))*(0*n - 10*n - n) + (2 + 4 - 4)*(2*n**2 - n + n).\nAnswer: -40*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is (-10278)\/(-4568)*(-1)\/(-12)?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -76*z - 991 + 383 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 2, 1, -4 in decreasing order.\nAnswer: 2, 1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b + 12*b = 112. Suppose -20*w + b*w = -64. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 600*r - 626*r - 157 - 103 = 0 for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 48\/32*2\/(-3). Is (-623)\/(-3*n\/(-3)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 5 - -11b81b?\nAnswer: 11b824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: (-561)\/(-459)*84\/2*585\/(-390)\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 32 + 80*j - 7*j**3 - 29*j**2 + 19*j**3 + 23*j**2 + 62*j**2 = 0.\nAnswer: -2, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(342)\/(1*sqrt(9)) - sqrt(950)*1)\/((sqrt(88)\/(sqrt(4) + sqrt(64) + sqrt(4)))\/sqrt(11)))**2.\nAnswer: 10944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*h - 2*s - 3, -7 = 4*h + 5*s + 9 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4 + -1)*((-3640)\/39)\/10.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-l**2 - l**4 + l**2)*(-2 + 4 - 3)*(-2 - 2 + 2 + (0 - 2 + 1)*(-1 + 2 - 2)).\nAnswer: -l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i = -2*j + 4*j - 10, -2*j + 2*i - 4 = 0. Suppose 20 = 6*v - 2*v - 4*n, -2*n - 2 = j. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -5350 to the nearest 100.\nAnswer: -5400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -48087396 divided by -4\nAnswer: 12021849","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Work out -6 * 1.86.\nAnswer: -11.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 35156*i**3 + i - i + 36802*i**3 - 24384*i**3.\nAnswer: 47574*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) be the third derivative of -5*a**4\/4 - 17*a**3\/6 + 27*a**2. Is m(-18) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = 0*u**2 + u**2 + 0*u**2 + 4*u**2. Let k(i) = i**2 - 23. Calculate l(k(d)).\nAnswer: 5*d**4 - 230*d**2 + 2645","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 3107913 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -4 - 198?\nAnswer: -1a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 e, 1 f, and 1 k when four letters picked without replacement from kejfkkfekw?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.318 rounded to zero decimal places?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 1bc43 + -13b?\nAnswer: 1bb08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10 - 10 + 31*d**2 + 1553*d**3 + 2*d.\nAnswer: 1553*d**3 + 31*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = -2. Let u(s) = s. Let q = 560 + -559. Suppose 0 = -y - 2*y + 3. Determine q*k(d) + y*u(d).\nAnswer: d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1423*y - 32*y**3 - 1423*y)*(-2 + 2 - 4*y)*(3 - 6 + 1).\nAnswer: -256*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (5 - -7) + -5 + -4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h + 0*h = -48. Suppose -5*x + 3*x + h = 0. What is the remainder when 23 is divided by x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 560 minutes before 12:36 PM?\nAnswer: 3:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 609 minutes after 5:29 AM?\nAnswer: 3:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i*i**(-3\/14)*i*i**(-3\/19) assuming i is positive.\nAnswer: i**(433\/266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) be the first derivative of -1559*s**6\/6 - 2502*s**2 - 4867. Find the second derivative of p(r) wrt r.\nAnswer: -31180*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ililllllllilllilllli. Give prob of sequence lil.\nAnswer: 35\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -60 + 63. What is the second derivative of -28*o**3 + 17*o - 19*o**3 + 46*o**3 - 21*o**y wrt o?\nAnswer: -132*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9384 = 1827*r + 4871 - 8592 - 6992 for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Work out -16.2 + 314.5.\nAnswer: 298.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = -7*c**2 - 11*c + 13. Let v(b) = 3*b**2 + 5*b - 6. Calculate 13*v(g) + 6*y(g).\nAnswer: -3*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4\/(-10) + (-6)\/10?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -254 + 236. Let m = -34 + 16.15. Let o = f - m. What is o rounded to 1 decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -223*m**3 + 2*m**2 + 1383*m?\nAnswer: -1338*m + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 483 = 4180*u - 4019*u. Solve 0 = 5*r - 5, 6 = -u*w - r - 5 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -11 (base 7) to base 2.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*t - 5*x + 25, -4*t + x - 15 = 2 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express 637*k - 1906*k - k**2 + 634*k + 637*k - 4 in the form d + x*k**2 + f*k and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 8641267\/30 - 288048. What is the common denominator of j and (-99)\/25*(-5)\/(-2)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:06 AM and 2:15 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -16638, -33275, -49912, -66549, -83186?\nAnswer: -99823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u - 12 = 5*v + 8, -5*v - 20 = -4*u. Suppose -1 = 2*x - 3, 0 = -j - 3*x + 53. Let s = v + j. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:12 PM and 10:11 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 5 and -471.\nAnswer: -2355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 9772?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 1, h: 2, s: 1}. What is prob of sequence hs?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 676425 from 0.5.\nAnswer: -676424.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 116 - 79. Let y = h - 75. Let v = -22 - y. What is the remainder when 45 is divided by v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 73\/996 and 74\/129501.\nAnswer: 42994332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3467112020000 - -1.38.\nAnswer: -3467112019998.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jaaa when four letters picked without replacement from jaajjjjjjjjjajjjjj?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 44.3439976733 + -44.344. What is x rounded to seven dps?\nAnswer: -0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(-2)*p*p)**(-2\/7)\/((p**7*p)\/((p**(1\/15)\/p)\/p)) assuming p is positive.\nAnswer: p**(-149\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-3)\/(-2)*(-1 + -1). Let m = 0.7883 + 0.0017. Let k = m - 60.79. Which is the third biggest value?  (a) s  (b) k  (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*s + 3*s + 0*s)*(0 - 2 + 4) + (-1 - 4 + 3)*(-3*s - 4*s + 2*s).\nAnswer: 8*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert -c0a52b (base 13) to base 6.\nAnswer: -235553104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -185 + 439. List the prime factors of d.\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1*sqrt(1125)*3 + sqrt(1125))\/(sqrt(576) - (-5*-3*sqrt(576) + sqrt(576))))**2.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 1\/246, -2\/3, -3, 0.029, 2\/13?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -18, 5, -23261 in descending order.\nAnswer: 5, -18, -23261","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -a + 2*a - 5. Suppose -a*z = -50 - 35. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (k + 4 - 4)*(-2*k**3 + 7*k**2 + 2 - 45163*k + 45163*k).\nAnswer: -2*k**4 + 7*k**3 + 2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = -a**3 + a**2. Suppose -260 = -13*n - 468. Let q be -2*-4*(-22)\/n. Let z(d) = -6*d**3 + 5*d**2 - 1. Calculate q*l(f) - 2*z(f).\nAnswer: f**3 + f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = -2*r**3 - 913*r**2 + 7382*r + 148. Determine o(8).\nAnswer: -252","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in seventeen sixths of a day?\nAnswer: 4080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = -b**2 - 8*b - 3. Give j(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*f + 481 - 737. What is the remainder when f is divided by 41?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-5 - (-45)\/(-6))*(-6)\/(-240)*-44?\nAnswer: 55\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 178738.\nAnswer: 2, 7, 17, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q\/(q*q*q**4*q*q))**(-6\/19)*(q*(q\/(q**(-2\/23)\/q))\/q)**(3\/5) assuming q is positive.\nAnswer: q**(7566\/2185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.9 + -1.07. Let l = 19.45 - 19.61999892. Let y = v - l. What is y rounded to 7 decimal places?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wizkkiwkkzzudzwwww. Give prob of picking 1 k and 2 z.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1233502 + 1233505. Let 0*h + 1\/5*h**4 + 0 - 112\/5*h**2 + 8*h**y - 1\/5*h**5 = 0. Calculate h.\nAnswer: -7, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 972, 1938, 2904, 3870, 4836?\nAnswer: 5802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 32\/(-108)*24\/(-32)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -0.2 * -148\nAnswer: 29.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -75 = t + 5*y, 211 = 4*t + y - 216 + 442 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 15 - 31 - (-13 - -4)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 341247\/13 + -26299. Let q = d - -9499\/208. What is the common denominator of (0 - (-1)\/6)*-25 and q?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 4932 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n*n**(-2\/21)*n**6)**(1\/9)*(n**6\/n*n*n**5)**(-10) assuming n is positive.\nAnswer: n**(-20645\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh smallest value in 124, 0.1, -1, -1.4, -16, -2\/3, -0.5?\nAnswer: 124","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 502 a factor of 682872?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 + 88 = 17*a. Suppose -8*k + a*k + 100 = 0. What is the remainder when 124 is divided by k?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -36993 to the nearest 100.\nAnswer: -37000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(20) + 2*sqrt(20))**2 + sqrt(5) + -2.\nAnswer: sqrt(5) + 178","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 11 and 253.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*w + w - 2*w - 3*w + 4*w + 0*w + (3 + 1 - 3)*(2*w + 3*w - 3*w) - 1 + 1 + w + w - 1 + 1 - 3*w + 2*w + 3*w - 2*w + 4*w + 2*w.\nAnswer: 12*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = 2*q + 2. Let j(w) = -103 + 9*w - 61 + 229 - 58. What is -6*j(m) + 22*o(m)?\nAnswer: -10*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y + 0*l = -l - 79, 0 = -4*y + 5*l + 80. Let b(r) = 4 - 2*r - 34 + y + 17 + 17. Let o(z) = 2*z. What is o(b(v))?\nAnswer: -4*v + 38","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 479604714.\nAnswer: 2, 3, 17, 43, 2543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 519 - 522 = -3*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = z**2 - 9*z + 12. Let v be o(8). Solve a = -a + v for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 14153 rounded to the nearest one hundred?\nAnswer: 14200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 77.9 - 9\nAnswer: 68.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2344831 by -109.\nAnswer: 2344831\/109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -17 - -12. Let h be (-4 - (-8 + 4)) + s. Let q = 38 - h. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g - 3*c = 116 + 41, -5*g = -4*c - 730. Does 29 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 y, 1 n, and 1 a when three letters picked without replacement from {x: 5, c: 1, n: 1, y: 7, b: 1, a: 2}.\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 5431081 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 23079 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 809 - 3070288*z - 809.\nAnswer: -3070288*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 7*q + 43 - 29 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 69800000 rounded to the nearest 1000000?\nAnswer: 70000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) be the first derivative of -3 + 2*g - 3\/2*g**2 + 1\/2*g**4 - 1\/3*g**3. Give q(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w + 2*h + 3 = 9, -h - 3 = -w. Let k be (1*-3)\/(w\/(-4)). Let a = -0.972 + -0.028. What is the nearest to a in 2\/5, k, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = z**3 + 12*z**2 - 8*z + 56. Give v(-13).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (-6*(sqrt(200) + 0)*5*-3 + 3 + 3)**2.\nAnswer: 10800*sqrt(2) + 1620039","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-21)\/(-9))\/(2\/42). Let s be (-2 - 2) + (36 - 4). Let x = h + s. What is the remainder when x is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4)\/(-1968)*1083 - ((-1890)\/56)\/(-15)?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 14 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: (99\/(-66))\/(1\/8)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -22168 + 31754. List the prime factors of w.\nAnswer: 2, 4793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -268.9 - -253. Round b to the nearest integer.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k + 1 - 7 = 0. Suppose -k*w + 0*w = -5*i - 94, i = 2*w - 22. Let c = 25 + i. Solve -2*f + 3*s + c = -4*f, -2*f - 2*s = 2 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -70 = 3*y - y - 5*n, -y + 5*n = 40. Suppose 0 = 5*c + 15, -u - 71 = u - c. What are the prime factors of (-18)\/y - u\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6773 is divided by 154?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.116 + -0.874. Let j = 10.77 + -15.58. Let y = t + j. What is y rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(-15)*v**17*(v*v**(1\/11))**(-13))**(-2\/17) assuming v is positive.\nAnswer: v**(268\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 34, -2\/15, 0.2, 4, -0.7, -0.2?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -1281, -2560, -3839, -5118, -6397, -7676?\n\"Answer: -1279*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 114930117?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 25?  (a) -0.2  (b) 7\/3  (c) 44047\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 5608?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -d - 3. Suppose 5 - 2 = -a. Let z be u(a). Suppose z = -2*g + 9 - 1. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 53 - 47.1. Round p to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n + 2*n = -4, -4*x + 28 = -4*n. Let p(h) = 4*h**3 + 30*h**2 - 23*h - 54. Let d be p(-8). Solve d = 3*u + x*g + 17, -4*g = u + 20 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 75, 74, 73, 72, 71?\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = -3*l**2 + 2*l. Let d be p(2). Calculate the remainder when (-1503)\/(-12) + 2\/d is divided by (50 + -56)\/(1 - 38\/32).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1004?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) be the first derivative of -w**6\/90 + 2*w**3\/3 - 5. Let o(m) be the third derivative of k(m). Let u(y) = -y. Give o(u(r)).\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express 2 - 2163*z**2 + 2200*z**2 - 2 as i*z**2 + j*z + o and give i.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*n + 0*n - 4*n + (5 + 0 - 3)*(0 - n + 0))*(4 - 2 - 6)*((-6 + 2 + 5)*(3 + 3 - 4) - 2 - 5 + 4).\nAnswer: -16*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -113.1+0.16\nAnswer: -112.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 43, -65, -403, -1085, -2225, -3937?\nAnswer: -6335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = -12*v + 12. Let q be (-22)\/5 - 15\/25. Let l be a(q). Let p = -26 + l. List the prime factors of p.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -28 divided by -1725?\nAnswer: 28\/1725","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express (-q + 0*q**2 + 2*q**2 - 497 + 372)*(55 - 149 + 57) as c*q + g*q**2 + n and give g.\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 90486?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 96378?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = 63*h**2. Let m(p) = -197*p**2 + 99*p**2 + 99*p**2. What is m(x(t))?\nAnswer: 3969*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort -896, 0.5, 5, 3 in descending order.\nAnswer: 5, 3, 0.5, -896","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 2.782 + 1.218. Which is the nearest to 0.01?  (a) g  (b) 4\/5  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 806 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 20142204 and 1169.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 87, -17, -9, -4, 12, 3, -2 in decreasing order.\nAnswer: 87, 12, 3, -2, -4, -9, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 20 a factor of 8593?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -38843*r + 17905*r + 20968*r.\nAnswer: 30*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 24 times -168.52?\nAnswer: -4044.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((168\/70)\/6)\/(2\/(-1060)). Is z != -211?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 55*g*m**3*w + 80121*g*m**2*w - g*w + 11*g - 102*w + 1116 wrt m?\nAnswer: 165*g*m**2*w + 160242*g*m*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = g**3 - 7*g**2 - 10*g + 19. Let a be n(8). Suppose -580 - 5452 = -a*b + 5*d, 5*b + d - 10100 = 0. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 27.02202kg?\nAnswer: 27022.02","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = -164*q**2 - 3*q + 2. Let i be r(-2). Let w = i + 1099. Let u = -188 + w. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 14606 and 32918.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find d, given that 2*d**5 - 158*d**4 + 1812*d**3 - 6408*d**2 + 4752*d = 0.\nAnswer: 0, 1, 6, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 62, 238, 530, 938, 1462, 2102?\nAnswer: 2858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 60295412.5 + 452\nAnswer: 60295864.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 1029 a factor of 3474250?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1994*s = 2030*s - 20736. Is s a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 23514 and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = -4*a + 2. Let j(p) = 8*p - 3. Calculate -3*j(v) - 5*s(v).\nAnswer: -4*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {m: 3, h: 12, r: 1}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -3 + (-16)\/6*-1. Let s = 2 - 3. Let v = s - 2. Which is the second smallest value?  (a) v  (b) -0.1  (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -9336 + 10590. What is the lowest common multiple of 264 and o?\nAnswer: 5016","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -32120062 and -2.\nAnswer: 64240124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = f. Suppose -2*h = 0, -y - 5*h + 4 = y. Suppose 4 = 2*k + y*k. Give p(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -102*(6\/(-10))\/(144\/(-40))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 50  (b) 5  (c) 1259\/40  (d) -3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.3 - -3.3. Let j be -5*(0 - 9\/(-15)). What is the third biggest value in m, 1, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = 2*a**2 + a - 1. Let d be x(-2). Suppose -19*z + 5 = -14*z. Let i(m) = -17*m + 36*m - z - 20*m - 1. Determine i(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 12526918 is divided by 756?\nAnswer: 754","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -101010000 - -11?\nAnswer: -101001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = v**2 + 4*v + 27. Let l(t) = 5*t + 28. Calculate 4*k(w) - 3*l(w).\nAnswer: 4*w**2 + w + 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z - 24 = -9. Let k(b) = z*b**2 + 8*b**2 - 8*b - 18*b**2 + 4*b**2 + 13. Calculate k(-9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -20 - (-9 + 5 + -7).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:13 AM and 1:56 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 9730, 19458, 29186?\nAnswer: 38914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -151506412 - 4?\nAnswer: -151506416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = 572*p - 7997. Let u be j(14). Solve -33 = -2*t - 2*v - u, -t = 2*v - 17 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -204000 rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 1411 + 21?\nAnswer: 1432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -0.01 times 0.251\nAnswer: -0.00251","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 712790921 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v + 2 = -3. Let p be 2*v\/(-2)*-9. Suppose -4*t - 11 = -2*w + 13, -3*t = p. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) be the second derivative of f**4 - f**3\/2 + 9*f**2\/2 - 3*f. Let l be w(4). Calculate the greatest common factor of l and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*c**3 + 16*c**2 - 4*c + 15 - 19 - 12 + 2*c**3.\nAnswer: 4*(c - 1)*(c + 1)*(c + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 19 + -13. Suppose 2*o - b - 80 = 0, h*o - 200 = o - b. Let t = 25 - 17. What is the highest common factor of t and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve f + 14 = -4*l + 10, -3*l = -9*f + 81 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 83642 and 12?\nAnswer: 501852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -19 + 19. Suppose -j + 3*j + 128 = n. Let o be (-16)\/j - (-15)\/4. Solve o*r - 1 = -5 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-23 - (-22 - -5)) + 576\/99.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 279504880 divided by 69876220?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 10208838?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -10\/21 - -4\/21. Which is the closest to 2\/5?  (a) 5\/3  (b) 5  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.06695461177 to 2 dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 u and 1 o when two letters picked without replacement from ouoouuoooouou.\nAnswer: 20\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.04 and 246.57.\nAnswer: -9.8628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-10)\/1)\/((14\/(-1))\/7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sum -75 and -6705094.\nAnswer: -6705169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 27323174 - -64?\nAnswer: 27323260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 7988?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -13 divided by 3896.\nAnswer: -13\/3896","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -4.968 - 0.032. Which is the third biggest value?  (a) u  (b) -3  (c) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 + 70 + -1242 + 1154\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(136) + 6*sqrt(136)*3 - (sqrt(136)*4*-6 - sqrt(136)))\/(-6*(sqrt(64)\/sqrt(128) - sqrt(24)\/(sqrt(3) + (sqrt(3) - sqrt(6)\/sqrt(2))))).\nAnswer: 88*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x - 3*k + 12 = -4*x, 5*x - 5*k = -20. Suppose x*o + 60 = 5*o. Let n(q) = 99*q - 163. Calculate the remainder when n(2) is divided by o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -u - 3*u. Suppose -b + 5 = h, 3*b - 21 = -u*h - 5*h. Let y = 1 + -0.9. Which is smaller: b or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 692 is divided by 93?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = -g**3 + 9*g**2 + 3*g - 7. Calculate b(10).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3951, -3890, -3833, -3780?\nAnswer: -3731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -r + 30*v - 185 = 0, -21*v + 41*v = -5*r + 22*v - 185 for r.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8929287 is divided by 1092?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1436 + 45957\/32. Which is bigger: x or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1464615.\nAnswer: 3, 5, 19, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1201 - 300?\nAnswer: -2101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1329496205?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -4 - -1 - 3\/(-3). Let f(p) = p**2 + 3*p + 3. Let d be f(b). Does 2 divide -2 + (7 - 1) + 0\/d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.13560347 rounded to three decimal places?\nAnswer: 0.136","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) be the second derivative of -12*h**3 + h**2 + 3*h + h + 6*h**3 + 5*h**3. Calculate s(2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4428 is divided by 1404.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -14 + 17. Let c(t) = -2*t**2 - 20*t + 23. Let w(z) = 3*z**2 + 41*z - 45. Let h(a) = u*w(a) + 5*c(a). List the prime factors of h(19).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = m**3 + 133*m**2 + 516*m + 276. What is o(-129)?\nAnswer: 276","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 408 - 406. Let f(x) = 214*x**2 + 23*x - 51. What is the units digit of f(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.5 in 3\/31, 1\/6, -2\/11, 0.9, 2\/13?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = -m**3 - 18*m**2 + 28*m + 18. Let d be j(-20). Let y = -148 + d. List the prime factors of y.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 328 minutes before 5:04 PM?\nAnswer: 11:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = u. Let i(h) = -10*h + 6. Let s(w) = -31*w + 17. Let x(l) = -8*i(l) + 3*s(l). What is x(k(c))?\nAnswer: -13*c + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 3068507795 less than -0.4?\nAnswer: -3068507795.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 4  (b) -40206  (c) -544\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -508*c**2 + 250*c**2 + 253*c**2.\nAnswer: -5*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 1 - 2*z**2)*(-5*z - 5*z + 4*z).\nAnswer: 12*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 448 - -2802. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1 - 0) + (13 - (-225)\/30) + -15?\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: (12\/(-5))\/(((-65709)\/(-98))\/(-149))\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-206*k**3 + 9 - 2*k + 38*k**3 - 8)*(5*k + 0*k - 2*k).\nAnswer: -504*k**4 - 6*k**2 + 3*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 197*f + 5317 - 4923 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 84.5884 rounded to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6720*n + 9276 = 6724*n. Calculate the remainder when n is divided by 385.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 156 and 12.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = -72*v**3 - 3*v**2 - 8*v + 7. Let i be j(-4). Suppose -2*p - i + 16501 = 0. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -9*-0.14106\nAnswer: 1.26954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of a**5 - a**3 + 1776*a**2 wrt a?\nAnswer: 60*a**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2774505036?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 436199 to the nearest integer?\nAnswer: 660","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3\/(-7)*20552\/(-9542).\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((g**(-1))**26)**(22\/5))**(-24) assuming g is positive.\nAnswer: g**(13728\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 1\/2, -0.1, -39\/4, -5, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -3190300 rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 28\/(-30*5*6\/(-90))?\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 14770 - 14770. Which is the fourth smallest value?  (a) q  (b) -5  (c) -2  (d) 13  (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -17*t**2\/2 + t\/6.\nAnswer: -t*(51*t - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = -5*l + 3. What is the units digit of 7*((-8)\/(-14) + l)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ddb when three letters picked without replacement from bdbddb?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b*b**(2\/13))\/b)**24\/(b**28)**16 assuming b is positive.\nAnswer: b**(-5776\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 11610?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = -v**2 - 2. Let r(f) = -12*f - 20. Let t be r(-3). Let k(i) = -2*i**2 + 31*i + 10. Let x be k(t). Let p be 2*1\/x - (-14)\/42. Give u(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 132127 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express -129*g - 119*g**3 + 63*g + 67*g - 327*g**3 - g**2 + 2*g**4 - 265*g**3 as s*g**4 + f + r*g + y*g**2 + o*g**3 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2223, -3584, -5829, -8958, -12971, -17868, -23649?\nAnswer: -30314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 + 3448\/(-120) + 19?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 0.6  (b) 10  (c) -5\/7  (d) -1\/4  (e) 0  (f) -242\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -4573654, -9147308, -13720962, -18294616, -22868270, -27441924?\nAnswer: -32015578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 198 and 34.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: (-2176)\/(-448) + (-5 - 0 - 0) + 1\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:27 AM and 3:50 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort -14, -2, -21 in descending order.\nAnswer: -2, -14, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (3\/2)\/((-2)\/(-12)). Let k(t) = -t**2 + 4*t + 7. Let r be k(4). Let o(s) = 18 + 7*s - r + 6*s - 6*s. Let f(j) = -3*j - 5. Determine h*f(y) + 4*o(y).\nAnswer: y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 8.5 + -9. Let i = -3247 - -3244. Which is the fourth smallest value?  (a) 1  (b) i  (c) 1\/2  (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -22.97*22715.\nAnswer: -521763.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o = 10, 0 = -6*h + h - 3*o + 506. What are the prime factors of (0 - -345)*(h\/(-15))\/(-10)?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*k - 223710*o + 25 = -223711*o, -4*k - 19 = o for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express -12*j - 14*j**3 - 6*j + 11*j**3 as p + n*j**2 + b*j + q*j**3 and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -3 * -306888\nAnswer: 920664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*l - 4*l + 3*l + 4*l - l - l + (3 - 4 - 5)*(-2*l - 3*l + 4*l))*(-3 - 5 - 4).\nAnswer: -84*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1048985 is divided by 1176?\nAnswer: 1169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 45968669 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 > -41\/31999?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = -11*x**3 + 6*x**2 + 6*x + 5. Let w(g) = -10*g**3 + 5*g**2 + 5*g + 4. What is 5*k(h) - 6*w(h)?\nAnswer: 5*h**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -97821, -97794, -97749, -97680, -97581?\n\"Answer: z**3 + 3*z**2 + 11*z - 97836","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -16 (base 14) in base 13?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (6\/(-40))\/((-96)\/384)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Do 81120074\/5 and 16224016 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -12 - (21 - (3 - -18))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 666 is divided by 96.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round -6.508669649 to three decimal places.\nAnswer: -6.509","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is (30\/66)\/(170\/(-68))*-11?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 137428 at least as big as 3.61?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 21298782?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-4)\/(-3 + -1))\/((-1)\/(-636)). Suppose -12*k = -8*k - 5*j - 596, 5*j = -4*k + o. What is the highest common factor of 14 and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 55*d = -99*d + 13*d + 1692. Solve -4*z = 16 + d for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*u**2 + 2*u**2 + 4*u**2)*(0 + 2 + 5) + (0 + 2 + 0)*(0*u**2 + 0*u**2 + 2*u**2).\nAnswer: 18*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1039.\nAnswer: 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*x - 4*x + 2*x + 0*x + 11*x.\nAnswer: 12*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is (4*15\/5)\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 3484 and 23584.\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 2414 - 270.0606?\nAnswer: 2143.9394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = 8940*u - 5641076. What is x(631)?\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -47 + 71. Suppose 3*h = 4*m - 14 + 99, -m - 2*h - s = 0. Let x be (1 - (-26)\/m)\/2*2. Which is the second smallest value?  (a) x  (b) -5  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = k - 6. Suppose z - 5*i = 27, 0 = -z - 4*i - 6 - 3. Let c be t(z). Sort -1, c, 0.1 in descending order.\nAnswer: c, 0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 25\/81 and -16\/591.\nAnswer: 15957","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -233*c + 214*c + 95 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -9121, -18328, -27627, -37018, -46501, -56076, -65743?\nAnswer: -75502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = -w + 6. Let m = -1 + 5. Let a be x(m). Suppose 2 = -a*l + 4*l. Calculate the greatest common divisor of 7 and l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -281963*g = -282549*g + 1758 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) be the third derivative of w**5\/40 - w**4\/6 + 11*w**3\/6 + 24*w**2. Let q(f) be the first derivative of i(f). Calculate q(7).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = -t. Let n(w) = w**3 + 9*w**2 - 10*w + 2. Let p be n(-10). Let s(v) = -9*v**2 + 1 + 4*v**p + 4*v**2. Determine s(u(d)).\nAnswer: -d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 29570400 a multiple of 1800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 46 - 46. Solve 0*w - 5*w + 5 = p for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 22 - 6. Suppose 10 = f*z - 11*z. Suppose -g = -d - 31, -2*g - z*g + 114 = d. Calculate the remainder when g is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 18*i**4 + 28649*i - 3420679.\nAnswer: 72*i**3 + 28649","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = 3 - 2 + 9 - 5*a. Let g(d) = 981*d - 43156. Let n be g(44). Calculate t(n).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5041 minus -21.92341943?\nAnswer: -5019.07658057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 538*c = 510*c + 2006564. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 1810 to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -1\/49964195 and 48\/69949873.\nAnswer: 349749365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 818772 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 j and 1 s when two letters picked without replacement from {s: 1, g: 2, j: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = -a**3 + 10*a**2 - 26*a + 74. Give y(7).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ruu when three letters picked without replacement from {n: 1, r: 4, u: 6}?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) be the second derivative of -2919*v**5\/20 + 875*v**3\/6 - 565*v. What is the second derivative of o(p) wrt p?\nAnswer: -17514*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 2, l: 4, k: 2, h: 4, w: 1, j: 6}. What is prob of picking 3 h?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = 5004*c**2 - 48*c - 151. What are the prime factors of z(-3)?\nAnswer: 37, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -32610, -42993, -53376?\nAnswer: -63759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 17402, 17491, 17580, 17669, 17758, 17847?\nAnswer: 17936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -1b3da (base 14) in base 7?\nAnswer: -406163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q - 1764 = -4*j + 4177, -4*j = 4*q - 4752. What is q rounded to the nearest 100?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate u**2 - 294510*u + 211569 with respect to u.\nAnswer: 2*u - 294510","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = -w**2 - 34419*w + 619872. Give t(18).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -j**2\/3 - 52938016*j - 2101825153512192.\nAnswer: -(j + 79407024)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 55 a factor of 3300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 f, 1 u, and 1 x when three letters picked without replacement from {v: 1, a: 1, f: 4, u: 2, x: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 54\/5 of a century?\nAnswer: 12960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 17819.55 months to millennia.\nAnswer: 1.4849625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 268?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = 2*v**3 + 260*v**2 + 15*v + 1950. Give l(-130).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + ((-1*sqrt(1000) + sqrt(10))\/(sqrt(2) + (sqrt(2) - sqrt(8))*-1) - ((sqrt(500) + 1)*-5 + sqrt(500)*-2 + -3)))**2.\nAnswer: 1048*sqrt(5) + 86061\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3457.182ml to litres.\nAnswer: 3.457182","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 22944, 45888, 68832?\nAnswer: 91776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 204*v - 73*v - 3144. Solve 280 - 400 = v*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 776 divided by 6955\nAnswer: 776\/6955","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-195)\/12*4068\/(-26442).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 93, 0.04, 433.1?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2546875699.\nAnswer: 113, 22538723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-19 - 10*k**3 + 19)*(-3*k + 2*k - k).\nAnswer: 20*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9*s + 29*s**3 - 10*s + 49*s**3.\nAnswer: 78*s**3 - s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Work out 69141 + 0.3.\nAnswer: 69141.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1672.4 - -1819. Let b = 147 - p. Let s = 0.03 - -6.97. What is the smallest value in s, -1\/3, b?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1078 times -1.008?\nAnswer: -1086.624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = -2924*f + 28. Let y(z) = -325*z + 3. Give 3*w(l) - 28*y(l).\nAnswer: 328*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h\/(h*h**(-15\/2)*h)*h**(1\/3)*(h**(-2\/11)\/h)\/(h\/(h**(-4)*h)) assuming h is positive.\nAnswer: h**(109\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 62\/23, -390, 7, 1, 5?\nAnswer: -390","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 16590 - -5077. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = z + 22. What is k(7)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Are 0 and 3\/18923690 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*t**2 + 16 + 3 + 8*t**2 - 3*t**2.\nAnswer: t**2 + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 21022 + -3424154?\nAnswer: -3403132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = 2*g**2 - g - 9. Let p be i(5). Suppose 33*y - p*y = -246. List the prime factors of y.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.076991546 rounded to four decimal places?\nAnswer: 0.077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*m = -5*u + 4*m, 4*m = -u + 3*u + 3*m for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -12442334 - -112?\nAnswer: -12442222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = -2*k + 3*b + 13, 0 = k + 3*b. Let p(i) = 2*i**2 - 10*i + 9. Let y(d) = -d + 1. Let o(n) = p(n) - 6*y(n). Give o(k).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = 3*u + 5*u + 3*u + 8*u - 20*u. Let n(r) = 239*r**2. Give a(n(m)).\nAnswer: -239*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -2\/9  (b) -5.42  (c) -0.05  (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:25 PM and 6:16 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 15 - 11. Let b = -2 + a. Let y = 2 + -6. What is the nearest to 1 in b, y, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5.5123419 rounded to 2 decimal places?\nAnswer: 5.51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -16281266, -32562533, -48843800, -65125067, -81406334?\nAnswer: -97687601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -221.8 - -192. Let u = -30 - j. Let s = u - 0.1. Which is the third smallest value?  (a) 2  (b) -4  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.17 + 8.83. Sort -1\/2, q, 5 in descending order.\nAnswer: q, 5, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-1)\/(-1) + (-70)\/84. Let i = -0.85 + 0.65. Sort a, 2, i, -2\/3 in descending order.\nAnswer: 2, a, i, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 313 - 296 - (16 - 0) - 11?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out 3.2 + 8.3.\nAnswer: 11.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -4001 + -4?\nAnswer: -4010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -508, -512, -516?\nAnswer: -520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -1269*u**2 + 110*u - 361134.\nAnswer: -2538*u + 110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 25622*u**6 - u**4 - 40915*u**2.\nAnswer: 3074640*u**3 - 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -47\/7363 and 65\/333.\nAnswer: 66267","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 715371 to the power of 1\/2, to the nearest integer?\nAnswer: 846","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*j = -310*m + 313*m + 6, 0 = -2*j + 3*m - 15 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) be the third derivative of r**5\/60 - 26*r**3\/3 - 5*r**2. Let t(y) = y**2 - 149793*y + 149793*y. Calculate t(c(i)).\nAnswer: i**4 - 104*i**2 + 2704","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 384, 1133, 2426, 4431, 7316, 11249, 16398?\nAnswer: 22931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = 2*l**2 - 18*l - 4. Let a be b(11). Let h(o) = 28*o - a - 2 - 4. Is h(8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 145 divide 283381824?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is ((30\/(-2))\/3)\/(14\/14)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 - (4 - -5) - -6 - -5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = -3428*l - 64. Let u(y) = -3428*y - 53. Calculate 5*g(x) - 6*u(x).\nAnswer: 3428*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = 2*y - 27. Find the third derivative of -14*i**4 + 12*i**2 - 3*i**4 + y*i**2 wrt i.\nAnswer: -408*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 47728790?\nAnswer: 2, 5, 67, 71237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) 0  (b) -0.67  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q*(q*q**(1\/4)*q)\/q*q\/q**(-2\/9)*q)**(-3\/5)\/((q*q**(2\/5))**(1\/9)*(q\/(q**(2\/7)*q))**38) assuming q is positive.\nAnswer: q**(10103\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*i + 1321 - 2661 - 5*i**2 + 1320 + (-4*i + 3*i + 2*i)*(i + 2 - 2).\nAnswer: -4*i**2 + 2*i - 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = h**3 + 7*h**2 + 6*h - 5. Let g(j) = -j + 1. Let m = -49 - -32. Let o = m + 24. Let l be g(o). Calculate v(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -1 - (-21)\/12 - (-9)\/4. Suppose -v - 22 = -2*h, -2*v - 26 = -3*h + c*v. Calculate the highest common factor of h and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -12?  (a) -3\/5  (b) -0.03  (c) -0.1  (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when -5 + (-183)\/(-3) + 3 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*y + 11 = 14*y. Suppose -21*d = -y*d - 30. Calculate the common denominator of (140\/32 - d)*2 and 1\/36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: (10 + -14 - -25) + -18\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -9*g - 3. Suppose -42 = u + 4*u + 4*s, 3*s = 6. Let i be 510\/25 + (24\/u - -2). Let a(p) = -20 + i - 22*p**2 + 21*p**2. Calculate w(a(l)).\nAnswer: 9*l**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1074 = -10*v + 3066. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1118750 is divided by 101667?\nAnswer: 413","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 + -1 + 3 + 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (8\/(-5))\/((-8)\/60). Suppose c*k = 7*k. Solve k = 3*q + 5*z + 6, -3*q - 3*z - 3 - 3 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0009249535 to seven decimal places.\nAnswer: -0.000925","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -3861 + 4075. What is the remainder when n is divided by 48?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 48913875 to the power of 1\/2, to the nearest integer?\nAnswer: 6994","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 1*(42 + 2\/(-2)). Suppose -7*d = -3*d + z - 40, 5*d - z = j. Let o be (-1)\/4 + d\/4. Solve -p + 3 = o*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z - 8 = 4*y, -2*z - 2*z = -16. Let g(t) = t**2 - 44*t + 304. Let b be g(36). Suppose 6*f - b = y*f. Solve 2*d = f*d + 8 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 4480 and 1186?\nAnswer: 2656640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 95644555 to the power of 1\/6, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -6 + (9 + -5 - 5) + 3\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kgrr when four letters picked without replacement from {r: 4, g: 5, k: 1}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -5 in 0.2, -2\/7, 5, 1\/11, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 323 is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1835?\nAnswer: 5, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = 5*u - 2. Suppose m - 26*m = -150. Let x(l) = -12*l + 5. Let t(y) = m*x(y) + 15*i(y). Let q(w) = 3*w**2 - 1. Give t(q(z)).\nAnswer: 9*z**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.31 + -0.11. Let v = 0.2000017 - s. What is v rounded to 6 dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 607 (base 15) to base 10\nAnswer: 1357","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 586 a factor of 1688266?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does -2813 = 3649?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 8339 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 23721?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = 2 + j**2 + j**2 + 35*j - j**2 - 37*j. Let f be b(2). Solve -3*p - 3 = 2*h, -f*h - 6*p + p = 1 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 928 and 1276?\nAnswer: 10208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1298 and 44?\nAnswer: 2596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-1)\/3 + 17\/(-3). Let z(b) = -2*b**2 - 8*b + 5. Let t be z(x). Let k = t - -52. What is the highest common factor of k and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 3  (b) -1\/3  (c) -0.04  (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = 2*r**2 + 5*r + 2. Let c(v) = -12 - 11*v + 13 - 6*v + 2*v**2 + 21*v. Give -3*c(a) + 2*d(a).\nAnswer: -2*a**2 - 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 169028759 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Work out 263.6 - -484103.\nAnswer: 484366.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 938 - 1012 - (-49 + -3).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = m + 34. Calculate the remainder when v(-5) is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 7, -3, -508, -1, 5, 3 in decreasing order.\nAnswer: 7, 5, 3, -1, -2, -3, -508","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(1\/3)*(k*k\/(k*k*k*k**(3\/5))*k)\/k)\/(k**(-18\/13)\/(k**(19\/4)\/k)) assuming k is positive.\nAnswer: k**(3017\/780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 660*p**5 - 378*p**4 - p**2 + 186344*p wrt p?\nAnswer: 39600*p**2 - 9072*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nwi when three letters picked without replacement from {w: 1, c: 1, r: 1, i: 2, n: 1, d: 2}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 505 + -506. Let h(y) be the first derivative of 13\/2*y**2 + 3 + y. Determine h(p).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 111016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 17623 + -41085. Let c = o - -35511. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -822*d**5 - 3*d**4 + 9*d**4 + 819*d**5 - 6*d**2 + 3*d.\nAnswer: -3*d*(d - 1)**3*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -983*v + 978*v - 2*f + 13 = 0, 2*v - 2*f + 6 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.026 - -0.526. Let w be -1 + (-30)\/8 + 4. Let t = 5030\/17 - 296. What is the smallest value in p, t, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 9*y - y - 128. Let l = -16 + y. Suppose 5*o = 4*f + 95, l = 6*o - o + f - 70. Is 12 < o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-10)\/(-95) + 910\/741. Let j = 130\/3 + -43. Factor -4\/3*z - 1\/3 - k*z**3 - 2*z**2 - j*z**4.\nAnswer: -(z + 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in s**3 - 1075*s + 1847*s - 772*s.\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -104.082 + 0.082. Let t = s - -102. Is t > 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1003.\nAnswer: 17, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round 24254.929 to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 27 and 414?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round -23683871 to the nearest 1000000.\nAnswer: -24000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 168575471 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 2, z: 7}. What is prob of picking 1 g and 2 z?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 192 and 72?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = 4*v**2 - v. Let s be k(1). Suppose -s*m - 1 = -2*d - 18, d - 5*m = 2. List the prime factors of d*2*(-4)\/8.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -11000001 + 1010000010110011?\nAnswer: 1001111111110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1447 + 1450. Let b(d) be the first derivative of 0*d - 11 - 2*d**2 + 4\/3*d**j. What is the second derivative of b(x) wrt x?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 125\/374544 and -149\/124848.\nAnswer: 374544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t**2\/3 + 70*t\/3 + 73 = 0. What is t?\nAnswer: -3, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -p - 4*p + 135. Suppose -3*c - p = -426. Calculate the greatest common factor of 7 and c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = -1012*q**3 + 2*q**2 + 25*q + 55. What are the prime factors of h(-2)?\nAnswer: 3, 17, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 649*a + 1172*a - 1622*a.\nAnswer: 199*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 23 a factor of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*d = -4*b + 5*d + 14, -3*d = 5*b - 36. Let c be (b\/(-4))\/((-9)\/24). Find the second derivative of -2*m - 6*m - 6*m**4 + m - 3*m**c wrt m.\nAnswer: -108*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -3*d**4 - 39*d**3 + 463*d?\nAnswer: -36*d**2 - 234*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z + f + 280 = -3*f, -3*f = -5*z + 348. Calculate the remainder when z is divided by 36.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -8, 4, 1.\nAnswer: -8, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -219*b + 54*b + 47*b - 12*b**2 + 118*b + 33.\nAnswer: -12*b**2 + 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 15015\/(-247) + 1144\/(-5434).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 87 divide 331868373?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 543186 divided by -496.\nAnswer: -271593\/248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 3 + -166?\nAnswer: -163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 66885 is divided by 272.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -16 divided by -2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*m - 10*m - 720 = 4*x, -2*m - 5*x = -321. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/((-14)\/(-7)*(-1)\/1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -35, 4, -3 in ascending order.\nAnswer: -35, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = 3*r**2 - 48*r - 72. Let t be v(21). Calculate the greatest common divisor of t and 108.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine t, given that -4*t**5\/5 - 44*t**4\/5 - 156*t**3\/5 - 196*t**2\/5 - 16*t = 0.\nAnswer: -5, -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 12\/(-10) + 1*2. Let b = 4 - 4. Let n = 154 + -615\/4. What is the smallest value in n, b, g?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = -76*n**2 - 1988*n - 343. Calculate t(-26).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Does 220 divide 175963?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-972)\/9 - -1*(0 - -1). Let t = v - -110. Suppose 39 + 168 = t*q. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) be the second derivative of -p**5\/60 - 19*p**4\/24 - 5*p**3\/2 + p**2\/2 - 6*p. Let r(a) be the first derivative of o(a). Is 15 a factor of r(-15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -10, 5\/6, -1\/66, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = -7*t**2. Let z(h) = -28*h - 1. Let i(l) = 29*l + 1. Let b(a) = 2*i(a) + 3*z(a). What is b(g(m))?\nAnswer: 182*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -820 * -0.1128\nAnswer: 92.496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4\/10 - 234\/(-15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 2, 2\/11, -5, 31?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put -36\/11, 1\/6, 7, 21, -0.1, -0.4 in descending order.\nAnswer: 21, 7, 1\/6, -0.1, -0.4, -36\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 1052.7 less than -1259?\nAnswer: -2311.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = u - 5*v - 8 + 24, -5*u + 4*v = -4. Let l be 6 - (u + -2)*1. Put 5, 1, l in increasing order.\nAnswer: 1, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = 2*n**2 + n + 3. Let u be l(-3). Let f(x) = x**2 - 18*x - 2. Let z be f(u). Let d = -3.5 - -3. Sort d, z, 2.\nAnswer: z, d, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (30\/3)\/((-4)\/(-6)). Let j = -41 + 14. Let x be (j\/(-6))\/(9\/60). What is the greatest common divisor of x and t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 521 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 285 divide 246905760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 244b4 (base 15) in base 14?\nAnswer: 302cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -15 or -3118?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = 5*z**3 - 349*z**2 - 68*z - 139. Let r be t(70). Which is smaller: -2.595 or r?\nAnswer: -2.595","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -5  (b) 6018  (c) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 25180 and 4?\nAnswer: 25180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is (5\/40)\/(72\/18432)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -108 - -107. Put -28, -5, t in decreasing order.\nAnswer: t, -5, -28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 95*f - 735 = 3 + 22 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*o - 17 + 5. Let v(l) = -l. Let h be v(o). Solve -4*c = h*n - 19 - 0, -c + 2*n = 9 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 54*f - 98141 = 49549. List the prime factors of f.\nAnswer: 5, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 55 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*a - 5*c + 8 = 0, c = -0*c for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 203874*m**5*q + 21*m**3*q**3 + m**2*q**2 + m**2*q + 202597*m*q**3 - 4*m*q**2 wrt m?\nAnswer: 12232440*m**2*q + 126*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 2094405629 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 152 is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 650 is divided by 17.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Determine m, given that 39*m**4\/8 + 2997*m**3\/8 - 979131*m**2\/4 - 906525*m\/2 + 75525 = 0.\nAnswer: -265, -2, 2\/13, 190","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -310 - 569 = 3*t + 3*f, 3*f = -t - 303. Let u = t + 512. Let p be 3\/(-5) - u\/(-490). Which is the nearest to -4?  (a) -2\/5  (b) -5  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 690 and 46.\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 35.8 - 36. Put 2, -5, a in descending order.\nAnswer: 2, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 112013?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 6 - 4. Let u(b) = -b**3 + 22*b**2 - 41*b + 13. Let v be u(20). Put v, -3, m, -5 in decreasing order.\nAnswer: m, -3, -5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8273 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-4)\/6 - (-184)\/6. Solve 3*t + 5*g = 8*t - r, 5*t - g = 26 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 7 + -1. Let o(m) = -m**2 + 7*m. Calculate the remainder when 5 + (-4 - -1) - -15 is divided by o(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 83730134?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 56888 and 104?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (63\/15 - 3)\/(9\/30). Suppose 0*j - 92 = -4*a - 5*j, -16 = -g*j. What is the tens digit of 4\/a - (-9121)\/63?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 103294 is divided by 135.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 54 minutes after 12:30 AM?\nAnswer: 1:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = -23*z + 395. Let v be w(17). Solve 9*o = 4 - v for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3204*k - 70 = 3208*k + 2*b, 3*k + 2*b + 50 = 0 for k.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.064654 rounded to 2 decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 119854 at least 119854?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 34 + -20. Let i be 4\/2*18\/(-12). Let b(p) = -23*p - 2. What is the remainder when b(i) is divided by h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-16 - 2)\/(-5 - (-63)\/18) - 7. Let o(z) = 68*z. Let v(b) = 476*b. What is t*v(g) - 34*o(g)?\nAnswer: 68*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 16717 divided by -6\nAnswer: -16717\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is one fifth of a millisecond in microseconds?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = -d**3 + 4*d**2 + d + 7. Let a(c) = 2*c - 14. Let h be a(9). Calculate the remainder when w(h) is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n + 24 = -5*h + 5, 0 = -n - 2*h - 8. Suppose -n*o - 3*c + 13 = 0, -5 = o - 4*c + 5. Let z(i) = -8*i + 5. Let y be z(o). Which is bigger: y or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 63 + (-93 - (45 - 90))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (sqrt(8)\/sqrt(4))**2 + -1 + (sqrt(162)*-2*5)**2 - (sqrt(162) - (2 + sqrt(162))*2 - (3 + 1*sqrt(162)))**2.\nAnswer: -252*sqrt(2) + 15501","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 58 is divided by 56.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Work out -54.28454 - -0.3.\nAnswer: -53.98454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-45)\/(-30)*(-3)\/(-18)*4. What is the smallest common multiple of 210 and -44*s\/(-8)*2?\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) be the second derivative of -o**3\/2 + 7*o**2 - 587*o. What is z(5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -13*0.02\nAnswer: -0.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -m - 4*o + 3 = 0, 0 = m - 11*o + 6*o - 12 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: (-7)\/2 + (9\/(-4) - (-21)\/28)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.1, 2\/3195, 0.6, 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 2762028 and 444.\nAnswer: 102195036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 194315095*p**2 - 4891*p + 4706?\nAnswer: 388630190","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -16962 - -16959. What is the second smallest value in 0.4, 2, -1.5, -2\/35, a?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -5532\/7 + 798. What is the common denominator of c and 25\/464?\nAnswer: 3248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 3235*s**4 - 2*s**3 - 15*s**2 + 639674?\nAnswer: 12940*s**3 - 6*s**2 - 30*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 614 - 232?\nAnswer: 352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-5)\/(-150)*5)\/(-2*(-5)\/(-260)).\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 8 + -15. Let i = j + 6.99999926. Round i to 7 dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 22 - 21. Let r be 12 + (0 - (3 - 0)). What is the greatest common factor of i and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -8677 divided by 34?\nAnswer: -8677\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 2074788473 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-3308)\/(-6) + 12\/18. Suppose 185*m = 181*m + x. List the prime factors of m.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*m - 4*s, 2*m - 5*s = -3*m + 40. Suppose -j - 3*j - m = 0. Is j smaller than -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 2920 and 3650?\nAnswer: 14600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = -y**3 + 6*y**2 + 14*y + 20. What is c(8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 2291.233 centuries?\nAnswer: 2749479.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1714881757.\nAnswer: 1714881757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 2324329, 2324334, 2324343, 2324356?\n\"Answer: 2*v**2 - v + 2324328","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s - 20 = -m - 5*s, 0 = -m - 5*s + 24. Suppose 0 = -11*p + m*p + 2*p. Solve 8*h - 5*h + 9 = p for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 8.3 - -2.7. Let l = 10.3 - s. Let h = l + 0.2. Sort 2, h, 0.3 in decreasing order.\nAnswer: 2, 0.3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 1\/11 - 93548\/(-77). Does 1217 = m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = b**2 - b - 8. Let z = 24 + -4. Let q = 14 - z. Is 14 a factor of c(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 1*(-12)\/(-9) + 495\/(-495). Let f be 12\/(-9) + 0\/(-2). Which is the closest to 0?  (a) o  (b) f  (c) -1.5  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-44)\/(-110))\/(2\/5) - -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 2\/7 + 54\/7. Let h = 8 - n. Solve 2*w - 8 = 4*s, -3*w = -h*s + 5*s + 10 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((2 - 4) + 2\/3)*141\/(-376). Which is the smallest value?  (a) y  (b) -0.7  (c) -5  (d) 0.3  (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 3516 and -0.4?\nAnswer: 3516.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4350649.\nAnswer: 47, 92567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -310686, -310656, -310628, -310602, -310578, -310556, -310536?\n\"Answer: -o**2 + 33*o - 310718","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -349*r**2 + 713*r**2 - 100 - 343*r**2.\nAnswer: 21*r**2 - 100","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 98405 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round 66.2 to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3874278568 to the nearest integer?\nAnswer: 62244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z = 12 + 3. Suppose 3*o = 2*t - z, -5*t + 4*t = 4*o - 8. What is the remainder when 10 is divided by t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 60 - 42. Let g be (2\/6)\/(3\/o). Suppose -42 = -2*y - 2*h, 3*y = g*h + 2*h + 63. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of (-1 + 13)*(-16)\/(-12) and 74?\nAnswer: 592","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2761 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 61*t**2 - t + 14*t**3 - 61*t**2 to n*t + x + u*t**3 + p*t**2 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3433845 to the nearest integer?\nAnswer: 1853","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 1.06 and 141.\nAnswer: 149.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 236 a factor of 86931?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 18*v**2 + 8665 + 4*v**2 - 8665 - 11*v**2.\nAnswer: 11*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Are 10937 and 10939 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {t: 1, f: 2, l: 10, e: 3, m: 3}. Give prob of picking 1 m, 1 l, 1 f, and 1 e.\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -18 + 17 - 136\/(-2). Let h = 72 - p. Suppose h*j - k - 97 = 0, 3*j + 6*k - 72 = 2*k. Is 8 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 305 is divided by 44.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12*x - 13914323 + 27828656 - 13914333.\nAnswer: 12*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = n**3 - n**2 - 3*n - 3. Let t(w) = -2*w**3 + 3*w + 4. Let a(f) = -3*l(f) - 2*t(f). Let q be (-15)\/8 + (-26)\/208. Determine a(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1134)\/(-87) + -3 - 537\/15573?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -139?  (a) 0  (b) 0.3  (c) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 1\/4, -1.98904, -2\/9 in descending order.\nAnswer: 1, 1\/4, -2\/9, -1.98904","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.78 - 3.52. Let u = -3.9 - w. Sort 2\/39, 5, u.\nAnswer: 2\/39, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -583*p - 308*p - 146124 = -3597*p for p.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -113\/368158 and -99\/20.\nAnswer: 3681580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12033*c - 12033*c + 7*c**3 - 10*c**3 + 4*c**3.\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 665 minutes before 4:37 PM?\nAnswer: 5:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14*s + 13*s = -3 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -678880093*g*i - 281981221*i wrt g?\nAnswer: -678880093*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express (1 + 3*w - 1)*((2*w - 6*w + 5*w)*(6 + 2 - 4) - 2 + 2 - 2*w)*(-4 + 5 + 1) + 72*w**2 + 13*w**2 - 156*w**2 in the form l*w**2 + n + v*w and give l.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 2 + -1*(1 + 4). Let l be -1 + 0 + 1 + 2. Suppose 0 = -0*g + g + l. Is k > g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d + 3 = 0, 2*d + 147526 - 478989 = -5*w. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 14*m**2\/17 + 452286*m\/17 + 516880\/17.\nAnswer: 2*(m + 32305)*(7*m + 8)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -621 divided by 621?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -366*s + 360*s = -12. Suppose -4*d + 20 = 4*o, o - s*d = 3*d + 17. What is the remainder when 74 is divided by o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*i + 4*i + 3. Suppose o - 9 = 6*a - a, -5*o + 3*a + i = 0. Is o less than -1\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 676991 a multiple of 300?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 4 - -542?\nAnswer: 546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 313 minutes after 2:53 AM?\nAnswer: 8:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 12 - 4. Let m = t - 7. Which is greater: -1 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l - 4*i = -18, l = -3*l + i + 5. Solve y = 2*q + 5*y - l, 3*y = 4*q + 29 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v - 9*v = 21. Calculate the common denominator of 146\/(-8) - (v + 5\/1) and 91\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -10203 (base 5) to base 8\nAnswer: -1246","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(3*(sqrt(252) - (-2 + sqrt(252)))**2 + sqrt(252)).\nAnswer: 36 + 18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = -3*f**2 + 32*f. Let m be n(-8). Let d be m\/(-2) - (-2 + 2). Let o = d - 106. List the prime factors of o.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8.297548 nanoseconds to microseconds.\nAnswer: 0.008297548","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 1 (base 3) to base 11\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 12630880 a multiple of 1780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.08 + 0.28. Let r = y + -0.3. Let h(d) = -d**3 - 18*d**2 + 46*d + 522. Let a be h(-19). Sort r, a, 0.5.\nAnswer: r, 0.5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 0*1*(3 + (-12)\/6). Factor 0 + t*w + 1\/2*w**4 + 0*w**2 + 1\/2*w**3.\nAnswer: w**3*(w + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (18*y + 0*y - 3*y)*(-38 + 98 + 32).\nAnswer: 1380*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.81896 - 0.18104. Which is the closest to -264?  (a) -0.02  (b) -5  (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2677*h - 1342*h - 15 = 1338*h, 0 = -4*r + 2*h - 2 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = 140*n + 2. Let l(q) = -277*q - 5. What is -14*g(x) - 6*l(x)?\nAnswer: -298*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 312991170 and 120.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (24\/(-60))\/(-1)*30?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -8 in -2, 5\/4, -16.6, -2\/299?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1002 (base 3) in base 7?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/5 of a centimeter in millimeters?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s + 10 = -d + 265, 4*d = 4*s - 240. Suppose -2*l - 18 = 2*q, 5*l - q = 3*q - s. Let m = l + 26. List the prime factors of m.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6357164113 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -594387*g*u**2 - 271*g + 13*u - 14 wrt u.\nAnswer: -1188774*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 386 from 4.0347568.\nAnswer: -381.9652432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24 = -3*s - h + 4*h, 4*s + 32 = -h. Let l(r) = -r**3 - 8*r**2 - r - 10. Let b be l(s). Is 1521 + (4 + 4)\/b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 6\/7, -2, 125, 4\/5, -0.2 in decreasing order.\nAnswer: 125, 6\/7, 4\/5, -0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 plus 9964?\nAnswer: 9961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 16604 and 56.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 m and 1 i when two letters picked without replacement from miaiam?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = -90*h + 38. Let c be s(-7). Let t = -476 + c. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = -18*r**2 + 1264 - 2531 + 1253. Let o(n) = n**2 + 1. What is 5*k(b) + 70*o(b)?\nAnswer: -20*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert -102113 (base 4) to base 7.\nAnswer: -3266","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -8  (b) -0.09  (c) 2\/3  (d) 5\/24481\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -4*a**5 - 1470*a**3 - 2*a**2 + 326446*a wrt a.\nAnswer: -80*a**3 - 8820*a - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1943 - -1950. Solve 3*c - 13 = -a for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 94 in -0.3, -4, 0.1, -0.5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*w - 5495 = w. Let b = w - -87947\/16. What is the common denominator of b and (174\/(-33) + 5)\/((-4)\/34)?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*c + 295 = -5*x - 3*c, 4*x + 2*c + 238 = 0. Let m = x - -119. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 + 9 = f. Let r = -9 + f. What is the remainder when 1 is divided by r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = -v**2 - 20*v + 24. Let y be l(-21). Solve -3*n - 4*c = 3 + 2, 0 = y*n - c - 5 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4085 is divided by 56?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*s**4 + s**3 - s**3)*((1 + 0 + 1)*(3*s + s - 3*s) - 3 + s + 3 + 17*s + 1 - 4*s + s).\nAnswer: -34*s**5 - 2*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y + 0*j = -5*j - 211, -j = -1. Let m = y + 190. Calculate the greatest common divisor of 34 and m.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = -32*o**2 - 25*o - 23. Calculate r(-1).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*f**5 - 7*f**5 + f**5 + (-2*f**3 + 2 - 2)*(-3*f**2 - 2*f**2 + 6*f**2) + (-2*f**5 + 0 + 0)*(15 + 10 + 34).\nAnswer: -126*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y + 8 = 20. Differentiate -3*v**y + 0*v**4 + 4*v**4 - 4 - 3*v**4 wrt v.\nAnswer: -8*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -2612.414 to the nearest one hundred.\nAnswer: -2600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*q = -174*b + 177*b + 20, -5*q - 30 = 5*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = 39*v - 7. Let m(i) = 39*i - 8. Calculate 6*l(f) - 5*m(f).\nAnswer: 39*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 13466 is divided by 1088.\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 32 and 36.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) be the third derivative of -d**5\/20 + 59*d**4\/4 - 3481*d**3\/2 + 7621*d**2. Factor n(v).\nAnswer: -3*(v - 59)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1407 and 2268687?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 514998960?\nAnswer: 2, 3, 5, 7, 43, 7129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 15 - 62 - (55 + -88)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18540 = 23*y + 88*y + 657*y + 159*y for y.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 68a (base 16) in base 5?\nAnswer: 23144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i = -i - 90. Suppose 0 = 3*t + 5*d - 287, -i = -t - d + 69. What is the greatest common divisor of t and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*b + 7*b - 5*d - 10, -b - 2 = -5*d for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.4505485 years to centuries.\nAnswer: 0.004505485","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y*y**(-1\/7))**48*y**(5\/7)*y**(2\/29)\/y)**30 assuming y is positive.\nAnswer: y**(249240\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = -4*d**3 + 27*d**2 + 7*d - 4. Calculate l(7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -2 + 25. Suppose -3*g + 1 = 2*k, 0 = 3*k - 0*k + 2*g + 1. Let y be 3\/(-3)*(-6)\/(-2)*k. Solve 4*r - h = -p - y, -3*r + 15 = -p for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((4*sqrt(288) + (sqrt(2) - (-2 + 1*sqrt(2))) - (sqrt(24)\/sqrt(4)*6)\/(sqrt(300)*-2)) + -3)**2.\nAnswer: -483*sqrt(2)\/5 + 233339\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -30*q**2 + 23*q**2 + 18*q**2 - 7*q**2.\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t + 325 = -7*a + 8*a, -5*t + 410 = 5*a. Calculate the least common multiple of 18 and t.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = 10*o**3 + 9*o**2. Let r(u) = u**3 + u**2 - 1. Give 2*i(a) - 18*r(a).\nAnswer: 2*a**3 + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 12, g: 1, d: 7}. Give prob of sequence odg.\nAnswer: 7\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = -12*c + 10. Let q(d) = -8*d + 7. Let s(l) = 7*q(l) - 5*u(l). Let g(w) = -6 + 2 + w - 5 + 0. Let z be g(10). Determine s(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7358*m - 7313*m = 225. Solve -34*t + 78 = m*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 38873, 38874, 38875?\nAnswer: 38876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 194 minutes before 6:22 PM?\nAnswer: 3:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 2463308425?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q**1\/q)\/((q*(q*q\/(q*q**1))\/q*q)\/q*q))**(2\/43) assuming q is positive.\nAnswer: q**(-2\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express (4 - 2 - 4)*(6*g**2 - 7*g**2 + 19*g**2) - 3*g**2 - 8*g + 2 + 8*g as d*g + b + i*g**2 and give i.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.11 - -0.21. What is the closest to q in -4, -2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1 - 4 - 4) + (-976)\/(-80) + -8?\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 39 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5612 (base 8) to base 10.\nAnswer: 2954","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1\/1403 + -4214\/7015. What is the third smallest value in p, 0, -5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -172*f - 31 = -168*f + 3*z + 2*z, 0*z - 30 = -2*f + 4*z for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = -76*f**2 - 19*f - 14. Let i(z) = -51*z**2 - 13*z - 10. Determine -7*i(g) + 5*t(g).\nAnswer: -23*g**2 - 4*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express -80*g + 40*g - 4*g**2 + 40*g as q*g + y*g**2 + x and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-12)\/28)\/(4\/2). Let x = 1.3752 + -1.2752. What is the nearest to x in -2, h, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 8, 3, 5, 0.1, 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 3499271*v**4 + 2713*v**2 - v - 461 wrt v?\nAnswer: 83982504*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 3336751 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -36*b + 39*b - 221*b = -13298 for b.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = i**3 + i**2 - 3*i - 2. Suppose 5*y - 6 = 9. Let l be k(y). Is 1*l + -4 + 2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -2448, -4869, -7238, -9543, -11772, -13913, -15954?\n\"Answer: 2*d**3 + 14*d**2 - 2477*d + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*2*sqrt(121)*4)\/(sqrt(66)\/(sqrt(6) + (sqrt(150) - (sqrt(150) - (sqrt(150) + 2*sqrt(150))) - sqrt(6)))).\nAnswer: -600*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1.33 - -1.43. Put a, 4, 0.12 in decreasing order.\nAnswer: 4, 0.12, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-728)\/208*(-24)\/(-14)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = 1638*y**2 - 57*y + 6. Let v(i) = 234*i**2 - 8*i + 1. Let o(s) = 15*v(s) - 2*z(s). Is o(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -43533, -87065, -130597?\nAnswer: -174129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 14082 != 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 707 minutes before 4:07 AM?\nAnswer: 4:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = -4*q + 2. Let o(l) = -l. Let d(z) = -a(z) + o(z). Let w(h) = -1. Determine -d(s) + w(s).\nAnswer: -3*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -250, -246, -240, -232?\nAnswer: -222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 36 divide 6854288?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(-3\/4))**(2\/89) assuming s is positive.\nAnswer: s**(-3\/178)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -487004*i**4 + 4*i**2 - 20197*i wrt i?\nAnswer: -11688096*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-12)\/(-1)*2\/6. Suppose -4*h - 3*s + 4 = -16, 0 = -2*h - s + 12. Suppose 4*t = h*t - 8. Solve -t*y + 1 = c, -7*c + 6*c - n = -3*y for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 50022165.\nAnswer: 3, 5, 3334811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (19*o**3 + 0 - 1 + 50*o**3)*(0*o**2 + 2*o**2 + 4*o**2).\nAnswer: 414*o**5 - 6*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-282)\/16*(-4)\/(-246). Let n = 2041\/246 - a. Calculate the common denominator of n and 1\/10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 2, -2, 28646, 0.5 in descending order.\nAnswer: 28646, 2, 0.5, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1758\/1172)\/(((-72)\/(-32))\/(3\/16))*-2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -40 = -i - 38. Suppose -r = i - 10. Suppose r*o - 4459 = -195. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 7 - 0 - (-37 - (-3 + -38))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 100 - -1000002120?\nAnswer: 1000002220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1735*z + 38587 - 38587 to the form h*z + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 23\/4 - 5283\/916. Suppose 0 = -3*r + 325*b - 329*b - 19, -3*r = -2*b - 5. Which is smaller: x or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = -z**3 + 12*z**2 + 7*z - 176. Give l(11).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = -9*k + 88. Let f be m(9). Calculate the common denominator of -37\/105 and (-65 + (5 - f))\/27.\nAnswer: 945","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 362821 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -9 - -1. Let u = 2290 + -50389\/22. Find the common denominator of (7\/(-21))\/(x\/(-57)) and u.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = -k**2 - 4*k. Let h = -27 - -54. Suppose -3*m + 12 = -2*l, 0*l = -2*m - 5*l + h. What is the lowest common multiple of w(-2) and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 552 minutes before 12:13 PM?\nAnswer: 3:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -5505 - -5515. Let k(w) = -w**2 + 11*w - 26. Determine k(h).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -14.3, -1, -0.4 in ascending order.\nAnswer: -14.3, -1, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 1218645224 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 88 + -49 + -52 - (1 + -2)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -4 + 5. Which is the nearest to 1?  (a) m  (b) -6  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (7 - 0) + (-45)\/(-9). Suppose -24*z - x = -30*z. Suppose -36 + 26 = -z*l. Solve h - 16 = l*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 62475 (base 14) to base 6.\nAnswer: 5024343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -2542812.648 rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -9 + -142?\nAnswer: -14b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3112212 is divided by 282928.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d - 3*q - 1 - 28 = 0, 0 = 2*q + 6. Let z be 3\/(d + (-41)\/4). Which is bigger: z or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 140766 by 76.\nAnswer: 70383\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 836877024?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 339856 is divided by 329?\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (sqrt(175) + -2*sqrt(175) + sqrt(175))**2 + -5 + 0 + -3 + (4*(sqrt(175)*-2 + -2 + sqrt(175)))**2.\nAnswer: 320*sqrt(7) + 2861","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n + 9 = 5*d - 61, 0 = -n. Suppose 0*t = 4*t - 2*r - d, -4*t - 2*r = -18. Calculate the least common multiple of 10 and t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o - 56 = -5*o + 3*m, o + 3*m = -1. Let a be -2 + 8 + 0 + -2. Suppose a*f - 422 = -26. What is the greatest common factor of f and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*p + 17 = 4*d, 4*d - 3*p = -p + 18 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.06 - -2.94. Let j = 164139\/17675 + -2\/2525. Let d = j - 123\/14. What is the nearest to d in -1\/6, -0.5, s?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = -o**3 - 18*o**2 - 22*o + 14. Let w be t(-17). Let s(x) = -48*x + w*x - 4 - 47*x. Let n be s(-2). Sort 3, 5, n in decreasing order.\nAnswer: 5, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1138964797 by -2.\nAnswer: 1138964797\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 15 - 13. Find the second derivative of c*h + 4*h - 20*h**2 - 5*h wrt h.\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.3, -1\/2, -3\/2, 2.62.\nAnswer: -3\/2, -1\/2, 0.3, 2.62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 0 + 4*n**2 - 6*n**2)*(-20 - 33 + 16)*(-5*n + 0*n - 5*n).\nAnswer: -740*n**3 - 740*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(-2 + sqrt(171) + sqrt(171)))**2 + ((4 + sqrt(171))**2 + sqrt(171))*-2.\nAnswer: -78*sqrt(19) + 314","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = -1299800*q - 11698199. Give f(-9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k + 121 = 2*k. Let i = -117 + k. Put -4, 0, i in descending order.\nAnswer: i, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 248363.6g in kilograms?\nAnswer: 248.3636","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r + 0 = z - 4, -3*z - 16 = -5*r. Find the common denominator of -79\/8 and (1 - -1) + z\/(-5).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 403?  (a) -110  (b) -0.1  (c) -1  (d) -0.2  (e) -0.3  (f) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 29 = -8*m + 37*m. Solve 3*j - 19 = -5*f, 4*j - f = 6*j - m for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 927\/5 < 184?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -2446019, -4892234, -7338449, -9784664, -12230879, -14677094?\n\"Answer: -2446215*h + 196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15*t - 18*t - 4*g = -13, 0 = 6*t - 4*g - 50 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3*h**5*v + 86*h**2*v**3 + h*v + 8*h + 13*v**3 wrt h.\nAnswer: -60*h**3*v + 172*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -236*d + 238*d - 52. Suppose 0 = 7*f - 3*f - 2052. Suppose -4*b + o = -b - 380, -4*b - 5*o = -f. Calculate the remainder when b is divided by d.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 34 + -23. Let w = s - 8. Let t = -20\/33 - 2\/33. What is the nearest to t in 1\/4, 5, w?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15 = -3*o - 3*w, 0 = o + 3*w - 12 - 3 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 18672, 59011, 126236, 220341, 341320, 489167, 663876, 865441?\n\"Answer: -v**3 + 13449*v**2 - v + 5225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 63673 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.003 rounded to 1 decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1, 13, 37, 71, 115, 169?\nAnswer: 233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1.58 + -1.84. Let z = r + -0.24. Which is the nearest to 0?  (a) -1  (b) 9  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*a - 128*r + 131*r = -7, -4*a - 2*r - 12 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2828 + 2838. What is the remainder when 26 is divided by s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*b + 3*b - 4*b + (1 + 5 - 2)*(-2*b + 5*b + 4*b))*(-2 - 3 + b**2 - 2*b + 8).\nAnswer: 25*b**3 - 50*b**2 + 75*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 4369 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-920)\/(-460))\/((-2)\/(-26)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 109865a (base 11) to base 10\nAnswer: 1914769","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.8, -5, -44, 5 in increasing order.\nAnswer: -44, -5, 0.8, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 1 - -85 - (28731 - 28636)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -17693*u - 4 + 3186*u + 4.\nAnswer: -14507*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -1\/2  (b) -669  (c) 2\/7  (d) -1  (e) 1\/7  (f) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 228 = 50*m + 167 - 789 for m.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = q**2 + 19*q + 53. Let n be r(-16). What is the common denominator of (-29150)\/13500 + (7\/n - 1) and 47\/2?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -13*1*(0 + -1). Let g = b + -9. Let x(c) = c**2 - 2*c - 5. What are the prime factors of x(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 1\/(((-4)\/(-10))\/((-120)\/300)). Sort -0.155, 0.4, o, 4, -0.2 in increasing order.\nAnswer: o, -0.2, -0.155, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 15935833120912 + -6.\nAnswer: 15935833120906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1150)\/(-250) + 6\/15.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 562 is divided by 560.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 8159\/5442 - -2\/2721. Factor y*r + 1 + 1\/2*r**2.\nAnswer: (r + 1)*(r + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = 1110*n + 392051. Give k(-353).\nAnswer: 221","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 3.9, -3, -2\/7, -1\/3, 2\/7, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 108239?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 3067 at most as big as 3068?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -349*a + 324*a = -74550. Is 7 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -7 in 4, 5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*n - 2*n - 30 = 0. Let s(d) = 1 + 2 + 7*d**2 - 7*d - d**3 + 5. List the prime factors of s(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 135239 + -226283. What is the hundreds digit of v\/(-270)*10\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 34 + -23. Suppose -2*b + 18 = -2*z, 0*b - t = b - 5*z. What is the remainder when b is divided by (-14 - 2)*(-5)\/10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -26005 (base 9) to base 12.\nAnswer: -a165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -0.1 times 0.2\nAnswer: -0.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/10 of a millennium in decades?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1342374 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/14*(7 + (-285)\/45)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = -25*q - 109. Let v be k(-5). Let p(l) be the second derivative of -l**5\/20 + 5*l**4\/4 + 8*l**3\/3 + 5*l**2\/2 - 44*l + 2. What is p(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = -3*w**2 + 4*w - 3. Let z be n(2). Let t be z\/(14\/324) + 1. What is t rounded to the nearest ten?\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 141 + -358. What is the units digit of 5 + r\/42 + 3217\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) be the second derivative of u**7\/105 + 3*u**6\/50 + 4*u**5\/25 + 7*u**4\/30 + u**3\/5 + u**2\/10 + 9*u. Suppose b(d) = 0. Calculate d.\nAnswer: -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3?  (a) 0.2  (b) 0.1  (c) -6965  (d) 5\/2  (e) 2\/57\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8\/((-94)\/(-220) - 11\/55) + (-99)\/495.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (35 - (26 - 61)) + -1?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -20, -15, 12, 67, 156, 285, 460?\n\"Answer: h**3 + 5*h**2 - 17*h - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -3 - -4. Let f(n) = -10*n + 5. Let a be f(2). Let z be (-2)\/3*a\/10. Calculate the highest common divisor of z and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/((-32)\/((-128)\/(-34))).\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -5 + 2ba?\nAnswer: 2b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 301267 to the power of 1\/3, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -365713 + 179199281\/490. Let f = o - -4\/49. Which is bigger: -1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-m - 2*m + 5*m)*(-1 + 3 - 1) + 2*m + 0*m + 0*m - m + m + 2*m + 602*m - 258*m - 216*m - 311*m - 21.\nAnswer: -177*m - 21","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p = -3*p - 4. Let h = 2 - 3. Let q = h + 0. Do p and q have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-18)\/135 + ((-11582)\/(-15) - 2). Suppose -6*z + 4808 = g. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 3576206, 14304803, 32185798, 57219191, 89404982?\n\"Answer: 3576199*l**2 + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"}
{"text":"Question: Suppose y = -4*t + 9111, 6*y + 9096 = 7*y + t. Does 16 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 18283358, 18283356, 18283354, 18283352, 18283350, 18283348?\nAnswer: 18283346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1\/(2\/6*-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 3 + 3)*(4*f - 3*f + 0*f) + 3*f - 4*f + 0*f - 28*f + 402 - 402.\nAnswer: -27*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = 99*z**2 - 2*z. Let x(d) = d**3 + 10*d**2 - d - 9. Let n be x(-10). Let g be i(n). Let s = g - 39. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 7, g: 1, n: 2}. Give prob of sequence cg.\nAnswer: 7\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = -z**2 - z - 1. Let x(b) = b**3 + 9*b**2 - 4*b + 23. Let t(v) = 6*o(v) - x(v). Let l be t(-15). Suppose 0 = -3*d + d + 8. Solve 3*w + d - l = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/3, -6712, -12, 0.3, 2 in decreasing order.\nAnswer: 2, 0.3, -2\/3, -12, -6712","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-3)\/(-1)*(-2)\/(-6). Let h = 34\/3 + -11. Let f = 13.4 + -13. Put f, h, z in decreasing order.\nAnswer: z, f, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:35 AM and 3:20 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 32, 52, 72, 92, 112, 132?\nAnswer: 152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (-5)\/2*624\/260?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = -2*g**2 - 185*g - 1109. Let q be d(-86). Solve -40 = -q*n - 22 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 15418 and 104.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1094 + 944 = -10*n for n.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 83741330.\nAnswer: 2, 5, 8374133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -1 - 100538?\nAnswer: -100539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 288897843946 - -443.5.\nAnswer: 288897844389.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 36519487 to the power of 1\/2, to the nearest integer?\nAnswer: 6043","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -1\/15  (b) 0.04  (c) 5  (d) -0.057  (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 231 minutes before 7:14 AM?\nAnswer: 3:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 63 + 5. Suppose -f + 48 = -5*v. Put -1, 5, v, -3 in decreasing order.\nAnswer: 5, v, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 46 = -33*t + 29 - 49. Let j = -13\/33 - -313\/627. Which is the second smallest value?  (a) j  (b) t  (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bnnu. What is prob of sequence unb?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*g - 5*g - 4*q - 73, 2*q = -3*g - 45. Let o = g - -19. Let v(x) = 34*x - 166. Let f be v(5). Solve -f*p + o*p = -4 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d + 2*d + 122 = i, -d - 14 = 5*i. Let j = d - -26. Calculate the lowest common multiple of 2\/(-3 - -1) + 6 and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = -5*d. Let t(r) be the first derivative of -1\/3*r**3 + 0*r**2 + 0*r - 2. Give t(v(l)).\nAnswer: -25*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 644 - 456*q - 240 - 207 - 197.\nAnswer: -456*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 67074817 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 54 + 46 + (-68 - 7).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -1a - -64b53?\nAnswer: 64b35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*h - 236 = -180 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 2*(-2)\/(-4) + 0. Let h be (-5)\/10 - 21\/(-6). Let y(w) = -4 + 1 + h - 6*w. Determine y(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*l + 5*l + 3793*l**3 - 10832*l**3.\nAnswer: -7039*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1431 = -685*v + 676*v. Solve -v + 171 = -3*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) be the second derivative of -19*u**5\/20 - u**4\/12 + u. Let j be k(-1). Solve 3*h - 5*d + 3*d + 10 = 0, -5*h + 2*d - j = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 46818?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (2\/(-9 - -7))\/(1\/(-1)). Suppose 9 = -2*t - t. Let j = 21 + -25. Which is the second smallest value?  (a) i  (b) j  (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = -105*t - 816. Calculate z(-16).\nAnswer: 864","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 48 a factor of 50511757?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = -2*h**2. Let x(u) = -936*u**2. What is z(x(a))?\nAnswer: -1752192*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express 54 - 182 - 127 - r - 78 - 72 as d + c*r and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = -6*i**2 - 4*i - 3. Let y(n) = 88 - n + 0*n - 199 + 110. Let s be 4\/(-2)*(-6)\/12. What is s*f(r) - 3*y(r)?\nAnswer: -6*r**2 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.3 take away 3565918945?\nAnswer: -3565918945.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(sqrt(2) + 3) + (sqrt(16)\/sqrt(2))\/sqrt(4) + sqrt(98) + -2*(sqrt(98) + 2) + (sqrt(98) + 2)*-2)**2.\nAnswer: -128*sqrt(2) + 528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -892*u + 117*u - 15320*u**2 - 1 + 15313*u**2 to n*u + b*u**2 + t and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (12\/(-28))\/((-21)\/((-28)\/4)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 h and 1 x when three letters picked without replacement from dhddddhdxhohx?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5 + ((-1682)\/145 - -6)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -j**5\/3 + 174*j**4 - 8372*j**3 + 317720*j**2\/3 = 0.\nAnswer: 0, 26, 470","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w - 1478 = 318. What are the prime factors of w?\nAnswer: 2, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4506*u**3 + 462*u**3 - 876*u**3.\nAnswer: 4092*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + (sqrt(117) + sqrt(117)*2 + sqrt(117) + sqrt(117))**2 + -1)*1.\nAnswer: 2922","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 42*n - 129307 = 139493. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 1, z: 1, h: 1, c: 2, e: 2}. What is prob of sequence ex?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = -946*q + 2421. List the prime factors of o(-36).\nAnswer: 3, 7, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -137, -1078, -2647, -4844, -7669?\nAnswer: -11122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -4 and 0.074.\nAnswer: -0.296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 2 + 2*p**5)*(23 - 69 - 3).\nAnswer: -98*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put -9, -25, 13, -5 in increasing order.\nAnswer: -25, -9, -5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -4  (b) -5  (c) 0.235  (d) 1\/52  (e) -3  (f) 0.6\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*z - 2*z = 0. Suppose z = p - 3*i - 3, 5*p = p - i - 1. Solve p = -3*s - m - 1, -5*m - 2 - 3 = -s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 649 + 3957 = -329*o for o.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1126666 and 4330?\nAnswer: 866","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 37 + -31. Suppose -i*w + 34 - 4 = 0. Solve w*c - 3*t = 18, -4*t + 1 = -5*t for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*j**2 + 265450632*j - 4404002376824964.\nAnswer: -4*(j - 33181329)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:49 PM and 11:51 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.2, -0.3, -1043 in ascending order.\nAnswer: -1043, -0.3, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((w**(2\/9))**(-48)*w*w**(2\/13)*w**(4\/3))**(-11))**(3\/23) assuming w is positive.\nAnswer: w**(3509\/299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 1271287404 less than -507.66?\nAnswer: -1271287911.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 1b5a (base 12) in base 2?\nAnswer: 110100110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2)\/(16\/12)*48\/36?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 4517331 and 177177.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w**4\/11 - 674*w**3 - 44436*w**2\/11 - 88840*w\/11 - 59216\/11 = 0. Calculate w.\nAnswer: -3701, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 76 and 36.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 24 - 22. Let p(c) = -2*c**2 - c - c**3 - 3*c**n + 0*c**3 + 3*c**2. What is p(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 112\/28 + (1 - 3). Solve -f*s = -3*m - 11, -m - 2 = 2*s - 1 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.1897 and 14742.\nAnswer: 2796.5574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1577 - -1568. Do n and -157\/19 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 6063198136 to the nearest integer?\nAnswer: 77867","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -859.1 + 858.8. Sort 12750, r, -1.\nAnswer: -1, r, 12750","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4601 + 10682 + 6*y**2 - 4682 to the form t*y + h*y**2 + c and give h.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -3 - -3. Let z be -1*1*(-3 - -5). Let j be (-15)\/22 + z\/(-4). Sort i, 0.5, j in ascending order.\nAnswer: j, i, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ccubku. Give prob of sequence ub.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is -31 <= -1\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*d = 4*d. Suppose 7*x - 4*x - 9 = d. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 77145\/(-10) + 11 - 2\/4. What is the tens digit of (y\/18)\/(3\/(-6))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + -5 + (-5 + sqrt(153) + 0 - (-4*(sqrt(17) + -2 + sqrt(2057) + sqrt(2057)))**2).\nAnswer: -143959 + 1475*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 490?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh biggest value in 435, 1, 0.3, 2, -1799, 1\/3, -4?\nAnswer: -1799","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3 by -1583.\nAnswer: 3\/1583","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = -2*z**2 + 5*z - 1. Let t(o) = o. Suppose 0*w = -w, -5*w + 3 = -3*u. Give u*v(g) + 5*t(g).\nAnswer: 2*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -11 + 7046*w - 2*w**2 - 14117*w + 7107*w to the form s + z*w**2 + f*w and give s.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 778547743?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (232\/(-6))\/((-2)\/6) is divided by 30.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 44 divide 90024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 290097908 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = 21*t + 11. Let o(s) = s - 1. What is -4*g(b) - 44*o(b)?\nAnswer: -128*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u*u**10)**(6\/7)\/(u*(u*u*u\/u**(-1\/3)*u)\/u)**(-2\/11) assuming u is positive.\nAnswer: u**(2360\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 10165 - 8?\nAnswer: 10156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is (89\/1335)\/((-66)\/36)?\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = 20*g**2 + 8*g - 5. Let z be (-32)\/(-4)*-1*1. Let x(d) = -7*d**2 - 3*d + 2. Let r(q) = z*x(q) - 3*f(q). What is the first derivative of r(t) wrt t?\nAnswer: -8*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = -3*f + 3 - 1 + 1. Let g(z) = 88 - z - 156 + 69. What is 5*g(b) - u(b)?\nAnswer: -2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 22807 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1176 - 1176.45. Is -0.01 != r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = 2*b**2. Let h(y) = 154*y**2 - 463*y**2 + 203*y**2. Give s(h(j)).\nAnswer: 22472*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 307128637 to the nearest integer?\nAnswer: 675","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = z + 6. Let f(b) = -b - 7. Let g(h) = 5*d(h) + 4*f(h). Let r be g(0). Let i(o) = 3*o + r*o - 3*o. Let a(t) = -t. Determine i(a(p)).\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = 3 + 6 - 5*d + 4*d. Suppose x + x + 3*i + 17 = 0, 3*x - 2*i = 33. Calculate a(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*m**2 - 45*m**2 - 294*m - 1789*m.\nAnswer: -54*m**2 - 2083*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 28662 (base 13) in base 16?\nAnswer: 12810","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 + 2*w**2)*(3*w + w - 5*w) + 4*w**3 - 12*w**3 - 15*w**3.\nAnswer: -25*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 56394315 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 130\/14 - 2\/7. Let v be ((-6)\/m)\/(2\/(-9)). Is 1065\/9 - 1\/v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 81405.\nAnswer: 3, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a + 0 = 10. Suppose -a + 1 = -w. Suppose 28 = -w*i + 116. Does 22 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -104.9656 - -105. What is s rounded to 3 decimal places?\nAnswer: 0.034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -2  (b) -0.4  (c) 285\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c*c\/(c\/c**(-2)))\/c*c**(2\/5)\/c*c*((c**0\/c)\/c*c)**(-4) assuming c is positive.\nAnswer: c**(12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2517*r + 50 = 2507*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((s*s**(-4))\/s*s*s**(2\/7)*s)\/((s*s**(1\/4))\/s**10))**(2\/7))**(1\/41) assuming s is positive.\nAnswer: s**(197\/4018)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 42674311?\nAnswer: 4637, 9203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(35)\/(-1*sqrt(7))*-5 + (sqrt(5) + -2 + 1 + sqrt(5) - ((sqrt(5) - (sqrt(640)\/sqrt(8))**2) + sqrt(5))).\nAnswer: 5*sqrt(5) + 79","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = -3*q + 21. Let k be y(0). Let m be k*4\/(-12) + -321. Is m bigger than -327?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 918*h*o**2 + h - 328*o**3 + 8484307*o wrt o.\nAnswer: 1836*h - 1968*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1862, -1831, -1744, -1571, -1282, -847?\nAnswer: -236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is b in -5*b**2 - 23830*b + 1350160 = 0?\nAnswer: -4822, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d\/d**(-1\/2))**(-3\/8)*(d**(11\/6)\/d)\/d*d**18\/d assuming d is positive.\nAnswer: d**(781\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 2481338257 plus 3?\nAnswer: 2481338260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 678484249 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 34 divide 150936868?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -9*f + 4*f + 7*f to z*f + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 1255409429 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y - 4*b + 284 = -924, b = 3*y - 1798. Calculate the lowest common multiple of 40 and y.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*w + 11*w + 4*m = 16, w - 2*m = -8 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 6\/43 + 56\/215. Let i = 0.1116 + 5.0184. Let d = 0.13 - i. What is the closest to s in -1\/3, d, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -170745, -170733, -170697, -170625, -170505, -170325?\nAnswer: -170073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.5683 - 115.0483. Let t = b + -2.52. Let f = t - -102. Which is bigger: -1 or f?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 29\/5 of a hour?\nAnswer: 348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from raraaaaaarrraa. Give prob of picking 2 a.\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21 = -8*v + 11*v. Suppose 40 = 5*y + 2*a - v*a, 5*a + 10 = -y. Solve -15 = 5*d + y for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13 = 3*c - 2*u, 12*c - 10*c = 3*u + 12 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1852 is divided by 84.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 14.6 + -0.6. Let t = 14.000292 - r. What is t rounded to 5 dps?\nAnswer: 0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 36 and -32.\nAnswer: -1152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: (5 + -17 + 12)\/6\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v - 2*v = -111. Let c = 40 + v. Is 8 a factor of (-60)\/((-3)\/(-2) - c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.22 + 0.52. Let q(u) = 2*u**3 - 3*u**2. Let n be q(2). Let k be (-2)\/(-10)*n\/2. What is the third smallest value in m, k, -1\/5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*j + 3*j = -w + 20, 0 = -5*j + 4*w + 22. Let l(f) = f**3 - 7*f**2 + 3*f. Let a be l(j). What is a rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*f**2\/15 + 146*f\/5 - 836\/3 = 0 for f.\nAnswer: 10, 209","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (10 + -16 - -156)*(-221500)\/3. Round g to the nearest one million.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (229 - n**2 - 519 + 156)*(0*n**3 - 3*n**3 + 5*n**3).\nAnswer: -2*n**5 - 268*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(525) + sqrt(525) + sqrt(525))\/sqrt(7).\nAnswer: 20*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 15285*-57\nAnswer: -871245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = 5*a - 2. Let s(u) = 4*u - 2. Let d = 22 + -27. Let v = d + 10. Give v*b(o) - 6*s(o).\nAnswer: o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sum -399.30262570135 and 0.2.\nAnswer: -399.10262570135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8\/((-40)\/9)*(-5)\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand 129*p**2 - 129*p**2 + 12*p**3 + p**3 + 0*p**3 + 0*p**3 + (-p**2 + 2 - 2)*(-6*p - p + 5*p) + 1343*p**2 + 54*p**3 - 1343*p**2.\nAnswer: 69*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 231*(-2)\/3*(-636)\/8904.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:33 PM and 12:48 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.2 in 2\/5, 1, 2\/7, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = -16*v - 1. Let f be r(0). Let m be 0*(-5 - -2)\/(-3). Which is the closest to m?  (a) -1\/26  (b) -4  (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23*l - 3 = 43. Let o(b) = 810*b**2 - 403*b**2 - 405*b**l. Let k(j) = j**2 - 13*j. Calculate k(o(q)).\nAnswer: 4*q**4 - 26*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 227*o - 40*o, -7*s - 3*o - 2*o = -3*s - o + o - 4 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-19968)\/512*4\/(-66))\/(2\/44)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*v**4 + 38*v - 38*v + 4)*(13*v + 13*v - 22*v).\nAnswer: 12*v**5 + 16*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -32122232 (base 5) to base 10\nAnswer: -270317","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + 62 + 1736 + -1762 - -9?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2*(-4)\/8*-3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) be the second derivative of -v**7\/21 + 9*v**5\/20 + 112*v**4\/3 - 317*v. Find the third derivative of d(k) wrt k.\nAnswer: -120*k**2 + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is one sixth of a hour in minutes?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 12807 + -12804. Solve 0*f + 0 + 3\/4*f**t + 0*f**2 - 1\/4*f**4 = 0 for f.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 13\/6 + -5\/3. Suppose 3*m = q + q - 156, 5*m = 5*q - 385. Let c = q + -377\/5. What is the nearest to c in 2\/5, -4, o?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2.124 + 1.624. Which is the smallest value?  (a) m  (b) 2  (c) 1  (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-z**3 + 2*z**3 - 2*z**3 + (-8*z**3 - 3*z**3 + z**3)*(-3 - 1 + 2))*(0 + 0 - 1)*(-77 + 77 - 31*z).\nAnswer: 589*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) be the second derivative of 251*k**4\/12 + 428*k. Let a(v) = -v**2 - v**2 + 6*v**2 - 5*v**2. Give a(p(h)).\nAnswer: -63001*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/13, -5\/3, 271 in decreasing order.\nAnswer: 271, 2\/13, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 161746.\nAnswer: 2, 13, 6221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -14*l + 430366 + 30290. Suppose v - 3959 = -2*q - 36855, 0 = v - 2*q + l. Round v to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (6\/(-4))\/((-1)\/(-24)*9). Put 0.005, 4, 2, j in descending order.\nAnswer: 4, 2, 0.005, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -238*i = -248*i - 90 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 6168*p**3*s - 10*p**2*s + 2*p*s - 665*s - 13 wrt p.\nAnswer: 18504*p**2*s - 20*p*s + 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = -c**3 + 4*c**2 + 2*c - 4. Let g be n(4). Suppose -2*x - 30 = -g*a, -x - 4*x = -15. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) be the second derivative of 15*n**7\/14 + n**4\/6 + 21*n**2\/2 - 54*n. What is the third derivative of p(g) wrt g?\nAnswer: 2700*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 385 is divided by 65.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*y + 28, 5*y - 78464 = -d + 103894. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = -3*d**3 - 1. Let q be p(-1). Suppose -q = 2*c, c = -n + 3*c + 10. Let i = -82 - -104. What is the remainder when i is divided by n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 26 - 21. Let p be (i\/2)\/((-9)\/(-18)). Suppose s + 33 = 5*u + 10, -2 = -2*u - 2*s. Solve -2*w - 22 = 5*b, -4*b = -p*w + u*w + 15 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(1*sqrt(85))\/sqrt(5)*-2.\nAnswer: 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2624, -3077, -3720, -4553, -5576, -6789?\nAnswer: -8192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = -g + 59. Is u(0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ussfyse. What is prob of sequence sefe?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 36 and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**2)**44*(q**(-1))**(-14\/5) assuming q is positive.\nAnswer: q**(454\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1235?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1248, 1251, 1258, 1269?\nAnswer: 1284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is (-12 - 4) + 10 + 52793 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j + 622 = 6*t - 4*t, 0 = 5*t + j - 1551. Let n = t + -204. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 715459781 to the nearest integer?\nAnswer: 894","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -4874.2 rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -67671897*l**3 + 51574720 wrt l?\nAnswer: -203015691*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 168730597 a multiple of 192?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -8 + 0*-1*(-2)\/(-4)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -i**2 - 75305*i - 2709684.\nAnswer: -(i + 36)*(i + 75269)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 6675249379 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = q + 3 + 3*q**2 + 0*q**2 + 2*q. Suppose 0 = -3*u - 1473 + 1467. Calculate r(u).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 33 + -16. Let h = q + -16.8. Put 1\/10, 1, h, 0 in descending order.\nAnswer: 1, h, 1\/10, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = n**2 - 2*n. Let f be l(2). Find the common denominator of 2 - (f - (-106)\/(-12)) and -115\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -11 + 11.000234. Round y to four dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 142120017?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (28\/48*-30)\/((-1)\/2).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 137, -13, 3\/7, 5, 2\/15, 0.73.\nAnswer: -13, 2\/15, 3\/7, 0.73, 5, 137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 2, b: 3, h: 6, d: 2}. What is prob of sequence bhd?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 - 5*b + 5)*(49 + 36 + 9).\nAnswer: -470*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = u**2 + 9*u - 60. Let x be g(-14). Solve 2*k + 4*o = k - x, 5*k + 12 = -o for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -6*w**2 - 92*w**2 + 14*w**6 - 235*w**2 wrt w?\nAnswer: 1680*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) be the second derivative of 5*k**3\/3 + 83*k**2\/2 - 33*k + 1. Let t be d(-12). Sort 1, t, 3 in ascending order.\nAnswer: t, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -1\/8 + 1\/4*p**2 - 1\/8*p**4 - 1\/8*p + 1\/4*p**3 - 1\/8*p**5.\nAnswer: -(p - 1)**2*(p + 1)**3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p\/((p*p\/((p\/(p*p*p**3))\/p))\/p))\/p**(-1))**(2\/37)\/(p**(-4\/19))**(-3\/7) assuming p is positive.\nAnswer: p**(-1508\/4921)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 32 = 2*l - 90. What is the remainder when l is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 164790260065 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0.16 + -0.15999995. What is a rounded to 7 dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2580 and 7219098?\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 29\/6142640 and -121\/30.\nAnswer: 18427920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -23, -162, -393, -716?\n\"Answer: -46*i**2 - i + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = p. Let s(v) = 10*v**2 + v. Let c be s(1). Suppose -3*n - 2 + c = 0. Let w(h) = 5*h + h - n*h. What is z(w(f))?\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 980677593?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -6593*b*f**4 - 93069*b*f**2 - 13667*f**3 + 41*f**2 - 2*f wrt f.\nAnswer: -158232*b*f - 82002","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*v + 13 = -3*a, 2*a - 74 + 122 = -38*v for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 6, v: 2}. What is prob of sequence rv?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in seventeen quarters of a century?\nAnswer: 5100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 191899 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 207 divided by -69.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -169 - -199. Calculate the smallest common multiple of 4\/(-2) + (-92)\/(-4) and y.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - d + 1 - 2)*(413*d - 657 - 660 + 1313).\nAnswer: -413*d**2 - 409*d + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = 58*c - 1 + 6 - 3 - 3. Let w(v) = -v**3 + 6*v**2 + 1. Let m be w(6). What is the units digit of g(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-90000)\/(-12)*1*1\/(-2). Round n to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = 2*o**3 + 2*o**2 - 2*o + 2. Let k be h(5). Suppose 4*y = 120 + k. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 8234699 and 66?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6*17.7.\nAnswer: 106.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 158783?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) be the first derivative of -3*n**2\/2 + 11. Let m(s) = -13*s**2. Calculate w(m(z)).\nAnswer: 39*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -1\/7, 0, 0.053, -0.4, -4.357, -2\/9, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (5 - 9)*(1 - -1). Let o = k - -16. Is 3 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 3\/323 - 14867\/969. Let o = -10912 + 294556\/27. Find the common denominator of y and o.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 11904 and 21043296?\nAnswer: 2976","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 2982293?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify u**(-2\/19)\/u**(-9)*u**(-2\/13)*u**(-11) assuming u is positive.\nAnswer: u**(-558\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 48, 32, -4, -66, -160, -292?\n\"Answer: -j**3 - 4*j**2 + 3*j + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide 5040813 by 1680271.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 35867604 less than -130.5?\nAnswer: -35867734.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o + 182 = -31*o. Let a(x) = x**2 + 9*x + 6. Give a(o).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(68)\/sqrt(4))**2 + 3 + sqrt(153)*2 + sqrt(153).\nAnswer: 20 + 9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ttto when four letters picked without replacement from tttotooott.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 645 and 1245.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 142.7 + -143. Which is the third biggest value?  (a) 3  (b) -0.12  (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*c + 14 = c - f, f + 53 = 4*c. Suppose -c*o + 15*o = 298. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3811997.\nAnswer: 7, 23, 23677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -330180 - 23*j**2 + 330180 - 6*j.\nAnswer: -23*j**2 - 6*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -79*h = 96*h - 1750 for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1159535 is divided by 1624?\nAnswer: 1623","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2 + 9 - (28 + 0)) + (1 - -4).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.38 - 0.3. Let g = 460 - 460.08024. Let x = g + r. What is x rounded to four dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1014 - 657. List the prime factors of r.\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 20*r**5 + 21*r**5 - 78*r**5 + (152*r + 3*r**3 - 152*r)*(r + 3*r - 6*r)*(-r + r + 2*r).\nAnswer: -49*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-233 + -2 - -2)\/3. Let q be -11*(6 - -1)*-1. Let l = t + q. Do l and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -285*g + 285*g + 4*g**2.\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 257106?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) be the third derivative of -u**5\/20 - u**4\/12 + u**3\/3 - u**2. Let z be 9\/(-6)*(-100)\/30. Suppose c + 6 = -2*y, z*c + 4*y + 24 = 6. Calculate a(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 668557, 668650, 668743, 668836, 668929?\n\"Answer: 93*u + 668464","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 9488425 + 2?\nAnswer: 9488427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 21546 and 414.\nAnswer: 495558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.9 - 0.99. Let z = -0.29 - r. Which is the second smallest value?  (a) -0.5  (b) 0.1  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -5355*p**3 - 6*p**2 + 291 wrt p?\nAnswer: -32130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -22\/51 or -1?\nAnswer: -22\/51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u + 3*y + 24 = 0, 7*y - 2*y + 15 = 0. Let n be (6\/(-5))\/(23\/u + -5). Suppose 4*d - n*p + 7 = 113, 5*d - 130 = 5*p. Does 6 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = 17*a**2 - 19*a - 34. Determine g(-5).\nAnswer: 486","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 248 a factor of 120261321?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 264, 441, 518, 483, 324, 29, -414, -1017?\nAnswer: -1792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 5*g**2*r**3*u**2 - 2*g**2*r**2*u**3 - g**2*r*u**3*z + 8*g*r**2*u**3 + 2*g*r**2*u**2*z**2 - 17*r**3*u**3*z**2 + 2*u**2*z**2 wrt r.\nAnswer: 30*g**2*u**2 - 102*u**3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1 - 0. Let k(a) = a + 1. Let h(r) = 6*r - 7. Let m(j) = -h(j) - k(j). Let g(v) = v - 1. Let c be (-26)\/4 - (3 - 7\/2). Calculate c*g(x) + s*m(x).\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4570*w + 1219500 = 8980*w for w.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 530.939014 rounded to the nearest integer?\nAnswer: 531","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 + v**2 - 5)*(12*v**3 + 52 - 52) + v**4 - v**5 - v**4.\nAnswer: 11*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.666000109 to one decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 0.5, 0.1, 2\/25, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) be the third derivative of -y**8\/1344 + y**7\/168 - 3*y**6\/160 + 7*y**5\/240 - y**4\/48 + 22*y**2 - 10. Factor t(u).\nAnswer: -u*(u - 2)*(u - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 46.4736ng?\nAnswer: 0.0000000464736","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -378 = -d - 3*d - 2*z, -2*d + 2*z + 180 = 0. Let v = d - 21. Does 25 divide (-4)\/18 + 1816\/v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 430 minutes after 6:13 AM?\nAnswer: 1:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 75606 to the nearest integer?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 459*c + 5715 - 20862 for c.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) be the first derivative of -2*i**5\/25 - 2*i**4\/5 - 2*i**3\/3 - 2*i**2\/5 - 1. Factor l(c).\nAnswer: -2*c*(c + 1)**2*(c + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = 4*m**2 - 14*m - 5. Let p be v(4). Differentiate 41*z**3 - 12 - 13 + 33*z**p - 64*z**3 with respect to z.\nAnswer: 30*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-398000002)\/(-4) + 2\/(-4). Suppose n = 16*f - 21*f. What is f rounded to the nearest 1000000?\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u\/(u\/(u\/(u**(-2\/7)*u))))\/(u*(u\/(u\/(u\/(u**(-6)*u))))\/u))**19 assuming u is positive.\nAnswer: u**(-760\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {t: 5, p: 7}?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is k in -4*k**5 - 7572*k**4 - 253976*k**3 - 2141432*k**2 + 253980*k + 2149004 = 0?\nAnswer: -1859, -17, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = q**2 + 4. Let r be n(0). Suppose 0 = 5*y + 4*c - 11 - 7, 2*y - 4*c + r = 0. Factor 5*p - 5*p - y*p + 2*p**3.\nAnswer: 2*p*(p - 1)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(-31)\/(t*t**2*t))**(-1\/59) assuming t is positive.\nAnswer: t**(35\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2276639699?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u\/(u*u**(-2\/17)*u*u)*u*u)\/u**(-1\/6)*(u**(2\/5))**(-1\/31)*(u**(-3\/7)*u*u\/(u\/((u\/(u\/u**(-3\/2))*u)\/u))*u)**(-4\/3) assuming u is positive.\nAnswer: u**(6499\/36890)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = 9*x**3 - x**2 - x. Let o be r(-1). Let n = o + 11. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.3 and 53.\nAnswer: -15.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Add together -5075132 and -3.\nAnswer: -5075135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xxax. Give prob of sequence axa.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7001\/(-560080) + 301\/(-1520).\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 2 divided by -4873\nAnswer: -2\/4873","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -29\/480 and -167\/6404760?\nAnswer: 25619040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 43\/36 and 33\/310012.\nAnswer: 2790108","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"}
{"text":"Question: Let g = 10418 - -163. What is the remainder when g is divided by 72?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 0 - 1 - 14\/(-26). Is -1 at most as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 10583, 21208, 31833, 42458?\nAnswer: 53083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -1105381211 - 5096\nAnswer: -1105386307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.4  (b) -25  (c) 2  (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) be the second derivative of -2*u**5 + u**4\/2 - 5*u**3\/6 + 15004*u. Let m(c) = c**3 + c**2 - c. What is l(j) - 5*m(j)?\nAnswer: -45*j**3 + j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -2 - (-12 + (-9)\/(-3)). Suppose 2*y - q*y - 5*t - 5 = 0, -5*y + 5*t = -35. Let s be (-1)\/((-1)\/(y - 1)). Solve 0 = -2*j - c + 5, 15 = s*c - 7*c for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-7 - 3) + (-396)\/(-39).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 566.2558 litres to millilitres.\nAnswer: 566255.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.023, -0.4, 66, 5, 0.2, -1 in decreasing order.\nAnswer: 66, 5, 0.2, 0.023, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = 13*n**3 - 5*n + 2. Let r(c) be the second derivative of -3*c**5\/10 + c**3\/3 - c**2\/2 - 11*c. Let p be 178\/38 - (-66)\/209. Determine p*r(a) + 2*z(a).\nAnswer: -4*a**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Divide 11197205 by -97367.\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2904 is divided by 78?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g + 11 = 5*c, -4*g - 5*c + 6 + 21 = 0. Let m(z) = 34*z - 874. Let t be m(26). Which is smaller: t or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -6, -41, -100, -183, -290, -421?\nAnswer: -576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (0 - -4) + (4008 - 4026)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) be the first derivative of -r**2\/2 - 9*r - 359. Give k(-13).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = -5*f**2 - 17*f - 3. Let r(o) = o**2 + o + 1. Determine -h(n) - 6*r(n).\nAnswer: -n**2 + 11*n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (0\/37)\/(310\/(-31)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 46bcc6 + -c?\nAnswer: 46bcba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t**(-1\/4))**(-3\/4))**(-34)*(t**(-2\/5))**11*(t*t**5)\/t**(2\/19) assuming t is positive.\nAnswer: t**(-3709\/760)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 22250 - 2?\nAnswer: 22246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 5 (base 11) to base 7\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = -x - 1. Let u(g) = 3*g**3 - 3*g**2 + 2*g - 38. Determine u(y) + 2*z(y).\nAnswer: 3*y**3 - 3*y**2 - 40","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -h. Suppose -3*q + 4 = q. Let n(c) = 13*c + 1. Let d(s) = 38*s + 2. Let w = 0 - 3. Let m(k) = w*d(k) + 8*n(k). Determine q*m(v) - 12*r(v).\nAnswer: 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -571 - 26*a - 19*a - 621 + 1137 + 41*a.\nAnswer: -4*a - 55","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is -92\/29 equal to -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -78  (b) 2509  (c) 0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = 2*n**2. Let k(j) = -4*j**2 + 2*j - 2. Let u(x) = -x + 1. Suppose 2*b + 3 = -1. Let t(d) = b*k(d) - 4*u(d). Determine t(i(a)).\nAnswer: 32*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -260 = -8*r + 4*r. Suppose 6*b - b = r. Solve -b = 4*s - 1 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 46*h = -31*h - 17164 + 17087 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence akt when three letters picked without replacement from {g: 1, a: 1, k: 1, l: 1, r: 1, t: 2}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 621 + -371. Let j = 239.3 - x. Let o = 7.6 + j. What is o rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2059 - -2074. Let y = -3 + 5. What is the closest to -2 in 1\/2, w, y?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-n**2 - n + n)*(38 - 20*n + 38 - 133).\nAnswer: 20*n**3 + 57*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1 + 4. What is the nearest to -6 in -0.2, -0.3, x?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wqqk when four letters picked without replacement from {u: 2, w: 4, l: 1, q: 4, k: 9}?\nAnswer: 6\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 5834, 5838, 5842?\n\"Answer: 4*y + 5830","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3690168639185 - -5.\nAnswer: -3690168639180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 112 is divided by 29?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 113\/6624 and -145\/35328.\nAnswer: 105984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = -2*b**3 + 64*b**2 - 39*b - 333. What is o(30)?\nAnswer: 2097","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is (-17)\/(408\/32) + (-26)\/(-66)*2?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = 106*d - 430. Let c be b(4). Sort 5, c, 2, -2 in descending order.\nAnswer: 5, 2, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 24*((-35)\/10 + 6). Calculate the greatest common divisor of p and 960.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 11, d: 5}. What is prob of picking 2 k?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-13)\/39*4)\/(4\/(-21))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5*26738.\nAnswer: 133690","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:05 AM and 12:33 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5 + -3 - (39 + -14 + -12) - (-1 + 9)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 489922\/(-58680) - 8\/(-20). Let m = v + 3\/652. What is the common denominator of m and (-12)\/(-4) - 177\/54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1.2 + -28.6. Let d = 8.4 + m. What is the nearest to 0.2 in -1, -0.3, d?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -106*o**4 + 6606*o**3 - 1589357*o**2 wrt o.\nAnswer: -2544*o + 39636","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2584637997?\nAnswer: 3, 37, 3061, 7607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -81\/2266 and -89\/8.\nAnswer: 9064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -33*0.4.\nAnswer: -13.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) be the first derivative of i**3 + 2184. Let d(r) = 35*r**2 - 3*r. Calculate j(d(z)).\nAnswer: 3675*z**4 - 630*z**3 + 27*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (z**2 + 0 + 0)*((1 + 1 - 3)*(-3 + 0 + 2) + (0 + 2 + 0)*(-3 - 2 + 0) - 334 + 103 - 91).\nAnswer: -331*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 119489 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort 27, -4, -3, 0, -15.\nAnswer: -15, -4, -3, 0, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 4, c: 2, q: 2}. Give prob of sequence ec.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11\/2*r**2 + 1\/4*r**5 - 3\/4 - 7\/4*r**4 + 9\/2*r**3 + 13\/4*r = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2184 + 1129 + 1055 + 73*g.\nAnswer: 73*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {n: 10, o: 4}. Give prob of picking 3 n and 1 o.\nAnswer: 480\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v*v*v*v**(-7)*v*v*v*(v*v\/((v*v**(-6))\/v*v))\/v*(v*v**(-1)*v)**(-47))\/(v**(-13)\/((v*v\/(v\/(v*v**(1\/19)*v))*v)\/v))**(-49) assuming v is positive.\nAnswer: v**(-15743\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h - 2*u = -44, -3*h + 2*u + 28 = -6*h. Let c be h\/(-5) + 10\/(-25). Factor -2 - 4*v**3 + 0 + 0*v + 4*v + c*v**4.\nAnswer: 2*(v - 1)**3*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-5)\/20*(8 + -12))\/(-12)\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express 25*s**2 + s**3 - 1 + 2*s - 14*s**2 - 11*s**2 as p*s**2 + d*s**3 + m*s + q and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -99 + 113. Suppose 15*u - 11 = k*u. Let f(w) = 14*w - u*w + w. Let m(g) = -15*g**2. What is f(m(h))?\nAnswer: -60*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.3 times -19823175?\nAnswer: 5946952.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i*i**(-9\/4))\/i)\/i**(3\/10)*(i**(-7)*i)\/i*i**0\/i*i assuming i is positive.\nAnswer: i**(-191\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (66\/(-4) + 1)*-6. Suppose 5*k - 17 - 93 = -5*m, -5*m = 4*k - a. Does 17 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 53354 is divided by 53352.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express (1 + 2*n - n**2 - 3*n**3 - 12*n**3 + 12*n**3)*(-4 + 4 - 3) as a*n**3 + o*n**2 + c*n + g and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 6542878*y*z**2 - 5*y*z + 331576*y + 2*z**2 - 5*z wrt z.\nAnswer: 13085756*y + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*y = -9*y + 3*u + 41, -6*y + u = -18 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p, 1 y, and 2 z when four letters picked without replacement from {y: 5, r: 1, p: 1, z: 6, b: 1}.\nAnswer: 75\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*c**3\/9 + 1370*c**2\/3 + 1824*c + 16408\/9.\nAnswer: 2*(c + 2)**2*(c + 2051)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 163*s + 71866 - 65346 = 0 for s.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*l**5 - 164*l**4 + 174*l**3 + 656*l**2 - 664*l = 0. What is l?\nAnswer: -83, -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -15, -153, -421, -819, -1347, -2005?\n\"Answer: -65*v**2 + 57*v - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.12, -1, -3, -12, -2\/7 in increasing order.\nAnswer: -12, -3, -1, -2\/7, 0.12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1519 + 9065\/6. Calculate the common denominator of a and -71\/48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 469.4796 kilometers?\nAnswer: 469479600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7136\/6 + (-1)\/3 is divided by 171?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from llllllllkllllklllll?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -352.575 less than -370.0203?\nAnswer: -17.4453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (1\/(-1))\/(6\/(-18)). Suppose 14 = -u - 5*y, 5*u - o*y + 0*y + 14 = 0. Sort u, -8, 5 in increasing order.\nAnswer: -8, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*c**5 - 66*c**4 + 63*c**3 = 0.\nAnswer: 0, 1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {c: 6, t: 2, m: 2, h: 5, a: 1, u: 3}?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = -x**2 + 4*x - 1. Let k be g(3). Let w be k\/(-12)*12\/(-9). Which is the smallest value?  (a) -1  (b) w  (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of b**5*r + 408*b**4*r + 189*b*r + 2*r wrt b.\nAnswer: 20*b**3*r + 4896*b**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is -54\/9229 at least 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Product of -326905 and 69.4.\nAnswer: -22687207","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 k and 1 n when three letters picked without replacement from nkkkkkeeeekjeuk.\nAnswer: 3\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -43*t + 40*t + 12 = 0. Let g be ((-1452)\/(-6))\/(t\/6). What is the highest common factor of g and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:18 AM and 8:06 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 78\/(-12)*(-8)\/(-104).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 50 - 44. What is the third derivative of 805*t**4 - 805*t**4 + 17*t**5 - 1 - t**w - 9*t**2 wrt t?\nAnswer: -120*t**3 + 1020*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -608*u**2 - 33*u**3 + 608*u**2 + (-1 + 2 - 3)*(-3*u**3 - 2*u**3 + 3*u**3).\nAnswer: -29*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put 974, -13, -12 in increasing order.\nAnswer: -13, -12, 974","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-84)\/30)\/(20\/(-50)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 minus 114667330552?\nAnswer: -114667330557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = c**2 - 6*c + 3. Let i = 16 + -10. Let w be b(i). Suppose 0 = -w*u + 3*j + 21, 4 = u - 4*j - 0. Solve -3*z = -4*f + 13, -3*z + 2*f = u + 3 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 43*f - 42*f + 5 = 0. What is the second smallest value in 11, 0, -4\/5, f?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10*c + 8*c + 105*c**2 - 22*c**2 - 16*c**2.\nAnswer: 67*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -z**3. Let o(m) = -3*m**3 + 35*m**2 + 40*m. Let t(r) = o(r) + 2*q(r). Factor t(g).\nAnswer: -5*g*(g - 8)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1130968?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3638 is divided by 65?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 782379?\nAnswer: 3, 13, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) be the first derivative of -4*v**2 - 11. Let r(t) = 2*t**2. Determine r(y(d)).\nAnswer: 128*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(2\/3)*z*z*z)\/z**4*z\/(z**(2\/5)*z*z)*z**(-4) assuming z is positive.\nAnswer: z**(-86\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 464447393?\nAnswer: 11743, 39551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3051\/5, -1\/4, -2\/39, -0.4.\nAnswer: -0.4, -1\/4, -2\/39, 3051\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(2*sqrt(152)*-4 + sqrt(152)))\/(-1*sqrt(512)*2).\nAnswer: 7*sqrt(19)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 6?  (a) 1\/6  (b) 13\/3  (c) -1\/6  (d) -13425\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 107646859 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*l - 5*a - 35 = 0, -6*l = -4*l + 4*a + 26 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -54235 + 78039. Is t a multiple of 191?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 762619980?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 303 and 32926?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m - z + 3 - 5 = 0, 3*m - 4*z = 8. Let x be -2 + (-1)\/(1\/1) + 5. Let w be 34\/138 + x\/(-6). Is w < m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 726933047 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*o - 4 + 4)*(2 - 1 - 2)*(-2*o + 0*o + 3*o)*(0 - 1 + 3).\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = v - 4. Let x(w) be the first derivative of w**2 - 7*w - 39. What is -5*m(p) + 3*x(p)?\nAnswer: p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 19607 or 19626?\nAnswer: 19607","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3349952.\nAnswer: 2, 17, 3079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k*k**(-2)*(k*k*k**(-3))\/k)\/((k\/((k\/k**(-5))\/k))\/(k**(2\/7)*k)))\/((k*k**(-2\/5))**(-2\/3)*(k\/k**(-1\/2))**13) assuming k is positive.\nAnswer: k**(-1177\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1243451245?\nAnswer: 5, 97, 179, 14323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) be the second derivative of t**5\/60 - t**4\/3 - t**3\/6 + 43*t**2\/2 - 9*t - 2. Let a(o) be the first derivative of f(o). Calculate a(8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = 3*l**2 + 19. Let t(o) = -6*o**2 + o - 38. Determine 5*i(v) + 2*t(v).\nAnswer: 3*v**2 + 2*v + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 29629045?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 134*c = 121*c - 729187218 - 4403212782. What is c rounded to the nearest one million?\nAnswer: -395000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve y**5 - 121*y**4 + 4847*y**3 - 71159*y**2 + 313248*y + 389376 = 0.\nAnswer: -1, 13, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 47464 and 408?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 896528 and 9864?\nAnswer: 8068752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 438*k = 232*k + 3296 for k.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 0, -597613, 6 in ascending order.\nAnswer: -597613, -5, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from cddddcdd.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -735560, -735586, -735612?\nAnswer: -735638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 51 a factor of 991?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 i and 1 c when two letters picked without replacement from cccqiqcq.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -58191*r**2 + 9996?\nAnswer: -116382*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 103 minutes after 1:46 PM?\nAnswer: 3:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:14 AM and 6:23 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = -4*l + 3. Let j(x) be the third derivative of 2\/3*x**3 + 8*x**2 + 0 - 5\/24*x**4 + 0*x. Give -3*j(g) + 4*v(g).\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-5)\/3*54\/6. Let c be (q - -24) + 4\/(-1). Solve -16 = -c*s - k, 8 = -5*s + 2*s - 5*k for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*w + 8 = -5*j, 0 = 7*j - w + 4851 - 4871 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-w**2 + 0*w + 0*w)*(-w - 5*w**3 + w) + 2*w**2 + 2*w**5 - 2*w**2 - w**4 + w**4 - 4*w**5 - w**5 + 49*w**3 - 36*w**3 - w**5 - 1.\nAnswer: w**5 + 13*w**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a + 48 = -52. Suppose 10*s = 5*s + a. Find the third derivative of 2*w - 3*w**2 + s*w**6 - 2*w + 0*w**6 wrt w.\nAnswer: 600*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j = -u + 16, -5*u + 3*j - 20 = -2*j. Suppose u*k + 5*r = -2*k + 202, 543 = 5*k + 3*r. Does 37 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = -r**3 - 6*r**2 - 3*r + 6. Let s be c(-5). Let a be 4\/8 - 10\/s. Suppose 6 + 6 = a*o. Round o to 0 dps.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11 (base 7) to base 5.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -3261 - -3465. Calculate the highest common factor of 72 and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 367?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*c**4*v + c**3*v - 9*c**2 - 5*c*v - 3*c - v wrt c.\nAnswer: -24*c**2*v + 6*c*v - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -21331102 (base 4) in base 2?\nAnswer: -1001111101010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide 921303 by 9.\nAnswer: 102367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1267037*r**4 - r**3 + 1653505*r**2 wrt r.\nAnswer: 30408888*r - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) be the first derivative of -9*s**2 + 3*s + 8. Is 13 a factor of v(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1.9 - 8.3. Let o = 10 + z. Let w = -682.1 + 682. Sort 8\/7, w, o in decreasing order.\nAnswer: 8\/7, w, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -10288 - -10290. Let b(d) = -47*d + 99. Determine b(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-36 + 79\/(71890\/32708))\/((-2)\/14)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x\/(x\/x**(1\/10)))\/x**(-4\/7))**(4\/13)*x**(-4)*x*x\/(x\/(x*x**(1\/3)\/x))*x**(-5)*x\/(x*(x*x**0*x)\/x) assuming x is positive.\nAnswer: x**(-11548\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.949 + -0.051. Let f = -6 - 22. What is the third smallest value in -0.5, a, f?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.01 and -0.078.\nAnswer: 0.00078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) be the second derivative of -g**5\/20 - g**4\/3 - g**3\/6 - g**2\/2 + g. Is i(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 62181 is divided by 982.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -37, 0, 3, -4.\nAnswer: -37, -4, -3, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = t**3 - 7*t**2 + 10*t - 22. Let f be v(6). Determine y, given that -4*y**f + 296*y + 423 + 304 - 6203 = 0.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*q + 7*h + 58 = 119, 5*h = -32*q + 146 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 6\/113 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hhi when three letters picked without replacement from {i: 16, h: 2}.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 1255.353um?\nAnswer: 1.255353","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.1 + -1.1. Let i = 0.3126 + 0.1874. Put f, i, -3\/5 in decreasing order.\nAnswer: i, -3\/5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -381 - -498.2. Let j = 117 - c. Let f = -3 - -2.95. Put 3\/4, f, j in descending order.\nAnswer: 3\/4, f, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = 2*u - 8. Let o(r) = r**2 - r. Let d be o(-2). Let s be k(d). Let m = 65 + -62. Is m at most s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 54\/78*((-119)\/(-21) - 5)?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 20 or 0.2?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = -2*c - 3. Let n(r) = -r**2 - r - 4. What is 3*h(s) - 2*n(s)?\nAnswer: 2*s**2 - 4*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(4\/5))**(-14\/15)*z*z**(-10\/13)*z**(-26) assuming z is positive.\nAnswer: z**(-25853\/975)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -2\/7 or -4327118?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 143?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 728296421.\nAnswer: 728296421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 0.092, 2\/9, -8.\nAnswer: -8, -1, 0.092, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 189, 188, 187?\nAnswer: 186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3839270 + 3040*a**3 + 3839270 + (4*a - 3*a + a)*(a - a**2 - a) to the form y + q*a + s*a**2 + w*a**3 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence iia when three letters picked without replacement from eaeeaeeiia?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 15931 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*v + 15 = 4*a - 16*v, -5*a = -4*v - 21 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: (-970)\/9215 + 16\/513\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*a + 3*l + 159, -a - 3*l + 31 = -2. Let i be 1 - (a\/10 - 3). Let x(r) = r**2 + 6*r + 2. Let s be x(-5). What is the smallest value in 3, i, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-45)\/18)\/((-1)\/6). Let i be (-2 - -1)*(-5 - 12 - -2). Let a be i + 0\/(4 + -2). Is a != z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*m**2 + 8170*m.\nAnswer: -5*m*(m - 1634)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-1)\/3)\/(-1)*6. Suppose 0*w = -k*w + 32. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) be the second derivative of -x**3\/6 - 10*x. Let u(m) be the first derivative of -m**2\/2 - 1. Calculate u(q(y)).\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 891 and 46794.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -6 + 4. Let d = v + 0. What is the second smallest value in d, 4, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) be the third derivative of -m**6\/8 - 23*m**5\/20 - 5*m**4\/4 + 4*m**3 + 209*m**2. Factor x(c).\nAnswer: -3*(c + 1)*(c + 4)*(5*c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + -18 + (9 - 9) - (-20 + 31)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -109247750 divided by 21849550\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 28 + -20. Let b = q + -13. Let k = b - -5.0000085. Round k to six dps.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -136, -474, -1036, -1822, -2832, -4066, -5524?\nAnswer: -7206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = 2*z**3 - 929*z**2 - 2340*z + 2340. Give q(467).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = 12*c**2 + 979*c - 3950. Determine x(4).\nAnswer: 158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in -2, 1\/4, -3\/4, -0.4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 2  (b) 5  (c) -0.2  (d) -2\/9  (e) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express (2 + 1 - 43)*(5*b**2 - 4*b**2 + b**2) in the form g + q*b + k*b**2 and give k.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -656 + 664. Calculate the remainder when 135 is divided by c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -7, 33, 145, 365, 729, 1273?\n\"Answer: 6*c**3 - 2*c - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-14)\/5)\/((-48)\/120)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 7 + 7 - 10*q + 3 wrt q?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*c - 6*c - 3*c)*(2 - 1 + c - 5*c).\nAnswer: 16*c**2 - 4*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -224967, -450010, -675053, -900096?\nAnswer: -1125139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 120 take away -5?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 8122, 32484, 73082, 129910, 202962, 292232?\nAnswer: 397714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = 5*b**2 - 20*b - 86. Give s(-6).\nAnswer: 214","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.101 + -1.385. Let x = -1.11 - k. What is x rounded to 2 dps?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -38 = -3*h + 5*b - 21, 0 = -3*h - 5*b - 23 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 531*f - 52245 = -588*f + 307*f - 349*f for f.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 8557 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor -x**4 + 6299717*x**3 - 94495605*x**2 + 472477775*x - 787462750.\nAnswer: -(x - 6299702)*(x - 5)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f**4 + 2365*f**3 + 16385*f**2 + 34995*f + 20970 = 0. Calculate f.\nAnswer: -466, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = 6*j + 15. Let v(t) = -35*t - 52. Let q(y) = 4*a(y) + v(y). Determine q(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 135427, 270851, 406277, 541705, 677135?\n\"Answer: b**2 + 135421*b + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Add together 2.375 and 0.1.\nAnswer: 2.475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = 7*q + 10. What is o(8)?\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*((-2*(1 + sqrt(612) + 2))**2 + ((sqrt(204)*2)\/sqrt(12) - (sqrt(153) + -4)) + -5).\nAnswer: -7449 - 429*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 50756 (base 9) in base 2?\nAnswer: 1000001010001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = -a + 7. Let d be z(3). Suppose -t + 7 = d*w, -3*t = -4*t + 3*w - 7. Does 3\/20 = t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 11372408*d - 7918507?\nAnswer: 11372408","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(170)*-3*-5 - sqrt(170))\/(2*-1*sqrt(10)) - (sqrt(136)*-3*-3 + sqrt(136) - sqrt(136))\/(sqrt(32)*6).\nAnswer: -31*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 470182 to the nearest integer?\nAnswer: 686","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = 10*q. Let x(j) be the third derivative of 0*j + 0*j**3 + 0 - 1\/20*j**5 - 5*j**2 + 0*j**4. Give x(o(w)).\nAnswer: -300*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = 3*x**2 + 2*x + 7. Let r(k) = -5*k**2 - 6*k - 17. Let b(l) = 3*r(l) + 7*u(l). Let q = -36 - -45. Let z(t) = -25*t**2 + 17*t + 9. Give q*b(i) + 2*z(i).\nAnswer: 4*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.25 + -2.25. Which is the fourth smallest value?  (a) 0.1  (b) m  (c) 3\/5  (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 28748, 120235, 272706, 486155, 760576, 1095963, 1492310?\n\"Answer: -p**3 + 30498*p**2 - 1749","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -8 - -12. Let d = o - 4.001. Round d to 3 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 53.00443ng in tonnes?\nAnswer: 0.00000000000005300443","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (17 - 2) + (-253)\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*r - 32 = -4*x, 0 = -388*r + 385*r + 2*x - 28 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.2 in 2\/3, -4, 0.1, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 3398, 6918, 10442, 13970, 17502, 21038?\n\"Answer: 2*k**2 + 3514*k - 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 34*d**2 + 57*d**2 - d**2 - d + 39*d**2 - d**2.\nAnswer: 128*d**2 - d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 660 - 7245\/11. What is the common denominator of b and ((-3)\/8)\/(18\/328)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 33, 984, -4, 8 in descending order.\nAnswer: 984, 33, 8, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -55*n + 178*n - 23*n = -191*n + 27063 for n.\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (12 - (-1242)\/8*24\/(-468)) + (8 - 12)?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is one tenth of a millimeter in micrometers?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = -v**3 + v**2 - 5*v - 5. Let k(r) = r**2 + 15691 + 3*r - 15688 - 3*r**2 + r**2. Give 5*k(m) + 3*w(m).\nAnswer: -3*m**3 - 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1\/(-1))\/((-3)\/6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify b**1*b**(1\/4)*(b**4*b)\/b**(-1\/7) assuming b is positive.\nAnswer: b**(179\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: (-250)\/(-18) + 209 + -224\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = -u**2 + 7*u + 12. Suppose 5*z + 15 = 0, 0 = -2*l + 7*l + 5*z - 25. Let s be w(l). What is the fourth biggest value in 0.4, s, 3, 0.5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*z + 0*z + z - 3*z.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -1\/4  (b) 381  (c) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 810?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) be the third derivative of 97*a**7\/70 - 250*a**3\/3 - 45*a**2 - 8*a. What is the first derivative of p(x) wrt x?\nAnswer: 1164*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 123344 - 67544. What is the thousands digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 75*m - 14*m + 33*m + 23*m.\nAnswer: 117*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -975 + 1002. Calculate the highest common factor of 1323 and q.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -7, -2 in descending order.\nAnswer: 0, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*n - d + 72, d - 25 + 88 = 4*n. Suppose 4*p + 49 = -2*c + 287, c + p - 116 = 0. What is the remainder when c is divided by n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -97902, -97904, -97906, -97908, -97910, -97912?\nAnswer: -97914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) be the second derivative of -v**5\/4 - v**4\/2 - v**3\/6 + 2*v. Let x(d) = -d**3 - d**2. Let c(o) = 2*w(o) - 11*x(o). Solve c(y) = 0 for y.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b + 0*b - 3*r = -21, -4 = 4*b - 4*r. Suppose o - f - 24 = 0, o - b*f - 48 = -o. What is the remainder when o is divided by -4 + 1 - -3 - -9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 390 + -1593\/4. Let h be 3159\/12 - 2\/8. Find the common denominator of h\/(-24) + 2\/(-3) and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -176 and -3.\nAnswer: 528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -5  (b) 17\/2  (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0 + -1. Let a = 1 + -1. Suppose 3*b = -5*f + 5 - 27, a = -4*b + 4. Sort f, 3, k in ascending order.\nAnswer: f, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -94677.434 rounded to the nearest 1000?\nAnswer: -95000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z*z\/(z*z**(-12)*z))\/z*z*z**(-27))\/(((z*z\/((z\/z**(8\/7))\/z))\/z)\/z)**(-2\/17) assuming z is positive.\nAnswer: z**(-1769\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 32.112 - 32. What is v rounded to 2 dps?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -45210254262 and -0.4?\nAnswer: 45210254261.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = 2*s**2 - 26*s - 19. Let x be r(13). Sort -1, x, 5.\nAnswer: x, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 18 - -18. Suppose -5*a + h = -2*a. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -11120*l**4 + 3439*l**2 wrt l.\nAnswer: -266880*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-5)\/(-3)*(-2 + 8). Solve -2*g + 7*g + 6 = 3*t, -5*t = 3*g - q for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9189.\nAnswer: 3, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13 + 9 = 4*n. Which is greater: -2\/161 or n?\nAnswer: -2\/161","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 4, p: 1, c: 1, s: 1, h: 4}. Give prob of picking 2 y and 1 c.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 1a0 + -5?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = -492*d. Let u(h) = 53*h + 57*h - 220*h + 52*h + 57*h. Calculate c(u(n)).\nAnswer: 492*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2 - 4. Suppose -v + 5*v + 12 = 0. Let c be (69\/27 + v)\/(-2). Sort j, c, -3.\nAnswer: -3, j, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = -2*t + 2 + 0*t**3 - t**3 + 0*t**3 + 5*t**2. Let d be s(4). Solve -h - h = -d for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = -j - 6. Let q be k(-8). Solve 0 = 3*u - u - q*x - 14, -x = -3*u + 13 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 10 - 7. Suppose -6*v + 30 = -y*v. Calculate the remainder when 27 is divided by v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 637?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*p**3 - 2*p**3 - p**3)*(0*p**2 + 0*p**2 - 2*p**2) - 108*p**5 - 47*p**5 - 113*p**5 + (-2*p**3 - 4 + 4)*(2 - 2 + 2*p**2).\nAnswer: -278*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1 - -6) + -2 - (25 - -23 - 28).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 450\/(-30) + 20*1. Solve -5*o + 35 = 3*p, -2*p - o + 9 + r = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/4?  (a) -2  (b) -252  (c) 0.14  (d) -5  (e) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 43463 is divided by 15?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 96*j - 1242 + 4858 + 6076 = 1340 for j.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 23a (base 11) in base 3?\nAnswer: 101120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f - 84 + 78 = 0. Put -1\/5, -2, f, -0.6 in descending order.\nAnswer: f, -1\/5, -0.6, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z = -2*z - 5. Suppose -13 - z = 3*l. What is the units digit of (-44)\/l + 6\/9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 143970 is divided by 447?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = -2*x**3 - 4*x**2 + x + 5. Determine k(-4).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = -k**3 - 11*k**2 + 98*k + 403. Determine i(-16).\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 5*h*l**3*m**3 + 3*h*l**3 - h*l**2*m**2 - 2*l**3*m**3 + 2*l**2*m**3 + 4*l**2*m**2 wrt l?\nAnswer: 30*h*m**3 + 18*h - 12*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -0.07*8255121\nAnswer: -577858.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.008034448 rounded to 4 dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"}
{"text":"Question: -383790*0.03\nAnswer: -11513.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 75 (base 16) in base 11?\nAnswer: a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -1, 5, -197, -58?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -10893\/28 + 389. Does t = -0.02?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 1323*d**3\/5 + 3843*d**2\/5 - 123*d\/5 - 5043\/5.\nAnswer: 3*(d - 1)*(21*d + 41)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:51 PM and 3:08 AM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*w**2 + 2*w**2 - w**2 + (-2*w + 0*w + w)*(0 + 0 - 2*w))*(-1 + 1 - w**3 - 2*w + 2*w + w**3 + (0*w + 0*w + 2*w**2)*(2*w + 3 - 3) - w**2 + w**2 - w**3).\nAnswer: 9*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 576*x - 576*x + 63*x**3 + (-4*x + 4*x + x)*(0 + 0 - 2*x**2) - 16*x**3 - 9 + 9 to n + u*x + v*x**2 + l*x**3 and give l.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -319 + 319. Let n(u) be the first derivative of -6\/5*u + x*u**3 + 3\/20*u**4 - 9\/10*u**2 + 3. Let n(z) = 0. Calculate z.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 19.37234588 minus 60199?\nAnswer: -60179.62765412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*((sqrt(612)*-1 - sqrt(612))\/sqrt(12))\/(sqrt(3) - 2*sqrt(48)).\nAnswer: 12*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 495  (b) 1\/4  (c) -3\/5  (d) 17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-59*s + 59*s - 5*s**2)*(17 - 17 + 4*s) - s + s**3 + s)*(-s**2 + 2 - 2).\nAnswer: 19*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.35 - 0.05. What is the nearest to 0.2 in s, 1\/5, -1\/7?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -73, -82, -105, -148, -217?\n\"Answer: -x**3 - x**2 + x - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5 - (-8 + 4 - -1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -7.18 + 9.5. What is q rounded to 1 dp?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = 2*v + 14. Let a be p(-6). Solve 3*m + 0*b + 17 = 2*b, -a*m + 10 = 4*b for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = 4*g**2 + 6*g. Let x(d) = 15*d. Give t(x(m)).\nAnswer: 900*m**2 + 90*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*sqrt(180) - sqrt(180))\/(sqrt(225)*5 + sqrt(9)))**2.\nAnswer: 5\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 17, 24, 31, 38, 45?\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -70, -156, -256, -376, -522, -700, -916?\nAnswer: -1176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 247156549 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 51*g + 1093102 + 2255117 = 72*g. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 271475, 5, -15 in increasing order.\nAnswer: -15, 5, 271475","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (7\/(-3))\/(1\/(-3)). Suppose 2*z + 10 = -5*u, 0 = 4*z - 9*z - 5*u - 25. Let o = z + b. Solve 16 = -2*w - o*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 454 + 13. Let u(o) = -235*o + d*o - 234*o. Let k(x) = x**2 - 2. Let r(n) = -2*n**2 + 7. Let s(w) = -7*k(w) - 2*r(w). Determine s(u(a)).\nAnswer: -12*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from cccccccccc.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = 4*z + 8. Let c be g(-2). Suppose -m = -c*m. Solve m*q = -2*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find a, given that -225*a**5 - 2435*a**4 - 1340*a**3 + 5040*a**2 - 640*a - 400 = 0.\nAnswer: -10, -2, -2\/9, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = v**3 + 27*v**2 - 26*v + 61. Let r be d(-28). What is the tens digit of 5 + r\/(20\/3488)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -261530610 + 5?\nAnswer: -261530602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 2\/8 - 15\/(-4). Suppose -2*u + 8 = -v + 2*v, j*u = -5*v + 28. Let w(r) = -2*r**3 + 3*r**2 - 1. Determine w(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of d**2*u*z - 12007*d*u*z - 19*u*z + 3*u + 22*z - 1 wrt d?\nAnswer: 2*d*u*z - 12007*u*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-9)\/18*(-43 - 1). Let j = -349 + 547. Calculate the greatest common factor of j and y.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -708 times 2422?\nAnswer: -1714776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.5, 24, -1\/11, -39\/7 in ascending order.\nAnswer: -39\/7, -1\/11, 0.5, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 - (0 + -10) - 75 - -28?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*f + 5*c - 19 - 71, -4*f = -4*c - 32. Let g = f + -3. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t\/((t\/(((t*t*(t\/(t**(-2)*t))\/t)\/t)\/t))\/t))**(-1\/26)\/(t**(-2)\/t*t)**(-45) assuming t is positive.\nAnswer: t**(-1171\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 10343490?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-18)\/(-16) + (-9)\/72. Sort h, -6, 3.\nAnswer: -6, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) be the first derivative of 637*z**2 + 401*z - 1728. Find the first derivative of u(y) wrt y.\nAnswer: 1274","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 730200.1mg to grams.\nAnswer: 730.2001","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = 125*b - 29507. Calculate r(236).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-3*w**2 + w**2 - w**2)*(2*w**2 + 4 - 4) + 2 - 2 - 2*w**4)*((-2 - 1 + 5)*(-2*w - 2*w + 6*w) - 5 + 5 + 17*w).\nAnswer: -168*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve a = 2*b + 3, -b = -5*a - 1716 + 1722 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 21\/8 of a century?\nAnswer: 3150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 48\/20 - (-2)\/(-5). Let n(s) = 5*s + 93 - 8 - s. Let h be n(-21). Calculate the highest common divisor of x and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f = -f - 75. Let i = -19 - f. Suppose 0*h = h + i. Let x(m) = m**2 + 5*m - 8. Give x(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2.85 + -444.85. Let m = j - -442. What is the closest to m in 4, 2, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13.6238 millennia in years?\nAnswer: 13623.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26 = 4*d - 3*r, -5*d = -10*d - 2*r + 21. Suppose 0 = 3*j - d*j. Suppose 5*a - 96 - 319 = j. Does 14 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.01 - 952549383?\nAnswer: -952549382.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vxezxezeeazzzezev. Give prob of picking 1 z and 1 v.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -601*d**3*g**3 - 91*d**3*g - 3*d**3 - d**2*g**3 wrt g.\nAnswer: -3606*d**3*g - 6*d**2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {a: 5, z: 8, q: 1, w: 5}. Give prob of sequence waww.\nAnswer: 25\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = -4*j + 25. Give i(-4).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 898 = -266*n - 698 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-8)\/3*(-3)\/(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (-621*f**2 + 995*f**2 - 527*f**2)*(3 - 3 + 5*f) - 3*f**3 + 2*f**3 + 3*f**3 as g*f**3 + o + r*f**2 + t*f and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 1581810318 to the power of 1\/6, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 11\/4 of a tonne?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 3053761320 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 601*u**2 - 203*u + 410*u - 207*u + 783*u**2.\nAnswer: 1384*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 4976\/2193 at least 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = n**3 - 2*n**2 - n. Let l be s(4). Suppose 4 = 2*c - 20. Let w be (-1)\/(c\/(-224))*3. Calculate the highest common divisor of w and l.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:18 PM and 5:56 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = -2*u - 39. Give a(-9).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12\/(-14)*2\/(-3)*36\/24.\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 2099421407 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 6 in -0.9, 532, -3\/7, -30?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-14)\/7 - (-6)\/5. What is the third biggest value in -0.4, q, 2\/17?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -168, -3, 5, 8, -8, 1 in increasing order.\nAnswer: -168, -8, -3, 1, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3\/16?  (a) -0.06  (b) 2\/11  (c) -8  (d) 0.4  (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + sqrt(6)\/sqrt(3))*-5 + ((sqrt(2160)\/sqrt(3))\/sqrt(10))**2.\nAnswer: -5*sqrt(2) + 57","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 + -12 - (-13 - (-35 + (28 - -38))).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 56 - 58. Let k(f) = -f**2 - 4*f + 6. Let u be k(-5). Let w = u - t. Calculate the greatest common factor of 12 and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 300.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -757153\/198 + 3824. Is k less than or equal to -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-200)\/16*((-24)\/(-36))\/((380\/(-168))\/(-19))\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(-7)\/r*r\/r**(-1\/4))\/(r**(-1))**(-12\/17) assuming r is positive.\nAnswer: r**(-507\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 34, 96, 200, 346, 534, 764?\nAnswer: 1036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 67496878 is divided by 120.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z + 7 = 4*v, 0 = 2*z + v - 6 - 1. Solve -y + z = t, 2*y - 2 = 6 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 62517?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 2\/(-4)*(-1 - -5). Suppose -5*p - 2*q - 26 = 0, -2*p + 4*p = 4*q + 4. Which is the nearest to 1\/3?  (a) l  (b) 1  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.26288 to 3 decimal places.\nAnswer: -0.263","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from gsuhuuggpp. What is prob of picking 2 g?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.1521930588 to 5 dps.\nAnswer: 0.15219","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 71 a factor of 1152?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (z - 3 - 22*z + 48*z)*(-1 - 9*z + 1).\nAnswer: -243*z**2 + 27*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 8*c - 9*c - y + 174, -872 = -5*c - 3*y. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = -d + 6*d + q, 2*q = -4*d - 2. Factor n - 3*n**2 - 2*n + 3*n**2 + n**d.\nAnswer: n*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -239.813 - -2365274.\nAnswer: 2365034.187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round 122330.6717 to the nearest one thousand.\nAnswer: 122000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-29)\/(2262\/(-72))*(-39)\/(-6). Solve -4*r = -2*y - 14, -2 = -y - z*r + 5*r for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*d - 8*d + 24. Let b(n) = -5*n + 1. Let y(c) = -26*c + 6. Let l(a) = 5*b(a) - y(a). What is l(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 33 and 88.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand l**5 + 9*l**5 + l**5 + (-l**3 + 3*l**2 - 3*l**2)*(5*l**2 - 3*l**2 + 0*l**2) + 4 - 4 - 21*l**5.\nAnswer: -12*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 1038574 to the power of 1\/3, to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 1 - (-3)\/(-7) - (-2132)\/287. Let i be (80\/14 + 24\/84)*a. Let z = 48 - -1. Are z and i nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 154*c**3 + 6*c**2*r + 3754*r wrt c.\nAnswer: 462*c**2 + 12*c*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 14431 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.2 in -2\/11, -0.2, 2, 207, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*o + 4*p + 36, -9*o + 3*p + 49 = -4*o. Calculate the greatest common divisor of o and 935.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((10\/90)\/((-368)\/5796))\/(21\/(-80)).\nAnswer: 20\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -5\/2, -0.1, 415, -5, -2\/3, 1\/2, -1\/4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.2?  (a) 75  (b) 2\/77  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (18\/(-15) - -1) + 1737062\/10. Suppose 5*j - 289494 = -3*t, 2*j - 3*t = -j + d. Round j to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 41139 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = g**3 - 6*g**2 - 16*g + 7. Let j = 10 - 2. Let z be x(j). Suppose 0 = -2*h - z + 9. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1235839900?\nAnswer: 2, 5, 12358399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/7?  (a) -7  (b) 24  (c) -1\/4  (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 9 + -3 + -2 + -1 + 17 + -99?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 3750264.74 rounded to the nearest 1000?\nAnswer: 3750000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2774 - 2783) + (0 - 2) + 70?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -9 - -11. Suppose 70 = 2*k + r*n, k + 0*n - 15 = 4*n. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-18000)\/(-14)*13\/(39\/(-8400)). Round c to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -63 + 110 = -3*j - 4*q, -2*q = 2*j + 28 for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 2250965 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 8 - 5. Suppose k = -4*k + 3*j - 20, -j = 0. Let v = 2\/49 + 137\/245. Sort v, k, p in decreasing order.\nAnswer: p, v, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = -26*i + 1. Let l(q) = -742*q**2. Give m(l(n)).\nAnswer: 19292*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-18935)\/(-13525))\/((((-13)\/24)\/13)\/(10\/(-54))).\nAnswer: 56\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 58027 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Divide 11 by -3628.\nAnswer: -11\/3628","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 37 a factor of 117773?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -923, -6283, -20773, -48947, -95359, -164563, -261113?\nAnswer: -389563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1258 not equal to 1257?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express -32 - 20 - 3329*u + 4 + 48 as r + g*u and give g.\nAnswer: -3329","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 570143008.0000059 + -570143041. Let z = -33 - n. What is z rounded to 6 decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 10979 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round 606444 to the nearest 1000.\nAnswer: 606000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 50890 is divided by 1083.\nAnswer: 1072","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 584 - 602. What are the prime factors of (-4)\/(-18) - 10058\/w?\nAnswer: 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 762?\nAnswer: 2, 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -109\/20 and 22\/(-4)*((-256)\/(-60) + -4)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*j**4 - 228*j**3 - 3584*j**2 = 0. What is j?\nAnswer: -14, 0, 128","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 27 + -353\/13. Let n = -3.96 - 0.04. Let w be -2 + 0 - 20\/(-11). Sort g, n, w in increasing order.\nAnswer: n, w, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 13 - 16. Let o be ((-3)\/5)\/(1 + c). Suppose 70*h - 157 = 21*h - 108*h. Is h greater than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 263.71 and 1.\nAnswer: 263.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 + 5 = h. Let q = -106 - -274. Suppose -h*j + q = j. What is the greatest common factor of j and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 283.0221mm to meters.\nAnswer: 0.2830221","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -1, -2, 279, 0 in descending order.\nAnswer: 279, 5, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*v - 8 = 3*i, 3*i + 6509*v = 6514*v - 1 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = -g**3 - 13*g**2 - g - 13. Let r(u) = -3*u + 5. Let l be r(6). Let h be t(l). Which is the nearest to 2\/29?  (a) -0.4  (b) h  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -4546616 <= -4546620?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:27 PM and 8:10 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:05 AM and 12:46 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 u and 1 t when four letters picked without replacement from {t: 1, u: 14}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = 9*a**2 + 7. Let n(g) = 4*g**2 + 4. Suppose -4 + 4 = -t. Suppose 23*y - 6*y + 119 = t. Determine y*n(q) + 4*m(q).\nAnswer: 8*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 163947.\nAnswer: 3, 7, 37, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) be the third derivative of x**4\/12 - 3*x**3\/2 - 154*x**2. Let j be a(7). Solve -9*l = -5*l + j*u - 35, -l - 5*u = -20 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (18\/51)\/(132\/44)*1?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 581 minutes after 10:34 PM?\nAnswer: 8:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1684 (base 15) to base 12.\nAnswer: -2981","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 19480 and 25.\nAnswer: 97400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -4.5 - -4. Let x = 0.1 - 0. Let y = x + -1.1. Which is the nearest to y?  (a) i  (b) -5  (c) 5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) be the second derivative of 5*j**4\/12 + 5*j**3\/6 - 36*j - 1. Let t(c) = -c. Give k(b) + 5*t(b).\nAnswer: 5*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -307 + 640 - 3030*p - 334 to the form q*p + a and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 627, -4059, -16723, -41355, -81945?\nAnswer: -142483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = -7*j - 6. What is b(2)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) be the second derivative of -n**3\/6 + 29*n**2\/2 + 117*n. Let l be z(24). Solve l*g - 8 = -23 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 605 minutes before 12:09 AM?\nAnswer: 2:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00121127 rounded to 4 dps?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 3, e: 1}. What is prob of picking 3 w?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = b**3 - 64*b**2 - 57*b - 522. What is x(65)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 9\/(-18)*(-4 - -2). Let s(v) = -22*v + 10*v + 10*v - o. Let i be (-3 + 2)\/(0 + 1). What is s(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -760 - 68 = -36*j. Let n be (j\/3 + -8)\/(2\/(-4)). Let n*m**2 + 392\/3 + 56\/3*m = 0. Calculate m.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 5 + -3. Let o(g) = n*g - 7 + 1 - 1. Let q be o(5). Solve d + 10 = -q*s, -2*s - 5*d + 18 = -4*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*k + 6*k - 2*k - 11)*(-51 + 57 + 25) - 2*k - 7*k + k to d + h*k and give h.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.5 and 7.44?\nAnswer: -3.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 18*550368.\nAnswer: 9906624","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"}
{"text":"Question: Suppose f - 4 = -f. Let x(n) = 66*n - 131. Let y(l) = 36*l - 65. Let j(d) = -5*x(d) + 9*y(d). Let z be j(11). Calculate the highest common factor of z and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 20 divide ((-1106)\/(-21))\/((-5)\/((-30)\/4))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -45 - -304. Does 16 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = a**3 + 4*a**2 - 2*a + 3. Let h be d(-3). Let k(x) = x + 4. Let u be k(5). What is the units digit of 150\/4 - u\/h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-24*w**2 + 13*w**2 - 4*w**2)*(-1642*w**3 + 690*w**3 + 2 + 782*w**3).\nAnswer: 2550*w**5 - 30*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 + 11 - ((-18 - 1) + 60 + -69)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1\/2919 + -110911\/32109. What is the common denominator of 3\/(-198)*(226\/(-6) + 7) and p?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 263*n**3 + n - 148 wrt n?\nAnswer: 1578*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = 16 + 12*a**2 + 9*a**3 + 6*a - 8*a**3 - 5*a. Determine g(-12).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = 162*p**2 + 2*p - 2. What is the units digit of y(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) be the first derivative of 1\/22*a**4 - 2\/33*a**3 + 0*a**2 + 3 + 0*a + 2\/55*a**5 - 1\/33*a**6. Factor w(f).\nAnswer: -2*f**2*(f - 1)**2*(f + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -1.02 and 140719.2702.\nAnswer: 140718.2502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 4 + -2 + 1 + -1 + -2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(200) - sqrt(200)*-3) + 1)**2 + ((-2*sqrt(242))**2 - (2 + sqrt(8)\/sqrt(4))).\nAnswer: 79*sqrt(2) + 4167","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 5166 + -3481. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 11.4 + -11.571. Let o = z - -0.171123. What is o rounded to five dps?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (0 + -1)\/(4\/(-20)). Suppose 0 = a - 4*a + 24, 14*w - 158 = 3*a. Suppose -2*p + 3 = -3. Put p, u, w in increasing order.\nAnswer: p, u, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14248 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = m**2 - 4. Let b be u(5). Suppose -4*i - 1 = -b. Suppose -h - 88 = -i*h. What are the prime factors of h?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-12)\/(4 - 7)*(2092 + 2). Suppose 5*j + d = 4*w, 0 = w + 5*j - 947 - 1147. Suppose 5*a - w = 611. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -24 - -504?\nAnswer: 450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Divide 134 by -12.\nAnswer: -67\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -t**3 + 7429731*t - 7429731*t.\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -212378690 divided by 3\nAnswer: -212378690\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*l**2 + 53044*l - 106104.\nAnswer: 4*(l - 2)*(l + 13263)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3302 + 0.15963.\nAnswer: 3302.15963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 89495 a multiple of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 279.17 - 278. Let u = -0.87 + p. Let l = -3\/5 + 1\/10. Which is the biggest value?  (a) -4  (b) u  (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -3778133, -7556265, -11334397, -15112529, -18890661?\n\"Answer: -3778132*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -89*q = -128*q - 171*q + 6510 for q.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 435746?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-4)\/6 - 19\/(-2622)*89. Let d be (0 - -2)\/2 + -3. Let h be (d - 0) + (2 - 0). Is h at least as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = 6500854*o. Let p(y) = 2*y. Determine p(n(j)).\nAnswer: 13001708*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -49 + (-1 + 19 - (-98 - -32 - -91))?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = f**3 + f**2 + f + 1. Suppose 3*k - 2 = 2*k. Let j(n) = 2*n**3 - 4*n**k + 4 + n - 3 + 0 + 5*n**2. Determine -g(x) + j(x).\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*t**2 + 3 - 6 + 2*t + 0 - 2*t**2 as m*t + b*t**2 + y and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -362 - 3937768655.66.\nAnswer: -3937769017.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f = -5*j - 5, -17 = 6*f - 2*f - j. Let s = -23 + 47\/2. What is the smallest value in f, 0, s?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 272 and 315554.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = -75*b + 1821. Let k be q(24). Let l(n) = -3*n + 63. Determine l(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 4908, 9805, 14702, 19599?\nAnswer: 24496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -3 - 21\/3*-1. Suppose z*m + m = 4*h + 135, 3*h - 15 = 0. Suppose 0 = -3*b - 2*y + m, 0*b + 15 = b - 4*y. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -2\/5  (b) 1\/145  (c) 1\/3  (d) 0.48  (e) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 8 (base 12) to base 5\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2 (base 7) to base 12.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-9)\/(-15))\/(3\/30). Suppose -7 - 8 = -3*r. Suppose 5*b - 40 = -4*m, -7*m = -4*m - 4*b + 1. Solve -m*d + 10 = r*y, 3*d - y = -0*y + s for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -10*q**2 + q**2 + 103*q - 108*q to r*q + u + z*q**2 and give z.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((q**(-2\/3)*q)\/q)\/q*(q\/(((q*q*q**(-5))\/q)\/q))\/q*(q*((q**(-1\/4)\/q)\/q)\/q)\/(q\/q**(-1\/5)))**(2\/111))**(1\/36) assuming q is positive.\nAnswer: q**(-7\/119880)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {j: 1, x: 2, a: 1}. What is prob of picking 1 j and 2 x?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express -2221*d**3 + 5078*d**3 - 2309*d**3 - 2*d**2 as k*d + h + n*d**3 + l*d**2 and give n.\nAnswer: 548","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 0.3, -1\/6, 2\/7, 3, 6\/13?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1673506 is divided by 121?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -6*z - 35*z + 123 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -v**5 - v**3 + 604074*v**2 + 11103000*v - 2 wrt v?\nAnswer: -20*v**3 - 6*v + 1208148","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 153 = -15*j + 33 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 4 + 353?\nAnswer: 357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 56*h**4*w**3 + 7*h**2*w**3 + 666*w**3 wrt h.\nAnswer: 224*h**3*w**3 + 14*h*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = -4*l - 46. Let j be r(-12). Suppose 1560 = j*y - 7*a + 9*a, -2*a = -6. What is the tens digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) be the first derivative of -5*k**3\/3 + 7*k**2\/2 - 13*k + 1934. Let v(n) = -3*n**2 + 4*n - 7. What is 7*v(c) - 4*x(c)?\nAnswer: -c**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 14493, 14511, 14529, 14547, 14565?\n\"Answer: 18*x + 14475","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*i**3 + 44022 - 88028 + 44050.\nAnswer: -3*i**3 + 44","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 296\/1036 - 66\/(-14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 2 divided by -31266\nAnswer: -1\/15633","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:35 AM and 12:45 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Determine w so that 105*w**5 - 4625*w**4 + 4550*w**3 + 7700*w**2 + 1720*w = 0.\nAnswer: -2\/3, -2\/7, 0, 2, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Determine r so that -5*r**3 - 24647*r**2 - 34498*r - 9856 = 0.\nAnswer: -4928, -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-2)\/(-10))\/((90\/(-200))\/(-9)). Let l = -1 + 1. Suppose f = -l*f. Which is the biggest value?  (a) f  (b) p  (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z**5\/17 + 137384*z**4\/17 - 6041900*z**3\/17 + 3537272*z**2 + 138942494*z\/17 + 72629584\/17 = 0. What is z?\nAnswer: -1, 23, 68648","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 + 19 + 23 - 74 + 2*s + 25.\nAnswer: 2*s - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -5*g**2 + 3559*g + 14323. Calculate w(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) be the first derivative of p**3\/3 + 13*p**2\/2 + 5*p - 4. What is the remainder when d(-13) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) be the first derivative of m**4\/8 + 4*m**3\/3 + 13*m**2\/4 + 3*m - 31. Solve p(z) = 0 for z.\nAnswer: -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d - 163 = 25. Suppose -4*y = -5*n - 51, 4*y - 3*y = -3*n + 34. What is the remainder when y is divided by (-6)\/8 - d\/(-16)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -8, 0.018, -2\/21, -1, 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Total of -0.84 and 1867.9575.\nAnswer: 1867.1175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 < 3\/10977961?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-2)\/(-6) - (-136)\/24. Solve -k + g = 7*v - 2*v, 5*k = 3*v + 2 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = 92*b**3 - 13*b**2 + 257*b - 35. What are the prime factors of w(9)?\nAnswer: 31, 2203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -54 = 6*p, 3*f - 9752 + 9800 = -0*p - 4*p for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 301 or -1?\nAnswer: 301","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 67976 is divided by 67220.\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = -4*j + 29. Let v be p(5). Suppose -v*r + 0*r + r = 0. Solve r*s - 11*s = -s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 15 and 6285.\nAnswer: 6285","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -87*p**5 - 90*p**3 - 41*p**2 - 11*p - 7 wrt p.\nAnswer: -5220*p**2 - 540","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = -11*q + 5. Let n(f) = f**3 - 6*f**2 - 7*f + 9. Let w be n(7). Let j(u) = -5*u + 2. Give w*j(i) - 4*h(i).\nAnswer: -i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.2105 + 0.19. Round z to three decimal places.\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -565*d = -12*d - 56*d + 19383 for d.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = 3*t**2 + 9*t + 8. Let p be o(-2). Sort -4, p, 0 in ascending order.\nAnswer: -4, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 182\/10 - (-56 - (55 + -100))*(-1 + 0).\nAnswer: 36\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.06 from 0.013118312.\nAnswer: 0.073118312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -8a897 - -3?\nAnswer: -8a894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) be the third derivative of -d**4\/24 + d**3\/2 + d**2 - 37. Determine l(-19).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = -z**3 + 6*z**2 - 4*z. Let k(s) = s**2 - s. Let q be 13 - 12 - 0\/2. Calculate q*l(p) - 4*k(p).\nAnswer: -p**3 + 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -33 - ((-9 - -8) + (-4 - 10)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 0.3, 88, 16, 2.91?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = 1293*o - 5. Let p(b) = 2584*b - 8. Calculate 5*a(r) - 3*p(r).\nAnswer: -1287*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -0.05 * 2965\nAnswer: -148.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -10*o + 5358*o**2 + 230*o - 51*o - 45*o - 44*o + 14 wrt o?\nAnswer: 10716","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/2 + 8\/26 + (-52)\/(128440\/20273)?\nAnswer: -37\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2507890 divided by 35?\nAnswer: -71654","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 41\/2 of a week?\nAnswer: 3444","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 336 and 448?\nAnswer: 1344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = m**2 + 7*m + 8. Let h be f(-6). Suppose a + 381 = -h*a. Let b = 0 - a. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/3, -27.9, -5, 17, -0.01, -2.\nAnswer: -27.9, -5, -2, -0.01, 1\/3, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 1307 a factor of 25385637?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 2, -5, 11 in ascending order.\nAnswer: -5, 2, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*j**2 - 395*j + 394060.\nAnswer: -5*(j - 244)*(j + 323)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 181842 + 6?\nAnswer: 181848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -506599.59 + 506561.5900036. Let l = -38 - d. Round l to six dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 16\/(-3)*(-32)\/(-32)*(-3)\/(-2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out -4.49 - 0.0581165758565.\nAnswer: -4.5481165758565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*z - 20 = 5*z. Suppose -5*h + z*r + 2710 = 0, 5*h + r = 1308 + 1390. Suppose -5*c + h = 5*o, 5*o - 3 = c - 99. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5826, 1, 35, -0.2 in descending order.\nAnswer: 5826, 35, 1, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -5*l**2 + l**3 + 3 + 6*l**3 - 2*l**3 + 2*l - 3*l**3. What is the remainder when n(3) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 77 minutes before 7:50 PM?\nAnswer: 6:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -3758 - -4482. What is the remainder when h is divided by 55?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand o**2 - 3*o**2 - o + 0*o + (5*o + 16*o - 4*o)*(-5 + 4 + 2)*(-o + o - o).\nAnswer: -19*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:10 AM and 5:19 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 14.3 - 13.3. Let x be (-31)\/15 + 3 + -1. Let i = -4\/15 - x. What is the second biggest value in -0.4, m, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*f + 3*x + 80, 3*x - 2*x + 89 = 5*f. Let c = 268 - 119. Calculate the remainder when c is divided by f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6652605*7.2.\nAnswer: 47898756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a - 39 + 93 = 4*k, 0 = 4*k - 4*a - 48. Solve 3*h + 7 = i, 0 = -4*i + 6*i - 5*h - k for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3 (base 6) to base 5.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o - z = -21, -o + 0*o = 2*z - 7. Suppose v - a - 5 = 5, v + 10 = o*a. Is 3 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*l - 40 = 4*x, 5*l + 889 = 5*x + 934 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1115*v - 25864 = -627*v for v.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 31261 is divided by 745.\nAnswer: 716","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 75.56753 hours to nanoseconds.\nAnswer: 272043108000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = i**2 + 28*i + 54. Let x be l(-27). Let a = 1621\/60 - x. Do a and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = -1469*y**2 + y - 1. Let f(o) = -2*o**2. What is r(f(j))?\nAnswer: -5876*j**4 - 2*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = 662*o**2. Let v(h) = 9178 - 4678 - h**2 - 4500. Calculate j(v(d)).\nAnswer: 662*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*s - 3*s + 2*s + (-337*s - 3*s + 14*s)*(-4 + 1 + 1).\nAnswer: 653*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -7.6580014245 - -7.658. Round h to seven decimal places.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 121110021112 (base 3) to base 5\nAnswer: 40331004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1678 or 3.17?\nAnswer: 3.17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 at least -7\/25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-y - 6*y + 6*y)*(-3 + 5*y**2 + 3) to the form h*y**2 + n + d*y**3 + j*y and give d.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3)\/(-38)*((-225)\/27 - -7)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 44*f**2 + 34*f**2 - 27*f**2 - 88*f**2 + 38*f**2.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) be the second derivative of -k**5\/190 - 17*k**4\/114 - 14*k**3\/19 - 66*k - 2. Solve x(o) = 0 for o.\nAnswer: -14, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1671 greater than or equal to 1669?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -2\/7, -4, -184, 979, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -4194 divided by -9\nAnswer: 466","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 61223 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 251 minutes before 2:20 PM?\nAnswer: 10:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 5\/(-5 + 0)*-47. Let s = u + -44. Let o(r) = -r. Let f(l) = 4*l + 2. Calculate s*o(z) + f(z).\nAnswer: z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20*i - 21*i + 4 = -s, 3*i - 2*s - 11 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -198 - 99. Let n = -336 - d. Which is smaller: n or -0.2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2, 1, -2, -7?\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -1\/2, -72, 0.4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 21 divide 511959?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many kilometers are there in 74.20775um?\nAnswer: 0.00000007420775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/3 in 5, 11, 2\/5, 1\/6, -0.31739?\nAnswer: -0.31739","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {b: 2, d: 10}. Give prob of sequence dbbd.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 14 - 14. Suppose -5*k + 3*b + 175 = 4*b, -b = t. List the prime factors of k.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 71\/5864 and 21\/2932.\nAnswer: 5864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = -4*x**2 - 4*x + 10. Let a be w(3). Let l = 28 - a. Let v = l - 41. Calculate the remainder when v is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -3\/58, -4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = -49*k + 482. Let s be w(-7). What is the greatest common factor of 935 and s?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-5)\/(-4))\/((-92)\/(37536\/(-765)))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = -2*a. Let b(p) = 59*p + 1481076. Determine b(d(o)).\nAnswer: -118*o + 1481076","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express -i - 9*i**4 - 1408*i**2 + 1408*i**2 + 7 in the form x*i + g*i**2 + o + b*i**4 + h*i**3 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 220 a factor of 93763740?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 - -2 - (2 + 7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 1649\/(-85)*1300\/260\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 175 divided by 1624\nAnswer: 25\/232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 7, v: 5}. Give prob of picking 1 r and 1 v.\nAnswer: 35\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-2)\/(-6)*150\/1. What is the highest common divisor of d and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 72 at most 73?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -1.53 from 2402.\nAnswer: 2403.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 1b09 (base 16) in base 7?\nAnswer: 26115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 26 is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 25745, 25727, 25683, 25601, 25469?\n\"Answer: -2*u**3 - u**2 - u + 25749","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = m**3 - 16*m**2 + m - 12. Suppose 4 = 3*a - 44. Is r(a) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d - 5 = -d - 2*l, -d + 8 = -l. Suppose -18 = -d*y + 12. Suppose -2*p = -0*p - y. What is the remainder when 13 is divided by p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1264 = -220*k + 1238 + 5758 + 3180 for k.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = n**2 + 5*n - 7593. Determine v(85).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -372*b*h + 488*b wrt h?\nAnswer: -372*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j = 4*g + 64, 6*j - 3*j = 5*g + 88. Suppose -5*k - 57 = -2*k. Let t = g - k. Is 2\/17 at least as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 19, -0.3, -2, 0.12, -0.4.\nAnswer: -2, -0.4, -0.3, 0.12, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 10 and 123912270?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k\/(k\/k**0))**(-45))**(-1\/6)\/(k**(-4)*k**(1\/7)*((k*k*k**0)\/k)\/(k*k**(-1\/3))) assuming k is positive.\nAnswer: k**(74\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -3 - (-3 + 2\/(-13)). Let k = 19 - 9. Let a = -7 + k. Sort b, a, -5\/2 in decreasing order.\nAnswer: a, b, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = 5*r + 65. Let s be l(-12). Suppose 66 = w - q, -s*w = -w + 4*q - 272. Calculate the remainder when 132 is divided by w.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 15842 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 2, k: 2, r: 5, w: 3, p: 1, d: 6}. Give prob of picking 1 w, 1 d, and 1 r.\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.67715239 rounded to three dps?\nAnswer: -1.677","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 6352 and 38?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 2 + 0 + 1 + 0 + 1 + 4 + 2 - 4 + (-1 - 2 + 1)*(-4 + 4 + 1) - 1 - 1 + 0 - 2 + 3 - 2)*(0 + 0 - u + (-u - 4 + 4)*(67 - 323 + 180)).\nAnswer: 150*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -10753, -10696, -10525, -10180, -9601, -8728?\n\"Answer: 10*g**3 - 3*g**2 - 4*g - 10756","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -5 - -11. Is (-2)\/3*(-315)\/g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 68565?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1\/2*(-13)\/((-117)\/9)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide -468 by 78.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4 + 10*z + 2 - 4*z + 3*z to p + a*z and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {x: 13, q: 6}. What is prob of sequence qqxx?\nAnswer: 65\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -14 - -14.3. Let t = -0.098 - 0.002. Put 42, j, t, -5 in ascending order.\nAnswer: -5, t, j, 42","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 46662?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 3241172807 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = p**3 - 8*p**2 - 7*p + 2. What is g(9)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 431 a factor of 39848967?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 1950967 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) be the second derivative of -1\/2*b**2 + 6*b - 1\/3*b**3 + 0. Let v be t(2). Let j(q) = -2*q - 2. What is j(v)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 3\/2*(-1 + 3). Find the second derivative of -2*g + 3*g**2 + g**v - 3*g**2 + g**3 wrt g.\nAnswer: 12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 22?  (a) 2\/9  (b) 13  (c) -1.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 21\/14 - (7 - (-28)\/(-5)). Which is the closest to -0.61?  (a) -0.5  (b) 0.4  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.3 times -0.005\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 93*(2 - 10\/6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1023221230 (base 4) in base 12?\nAnswer: 12b3a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*l - 98*p + 56 = -94*p, 1 = 3*l - p for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -2974 + 2975. Which is the third biggest value?  (a) 6  (b) n  (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q + 111 + 81 = 0. Let s = q - -70. Let h(a) = -a**2 + 5*a + 1. What is h(s)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -5, 0.1, -1.4, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 19 + -13. Let b(v) = -v**3 - 2*v**2 + 9*v - 6. Let a be b(q). What is a rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -38*r + 61*r - 37*r.\nAnswer: -14*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 5 - 3. Suppose 12 + 4 = 4*v. Solve 4*r = -v*m - 4, -6*m + f = -m - 2*r for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kkek when four letters picked without replacement from kkkkee.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-16 + -18)\/(1 - 0). Let l = -12 - f. List the prime factors of l.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 z and 1 k when three letters picked without replacement from kgkgkugzztgggtzkkkg?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 5526980027 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -165*a**3 - 269*a**3 - 152*a**3 + 17*a**2 - a**4 wrt a.\nAnswer: -24*a - 3516","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16 = -3*v + 4*l, -2*v + 5*l + 16 = l. Suppose 0 = -v*s - 2*s + 4. Calculate the remainder when (-13)\/(-3) + ((-24)\/(-9))\/4 is divided by s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1116084?\nAnswer: 2, 3, 17, 5471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (6\/10)\/(8\/80). Solve 5*l + 5 = -3*b, -j*l + 2*l - b + 3 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 28366606189 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) be the second derivative of i**5\/20 + i**4\/6 + 5*i**3\/6 + 3*i**2 - i. Let n(a) = -a**2 + a + 1. Let h(s) = -5*n(s) + r(s). Is 15 a factor of h(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 11*q**3 + 11*q**3 - 11*q**3 + (-2*q + 2*q + 4*q**2)*((q + 0*q + 0*q)*(2 - 3 - 1) - 2*q + 3*q - 3*q).\nAnswer: -5*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-9)\/(-45) + 21\/(-5). Let y be 65\/(o\/(2 - 6)). Suppose -y = s - 2*s. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) be the second derivative of -7051*h**6\/30 - 263*h**3\/2 + h**2\/2 - 1843*h - 2. Find the second derivative of v(q) wrt q.\nAnswer: -84612*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (60\/(-18))\/((-8)\/12). Solve 10 = -d*y - 5 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1081\/1429 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 1573061 * 4\nAnswer: 6292244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 70404118 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i + 27 = 5*u, -4*i - 4*u = -u + 15. Let c(t) = -t**3 + 3*t**2 - 4 + 17 - 2*t**2 + 9*t. Is c(i) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 365523 is divided by 43?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = 66*f + 1. Let r(o) = -476*o - 116. Determine r(j(i)).\nAnswer: -31416*i - 592","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or 75\/358?\nAnswer: 75\/358","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = -2173*f. Let c(a) = 51*a**2 - a. Determine t(c(j)).\nAnswer: -110823*j**2 + 2173*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = -8*p**2 - p. Let h be a(1). Let x(z) = z**3 + 9*z**2 - 5. Let r be x(h). Let u(i) = -i**3 + 9. Let w(q) = -4. Calculate r*w(c) - 2*u(c).\nAnswer: 2*c**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 s and 2 k when three letters picked without replacement from kksks?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express (-5 + 2 + 0)*(-20 + r + 24*r - r + 35) as n + k*r and give k.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 801.8862861 rounded to one dp?\nAnswer: 801.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/9, 3\/73, 0.1 in increasing order.\nAnswer: 3\/73, 0.1, 1\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-8 + 4716\/594)\/((-6)\/(-27)).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -4 divided by -101633915\nAnswer: 4\/101633915","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.221 - -3.221. Let d be -10*1\/((-4)\/(-2)). Let r be (6\/27)\/(2\/6). What is the closest to r in d, -3\/7, z?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -35 + 36. What is the closest to y in -5, 0, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = 48*x**2 - 4*x - 25. Is o(15) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = s**2 + 9*s + 12. Suppose -5*b - 3*i = -b + 47, 3*b + 4*i + 44 = 0. Let r be m(b). Let n = -15 - r. Round n to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 5, -4, 2, -0.11, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = 4*w - 17. Suppose 0*u - w*u = 0. Suppose 2*p = p + 3*k + 29, p + k - 21 = u. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 514 minutes before 11:39 PM?\nAnswer: 3:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.04 - 1.34. Let c = -875.1 - -875.9. Let k = c + g. Sort k, -2, 0.02 in decreasing order.\nAnswer: 0.02, k, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of ((-20)\/16 + 1)*26 and 19\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 618 minutes after 11:29 AM?\nAnswer: 9:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4\/298 + 71295144\/1033464.\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 1\/60 of a decade?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 20119165 and 219.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 2676*z**3 + 2*z**2 + 1217*z + 47050108 wrt z?\nAnswer: 8028*z**2 + 4*z + 1217","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = 2*u - 3*u. What is the third derivative of -4 - 48*q**u + 133*q**5 - 135*q**5 + q**2 + 5 wrt q?\nAnswer: -120*q**2 - 1152*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -8\/75 and 106\/1365?\nAnswer: 6825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -35 = h - 8*h. Let j(k) be the first derivative of 3\/2*k**2 + h + 2\/3*k**3 + 0*k. Give j(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) be the second derivative of -1\/12*w**4 - 4*w - 2*w**2 - 3\/2*w**3 + 0. What is the tens digit of g(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 397.3 - 389.3. Which is the second biggest value?  (a) r  (b) -208  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4020\/1072*14\/45*1*24?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 55 - (13 + (23 - 28)).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide 15 by -1056804.\nAnswer: -5\/352268","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(156)\/sqrt(3) - sqrt(52))*4)\/(-1*sqrt(576)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -2, -5, 121\/7?\nAnswer: 121\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2 - 7. Let x = -1.2 + 1.3. Which is the closest to 0?  (a) -3  (b) o  (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = 23*h + 7. Let p(m) = 35*m + 11. Determine 8*f(v) - 5*p(v).\nAnswer: 9*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 161196778?\nAnswer: 2, 80598389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*i + 11*i**2 + 12*i**2 - 2*i**2 + 14*i.\nAnswer: 21*i**2 + 18*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -14, -29, -44?\n\"Answer: -15*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 32 = -6*g + 2*g. Let t(h) = 3*h + 39. Let v(i) = -1. Let f(w) = t(w) + 12*v(w). Let s be f(g). Solve s*k = -3*p, 4*p + k = 4*k for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.46 or -240\/13?\nAnswer: -240\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = -x**2 - 24*x - 117. Let h be o(-7). What is the third derivative of 2 + h*u**5 + 3*u**5 - 20 - 2*u**2 - 4*u**5 + 21*u**3 wrt u?\nAnswer: 60*u**2 + 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -1091, -1095, -1101, -1109?\n\"Answer: -v**2 - v - 1089","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 197883 is divided by 65784.\nAnswer: 531","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -516.8 - -4653.8. Let m = 4136.799968 - b. Let r = m - -0.2. What is r rounded to 5 decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 10972961?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1911293 is divided by 575?\nAnswer: 568","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = -25*f**2. Let l(c) = c**2 + 173*c. What is l(h(g))?\nAnswer: 625*g**4 - 4325*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h - z = 111, -5*h + 5*z + 0*z = -150. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(20)\/((sqrt(10)*-1)\/sqrt(5)))\/(5*(sqrt(10) + sqrt(30)\/sqrt(3) - sqrt(10))\/sqrt(2)) + 5)**2*-5.\nAnswer: -627\/5 + 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = 5*y**2 - 26*y + 2. Let x be t(5). Let v be 4\/12*9 + (-4 - x). Solve 12 = -2*d + 2*z, -v*d + 6*d = -3*z + 4 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-144)\/(-270)*-5)\/(3\/18*-1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 73.1 + -73. Let j = -8818\/21 + 420. Sort j, k, 1 in descending order.\nAnswer: 1, k, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 210, 183, 156, 129?\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6 - (-4 + 0 - (4 + -5)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-1)\/(-3) - 74\/6. Let o be b + (-2 - -2) + -2. Let s(j) = 2*j. Let t(y) = 5*y + 25. Let m(w) = -1. Let v(x) = 50*m(x) + 2*t(x). Give o*s(i) + 3*v(i).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 104 - 34*g - 3*g**2 + 2*g**2 - 106 + (9*g + 0*g + 5*g)*(-3 - g + 3) to b*g**2 + i + r*g and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3.1743 in -3, 12\/5, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = -108428*q. Let i(y) = 623*y**2. What is i(m(h))?\nAnswer: 7324381227632*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 173773335 divided by -141\nAnswer: -1232435","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -63*w + 63*w - 10*w**3.\nAnswer: -10*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -267*l - 125 = -272*l. Is l a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.02 + -3239206605390\nAnswer: -3239206605390.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = -11*q**2 - 13*q + 26*q**2 - 14*q**2 + 11. Let z be w(13). Suppose 44 = 3*d + z. What is the lowest common multiple of d and 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 440 (base 5) to base 14.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = -2 - 3 + h - 1 + 5. List the prime factors of w(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ll when two letters picked without replacement from {l: 10, w: 4}?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-17)\/((-374)\/(-44))*6\/(-4). Let t(r) = -r**3 + r + 3. Let f be t(0). Factor 3*q**2 + g*q**3 + 0*q**f + q - 3 - 4*q.\nAnswer: 3*(q - 1)*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (12\/(-8))\/((-2)\/(-76)). Let t = m + 83. Suppose t*c + 422 = 28*c. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = -5*q**2 + 17*q + 13 + 5*q**2 + 4*q**2 - 5*q**2. Suppose 4*d = u - 9, -87 = -5*u - 0*u - d. What is the tens digit of a(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 10*w - 3*w**5 + 2*w**5 + 0*w**5 - w**5 wrt w.\nAnswer: -40*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 138624 a multiple of 192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round -141328.7 to the nearest ten thousand.\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = -2 - 5*j - 5*j + 35*j + 2*j + 8*j. Let k(a) = 69*a - 5. Calculate 2*k(y) - 5*s(y).\nAnswer: -37*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) be the second derivative of -v**3\/3 + 2*v**2 - 2*v. Let r be ((-88)\/11 + 7)*2. Let y(t) = -t + 3. What is r*p(g) + 3*y(g)?\nAnswer: g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 491254785?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = 24*g**2 + g. Let d be k(-1). Let p be -6 + 3 - 12\/(-3). Let q = d - p. What is the least common multiple of q and 12?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16 = 3*z - 2*h, -z - 4*h + 3 + 1 = 0. Let n be (-26)\/(-36) + z\/8. Which is the closest to -0.1?  (a) n  (b) 4  (c) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 8 + (-15 - (-10 + 4))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k - 179 = -3*d, 0*k - d - 200 = 5*k. Let g = k - -43. Let y be (-1)\/(-4) - (0 - -1). Sort -3, y, g.\nAnswer: -3, y, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -61 = -i + 5*s - 2, i + 4*s = 50. Let b be (i\/75)\/(8\/30). Let d = 14\/5 - b. What is the biggest value in d, 0.2, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -94708 - 458048?\nAnswer: -552756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -18389a (base 11) to base 6\nAnswer: -10023201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -41\/8082 and -57\/292748.\nAnswer: 2634732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) be the third derivative of f**7\/840 - f**6\/240 + f**4\/6 - 4*f**2. Let u(b) be the second derivative of z(b). Factor u(r).\nAnswer: 3*r*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 904, 1398, 1488, 1174, 456, -666, -2192?\n\"Answer: -202*p**2 + 1100*p + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) be the third derivative of -f**6\/30 + 193*f**5\/5 - 37249*f**4\/2 + 14378114*f**3\/3 + 1689*f**2 - 2. Factor t(a).\nAnswer: -4*(a - 193)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 160590936 is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9169 is divided by 329.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 2\/151  (b) 4\/7  (c) 98  (d) -4  (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1487\/15 or 98?\nAnswer: 1487\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-2*(-5)\/80)\/((-1)\/6). Let r be (-2)\/15 + (2 - 2). What is the closest to -2 in a, -5, r?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 73.7791 rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 37 divide 19462?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let -6*o**4 - 129*o**3 + 372*o**2 + 279*o - 216 = 0. What is o?\nAnswer: -24, -1, 1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w + 42 = 5*t + 5, -2*w + 3*t - 7 = 0. Suppose -w*z + 2 = -14. Solve -z*i = i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) be the third derivative of t**8\/8400 + t**7\/350 + 15*t**4\/4 - 109*t**2. Let n(u) be the second derivative of b(u). Suppose n(f) = 0. What is f?\nAnswer: -9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*a - 5*y + 1 + 2, 5*y - 6 = 3*a. Solve a*u + 2*u = 25 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:35 PM and 3:47 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*k**2 - 2*k**2 + 10*k**2)*(-5*k + 6*k + 0*k) + (4*k - 43*k - k)*(1 - 2*k**2 - 1).\nAnswer: 91*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {d: 8, j: 5, y: 7}. What is prob of sequence ddy?\nAnswer: 49\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -35 + 146. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 73*l + 193 + 664 + 19 for l.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1\/(-2)*2 + 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -5 by -85.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(-1\/6)\/w*w**(-1\/12))\/(w\/w**2)**(-1\/9)*(w**(2\/3)\/(w*w*w*(w*w**(5\/2)*w)\/w*w))**50 assuming w is positive.\nAnswer: w**(-12349\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -5729\/3 + 1910. Sort -1\/5, 44, 4, q in increasing order.\nAnswer: -1\/5, q, 4, 44","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = -2*a + 2. Let m = 24 - 22. Let i(x) = -2*x + 1 + 0*x - x + m. Let y(d) = d**2 + 7*d + 5. Let c be y(-3). Give c*p(k) + 5*i(k).\nAnswer: -k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 475\/134 - 3\/67. Let s(a) be the second derivative of -1\/2*a**3 - 2*a - l*a**2 + 0. What is s(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2518a2 (base 11) to base 12\nAnswer: -1721b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:27 PM and 11:06 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = 2*w**3 - 3*w**2 + 4*w - 3. List the prime factors of u(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = -o**2 + 4*o - 3. Let i be b(3). Let m(d) = 3*d - 6. Let g be m(7). Suppose 9*z = 4*z + s - g, 2*z = -2*s - 6. Sort z, -1, i in increasing order.\nAnswer: z, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 44 minutes before 10:15 AM?\nAnswer: 9:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-12)\/((-1)\/((-42)\/(-9))). Let q = c - 51. Suppose i + q - 96 = -o, -5*i + 425 = -o. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -37*s + 839 = 765 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {a: 3, p: 2, t: 2, d: 6, o: 3}. Give prob of picking 3 d and 1 t.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -629 - -650. Let v be (3 + -1)\/(14\/r). Solve -5*a - v = -2*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*x**4\/5 - 18604*x**3\/5 + 453678*x**2\/5 - 238644*x = 0. Calculate x.\nAnswer: -9470\/7, 0, 3, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 28 + (4 + 4 + -4 + 12 - (-57 + 64))\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 25741.89 times 5?\nAnswer: 128709.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(-42)\/z*z**(-11\/3))\/((z**(2\/71)*z)\/z**2) assuming z is positive.\nAnswer: z**(-9733\/213)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*l + 2*l - 12*l)*((6 - 6 - 3*l**2)*(0*l**2 + 2*l**2 + 0*l**2) + l**4 - l**4 + l**4).\nAnswer: 70*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hhfo when four letters picked without replacement from horxxfh.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Determine w so that 4\/11*w - 2\/11*w**5 + 16\/11 + 10\/11*w**4 - 2\/11*w**3 - 26\/11*w**2 = 0.\nAnswer: -1, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -p + 13*z - 11*z - 12 = 0, 19*z = 3*p + 161*z - 704 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = 11*a + 31. Let b be d(-17). Let i = 163 + b. Solve -12 = 5*n - i for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -865280 rounded to the nearest 10000?\nAnswer: -870000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 242863 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -221023 (base 4) in base 12?\nAnswer: -1637","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((m\/m**(-1))**(-1)\/((m*m\/m**(-5\/3))\/(m*(m\/m**(3\/11))\/m)))**(-1\/6))**(-25) assuming m is positive.\nAnswer: m**(-4075\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 3326 - 3322. Let h = 523\/6 - 87. Factor 0*g**2 - h*g**k + 0 + 0*g - 1\/6*g**3.\nAnswer: -g**3*(g + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = -3*i + 2. Let m(q) = 4*q - 3. Let x(j) = 4*m(j) + 5*p(j). Let c be x(4). What is the units digit of -2 + 5 - (2 - c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 57 a factor of 868916301?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 k and 2 x when three letters picked without replacement from {x: 2, k: 10}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -85\/3312 and -37\/180.\nAnswer: 16560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -480 (base 9) to base 12\nAnswer: -290","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.8012726914 rounded to 3 dps?\nAnswer: -0.801","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -l**2 - 4*l - 3. Let f be n(-4). Let k(t) = 28*t - 6. Let c be k(f). Let p = -44 - c. Is p a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -27894 and -167.\nAnswer: 4658298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-10899)\/7266)\/((-2)\/(-96))?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 90 and 99?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of d**4*v**2 + 225*d**4*v + 2*d**3 + 159*d**2*v - 28*v**2 wrt d.\nAnswer: 24*d*v**2 + 5400*d*v + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gb when two letters picked without replacement from {b: 2, g: 7, w: 3}.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 9.715524 millennia in decades?\nAnswer: 971.5524","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = -11*y - 4*y + 2 + 12*y - 3*y**2 - 1. What is t(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1295922 is divided by 107993.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v = -2*v + 20. Solve -v*h = h - 5 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 53\/41049 and -125\/328392.\nAnswer: 328392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 28\/17, -0.6, 2.5?\nAnswer: 2.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*m + 0*m + 4*m)*(0*m + 2*m + 0*m) + (127*m + 58*m - 68*m)*(2*m + 2*m - 3*m).\nAnswer: 119*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 380 - 381. Let s be i\/(-16)*8 + (-18)\/4. Sort 0, 4, s, 1 in ascending order.\nAnswer: s, 0, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 71 greater than or equal to -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c = -4 - 12. What is the third derivative of 2*g**2 - 3*g**2 - 9*g**2 + 9*g**c + 0*g**2 wrt g?\nAnswer: 216*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 121\/(11858\/(-21)) - 2697\/(-42).\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 45577 is divided by 2848?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.16 + 0.014?\nAnswer: -0.146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -44 + 11 - -7 - -8?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) be the third derivative of -7*k**4\/24 + k**3\/2 + 8*k**2. What is the tens digit of u(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6 + 3180293*g - 1060098*g - 1060096*g - 4 - 1060101*g - 2.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 545 + -305. Let p be (i\/9)\/((-10)\/(-6) - 2). Is 6 a factor of 2\/7 - p\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -16990, -16987, -16984, -16981, -16978?\nAnswer: -16975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 34704 (base 8) in base 13?\nAnswer: 6967","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -28 + 43 + 2 + 0 + -4\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 50492\/1872 - 32 - 4\/18\nAnswer: -21\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-3)\/(-3)*(-15)\/(-5). Let v = u - -9. Solve 3*b - v = 3 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 921 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 1823163 to the power of 1\/2, to the nearest integer?\nAnswer: 1350","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express (5 + 2*m - 5)*(9*m + 2 + 5 - 6) as z + q*m + k*m**2 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find h such that -568*h**3 - 838388*h**2 - 32655440*h - 1148800 = 0.\nAnswer: -1436, -40, -5\/142","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Total of 2239757024 and 5164.\nAnswer: 2239762188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -79\/20 and 47\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = -n + 2. Calculate the least common multiple of 10 and p(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 56 + -51. Suppose l = -3*t + 2*l - 8, 16 = -b*t - l. Calculate the lowest common multiple of 10 and (-2)\/(4\/15)*2\/t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = 2*u - 6. Let d be x(4). Let t be (-2 + 4)*3\/d. Suppose -q = -4*a - 3*q + 88, a - 8 = t*q. Is 6 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 387, 775, 1161, 1545?\n\"Answer: -z**2 + 391*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = -o**2 + 31*o - 84. Let n be x(3). Factor -y - 1\/4*y**3 + y**2 + n.\nAnswer: -y*(y - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.45, 0.5, 1\/219, -1\/3?\nAnswer: 1\/219","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 + 3 + (98 - 86).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = -a**3 - 7*a**2 - 3*a - 4. Let m be -2 + 4 + 2 - 11. Is f(m) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 55 and 11865?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1\/(-10) - 0)\/((-18)\/(-36)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -4, 8, -8218?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 7\/(-3) - -6*(-9)\/(-18). Which is the second smallest value?  (a) m  (b) 0.4  (c) -82\/5  (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w**(-6)*w**(-2\/3)*(w\/(w\/(w*(((w\/(w*w**(-9)))\/w)\/w)\/w*w)))\/w**(2\/3) assuming w is positive.\nAnswer: w**(2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1341*r**5 + r**3 + 16*r**2 - 2818*r - 1939 wrt r?\nAnswer: -26820*r**3 + 6*r + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 2, z: 5, v: 2}. What is prob of sequence oo?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 1 - 1 - 4 + 3 - 1 + (4 + 3 - 5)*(1 - 1 - 1))*(-853*t - 852*t + 1605*t).\nAnswer: 300*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1034335 (base 6) to base 2.\nAnswer: -1100100101010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 41 - 37. Let f = 165 + -166. Sort -3, 5, h, f in increasing order.\nAnswer: -3, f, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 60, 2, -2?\nAnswer: 60","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1246872.\nAnswer: 2, 3, 11, 4723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 50\/543147 and 37\/3171.\nAnswer: 3802029","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is (-175888 + 1*(0 + -3))*-1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2987 and 412.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 135\/21 + 15\/(-35). Suppose -1391 = -t*h + 5*h. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -q - 4*j + 6, -14 = -4*q - 4*j - 26 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:58 AM and 9:15 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*d - 11 = -191. Let c be 12\/150*d\/(-2). Let -c - 3\/5*l**2 - 6\/5*l = 0. Calculate l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1026254159 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 372.190707 minutes to weeks.\nAnswer: 0.03692368125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -17\/103740 and 73\/48165?\nAnswer: 1348620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 37499 or 37500?\nAnswer: 37500","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) be the second derivative of a**4\/12 + 2*a**3 + 3*a**2\/2 - 6*a. Let j be o(-12). Solve -5*q + 7 = g - 3, j*g + 9 = -2*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 45 - 121. Let s = f + 88. What is the highest common factor of s and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = -8076*d**3 + 1166*d**2 + 17*d - 18. Let q(u) = -2019*u**3 + 291*u**2 + 4*u - 4. Let h(i) = -9*q(i) + 2*z(i). Find the third derivative of h(v) wrt v.\nAnswer: 12114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -165 - -33. Let b = x + 131.947. Round b to two dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor d**3\/6 - 176*d**2 + 61952*d - 21807104\/3.\nAnswer: (d - 352)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 0.165 and -5?\nAnswer: 5.165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -107\/60 and 151\/390.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 3*d**4 + 9*d**2 + 9*d**4 - 3*d**2 wrt d?\nAnswer: 288*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) be the second derivative of z**5\/20 + z**4\/12 + 7*z**3\/6 - z**2\/2 - 4*z - 11. Let u be l(3). What is the highest common divisor of 728 and u?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 98183 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1066, 4283, 9652, 17173?\nAnswer: 26846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*(sqrt(425) + -2) - (-4 + -1*sqrt(68)))**2.\nAnswer: -128*sqrt(17) + 1152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (2635\/210)\/31 + (-3)\/6. Which is the closest to k?  (a) 3\/5  (b) 21  (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-2)\/((-9 - -8)*-3) - (-51)\/9. Solve 2*m - 7 = m + 4*i, -4*m = n*i + 14 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -5\/4?  (a) 8.3  (b) -5  (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 11664 divided by 2916.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2075, -2068, -2057, -2042, -2023?\nAnswer: -2000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*j + 330 = 5*p - 3*j, -5*p = -3*j - 290. What are the prime factors of p?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (4\/(-6)*1)\/(1\/(-3)). Let z(v) = -3*v**l + 4*v**2 + 8*v**2 + 0*v**2. Let d(r) = 2*r. Determine z(d(n)).\nAnswer: 36*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.240771 rounded to 2 dps?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h + 3*n + 24 = 0, -4 = -2*h - 2*h - 2*n. Suppose 0 = h*d - 1337 + 332. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 960 a factor of 35989203?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 2  (b) 0.2  (c) 38  (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1188152 and 445557?\nAnswer: 3564456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = 15*x**3 + 44*x**2 - 5*x + 5. Let t(p) = 30*p**3 + 87*p**2 - 9*p + 9. Let s(l) = -9*i(l) + 5*t(l). Find the third derivative of s(r) wrt r.\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 5507130400 to the nearest integer?\nAnswer: 74210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 4196.98 rounded to the nearest 10?\nAnswer: 4200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 4\/9  (b) 285  (c) -3  (d) -2\/7  (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 14994493 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = -2*o - 2. Let u(i) = 1. Let n(a) = h(a) + 2*u(a). Let j(l) = l**2 + 4*l + 4. Let r(k) = 5*k + 5. Let g(b) = 5*j(b) - 4*r(b). Give g(n(y)).\nAnswer: 20*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z\/z**(5\/7))**36\/(z\/((z*z**(-3\/2))\/z)*z*z**(-10)\/z) assuming z is positive.\nAnswer: z**(249\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*i - 3*i + 5*i)*(40*i + 49*i - 15*i + 2).\nAnswer: -74*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express -35*p**2 + 119*p**2 - 38*p**2 + p - 34*p**2 - 15 as h*p + o + z*p**2 and give z.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 11\/3554830 and -17\/355483.\nAnswer: 3554830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 11 + (4 - (4 + -3 + 8))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 44\/13  (b) -4  (c) 0.2  (d) -58  (e) -298\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1436*t - 1437*t + 4*y = 0, 0 = -3*t - 4*y + 16 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((0 + sqrt(1100))*5 - sqrt(1100)*2*4)**2 + 4*(2*sqrt(275) + -1 + sqrt(1331)).\nAnswer: 84*sqrt(11) + 9896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of j**5*m - 5951253*j**4*m**3 - 2*j*m**3 + 3*j*m**2 + 16726*m**3 - m**2 wrt j.\nAnswer: 20*j**3*m - 71415036*j**2*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 158 or 941\/6?\nAnswer: 941\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -348?  (a) -0.13119  (b) 0.4  (c) -4  (d) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -388 divided by -133213\nAnswer: 388\/133213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 6, e: 1, q: 6, z: 5}. What is prob of sequence eq?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 9\/10 of a kilogram in grams?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = -2*j**3 + 40*j**2 + 23*j - 6. What is h(20)?\nAnswer: 454","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (4 + -8)*(-2)\/4. Suppose -p*j + 2*d + 4 = 0, 4*j = 4*d + d + 8. Find c, given that -j*c + 3*c**3 + 6*c - 7*c = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 5608 - 5411.3. Round t to the nearest ten.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 1 + -2 - 2 - 123. Let z be ((-1)\/3)\/(3\/f). What is the highest common factor of z and 154?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 3022525 to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 2  (b) 12\/89  (c) -5  (d) -2\/3  (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 12750 less than -3.24?\nAnswer: -12753.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 33603, 67205, 100807, 134409?\n\"Answer: 33602*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5830 - 902488*w**2 + 5830 - 61817*w**2.\nAnswer: -964305*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 176541 divided by -709\nAnswer: -249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*s = 6*s + 5. Suppose 3*k - 3*x + 12 = 0, 0 = k + k - x + s. Let o(q) = q**2 + q. Let u(z) = z**2. Give k*o(r) + 3*u(r).\nAnswer: 2*r**2 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 4564 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c = -r + 5, -2*r + 7 = 5*c - 6*r. Suppose 125 = 4*y + 3*p, -2*p + 44 = y + c*p. Is y a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = 30*x + 1. Let w(j) = -181*j - 5. Let i(q) = 34*c(q) + 6*w(q). What is the tens digit of i(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-8*t**2 + 11*t**2 - 7*t**2)*(-5*t - 1 + 2*t + 5*t).\nAnswer: -8*t**3 + 4*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 295 - 104. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -18094 by 6.\nAnswer: -9047\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = -2*o + 5. Let c(y) = 311*y**2. Determine g(c(m)).\nAnswer: -622*m**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 y when four letters picked without replacement from {e: 14, y: 4}.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is (279*1)\/(60\/240) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from xdeeeex. Give prob of picking 4 e.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -27652364 + -1077?\nAnswer: -27653441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 15\/(675\/(-828))*(-180)\/(-72).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 17729 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1300607\/6 + 1093707\/5. Let m = u - 11666\/15. Let f = -57625\/48 + m. Find the common denominator of -17\/20 and f.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*q = -2*r + 32, -1554*q + 1556*q - 2 = -r for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: (2 + -1)\/(-9 + 4)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22 = -9*v + 5. Sort v, -3, -2, 5 in ascending order.\nAnswer: -3, -2, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 2391395 - -1?\nAnswer: 2391396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) be the first derivative of 11*r**3\/3 - 5*r + 4410. Let g(a) = a**2 - 1. Determine 6*g(l) - v(l).\nAnswer: -5*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 32.72735 rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = 141984*c**2 - 3480*c + 1740. Let v(f) = -82*f**2 + 2*f - 1. Let n(q) = m(q) + 1740*v(q). Let k(w) = 5*w. Calculate n(k(b)).\nAnswer: -17400*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -225, -444, -663, -882, -1101, -1320?\n\"Answer: -219*y - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ghhhg. What is prob of sequence gh?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00450724921 to 3 dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 344 divided by 5?\nAnswer: 344\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 451 a factor of 6774020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 88*j**2*t*v + 6*j**2*t + 699*j*t*v - t*v - 58*t + 42*v + 54 wrt j.\nAnswer: 176*j*t*v + 12*j*t + 699*t*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + 0 + sqrt(3) + 2 + 3*(sqrt(108) - (sqrt(108) + -1*sqrt(108)) - sqrt(108)).\nAnswer: -2 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*g + 14 = 5*d, -2*g + 10 = 5*d - 7*g for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-7)\/140*12*5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 28\/11, 5, -3 in descending order.\nAnswer: 5, 28\/11, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -2 + ba7?\nAnswer: ba5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 12359 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 2976, 5949, 8922?\n\"Answer: 2973*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (3 + 2)\/5 + -7. Let p be (6\/(-9))\/2*x. Solve p*g - 2 = -g + 4*r, 2*g + 2*r + 8 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1255230 by -46490.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = r**2 + 9*r - 12. Let u(j) = -4*j**2 - 28*j + 35. Let i(o) = -7*k(o) - 2*u(o). Calculate the remainder when i(10) is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) be the second derivative of 2\/21*b**7 + 0*b**2 + 2*b + 0*b**3 + 0*b**4 - 1\/5*b**5 + 16 + 0*b**6. Find g such that a(g) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14437 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 3\/50  (b) -4  (c) -3  (d) 1\/16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = -8342*u**2. Let t(y) = 103*y**2. What is -6*k(l) - 485*t(l)?\nAnswer: 97*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -25015, -24342, -23665, -22984, -22299, -21610, -20917?\nAnswer: -20220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q + u = -3*q, 0 = -4*q - 4*u. Suppose q*d = 5*d - 100. Calculate the smallest common multiple of 18 and d.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-1 + (-24)\/(-9))\/(75\/270). Find the second derivative of u*h**2 + 177 + 12*h**4 - 178 - 6*h**2 + 3*h**3 - 88*h wrt h.\nAnswer: 144*h**2 + 18*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (8 - (-136)\/(-8)) + 136\/16. Let l be (-87)\/(-178) + 4\/(-8). Which is the fourth smallest value?  (a) 5  (b) s  (c) 0  (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.145049 rounded to 3 dps?\nAnswer: -0.145","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:57 AM and 6:04 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 4351 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(54)\/sqrt(2) + (-4 + -2 + sqrt(3))**2.\nAnswer: -9*sqrt(3) + 39","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = -y - 1. Let j be ((-122)\/y)\/((-2)\/(-15)). Calculate the common denominator of -25\/22 and (3\/(-15))\/((-22)\/j).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hdhh. Give prob of picking 2 h.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5 - (23\/(-7) + (-2)\/1).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1 - -5. Let s = 8 + -8. Solve -5*h = -s*h + d*q, -5*h = -4*q - 40 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 16278503.\nAnswer: 17, 23, 31, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 127772 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = t + 2*t + 12, 18 = 3*o - 3*t. Suppose -o*z + 4*i + 11 - 1 = 0, -4*i = 16. Let j be -7498 - (-3)\/(z\/2). What is j rounded to the nearest 1000?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -26*x = -2993 + 2967 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -20010 - -21002?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 288 + -143. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-3)\/6 - (-1)\/2. Let a(o) be the third derivative of 0*o + 1\/6*o**3 + 1\/12*o**4 + q + 2*o**2. What is a(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 21637718 to the power of 1\/2, to the nearest integer?\nAnswer: 4652","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 11582363?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 11876\/(-18) - (-4)\/(-18). Let p = g + 1135. Is ((-3)\/(-5))\/(5\/p) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-24*h**3 + 72*h**5 - 53*h**3 + 77*h**3)*(-2 - 3 + 3).\nAnswer: -144*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 24 and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*b**3 - 213536*b**2\/5 + 170812*b\/5 + 42704\/5 = 0. What is b?\nAnswer: -1\/5, 1, 10676","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 41069882?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 374490, 374352, 374214?\nAnswer: 374076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -326672 (base 8) to base 10.\nAnswer: -110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -31, 10, 5, -10 in decreasing order.\nAnswer: 10, 5, -10, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) be the first derivative of -2*n**3 + 3057. Let l = -4 - -8. Let d(o) = -l*o + 3*o + 3*o. Calculate d(w(i)).\nAnswer: -12*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 2\/21, -0.5, 0.1, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t = -2 - 4. Let n be (-1)\/(-2)*28\/t. Suppose 7 = 3*s - 5*u, u = -4*s - 3*u + 20. Solve s = 5*o + 3*m, -n = 2*m - 3 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -24024 (base 13) in base 16?\nAnswer: -10194","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**15\/w)**(2\/61)\/(w*w**(-12)*w*w\/(w**(-5)*w)) assuming w is positive.\nAnswer: w**(333\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.2 in 0, -1.8, -0.14, -32, -0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 570862 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -4 + -173356?\nAnswer: -173362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-8)\/84*(-3)\/(-2)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 72*r - 33*r - 37*r = -2*a - 14, 0 = 4*a + 5*r + 34 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2)\/(-18))\/1*(-13)\/13.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (-1 - 2) + 50 - (475 - 495)\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23 = 5*r + 3. Sort 1, -2, r in ascending order.\nAnswer: -2, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) be the first derivative of 3*b**2 + 38. Let j(m) = 28*m**2. What is o(j(c))?\nAnswer: 168*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 48*c = 3259 + 2117. What is the highest common divisor of 392 and c?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -25 - -24.98. Let y = j + 0.06. What is the second biggest value in -4, 0.2, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 + 2 + 5 - 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand s**3 + 3 - 3 + s**2 - s**2 - 2*s**3 - 4*s**3 + 3*s**3 + 0*s**3 + (0 + 0 + s)*(-s**2 + 3*s - 3*s) - s**3 + 0*s**3 + 2*s**3.\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -0.0277 and 0.3?\nAnswer: 0.3277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = 2*d + 33. Let r be m(-15). Suppose -8*s + 3*s - 4*g = 0, -r*g = 4*s. Solve s = -5*y - 10 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = -34*t + 1. Calculate y(-1).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 + 0 + 1 - (1 + 5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 32 + -26 - (-1)\/(-1). Suppose -6 = -f + t*h, -2*f - 3*h = -8*h - 7. Let i(b) = 10*b - 3. What is the units digit of i(f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 58 - 20?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = 13*n + 1. Suppose -a - 1 + 4 = 0. What is the least common multiple of d(1) and 43\/a + (-2)\/6?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 638a2 (base 12) in base 10?\nAnswer: 130874","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 18?  (a) 0.5  (b) 3.07  (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -7510870 rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 1 + -19 + 1 + 1 - -3 - 0\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 205 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -2*g**3 - g**2 + 8*g + 9. Let v be w(0). Solve 3*u = -5*s + 22, v*s - 4*s - 24 = -u for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 693, 1389, 2087, 2787?\nAnswer: 3489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -45145 (base 7) to base 4\nAnswer: -2302021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 2.8 - 3. Let b = -582 + 1748\/3. What is the closest to b in 2\/3, y, 2\/5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 42774311 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = -3*v**2. Let j(m) = 47317*m + 2. Determine j(g(b)).\nAnswer: -141951*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -9880 - -21082. Let g = 11201.9995073 - y. What is g rounded to five dps?\nAnswer: -0.00049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = 6*a. Let g(s) = s**2 + s - 1. Let p(o) be the third derivative of -o**5\/12 - o**4\/6 + 2*o**3\/3 - 7*o**2. Let f(k) = 4*g(k) + p(k). Give x(f(z)).\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Divide 27 by -4497.\nAnswer: -9\/1499","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = -3661*h. Let i(y) = -y**2 - 414. Give m(i(x)).\nAnswer: 3661*x**2 + 1515654","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((r**0)**15\/(r**1\/r*r)**50)**(-24))**6 assuming r is positive.\nAnswer: r**7200","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -44*q**2 - 25*q**2 - 249*q**2 - 26*q**2 - 33*q**2 to the form n*q**2 + b*q + i and give n.\nAnswer: -377","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 35399806 to the power of 1\/5, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*u = -99 + 105 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -0.3181 times 12\nAnswer: -3.8172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k - 2 = 0, 0 = 3*a - 3*k + 10 + 8. Is 22 a factor of 32\/(-40)*910\/a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*k - t = -4524 + 4508, -4*k = 3*t + 28 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -852, -858, -868, -882?\n\"Answer: -2*o**2 - 850","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 508.0204 rounded to the nearest integer?\nAnswer: 508","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = 3*a**3 + 3*a**2 - 2*a + 2. Let d be i(-2). Let o(q) = -6*q - 17. Let k be o(d). Calculate the greatest common factor of 95 and k.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = -m**3 + m**2 + 206*m - 796. What is u(4)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 29*s - 179 = g - 232, 12*s - g = -19 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 3491\/1440 + 2\/45. Calculate the common denominator of -49\/64 and d.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 60 + -58. Calculate the least common multiple of h and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) be the second derivative of c**4\/12 - 3*c**3\/2 - 7*c**2\/2 - c. Let q be s(10). Suppose 30 = q*f - 0. Round f to the nearest integer.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x*x*x**(19\/5))\/x**(-9\/7))\/(x*x**(7\/2)*(((x*x*x\/(x\/x**(5\/13))*x)\/x)\/x)\/x) assuming x is positive.\nAnswer: x**(2003\/910)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 58, -1, 109 in ascending order.\nAnswer: -5, -1, 58, 109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 129338099 to the nearest integer?\nAnswer: 506","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -32 + 36. Let g = 3 + -4. Sort g, -2\/13, w in descending order.\nAnswer: w, -2\/13, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 58 + -104. Let k = p - -48. Suppose k*h + 1948 = -3*a + 6252, h - 5*a = 2139. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 1*1\/(-7)*-2. Let l be 1*(-5)\/((-50)\/4). What is the nearest to f in l, -1\/2, -5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*x + 455 = 38*x + 61*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6328 = 7*n - 1372. Does 10 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = 6*j**2 + 1 - 9*j - 18*j + 10*j. Is o(-12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -7 + 6 + -2 + 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 517128820 to the nearest integer?\nAnswer: 22740","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vz when two letters picked without replacement from jvtjvvvjvttvzv?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -2.4, 58, -5, 51?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2362*d - 2338*d - 28512. Calculate the greatest common divisor of d and 1458.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 111 = l - 0*l + 21*m, -7310 = -3*m - 7295 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 1866, 720, -1188, -3858, -7290?\n\"Answer: -381*y**2 - 3*y + 2250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.3 in 11\/47, -0.4, 4?\nAnswer: 11\/47","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l = 2*l + 6, 5*v - 3*l - 56 = 0. Let d(i) = -41*i - 2. Let w be d(-2). Calculate the greatest common divisor of w and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -6480 divided by 1296\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 860929*r**6 + 73807*r**2 wrt r?\nAnswer: 103311480*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by 380113.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -h**3 + 3*h**2 - 6*h + 3. Let y be r(5). Let v = -53 - y. Let q be 96\/15 - 4\/10. Calculate the greatest common divisor of v and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 20 - 48 - -6 - -3 - 20?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 6 + -4 - -1 - 11. Let j be -3*5\/(-6) - n\/(-16). Determine y so that -12*y**3 + 8*y**3 - 16*y**3 + 25*y**j - 10*y + 5*y**4 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 97909430 to the nearest one hundred thousand.\nAnswer: 97900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = j**2 - 15*j - 30. Let t be l(17). Suppose -t*f - 50 = f - 5*b, 0 = -4*f - b - 20. Let h(k) = 6*k + 6. Let p(g) = -7*g - 7. What is f*h(c) - 5*p(c)?\nAnswer: -c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Divide 7 by 1065886.\nAnswer: 7\/1065886","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = 4*u + 10. Let y be l(-4). Let c = y - -6. Suppose c = b + 3*b - 120. What is the smallest common multiple of 27 and b?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -10123 (base 7) to base 6\nAnswer: -15231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q + 3*g - 13 = 0, -q + 0*q - 5*g = -7. Calculate the remainder when 16 is divided by 88\/16 + 1\/q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-16)\/280)\/(3*(-1)\/(-15))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 53\/(7155\/(-297))*((-70)\/(-3))\/((-34)\/(-51)).\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 2*((-40)\/(-4))\/2. Suppose 5*m = 20, o + 4*m - 36 = -4*o. Solve o*l + q = -l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -65\/291 and 70\/27.\nAnswer: 2619","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 1, r: 6, c: 7, z: 2, u: 3}. Give prob of picking 2 c.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*a = -4*c - 17*a - 76, 3*c - 4*a = -50. Let b be ((-117)\/c + -7)*(-12)\/(-2). Let r(u) = -10*u. Let g(x) = 11*x. Give b*r(f) - 2*g(f).\nAnswer: 8*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = 4*h + 150. Let u be f(-32). Let x(d) = -3*d + 66. Let s be x(u). Put 3\/5, s, 5 in decreasing order.\nAnswer: 5, 3\/5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 331501 = -151*t + 354604 for t.\nAnswer: 153","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*j + 7*j + 4*j - 3*j.\nAnswer: 8*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -44462 in -1, -3, 1, 13?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 434 - 434. Let s = 1\/51 + -6\/17. Let z = -4.7 - -0.7. Which is the nearest to d?  (a) z  (b) 0.3  (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13 - 46657*z**2 + 7 + 2 + z - 13.\nAnswer: -46657*z**2 + z + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 2*m**2*u*x - 7*m**2*u - 15*m**2*x**2 + 6*m**2 + 2*m*u*x**2 - 2*u wrt x.\nAnswer: 2*m**2*u - 30*m**2*x + 4*m*u*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 209*j**2 - 2671 with respect to j.\nAnswer: 418*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 19295 + -19043. What is the highest common factor of 333 and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -1b0cc + -4?\nAnswer: -1b0d0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (1\/(-6))\/((-1)\/87)*60\/15. Which is the third smallest value?  (a) -2  (b) 1\/5  (c) t  (d) 2\/9  (e) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 45 - 89\/2. Factor 1\/2*k**2 + 0 - w*k.\nAnswer: k*(k - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -15.38 in -2\/11, -5, 4, -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Are -11 and 215 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) be the second derivative of -x**8\/60 - 7*x**4\/6 + 7*x**3\/3 - 14*x. Let a(g) be the second derivative of o(g). What is the derivative of a(t) wrt t?\nAnswer: -112*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o + 15 = 5. Solve 5*f + 0*f - o = 2*m, 5*f - 10 = -4*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 697697 * -3\nAnswer: -2093091","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-483)\/(115\/(-5)))\/12.\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.04165 rounded to 2 decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 58762301 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2537 + -1817. Calculate the smallest common multiple of 48 and j.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -5, -3\/5, 0.2, -132, -5\/2?\nAnswer: -132","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = 16*y**3 + 11*y**2 + 11*y + 27. Let h be (-32)\/12*3 + 4. Let w(d) = -9*d**3 - 5*d**2 - 6*d - 14. Let j(i) = h*u(i) - 7*w(i). What is j(-9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-u + 2*u + 0*u)*(354*u - 735 + 735).\nAnswer: 354*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(-1*(sqrt(51) - sqrt(102)\/sqrt(2))*-4)\/((sqrt(330)\/(sqrt(30)\/sqrt(3)))\/sqrt(11)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*s + s - 5*s)*(1 - 4 + 2)*(3 - 5 + 1)*(2*s - 3*s + 0*s + (s - 2*s + 0*s)*(51 + 95 - 104)).\nAnswer: -86*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + sqrt(136)\/sqrt(128) - (2*(sqrt(102)\/sqrt(6))**2 + 1))*-5.\nAnswer: -5*sqrt(17)\/4 + 190","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) -0.8  (b) -0.2  (c) 0.4  (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -43 and 7921?\nAnswer: 7964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22 = -4*d - 14. Suppose d*r - 4 = -0. Put 15, r, -5 in increasing order.\nAnswer: -5, r, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 445 minutes after 2:34 PM?\nAnswer: 9:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -1285.716562 rounded to one dp?\nAnswer: -1285.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -73 - 99. Let v = n + 172.093. Let k = v + -0.093057. What is k rounded to 5 dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = 6*o - 2. Let z(a) = 2*a + 4. Let l be z(2). Let t be p(l). Round t to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 2\/412933 and -19\/158.\nAnswer: 825866","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1947 = -20*f + 2293. What are the prime factors of f?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1314*b - 58471 = 97*b - 3706 for b.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 2801 to the power of 1\/2, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 30 a factor of 763197?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -20 + 15. Let r(o) = 2*o + 2. What is r(i)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = 2*o**2 - 2*o - 2. Let l be p(-2). Suppose 4*k = 3*r + 12, 3*k = 3*r + l - 1. Let j be (1 - 2) + (-4 - k). Which is smaller: j or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 4\/((-4)\/(-3)) - 13. Let v be (-40)\/(-100) - 16\/l. What is o in -2\/5*o**3 - 2\/5*o**v + 0 + 0*o = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 88 - 24. Is 20 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 94\/5  (b) 47.2  (c) 99.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) be the third derivative of 0*r + 26*r**2 - 2\/3*r**4 + 0 - 19\/3*r**3. List the prime factors of v(-13).\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*m**2 - 84*m**2 + 12*m**2 - 53*m**2)*(3*m**2 - 3*m**2 - 3*m**3).\nAnswer: 360*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x + 13 = -27. Calculate the lowest common multiple of x and 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 312 and 382200.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 3092148\/468 - 4\/26 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 204101, 204102, 204103, 204104, 204105, 204106?\n\"Answer: m + 204100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 388 is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -225 times -0.81?\nAnswer: 182.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = 2. Let s(w) = w + 1. Let f(t) = -i(t) + 2*s(t). Let x(k) = 7*k. Calculate x(f(z)).\nAnswer: 14*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -480 - -0.85.\nAnswer: -479.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(sqrt(44) + 0))**2.\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -94, 3\/13, -4\/17?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 88\/819 and -179\/17160?\nAnswer: 360360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -21 - ((-16)\/(-120))\/((-4)\/610)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (3\/2)\/(3\/6). Suppose 6 = -2*j + 5*c - 15, 4*c = x*j + 14. Let v be (3\/(-9))\/((-1)\/3). Solve -n = -j*m - v, 5*m + 0*n = -4*n - 22 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = 4*c**2. Let p(o) = 175373691*o**2. Determine q(p(x)).\nAnswer: 123023725979853924*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 1528178 to the power of 1\/7, 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 12 in 3, -1, -1\/5, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -0.29 and -7396705?\nAnswer: 7396704.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -3 + 3. Suppose -3*u = -b*u. Factor u + 2\/5*l**5 + 2\/5*l**2 - 2\/5*l**4 - 2\/5*l**3 + 0*l.\nAnswer: 2*l**2*(l - 1)**2*(l + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 0\/4 + 4\/(-1). Calculate the remainder when 63 is divided by (u - 1) + 3 + 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 d and 1 n when three letters picked without replacement from {n: 1, d: 18}?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15*x - 20 = -11*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 n and 1 g when two letters picked without replacement from ngs.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) be the first derivative of -3*n**7\/7 - 85*n**4\/4 - 281*n**3\/3 - 48. Find the third derivative of i(u) wrt u.\nAnswer: -360*u**3 - 510","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0 or 3\/417109?\nAnswer: 3\/417109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7211730?\nAnswer: 2, 3, 5, 421, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 112733 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (8*v - v - 36*v)*(28 + 187 + 45) to the form d + s*v and give s.\nAnswer: -7540","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 = 5*u + 22. Let s(b) = b**3 + b**2 + b + 1. Let d be s(u). Let l = d - -22. Solve l*n + n = 12 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = 3*y**2 + 8*y + 38. Let v(a) = -a**2 - 4*a - 19. Let h(x) = -2*g(x) - 5*v(x). Let j be h(8). Let u = 17 + j. Solve 0 + 12 = u*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = 33 - 5 + 0*x**2 - 28 + x**2. Let r(k) = -7*k**2 + 8*k + 5. Let h(v) = -r(v) - 6*w(v). Determine h(7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*a - 3*a = -0*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -301 - 1.\nAnswer: -302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) be the second derivative of -x**6\/360 + x**5\/24 + 5*x**4\/24 - 13*x**3\/2 - 13*x - 2. Let i(b) be the second derivative of d(b). Give i(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -76?  (a) 4\/5  (b) -58\/9  (c) 0.2  (d) -0.4  (e) -5  (f) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 50769+-3.1\nAnswer: 50765.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put -21050, 4, -0.4 in ascending order.\nAnswer: -21050, -0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 27*h - 31*h - 48. Let v = h - -14. Suppose -v*i = -11 + 9. Solve 19 + i = -4*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -65a56 (base 15) in base 8?\nAnswer: -1166614","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = k - 2. Suppose 0 = x - 6. Suppose 0 = -x*y + 3*y + 9. What is the units digit of o(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 6655.8 and 0.3?\nAnswer: 1996.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 2439841 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -n - n - 10. Let t = n - -3. Let l = -829\/5 - -165. Which is smaller: t or l?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*c**2 + 0*c**2 + c**4)*(-2*c + 13*c - 359 + 369).\nAnswer: 11*c**5 + 10*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = 2*g + 7. Let z be 48\/12 + 0\/(-1). Let a(t) = t + 6. Calculate z*v(u) - 5*a(u).\nAnswer: 3*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence id when two letters picked without replacement from jiejjdjej?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 74153996 = -s + 4*r, -128*r + 296615997 = -4*s - 125*r. Round s to the nearest 1000000.\nAnswer: -74000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 36850 divided by 5\nAnswer: 7370","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -219499\/16 + 13724. What is the common denominator of 89\/2 and o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n = -1389 + 1386. Let x(q) = 4*q + 8. Let m be x(n). Solve 5*a + i - 3 = 5*i, -3*i + m = a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*h = 67458*s - 67461*s + 24, 3*s = -3*h + 18 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 132106670?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: (-254)\/(-69) + 140*149\/(-6258)\nAnswer: 8\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify u**(5\/9)*u\/(u\/u**(10\/9))*u**21*u**(2\/3)\/u assuming u is positive.\nAnswer: u**(67\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = 400*p**2 - 7*p - 11. Let w be g(-2). Let c be (10\/(-6) + 2)\/((-7)\/w). Is c bigger than -75?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 694790, 694792, 694804, 694832, 694882, 694960?\n\"Answer: j**3 - j**2 - 2*j + 694792","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vx when two letters picked without replacement from {v: 1, x: 7, y: 6}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -4999548 times -20.8\nAnswer: 103990598.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/3 in -1\/5, 0, 3910, -0.0178, -1\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 17014 or 17003?\nAnswer: 17003","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 3743*o**3*u - 60658*o**3 + o*u + 11*u - 2 wrt u.\nAnswer: 3743*o**3 + o + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uuu when three letters picked without replacement from mummtmmuutmumumm?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = x**2 - 9*x + 22. Suppose 16*p - 12*p = 24. Let z be u(p). What is the third derivative of 124*k**4 - z - 100*k**4 + 4 + 48*k**2 wrt k?\nAnswer: 576*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3681395 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3392466 = -28*k - 72*k + 23*k. What is the hundreds digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 268792286 by -9.\nAnswer: -268792286\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = -j**2 - 14*j + 3. Let b(m) = m**3 - 24*m**2 - 10. Let x be b(24). List the prime factors of c(x).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 93713 to the nearest integer?\nAnswer: 306","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -5, -3, -9, -29, -69, -135, -233?\nAnswer: -369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w - w = 35. Let b be 0 + 0 - (5 + w). Factor 2*g**b - 2 + 0*g**2 - g**4 - 3 + 4.\nAnswer: -(g - 1)**2*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*a + 44 = a. Solve -2*w + 0 = -a for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -9 - -14. Solve 2*w + 4 = b*u - 0, 0 = 4*w - 3*u - 6 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-1 - 1) + 1 + 3. Suppose -g*i - 2*v + 50 = 0, 4*i + 4*v = v + 97. Calculate the remainder when i is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 4\/15 of a millennium?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 19301, 19020, 18327, 17042, 14985, 11976, 7835, 2382?\nAnswer: -4563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24*v - 9*v - 330 = 0. Suppose 5*t + 37 = v. Sort -1, t, -4.\nAnswer: -4, t, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -3055486, 0.1 in descending order.\nAnswer: 0.1, -2, -3055486","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 558 + -537. Let o be 80\/30*9\/k. Factor -o + 12\/7*n - 8\/7*n**3 + 12\/7*n**2.\nAnswer: -4*(n - 2)*(n + 1)*(2*n - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3114441 to the power of 1\/2, to the nearest integer?\nAnswer: 1765","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(170)*-2*5)\/((sqrt(50) - (sqrt(800) - sqrt(50)))\/sqrt(5)).\nAnswer: 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + -5*(-1 + (sqrt(1331) - -1*sqrt(1331))) + -3)**2.\nAnswer: -1320*sqrt(11) + 133136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n + 13 + 2 = 0. Suppose 0 = -w + 48 - 44. Sort -1, w, n.\nAnswer: -1, n, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1839 - 1840.931. Let l = o - -2. Round l to 2 dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*f + 59 = 7*u, -51*f - 4*u - 297 = 8*f - 52 + 241 - 34 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 112 - -3?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -200, -3578, -13306, -32558, -64508, -112330, -179198, -268286?\nAnswer: -382768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p + 0 - 4 = 0. Let n = 6 + p. Let x be ((-2)\/1)\/(n\/(-3)). What is the greatest common factor of x and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((0 - -9) + 52 + -51 - 1) + 10.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) be the first derivative of -5*j**2\/2 - j + 5. Suppose -2*o + 4*p = 2*o - 8, 4*o - 3*p = 5. Give q(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30 = -l + 3*l. Let x = -13 - l. Suppose 3*b = y - x, 3*b = 4*y + 1 - 18. Solve -5*j + 30 = -s, 0*s + 5*j = -y*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1\/(18\/9*(-6)\/36)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1492 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/7?  (a) 103\/10  (b) -1  (c) 0.1  (d) 2  (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 154367 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 945273.\nAnswer: 3, 7, 45013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -3080 + 3079.7. What is the closest to -41 in v, 0.1, 4, 3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = p**2 - p + 13. Let q(s) = s**2 - s - 2. Let x(u) = -i(u) - 5*q(u). Let k(m) = -5*m**2 + 5*m - 3. What is -5*k(z) + 4*x(z)?\nAnswer: z**2 - z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -167263, -167277, -167291?\nAnswer: -167305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -9 - -9.4. Sort -3, k, 2 in increasing order.\nAnswer: -3, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1533379?\nAnswer: 1533379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y + x + 6 = 2, 4*x = 5*y + 9. Let f(s) = -2*s**3 - 2*s**2 - 2*s - 3. Let v(l) = -l**3 - l - 1. Calculate y*f(q) + 3*v(q).\nAnswer: -q**3 + 2*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*h + 466*o - 468*o = -16, -3*h - 4*o + 29 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in twenty-one fifths of a gram?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 76\/((-4)\/8 + (-225)\/(-50))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -29*v**3 + 49*v**3 - 22*v**3.\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*p**2 + 47457*p - 52278006.\nAnswer: 3*(p - 1034)*(p + 16853)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-312)\/(-364))\/((-115)\/(-161)).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 129593\/26334 + 40\/1197. Let s = -39150147\/70 - -559460. Let r = 1241\/7 - s. Find the common denominator of r and p.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 121 by -219.\nAnswer: -121\/219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = 6*s**3 - 170*s**2 - 2903*s + 6. Calculate m(-12).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 1 + 1)*(-d + 2 - 2 + (-6 + 6 - 3*d)*(-3 + 10 + 11)*(5 + 1 - 5))*(-3 + 2 + 0).\nAnswer: 55*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find q such that -2*q**5 + 150*q**4 - 2438*q**3 - 5334*q**2 - 2744*q = 0.\nAnswer: -1, 0, 28, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0.229 + -0.029. Put c, -3\/5, -2\/5 in descending order.\nAnswer: c, -2\/5, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -3862.818 to the nearest 10.\nAnswer: -3860","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = -m + 6. Let w = -8 + 14. Let y be r(w). Suppose y*t - 1425 = -3*t + 3*q, 2*t = q + 945. Round t to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 8\/51*32\/((-3328)\/(-78))\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = -31*a - 4. Let m be d(-1). Suppose m - 7 = -5*k, -2*h + 90 = -k. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = k**2 - 10*k - 28. Let d = 57 - 43. Let j be s(d). What is the highest common divisor of j and 140?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.053 - 0.053. Let t = 39.57 - 39. Let j = -0.27 + t. Sort o, -2\/3, j, 7\/2.\nAnswer: -2\/3, o, j, 7\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2794 + -2823. Put 1, -3, w, -1 in decreasing order.\nAnswer: 1, -1, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (l**2 - 3*l**2 - l**2)*(0*l**2 + 0*l**2 + 2*l**2) + (-3 - 15 + 1)*(-4*l**4 + 4*l**4 + 3*l**4) in the form r*l**3 + x*l + q*l**2 + c + s*l**4 and give s.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -10 - -143110143?\nAnswer: 143110133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 1\/12*((-389 - 7)\/(-18) - 12). Which is smaller: -1597 or b?\nAnswer: -1597","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1430 - 1425. What is the closest to -0.1 in 124, 1\/5, r?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*f + 61*f + 25*f. Solve f = -8*d + 50 - 18 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:33 AM and 8:30 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1 + 0 - (585\/180 - 5))\/(9\/600).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -514 or -517?\nAnswer: -514","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = 2*m**2 - 8*m - 56. Let r be f(-5). Let a(x) = -x**3 + 8*x**2 - 6*x + 7. Let i be a(7). Solve -5*h + i - r = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p + 2*p + s + 23 = 0, -2*s - 7 = -p. Let y = -2518 - -3448. Suppose -14*r = -p*r - y. What is r rounded to the nearest 100?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 202.93 + -195. Let k = p + 0.77. What is k rounded to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -183*n**2 + 228*n + 410*n**2 - 225*n**2 + 226.\nAnswer: 2*(n + 1)*(n + 113)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = -g**2. Let u = -28 - -17. Let z(p) = 2*p**2. Let q(r) = u*l(r) - 6*z(r). Let d(o) = 2*o. What is q(d(n))?\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.1  (b) 2\/5  (c) 5  (d) 45  (e) -686\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/16 of a millimeter in nanometers?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 118277614?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 87\/15 + (-2)\/(-10). Let i = a + -3. Calculate the remainder when 6 + 12\/9*3 is divided by i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 a and 2 x when three letters picked without replacement from {j: 1, a: 5, x: 3, e: 2, l: 1}.\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 288*y + 178?\nAnswer: 288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: (8\/12)\/(46\/(-6))\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*y + y + 39 = 5*m, 5*m - 4*y = 36. Let i = 13 - m. What is the second derivative of 4*u**5 - 2*u**i + 5*u + 3*u**5 wrt u?\nAnswer: 100*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:53 AM and 6:00 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*w - 4*z + 150, -w + 91 = -5*z + 3*z. Calculate the remainder when w is divided by 31.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -8 - 0*3\/(-6). Let w = 15 + r. What are the prime factors of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -1 - -2425?\nAnswer: 2424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -163736, -163966, -164188, -164402, -164608, -164806, -164996?\nAnswer: -165178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -67\/21 and 19\/1615962.\nAnswer: 11311734","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n = -4*h + 14, 0*h - 2*h + 8 = -2*n. Let i be (-15)\/h - 1\/2. Let v = i + 8. Let p(w) = -w**2 + 5*w + 4. Calculate p(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 22, 19, 16?\n\"Answer: -3*x + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -169*w**2 + 16*w**2 - 177*w**2.\nAnswer: -330*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from {h: 3, d: 5, f: 5}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 6218644?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -639*l + 48566. Give n(76).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = 2. Let x(t) = -8*t + 1. Determine -4*r(y) + x(y).\nAnswer: -8*y - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.487907 centuries in millennia?\nAnswer: 0.0487907","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 588 + -478. Suppose -z + 0*p - 4 = -2*p, -z - 5*p + 10 = 0. Suppose z = 4*s - 112. Calculate the remainder when x is divided by s.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1769 and 368793.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = -5*z**2 + 32*z - 159. Let r(a) = 2*a**2 - 13*a + 53. Give 4*d(v) + 11*r(v).\nAnswer: 2*v**2 - 15*v - 53","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = 11*f - 12. Let p(a) = -17*a + 18. Let z(c) = -3*b(c) - 2*p(c). Let v(q) = 1496*q**2. Calculate v(z(x)).\nAnswer: 1496*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = -33*v**2 - 5*v - 6. Let n(u) = -49*u**2 - 7*u - 9. Let f(r) = 5*n(r) - 7*o(r). Let s(h) = h**2. Give f(s(c)).\nAnswer: -14*c**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 8 + 1)*(466*d + 877*d + 976*d - 276*d + 921*d).\nAnswer: -17784*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*y + 429 + 323 = 0. What is the lowest common multiple of y and 9?\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -22708.0000016901 + 22708. What is x rounded to seven decimal places?\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1002 (base 4) to base 9\nAnswer: -73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 951, 953, 955, 957, 959, 961?\nAnswer: 963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = r. Suppose 0 = -106*q + 111*q - 5. Let x(u) = -2 - 2*u - 3 + 3. Let d(k) = k**2 + 3*k. Let s be d(-4). Calculate q*x(o) + s*w(o).\nAnswer: 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -10 - -12. Let p be 5*(2*-1 - -1). Is 4 a factor of x\/p + (-22)\/(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 95\/33046 and 61\/27962.\nAnswer: 363506","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = 10 - 8*f - 2 + 6*f**2 - 1 + f**3. Let h be x(-7). Let j(l) = -48*l + 2. Let p be j(-2). What is the greatest common factor of p and h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2149 or 2079?\nAnswer: 2079","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -104*q - 4 - 4*q + 4.\nAnswer: -108*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + (1*(sqrt(700) - (sqrt(700) + (sqrt(700) - sqrt(700)*-3))) + 4*(sqrt(700) + -2))*4 + 1)**2.\nAnswer: 676","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = -j**3 + 6*j**2 - 5*j + 7. Let d be i(5). Suppose -6*p = -d*p + 8. Suppose 11*z - p*z - 2073 = 0. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = -57*n. Let k(a) = -85*a**2 - 27*a + 9. Calculate k(u(h)).\nAnswer: -276165*h**2 + 1539*h + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = 3*o, 13 - 97 = -3*i + 3*o. Solve -4*h - i = -42 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.3 - 0.1. Let w = -0.226 + -109.774. Let g = w - -110.4. What is the closest to -1 in l, -2, g?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c = 20 - 19. Let m be c\/(9\/3) - (-29)\/33. Let u = -1 + 1.1. What is the third smallest value in m, -6, 4, u?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.024 - -0.0145.\nAnswer: -0.0095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8199278 is divided by 305.\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = -438*h + 3721. What is w(8)?\nAnswer: 217","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + (0 + sqrt(1331))*4)**2.\nAnswer: -176*sqrt(11) + 21300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of -1 + 5443 - (-1740)\/(-145)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 49\/4 and (-1)\/28 + (-1 - 3)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify a\/a**(-33)*a**(-2\/3)*(a**(2\/25))**7 assuming a is positive.\nAnswer: a**(2542\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 m and 1 d when two letters picked without replacement from {d: 1, m: 1, k: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 6?  (a) -5  (b) -0.2  (c) -1  (d) -467\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = w**3 - 6*w**2 + w - 4. Let r be c(6). Let d be 3 - (4 - (r + -1)). Suppose 0 = -d*n - n + 22. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k\/(k*(k\/k**7)\/k))\/(k\/(k**(8\/7)*k)) assuming k is positive.\nAnswer: k**(57\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 61691 divided by -189\nAnswer: -8813\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 1280*p**2*s**3 - 582*s**3 + 3*s with respect to p.\nAnswer: 2560*p*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -609 in -4, 4, 153?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 66?  (a) 3\/10  (b) 837  (c) 0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(2299)*2 - sqrt(2299))*-1*-2)**2*3.\nAnswer: 27588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 4690750 to the nearest integer?\nAnswer: 2166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f*f\/f**(-1\/5)*f)\/(f*f*f**31*f))\/(f**(-13)\/(f*(f**(-32)*f)\/f)) assuming f is positive.\nAnswer: f**(-244\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = -2*y**2 - 988*y. Let p(x) = -61151*x. Calculate t(p(n)).\nAnswer: -7478889602*n**2 + 60417188*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 0.5, 1, 236, -0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2)\/6 - 70\/(-72)*-12?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -740736627.091 - 72?\nAnswer: -740736699.091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: (-7)\/(-168)*-8*48\/(-40)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*l - 10*l = -68. Is 20 at most as big as l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-200)\/(-80))\/(4\/(-8))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from nuz. Give prob of sequence zu.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-21)\/6 - (-3)\/(-6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 671, 679, 693, 713, 739, 771, 809?\n\"Answer: 3*c**2 - c + 669","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is (-15)\/5 - (5 - 594234) - (-7)\/1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = p. Let q be v(1). Let j be ((-3)\/2)\/(5 - (-21545)\/(-4310)). Does 12 divide 1 + (j\/(-12) - q\/(-4))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (3 + 1 - 3)*(1 + z**3 - 1) - 2*z**3 + z**3 - z**3 + 6*z**3 - 30*z**3 - 10*z**2 + 10*z**3 - 2*z in the form q*z**3 + k + i*z + a*z**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 24166977349 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = -n + 16. Let a be b(12). What is the second derivative of -7*k**a + 5*k + 0*k + 6*k**4 + 11*k**4 wrt k?\nAnswer: 120*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 4401 and 152108829.\nAnswer: 1467","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 36414?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -81 - 5. Let l = n - -218. Suppose 0 = -w + 4*w - l. List the prime factors of w.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -2\/12937 - -25896\/142307. Put 1.7, -2, n, 3 in descending order.\nAnswer: 3, 1.7, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 49 - (1 - -8 - (53 + -53)).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -14  (b) -2\/9  (c) -6  (d) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 10150535387 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 733*m - 744*m - 1197*m - 907*m - 181*m.\nAnswer: -2296*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 45448113?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: (300\/750)\/((-1)\/(-40))\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ngggggggggggngggggg. Give prob of picking 3 g.\nAnswer: 40\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 3*p**2*v**2 - 863609*p**2 - 14*p*v**2 - 7232*p*v - 2*v wrt p?\nAnswer: 6*v**2 - 1727218","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 o and 1 y when two letters picked without replacement from ypykkyo.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in three fifths of a millimeter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 23101103212 (base 4) to base 2.\nAnswer: 1011010001010011100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) be the second derivative of -7*d**3\/6 + 4*d. Let p be v(-5). Let g be p + 9\/(-3) + 0. What is the greatest common divisor of 64 and g?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3?  (a) 3.6  (b) 0  (c) 0.3  (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is (-14)\/((1\/(-2))\/((-30)\/(-4) - 8))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 4173680 and 653660.\nAnswer: 4060","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1678117858 to the power of 1\/2, to the nearest integer?\nAnswer: 40965","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -5254 + 5096. Is p > -787\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) be the third derivative of z**5\/60 - z**4\/8 + z**3\/6 + 7*z**2 + 11. Calculate n(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 62\/237 and -62\/1185?\nAnswer: 1185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = -h**3 - 9*h**2 - 6*h + 11. Let g be z(-8). Let d(j) = -11*j + 45*j + 34 - 18*j - 3*j - 19*j. Calculate the remainder when d(g) is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(sqrt(19) + -1) + 1 + sqrt(38)\/sqrt(2).\nAnswer: 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 4885.631 millennia?\nAnswer: 488563.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = -u**3 + 2*u**2 + 5*u - 4. Let j be s(3). Let k = 20 - 16. Suppose a - i - i + 2 = 0, -42 = -k*a - j*i. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -10 + -36 + (-14 - -4) + -7.\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -196630486 greater than -196630487?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 439 minutes before 11:18 PM?\nAnswer: 3:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*i**5 - 991*i**4 - 82989*i**3 - 189913*i**2 - 134808*i - 26896 = 0.\nAnswer: -164, -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*(-1 + (sqrt(684) - (-3 + sqrt(684))) + 5))**2.\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve v**2 - 528*v - 7033 = 0.\nAnswer: -13, 541","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 14 + 3 - ((-1)\/(-1))\/(-1). Suppose -60*q + 61*q = -16. Let k = u + q. Solve 0*l = -k*l - 8 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 89281703 by -19.\nAnswer: -4699037","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fxf when three letters picked without replacement from xffxfxxcxxffcx.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 3 and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -888, -3554, -7998, -14220, -22220, -31998?\n\"Answer: -889*h**2 + h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = -l + 4. Let y be g(2). What is the first derivative of -49 - 52*t - 4*t**4 + 52*t - y*t**3 + 3*t**3 wrt t?\nAnswer: -16*t**3 + 3*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the product of -172097 and 133?\nAnswer: -22888901","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) be the third derivative of n**5\/40 + 19*n**4\/24 - 23*n**3\/6 - 24*n**2. Let i(m) be the first derivative of v(m). Let p(o) = -o**2. Calculate p(i(f)).\nAnswer: -9*f**2 - 114*f - 361","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/3, 2\/3, 248.3, 5, -3 in descending order.\nAnswer: 248.3, 5, 2\/3, -2\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p - 2*y + 6 = -0, -p + 15 = -4*y. Suppose d - 3 + 8 = -p*r, 4*d - 10 = -2*r. Which is the third smallest value?  (a) -0.5  (b) r  (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*x**2 + 4*x**2 + 7*x**3 + (4*x**2 - 29*x**2 + 7*x**2 + 507 + 17*x**2)*(-3*x - 2*x + 3*x) to the form n*x**3 + f + k*x**2 + v*x and give n.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 5913901 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -134, 2\/11, -2\/15, -0.7?\nAnswer: -134","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = -130*c**3 + c**2 + c. Let x be n(-1). Let g be (-8 - x\/(-15))\/(8\/6). Factor -r**2 + 1\/4*r**3 - g + 5\/4*r.\nAnswer: (r - 2)*(r - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = -3836*d - 46020. Calculate x(-12).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-3)\/10 + 6\/12. Let t = 231\/5 - 46. Determine l so that -h*l**2 + 2\/5 + t*l = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 61281 and 154.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n + 9388 = -1757. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = o**2 + 2*o - 4. Let x be t(-3). Let v = 8 - x. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 36153.4 + -36153. Sort a, 0, 10.3.\nAnswer: 0, a, 10.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 12715?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1157 = 275*b - 768 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) be the second derivative of -x**6\/30 + 5*x**4\/6 + 103*x**3\/3 - 3*x**2 - x - 2301. Differentiate m(o) wrt o.\nAnswer: -4*o**3 + 20*o + 206","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(5 + (4*(sqrt(288) + 3*sqrt(288) - sqrt(288)) - sqrt(288)) + -4*(sqrt(288) - -3*sqrt(288))*2)**2*-2.\nAnswer: -508132 + 10080*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 151\/1782 and -53\/238760136.\nAnswer: 2626361496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2 - 12*g - 8*g**3 - 3*g**2 + 41*g + 22*g wrt g.\nAnswer: -48*g - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-144)\/80 + 2 - (-3)\/35?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-2)\/4*(-3 - -3). Suppose -w - 3*h - 7 = v, -2*w + w + 8 = -2*h. What is the highest common factor of 2 and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = -c + 1. Suppose -11*b + 99 = -8*b. Suppose -2*a + 25 = b. Calculate d(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.09921 + 429.00079. Let v = -429 + h. Is v less than or equal to 302?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from eeeeeeveeeee. What is prob of picking 1 e and 2 v?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 67852 is divided by 249?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.0475 rounded to 1 decimal place?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 25 and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -53469 = -12*p - 53457 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 32051500?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 75*p**2 + 35*p**2 + 78*p**2.\nAnswer: 188*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 880 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (51 - 27 + 43*i**2 - 22)*(-6*i**3 + 7*i**2 - 7*i**2).\nAnswer: -258*i**5 - 12*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert -201 (base 7) to base 8.\nAnswer: -143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m = -5*t + 1531, 0 = -3*t - 32 + 17. Let b = 1104 - m. What are the prime factors of b?\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d - 10 = d + n, 0 = -5*d - 4*n + 45. Suppose -4*v + 5*b = -9*v + 280, b = d*v - 274. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1446317?\nAnswer: 29, 53, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 1, k: 1, h: 2}. What is prob of sequence rh?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*y = 8*m + 219, -6*y + 3*m + 7504 = 7261 for y.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*p - 4*p + 0*p + (0 + 1 - 3)*(4 - 4 - 4)*(43*p + 66*p + 91*p) to q*p + y and give q.\nAnswer: 1599","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 2.7, 0.3, -1, 2\/7, -5, 13?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2\/9*v**3 + 2*v + 0 + 4\/3*v**2 = 0. What is v?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = f**2 + 22*f - 69. Let y be z(-30). Are y and 2069\/12 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -2 - -6. Suppose -h - 3*m = -6*h + 136, 0 = 5*h + q*m - 122. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -22 - (-58 - -30) - (-19)\/(-3). Which is the fourth biggest value?  (a) m  (b) -1\/2  (c) 1\/69  (d) -8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = d + 89. Let s(g) = 44. Let u(a) = -4*m(a) + 7*s(a). Let b be u(-13). Solve 3*p + 16 = -j, 0 = -5*p + p + 3*j - b for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine m, given that 16*m**5\/15 - 4438*m**4\/15 + 34496*m**3\/15 - 3638*m**2\/15 - 12068*m = 0.\nAnswer: -2, 0, 3, 7, 2155\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence px when two letters picked without replacement from oixzipz?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 340035?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = -t**2 - 6*t + 4. Let k(q) = 5*q + 49. Let m be k(-11). Let f(h) = 2*h - 3*h + 3 - 4 + 2. Determine m*f(z) + n(z).\nAnswer: -z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/41?  (a) -0.4  (b) 0.4  (c) 4  (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = 2*r + 18. Let y be h(-8). Suppose -3*u + 82 = n - u, -y*n + 192 = -3*u. Does 29 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-2)\/(-6) + 1)\/(36\/324). Suppose -h*v + 2*v + 120 = 0. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3429612 to the nearest integer?\nAnswer: 1852","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = -2*k**2 + 160*k + 1102. Let q be t(86). Let f(y) = y**2 - 10*y - 5. Let o be f(10). Sort o, -1, q in ascending order.\nAnswer: o, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 640 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 49 + -26. Calculate the highest common divisor of d and 115.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -24 - 2?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 13650010?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round -13187000 to the nearest one million.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = 2*f**2 - 3*f - 4. Let w(t) = -5*t**2 + 9*t + 11. Let d(r) = 8*l(r) + 3*w(r). Let z be d(-3). Are 5\/6 and z nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 42*d + 5 = 46*d + 3*r, 2*d = -3*r + 7 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 262 and 82614?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (10 + -5)*(-1)\/((-5)\/2). Suppose -5*b = -6 - 94. Solve -y + 8 = -2*w, -2*y + 3*w = -n*w - b for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*sqrt(6336)*3)\/((-3*sqrt(256) - sqrt(256)) + sqrt(16)\/(1*sqrt(4))).\nAnswer: 216*sqrt(11)\/31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 > 181\/942?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 245753770 and 1095?\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express 189 + 0*b - 165 + b as r + u*b and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -188 + 186.997. Let p = 0.003 + y. Sort -1.1, -4, p in descending order.\nAnswer: p, -1.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 267*u = -660*u - 1889*u - 188672 for u.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y + 3 = 2*u, 4*u - 3*u + 18 = 5*y. Solve -y*d + 8*d = 5*q - 10, -4*q = d + 2 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -164124674 - -11?\nAnswer: -164124663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 5, g: 5}. What is prob of sequence gggg?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 8 + (1 + -7 - -20) + (79 - (43 - 22)).\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14*b = 10*b + 185 - 89 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.4 - 0.4. Suppose 0 = -w - 2*w - 3. What is the closest to w in 2\/9, 5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 45400 rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:14 PM and 8:09 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -71 - 2*u - 6*u + 10 + 37.\nAnswer: -8*u - 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 4445340 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 35 and 959455?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence sgzz when four letters picked without replacement from {v: 6, k: 2, g: 1, s: 1, z: 3}?\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i**(5\/13)\/i**17*(i**(-6)*i)\/i**(-3\/7) assuming i is positive.\nAnswer: i**(-1928\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -3 + 0. Let n(m) = 2*m**2 + 6*m + 13. Calculate the remainder when 101 is divided by n(f).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is k in -5*k**3 - 3420*k**2 - 779760*k - 59261760 = 0?\nAnswer: -228","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 1, y: 7, l: 8, n: 1}. Give prob of sequence eyy.\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 24*f - 2*b = 22*f - 22, -7*f + 3*b = 53 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 2666.5362 minus 1830971?\nAnswer: -1828304.4638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -94.5 + 90.7. What is the second smallest value in -2\/5, 6, f?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 204658 and 2440?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1097 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 0 + -2 + 165\/7 - 183\/(-427). Solve 28 - 138 = -k*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -556, -542, -504, -430, -308, -126, 128, 466?\nAnswer: 900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*q**4 - 5485*q**3 - 1473640*q**2 + 16880380*q.\nAnswer: -5*q*(q - 11)*(q + 554)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = z**3 + 4*z**2 + 10*z - 4. Let u(l) = 2*l**3 + 7*l**2 + 20*l - 7. Let g(o) = 13*r(o) - 6*u(o). Give g(-9).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k**3 + 228*k**2 - 711*k = 0. What is k?\nAnswer: -79, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 10*n - 5*n - 40. Solve a + n = -a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.13 + 0.07. Let j = -3.1 + 4.8. Let i = j - 1.3. Which is the closest to -2\/7?  (a) -1  (b) l  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 1612755909?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 2*s + 2)*(9*s**2 - s**2 - 2*s**2)*(s + 3*s + s).\nAnswer: -60*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 113 + -99. Let a be v\/49 - 180\/(-7). Calculate the highest common factor of 39 and a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = -2*u + 96. Calculate the remainder when 573 is divided by j(7).\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000022467433 to five decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 4, -26, -66, -122, -200?\n\"Answer: -y**3 + y**2 - 26*y + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -48*j + 396*j - 348*j - 1258*j**3.\nAnswer: -1258*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -27601 + 27740.11. Let h = u - 139. Is -0.1 greater than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((n\/n**(2\/37))\/n)\/((n*n**(-20))\/n))**(8\/13) assuming n is positive.\nAnswer: n**(5904\/481)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*w**3 + 177*w**2.\nAnswer: 3*w**2*(w + 59)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = -75*d**2 + 3*d + 37*d**2 + 36*d**2. Let h(b) = -2*b**2 + 2*b. Calculate 2*g(u) - 3*h(u).\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = -359821*v - 719606. Give z(-2).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) be the third derivative of a**4 + 5*a**3\/6 - a**2. Is o(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5414, 1, -4, -1212 in decreasing order.\nAnswer: 5414, 1, -4, -1212","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -450 = -2*x + 4*w, 2*w = 21*x - 18*x - 699. What is the remainder when x is divided by 18*(0 - (-3)\/6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0.47677 - 0.4521. Round a to three dps.\nAnswer: 0.025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*f + 4*f = -6. What is the second derivative of -2 - 9*h - 19*h**2 + 2 - 1 - 62*h**f wrt h?\nAnswer: -162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1904 and 2618.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14*d + 103 = -9 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 85.34081 tonnes?\nAnswer: 85340810000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 44, 4, 3\/4 in decreasing order.\nAnswer: 44, 4, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 63, -3\/8, -0.4, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = -o. Let m(l) = -131*l + 87*l - 92*l. Determine i(m(v)).\nAnswer: 136*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -426*y + 211*y - 173*y**3 - 19*y**3 + 214*y.\nAnswer: -192*y**3 - y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 12\/36 + ((-316)\/(-114) - 3)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 192836\/(-582)*(-24)\/7 a multiple of 113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 106870172?\nAnswer: 2, 4993, 5351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 6, b: 2}. Give prob of picking 1 e and 2 b.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is d + -14?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from klkkkkkk. What is prob of sequence klk?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 6 + 56 + -32 + -6 + 14\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 18\/28 - (-4)\/(-8).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.1 * 237870.\nAnswer: 23787","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7800984.\nAnswer: 2, 3, 108347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(sqrt(22) + sqrt(704)\/sqrt(2) + sqrt(22) + sqrt(22)))\/(sqrt(288) - 2*sqrt(288) - sqrt(16)\/(sqrt(16)\/sqrt(2))).\nAnswer: -21*sqrt(11)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1132394?\nAnswer: 2, 223, 2539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 10*j + 16*j. Let q be (19 + -26)*2\/(-2). Suppose -q*z + 64 + 111 = 0. Solve 5*w + j*w = -z for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16921 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 29949299 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (96*s + 87*s - 64*s)*(1 + s**2 - 1).\nAnswer: 119*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 10969313 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5514 is divided by 425?\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = q - 2, -p - 2*p = -5*q + 4. Suppose 6*n - 16 = p*n. Differentiate -2*r**4 + r**n - 1 - 1 wrt r.\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 247\/30?  (a) -27  (b) -1\/6  (c) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 414490 is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-12)\/14)\/(-2*(-24)\/224).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 8307  (b) -0.28  (c) -1  (d) 1\/4  (e) -3  (f) -7\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 5\/4 and -77\/156.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -2 - -5. Suppose 0*k - 9 = -b*k. Let o = -36 + 38. Solve -11 = a + 3*a - k*q, q = -o*a + 7 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 79 + -4*(-3 - -4) is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 709, 666, 623, 580, 537, 494?\n\"Answer: -43*l + 752","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 7 or 83?\nAnswer: 83","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor 103\/3*z + 70 - 1\/3*z**2.\nAnswer: -(z - 105)*(z + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -4*(-2 + (-388)\/16). What is the greatest common factor of u and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 9695*g**3 - 12791.\nAnswer: 29085*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 39862246?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = h**2 - 1. Let m be w(2). Let n = 14 - 21. Let r = n - -4. Sort -5, m, r in ascending order.\nAnswer: -5, r, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = 1 + 17*w**2 + 8*w**2 + 5*w**2 - 11*w - 43*w**2. Let g(x) = 7*x**2 + 6*x. Let j be 1 - (-30)\/(-42) - (-1738)\/(-154). Calculate j*g(h) - 6*f(h).\nAnswer: h**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -440*a = -445*a - 4*b + 3575, -5*b = 25. Is 719 greater than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) be the first derivative of -579*r**5\/5 + 2*r**2 - 23*r - 380. What is the second derivative of f(y) wrt y?\nAnswer: -6948*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -u + 2 = -v + 3, 5*u = 2*v - 2 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 41 divide 21339270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -26*q + 19*q + 2023. Let b = -90 + q. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 4 + (-5)\/(10\/8). Let t(d) be the first derivative of -1 - 1\/3*d**6 - d**3 + x*d**5 + 0*d + 0*d**2 + 0*d**4. What is the third derivative of t(h) wrt h?\nAnswer: -120*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 z and 1 g when three letters picked without replacement from gzzzzzhzzhg.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is (10*1*((-8)\/(-4))\/(-4))\/6?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 26\/10 + (-20)\/(-50) + 0. Which is the second biggest value?  (a) -3  (b) 2  (c) -5  (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s + 4*s + 24 = 0. Suppose 8 = 2*w, 3*b + b - 80 = -4*w. Let t be (2\/s)\/(4\/b). Is 0 greater than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = -n + 5. Let s be -2*3\/(-6) + 4. Let a be f(s). Let l be (1 + a)*6\/(-18). Which is greater: -1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*l**2 - 39*l**2 + 217*l - 217*l + 245.\nAnswer: -32*l**2 + 245","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 14474?\nAnswer: 2, 7237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -3002*m**3 - 689 wrt m?\nAnswer: -9006*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-58)\/(-580))\/(3\/150). Solve 5*q + w + 18 = 0, -y*q = 2*w + 2 + 19 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -170 * 0.5.\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand -u + 5*u - 7*u - 1 + u + 1 + (0*u - 3*u + 4*u)*(2 + 2 - 6).\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1567 + 1668. Sort f, -5, 1.\nAnswer: -5, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1556786\/39 + -39917. Find the common denominator of d and 104\/105.\nAnswer: 1365","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -9500395, -9500396, -9500397?\nAnswer: -9500398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -19900 to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2558 = 205*p + 8093 for p.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 47652 or 48150?\nAnswer: 48150","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = -50*j**3 + 486*j**2 + 134*j - 12. Determine k(10).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Divide 8134891 by -6.\nAnswer: -8134891\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 - 1 = 2*q. Suppose -q*p = -0*u + 4*u - 36, 0 = -4*p + 5*u + 20. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2200*l - 7*l**2 + 2181*l - l**2 - 4398*l as w*l + b*l**2 + v and give w.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 - (-364)\/(-32) - -7.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 10*o**2*q**2 - 57*o**2 - 14*q**3 + 1 wrt q?\nAnswer: 20*o**2*q - 42*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1.184, 0.14, -6\/11.\nAnswer: -1.184, -6\/11, 0.14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + (-2 - 0) + 1 + -5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 303 minutes before 10:42 PM?\nAnswer: 5:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -91*w = -n - 95*w - 13, -15 = -n + 3*w for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + ((4*-1*sqrt(162))**2 - (sqrt(162) - (sqrt(162) + 0)**2*-6))*-3.\nAnswer: -4862 + 27*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.3 and 26.2999?\nAnswer: 7.88997","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 4 - 4. Suppose -4*u + 5*p = -64, 2*p + q*p = -u + 29. Find the common denominator of -77\/6 and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s = t - 6595, -6*t = -9*t - 2*s + 19801. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = 38*o + 324. Let k(f) = -37*f - 361. Let a(p) = -4*j(p) - 3*k(p). Calculate a(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 303947 to the power of 1\/3, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = -z**2 - 20*z - 17. List the prime factors of k(-17).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 30\/50 - 6\/(360\/21). Let f = 16 - 18. Which is the smallest value?  (a) -0.044  (b) f  (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1*8\/14*7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -365, -420841, 1 in ascending order.\nAnswer: -420841, -365, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(396) + 1*sqrt(396))\/sqrt(9) - sqrt(44))\/(sqrt(400)*-2))**2 + (2 + sqrt(275) + 5 + -4)**2 + 4.\nAnswer: 30*sqrt(11) + 115211\/400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -88\/273 and 19\/525?\nAnswer: 6825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 divided by -32030.\nAnswer: -1\/16015","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*d**3 + d**3 + 14407 - 14423.\nAnswer: -2*d**3 - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(0 + sqrt(5) + -5 - (sqrt(60)*2)\/sqrt(12))**2 - sqrt(50)\/((sqrt(90)*2)\/sqrt(9))*-3.\nAnswer: 23*sqrt(5)\/2 + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = -b**2 - 2*b - 1. Suppose -3*i - 16 = -2*s, i + 18 = 2*i + 4*s. Let o be k(i). What is the units digit of (-2)\/(-2) - (-1 + o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2931992831 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = -8 - 114*v + 118*v + 3. Let t(u) = u**3 - 3*u**2 + 2. Let i be t(3). Let r be k(i). What is the highest common factor of r and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = d**3 + 10*d**2 + 16*d + 113. Calculate r(-10).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (2\/4)\/(3\/(-30)). Let v(t) be the third derivative of -t**5\/60 + t**4\/12 + 2*t**3 + t**2. Let u be v(5). Which is greater: q or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2008550 divided by -25.\nAnswer: 80342","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 4*a**6 + 2376*a**5 - 3*a**4 - 26*a**2 + 58*a - 4 wrt a?\nAnswer: 480*a**3 + 142560*a**2 - 72*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 271742 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g\/((g\/((g\/g**(9\/4))\/g*g))\/g)*(g\/((g*g**(-20))\/g))\/g)\/(g\/g**(-14))**(-3\/2) assuming g is positive.\nAnswer: g**(169\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.560163846 rounded to 2 dps?\nAnswer: 1.56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 571*p = 549*p + 66 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*r = 15*r - 14. Differentiate r*m**3 + 15 - 2*m**3 + 3 + 12*m**4 with respect to m.\nAnswer: 48*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-2215)\/(-15)*3 + 4 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 (base 11) to base 3\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -219 + 220. Which is the closest to o?  (a) -5  (b) -0.1  (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = 8*h - 7. Let w(i) = i**2 - 65*i + 844. Calculate the remainder when w(14) is divided by n(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 986, 1362, 1740, 2120, 2502?\nAnswer: 2886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2481?\nAnswer: 3, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -2.7 + 2.6. Let q = -22 - -13. Is n >= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = y**2 - 29*y - 16. Let g(n) = 2*n**2 - 72*n - 40. Let c(x) = 5*g(x) - 12*m(x). Let v be c(-5). Solve -11\/5*k + 2\/5 + 12\/5*k**v = 0 for k.\nAnswer: 1\/4, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in thirteen twelths of a week?\nAnswer: 182","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2\/197 + -583\/788. Which is the closest to 0.1?  (a) -0.3  (b) 3  (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 107863 and 399?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 262 - 152. Calculate the smallest common multiple of h and 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 61123 is divided by 118?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 11 - 16. Is ((-4)\/2 - a) + 76 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 2875 - 1206. Suppose -5*x = -4*o - n, -3*o - 1701 = -5*x - 7*o. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10222 (base 3) in base 10?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -153 + 17?\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1032846 - -2262846. Round f to the nearest 100000.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -580 (base 16) to base 9\nAnswer: -1834","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*k + 5*r + 10480, 2*k - 7*k + 2*r = -10489. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3853.\nAnswer: 3853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = -4*m**2 - 2*m. Let t be l(3). Let u = t + 44. What is the lowest common multiple of 1 and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in one fifth of a meter?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -64*i - 83*i**2 - 71*i + 91*i wrt i?\nAnswer: -166","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 766220 is divided by 87.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = x**3 + x**2 - 1. Let y(l) = -4*l**3 - 3*l**2 - 237. Determine -6*a(g) - 2*y(g).\nAnswer: 2*g**3 + 480","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -141333 + 0?\nAnswer: -141333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (107 - -3 - 4)*(-3)\/(-2). Let u = -147 + h. What is the smallest common multiple of 3 and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 322 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express ((4 + 0 - 2)*(2 - 3 + 0) + 0 + 1 + 1 + 4 + 1 - 7)*(-13*n + 87*n + 63*n) in the form o*n + p and give o.\nAnswer: -274","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -122, -499, -1126, -2003, -3130?\nAnswer: -4507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 14 - 10. Let v(r) = 12*r + 2*r**2 - 9*r - 7*r. Is v(b) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = 11*w**2 + 6*w + 5. Let c be u(-4). Let d = c - 625\/4. What is the closest to 0.1 in -1\/4, -2, d?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 22356 + -8?\nAnswer: 22348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -7 - 1 - (27 + (-4 + 7 - -5) - -1)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -224 + 221. What is the third biggest value in -4, b, 2\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (14\/15)\/((-16)\/108) and -43\/7.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1753 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*q**4 - 2*q**4 + 0*q**4)*(5 - 5 - 5*q)*(0 - 7 - 3).\nAnswer: -100*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-280)\/24 + 11)*5\/((-130)\/(-6)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o = -2*o + 2. Suppose -o*z = 3*z - 15. What is the second derivative of 2*q**3 + q**z - q**3 + 2*q + q wrt q?\nAnswer: 12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 32 + -31. Let d be (68 + -64)\/(a + 3). Solve k = -0*k - d, k = 2*v + 7 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = -u**2 + u + 3. Let s(x) = -7*x**2 + 7*x + 7. Let m(c) = -6*c**2 + 6*c + 6. Let r(v) = 6*m(v) - 5*s(v). What is -f(z) + 2*r(z)?\nAnswer: -z**2 + z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 10*d**3 + d + 248*d**2 + 1 - 248*d**2 + d**3 + 0*d**3 - 4*d**3 + (-4*d**2 + 0*d**2 + d**2)*(2 - 2 + d) to t*d + f + a*d**3 + q*d**2 and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = 12*i**3. What are the prime factors of n(1)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u - 16 + 76 = 4*x, -27 = -3*x - 3*u. Calculate the common denominator of 85\/48 and x\/(-1260)*(1 + (-1374)\/4).\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -159296, -318600, -477904, -637208, -796512, -955816?\nAnswer: -1115120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -23\/164 - -3053\/24108. Let t = o - -104\/441. Suppose 5*g = p + 16, 5*g - 18 = p + 2*p. Which is the third smallest value?  (a) -2\/13  (b) t  (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 5646 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*g = -3*v + 16, -2*g = 3*v + 44 - 45 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j + 58 - 56 = 0. Factor -9*r - 20 - 10*r - 44*r**2 - r**j - 36*r + 5*r**4 - 5*r**3.\nAnswer: 5*(r - 4)*(r + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine u so that -4*u**4 + 53612*u**3 - 179827872*u**2 + 1255741040*u + 1435622528 = 0.\nAnswer: -1, 8, 6698","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = 10*j**2 + 6*j + 4. Let c be t(-5). Suppose -11109 = -21*k + 12264. Suppose -35*m + k = 133. What is the highest common divisor of c and m?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 0.5  (b) 43  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 6331027856?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 28 - (5 + 4 + (8 - 10) + -8)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*q - 104 = 6*z, 4*q = -159*z + 161*z + 28 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 1, q: 1, x: 2, s: 2, j: 1, h: 1}. Give prob of picking 1 x, 1 q, and 1 h.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.3?  (a) -5  (b) -37  (c) 12.48  (d) -2\/21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 1\/5 + 87\/15. Suppose -m + 12 = -x. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*m - 4 - 11. Let y = m - -6. Solve -y*w + 16 - 4 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 183459431.\nAnswer: 23, 37, 193, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = -4*a - 2. Let o be p(-2). Suppose -3*h - 69 = -o*h. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b = 22318 + 4987. Let c = b + -1781. Suppose 8*k = 4*k - c. Round k to the nearest one hundred.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 60 and 220.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is (-16)\/5 + 360\/(-450)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 335411 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) be the second derivative of 1\/3*v**3 - 1\/180*v**6 - 7\/36*v**4 - 17*v + 1\/18*v**5 + 10*v**2 + 0. Let h(r) be the first derivative of y(r). Factor h(q).\nAnswer: -2*(q - 3)*(q - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*j + 5*j + 22 = 4*t, 10 = 2*t for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -7 - -13. Suppose 12 = -w + n. Let m(f) = -3*f**2 + 15*f + 2. Let s(g) = -4*g**2 + 22*g + 3. Let h(i) = 7*m(i) - 5*s(i). What is h(w)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -111 - -23. Let v = -81 - g. Suppose 3*t = -5*h + 96, 121 - v = 4*t + 2*h. Calculate the remainder when t is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -48 - -51. Let c(d) be the second derivative of d + 0*d**g - 3\/2*d**2 - 1\/4*d**4 + 0. What is the first derivative of c(f) wrt f?\nAnswer: -6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 81.11 - 83. Let s = 5.89 + g. Let z = -5\/6 + 1\/2. What is the nearest to z in -1\/9, -0.2, s?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2.2 - -13\nAnswer: 15.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 671 is divided by 56?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1 + 0. Let j = z + 0. Let i = -144 + 135. What is the closest to j in i, -4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 20 - (0 - ((5 - 6) + 13))?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 68\/3*c**3 + 44\/3*c - 20\/3*c**4 - 8\/3 - 28*c**2 = 0 for c.\nAnswer: 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = 2*x + 7. Let a = 3 + -4. Let v be (-8)\/(-3) + 1\/3. Let m(o) = o + 1. Let l(f) = a*j(f) + v*m(f). What is l(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = -3*h + 8*h. Suppose 2*a - 3 - h = 0. Suppose -x - 1 = 5*o + a, 4*x - 2*o = 10. Solve -1 = -x*p + 9 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 80, 228, 476, 824, 1272, 1820?\n\"Answer: 50*h**2 - 2*h + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 882333, 882280, 882191, 882066, 881905?\nAnswer: 881708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(52)\/(sqrt(32)\/(sqrt(24)\/sqrt(3))).\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6318 = 646*y + 1626*y - 8126 + 31344 for y.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (8 + -6)\/(8\/60). Suppose 0 = -b*j - 35*j - 150. Let x = 0.3 + -0.2. What is the nearest to j in x, 0, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 30595789789 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 38 divide 29106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 6.403795 milligrams in nanograms?\nAnswer: 6403795","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = 4*z - 1. Let y(w) = 3*w. Let o(m) = -4*q(m) + 5*y(m). Let p be o(-9). Let h(f) = 3*f - 28. What are the prime factors of h(p)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22 = -3*l + 4*v, -2*l = -2*v + 4 - 16. Suppose 2*i = 6, -4*s - l*i = -i - 443. Calculate the greatest common divisor of s and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w**(-26)\/w)\/w**(5\/8))**40 assuming w is positive.\nAnswer: w**(-1105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = -u + 4. Let r(z) = z**3 + 4*z**2 + 4*z + 2. Suppose 0 = 4*d - 3*d + 2. What is the lowest common multiple of r(d) and y(-14)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 14966786 to the power of 1\/3, to the nearest integer?\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (54\/(-30))\/(-2*12\/40). Suppose 4 - 12 = -2*x. Suppose -3*z + x = -z. Solve z*r - 12 = r - w*t, -4*t = r - 16 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 2053\/(-2140) - ((-18)\/(-10) - 2). Let p = a + 1\/107. What is the smallest value in p, -2\/3, 4, -2\/7?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (0 + -1 - -5 - -1) + 1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.02 * -0.18.\nAnswer: 0.0036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*q + 4*x = -16, 16*x + 26 = 4*q + 22*x for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3819 = -9*u - 786. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-4)\/9)\/(3*28\/(-1134)). Let q(o) = -665*o - 209. Let p(l) = -19*l - 6. Calculate u*q(r) - 209*p(r).\nAnswer: -19*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -6 + 0 + (8 + -15 - -16)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(400)*-2)\/sqrt(8))\/(sqrt(110)\/(sqrt(11)*-2)) + (5*(sqrt(605)*-5 + sqrt(605))*3)**2.\nAnswer: 4*sqrt(5) + 2178000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = 10*w + 218. Calculate the remainder when l(-19) is divided by 1\/(3\/((-15)\/(-1))).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 75\/(-10)*7\/63*-18.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = -1541*q + 448. Let c(u) = -772*u + 223. Let g(z) = -10*c(z) + 4*d(z). What is the derivative of g(n) wrt n?\nAnswer: 1556","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 152 is divided by 145?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o + 2 - 27 = 0. Let w be (1 + 0)\/((-1)\/o). Suppose -v = k - 5, 0 = -2*v + 3*v - 4*k - w. Solve -v*a + 4 = -6 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-4)\/(-18) - 115\/(-9). Suppose n - 1 = -3*u. Let r(p) = -p**3 + 2 + 4*p - 4*p**2 + 0*p**2 + p**2. Determine r(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -4092*i**2 + 5051 wrt i.\nAnswer: -8184*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is -917169.2 >= 1\/20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = 2*g**2. Let o(q) = q + 1. Suppose -7 + 9 = 2*n. Let z(x) = 4 + 6*x - 4*x - x. Let t(c) = n*z(c) - 4*o(c). What is u(t(h))?\nAnswer: 18*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = t**2. Suppose -g + 3 = -2*z + 1, 0 = 2*z - 2. Let d = g + 1. Let v(l) = 3*l - d*l + 4*l. What is v(p(b))?\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/6, -1, 0.019.\nAnswer: -1, 0.019, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -4, 1\/3, -5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = 3*a**2. Let j(f) be the second derivative of 0*f**2 + 2*f - 43 + 1\/6*f**3. What is j(k(q))?\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) be the first derivative of -9*w**2\/2 - 2*w - 11. Let r(c) = 31*c + 6. Let o(p) = -46*p - 9. Let t(l) = -5*o(l) - 7*r(l). What is 5*t(a) + 7*v(a)?\nAnswer: 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.3819 rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.27366 to 2 decimal places.\nAnswer: -0.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort 14, 2, -2, -11, -568 in descending order.\nAnswer: 14, 2, -2, -11, -568","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d = -0*d - 12. Let u = -4 + d. What is the second derivative of 3*b - 4*b - b**2 + u*b wrt b?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*r**4\/15 + 878594*r**3\/15 - 1757108*r**2 + 52712440*r\/3 - 175706800\/3.\nAnswer: -2*(r - 439267)*(r - 10)**3\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 34920967, 69841956, 104762943, 139683928, 174604911, 209525892, 244446871?\nAnswer: 279367848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 469 is divided by 94.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(-3))**(-20)*g**(-3\/4)*g**6 assuming g is positive.\nAnswer: g**(261\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {d: 2, y: 1, i: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vd when two letters picked without replacement from drxttvvx.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 (base 10) in base 8?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 2\/19 + 3061\/(-19). Let m = g + 161. Which is the third biggest value?  (a) -0.2  (b) 5  (c) m  (d) -0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 103 divide 84237816?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 4304 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: What is prob of picking 1 b and 2 d when three letters picked without replacement from {b: 2, d: 1, c: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r + 3*n = 2*n + 70, -r - 4*n = -5. Let v(l) = 2 + 11*l**2 + 13*l**2 + 6*l - r*l**2. What is v(7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (c**2 + c - c)*(-3*c**3 - 5*c**3 - 21*c**3) - c**5 + 2*c**5 - 3*c**5 + (4 + 2 - 4)*(-c**5 - c**5 + 4*c**5) + 601 - 601 - 44*c**5.\nAnswer: -71*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 1, s: 1, e: 2, i: 1, r: 3, p: 3}. Give prob of picking 1 s and 1 i.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 1, l: 1, c: 4, g: 1, b: 1}. What is prob of picking 1 l, 1 g, and 1 b?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = -n**2 - 6*n - 5. Let y be t(-5). Let v be 16\/(-6) - -1 - -1. Let q = 2.9 + 0.1. Which is the nearest to v?  (a) y  (b) q  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -177*d**3 - 185*d**3 + 4344*d**3 - 3977*d**3.\nAnswer: 5*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 992 and 96?\nAnswer: 95232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -1526, -3144, -4690, -6128, -7422, -8536?\n\"Answer: 6*m**3 - 1660*m + 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 86\/307965 and -87\/2?\nAnswer: 615930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 242827267 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zfr when three letters picked without replacement from rfcrcz?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 7\/(-28) - (-709)\/4. What is the common denominator of 23\/20 and -1 + (c\/(-8))\/(-3)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = v. Let k(d) = -471*d**2. Determine k(z(b)).\nAnswer: -471*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -8 + 14. Let s = z - 3. Solve 25 = -2*u - s*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*v - 5*a + 16 = -v, 36 = 5*v + 4*a for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 58860 to the power of 1\/2, to the nearest integer?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 z and 1 p when two letters picked without replacement from jjpzjjjjjjjjj.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 157473 is divided by 14272?\nAnswer: 481","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28*t - 288 = -63*t + 167. Sort -5, t, -92, 0, -1 in descending order.\nAnswer: t, 0, -1, -5, -92","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find r, given that 15*r**5 + 618*r**4 - 43179*r**3 - 9150*r**2 + 34632*r = 0.\nAnswer: -78, -1, 0, 4\/5, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*w - 11 = s, s + 81 = 16*w + 146 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = x**2 - 10*x - 21. Let c = -6 + 6. Suppose -3*g + 30 = -g - 3*p, -5*g + 4*p + 68 = c. Let h be t(g). Solve -5*s + 7 + h = -5*a, -2*a - 2 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1565570779 to the power of 1\/3, to the nearest integer?\nAnswer: 1161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t + 2*j - 548 = -2*t, -t + 184 = j. Suppose -u - 4*u = -t. Calculate the highest common divisor of u and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do -535 and -533 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12 = 2*s + 2*t, -t = -10 + 7 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r**4\/9 - 1456*r**3\/9 - 5422*r**2\/3 + 5824*r\/9 + 65032\/9 = 0. Calculate r.\nAnswer: -11, -2, 2, 739","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 2122 (base 3) to base 8\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = -r**3 + 5*r**2 + 7*r + 3. Let f = 1 - -5. Is m(f) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r + 0*f - 14 = 3*f, -2*r + 5*f + 10 = 0. Suppose z - r = -4*z. Suppose 0 = a - w - 3*w - 14, 0 = 2*a - z*w - 16. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) be the second derivative of q**3\/6 + 3*q. Let n(t) = 15*t. Determine n(x(v)).\nAnswer: 15*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -0.5676 * 3\nAnswer: -1.7028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*g + 0 + 0)*(-3 + 3 + g)*((-1 + 1 - 4)*(-g - 3*g + 3*g) - 3*g + 0*g + g) in the form o*g**2 + u*g + s + j*g**3 and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l + 0 = a - 2, 2*a - 3*l - 18 = 0. Solve 3*h = -3*d + a, 0*h - 28 = -5*h + 3*d for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 9*o - 9*o - 10*o to the form i*o + k and give i.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put -10, -5, -1, 47 in decreasing order.\nAnswer: 47, -1, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -14\/81 and 113\/216.\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -5, -11\/477, 2\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does -3\/49 = -57222?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 7, -52, -3, 1, -164 in descending order.\nAnswer: 7, 2, 1, -3, -52, -164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*m - 16*m + 8 = 5*z, 3*z + 4 = 2*m. Suppose h + 5*a = 2832, z = h - 2*a - a - 2872. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 354538957 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round -3.48991 to 2 decimal places.\nAnswer: -3.49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 552317?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.5, -2\/3, 5, 6.4 in descending order.\nAnswer: 6.4, 5, -0.5, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2476*o - 2488*o + 24. What is the remainder when 158 is divided by o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 15\/4 of a kilogram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 162\/13 or 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2\/12)\/((-135)\/(-90)).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g - 11 + 3 = 0. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (5 + 48\/(-9))\/(1\/(-9)). List the prime factors of (4 - 1) + 291 + (4 - p).\nAnswer: 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 91\/4 - 24. What is the third smallest value in 0, -4, h, -2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1245863 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -98181597 + 98181590.00000112. Let h = -184 + 177. Let y = h - v. What is y rounded to 7 dps?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 2*a**2*k**2 - 11*a**2*v + 27*a**2 + 45*a*k**2 - 5*a*v - 9*k**2*v - 2*k*v wrt v.\nAnswer: -11*a**2 - 5*a - 9*k**2 - 2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 11, -85, 0, 833, 1, -3.\nAnswer: -85, -3, 0, 1, 11, 833","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -3056.64 times 5.21?\nAnswer: -15925.0944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 25, 66, 119, 190, 285?\n\"Answer: h**3 + 34*h - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -170765*t**3 + 43394*t**2 - 1 wrt t?\nAnswer: -1024590","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 3\/7, 0.94, 311\/8?\nAnswer: 311\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-4)\/2 + (-157120)\/(-78540). Let d = -365203\/15708 - c. Calculate the common denominator of d and (2\/4)\/(60\/(-291)).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = -2*z - 2. Let p(f) = f - 1. Let i(a) = -l(a) + 2*p(a). Let y(x) = 20*x. Calculate 16*i(u) - 3*y(u).\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*h - 8*h = -4. Let r(w) = w + 7. Calculate the smallest common multiple of r(5) and 6\/(-8) + (-67)\/h.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = 9*z**3 - 2*z**2 + 4*z. Let t be y(3). Suppose -2*p + 277 = 4*k - t, 4*k - p = 511. Is 22 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 21*12\/(-3528)*336\/600.\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 3*h**3*u**2*x - h**3*u**2 + 916*h**3*u + h**2*u*x - 4*h**2 - 2*h*u - u**2*x - 8*u wrt h.\nAnswer: 18*u**2*x - 6*u**2 + 5496*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3733a (base 12) to base 3.\nAnswer: -10210120201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1161 = -5*h + 2*n, 4*h - 942 = -0*h - 5*n. Let z = h - 39. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1129, -4448, -9867, -17290, -26621, -37764, -50623?\nAnswer: -65102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-1)\/(-2))\/((182\/13)\/(-308))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 0.4389506 micrograms?\nAnswer: 0.0000000004389506","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 96*p - 768 = 32*p. Solve 0 = -2*a + 4*j - p, -8 = -a - 8*j + 3*j for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -364*s + 361*s - 27, 0 = -2*l + 5*s + 49. Suppose 0*u - 13 = -u - 2*b, 4*u - 19 = 3*b. Solve -g = -l*o - u, -4*o = -g + 12 + 3 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -25 and -1.892.\nAnswer: -26.892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 1, n: 3, a: 1}. Give prob of picking 2 n.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence evxe when four letters picked without replacement from veeevxex?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 48\/7 in -2\/7, -2\/3, 3, 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is a in 9*a**4\/2 + 21*a**3 + 24*a**2 + 3*a - 9\/2 = 0?\nAnswer: -3, -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(150) - (sqrt(150) + 2*sqrt(150)*-1))\/(-6*sqrt(40)))\/((sqrt(9)*-3)\/sqrt(3) + sqrt(243)*-3))**2.\nAnswer: 1\/6480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 24 - -272?\nAnswer: 316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 48 divide 1762?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r + 5867 = -j, -54*j = -2*r - 55*j + 5877. List the prime factors of r.\nAnswer: 2, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v = -37*v + 11*v + 7260. Which is the biggest value?  (a) 0  (b) v  (c) 1  (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = -15*b - 8. What is v(-4)?\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 2657877 (base 9) in base 5?\nAnswer: 333041202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 83664 and 18086364?\nAnswer: 506418192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x + 0*j = 4*j - 12, 0 = -4*x + 2*j + 6. List the prime factors of 136\/(-12)*(-3)\/x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 20 in -2, -1, 48?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3*w**5 + 3554600*w**3 + 1168*w**2 - 16051*w + 1 wrt w?\nAnswer: -180*w**2 + 21327600","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:31 PM and 5:18 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 67*r + 4*r + 46 - 111 + 1840 for r.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1441413794 to the nearest integer?\nAnswer: 1130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 85 a factor of 329734465?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1383\/3 + 8 + (-7 - -4) is divided by 111?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = 10*r + 53. Let v be s(-6). Suppose -412*p + 405*p - 28 = 0. Put p, v, 1\/3 in descending order.\nAnswer: 1\/3, p, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = 4419*v - 2656. Let n(g) = 737*g - 440. Let j(l) = -25*n(l) + 4*x(l). Find the first derivative of j(u) wrt u.\nAnswer: -749","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 238.49 - 238.53. Let v = 0.6 - 0.6. What is the second smallest value in v, -2, -0.1, d?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 479*j - 94*j - 3994828 = -1342178. Is 26 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-3)\/18)\/((-553)\/(-182490))?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 2102741 or 2?\nAnswer: 2102741","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from abaabeaeaaaa. Give prob of sequence eb.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -12503300, -12503273, -12503246, -12503219, -12503192, -12503165?\nAnswer: -12503138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 78477 is divided by 26136.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = -130*r**2 - 2*r + 5. Let p(y) = -43*y**2 - y + 2. Let j(q) = 3*a(q) - 8*p(q). Let m be j(1). List the prime factors of (-240)\/m*(-15)\/(-2).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 1, p: 2}. What is prob of sequence oo?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = -396*r - 394. Let a be d(-1). Put a, -6, 3, 0 in ascending order.\nAnswer: -6, 0, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) be the first derivative of 0*f - 3\/5*f**5 - 3\/2*f**2 + f**3 - 3 + 3\/4*f**4. Find j such that t(j) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4*u - 40*u - 10 - 47*u**3 + 36*u + 40*u**3 - u**4 - 45*u**2 to r*u + x*u**2 + j + y*u**3 + z*u**4 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-32992)\/(-60) + (-1)\/(-120) + 5\/40. Solve 0 = 77*y + r - 88 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f = 2*x + 44, 3*f = -0*f + 2*x - 20. Let a = 10 + f. Factor -13*n - 25*n**2 - 4 + 2 - 9*n**a - 21*n**3 - 2*n.\nAnswer: -(n + 1)*(3*n + 1)*(7*n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 3 - 2)*(19 - 40*u + 6 + 38*u).\nAnswer: 12*u - 150","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (99\/(-6))\/(-11) + 34\/4. Let l(z) = 51*z - 18. Let n be l(p). Suppose -2*w = 2*w - n. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.175 times 0.5\nAnswer: 0.0875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 7795.114 rounded to 0 decimal places?\nAnswer: 7795","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 498 - 228. Let j = -577 + z. Let q = -306.99857 - j. What is q rounded to four dps?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -67 - -67 - (16 + -11 + -2 + -16).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from idiittiidiytiiiit. Give prob of picking 1 t and 1 y.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = 3*y**2 - 4*y. Suppose 55 = 3*p + 1. Let o be 2\/4 - p\/(-4). Let a(i) = 4*i**2 - 5*i. Let r(d) = o*s(d) - 4*a(d). Let q(z) = 3*z. Give r(q(n)).\nAnswer: -9*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i**2\/3 + 1920*i - 1027198\/3 = 0. Calculate i.\nAnswer: 191, 2689","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -3.68 - -2.68. Suppose 4*s = -2*v + 5*v - 64, -68 = -5*v - 3*s. Put v, 1\/7, l in decreasing order.\nAnswer: v, 1\/7, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -7 and -210749487918.\nAnswer: -210749487925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = 2*x**2 + 8*x - 13. Let c = 3968 - 3974. Determine z(c).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 9\/2*16\/12. Let o = 33 + z. Calculate the highest common divisor of 26 and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 1908*g + 1487*g + 1215*g in the form h*g + a and give h.\nAnswer: 4610","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1970 = -3*v + m + 983 + 976, -16*v + 5*m = m + 68 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -89*h + 80*h - 411*h - 15960 = 0 for h.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = w + 17. Suppose 0*b - 17 = -4*c + 5*b, -4*b + 8 = 4*c. What is the remainder when v(-11) is divided by c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = -d**3 + 11*d**2 - 7*d + 87. Let l be b(11). Suppose -l*c + 11171 = 561. What are the prime factors of c?\nAnswer: 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-6)\/(-9) + (92\/21)\/(-4).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kskggcgcg. Give prob of sequence cg.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 213181?\nAnswer: 213181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) be the first derivative of q**3\/6 + 3*q**2\/2 - 7*q - 12. Let j(v) be the first derivative of b(v). What is j(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 22814281?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 1488 a factor of 542396013?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:16 PM and 3:42 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4816 (base 14) to base 10.\nAnswer: 12564","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 41052227 a multiple of 359?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 188 - 182. Suppose 0*n = -x*n + 30. What are the prime factors of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -9*3\/(-7 + 4). Suppose 0 = 2*h - h + b - 1, -b + k = 3*h. What are the prime factors of 80*(3 + (-9)\/h)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 779 is divided by 28?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 23233 - 15711. Is 70 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -185c6e + -1?\nAnswer: -185c6f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h - 20 = -2*r, 11 - 2 = -3*h. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 80867 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g\/((g*g**(9\/4))\/g*g)*g)**(-1\/22)\/((g*g\/g**9*g)\/(g\/(g*(g\/g**(-2\/33))\/g))) assuming g is positive.\nAnswer: g**(1583\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = 14*d**3 + 8. Let n(v) be the first derivative of 0*v**3 - 1 + 0*v**2 - 3*v - 5\/4*v**4. Give -3*h(f) - 8*n(f).\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = 4972*p + 4695. Is d(7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11111 (base 3) to base 12.\nAnswer: a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zffzzf. Give prob of sequence ff.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 971860711 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -61 = -5*y - 26. Suppose 0*q - y = -q. What is the remainder when q is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = -m**2 - 45*m - 37. Let t be o(-40). Calculate the highest common factor of t and 4401.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"}
{"text":"Question: Calculate (2\/26)\/(724\/4706)*58.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -248*w**5 - 120*w - 323*w**2 + 122*w - 1168*w**5 wrt w?\nAnswer: -84960*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -28.48 and -142.650473.\nAnswer: -171.130473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express 49 - 102 + 2452*l - 2427*l in the form w + h*l and give h.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.1873 + -6849003.\nAnswer: -6849003.1873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = -42*u + 2001. What is l(46)?\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: (1\/(-1))\/(5\/(-20))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 9688 less than 10195?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*u + 2*a, 2*u - 141*a = -143*a for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the seventh smallest value?  (a) 29  (b) -4  (c) -391  (d) -0.1  (e) 0.2  (f) 0.5  (g) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 5, x: 2, u: 3, t: 7}. What is prob of picking 1 t, 1 x, and 1 v?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -160380 rounded to the nearest ten thousand?\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 23.005 times 43?\nAnswer: 989.215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 29.615 plus 11702?\nAnswer: 11731.615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 7 + -1. Suppose -t*k + 18 + 48 = 0. Let m(y) = y**3 - 12*y**2 + 12*y - 3. Let i be m(k). Solve -3*p = s - 1, 5*p - s - i = -1 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 22391448 and 3731908.\nAnswer: 22391448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 6847708547 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {d: 5, l: 3}. Give prob of sequence dld.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4980536.\nAnswer: 2, 11, 56597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -84, -80, -62, -24, 40, 136?\nAnswer: 270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1562979?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 79978 is divided by 1176.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -26 - -22. Let w be (-2)\/m*(5 - -5). Suppose 6*g - g = l - 55, -w*g + 395 = 5*l. List the prime factors of l.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 54 is divided by 12*(-1 + 2) + 2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7104.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 300727?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = -47*c + 117. Let b be n(-6). What is the greatest common divisor of 21 and b?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1242 divided by -23?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -261684*v**3 + 47403 wrt v.\nAnswer: -785052*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10614 is divided by 8686.\nAnswer: 1928","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -21 + 5. Let n = -6 - r. Let z = -60 + 110. Calculate the highest common divisor of n and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 31992 divided by 3999?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = 3*n**2 + 11*n - 35. Let k be i(10). Let g = -16876\/45 + k. Calculate the common denominator of -17\/30 and g.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18 = 2*s - 1006359*r + 1006363*r, s - 2*r = -7 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (37812\/(-1370))\/((-36)\/(-40)*-4).\nAnswer: 23\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express -4876*k**2 + 4876*k**2 + 1 + 2*k - 25*k**3 as r*k + l*k**2 + f*k**3 + i and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = 3*r - 4. Let j = 17 - 21. Let c be y(j). What is the tens digit of 3\/3 - (2 + c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = 992*y. Let n(j) = 4*j. Calculate n(x(a)).\nAnswer: 3968*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round -159.35338 to the nearest 10.\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) be the second derivative of -s**8\/28 - s**4\/4 + s. Find the third derivative of b(o) wrt o.\nAnswer: -240*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = -3*w - 6, -5*h = -2*w - 73. What is the remainder when 41 is divided by h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = 5*m**2. Let q = 19 - 13. Let g be 6*(16\/q - 2). Let a be f(g). Calculate the greatest common divisor of a and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in fourty-two fifths of a day?\nAnswer: 12096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -6.58055 rounded to 1 dp?\nAnswer: -6.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = -4*g**2 + 1. Let o(b) = b**3 - 6*b**2 - 5*b + 8*b - b**2 + 3*b**2. Let l be o(3). Suppose l = t + 2*t + 4*m + 17, -2*t - 23 = 5*m. Determine h(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 11305 by 551.\nAnswer: 595\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 376.568 micrograms in kilograms?\nAnswer: 0.000000376568","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1650 + 1665. Solve -3*z = 2*z - k for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -10d3 (base 15) in base 3?\nAnswer: -11220100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 132 divide 160817?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -13*(-238)\/11492*24\/21?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 4 + -2. Suppose -n*v + 1 = -v. Suppose 5*x = 5*f + 40, 4 = 3*x + 2*x + 4*f. Solve 3*s - 1 = y + 2*s, -v = x*y - s for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 30 = 35*r - 29*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 422531076 and 111807.\nAnswer: 12423","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 200449243 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1484)\/(-53)*(-16)\/28 + -15?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(-11\/4)*x)**43 assuming x is positive.\nAnswer: x**(-301\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 28*z = -318 - 130 for z.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = -3*n - 5. Let u(a) = -a - 1. Let s(m) = r(m) - 5*u(m). Let v be (-3)\/(3 - 27) - (-90)\/48. Let q(d) = 21 - v*d - 11 - 10. Determine q(s(x)).\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) be the third derivative of k**4\/24 - 5*k**3\/3 - 17*k**2. Let s be m(12). Suppose -3*g - 235 = s*g. Is -46 != g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 427*z - 8559 - 6170 = -1919 for z.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -813, 1125, -4?\nAnswer: -813","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 648623 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Total of -34 and 10723013411.\nAnswer: 10723013377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -91768*q + 91770*q - a - 11 = 0, 0 = 3*q - 3*a - 18 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1522 is divided by 91.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) be the first derivative of p**3\/3 + 5*p**2\/2 + 6*p + 4. Let b be a(-4). Let v(d) = 4 + 0*d**b + 1 + 3*d + 2*d**2 - 4. Give v(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((5*3*sqrt(176))**2 - (1*(sqrt(176)*-3 - sqrt(176)))**2) + ((sqrt(176)*4 + sqrt(176) + -2)*-3)**2.\nAnswer: -720*sqrt(11) + 76420","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3708645 is divided by 93.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is (16\/126)\/((-312)\/(-364))*252\/168?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide -388688 by 5716.\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.13 + 9055007.6?\nAnswer: 9055009.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 2564214514 to the power of 1\/2, to the nearest integer?\nAnswer: 50638","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-225)\/(-7) + 10\/(-70). Let p = m - 20. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w*w**(-21)\/w*w)\/(w\/w**(-21)*w)*(w\/(w\/(w**(-3\/2)*w)))**29 assuming w is positive.\nAnswer: w**(-115\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -21633 + 34672. What is the highest common divisor of 26 and d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (38 + 35 - 242)*(-3*v**3 - 5*v**4 + 3*v**3) as q*v**3 + d*v**2 + l*v + c + z*v**4 and give z.\nAnswer: 845","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 62 minutes after 7:10 AM?\nAnswer: 8:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = s - 8. Calculate j(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -r**2 + 8*r - 4. What is the units digit of v(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0002720236196 to five dps.\nAnswer: -0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 80 = 12*a + 8*a. Let l be a - (-6)\/(-4)*2. Sort l, 5, -18, -1\/5 in decreasing order.\nAnswer: 5, l, -1\/5, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4825 is divided by 2406.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -8 - -11. Suppose a = 4*q + 23. Let w = q - -7. Calculate the greatest common divisor of 5 and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*z = 13*z + 35. What is the remainder when z is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 3566959*d*w**3 + 107078*w**3 wrt d?\nAnswer: 3566959*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4603?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 369, 696, 969, 1188, 1353?\nAnswer: 1464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2871 (base 10) to base 15.\nAnswer: -cb6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = 11*z**2 + 1. Let k be l(1). What is the greatest common divisor of k and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.1104 - 13.1104. Let v = 4400.755 + -4414. Let l = v - h. What is l rounded to 2 dps?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1 - (2 + -26 - (-2 + -3 + 17 - 12))\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = k**2. Let l(a) be the second derivative of -a**6\/360 + a**3\/3 - 4*a. Let q(z) be the second derivative of l(z). Calculate q(h(r)).\nAnswer: -r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = d**3 - 29*d**2 + 29*d + 20. Let n be o(28). Which is smaller: n or 53?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -167, 3, 3\/4?\nAnswer: -167","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -433\/132 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: (-12)\/(-20) + 3\/(-3)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express 20*n**3 - 10*n**3 - 11*n**3 + 46*n as h*n**2 + r*n**3 + b*n + i and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 0 - 5)*(-1 + 1 - m**3) - 6*m**3 + 2*m**3 + 3*m**3 - m**2 - m**3 + 3*m**3 - 4*m**3 + (5*m - 2*m + 0*m)*(m**2 - m**2 + m**2).\nAnswer: 2*m**3 - m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 81421390*g**4 - 230220355 wrt g?\nAnswer: 325685560*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = 4*y**2 - 2*y**3 - 11 - 7 + 9*y + 23 + 0*y**3. What is the tens digit of z(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -64384, -64370, -64356, -64342, -64328?\nAnswer: -64314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 4\/(-15)*15\/18. Suppose -2*j = 4*l, j - 2*j = -5*l. Which is the closest to l?  (a) -2\/3  (b) 4  (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) be the second derivative of 41*y**6\/120 - y**5\/60 - 28*y**3\/3 + 28*y**2 + 25*y + 2. Let a(h) be the first derivative of i(h). Differentiate a(w) wrt w.\nAnswer: 123*w**2 - 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-3)\/2)\/((57\/(-18))\/(-19)) + 5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -6902, -14310, -21740, -29186, -36642, -44102?\nAnswer: -51560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = x**3 + 3*x**2 - x - 4. Let a be b(-2). Suppose 5*j + 2*d = 170, -3*j + 86 = -0*d - a*d. Let u = 14 + j. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = -y**2 - 14*y + 119. Determine n(15).\nAnswer: -316","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 1\/(-2) - 1727991\/18. Round s to the nearest 10000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(768)*-3.\nAnswer: -48*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -66 + 7*v + 66.\nAnswer: 7*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 b and 1 l when two letters picked without replacement from {b: 2, l: 6}?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) be the second derivative of y**3\/6 - y**2\/2 - 16*y. What is u(-5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -345 - -734. Is 39 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4 - 8202*d + 5*d**3 - 14*d**3 + 3.\nAnswer: -9*d**3 - 8202*d + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 9439 and 87?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1404778?  (a) -32  (b) -0.1  (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put -10, -2\/35, 466, 5 in descending order.\nAnswer: 466, 5, -2\/35, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 55670707 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-125)\/(-150)*((-72)\/20)\/(-9).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*f = f. Suppose 202926*x = 202988*x + 186. What is the nearest to f in -2, -8, -12, x?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1750822175?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 22290, 22403, 22624, 22959, 23414?\n\"Answer: h**3 + 48*h**2 - 38*h + 22279","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*c**4 - 57654*c**2 - 8859*c - 3 wrt c?\nAnswer: -24*c**2 - 115308","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-7 + 32\/4)*7. Suppose s*r = -103 + 334. Calculate the lowest common multiple of r and 9.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 131300213 (base 4) to base 15\nAnswer: 261b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 5 and 9422450?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -183*c**4 - c**2 + c + 26947.\nAnswer: -732*c**3 - 2*c + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1668 is divided by 87?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/5, -21, 28.6, -5, -1, 1, 7 in decreasing order.\nAnswer: 28.6, 7, 1, -2\/5, -1, -5, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -1025.1 and -1304.402823?\nAnswer: 279.302823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 2\/3, 868\/5, 3\/290?\nAnswer: 3\/290","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 27 a factor of 1593?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -99.828 - -100. Let t = w + -5.322. Let b = 0.15 + t. What is the closest to 1 in 0, -0.3, b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -2586  (b) 5\/271  (c) -0.5  (d) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((a*(a\/(a*a*(((a**(-21)*a)\/a)\/a)\/a*a*a)*a)\/a)\/a**(-12\/5))\/(a\/a**(-6))**(-21))**(-2\/7) assuming a is positive.\nAnswer: a**(-1704\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 644 is divided by 24.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 2407877496?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 940252279 to the power of 1\/4, to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 11 divided by -364.\nAnswer: -11\/364","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 24*u - 3906 = 210*u for u.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w**(-2\/57)\/(w\/w**(-2\/25)))\/((w\/w**17)\/w**(-2\/45)))**(-19) assuming w is positive.\nAnswer: w**(-63443\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a + 20 = a. Let p be (-130)\/(-14) - 12\/42. Let l be (-4)\/(-18) - (-61)\/p. Solve 3*k - l = -a for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 times 0.037?\nAnswer: -0.074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 314\/(-55) + (-2 - -3) + 4 and -32\/75.\nAnswer: 825","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = -29*a**2 + 3*a - 3. Let s(i) = -532*i - 2657. Let z be s(-5). Let c(j) = 320*j**2 - 32*j + 32. Give z*c(l) + 32*m(l).\nAnswer: 32*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.17 - 0.13. Let d = -0.37 - -0.07. Let h = -0.2 - d. Which is the nearest to h?  (a) -5  (b) -1  (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 - 11 = -4*n. Let y = -1138 - -1140. Solve -4*c = -o - 20, 5*o + y*c + 5 = n*c for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 6342?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h = -4*h + 3. Solve h*g + 5 = -7 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (66\/15 + -4)\/(4\/500). What is the highest common divisor of t and 850?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 4?  (a) -0.39  (b) 1555\/2  (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -59\/2081400 and 43\/277520.\nAnswer: 4162800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((x\/(x**(-1\/11)\/x))\/x)\/x*x**(-4))**(-33)*x**(-4)*x**3*x**3\/(x**(-2\/17)\/x) assuming x is positive.\nAnswer: x**(2246\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) 4.3  (b) -0.44  (c) 2\/3  (d) 3\/8  (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) be the first derivative of -a**3\/6 + 3*a - 2. Let n(s) be the first derivative of f(s). Let k(d) = 2*d - 1. Give 2*k(x) + 6*n(x).\nAnswer: -2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = -k**3 + 38*k**2 - 49*k + 960. Give u(38).\nAnswer: -902","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -31*(-2)\/(-3) - (-3557)\/(-10671).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -49  (b) 0.05  (c) -44  (d) 65  (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -173\/330 and -40\/129.\nAnswer: 14190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = v**2 + 4 - 6*v - v - 5*v + 10. What is the tens digit of t(12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = 2*s - 3 + 3. Let j(q) = -1. Let x(m) = 2*m**2 - 4. Let v(w) = -4*j(w) + x(w). Give v(k(d)).\nAnswer: 8*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = w + 4*w**2 + 2*w - 1 - w. Suppose -4*v + 15 = 3*l, 2*v = l + 2 + 3. List the prime factors of c(v).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -548630*u**5 - 1411830*u wrt u.\nAnswer: -10972600*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2261352265 to the nearest integer?\nAnswer: 1313","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*l + 50 = 4*u, 5*u - 4*l + 19 = 20 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.5967 + 0.50657. Let g = -0.09 - r. What is g rounded to 4 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h - 4342 + 11806 = 3*b, 2*b = 5*h - 18717. Is h a multiple of 192?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + (-2 - (-1 - -1 - 8) - -10).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -65 divided by 37050.\nAnswer: -1\/570","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*v + 643 - 670 = 4*w, -v + 21 = -2*w for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 8 + (-1 + 20 + 4 - -8) + -11 + 22.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*z + 10*z + 3*h + 30 = 0, -35 = -5*z + 2*h. What is the second biggest value in 0.01, -3, 17, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*f - 3039 + 3039)*(f + f - f**2 + 0*f**2).\nAnswer: -3*f**3 + 6*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-5)\/(-20) - (-23)\/4. What is the remainder when (39\/2)\/(y\/8) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -64 (base 10) in base 2?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-1)\/(2\/3)*(-140)\/105. Solve -3*p + 4*w - 4 = 13, 0 = a*p + 3*w for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 1342581882?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -6*o - 2*o - 4*o + 0*o. Let w(i) be the second derivative of -i**4\/6 - 6*i. What is w(p(y))?\nAnswer: -288*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 74\/4 - 482\/(-964).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*-4*sqrt(102) - sqrt(102))*4)\/(sqrt(54) - -2*sqrt(54)*4).\nAnswer: 4*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = 14*b**2 + 2*b - 1. Let o be j(2). Suppose -o - 346 = -s. Suppose 0 = -4*t - t - s. Round t to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -26310 + -231.2216.\nAnswer: -26541.2216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2876570 and 340.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = x**3 + 1120*x**2 - 5627*x + 2. Calculate r(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -1\/4  (b) 9.1  (c) 1  (d) 4  (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express 6*t**2 - 2*t**3 - 1 + 3*t + 5*t**4 - 4*t**2 - 4*t**2 - 4*t**4 as f*t + r*t**4 + l*t**2 + x + a*t**3 and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4245818 is divided by 43?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -g. Let p be a(-2). Let b be (-9)\/(-5) - p\/(-10). Suppose 0 = 2*v + 5*u - 40, 0*u + 30 = v + 5*u. Solve -b = -3*o + 5*m, -4*o - 5*m - v = o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1584 less than 619?\nAnswer: 618.8416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -32302001132 + 2?\nAnswer: -32302001130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in twenty-one fifths of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2808*j - 5297*j - 54758 = 0 for j.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 490 a factor of 5074930?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -259301*d*o**2*x - 32*d*o*x + 2*o**2 + 62*o*x - x - 24749 wrt d?\nAnswer: -259301*o**2*x - 32*o*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 20\/50 - ((-456)\/(-20))\/(-3). Differentiate n*o**2 - 172 - 2*o**4 + 317*o - 8*o**2 - 325*o with respect to o.\nAnswer: -8*o**3 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = n**3 - 9*n**2 - 10*n - 11. Let l(p) = p**3 - 7*p**2 - 16*p - 130. Let x be l(10). Give b(x).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 42*f = 37*f - 165, f = -17*i + 15*i - 43 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -33*s - 388*s**2 + 388*s**2 + 73*s - 21*s**3 + 30*s**3 - 40*s.\nAnswer: 9*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -7 + 12?\nAnswer: b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:42 AM and 7:02 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -24.997 - 0.003. Let v = -19 - p. Let z = v - 5.9946. Round z to 3 dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -6\/11  (b) -1  (c) 7\/6  (d) -1\/8  (e) 12\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 254765 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 948 + -952. Which is the closest to 4\/9?  (a) k  (b) -2  (c) 2\/25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g + 12 = 5*l, 0 = -4*g + l + 4 + 8. Suppose 3*t + 2*x = -2*t + 192, -g*t + 112 = -2*x. What is the remainder when 73 is divided by t?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-90)\/1650*(-22)\/27.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = -u**3 - 6*u**2 - 2*u + 10. Calculate the remainder when 2*(-1 + 89\/2) is divided by w(-6).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-3 + 5)*3\/6 - 298. Let y = w - -511. Calculate the remainder when y is divided by 54.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 65899 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 342 minutes before 9:23 AM?\nAnswer: 3:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 21\/(-36)*(-1)\/(-7).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (14*x**3 + 26*x**3 + 32*x**3)*(2*x - 11*x**2 + 12*x**2 - 6*x).\nAnswer: 72*x**5 - 288*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = -k**2 - 7*k - 5. Let o be v(-5). Suppose o*b - 1 = 3*f, 4*b = -5*f + 24 - 1. What is the highest common divisor of 16 and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5159.\nAnswer: 7, 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 15*((-17)\/(153\/36))\/10?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 68904656 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 1022023 + 1?\nAnswer: 1022030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.2291448267 rounded to four dps?\nAnswer: 2.2291","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.22 + -0.3. Let d = i - 2.92. Let l = -12790 - -12785. Which is the third biggest value?  (a) l  (b) -1\/3  (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-4)\/((28\/8)\/7). Let t be (m\/14)\/((-2)\/7). Suppose -4*k + 0*k + 16 = 0. Solve t*r - k*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2262*b + 2261*b + 9 = 0. Solve -17 = b*p + 1 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 56\/(-336) - 2\/12. What is the third smallest value in -214, t, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 182, 353, 556, 797, 1082, 1417, 1808, 2261?\n\"Answer: i**3 + 10*i**2 + 134*i + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 352\/1280*20*4\/33*90?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 5852 or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (16\/24)\/(6\/(-45)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 71 divide 6160599?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.325586 rounded to two dps?\nAnswer: 0.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 26 a factor of 25111138?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -49.94 - -0.94. Let o = u + 50. Which is greater: 0.07 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1.05 + 15.22. Let k = -14.16341 + o. Round k to three dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find q such that -37*q + 7 + 4*q**3 + 69*q - 71 + 28*q**2 = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = 9*v - 1. Let u be r(-4). Let l = 63 + u. Solve 2*x = -4*w - 14, l = -x + 3*x - 4*w for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7835 - 20095 = -17*a - 21*a. What is the highest common factor of 245 and a?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = b**2 - 2*b + 1. Suppose -4*r + 0*h = 2*h - 16, 5*h = 0. Let j be 2 - (-16 - r)\/(-5). Determine m(j).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 284732448 > 284732451?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1\/((-4)\/((-12)\/(-3)))*-4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 84*i**5 - 14577*i**4 + 198807*i**3 - 744456*i**2 + 357084*i - 45792 = 0. What is i?\nAnswer: 1\/4, 2\/7, 6, 8, 159","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g - 8698 = 4*o - o, o + 4*g = -2904. Round o to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 1*3 - (10 - 7). Solve u = 5*d, c - d + 2 = -3 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = x**3 + 8*x**2 - 47*x + 9. Let s be j(-12). Which is the nearest to 0.1?  (a) -5\/7  (b) s  (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w*w**0*w\/(w**(-1)\/w)*(w**1)**(2\/3)*((w*w\/(w\/(w*w*w**(-3\/7))*w))\/w**(2\/3))\/(w**(2\/7))**(10\/19) assuming w is positive.\nAnswer: w**(103\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -21 + 33. What is the remainder when 34 is divided by x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = x**2. Let f(s) = s**2 + 2*s + 3. Let y(i) = 2*i**2 - 52. Let g be y(-5). Calculate g*u(a) + f(a).\nAnswer: -a**2 + 2*a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = 4*h + 20. Determine s(-8).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 362 - 228. What is the remainder when j is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-61)\/(1830\/(-20)))\/((-4)\/26).\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put together 29293 and -51.71.\nAnswer: 29241.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from yjyky. What is prob of sequence yjky?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: (-45)\/((9 + -29 - -19)*1)\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.3 + -0.5. Let n = 66\/7 - 10. Which is the nearest to -0.1?  (a) -2  (b) n  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 17 + -21 + -19 + 1 + (-69 - -79)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) be the first derivative of 24 - 1\/9*l**3 - 100\/3*l + 10\/3*l**2. Factor k(a).\nAnswer: -(a - 10)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) be the third derivative of 1\/48*f**8 + 7\/24*f**4 + 0*f**3 + 0 + 0*f**5 + 0*f**7 + 0*f**6 - 7*f**2 + 0*f. What is the second derivative of d(p) wrt p?\nAnswer: 140*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 629093 to the power of 1\/2, to the nearest integer?\nAnswer: 793","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -112.7508666 rounded to the nearest ten?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 + 0 - 3)*(p - p - p**2)*(-185 - 43 + 109).\nAnswer: 119*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-312)\/(-12))\/(-13)*1\/12. What is the nearest to 0.4 in -2\/3, u, 3, 5\/3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = g**3 - 8*g**2 + 23*g - 26. Let j be d(4). Suppose 8 = j*u - c, 0 = 5*u - 2*c - 0*c - 20. Solve 8*r - u*r - 4 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: d52d (base 15) to base 13\nAnswer: 1766b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(152) + 1*sqrt(152))\/sqrt(8) - sqrt(190)\/(sqrt(40)\/sqrt(4)))**2 + 2.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 170\/(-3400)*2*16*(-5)\/(-12)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -8 - -8.2. Let y = -1.2 + h. Put y, -2, 0.2 in ascending order.\nAnswer: -2, y, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 97 + -93. Let q = 1 + -1. Solve -o = c - 4, c - 3*o + 2*o + m = q for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c and 3 h when four letters picked without replacement from hfcfhhfhh?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 1\/4 of a minute?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 661, 1330, 2005, 2686, 3373, 4066, 4765?\nAnswer: 5470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -5 + 2 - (101 - 94) - (16 + 72)\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 519*3723\nAnswer: 1932237","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3 + 3 + 6*i**5 + 7*i**2 - 4*i**2 wrt i?\nAnswer: 360*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 6\/(27\/(-10) + 3). Suppose 0 = 8*s - 3*s - a. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 11510 and 0.3.\nAnswer: 3453","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m**9)**40*(m*m*m\/(m\/(m*m**0\/m)))**(6\/11))**(2\/23) assuming m is positive.\nAnswer: m**(7944\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 26*q**3 - 20*q**3 + 0*q**2 + 0*q**2.\nAnswer: 6*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find k, given that -6 + 4*k + 1 + 9 - k**3 - k**2 + 0 = 0.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 3, 0.3, -2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*k + 2*k + 270 = 0. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1148 and 308.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -26.780405 minus -0.3?\nAnswer: -26.480405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -86 + -b?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-37996)\/413*((-4)\/(-28))\/(50\/(-35)).\nAnswer: 46\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z = 188*k - 190*k - 7, 4*z + 4 = -4*k. Let l be (-134 - -18)\/((1 - 1) + -1). Calculate the highest common divisor of l and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 22247?\nAnswer: 22247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -167 + 167. Suppose c = -9*p + 4792 + 2804. What is the hundreds digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = z + 17. Suppose -3 = -r + 4*d, -2*r + 2 = -5*d - 7. Let s(h) = -h - 18. Let m(w) = r*g(w) + 6*s(w). Let u be m(-5). Solve -a = -u*a + 20 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 238 minutes before 9:05 PM?\nAnswer: 5:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 25 a factor of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o - o + 51 = 0. Suppose 0 = 4*k + o - 149. Does 11 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(605) - (-2*sqrt(605) + -1)) + 1 + (sqrt(605) - (sqrt(605) + 0)))**2*4*3 + 1)*2.\nAnswer: 3168*sqrt(5) + 130778","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2*4\/(-120))\/(2\/4).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-6)\/(-8))\/(-9 - 1023\/(-88)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 33*m = 18*m - 30. Let c be (-6 - -14) + (m - -105). Calculate the greatest common divisor of 37 and c.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5148\/2992*(-4)\/(-30) + (-1)\/5?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) be the third derivative of -l**5\/6 + l**4\/6 + 2*l**3\/3 - 41*l**2 + 2*l. Let m(f) = -10*f**2 + 5*f + 5. Give -4*m(r) + 5*z(r).\nAnswer: -10*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -1770 times -19?\nAnswer: 33630","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 117 + -160. Let a = -33 - b. Solve -c + 4*c + 22 = -5*w, c = -3*w - a for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = -3 - 3 - 3*b + 3 - b**2. Let i be s(-3). Let j(k) = -k**2 + k - 8. Let q(m) = 3*m**2 - 2*m + 23. Let z(n) = 17*j(n) + 6*q(n). Determine z(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 12\/(-14)*(-1)\/(-2). Let o = 14002 + -14005. What is the third biggest value in o, 1\/2, m, 1\/3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 493780319 to the nearest integer?\nAnswer: 790","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y + 4*m - 265 = m, 4*m = 0. Suppose 28*z + y = 277. Solve 0 = -2*w - 10 + z for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 2\/40*45\/54. Let d(i) be the third derivative of -2*i**2 - o*i**4 + 0 + 0*i**3 + 0*i + 1\/30*i**5. Find the second derivative of d(w) wrt w.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g + 4*g - 13 = -3*c, 3*c - 46 = -5*g. Let i(x) = -x + 15. Let u be i(g). Suppose -b + u = -3*b. Let y(a) = a + 1. Calculate y(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 11470477*u**2 - 3993459?\nAnswer: 22940954*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = 5*l, 5*d - 4*l + 1 = -0*d. Let x = -7 - -12. Suppose -2 - x = -7*k. Solve d = -2*b + k for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 289*d - 627*d + 282*d + 8*d**2 as q*d**2 + b*d + v and give q.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 12483403 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*f - 126 - 42 = 0. Calculate the greatest common divisor of f and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -453*m**4 + 11755*m**2 + 18767962*m.\nAnswer: -5436*m**2 + 23510","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 152892 and 708?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 615*x = 5*v + 616*x + 20, -4*x - 12 = 3*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.4 + -0.6. Which is the nearest to -2\/5?  (a) 0.3  (b) q  (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 62\/(2\/1) + 68\/17. Suppose 3*w - 3756 = -3*y - 2*y, y = 2*w + 746. Let c be ((-196)\/r)\/(4\/y). Round c to the nearest one hundred.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 u and 1 n when two letters picked without replacement from {x: 7, a: 1, u: 8, n: 2}.\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -101220 (base 4) in base 16?\nAnswer: -468","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of (-91410)\/(-550) - (2\/8)\/(10\/8) and 226?\nAnswer: 18758","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 315 and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) be the second derivative of i**3\/6 - 3*i**2\/2 + 6*i. What is v(-3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 3118 - 3008. Calculate the lowest common multiple of 220 and t.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -3, -48, -30, -0.03, -4, 0, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"}
{"text":"Question: Let d = 50 - 69. Which is greater: d or -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g**8\/(g\/g**(3\/2))*g**(1\/15)*g\/(g\/g**(-1\/4))*g)**(1\/31))**(-49) assuming g is positive.\nAnswer: g**(-27391\/1860)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 4.2 - 9.2. Let m be (4\/(-32)*10)\/(2\/(-8)). Which is the second biggest value?  (a) z  (b) m  (c) -4\/3  (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*c = 6*l - 11*l + 7, -4*l = 3*c - 24 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -32 + 32 + 2*k + (2 - 2 + 1)*(k - k - 6*k) to r*k + h and give r.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = 2*u**2 - 37*u + 144. Let t be k(0). Suppose -4*r + 4*q + 120 = -r, 0 = 5*r - 4*q - 192. Calculate the highest common factor of t and r.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x = -2*x - 42. Let d = -7 + x. Suppose 4*v - d - 53 = 0. What is the highest common divisor of 5 and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 158.000127 - 158. What is t rounded to 5 dps?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) be the third derivative of -3*k**5\/40 - 43*k**3\/6 + k**2 + 12*k. Let o(d) be the first derivative of v(d). Determine o(-3).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 1  (b) -733  (c) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -34918, -20164, -5408, 9350, 24110, 38872, 53636?\n\"Answer: j**2 + 14751*j - 49670","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -3*i**2 + 6*i - 8. Let a be b(5). Let c = -24 - a. What is the smallest common multiple of 2 and c?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 64239 is divided by 12797?\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*o - 10 = 4*r, -5*o - 14 - 6 = 5*r for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (20\/(-8))\/((-10)\/8). Let k be t + (4 + -5)*-1. Let j be 6\/(-4)*(k - 5). Solve m + 0 - j = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -a + r + 1 = 0, -4*r - r - 13 = -3*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -60 - -60. Suppose m = 80*v - 82*v + 88. What is the smallest common multiple of 12 and v?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.4253 + -0.0253. What is the closest to 1\/3 in k, 0.2, -2\/13, 80?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = -277*t**3 - 12*t**2 - 42*t - 134. Is y(-13) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) be the first derivative of 7\/10*f**5 - 1\/12*f**6 + 0*f + 3\/2*f**3 - 5 + 0*f**2 - 15\/8*f**4. Suppose x(i) = 0. Calculate i.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -9.7  (b) 0.5  (c) 34  (d) -2\/13  (e) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 70651138957 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (201*w**2 + 8*w**3 - 201*w**2)*(-2 - 2 + 3)*(3 - 4 - 1) - 4*w**3 + 2*w**3 - 2*w**3 to n*w**2 + r + q*w**3 + z*w and give q.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p = 8*k - 18 - 23, -5*k + 24 = p. Suppose 4*z + 256 = -2*t + 7*t, -t - 3*z = -36. Calculate the lowest common multiple of t and k.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in 5, -20, -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 58.3 - 58. Which is the third biggest value?  (a) y  (b) -2\/5  (c) 0.5  (d) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2068?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -0.25 - -5.19\nAnswer: 4.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is -112\/15 < 228?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -6*2*(-1)\/(-3). Let o be (d + 4)\/(0 - 2). Suppose o = 4*s + 3 + 5. Is -4\/5 equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 35\/(-40) - (-2)\/(-16)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 922 a factor of 1720261?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -168129*m**2 - m + 89852 with respect to m.\nAnswer: -336258*m - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 13362?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = -x**2 - 7*x - 4. Let w = -23 - -28. Suppose 2*j + 41 = -5*o, j + 18 + 20 = -w*o. Give b(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 45 divide 10395?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (1 - -2) + (-2 - -2). Let j(t) = 2*t**2 - 2*t. Let q be j(2). Suppose -q = -2*d - 2. Solve -2*k + h*k - d = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2682 bigger than 2682?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 18\/(-5)*2945\/(-62). Let f be 0 + k\/(-58) + (2 - -1). Is 0 > f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -80.04 + 78. Let x = 3 - 2.96. Let g = k + x. Are g and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 35 and 4625985?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = 2*s. Let i(w) = -w. Let p(z) = 5*i(z) + o(z). Let k(y) = y - 1. Calculate -2*k(n) - p(n).\nAnswer: n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) be the second derivative of -19*y**5\/5 - 40*y**4\/3 - 46*y**3\/3 - 4*y**2 - 38*y. Let g(v) = 0. Calculate v.\nAnswer: -1, -2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u\/u**13)\/(u\/((u**(-6\/17)\/u)\/u)) assuming u is positive.\nAnswer: u**(-261\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 3 + (-6)\/(-3 - -1). List the prime factors of (56\/d - -6)*12.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = -52319548*v - 705144. Let c(x) = -5342*x - 72. What is -58762*c(p) + 6*f(p)?\nAnswer: -10684*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = -67*a**2 + 6*a - 49. Let s(p) = -202*p**2 + 19*p - 146. Let g(z) = 17*r(z) - 6*s(z). Is g(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -6 + 19. Suppose -3 = -u + 6. Let y(m) = -3 + 4 + 8*m**2 + 0 + 4*m - u*m. Let i(z) = 17*z**2 - 11*z + 2. Determine f*y(h) - 6*i(h).\nAnswer: 2*h**2 + h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 35 - -12. Let f = 48 - 20. Let p = t - f. Solve 4*j + 13 = -0*j + 5*x, -2*x = 3*j - p for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/9, -14759, 17, -56, -0.3 in ascending order.\nAnswer: -14759, -56, -0.3, -2\/9, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 5 - -104331345?\nAnswer: 104331354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*k + 79 + 81. Calculate the remainder when k is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 342 and 162.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v - 54 = 6. Let x = v - -15. Suppose 234 = 3*a - o, -x*a = -7*a + 4*o + 304. Is a a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from cocguxocoouucjc?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bsbwwbewwbgrw. Give prob of picking 1 w and 2 e.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.07 times 3069?\nAnswer: 214.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 7.7 - 8. Let p be ((-78)\/(-65))\/((-10)\/50*1*14). What is the smallest value in x, -3\/4, p, 2?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 400 minutes before 2:16 PM?\nAnswer: 7:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 20  (b) 2\/3  (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 63409322 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v = -3*p + 120, -3*v + 3*p + p - 335 = 0. Let g be 35\/v*-2*6\/(-16). What is the nearest to 6 in -7, g, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 31\/57 - (-304)\/(-1444). Let n = -5.09 + 0.09. Suppose -2 - 2 = 2*q. Which is the second smallest value?  (a) v  (b) n  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify b**25\/(b**(-15)*b*b) assuming b is positive.\nAnswer: b**38","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 7, g: 7}. Give prob of picking 2 g.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1*(1 - 16\/10 - (-3366)\/(-765)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*v**3 - 16536*v**2 + 1706307*v - 16772514.\nAnswer: 3*(v - 5407)*(v - 94)*(v - 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6\/(-60)*-5*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9462093 is divided by 303.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 49.45 rounded to zero decimal places?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -1*(2 - 0)*(-15)\/6. Put 3, 42, m in descending order.\nAnswer: 42, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 41*q**2 + 3*q**4 + 3*q**2 + 17*q + q**2 + 22 - 47*q + 30*q**3 - 70 = 0. Calculate q.\nAnswer: -8, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-42*n - 13*n + 14*n)*(3*n**3 + n**2 - n**2) + 12*n**4 + 36 - 36 as y*n**4 + t*n**2 + z + r*n + p*n**3 and give y.\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 474552839473 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 586868 and 688932?\nAnswer: 15845436","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 962 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -196, -78, 42, 164, 288, 414?\n\"Answer: i**2 + 115*i - 312","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) be the third derivative of h**6\/120 - h**5\/12 + h**4\/12 - 5*h**3\/6 - 101*h**2. Suppose 4*d = 32 - 12. Give u(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 768.595ng in micrograms?\nAnswer: 0.768595","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: (35*9\/75 - 5) + (-44)\/(-110)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -74 in 6, 3, 0.1, 3\/7, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is (-20 - (-350 + 360 - (1 - -12))) + 9?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = -572*f**2 + 121. Let x(z) = 19*z**2 - 4. Let h(p) = 4*j(p) + 121*x(p). Let u(q) = -2*q**2 - 4*q. Calculate u(h(i)).\nAnswer: -242*i**4 - 44*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 222 and 172.\nAnswer: 19092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express -2313*v**3 + 390*v**2 + 4628*v**3 - 2313*v**3 in the form s*v**2 + z*v + d + n*v**3 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = -2 - 3*k**2 + k**3 - 4*k**3 + 7*k**2 + 4*k**3. What is the units digit of z(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-3)\/(2 - 0 - 3). Let z(j) = 5*j**2 - 3*j - 4. Let k(u) = 6*u**2 - 4*u - 5. Determine y*k(d) - 4*z(d).\nAnswer: -2*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 604597605?\nAnswer: 3, 5, 17, 97, 24443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3*n**3 + n**3 + 16*n**3)*(1 - 3 + 0) in the form x*n + r + f*n**3 + p*n**2 and give f.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-6 - 18) + -4 + 13 + 2?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 3, -3, 5700 in descending order.\nAnswer: 5700, 3, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 1631 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: Factor 5*i**3 + 5190*i**2 - 1158575*i + 1153380.\nAnswer: 5*(i - 188)*(i - 1)*(i + 1227)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = -14*d + 8*d + 7*d + 5. What is f(-6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from eexexxehhhhehkkhbh. Give prob of sequence he.\nAnswer: 35\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.3 in 0, -0.5, -0.024, -1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4222941246?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (19*x**3 - 97*x + 97*x + (13 - 13 - 2*x)*(-3*x**2 + 0*x**2 + 0*x**2))*(4*x + 3*x - 5*x).\nAnswer: 50*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0.343609067954 and -0.3.\nAnswer: 0.043609067954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 6cd67 (base 16) to base 14\nAnswer: b866b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2447238268?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.96 + -0.04. Let t = -0.5 - v. Let p = 2.5 + t. Which is the third biggest value?  (a) 0  (b) -2  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*f - 3*f = 0. What is the remainder when 35 is divided by 11 + -2 + f + 3?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) be the second derivative of 16*v**7\/21 + 8*v**6\/3 + 5*v**5\/2 - 5*v**4\/6 - 5*v**3\/3 + v**2 + 56*v. Determine k, given that d(k) = 0.\nAnswer: -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:42 AM and 5:01 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -26 + 5035*x**3 + 29 - 97*x - 11608*x**3 - 9*x**2 - 4585*x**3 + 119*x wrt x.\nAnswer: -66948","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -k**5*z - 1323*k**5 - 127*k*z + 3*k - 6*z wrt k.\nAnswer: -20*k**3*z - 26460*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1152 is divided by 565.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -23 and -143\/474?\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express -2 - 2*i + i**3 + 5*i + 9*i as h*i**3 + j*i**2 + b + y*i and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.3 + 2.7. Let j = -1919 - -1924. What is the closest to -1 in 9, j, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 3, m: 1, u: 2, v: 1, k: 3}. What is prob of picking 3 l and 1 k?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 783 - 752 = -2*n - 3*k, n + 23 = -4*k for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f - 35 - 105 = 0. Suppose -f = -3*z + 134. Is 18 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = -n**3 + 5*n**2 - 3*n + 4. Let w(d) = -1. Let x(p) = 3. Let r(z) = -5*w(z) - 2*x(z). Let g(j) = m(j) + 3*r(j). Give g(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -5.4 + -2.9. Let r = x - -8. Let j = -112 + 114. Which is the closest to r?  (a) 0.2  (b) j  (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 8\/(3*(-2)\/(-3)). What is the units digit of -16*(1 - 3)\/r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 130 + 174613?\nAnswer: 174743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -4 + 0 + -92*13. Calculate the common denominator of (-2415)\/g - 1\/5 and -69\/20.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w**3 + 16*w**2 + 36*w = 0. Calculate w.\nAnswer: -2, 0, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d + 3*q + 13 = 1, 0 = -3*d + 2*q + 29. Suppose -48 = -d*s - 7*s. Solve 5*y + 22 + s = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = t**2 + t + 14. Determine i(3).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*q**2 + 21*q - 199*q + 84*q - 13 + 94*q.\nAnswer: 2*q**2 - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 45656082 to the nearest integer?\nAnswer: 6757","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is -939\/2 equal to -470?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 309774 to the power of 1\/2, to the nearest integer?\nAnswer: 557","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from eieieiieeiiiexiieii. What is prob of picking 1 e and 1 x?\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-14)\/(-140))\/(3\/((-15)\/(-2))).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 435006276 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -61860*k**4 + 120149*k**2?\nAnswer: -1484640*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 111.049785 nanoseconds in weeks?\nAnswer: 0.0000000000001836140625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h = 3*b - 351, 0 = -4*b - 4*h + 6*h + 468. Let r = b - 115. Let z(n) = -21 - 11 + 26 + n**2 + r*n. Determine z(-6).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 357466471 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1*(sqrt(77)\/(sqrt(35)\/sqrt(5)) + 3) + (sqrt(2673) - (sqrt(2673)*1 + sqrt(2673)) - sqrt(33))\/(sqrt(3) + sqrt(768)))*6)**2.\nAnswer: 1512*sqrt(11)\/17 + 113040\/289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -375.080456 rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 262778.\nAnswer: 2, 83, 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.524 take away 5?\nAnswer: -6.524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*b + 3*v + 13, 0*v = -3*b - 2*v - 3. Suppose -16 = -j + 4*l, 2*l = -7 + b. Calculate the lowest common multiple of j and 9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (0 - 5) + (18 - 13) - -5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 294, 809, 1540, 2487, 3650, 5029, 6624?\nAnswer: 8435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-43)\/((-1118)\/156) + (-29 - -2).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = 10*u**2 + 20*u - 242. What is the tens digit of j(-15)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 2\/3  (b) -40\/9  (c) -2\/3  (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2678*t - 2676*t - 5*y - 8, t - 28*y = -47 for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 16 - 16 + 38*u**2 + 26*u**2.\nAnswer: 64*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -9671 or 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -6077 + 7400. Is 27 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 722784?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2*-2*51*6\/(-75)*(-18050)\/4332?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = -w**2 + 3*w + 19. Let y = 46 - 49. Let u be l(y). Let c(o) = 2*o**2 + 4*o + 2. Let v be c(-2). Calculate the highest common divisor of u and v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n = -2*g - 48, 0 = 3*g + 9 - 3. Suppose -3*y + n = 4*m, -2*y + 0*m + 4 = 2*m. Is 4 a factor of (-2)\/y + 30\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*2*sqrt(104) + (sqrt(104)*1*6 - sqrt(104) - sqrt(104)))*-5)\/(-6*(sqrt(1152) - (sqrt(1152) - sqrt(1152)*-2*-1))) + 3.\nAnswer: 5*sqrt(13)\/72 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Determine p, given that -2*p**5\/9 + 58*p**4\/9 - 104*p**3\/3 - 1792*p**2\/9 + 2048*p\/9 = 0.\nAnswer: -4, 0, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor -132*x**2 + 530252*x - 32136.\nAnswer: -4*(x - 4017)*(33*x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 22*c - 25*c - 2)*((2 - 2 - 2*c)*(0 - 1 + 3) + (-1 - 2*c + 1)*(1 - 2 + 2) + 2*c - 2*c - c).\nAnswer: 21*c**2 + 7*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 91 - 283534?\nAnswer: -283443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -202017, -202016, -202015, -202014?\nAnswer: -202013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -759459 > -759440?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.002881338591 rounded to 4 decimal places?\nAnswer: 0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -1 divided by -7105048\nAnswer: 1\/7105048","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 70\/3 - 24. Let i = -1004.7 + 942. Let j = i - -62. Do j and v have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 118 - 216. Let c = -93 - d. Sort 0.14, c, 3\/7 in increasing order.\nAnswer: 0.14, 3\/7, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 596 minutes before 2:06 PM?\nAnswer: 4:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -7\/2  (b) 244  (c) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -386 and -0.5.\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1660 = -82*f + 22 - 904 for f.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = u**2 - 7*u - 13. Let l be g(9). Suppose -4*p = -p + l*b + 36, 0 = -2*b - 6. Let t = 44 + p. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = -26*r + 5. Let t be q(0). Let w be 8 - (t - 319)\/1. What is the highest common factor of w and 138?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = -4*k**2 - 23*k + 41. Let g be j(-6). Is g greater than or equal to 25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 629310252*u**2 - 842365148?\nAnswer: 1258620504*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 2 - 0.9. Let t = v - 0.1. Let h = -1.3 + t. What is the closest to 1 in 0.1, h, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.2 in -847, 0.2, -16, -12?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l = -4*g, g - 6 = -2*l + 2*g. Suppose 2*h - 3 = -3*a, -1 = -h - l. Solve 3\/4*q**2 + 3\/4*q**a + 0 - 3\/4*q - 3\/4*q**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = -i**2 + 17. Let f be k(-3). Let s = -4 - -6. Solve 2*r + f = s for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 25 - 54. Let o = 31 + q. Find the second derivative of -11*u - 13*u - o*u - 34*u**3 wrt u.\nAnswer: -204*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = y**3 + 4*y + 5*y**2 + 0*y**2 - y**2 + 3. Let o be a(-3). Solve o*w - 4 = 4*j - 3*w, -4*j - 5*w - 36 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*sqrt(80)*-2 + -4*sqrt(80)*3)\/((-1*(sqrt(32) + sqrt(64)\/sqrt(2)))\/(sqrt(512)*3)))**2.\nAnswer: 184320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/2 in -1, -597.3, 1\/3, 1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1730 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: Let z(u) = u**3 - 6*u**2 + u + 13. Does 3 divide z(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -192 = -2*g - 172. Solve -a + g = -x + a, 2*x + 4*a - 12 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 29429 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by 2866?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 537.\nAnswer: 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 4174264 and 8720.\nAnswer: 872","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = -5*m - m + 1 + 4*m + m. Let b be o(-4). Sort 4, b, -5 in increasing order.\nAnswer: -5, 4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1887153 rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 1, r: 3, v: 1}. What is prob of sequence rv?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 403 or 114.5266?\nAnswer: 403","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2.101 or -1?\nAnswer: -2.101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 16 and 58.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = 4528*t - 16. Let m(i) = 226393*i - 804. What is -4*m(y) + 201*o(y)?\nAnswer: 4556*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6015 (base 8) to base 6.\nAnswer: 22141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 258021.\nAnswer: 3, 28669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4 by 22101.\nAnswer: 4\/22101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = 58*h**2 + h - 75. Let d(w) = -w**2 - 2*w + 2. Let p(n) = -d(n) - i(n). What is the second derivative of p(u) wrt u?\nAnswer: -114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5 + 15 + -19 + 2 + 1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t + 3*m + 10 = 0, 2*t + 5 = -5*m - 11. Solve -36*s + 11 + 15*s**2 - s**4 - 20*s**t + 10*s**2 + 9 + 12*s**2 = 0.\nAnswer: -5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 85016*a**3 + 6*a**2 + 5027*a wrt a.\nAnswer: 510096","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {y: 4, b: 2, z: 1, h: 7}. What is prob of sequence yhzb?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -13597 + 13597. Let m = 8 - 7.7. What is the closest to -1\/2 in 1\/5, k, m?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -1, 5, 71, 0 in ascending order.\nAnswer: -1, 0, 4, 5, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 321 minutes after 1:21 PM?\nAnswer: 6:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 889444 and 10?\nAnswer: 4447220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (48\/(-88))\/((-69)\/3289).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -2 times 1579\nAnswer: -3158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(sqrt(52) - (sqrt(156) + (sqrt(156)*-2 - sqrt(156)))\/sqrt(3)))\/(sqrt(64)*2*-6).\nAnswer: -5*sqrt(13)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 2500\/7 + (-3 - (-80)\/28). Suppose -43*w + 164 + 567 = 0. What is the highest common divisor of w and y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -7*j**3 + 102*j**5 + 7*j**3 - 3*j + 12*j**2 + 0*j**2 + 53*j**5 wrt j?\nAnswer: 9300*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = -q. Give u(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = 2*n**2 - 11*n + 31. Let p be d(4). What is the second derivative of 7 - p*o**3 - 12*o**3 - 2 + 6*o wrt o?\nAnswer: -186*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(-7))**6 assuming n is positive.\nAnswer: n**(-42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i - m - 4*m = 172, 0 = 2*i + 3*m - 344. Let r be (2\/(-4) - -1)*i. What is the third derivative of -12*b**6 + 2*b**2 + 86*b + 4*b**6 - r*b wrt b?\nAnswer: -960*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -649 + 237. Let v = -401 - s. Solve -v + 14 = -f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2959904 take away -22041?\nAnswer: -2937863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -123 - -126. Suppose p - w = -0*w, 0 = -z*p + 2*w + 4. Let k(h) = -h + 6*h - h**2 + h - p*h. Give k(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m + 2 = 5. Suppose y - 1 = r, -2*y - y - 2*r = -18. Let i(z) = -z**3 + 2*z**2 - 4*z + 45. Let w be i(y). Put 4, w, m, -5 in descending order.\nAnswer: 4, m, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1)\/(2\/5*18\/36)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 6 - 10. Suppose -6*s + 7*s + 3*x = 0, 0 = s + 4*x. Sort -3, o, s in decreasing order.\nAnswer: s, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = -2098*y**2 - 65*y - 1. Let p(l) = -351*l**2 - 10*l. Let w(m) = -13*p(m) + 2*r(m). Let o(i) = i. Calculate w(o(d)).\nAnswer: 367*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 73 is divided by 26.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Add -0.3 and -22.\nAnswer: -22.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = 2*k**3 - 23*k**2 + k + 130. What is the units digit of i(15)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*v**2 - 16*v + 16*v + (0*v - 2*v - 3*v)*(4*v - v - 5*v) + 0*v**2 - 6*v**2 + 4*v**2 in the form y*v**2 + f*v + p and give y.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = 7484*i. Let x(w) be the first derivative of -w**2\/2 + 5875. Give x(y(j)).\nAnswer: -7484*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = i**3 - 5*i**2 - 7*i - 21. Let y be l(7). Let j = 31 - y. Suppose 0 = -j*d + 15, -2*u + d = 5*d - 108. Is 7 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.518448262 rounded to two dps?\nAnswer: 0.52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = o**3 + 6*o**2 - o + 1. What is the remainder when b(-6) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2.9 + -3. Suppose 1 = -l - 1. Let g be 18*2\/20 + l. Which is the nearest to d?  (a) 2\/11  (b) -4  (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 363 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from nhffnffiz. Give prob of picking 1 z and 1 n.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:58 AM and 5:42 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 12933 is divided by 106?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 187.1 + -186.1. What is the smallest value in 2\/11, o, 48, 0.3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 210675551?\nAnswer: 5039, 41809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -7253313, -7253285, -7253257?\n\"Answer: 28*k - 7253341","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 604804 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 1906607 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 761*j - 24*j + 2 + 6*j**2 - 1 + 943*j + 0*j**2.\nAnswer: 6*j**2 + 1680*j + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from bqckcccpckqckppaap. What is prob of picking 1 c, 1 k, 1 p, and 1 b?\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -104674, -104664, -104646, -104620, -104586?\n\"Answer: 4*g**2 - 2*g - 104676","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 438.0326 millennia in centuries?\nAnswer: 4380.326","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 455*z**2 + 3 - 2 - 6.\nAnswer: 455*z**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -371, -265, -93, 139, 425?\n\"Answer: -z**3 + 39*z**2 - 4*z - 405","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = -r**2 + 7*r - 4. Let o be ((-9)\/6)\/((-1)\/4). Let z be t(o). Suppose 6 + z = 4*x. What is the greatest common factor of x and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (39 + 34 - 35) + -49.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -56 - -6?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 80365 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s - 14 + 5 = 0. Let d(l) = -l - 9. Let x be d(-4). Put x, s, 4 in decreasing order.\nAnswer: 4, s, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 32511*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve h - 2*d = 11, -82227*h + 19*d + 52 = -82220*h for h.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*i + 0*i + 4*i**2 - i**2 + i**2 + i**2 - i**2 + i**2 + 2*i**2 + (2*i + 0*i - 4*i)*(3*i + 2*i - 3*i) + 2*i**2 + i**2 + 0*i**2.\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -29837*o**3*x**3 + 126887*o**3*x - 3*o**2*x**2 - 2*o*x**6 - x**2 wrt x?\nAnswer: -179022*o**3 - 240*o*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 6342304641 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: Suppose -5*a - 208 = -6*a - 4*r, 0 = -5*a + r + 1103. Is 44 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-2)\/(-8) - (-46)\/8. Calculate the common denominator of (-94)\/l + -5 + 7 and 349\/70 + (-8)\/28.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.5, 5, -2\/3, 643\/192 in increasing order.\nAnswer: -2\/3, 0.5, 643\/192, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = -o**3 - o**2 - o - 1. Let c(x) = 26 - 7*x**3 - 8*x - x**2 - 33 - 5*x**2. Calculate -6*a(d) + c(d).\nAnswer: -d**3 - 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1520, 1387, 1252, 1115?\nAnswer: 976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -326\/3 - -3574\/33. What is the closest to -0.1 in -29, 13, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 46, 448, 1582, 3826, 7558?\nAnswer: 13156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-6 - -2)*15\/(-12). Solve 0 = -m*f - 4*t - 0*t - 15, -7 = -2*f + t for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = -m**2 - 8*m - 12. Let q be s(-5). Suppose 2 - 1 = c - 3*j, q*j + 2 = 2*c. Solve 5*g = k - 2, 5*k = 3*g + c + 9 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -472766 - 607234. What is g rounded to the nearest 100000?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:40 PM and 2:48 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = -k**3 - 12*k**2 + 83*k + 27. Is s(-38) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -19 - -52. Suppose -d = 5*w - 4*i, -3*i - i + 23 = -3*w. Let k = 3 + w. Let q(z) = 3*z + 3. Give q(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s = 8 - 42. Suppose f - 6 = s. What is the greatest common factor of f and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = -36*c - 42. Let i(f) = -5*f - 6. Let v(g) = -14*i(g) + 2*t(g). Let s(a) = 6*a + 172. What is s(v(l))?\nAnswer: -12*l + 172","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 3835560 divided by -767112\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 2 - 6\/7*2. Let t = 153 + -256. Let n = t - -98. Sort n, 5, j.\nAnswer: n, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i\/i**(9\/5)*i*i*(i*i**(1\/7))\/i*i*i\/(i**(-14)\/i)*i\/((i\/((i**(24\/7)\/i)\/i*i))\/i) assuming i is positive.\nAnswer: i**(762\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 21*q**5 - 3*q**3 - 175*q**2 wrt q?\nAnswer: 1260*q**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = d**2 - 9*d + 16. Let h be w(7). Solve h = -0*k - 2*k - 2*n, -5*n = -15 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 392353978?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1 + 4. Suppose 3*d + 0*d - 6 = 0. Suppose -d*m = 4*x - 1 - 3, 4*m - 2*x - 18 = 0. Solve -2*t = 0, m*p + 0*p - 16 = -i*t for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 24\/(-78)*1\/(-2).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qupppqqpupuuu. Give prob of picking 1 q and 1 u.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -1 - -64?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k + y = 23, 5 = y - 0*y. Let m be 31\/2 - 9\/k. Suppose -3*d = -8*d + m. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*p - 5*z + 50 = 0, -5*z + 65724 = 2*p + 65665 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1 * 11074.\nAnswer: 11074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (535 - 5627 - 424 - 2652)*(-1 - g**3 + 1).\nAnswer: 8168*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*p - 69*p**2 - 68*p**2 - 3*p + 148*p**2 + 2*p.\nAnswer: 11*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6370*h**3 - 6304*h**2 + 70*h + 4 = 0.\nAnswer: -1, -1\/49, 2\/65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = f + 1. Let h be o(4). Suppose 5*j - 26 = -2*l, -h*j = -7*l + 4*l - 11. Solve 0 = g - l*g - 10 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (0 - 7\/28)*8*14\/4?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:11 AM and 9:01 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is three eighths of a millennium in years?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 58\/7 + -568\/77. Suppose 3*n - s - 20 = 0, -s + 19 - 4 = 4*n. Let o be 1 - 4\/n - (-27)\/15. Is o <= k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 4 and 6875529.\nAnswer: 6875533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 6\/39689 at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 20 and 214?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 919250145?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(-4 + (sqrt(22)\/sqrt(2) - sqrt(11)) + (sqrt(11) + 4 + sqrt(11) + 0)**2 + (sqrt(704) - 3*sqrt(704))**2 + sqrt(11) + 0).\nAnswer: 34*sqrt(11) + 5744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -g = 6 - 2, 5*g + 16 = 4*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.04, -30, -0.1, -2896, -0.5.\nAnswer: -2896, -30, -0.5, -0.1, -0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 6 + -3. Suppose -2*r + 4*s = -8, -u*r - s = -0*r - 33. Suppose 2*h - 18 = r. What is the greatest common factor of h and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 3927462368?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -779 + 6*q**3 - 364 + 116*q**4 - 35*q**4 wrt q?\nAnswer: 324*q**3 + 18*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d = 4*l - 29, -12 = -3*l - 0*l + d. Sort 0, l, 2 in descending order.\nAnswer: l, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1.14 - 1. Let a = -0.04 + k. Let q = -5\/14 - 1\/7. Is a bigger than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (9972306\/(-24710))\/(1 - 51). Let b = k + -2\/44125. Let c = -259817\/107844 - -1\/9804. Find the common denominator of c and b.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = 354*c**2. Let y(s) = -3*s - 7. Let g(u) = u + 2. Let n(q) = 7*g(q) + 2*y(q). Give n(w(k)).\nAnswer: 354*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 4327 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9918 = -225*i + 1327*i for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*g + 4*z = 4*g - 40, 3*g = -4*z - 34. Let s be ((-4)\/18)\/(3\/g). Factor 2\/3*n**4 - 2\/9 - 2\/9*n**5 + 2\/3*n - 4\/9*n**2 - s*n**3.\nAnswer: -2*(n - 1)**4*(n + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w**11*w**(-2\/55)*w*(w\/(w*((w**(2\/11)\/w)\/w)\/w*w))\/w*(w*w\/(((w**(-2\/13)\/w*w)\/w*w)\/w))\/w assuming w is positive.\nAnswer: w**(10679\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert -112bd (base 14) to base 4.\nAnswer: -22023313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:01 PM and 5:34 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 999521 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m - 3*r = -150, -2*m + 3*r = 6*r - 69. Let i be ((-18)\/m)\/(2\/(-78)). What is the third derivative of i*o**2 + 357 + 38*o**3 - 357 wrt o?\nAnswer: 228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -141 - -144. Solve g + 12 = -3*g, 5*g = b*a - 27 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -9*1\/1 - -3. Let l(s) = s**3 + 6*s**2 + 4. Calculate l(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -6545\/2 + 3273. Which is the nearest to d?  (a) -144  (b) -3  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -113\/72 and -113\/18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 171 + -203.4. Let k = -256.4 - h. Let x = 223.99999849 + k. What is x rounded to seven dps?\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = 6*b. Let y(g) = 202*g**2 + 8*g + 6. Let i(h) = -1212*h**2 - 52*h - 39. Let a(t) = -4*i(t) - 26*y(t). What is s(a(l))?\nAnswer: -2424*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*d - 4*d**4 + d**4 + d**2 + d**2 as c*d + r*d**2 + t + p*d**3 + m*d**4 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 43 and 108672696?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 3\/(-2) - (-819)\/18. Suppose 2*k + 0*k = o. What are the prime factors of k?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when ((-720)\/420)\/((-3)\/931) is divided by 89.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 33*12\/198*93\/6?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 566137 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 66 and 6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from mvmmmmmmmv. Give prob of sequence vmmm.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 167, 6, 0, 0.1, 37 in increasing order.\nAnswer: 0, 0.1, 1, 6, 37, 167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = 11*p**2. Let b(w) = 12*w**2. Let d be 242\/14 + (-4)\/14. Let f = 12 - d. Let u(v) = f*a(v) + 4*b(v). Let i(l) = 2*l**2. Determine u(i(o)).\nAnswer: -28*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -62 + 1*(-8 - -4). Let b = r + 34. Let n = 21 + b. Which is smaller: -10 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -6*(-14)\/10500*-10?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 71 is divided by 40.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -482\/9 or -55?\nAnswer: -482\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 9 + -8.9. What is the closest to -1 in t, -0.2, 0.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = s**2 + 6*s + 2. Determine t(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2215645 divided by 4.\nAnswer: -2215645\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -3715, -3710, -3701, -3688, -3671?\n\"Answer: 2*j**2 - j - 3716","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 138 = 4*l + 42. Calculate the remainder when 33 is divided by l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t + 7 = -9. Let l(i) = -3*i - 6. Let b be l(t). Let r(s) = 2*s + 7. List the prime factors of r(b).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 182 + 467. Suppose 0 = -3*q + 5*j + 378, q + 2*j + y = 6*q. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 8\/170*(7095\/3870)\/(22\/30)\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m - 48 = -4*y + 5*m, -3*y + 29 = -5*m. Suppose -5*a + 2 = -y. Suppose 6*u - a*u - 12 = 0. Let h(q) = q**2 - 4*q + 1. Calculate h(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = -5*t - 2. Suppose -3*x - 16 = x. Suppose -22*u = 230 - 32. Let p(r) be the third derivative of 11*r**4\/24 + 2*r**3\/3 + 4*r**2. Give u*a(o) + x*p(o).\nAnswer: o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-2)\/8 + 1128002\/8. What is a rounded to the nearest ten thousand?\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 213598 is divided by 359?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 64 + -73 - (58 + -10) - ((2 - 12) + -1)\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (3 - -117) + (-4)\/4. Let p be 1\/(1*2\/34). Calculate the highest common factor of k and p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify r**(-4\/3)\/r**0*(r\/((r\/r**(-20))\/r))\/(r*r*r**25) assuming r is positive.\nAnswer: r**(-142\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (93081\/(-2584))\/71 + (-162)\/(-36)*2\/18.\nAnswer: -1\/136","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 66 divide 7596?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -7\/108 and -17\/246.\nAnswer: 4428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) be the first derivative of -x**4 + 4\/3*x**3 - 1 + 12*x + 10*x**2. Factor g(h).\nAnswer: -4*(h - 3)*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 79953395 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 4, m: 2, i: 4, j: 4}. What is prob of sequence im?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = 357*s. Let j(r) = 13809*r**2. What is j(c(z))?\nAnswer: 1759943241*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 + (10 - 10) + -2 + -19.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 19863.\nAnswer: 3, 2207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x = v + 28, 4*v = -x + 2 - 6. Let y = -14 + x. Let q be (y - -5)*(-20)\/(-12). Solve 5*r = -q*z + 5 - 45, -4*z - 2*r = 22 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -21690000 to the nearest one million.\nAnswer: -22000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*d + 0*g = 2*g - 16, 0 = -2*d + 5*g + 2 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 345519 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 (base 5) in base 8?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 79*i + 54*i - 2128 = 0. Which is bigger: i or 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1083\/(-114) + 13)*((-20)\/(-6))\/(-5)?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = -v**3 - 7*v**2 - 14*v - 6. Let l be q(-4). Let z(o) = o**3 + 5*o + l + 6 - 3 - 7*o**2. Determine z(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -38 - -41. Let v = -0.43 + 0.03. Which is the third biggest value?  (a) v  (b) 4  (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(-1\/10)\/q)\/(q**(-5)*q) assuming q is positive.\nAnswer: q**(29\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-100)\/5*(1 + -2). Calculate the greatest common factor of x and 140.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1014900232 to the power of 1\/2, to the nearest integer?\nAnswer: 31857","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = 6*q**2 + 19*q - 19. Let n be b(19). Suppose -13*f = -f - n. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = 8*l - 39 + 14 - 13*l - 25*l**2 - 20. Let f(u) = -71*u**2 - 14*u - 135. Let h(g) = -6*f(g) + 17*m(g). Calculate h(0).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (2*(-3 + sqrt(175) + (sqrt(175) - (-1 + sqrt(175))) + 3))**2 + -1.\nAnswer: 40*sqrt(7) + 699","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -6421, -11637, -16853, -22069?\nAnswer: -27285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g*g**(-1\/3)*g*g**(2\/5)*(g*g*g**(2\/5))**(1\/5))**14)**14 assuming g is positive.\nAnswer: g**(37436\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = -10*s + 22. Let i be j(2). Suppose -2*o = 3*v + i*o + 5, 0 = -v + 5*o + 30. Solve 3*k - v*k = 10 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-104)\/(116688\/510))\/(14\/(-22))?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(1584) + (sqrt(1584) - (sqrt(1584) + 3 - sqrt(1584))) + sqrt(1584))*-4)**2 - sqrt(1584))*4.\nAnswer: -13872*sqrt(11) + 912960","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = -3*a**3 + 216*a**2 + 249*a - 2089. Give l(73).\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -51 and -238.\nAnswer: 12138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Divide 18 by 619.\nAnswer: 18\/619","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) be the second derivative of 5*b**4\/28 - 11*b**3\/7 + 12*b**2\/7 - b. Factor y(o).\nAnswer: 3*(o - 4)*(5*o - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3057259258?\nAnswer: 2, 19, 739, 108869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.78, -3, 1.52 in decreasing order.\nAnswer: 1.52, 0.78, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express (694*d - 351*d + 263 - 344*d)*(-193 + 193 - 44*d**3) in the form c*d + u*d**2 + y*d**3 + b + g*d**4 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 2040827 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 37524 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort -444, 26, 82 in increasing order.\nAnswer: -444, 26, 82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in n**2 + 70442 - 70442.\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) be the second derivative of -s**6\/15 - 733*s**4\/2 - 4831*s**2 - 2272*s. What is the first derivative of d(w) wrt w?\nAnswer: -8*w**3 - 8796*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*v + 2*n + 6 = 0, -16*n + 13*n - 7 = 4*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (4\/6)\/((-1)\/3). Suppose -2*n + 50 = 3*n. List the prime factors of j + (n - 2) + -1.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3688203640 to the power of 1\/7, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 5147723 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + (sqrt(1152) + -2 - sqrt(1152)) - (sqrt(1152) + (sqrt(1152) + -3*sqrt(1152))*4))**2.\nAnswer: 336*sqrt(2) + 56449","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -27 = 23*i - 4. Let g = -3 + 7. Suppose 4*a - 4*m + 8 - 24 = 0, 0 = 5*a - 2*m - 8. Sort i, g, a in descending order.\nAnswer: g, a, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4 = m + 3*f, 3*m - 2*m + 0*f = -0*m - 2*f + 4 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 77 + 37 + 147*k**2 - 30 + 324*k**2 wrt k?\nAnswer: 942*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7410246 divided by -6.\nAnswer: 1235041","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.06 and 160531.\nAnswer: 9631.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 2593.4 + 9\nAnswer: 2602.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in -2\/5, -6.3, 4, 2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*f - 2*f + 2*f)*(-4 + 4 + 3) + 2 - 2 + f + 34 - 8*f - 34 + (3 + 1 - 3)*(-f + f - f) as r*f + o and give r.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: ((-48)\/32)\/((-52)\/16 - 5)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 4294219 and 3?\nAnswer: 4294216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7126*b + 52243 + 118934 + 114427 = 635*b for b.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 259378 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 944?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) be the third derivative of 11*c**5\/30 - 25*c**3\/6 + 8*c**2. What is the derivative of h(g) wrt g?\nAnswer: 44*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*d**3 - 3*d**3 + 0*d**3)*(0 - 2 + 0)*(7533*d + 399 + 396 - 795) as j*d**4 + i + b*d + n*d**3 + z*d**2 and give j.\nAnswer: 15066","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: (-38 - -48) + -23 + 0\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 34\/6717 and -43\/11145.\nAnswer: 24953655","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 0.2  (b) 28  (c) 642\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -91030000 rounded to the nearest one million?\nAnswer: -91000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (421*g**4 - 907*g**2 - 165*g**4 + 907*g**2)*(6*g - 5*g - 4*g).\nAnswer: -768*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -149 + 155. Let z(g) = 5*g**3 + 4*g**2 - 2*g. Let u(d) = 11*d**3 + 9*d**2 - 4*d. Let i be (1 - (-5)\/(-10))\/(1\/(-26)). What is i*z(c) + t*u(c)?\nAnswer: c**3 + 2*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = c**2 + 4*c - 5. Let u be f(-6). Is 9 a factor of 1*u\/(7\/18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 507 and (-15)\/(-2)*96\/144?\nAnswer: 2535","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (133\/76)\/((-11)\/44)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 98 and 12.\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = -49*g + 44. Give t(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Product of 1230 and 0.1.\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put -180, 0, 22, -15 in decreasing order.\nAnswer: 22, 0, -15, -180","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 10943 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:29 AM and 5:01 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*d = 1 - 1. Solve d = -3*i - 0*i + 3 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 c and 1 v when three letters picked without replacement from vlycyclykyylkl?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 22\/(-11) - ((-2688)\/2265 - 9*(-68)\/(-765)).\nAnswer: -2\/151","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.4159 - -0.4259. Which is the smallest value?  (a) -1  (b) h  (c) 19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1673491984 is divided by 515.\nAnswer: 514","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.010757582734 take away 0.33?\nAnswer: -2.340757582734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -100021212202202 (base 3) in base 9?\nAnswer: -10255682","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.3, -4, 8, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = -5*h - 4*o, -5*o - 16 = 17*h - 15*h. Suppose y = 5*y - 12. What is the third derivative of -4*t**y + t**2 + 5*t**2 - h*t**2 wrt t?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y - y + 16 = 5*l, 0 = -4*y - 4. Suppose -3*f + 12 - 4 = 2*v, -l*v + 48 = -2*f. Is v a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does -2\/122719379 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 36*k**3*w**2*z**3 - 12*k**3*w**2 + k**3*w*z**3 - 392*k**3*w*z wrt w?\nAnswer: 72*k**3*z**3 - 24*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -293.9789 + 294. Round x to three dps.\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 405*s + 13 - 607*s + 294*s.\nAnswer: 92*s + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 106, 4, 1, 9 in descending order.\nAnswer: 106, 9, 4, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-18400)\/(-120))\/(-20)*3.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 1*-6*(-1)\/3. Suppose -o*s - 3*s + 5 = 0. Solve -2 = 3*w + s for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -2509518, -2509532, -2509570, -2509644, -2509766, -2509948, -2510202?\n\"Answer: -2*w**3 - 2509516","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (-719 - -756) + -19 + -2?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -12 + -1. Let i = a - -46. What are the prime factors of i?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) be the first derivative of 2\/9*x**2 + 4 + 2\/3*x - 2\/27*x**3. Factor v(p).\nAnswer: -2*(p - 3)*(p + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 749 divide 425602023?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -453.299882105 + 453.3. Round c to seven dps.\nAnswer: 0.0001179","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 24666733?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 626758634 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -31 - -23?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 0.5  (b) -2  (c) 1\/5  (d) 2\/43\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*a - 3*a + a)*((-5 + 2*a**3 + 5)*(5*a - 3*a + 0*a) - 2*a**4 + 1 - 1 + (3*a**3 + a**3 - a**3)*(168*a + 8921 - 8921)).\nAnswer: 506*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -190 + 270. Let i = b - 78.4. Which is greater: 0.1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 392*d + 75 = 407*d. Solve -3*j - 2 = -5*z, -2*z + 11 = -5*j - d for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q - 537*l + 539*l = 240, -3*q + 5*l = -180. Let d = -34 - -52. Calculate the remainder when q is divided by d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*b - 7*b + 4. Which is greater: b or -6?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -9 + 12. Solve -29 = -5*t + c*o, 4*t - 4*o - 2 = 26 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = -5*p**3 + 14*p**2 - 2*p + 8. Let j(m) = -m**3 + m**2 - 1. Let a(z) = 6*j(z) - t(z). Let x be a(-8). Is 13 a factor of 4\/x - 392\/(-15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 190289987 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 204 - 211. Let l(d) be the first derivative of d**2\/2 + 12*d - 1. What is the units digit of l(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 234 and 2522.\nAnswer: 22698","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 139936258 divided by -11858\nAnswer: -11801","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 9\/((-1)\/56*-68 - 1). Let u = r + -39. Solve -v + 4 = u for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4396 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*l - 17*k = -14*k - 12, -3*k - 15 = -4*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1.718 - 1.7183. What is the third biggest value in -5, l, -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 6019332 and 496?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = 27*i - i**2 - 5 + 38 - 49*i. Is r(-21) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*g**5 - 702*g**4 - 34020*g**3 + 857304*g**2.\nAnswer: -3*g**2*(g - 18)*(g + 126)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:15 AM and 11:00 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = 795000*y. Let t be w(-2). Round t to the nearest 100000.\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 321 divide 550124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 q and 1 a when four letters picked without replacement from qaqaaaqqaaaaaaaaqaa?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.6461 - 227.7539. Round c to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3 - 0.0039234\nAnswer: -3.0039234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*k + 39 = 3*k - 3*q, 3*k - 35 = q. Let x(m) be the first derivative of -m**4\/4 + 10*m**3\/3 + 15*m**2\/2 - 2. Does 22 divide x(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o = 24 - 8. Suppose 0 = 4*i - 96 + o. What is the remainder when i is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = -g**3 - g**2 - 16. Suppose 0 = 2*o + h + 34, -5*h + 11 = -5*o - 44. Let a be (27\/o - -2)*0. Give q(a).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 2385  (b) 37  (c) -0.49  (d) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-24)\/(-2))\/(6\/(-4)). Let p = w - -13. Calculate the least common multiple of p and 3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = -c**3 + 12*c**2 + 2. Let b be j(12). Suppose -b + 10 = 2*v. Suppose -v*w = 4*z - 248, -316 = 2*z - 7*z + w. What are the prime factors of z?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 2.5 - 2. Let d = -0.3 + 0.2. Suppose 4*z - 4*x + x + 14 = 0, -5*z - 8 = x. What is the nearest to d in s, z, -5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*n - m = -10, -n - 3 = -7*m - 20 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 182*k**3 + 3*k**2 + 210*k**3 - 3*k**2.\nAnswer: 392*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 37352160 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 946805356?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = -6*a**3 - 6*a**2 - 3*a + 5. Let l be h(-4). Suppose -5*m + l = 40. What is the remainder when m is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2504 + -2504.004644. What is h rounded to 3 dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-224)\/420)\/(4\/(-18)). Find y, given that u - 24\/5*y + 9\/5*y**2 = 0.\nAnswer: 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3176 - 1018 = -406*a + 2708 for a.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k**10\/k**(-6\/5) assuming k is positive.\nAnswer: k**(56\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*p + 6*p = -22. Let n(z) = 6 + 7 + p*z + 8*z - 10. What are the prime factors of n(4)?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + sqrt(76)\/sqrt(4) + -4.\nAnswer: -2 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -53 = -8*w - 5. Suppose -w*d = -7*d + 2. Suppose d*y - 456 = -5*v - 0*v, 3*y + v - 671 = 0. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4479?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -59*k + 302 = 14 - 66. Let g(h) = -h + 18. Give g(k).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b + 0*b = 10. Let j = -10 + b. Suppose j = 3*f - 8*f + 225. What is the remainder when f is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1201121 (base 4) to base 2\nAnswer: -1100001011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.864 + 1.464. What is the second smallest value in -0.2, 6\/23, h?\nAnswer: 6\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*j + 2 - 14. Suppose -27 = 5*z - j, 0 = -k + 2*z + 25. Suppose -k*w = 10 - 25. Is -2\/87 > w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = -35*z - 319. Let k be h(-9). Which is the second biggest value?  (a) 0.4  (b) k  (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 176 minutes before 4:59 AM?\nAnswer: 2:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:54 AM and 3:04 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -59 + 60. Let g(t) = t**2 - t - 1. Let f(u) = 6*u**2 - 3*u - 4. Give m*f(p) - 5*g(p).\nAnswer: p**2 + 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -44 + 128 + -16 + -40?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = -n. Let v be i(-5). Suppose -2*d - r = 40, 2*r = 2*d - v*d - 58. Is (-6)\/(-2)*d\/(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 58498 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 67, -107, -401, -821, -1373, -2063, -2897, -3881?\nAnswer: -5021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 5 divided by -1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g**2\/g*g)\/g*g)**(4\/17) assuming g is positive.\nAnswer: g**(8\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2 and 98?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-9680)\/12)\/(-4) - (-2)\/(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = -3*c + 221. What is the remainder when l(-14) is divided by 44?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 3  (b) 6  (c) 1  (d) 815\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = -29*f - 1234. Give h(-46).\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 268513178 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 7102 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 1 - -84e9c?\nAnswer: 84e9d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*f**2 + 2*f**4 + 0*f**4 - f**4 + (2*f**2 + f**2 - 4*f**2)*(0*f**2 + 0*f**2 - f**2).\nAnswer: 2*f**4 + 2*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2243089, 2243174, 2243259, 2243344, 2243429, 2243514?\nAnswer: 2243599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 4705074?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 3248 and 168?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 1953811 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Are 331166 and 331164 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 9.10092l in millilitres?\nAnswer: 9100.92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 260638036*k**2 + 181275838*k wrt k?\nAnswer: 521276072","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -1566*w + 5117 - 17070 - 26493 - 3836 for w.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"}
{"text":"Question: Product of 366438 and -15.1.\nAnswer: -5533213.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*k**3 + 0*k**3 - k**4)*(3 - 3 - 2) - 174763 + 174763 + 367*k**4 in the form w*k**4 + z + s*k**2 + i*k**3 + h*k and give w.\nAnswer: 369","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -60*(1 - -1)*-1. Suppose -4*z - a - 424 = -5*a, -8*z - 4*a = 752. Let y = z + m. Solve -q + 5*l - y = 3, 32 = -4*q + 3*l for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3 - 3 - (1 + -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xxefcaeeaxfx. What is prob of picking 1 a and 1 c?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5.225*-137.\nAnswer: -715.825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.2 minus 129.687?\nAnswer: -129.887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 75890 rounded to the nearest ten thousand?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/5 in 15, -7.1, 1\/2, -5\/4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 3917, -5, 32, -1, 0, -2 in descending order.\nAnswer: 3917, 32, 0, -1, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x - 4*r - 2 = -3, r - 10 = -3*x. Suppose -5*d + x*d = -5*h - 231, 0 = -5*d - 4*h + 627. Let a = -55 + d. Is a a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 29320454?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w - 4*r + 11 = 0, -4*w + 6 = 3*r - 21. Suppose -w*m - 6*y + y + 369 = 0, 0 = 4*m - 4*y - 492. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 27684 + -27684.4. What is the second biggest value in 0, 1\/5, -198, u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 > -1\/71665?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 5 - 1. Suppose -5*p + 5*d = 11 - 31, -5*p + g*d = -18. Suppose 4*u = 4*t - 168 + 36, p*t = -2*u + 50. List the prime factors of t.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.07*-78353\nAnswer: 5484.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (2 - (-18)\/(-4))\/(6\/(-12)). Let j be 278\/m + -4*4\/(-40). Let z = j + -47. Calculate the least common multiple of 3 and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*6*(sqrt(325)*1*-2*6 - -4*(-5 + 2*sqrt(325) - sqrt(325))))**2*2*3.\nAnswer: 345600*sqrt(13) + 4579200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 296084463 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 0.01, -5\/6, 6599, 2\/11, -6 in descending order.\nAnswer: 6599, 2\/11, 0.01, -5\/6, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 291 minutes after 1:06 PM?\nAnswer: 5:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*n**2 + 3441*n + 6870 = 0 for n.\nAnswer: -1145, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = -4*p**2 - 3 + 6*p**2 - 5*p + p**2 + p**3. Calculate v(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s = 2*u + 79 + 33, 5*u - 5*s + 310 = 0. Let w = u - -64. Solve -4*t + w + 8 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n\/(n\/(n\/n**(1\/32))))\/n*n**(2\/75) assuming n is positive.\nAnswer: n**(-11\/2400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 970 + 1165 - 3382 + 907 + 7*l.\nAnswer: 7*l - 340","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {c: 1, t: 3, a: 1, k: 6, b: 1, m: 1}. What is prob of sequence acm?\nAnswer: 1\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -3 + (-28)\/(-12) + (-66)\/(-45). Suppose -2*u + 6 = u. Which is the third smallest value?  (a) p  (b) -0.4  (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l\/((l\/(l\/(l**(-2\/5)\/l)))\/l))\/(l\/(l\/l**(-2))))**(-2\/11)\/((l**6\/l*l)\/(l*l*l**(-2\/11)*l)*(((l\/l**2*l)\/l*l*l)\/l)\/l*l**4\/l) assuming l is positive.\nAnswer: l**(-339\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -281 + 491. Let x = 303 - r. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 101\/36 and -16\/15.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 313 or 314?\nAnswer: 314","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.5*101300.\nAnswer: -50650","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1 + 23 = 6*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*k - 197*n + 12 = -195*n, -n = k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1912087 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q**(-34)*q**(1\/30)\/q*(q\/q**(-5\/3))**(-44) assuming q is positive.\nAnswer: q**(-1523\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 18107 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 979815545, 979815543, 979815541, 979815539, 979815537?\n\"Answer: -2*y + 979815547","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1078 + 1077.9. Which is the third smallest value?  (a) -0.68  (b) 0  (c) k  (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00230372641 rounded to five decimal places?\nAnswer: 0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.25 - 0.8. Let m = -0.05 - w. What is the second smallest value in 0, m, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (9\/(-63))\/((-6)\/(-7)). Which is the third biggest value?  (a) g  (b) 1  (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = -23*c. Let w(x) = -435*x + 7748. Give y(w(p)).\nAnswer: 10005*p - 178204","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j = -54 - 10. Let h = j + -19. Let w = -7 - -6. Sort w, 3, h in ascending order.\nAnswer: h, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3\/(15*380\/(-200))\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 87 in -99, 0.15, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:52 AM and 10:03 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -761*f**3 + 323*f**3 + 61*f**3 - 119*f**2 - 513*f**2 - 762*f**3 wrt f.\nAnswer: -6834","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g + 7*w - 192 = 4*w, 0 = 4*w - 12. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 + 13 + -6 + -1 + 4?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a**4\/13 + 5674*a**3\/13 + 28326*a**2\/13 + 16974*a\/13 - 50976\/13 = 0. What is a?\nAnswer: -2832, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 38385 (base 13) to base 2\nAnswer: 11001010111000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 153 = 9*p - 9. Calculate the least common multiple of 48 and p.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1274 + -556. Suppose v - 702 = 8*o. Solve 0*x + 2*t = x, 5*t = -o*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r + 3*g - 33 = 0, -r + 0*r + 5*g + 29 = 0. Let p be (-9)\/(-6)*(-24)\/r. What is the second smallest value in -1, -3, p?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) be the second derivative of -l**4\/12 - 5*l**3\/6 + l**2 + 6*l. Let t be o(-6). Sort t, 4, -2\/9 in increasing order.\nAnswer: t, -2\/9, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor d**2\/5 - 2370844*d\/5 + 1405225318084\/5.\nAnswer: (d - 1185422)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = -u**2. Let r(f) = -203*f**2 - 6. Let z(m) = 610*m**2 + 16. Let s(a) = -8*r(a) - 3*z(a). Determine s(c(k)).\nAnswer: -206*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is b + -558c840?\nAnswer: -558c833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 88 = 4*v + 68. Put v, -2, 1 in descending order.\nAnswer: v, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = -w**2 + 9*w + 39. Let u be d(12). Let m(a) = u*a - 34*a - 29*a - 88*a. Let j(i) = -2*i. What is m(j(v))?\nAnswer: 296*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -397 + 269. Let s = b + 224. Is 12 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 2866277?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: (-3)\/(2\/(-4)*18)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w - 4 = 0, -19532 = -2*u + 4*w + 96310. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 481 - 479. Let a(z) = 64*z + 197. Let d be a(-3). Sort x, d, 31 in increasing order.\nAnswer: x, d, 31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -117\/1787900 and -17\/715160.\nAnswer: 3575800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 133 + -122. Is u bigger than 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = a + 1. Let b(j) = j**2 - 4*j - 5. Suppose 7*m - 21 = 14*m. Determine m*y(z) - b(z).\nAnswer: -z**2 + z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in -0.02, 206, -4, 0.3, 0.05, -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 915  (b) 0  (c) 1\/2  (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = 34*b. Let w(k) = 3*k. Give v(w(f)).\nAnswer: 102*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x + 20 = 0, -5*b + 9350 = -33*x + 34*x. Calculate the greatest common factor of b and 63.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = 3*z + 2. Let f be r(3). Let j = -2 + 4. Suppose -j*w - 3*o + 28 = 0, -40 = -2*w - 2*w + 2*o. What is the greatest common divisor of f and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 56028 and 4263?\nAnswer: 609","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 3\/10 of a century?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.4, -2\/59, 0, -2599\/7 in decreasing order.\nAnswer: 0.4, 0, -2\/59, -2599\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2) + sqrt(288) + 0)**2 - (sqrt(2) + (sqrt(80)\/sqrt(4))\/sqrt(10)).\nAnswer: -2*sqrt(2) + 338","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q = -4*q - 4. Let w(x) = -2*x**2 + 50*x + 49. Let r be w(26). Let y = -0.3 - -3.3. Which is the closest to -2\/5?  (a) y  (b) r  (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 6 - 4. Let g = -222 + 327. Suppose -67*d + 60*d = -g. Solve b + j*b + d = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) be the third derivative of -k**6\/30 + 2*k**5\/15 + k**4\/6 - 4*k**3\/3 + 4*k**2. Find z, given that w(z) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 37*s - 45*s - 96. Let n(k) = 3*k + 29. Determine n(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 611 minutes before 7:02 AM?\nAnswer: 8:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 31.93515l?\nAnswer: 31935.15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 3907710\/167 or 23399?\nAnswer: 23399","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = 0 - 7 - 6 - 2*n + 5 - 4. Let k(x) be the third derivative of -x**4\/24 + 11*x**2. Determine b(k(c)).\nAnswer: 2*c - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is nine tenths of a micrometer in nanometers?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-2)\/4 + (-1549)\/(-2). Suppose -2*s + 5*l + 170 = -128, -5*s - 2*l = -c. Suppose 128 - 18 = 5*w. Calculate the greatest common divisor of s and w.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify n**(-1\/2)*(n\/(n*n*n**5*n*n))\/n*(n\/(n**(-1)\/n))**(2\/49) assuming n is positive.\nAnswer: n**(-919\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find y such that -y**3\/2 + 89*y**2\/4 + 23*y\/2 - 45\/4 = 0.\nAnswer: -1, 1\/2, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -5 - -9. Suppose -n + 1 = 3*g. Let a be ((-1296)\/(-243) - 1\/3) + (3 - 7). Put 5, 2, g, a in decreasing order.\nAnswer: 5, 2, a, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = u**2 - 3*u - 37. What is v(7)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00001551 rounded to seven decimal places?\nAnswer: -0.0000155","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2\/11 or 161666?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = -104*z + 13. Let v(p) = 49*p - 3. Let b(y) = -97*y + 5. Let k(m) = -6*b(m) - 14*v(m). Let r(w) = -2*k(w) + 3*u(w). Is r(-10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -8372, -33469, -75262, -133751?\nAnswer: -208936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(1\/3)*g)**7\/((g\/(g*g*g**(-4\/13)))\/g**(-24)) assuming g is positive.\nAnswer: g**(-545\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 28889 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 2 + 0)*(2*c - 5*c + 0*c) + (-18 + 1 + 1)*(-c - c + 0*c).\nAnswer: 26*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -68.25112528 rounded to three decimal places?\nAnswer: -68.251","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -7638, -15277, -22926, -30591, -38278?\n\"Answer: -r**3 + r**2 - 7635*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d = -4*p - 2, -2 = 2*d - p - 3*p. What is the closest to -1 in -3, d, 24, -0.4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 6, 8, 6, -6, -34, -84, -162, -274?\n\"Answer: -v**3 + 4*v**2 - 3*v + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -582\/1405 + 4\/281. Which is the nearest to 18?  (a) -5  (b) s  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -7*54\/1260 + 92\/40\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = -q**3 + 19*q**2 + 41*q + 25. Calculate b(21).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(22)*1 - sqrt(22))*-3 + 2*sqrt(792))\/(sqrt(162) - (sqrt(162) + -2*sqrt(162)*6)))**2.\nAnswer: 11\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(66)\/sqrt(3))\/sqrt(11))**2 - (sqrt(2) + (-1*sqrt(20))\/sqrt(10))**2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ziibiibiioiiiiiii. What is prob of sequence zo?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 366653.71 rounded to the nearest 100?\nAnswer: 366700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 409447 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -77137, -154276, -231415, -308554, -385693, -462832?\n\"Answer: -77139*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 149 minutes after 5:43 PM?\nAnswer: 8:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 4.18589 - 235.48909. Let z = w + 231. Let l = z + 0.3. What is l rounded to 3 dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-c**2 + 5*c**2 + c**2)*(1 + 1 + 0)*(1 - 1 - 1).\nAnswer: -10*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2867, 2868, 2869, 2870?\nAnswer: 2871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 5 - (1626\/(-18) + 3\/9). Suppose 55*y - 50*y = m. Calculate the remainder when 225 is divided by y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 15*-1*(-2)\/(-5). Let y = n - -4. Which is the third smallest value?  (a) 1  (b) 5  (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 133986\/13 equal to 10306?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Does 20 divide 2052480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 5756 divide 315695454?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17 = -b + 367. Suppose -5*r + 2*w = -b, -2*r + 5*w = -7*r + 370. Is r a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = 4*m - 2. Let v be o(3). Let f(l) = -2 - 3*l**3 + 2 - l**2 + l + 2. Let t be f(-2). Calculate the highest common divisor of v and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = m**2 + 2*m + 3. Suppose -5*p + 5*d - 20 = 0, 4*d - 9 = p + 2*p. What is the units digit of t(p)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine z so that 3*z**3 - 6*z**2 - 1371*z\/4 + 345\/2 = 0.\nAnswer: -10, 1\/2, 23\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor -l**2 - 164*l - 6324.\nAnswer: -(l + 62)*(l + 102)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*u - 30 = -140. Suppose u*n - 13897 = -2017. Does 11 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7233*y**2 - 79564*y - 11 = 0.\nAnswer: -11, -1\/7233","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2 + 6. Let w = r + -4. What is the third derivative of w*f**4 + 3*f**4 + 2*f**2 + 0*f**2 wrt f?\nAnswer: 72*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2967.86ns to microseconds.\nAnswer: 2.96786","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -37*t + 39*t = 3*d - 23, -14 = -4*t - 6*d for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.512 + -0.012. Sort q, 0.1, 5 in descending order.\nAnswer: 5, q, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve i + 3 = 5*m, -3*m = -5*i + 111 - 104 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -3, 39, 165, 423, 861, 1527, 2469, 3735?\n\"Answer: 8*g**3 - 6*g**2 + 4*g - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g\/g**(-1))**(-7\/4)\/(g**(-1)*g**(1\/9)\/g) assuming g is positive.\nAnswer: g**(-29\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1\/278 + -1959\/3614. What is the common denominator of (-102)\/20 + 36\/9 and o?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in fifty-seven fifths of a gram?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 2 - 4)*(-2*f + 13*f - f) + 2*f + 5*f - 5*f.\nAnswer: -18*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in -1, -0.1, 2\/21, 6\/1177?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 20496\/(-6954) + (-3)\/57 + (1\/1 - -4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: ((10\/345*18)\/3)\/24\nAnswer: 1\/138","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2024168 is divided by 72291.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1219085040?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 5058986, 5058988, 5058990?\nAnswer: 5058992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) be the second derivative of -o**4\/12 - o**3\/6 + o**2\/2 + 6*o + 923. Let w(s) = -2*s - 7. Give -2*j(y) + w(y).\nAnswer: 2*y**2 - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 13, 43, 81, 127, 181, 243, 313?\n\"Answer: 4*w**2 + 18*w - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2076628 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -1*(-445)\/15*3. Let g = -44 + u. Which is smaller: 47 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -4.2 - -2. Let y = s - -4. Let r = 0.2 + y. Which is the third smallest value?  (a) 5  (b) r  (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (12\/(-351))\/(43\/(-2193)*-34)?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v + 16 = 7*v. Suppose 495 = 2*d + 5*j - 2*j, 251 = d - 2*j. Suppose -w = 3*c + d, c + v*w - 37 = -120. Which is bigger: c or -82?\nAnswer: -82","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = s - 2. Let p be o(6). Suppose -2*y - 59*y + 1952 = 0. What is the greatest common factor of y and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = -i**3 + 19*i**2 - 43*i - 76. What is q(16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = 10*m**4 + 36*m**3 - 10*m**2 - 114*m. Let h(r) = -29*r**4 - 106*r**3 + 31*r**2 + 339*r. Let p(x) = -6*h(x) - 17*v(x). Factor p(s).\nAnswer: 4*s*(s - 2)*(s + 2)*(s + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = 22*w - 1. Let s be l(1). What is the second derivative of 7*k + s*k**2 + 30*k**2 + 34*k - 2*k**2 wrt k?\nAnswer: 98","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -3 - -15. Solve -20 = t*f - 8*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -14 < -57529\/4539?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 15.5955 + -15.6. What is m rounded to three dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -13\/466688640 and 149\/102088140?\nAnswer: 3266820480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -6009*9\/11745*5 - -23\nAnswer: -2\/87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = x**2 + 12*x - 7. Let y be ((-48)\/(-15))\/(2\/5). Let s be v(y). Is s\/(7 + -4)*1 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2500, 0.2, 4\/5, -1\/5, 0.05 in increasing order.\nAnswer: -1\/5, 0.05, 0.2, 4\/5, 2500","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 15\/(-10)*(-232)\/12.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -347, -687, -1005, -1301, -1575, -1827, -2057?\n\"Answer: 11*x**2 - 373*x + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 532\/25 in -0.5, -3, 5, -11\/2, 1\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y - 15 + 1 = 2*g, -3*y + 37 = -5*g. Suppose 14 = 2*t + u, -t + y = -3*u + 2*u. Find the common denominator of -7\/6 and 44\/(-48)*(-28)\/t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 12112230 - -11?\nAnswer: 12112301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*t**2 + 5*t**2 + t**2 + 2*t**2 - t**2 + 6*t**2 + (0*t + t + t)*(-1 + 1 + t) + (-3*t - 3*t - 1 + 8*t)*(-t + 4*t - t).\nAnswer: 15*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*w - 3*x - 405, -x + 0*x = w - 110. Suppose -w*c = -100*c - 115. Calculate the remainder when 148 is divided by c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -3863, 30, 13, 5.\nAnswer: -3863, -2, 5, 13, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (10\/(-25))\/(2\/(-5)). Let u(j) = -31*j + 1. Let d be u(-3). Is f*d*(-3)\/(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*b**2 + 53031*b - 318294.\nAnswer: 3*(b - 6)*(b + 17683)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2424 (base 10) to base 5.\nAnswer: 34144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -910 - -284. Let i be (-2)\/(-6) - (-8)\/48*x. Let h = i - -108. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -22 + 9. Let t = z + 13.05. What is t rounded to 2 decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = -2331486*j**2. Let a(p) = -2*p. Give q(a(d)).\nAnswer: -9325944*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide ((-1)\/3)\/(2\/6) + 653 + -8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fe when two letters picked without replacement from efdeexjffwxeex?\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1559.4 - -1881.45. Let u = -322 + r. Let l = -0.4 - -0.3. Which is the biggest value?  (a) u  (b) 3  (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -335522052924 + -4.\nAnswer: -335522052928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 432592*v**4 + 44*v**3 + 112321738?\nAnswer: 1730368*v**3 + 132*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 57293408 and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -11100110 - -10111?\nAnswer: -11001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = 6*p - 4*p**3 + 5*p**3 - 4831*p**2 + 4825*p**2 - 5. Determine k(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 220\/99 - (-4)\/(-18) - -3. Solve -7*v + m*v - 2 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 195 minutes after 3:02 PM?\nAnswer: 6:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -1300, -5179, -11636, -20671?\n\"Answer: -1289*u**2 - 12*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -24*v + 3*v - 12*v + 165 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h*h*h**(-21)*h*(h\/(h\/(h\/h**2*h)))\/h assuming h is positive.\nAnswer: h**(-19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Determine x, given that -16*x**5\/7 - 9628*x**4\/7 - 1421160*x**3\/7 + 3231988*x**2\/7 - 2161904*x\/7 + 360720\/7 = 0.\nAnswer: -334, -270, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -5*b**3*v**2 + 4401*b**3*v - 2*b**3 - 20*b**2*v**2 + b**2*v + 73*b*v**2 + 3*b + v wrt b?\nAnswer: -30*v**2 + 26406*v - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 45922.35 rounded to the nearest 100?\nAnswer: 45900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -6, 22, 78, 162, 274, 414, 582?\n\"Answer: 14*c**2 - 14*c - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1591 minus 40220369?\nAnswer: -40218778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*h + 307 - 333 = 0. Let b(o) = -2*o - 3 + 5 + 20*o**3 - o - 2*o**2 + 3. Is b(h) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-1794)\/1035)\/((-6)\/45) - 602\/46\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -16, -44, -118, -262, -500, -856, -1354?\nAnswer: -2018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = -a**3 - 4*a + 5. Suppose -3*u + 25 = 19. Let i be q(u). Let o = i - -21. Does 3 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 165 and 363.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 50259610?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 618 minutes after 2:32 PM?\nAnswer: 12:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -3  (b) -3\/4  (c) 0.4  (d) -3\/361  (e) -2\/67\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -11*d - 4*d + 75 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -184 + 435. Suppose 0 = 2*u + 8, -5*t + 3*u + b = -u. Does 19 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 185231?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = 11*b**2 - 4*b - 20. Let i be c(-6). Let p = i - 226. Does 17 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.15, -2.9, -0.95, 0, -4 in descending order.\nAnswer: 0, -0.15, -0.95, -2.9, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 23137?\nAnswer: 17, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 1164204 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: (-4)\/((-20)\/(-120) + 2\/(-3))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.014  (b) -3  (c) -5  (d) -625723\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*z**2 + 5*z**2 - z**2)*(76*z - 78*z + 132*z + (z + 2*z - 2*z)*(-5 + 3 + 0) - 3 + 3 - 2*z) to the form t + l*z**3 + m*z**2 + d*z and give l.\nAnswer: 252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 34063 + -13574. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -9 + 2 + 11210*v**2 + 30 - 11205*v**2 wrt v?\nAnswer: 10*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2 + (1 + -4 - (5 - 9))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = -n**2 - 5*n + 3. Let p be x(-5). Suppose 28 = -p*y + 94. Is 11 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q + 44 = 5*q. Suppose -5*n + q = -4. Which is smaller: 2 or n?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 107 minutes before 5:06 PM?\nAnswer: 3:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -84*a**2*l**2*y - 5*a**2*l - a*l*y**2 + 3*a*l*y + a*l - 5*l**2*y**2 wrt l?\nAnswer: -168*a**2*y - 10*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is -2287774\/21 < -108941?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 1200\/26 - 16\/104. Let y = h + -56. List the prime factors of -21*y*8\/12.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -1165 and 36873.\nAnswer: -42957045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round 126.977 to the nearest integer.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -12 - -26. Suppose 7*f - 1007 = -321. What is the greatest common factor of f and i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a\/(a\/a**(-8)))\/a)\/(a\/a**3) assuming a is positive.\nAnswer: a**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 42*1\/(12\/16).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -34*o**2\/3 + 28*o\/3 + 2.\nAnswer: -2*(o - 1)*(17*o + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -17447906 + -4?\nAnswer: -17447910","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = -4*u**2 - 129*u - 581. Let m(x) = 4*x**2 + 134*x + 582. Let p(w) = 6*j(w) + 5*m(w). Factor p(f).\nAnswer: -4*(f + 8)*(f + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -19985 + 260005\/13. Factor -1036\/13*b**3 - 3018\/13*b**2 - 98\/13*b**4 - g - 1480\/13*b.\nAnswer: -2*(b + 5)**2*(7*b + 2)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -114 + 162. Let d = r + -48. Solve 0 = x - d*x + 4 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 7, b: 9}. Give prob of picking 4 e.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = -3*w**2. Let t(v) = 14*v - v + 3*v + 107130 - 107127. Calculate a(t(m)).\nAnswer: -768*m**2 - 288*m - 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u - 30 - 3 = -3*h, 4*h + 3*u = 16. Suppose h*y + 335 = -190. Let z = 34 - y. Does 8 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j - 39 = 5*o + 3*j, 4*o - j + 27 = 0. Which is greater: 0.2 or o?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -12.6 from -6.8.\nAnswer: 5.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 7, c: 6}. Give prob of picking 2 c and 2 e.\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = -19*z**2. Let w(k) be the third derivative of -13*k**5\/10 - k**2 - 387*k. Give u(w(p)).\nAnswer: -115596*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = b + 8. Let m be n(0). Suppose -m = -g - 3. Suppose 3*o - 23 = 1. What is the remainder when o is divided by g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*d + 2 = 6*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -389*k**3 + 5*k**2 + 12615*k?\nAnswer: -2334*k + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j + 3*q + 257 = 0, 5*j + 0*q + 668 = q. Let r be 148\/(-6)*147\/14. Let z = j - r. Calculate the remainder when z is divided by 43.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-5)\/(-3)*18\/(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 1\/3, -3, -1\/9, -5\/17, 2\/11?\nAnswer: -5\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in 1, -0.3, 0.1797?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:12 AM and 8:17 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 286 - 149. Let j = v + -1237\/9. Let d = -6.7 - -7. What is the third biggest value in j, d, 1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1\/80 - -971\/880. Which is smaller: r or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3\/7, -5162, 0.08, 1, 35, -2.\nAnswer: -5162, -2, 0.08, 3\/7, 1, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 11 - 11.3. Let r be 8\/(-28) - 22\/(-28). What is the nearest to 0 in v, 0, r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -2299 - -2301. Solve -4*i + c*z + 8 = 4, 3*i + 4 = -2*z for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 16 + (-3 - 14) + -2 + 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-16)\/80*-25*-1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -95 = -7*u - 25. Suppose -9*m = -u*m + 15. What is the lowest common multiple of m and ((-12)\/4)\/(3\/(-2))?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in -1.13, 4\/7, 4, -2\/11?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*f - 3*f**2 - 1039 + 1039 in the form v*f + c*f**2 + j and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2689 - 213*z + 687*z - 249*z - 219*z.\nAnswer: 6*z - 2689","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Divide -9130170 by -3.\nAnswer: 3043390","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 71075 and 1975?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) be the third derivative of n**5\/210 + 367*n**4\/21 + 538756*n**3\/21 + 6*n**2 + n - 24. Factor f(l).\nAnswer: 2*(l + 734)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = w - 11. Let i be t(12). Let m be 6\/(-18) + i\/3. Suppose m = 2*x - d + 2*d + 19, -x - 4*d = 13. Which is the biggest value?  (a) x  (b) -1  (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = -367*n - 20. What is the hundreds digit of w(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -46.002 rounded to the nearest integer?\nAnswer: -46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 348863?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -1751920 divided by 976\nAnswer: -1795","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = -38*m + 4. Let k(d) = -75*d + 9. Let y(u) = 305*u + 4876. Let t be y(-16). Determine t*k(g) + 9*h(g).\nAnswer: -42*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lxel when four letters picked without replacement from xggjljglxeglljexle.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 933, 1854, 2779, 3708, 4641, 5578?\nAnswer: 6519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c - y - 8 = 0, 8*c - 10*c - 4 = 4*y. Put c, -67, -4 in descending order.\nAnswer: c, -4, -67","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 36\/10*(3075\/(-315) + 10)\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -52676, -4, 2, 0, 3 in descending order.\nAnswer: 3, 2, 0, -4, -52676","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g - 3 = -7*g. Let f = 23 + g. What is the remainder when f is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 2, a: 17}. Give prob of sequence aaa.\nAnswer: 40\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10068140.\nAnswer: 2, 5, 503407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 2045561 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 67320\/(-11968)*32\/(-10).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -32969, -131901, -296789, -527633, -824433, -1187189, -1615901?\nAnswer: -2110569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -1\/4*c**2 + 7\/4 - 3\/2*c.\nAnswer: -(c - 1)*(c + 7)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 61*u + 330 = 6*u for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 660 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Determine c so that -c**2\/2 - 2027*c + 20320 = 0.\nAnswer: -4064, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Total of -41.51966 and -0.1.\nAnswer: -41.61966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 1741499657 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round 7953200 to the nearest one hundred thousand.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -656, -1294, -1930, -2564, -3196?\n\"Answer: x**2 - 641*x - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2 + 181*s**2 - 4*s**3 - 363*s**2 - 24*s + s**3 + 183*s**2 to the form f + v*s + u*s**3 + j*s**2 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from qtkkyt. What is prob of sequence qtkk?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6467 is divided by 1080.\nAnswer: 1067","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-173 - -178) + 2 + 6.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 23506\/(-18469)*4\/(-28)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*v + 9 = 4*m, 11 = -4*m + 2*v + 5 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 8 (base 9) in base 7?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-1)\/(3 - 13\/4). Let r(n) = -10 + 21 - 14 - n**2 + x*n. Determine r(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (23 - 4 - 5)*(-4*o + 2*o + 0*o)*(3*o - 3*o - 2*o).\nAnswer: 56*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -0.5, 2\/9, -52.7 in ascending order.\nAnswer: -52.7, -5, -0.5, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) be the first derivative of -26*a**5\/5 + a + 21. Find the first derivative of u(b) wrt b.\nAnswer: -104*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = -f**2 - 10*f - 11. Let v be d(-6). Suppose -v*a + 12*a = -1. Sort a, 2, -28 in decreasing order.\nAnswer: 2, a, -28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*i - 7 = o + 2, 6 = o + 2*i for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -20051\/16 + 1253. Which is the closest to 1?  (a) -1  (b) z  (c) -3  (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -461*k**6 - k**5 - 938*k**3 + 458518*k**2 + 160*k - 2 wrt k?\nAnswer: -55320*k**3 - 60*k**2 - 5628","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) be the first derivative of m**8\/3360 + m**7\/840 + 5*m**3\/3 - 5. Let n(y) be the third derivative of j(y). Factor n(d).\nAnswer: d**3*(d + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 176 a factor of 3650107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-390*25\/1800)\/(55\/(-33))?\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3875610 divided by -1.\nAnswer: 3875610","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = g**2 - g + 6. Let r = -1979 - -1979. Determine z(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from odbotwwddoodooot. What is prob of picking 1 w and 2 d?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 864?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 496 minutes before 6:13 PM?\nAnswer: 9:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-12)\/9 + -1 + 3. Let m = -28 + 28. What is the closest to 0 in s, 1\/6, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = -3*d**3 + 40*d**2 + 25*d - 31. Is 4 a factor of p(13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = -5287*h**2 - 27923*h**2 - h - 16143*h**2. Let r be c(3). Let u = r - 1455820. What is u rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) be the second derivative of 0*r**2 - 52*r + 0 - 1\/2*r**4 + 0*r**3. Let z(t) = 4*t. Determine b(z(a)).\nAnswer: -96*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 24877554?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve m + 10 = -4*g, -m - 3*g + 78 - 84 = 0 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = -37007*i - 294452. Give n(-8).\nAnswer: 1604","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -12 - -17. Suppose -4*n + 3*q = -4 - 5, k*q = 5. Solve -n*o - 2*o = -15 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 187286?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 154 + -143. Is z even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 160976210 to the nearest integer?\nAnswer: 544","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 47056 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 30 plus -120.7?\nAnswer: -90.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 345, 2702, 9093, 21534, 42041, 72630, 115317, 172118?\n\"Answer: 336*v**3 + v**2 + 2*v + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + 1 - (21 + 19 - 18).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 51234334 (base 6) to base 4.\nAnswer: 11212012102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 60*f**4 + 64989*f**3 + 139461*f**2 + 12960*f - 12972 = 0. Calculate f.\nAnswer: -1081, -2, -2\/5, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = -r**3 + 8*r**2 - 3*r + 19. Calculate x(8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s + 4*f - 3*f - 24 = 0, -5*f = -5*s + 30. Let a(i) = -i**2 + 9*i - 15. What is the units digit of a(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) be the second derivative of 401*j**3\/3 + 66*j. Let v(b) = 2*b. Calculate v(h(k)).\nAnswer: 1604*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 8704*c**3 + 5*c**2 + 61*c + 473 wrt c?\nAnswer: 52224*c + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 379260 divided by 172?\nAnswer: 2205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.385*-5385.\nAnswer: -2073.225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 - 14 = -2*h. Let w be (21\/(-63))\/(2\/(-54)). Suppose w*z = 11*z - 234. Calculate the greatest common divisor of h and z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -227547, -227557, -227577, -227613, -227671, -227757, -227877, -228037?\n\"Answer: -m**3 + m**2 - 6*m - 227541","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = 4*q + 3. Let c be f(-2). Let z = c + 5. Let g = -5.09 - -0.09. Put -4, g, z in increasing order.\nAnswer: g, -4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = 4 + 1 + 0*l + 1 - l. Suppose -2*y - 40 = -7*y. Suppose 4*h - 5*r + 29 = 0, 3*h - 4*r = -y - 14. Determine f(h).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -r**3 - 7*r**2 - 10*r - 6. Let g be i(-6). Suppose -2*f - 67 = 13. Let w = f - -76. Calculate the highest common divisor of w and g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -259864 - 569279 = -36*y - 59607. What is the hundreds digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-9 - -2 - -13) + -12 + 5 + -19.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -118*x - 7 - 12 - 111*x + 226*x + 25 - 6.\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -20 + 26. Let l = 10 + -5. Solve -l*u + 19 = -n for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = -25*l + l**3 + 3*l**3 + 2 + 24*l. Let j be ((-40)\/(-15))\/((-2)\/(-3)). Let v be (3\/j)\/((-4)\/16). Let f(x) = 9*x**3 - 3*x + 5. Give v*f(k) + 7*h(k).\nAnswer: k**3 + 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -16.3 - 49.7. Let y = 66 + n. Let q = -7 - -6.8. Which is the closest to y?  (a) q  (b) 2\/3  (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3455?\nAnswer: 5, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -m + 31*f - 39 = 2*m + 35*f, 161*f + 1446 = 3*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 34.12 - -0.88. Let m = w + -34.9785. What is m rounded to three decimal places?\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -55 (base 15) to base 4\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 24*w + 26*w - 17*w.\nAnswer: 33*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 2\/(-11) - (-246)\/22. Suppose 4*g - 3*n = n + 196, 4*g = 5*n + 201. What is the greatest common divisor of w and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f - 12 = 2*f. Let y(x) = x**2 + 5*x + 4. What is y(f)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = 20*n**2 - 101*n + 477. What is the least common multiple of 531 and r(5)?\nAnswer: 4248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*x + 2*x - 7*x + 0 - 2.\nAnswer: -5*x - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let -5*o**4\/6 + 205*o**3\/6 + 5*o**2\/2 - 605*o\/6 - 205\/3 = 0. What is o?\nAnswer: -1, 2, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.1 + -1.9. Let r = 0.39 - -0.01. Is k at least as big as r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*j - j**3 + 3*j)*(2*j - 2*j + 11*j**2 + (-2*j + 2 - 2)*(-2*j - j + 2*j) + 2 - 5*j**2 - 2 + j**2 - 4*j**2 + 2*j**2) + 0*j**5 + 3*j**5 - 4*j**5.\nAnswer: -8*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 + 128\/(-18) - (-10)\/(-234)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 777?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1.8 - -1.71. Let g = 1.7 + -1.6. Is g bigger than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = q**3 - 3*q**2 - 3*q + 5. Let s = 12 - 12. Suppose j + s = -1. Let i be (0 + 1)\/j + 3. Let u(c) = c**3 - 2*c**2 - 2*c + 4. Determine i*o(h) - 3*u(h).\nAnswer: -h**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((r**1\/r)\/r)**(-23))**(2\/81) assuming r is positive.\nAnswer: r**(46\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d = 3*i - 0*i + 8, 0 = 3*i. Let o be (-3)\/((-4)\/(-16) - (-14)\/d). Calculate the greatest common factor of 16 and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-13310)\/40 + (-1)\/4. Let y be 2*(u\/(-6) - -2). Suppose -y = -8*i + 3*i. List the prime factors of i.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 84 and 8.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -210120021100 (base 3) to base 16\nAnswer: -67a1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -67\/441518 and 27\/280966.\nAnswer: 3090626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*o - 13 = -2*d, -168*d = -3*o - 161*d - 38 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-r + r**3 + r)*(0*r + 2*r + 0*r - 3*r - r + 2*r + (-4 + 1 + 1)*(1 - 1 - 2*r) + 2*r + 0 + 0 + (-2*r + 0*r + 0*r)*(8 - 9 - 68))*(r + 3 - 3).\nAnswer: 144*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -r**5 + 387*r**4 - 50300*r**3 + 2243072*r**2 - 6094848*r - 8388608 = 0.\nAnswer: -1, 4, 128","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -2\/13, 116\/9, -0.3?\nAnswer: 116\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1\/4 or -96777188?\nAnswer: -96777188","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-7 + (-1 - -9))\/(1\/5). Solve 2*o - h*l + 5 = 0, -2*o = -l + 2*l - 1 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d - 3*k = 8 + 9, 4*k + 15 = 5*d. Let a(p) = 10*p - 1. Give a(d).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = -q**2 + 9*q + 7. Let x be h(5). Let a = x - 22. Solve a*o = -3*f + 7, -o + 2*f - 21 = -3*f for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 i, 1 t, 1 d, and 1 w when four letters picked without replacement from {s: 1, d: 2, t: 1, g: 1, w: 1, i: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*a - 5 = k, -116*k + 112*k = -6*a - 22 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) be the third derivative of j**6\/40 - j**4\/12 + j**3\/6 - 3*j**2. What is the units digit of p(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(4\/19))**(-44) assuming c is positive.\nAnswer: c**(-176\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*s - 9*a = 40, -4803*s + 5*a = -4800*s - 23 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -822 + 0?\nAnswer: -822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve t + 27 = 3400*k - 3396*k, -3*k = -7*t - 114 for t.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) be the second derivative of 7*u**3\/6 - u**2\/2 + 6*u. Is l(8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5442*l + 2739*l + 261792 for l.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round 2081.9637 to the nearest integer.\nAnswer: 2082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c - 7 = 35. Suppose l - 25 = -3*i - 4*l, -3*l = 3*i - c. Solve i = -x + 4 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = -765*d + 31. Let v be n(-7). Suppose -v = -16*l + 7526. What is the tens digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = -2*a + 4. Suppose n = -2*v + 6, -2*n - 5*v + 24 = -4*n. Let t be i(n). Which is bigger: t or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 36479 is divided by 8855?\nAnswer: 1059","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 15886?\nAnswer: 2, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l - 8 = -2*g, -3*l - 9 = -5*g - 6*l. Let r = g - 5. Which is the closest to -2\/5?  (a) -1\/5  (b) -0.5  (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.4 * -26\nAnswer: 10.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Are 152\/7 and 0.1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = o**2 + 3*o - 85. Let b be n(8). Solve -3*g + 8*g + 45 = 5*p, 0 = 3*g + b*p + 3 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 11027 - 11027.5. Which is the nearest to -1?  (a) 3  (b) 0.067  (c) 0.1  (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -2350, -0.796, 1, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 15\/16 of a kilometer in centimeters?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-93)\/(-124))\/(1\/4*7)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00763503 to 2 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 37374 - 4?\nAnswer: 37370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 2, m: 3, d: 1, p: 1, x: 1, u: 4}. What is prob of picking 1 m, 1 b, and 1 x?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = -2*f. Let h(b) = -2*b - 2. Calculate h(d(a)).\nAnswer: 4*a - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 2342876, 2343042, 2343206, 2343368, 2343528, 2343686, 2343842?\n\"Answer: -d**2 + 169*d + 2342708","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 81743310?\nAnswer: 2, 3, 5, 11, 17, 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1231372 divided by 307843.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 456463.\nAnswer: 7, 61, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 u and 1 h when four letters picked without replacement from {x: 1, h: 12, u: 4, b: 3}.\nAnswer: 16\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c - s + 200 = -6*s, 5*s = -4*c - 260. Let r be (3 - c\/27) + 2\/(-9). Suppose -3*j = -4*y - 797, -8*j - 529 = -10*j + r*y. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 41778 to the power of 1\/4, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 6496 + 108.3254?\nAnswer: 6604.3254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w = -2*w + 64. Let r(p) = -3*p**2 - 6*p + 9. Let c(v) = v**2 + v - 1. Let f(y) = 9*c(y) + r(y). What is the remainder when f(2) is divided by w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*f**2 - 1662*f - 555 = 0. Calculate f.\nAnswer: -1\/3, 185","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: (-144918)\/8217*11\/2\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -559578, -559577, -559576, -559575?\nAnswer: -559574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -7782364 rounded to the nearest ten thousand?\nAnswer: -7780000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 204*r - 300 - 720 = 0. Solve -r*m = -5*d + 101 - 96, -5 = -5*d for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = -w**2 - 23*w + 22. What is the hundreds digit of n(-11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 20 + -17. Let q(h) = -4*h + o*h**2 - h**2 + 3*h - 6*h - 23. List the prime factors of q(8).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 5387815985?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 2527?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 191\/1338660 and 22\/333.\nAnswer: 1338660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = k**2 - 8*k + 8. Let i be l(7). Solve 0 = g - 4 - i for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = o**2. Let i(d) = 2*d**2 - 2*d. Let b(z) = -8*z**2 + 9*z. Let l(x) = 4*b(x) + 18*i(x). Determine j(l(a)).\nAnswer: 16*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = 229*j + 2147. Determine y(-10).\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 5821 - 4331. Is 149 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -7481.23 - -7431. Let a = f - 0.77. Let w = a - -50.9999959. What is w rounded to 6 dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5*19*39\/988\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-272 + 24 - 9)*(2 - 4*y - 2 + 0*y).\nAnswer: 1028*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*k + 2127 = 41*k - 5*k - 3637 for k.\nAnswer: 131","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 4 - -56?\nAnswer: 5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -40 + 239\/6. Let x be (-1 + 3\/5)*32. Let z = x - -68\/5. Which is the nearest to -0.1?  (a) f  (b) z  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (8\/6)\/((-2)\/((-18)\/(-3)))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -3 - -4367248?\nAnswer: 4367245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 75 divide 825?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = -q**3 + 13*q**2 + 14*q + 5. Let m be v(14). Let s(l) = l**2 + 5*l - 6. Let j be s(-6). Solve -m*g + 9 + 1 = j for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 155751993?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = -3*a**2 + 12*a - 7. Let o be v(-4). Let p = o - -165. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) be the third derivative of 1\/7*q**3 + 13\/56*q**4 + 27\/140*q**5 + 23\/280*q**6 + 0 + 5*q**2 + 1\/70*q**7 + 0*q. Suppose g(i) = 0. What is i?\nAnswer: -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 70354 = 3162777*c - 3163990*c for c.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 175 is divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-10)\/(5 + 0\/2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3690 rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(2*sqrt(448))**2 + (sqrt(448) - ((sqrt(448) + 1)*3 + sqrt(448)))**2 + -2*(sqrt(448) - -1*sqrt(448))*-5.\nAnswer: 457 + 304*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = 11*s + 67. Let z be y(-6). Solve -c = 4*a - 6*c + 4, 0 = a + c + z for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 88 divide 2389816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from yyhfvhyffhykkyq. What is prob of picking 1 h, 1 y, 1 q, and 1 k?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 16 - -2 - (47 + (8 - 44) + -19)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2 (base 16) to base 8.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express 6037*r - 6038*r + 9*r**2 + 49*r**2 in the form o*r + p + y*r**2 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*g + g + 18. Suppose 357 = 5*b - r, b + 153 = g*b + 3*r. Let q = -11 + b. Is 13 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 37 and 75.6?\nAnswer: 38.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = -6*q - 5. Let u(i) = 12*i + 9. Let x be -5*10\/(200\/36). What is x*c(w) - 5*u(w)?\nAnswer: -6*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-14)\/(-49))\/((-2)\/(-28)). Let r(m) = 4*m**3 - 6*m**2 + 7*m + 1. Does 43 divide r(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 822670483 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 31558621 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 7\/44 and -61\/2964.\nAnswer: 32604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = -592*y + 1767. Calculate r(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11448 = -17*i + 53*i. Let j = 322 - i. Factor 4\/5*x**j + 0 + 12\/5*x**3 + 4\/5*x + 12\/5*x**2.\nAnswer: 4*x*(x + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9962653*t + 9962769*t + 10440 = 0 for t.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t = 15 - 0. Suppose -t*n + 6*n - 116 = 0. Let s = n - -8. Does 21 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -58\/3 + 20. Which is the nearest to t?  (a) 5\/6  (b) 3  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 176 + 1?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 4242434 and 3030310.\nAnswer: 21212170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 4 - -45?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -37\/24161424 and 59\/168.\nAnswer: 24161424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = -i**2 + 9*i - 8. Let c be g(7). What is the second derivative of -8*n - c*n**4 - n + 8*n wrt n?\nAnswer: -72*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 18466118?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*b + 5*w - 19, 2*w - 17 = -3*b - 2*w. Suppose b*k = -0*k + 102. Let p be 1\/((k\/(-4))\/(-1)). What is the biggest value in p, -1, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-105777)\/(-1095) - 95)*10\/(-344)?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -1210 * 152\nAnswer: -183920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (9\/(-2))\/(2\/(-4)). Suppose 2*x + x - 18 = 0. Let b = z - x. Calculate the remainder when 5 is divided by b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -1, -8, -2\/7, 24049?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*-5*sqrt(1375)*-4)\/((1*sqrt(99)*1)\/(-4*sqrt(36)\/sqrt(4))).\nAnswer: -1200*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((z*z\/(z\/(z*z**(1\/5)*z))*z)\/z*z**(-11))**(-21))**26 assuming z is positive.\nAnswer: z**(21294\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -121\/162 and 86\/273.\nAnswer: 14742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 832323 to the power of 1\/3, to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 38*o - 1353 = 36*o - 39*o for o.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -6.1623 - 3816.5377. What is d rounded to the nearest ten?\nAnswer: -3820","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence iy when two letters picked without replacement from qiqiqhqhyy?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) be the second derivative of -11*b**3\/3 + 17*b**2 - 54*b. What is the hundreds digit of l(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -255, -516, -775, -1032, -1287?\nAnswer: -1540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 24 + -21. Let p(j) = -d + 44*j + 4*j**2 - 40*j - 5*j**2. Determine p(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) be the first derivative of -m**4\/12 + 5*m**3\/9 + 93. What is i in w(i) = 0?\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = -x**3 - 22*x**2 + 5*x - 34. Let d be a(0). Let b(z) = -2*z**2 + 3. Let q be 34\/8 - 3\/12. Let f(m) = -11*m**2 + q + 14 - 1. Calculate d*b(c) + 6*f(c).\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 3834 and 30765933?\nAnswer: 1917","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -1220*c + 7360 - 1380*c - 1727*c wrt c?\nAnswer: -4327","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = -926*a - 1860. Determine p(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = 934*s + 62. Suppose -18*r = 96 - 402. Let d be u(r). What is d rounded to the nearest 1000?\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 120 minutes after 5:34 AM?\nAnswer: 7:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gd when two letters picked without replacement from {d: 2, g: 3, r: 2, x: 3, h: 1, e: 1}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-489*w**2 - 587*w**2 + 114*w**2)*(1 + 4 + 0).\nAnswer: -4810*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 21347\/2422 + -252\/173. What is the common denominator of 73\/28 and w?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -37 = -67*w + 164 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + (5*1*sqrt(304))**2.\nAnswer: 7595","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 42, 82, 122, 162?\nAnswer: 202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 90 and 3.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 84163 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = -q**2 + 13*q - 30. Let u be h(9). Let a(j) be the first derivative of 5*j**2\/2 + 2*j + 17. Determine a(u).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) be the third derivative of -b**8\/168 - 8*b**7\/105 - 7*b**6\/30 + 2*b**5\/3 + 13*b**4\/4 - 12*b**3 + 1133*b**2. Solve m(w) = 0.\nAnswer: -4, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) be the third derivative of -f**5\/60 + f**4\/6 - f**3\/2 + 8*f**2 - 2*f. Give y(8).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2841416 to the nearest integer?\nAnswer: 1686","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = -a - 2. Let d be h(-4). Let o(b) = 3*b + 5 + d*b - 2*b - 4*b. Let u(k) = 1. Let v(p) = -3*o(p) + 12*u(p). What is the first derivative of v(g) wrt g?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*n - 2*n = 100. Calculate the remainder when 75 is divided by n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 23534 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Product of 33.2 and -0.3.\nAnswer: -9.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-one halves of a tonne in kilograms?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -4927.58 - 0?\nAnswer: -4927.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g*g**(-1)*g*g)**(1\/20)*((g\/g**(-2\/3))\/g)**(35\/6))\/(g**(-3)\/(g*g**(-2\/11)\/g*g))**3 assuming g is positive.\nAnswer: g**(15289\/990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -666 + -31?\nAnswer: -1030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 7 - 12. Let g(j) be the third derivative of -j**5\/30 + j**4\/12 - j**3\/6 - 38*j**2. Let s(p) = -4*p**2 + 5*p - 2. Give d*g(m) + 2*s(m).\nAnswer: 2*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 525 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -48 + 109. Let o = h + -44. Let f = 3.58 + -1.58. What is the third biggest value in o, 0.3, f?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v + 27 = -5*x, -2 = 2*x + 4. Calculate the highest common factor of 75 and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 50 + -26. Let j be ((-2)\/4)\/((-1)\/32). Calculate the highest common divisor of r and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1565 is divided by 39*(4 + (-32)\/12) - -4.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 292, 1111, 2476, 4387?\nAnswer: 6844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 404793 is divided by 34?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = -2125*j**2. Let b(s) = s**2 - 1057. What is b(g(t))?\nAnswer: 4515625*t**4 - 1057","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(175)*5 + sqrt(175))*-3 - (sqrt(3024) - sqrt(3024)*-2 - sqrt(3024))\/(1*sqrt(192)).\nAnswer: -93*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = 3*f, 2*f = t - 0*f - 821. Suppose 0*z - t = -5*z. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 38 a factor of (-418)\/((-90)\/(-60)*2\/(-6))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0 - -4. Let a(v) = 25*v**3 + 3*v + 32 - t*v - 24*v**3. What is the units digit of a(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(1\/2))**(-1\/5)*(g**(4\/3)*g)\/((g*(g\/(g*g**10))\/g)\/g) assuming g is positive.\nAnswer: g**(397\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = -w. Let h(c) = -c - 5. Let j be h(-8). Let l(k) = -1 + j + 0. Let t(b) = -2*b**3 + 23*b**2 - 79*b + 68. Let y be t(5). Give y*o(m) + l(m).\nAnswer: 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -0.5 times 0.57\nAnswer: -0.285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express -127*m - 1 + 12 - 36*m as y + g*m and give g.\nAnswer: -163","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (sqrt(704) - sqrt(704)*-2) + 3 + -1.\nAnswer: -2 + 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = -d. Let z(o) = -4*o - 1. Give 11*w(f) - 2*z(f).\nAnswer: -3*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p - 15 = 81. Suppose -4*j + 15 = -49. Calculate the highest common factor of j and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 19866, 19873, 19880, 19887, 19894?\nAnswer: 19901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 54\/(-135) - 3\/5\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is -3 != 1800304?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 2441783 to the power of 1\/2, to the nearest integer?\nAnswer: 1563","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 86789628449 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 784247 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 109 + -2 - (-155 + -88 - -258).\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n = 2*n + 2. Let t(u) be the second derivative of u**4\/6 + u**3\/6 + u**2\/2 - 2*u - 1502. Calculate t(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) be the third derivative of -x**5\/60 - 2*x**4\/3 + 25*x**3\/2 + 30*x**2 + 4. What is q(-20)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in 10, 117, -7, 601?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = 8*r**3 - 6*r**2 + 4*r - 4. What is t(2)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 56849?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = -y**2 - 7*y + 3. Give k(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 28.589385 months to years.\nAnswer: 2.38244875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 434460\/(-412737)*342\/(-8)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) be the third derivative of 0*z**3 - 1\/4*z**4 + 1\/12*z**5 + 0*z + 7*z**2 + 0. Find the second derivative of f(w) wrt w.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -246601120 divided by -1180\nAnswer: 208984","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from pteewep. What is prob of picking 1 w and 3 e?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + 2 - (-6 + -1).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 187 is divided by (28\/(-10))\/(65\/(-650))?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 + -10 + 8 - (5 - 0).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -2*g, -4*t + 2*t + 3*g = 7. Let j(x) = -x**3 + 10*x**2 - 10*x + 11. Let p be j(9). Which is the biggest value?  (a) t  (b) p  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + sqrt(80) + (1*sqrt(80))**2 + -1 + 3*2*(0 + sqrt(80))**2)*6.\nAnswer: 24*sqrt(5) + 3384","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 26972?\nAnswer: 2, 11, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 95 is divided by 22.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 499742?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = -z**3 + 21*z**2 + 70*z + 51. Let o be f(24). Sort 4, 2, -5, 64, o in increasing order.\nAnswer: -5, 2, o, 4, 64","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x + 8 = -0*x. Let o(z) = z + 4. Let k be o(-2). Suppose -k*h + 8 = x*h. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ozgozgzzzbbbooz. What is prob of sequence zog?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 5\/4 of a kilometer?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2982*y**2 + 2675 - 2675 + 1500*y**2 + 1508*y**2.\nAnswer: 26*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -36 divided by 20\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (784\/490)\/((-14)\/5)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {w: 1, v: 17}. What is prob of picking 1 w and 3 v?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*-3*((-1*sqrt(136) - sqrt(136))\/sqrt(8) + -2) - 1*(sqrt(34)\/(sqrt(18) - sqrt(2)) - (sqrt(17) + 0 + -3)**2).\nAnswer: 11*sqrt(17)\/2 + 38","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = -u**2 + 6*u + 29. Let b be d(9). Let x = 6 - 3. Suppose -5*c = -b - x. What is the nearest to c in 5, -2\/31, 3?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -t + 3. Suppose 8*c - 693 = t*c. What is the tens digit of 3\/2 - c\/(-14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3187225 a multiple of 575?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = 2*g**2 - 8. Calculate the remainder when u(4) is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = 4*x**2 + x + 1. Suppose 2*q = -2*q - 4. Let l be n(q). Suppose -10 = 5*h - 30. Solve 0*d - l = h*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 750 - 714 = 4*z + 2*c, -3*z = 3*c - 24 for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = -7*l**3 + 3*l**2 + 3*l + 3. Let u(g) = 14*g**3 - 7*g**2 - 7*g - 7. Give 14*j(w) + 6*u(w).\nAnswer: -14*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wu when two letters picked without replacement from fwwfffvfufivvuviuf.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10000100000 - 100001001?\nAnswer: -10100101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -2, -13, 0.4, -0.0444?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = -5*d**3 + d**2 + 3*d + 2. Let y(v) = 4*v**2 + 35*v - 3. Calculate the smallest common multiple of p(-2) and y(-9).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24 + 2 = 2*i. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 262.13 times 0.5?\nAnswer: 131.065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -11 + 6. Let q(r) = -3*r - 7. Let l be q(-2). Let y be l + (-4 - (-81)\/15). What is the closest to y in j, -3, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 227 a factor of 4269759?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 > 4\/83?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 129 a factor of 1904814?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = o**3 + 34*o**2 - 36*o - 39. Let x be i(-35). Let s(y) = -y - 6. Give s(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 + 5 - 2*f**3)*(0*f - 2*f + 0*f) - 256014 + 256012 - 371*f**4 + 125*f**4.\nAnswer: -242*f**4 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.2, -16\/7, 0, -0.1118, 0.1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) be the third derivative of -q**6\/120 + q**5\/60 + 4*q**3 - 10*q**2. Is 9 a factor of b(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) be the first derivative of -4*c**3\/3 - 11. Let p(k) = -4*k**2. Determine p(j(i)).\nAnswer: -64*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert 20 (base 4) to base 5.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 33816 + -33789. Calculate the smallest common multiple of n and -7*(0 + 2\/(-2)).\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -14 - -19. Let q = p + -2. Suppose -q*d - 29 + 146 = 0. What are the prime factors of d?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -h**3 - 17*h**2 - 57*h - 405. Let x be t(-15). Solve 5*j - 2*z + 10 = x, j + 25*z - 26*z = -5 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -182cb4 + 111?\nAnswer: -182ba3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*x = -3*t + 23, -t - 378*x + 190*x + 11 = -193*x for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.70668533 to two dps.\nAnswer: -0.71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -711\/890 + -9\/89. Sort -3\/4, -4\/7, g in decreasing order.\nAnswer: -4\/7, -3\/4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 285*u**2\/4 - 2567*u\/12 + 1\/2 = 0 for u.\nAnswer: 2\/855, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -3.03 + 0.03. Let v = 4 + q. Let z(x) = -3*x**3 + x**2 + x + 1. Let l be z(-1). What is the closest to 0.2 in l, v, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 168 - 98. Suppose k**3 + k**2 + t - 2*k**2 - 18 - 7 - 21*k = 0. Calculate k.\nAnswer: -5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-20)\/8*(-11)\/((-330)\/(-9)) - 1023\/(-220).\nAnswer: 27\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x + 4*x - 2*b = 8, x = -4*b + 12. Suppose -j = -9 + x. Which is bigger: 18\/5 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*z - 131 + 76 = 0. Solve w = z*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*l = 2*l - 5*s - 207, 0 = 4*l + s - 403. Suppose -l = -3*n + 25. Suppose 0 = 4*h - h - n. Is 9 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4\/(-8))\/((2\/(-2))\/(1\/(-4))).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = 4*o + 0*o + 3 + 12*o**2 + o + 11 + o**3. Is 30 a factor of f(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = -2*l - 1. Let h(d) = 3*d**2 - 18*d + 33. Let v(x) = 6*b(x) + h(x). Factor v(q).\nAnswer: 3*(q - 9)*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -11\/49 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) -50  (b) -3  (c) 5  (d) 3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -9844*t**4 - 11*t**3 - 2*t**2 + 23823*t.\nAnswer: -236256*t - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -746509210 + -0.5?\nAnswer: -746509210.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g - g + 34 = 0. Let n = 7 - g. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4194*x**3 + 8523*x**3 - 3105*x**3 - 3 - 2920*x**3 to y*x + m*x**3 + p*x**2 + v and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 8, u: 2, v: 2, m: 1}. Give prob of sequence wm.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.43?  (a) 0.4  (b) -1\/132018  (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 3 - (-14)\/(-4) - 465\/(-6). Let c = -72 + n. Calculate the remainder when (-74)\/(-6) - 4\/(-6) is divided by c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9 + (-8 - -26 - -21) - 42.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 137 + -77. What is the tens digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -2 - (1 + (-4)\/1). Let v = -0.15 + 0.17. Let r = 0.12 - v. Sort 3, r, g in decreasing order.\nAnswer: 3, g, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -89 - -96. Let h = -10 + q. Calculate the common denominator of -46 and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 32, 12, 0, -1 in descending order.\nAnswer: 32, 12, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -2*f + 8. Calculate i(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1\/2*53\/(-159)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = 0*c**2 + 4*c**2 + 0 - 5 - 7*c - 5*c**2. Determine a(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -354.34 to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) be the third derivative of -u**7\/210 + u**6\/90 - u**4\/8 - 9*u**2. Let b(x) be the second derivative of m(x). Find the second derivative of b(t) wrt t.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4*q + q - 3*q)*(-75*q - 3 + 144*q - 73*q) to the form r*q + g*q**2 + m and give r.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let -913066\/5 + 35574\/5*d - 462\/5*d**2 + 2\/5*d**3 = 0. Calculate d.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 53\/36 and -85\/36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 0.2, 12 in ascending order.\nAnswer: -4, 0.2, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 236364 and 192?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 388856 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor 36\/7 - 111\/7*j - 45\/7*j**3 + 117\/7*j**2 + 3\/7*j**4.\nAnswer: 3*(j - 12)*(j - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -1, 0.5, -0.6, -73\/5 in descending order.\nAnswer: 0.5, -0.6, -1, -3, -73\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 103\/2 - 10\/(-20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {i: 3, o: 2, j: 6, t: 2}. What is prob of picking 1 t, 1 i, and 2 o?\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 48861544?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -241 and -4.993?\nAnswer: 1203.313","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -70, 1730, 6652, 16262, 32126, 55810, 88880?\n\"Answer: 261*s**3 - 5*s**2 - 12*s - 314","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -792*l + 795*l - 136530 = 7*i, -182008 = -4*l + 4*i. What are the prime factors of l?\nAnswer: 2, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -5, -0.044, -243, 1\/4 in ascending order.\nAnswer: -243, -5, -0.044, 1\/4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 34 - 64 = -5*b for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 smaller than -1377?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 2, h: 11, x: 1}. Give prob of sequence hhx.\nAnswer: 55\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -173 - -109. Let d be (-32)\/p - 27\/(-2). What is the greatest common factor of 182 and d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (2050\/(-8))\/((-78)\/312) is divided by 147.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l = 4*i - 109 - 554, l = 3*i + 221. Suppose -3*x - 1031 = v - 1155, 88 = 2*x + 2*v. Let j = l - x. What are the prime factors of j?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ixxx when four letters picked without replacement from {w: 1, f: 1, x: 1, n: 1, i: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 56761*m**2 - 28378*m**2 - 2584 + 1082 - 28381*m**2 to q*m**2 + f + k*m and give f.\nAnswer: -1502","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 j and 1 f when two letters picked without replacement from {c: 2, f: 3, j: 5, k: 2}.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2)\/5*-45*(-53)\/159?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 887\/3?  (a) 294  (b) 2\/67  (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 853357 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -504*u + 1 + 907*u + 1 + 612*u.\nAnswer: 1015*u + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from tttaattttttttta. What is prob of picking 3 t and 1 a?\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-21)\/(168\/(-368)))\/((-1)\/17). Is -783 < i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -209 - 6*h**6 - 39*h**4 - 54*h**6 + 48*h**4 + h**4 + 4*h**2 wrt h.\nAnswer: -7200*h**3 + 240*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3256 - 1281 + 2287 + 1408)*(-4 - k**2 + 4) to the form g*k + p + x*k**2 and give x.\nAnswer: -5670","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.02 + -2.636576.\nAnswer: -2.616576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1890 and 567.\nAnswer: 5670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) -0.12  (b) -39\/137  (c) 3\/2  (d) 4\/5  (e) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 33\/(-77) - 42844\/7*15\/(-20) a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 5832, 7385, 9090, 10947, 12956, 15117, 17430?\nAnswer: 19895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h and 1 o when two letters picked without replacement from hohhhohhhohhhhihhooh?\nAnswer: 7\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 25 minutes before 6:10 PM?\nAnswer: 5:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(-2\/9))**(-2) assuming l is positive.\nAnswer: l**(4\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(-10\/7)\/n)\/n**(3\/8) assuming n is positive.\nAnswer: n**(-157\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 + -2 + -1 + 3 + -16 + 20?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3 in -2, -255\/11, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 30441*q**3*z + 20864*q**2*z + q**2 wrt q?\nAnswer: 182646*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = -o**2 + o + 1. Suppose -3*p = 0, 5*f - 5*p + 66 = 26. Let m be f\/12*(-1 - -4). Let t = 3 + m. Let n(i) = 3*i**2 - 3*i - 3. Give t*n(v) + 4*q(v).\nAnswer: -v**2 + v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 0 * -0.053148\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1735816 divided by 216977.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3*f + 0*f + 5*f)*(-2 + 4 + 0) - 4*f + 2*f + 3*f + 2*f + 4 - 10*f + 7*f to the form h*f + v and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (18\/12)\/(2\/(-4)). Let d = -8 - o. Which is the nearest to 0.2?  (a) d  (b) 3\/5  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 62472?\nAnswer: 2, 3, 19, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Divide -8 by 26.\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (15\/10)\/((-3)\/2). Let u(v) be the first derivative of 6 - 1\/2*v**2 - v + 4\/3*v**3. Give u(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 262 divide 175010?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 573\/7*277\/33. Let a = -687 + i. Let q = a + 3\/77. Sort -2\/9, q, -5 in decreasing order.\nAnswer: q, -2\/9, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -2\/7  (b) 0.2856  (c) 112\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ililttliittttlit. Give prob of sequence liii.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of j**3*o*u**3 + j**3*o*u + 52*j**3*u**3 - 46*j**2*o*u**3 - 3*j**2*o - 2*j*o*u**2 wrt j.\nAnswer: 6*o*u**3 + 6*o*u + 312*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -5531, -21232, -47399, -84032, -131131?\n\"Answer: -5233*f**2 - 2*f - 296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (-24)\/(((-9212)\/(-18))\/(-7)) - (-8)\/(-28)?\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = 2*y**3 + 6*y**2 - 8*y + 3. Calculate the remainder when h(2) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = -h + 18. Let n be d(12). Suppose -j - n = -4. Let i be 6\/(-10) - (-116)\/60. Which is the nearest to j?  (a) 0  (b) i  (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -72028 divided by -38.\nAnswer: 36014\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = 7*h**3 + 356*h**2 - 18*h + 1677. Give y(-51).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r\/(r\/r**2))\/r)**(11\/3)*(r**0)**(-28\/3) assuming r is positive.\nAnswer: r**(11\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 1 + 1)*(2 + r - 2)*(-2*r + r + 3*r) - 2 + 3*r + 8*r - 12*r + 74*r**2.\nAnswer: 78*r**2 - r - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/17 smaller than -1\/4423?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*h + h - 8. Suppose 4*o - 3*f = 35, -h*f = 3*f + 5. Calculate the lowest common multiple of o and 4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in seven halves of a micrometer?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6184 = 4*l - m, l + 4*m - 755 = 774. Factor -l + 4*h**2 - 31*h**2 - 21*h + 1551.\nAnswer: -3*(h + 1)*(9*h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10 - -101100011101001111?\nAnswer: 101100011101001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -43, -84, -125, -166, -207?\n\"Answer: -41*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1 or -6\/18289?\nAnswer: -6\/18289","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 352 divided by 88.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 5667 + -4256. Calculate the greatest common divisor of p and 83.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 5172552*k**2*v**2 - 2*k**2*v + 8715*k + 5*v + 1 wrt v.\nAnswer: 10345104*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 664076.7 centuries to months.\nAnswer: 796892040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence en when two letters picked without replacement from eny?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -18*(2 - (-25)\/(-10)). Suppose -o*i + 12 = -8*i. Let j = -8 + i. Solve 8 = q + j*y, 4*q + 2*y = -y + 19 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = -2*v**3 - 31*v**2 - 5*v - 341. Let q be u(-16). Let w = 0.1 - -0.9. Sort q, w, -1\/3 in ascending order.\nAnswer: q, -1\/3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 22721?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = -45*w - 453. Suppose 2*h - 5 = 1. Suppose 4*r - 99 = 5*l + 6, 4*l = -h*r + 102. What is the remainder when a(-12) is divided by r?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 6192 and 10.\nAnswer: 30960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -133, -209, -325, -475, -653, -853, -1069?\nAnswer: -1295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = -2*i**2 - 3*i + 1. Let k be q(-3). Let j be (-24 - 0)*4\/k. Solve -3*r + 0*r = j for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -107*s + 120 = -83*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 268 and 5762?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 3518238 to the power of 1\/4, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 146 a factor of 25932?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 32831 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 17201\/2834 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 < -4\/1192921?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 58e46 (base 16) in base 10?\nAnswer: 364102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide -108 by -15.\nAnswer: 36\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = 3*z**3 - 2*z**2 - 5*z + 15. Let v be k(2). Suppose 0 = 4*i + 9*c - 10*c - 1, 5*c = -5*i - 5. Solve i = 5*x - 4 - v for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -3 + -3. Let n = -6 - z. Let t(o) = o + 1. Let h be t(4). Sort -2, h, n in ascending order.\nAnswer: -2, n, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 141609679 to the power of 1\/5, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert 213 (base 6) to base 5.\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 268*d - 124*d = 133*d. Let t(m) = 2*m**3 + 2*m**2 - m - 10. Calculate t(d).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 120a - -1?\nAnswer: 1210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put together 9.9617 and -0.5.\nAnswer: 9.4617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 6*d**3*v - 13*d**3 - 3*d**2*h**3 - 617*d*h**3*v + 73*d with respect to v.\nAnswer: 6*d**3 - 617*d*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*d = -1008 - 5877. What are the prime factors of d?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 127 - 79. Is a a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 1, u: 11, q: 1}. Give prob of sequence lu.\nAnswer: 11\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 108078176?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 211 minutes before 11:13 PM?\nAnswer: 7:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -125\/266 + -4\/133. Which is greater: 0.31 or f?\nAnswer: 0.31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from okokookkooko. What is prob of picking 4 o?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -344 - -345. Let x be (56\/406)\/((-1)\/(-8)) - f. Is x smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2992 and 704.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express 3881*g**2 - 967*g**2 - 967*g**2 - 977*g**2 - 428 - 971*g**2 as j*g + c + p*g**2 and give c.\nAnswer: -428","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 67 = 5*s - 3*k - 46, s - 18 = -4*k. Let q = 23 + s. Is 15 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 3.4 - 3. What is the closest to -2 in -0.3, m, -0.1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 281 = 21*o + 239 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:46 AM and 7:38 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 3*10\/(-3)*63\/(-14)\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 21, 35, 2, -1020, 1 in increasing order.\nAnswer: -1020, 1, 2, 21, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.0705215 and 16.\nAnswer: -1.128344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: ((-1)\/5)\/(1\/175*(-8)\/(-8))\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find x, given that 8*x**3 - 452*x**2 + 1088*x - 432 = 0.\nAnswer: 1\/2, 2, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = -d**2 + d. Let a be r(-5). Let k be 30*8\/16 + (-5 - 0). Let v be 790\/(-25) - (-6)\/k. Which is smaller: a or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 906908 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 97 minutes after 12:20 AM?\nAnswer: 1:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 3, s: 4, y: 2, m: 1, g: 1, r: 1}. Give prob of sequence qg.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1802854?\nAnswer: 2, 901427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:35 PM and 1:23 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j = -2*h - 3, 7*h - 2*j - 2 = 3*h. Let g(o) = -o**2 - 6*o + 160. Is g(h) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 927?\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 96\/(-1)*(7\/(-2) - -3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 8345875 divided by -1865\nAnswer: -4475","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -58*c**5 - 674*c**4 - 3*c**3 + 9232*c + 127.\nAnswer: -1160*c**3 - 8088*c**2 - 18*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.3*0.051.\nAnswer: 0.0153","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m - 1 = 99. Let b be -6 + (44\/(-220))\/(-1 - 102\/(-101)). Is b greater than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.3?  (a) 2\/11  (b) 2\/7  (c) -0.88\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(255)\/(sqrt(125)*-3))\/(-2*(-4*sqrt(9) - sqrt(9))\/sqrt(3))*2.\nAnswer: -sqrt(17)\/75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 899.2734ng?\nAnswer: 0.0000000008992734","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -601.2036578 to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 1048, 4170, 9364, 16630, 25968?\n\"Answer: 1036*t**2 + 14*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-11)\/(-1) + (-170107)\/17955 + 4\/54. Let 4\/5*x**3 - u*x**2 - 12\/5*x + 0 = 0. What is x?\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) be the first derivative of y**3\/3 - 2*y**2 + y - 2. Suppose -6*u - 4*u = -0*u - 50. Give z(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 24\/(-9)*36\/(-16). What is the remainder when 9 is divided by (-3 + c)*8\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find f such that f**3\/5 - 135022*f**2\/5 + 1620156*f\/5 - 972072 = 0.\nAnswer: 6, 135010","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 74887 or 74880?\nAnswer: 74880","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t\/(t\/(t*((t**(17\/2)\/t)\/t)\/t))*t**(-2\/143)*t)\/((t\/(t\/((t\/((t*t*t*(t**(1\/3)*t)\/t)\/t))\/t)))\/(t\/t**8)) assuming t is positive.\nAnswer: t**(2419\/858)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express 7 - 197*v + 203*v - 171 in the form b*v + o and give o.\nAnswer: -164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3020010 (base 6) to base 9.\nAnswer: -236506","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s - 18 = -4*u, 3*u = -3*s - 4 + 13. Let f be (-1 - 1)\/(s - 2 - -5). Let p = -4 + 4.4. Which is the second smallest value?  (a) p  (b) f  (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2986547 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = -16*s - 72. Calculate o(-7).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put -32, -2, 1, -1 in decreasing order.\nAnswer: 1, -1, -2, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 3685 to the power of 1\/2, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 1888154 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = -7*g**2 - 15*g - 7. Let y(z) = 4*z**2 + 8*z + 4. Let v(j) = 3*c(j) + 5*y(j). Calculate v(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 0.3  (b) -19641  (c) -1\/10  (d) 12  (e) -8.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m = 32 - 7. Let z(f) = 2 + 4 + m*f - 3*f + 0. Calculate z(-8).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) be the first derivative of -35*h**2\/2 + 59*h + 18. Find the first derivative of g(k) wrt k.\nAnswer: -35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) be the second derivative of -15 - 3*b + 0*b**3 + 1\/12*b**4 - 2*b**2. What is z(-4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 531469224 a multiple of 164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -207 - -120. Let r = q - -87. Suppose r = 5*d + 123 - 528. What is the tens digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -494 - -492.6. What is the nearest to -51 in 3, j, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -21 - 16. Let k = s - -42. Let q(x) = -x**3 - x**2 + 2*x - 1. Let u be q(-2). Put 0, u, k in decreasing order.\nAnswer: k, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 77, 108, 127, 128, 105, 52?\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w + 1 = -w + 3*v, -3*v = 5*w - 7. Suppose -5*q - 4 = w*o, -3*o - 2*q + 0*q = -16. What is the highest common factor of 88 and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = z**3 + 6*z**2 - 2*z + 32. Give p(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -101 - 11010010?\nAnswer: -11010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9 = -3*g - 3*c, 23*g - 31 = 30*g + 2*c for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = -5*t + 0 - 10 + 7 + t**2. Determine o(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 84 + (41 - 101 - -38)\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 35647, 71671, 107695, 143719, 179743, 215767?\nAnswer: 251791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -5.9 + 6. Let u = 0.7 + -1. What is the nearest to -1 in 0, d, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 73676  (b) 0.5  (c) -16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1683 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 0, 1436, -4, -3, -2 in descending order.\nAnswer: 1436, 0, -1, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is d (base 15) in base 9?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 m and 1 f when three letters picked without replacement from {b: 5, n: 7, m: 3, u: 1, f: 2}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ccz when three letters picked without replacement from {c: 2, y: 1, z: 1, w: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = 5*o**3 + 12*o**3 + 2*o + 9 - 4 + 3*o**3. Let d(k) = -21*k**3 - 3*k - 6. Let g(i) = -5*d(i) - 6*p(i). Find the second derivative of g(t) wrt t.\nAnswer: -90*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = -2*l**2 - 50*l + 8444. What is i(66)?\nAnswer: -3568","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 195 minutes after 2:33 AM?\nAnswer: 5:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 7429 to the power of 1\/2, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in thirteen fifths of a hour?\nAnswer: 9360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-8)\/(-12)*(-6 - 3). Let q be (3\/2)\/(s\/(-40)). What is the remainder when 33 is divided by (7\/(-3))\/(q\/(-30))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (7\/2)\/((-2)\/(-4)). Let v = -4 + c. Suppose 2*q = 2 + 4. Solve 6 = v*r - q for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) be the third derivative of -7*u**4\/24 - 7*u**3\/6 - u**2 + 167. Calculate m(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 374.538 to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/3 in -1, -7.54, 4\/1317?\nAnswer: 4\/1317","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = -3*o**2 + 2*o + 4. What is z(5)?\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1031909, 2063837, 3095777, 4127729?\nAnswer: 5159693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 - 293164*o + 2 - 8.\nAnswer: -293164*o - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is (57 - 2) + 121 + -143?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -702 - -703. Which is greater: t or 1\/1688?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1770?\nAnswer: 2, 3, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {g: 8, t: 2, r: 5, p: 2}. What is prob of picking 2 p, 1 g, and 1 r?\nAnswer: 2\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -31?  (a) 8  (b) -0.4  (c) -0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*t + 4 - 16. Let y(c) = 61*c**2 + 6*c + 6. Let q be y(t). Let j be ((-68)\/(-10))\/((-2)\/(-10)). Calculate the highest common divisor of j and q.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = -36*x**2 - 15*x - 1. Let b(g) = g. Let f(q) = 3*b(q) + c(q). Factor f(h).\nAnswer: -(6*h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 33.948 - -0.352. Round b to the nearest integer.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*p - 654*f = -656*f + 244, -2*p - 114 = -5*f for p.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) 2  (b) 4.231  (c) -1  (d) -3  (e) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-4)\/((-4)\/(-16)*1). Let h be (-13 - n)*(3 - 2). Suppose -2\/3*k - 2\/3*k**h - 4\/3*k**2 + 0 = 0. What is k?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -8644, -7276, -5908, -4540, -3172, -1804?\nAnswer: -436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*y = 11*y - 20. Let z be (y\/30)\/(1\/2). Let w = -52 - -54. Are w and z equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = -23*m**2 + 470*m + 786. What is t(22)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = 5*l. Let u(r) = 2 - 3*r + r + 2*r + 97*r**2 - 27*r**2. Give u(o(z)).\nAnswer: 1750*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + 86 - 3 - (12394 - 12374)?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = n**2 - 6*n + 4. Is g(21) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from mhhmvnvnnnvvpp. Give prob of sequence phph.\nAnswer: 1\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = r**2 + 2. Let b = -30 + 30. Let k be q(b). Suppose -395 = -a - 2*i, k*a + i = -0*i + 793. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -20 and 11?\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 242 + -238. Suppose 0 = 4*b + x*c - 23 + 7, 0 = 2*c + 2. Solve -5*u - b*l = 0, -3*l + 3 = 4*u - 2*l for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -87 + 14 + (11 - 0 - (13 + -37 + 37)).\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -133*i**2 + 766*i**2 + 36*i**2 - 138*i**2 + 947*i**2 - 2*i.\nAnswer: 1478*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = -4*b - 14. Let q be a(-11). Suppose 0 = -5*f - h + 5*h + 75, 3*h + q = 2*f. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(2\/5))**(-1\/4)\/(z**(-17)*z*z**3) assuming z is positive.\nAnswer: z**(129\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put -184, 2, 4 in ascending order.\nAnswer: -184, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = b**2. Let p(z) = -15*z + 33. Let v(t) = -t + 2. Let f(j) = -2*p(j) + 33*v(j). Calculate y(f(i)).\nAnswer: 9*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 250916 is divided by 765?\nAnswer: 761","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x + 1 - 9 = -w, -w + 7 = 4*x. Suppose -2*q = a + w*a - 16, 2*a - 8 = q. Let n = 6 - 4. Solve -10 - 2 = o + a*i, -n*o + i = 6 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2508 divided by 4?\nAnswer: -627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 180171, 360334, 540497, 720660?\n\"Answer: 180163*h + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 671.180317 times -2\nAnswer: -1342.360634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*x**2 + 33*x**5 + 4*x - 2*x**2 - 18*x**5 wrt x.\nAnswer: 300*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 92997651167 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = -2*l**3 - 35*l**2 + 78*l + 2110. What is k(-14)?\nAnswer: -354","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = -p**2 - 30*p - 81. Give w(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x*x**(1\/5))**(3\/5) assuming x is positive.\nAnswer: x**(18\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express z + 13 - 49 - 29 - 2*z as g*z + l and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 291 divided by -1\nAnswer: -291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 304*h + 301*h - 6 + 969*h)*(-6*h**2 + 3*h**2 + 10*h**2).\nAnswer: 6762*h**3 - 14*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 468098946 minus 2907?\nAnswer: 468096039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(-1\/3)\/n)**(-7\/12)*n\/n**(8\/7)*n\/((n**(-2\/5)\/n)\/n)*(n**2)**36\/(n**(-2\/17)*n*n**8\/n) assuming n is positive.\nAnswer: n**(364957\/5355)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = 3*t - 7. Let i be o(5). Let y = 15 - i. List the prime factors of y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 1\/3  (b) -0.1  (c) 2\/5  (d) 215  (e) -1644  (f) -1  (g) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"}
{"text":"Question: Factor -5*l**3 - 21680*l**2 + 108645*l + 520920.\nAnswer: -5*(l - 8)*(l + 3)*(l + 4341)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h*h**1)\/h)**(-5)\/(h\/h**3*h*h**(1\/11)\/h)*(h*h*h**0\/h*h)**(-2\/47)*h**(-1\/3)\/h*h**5 assuming h is positive.\nAnswer: h**(761\/1551)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) be the third derivative of -w**6\/1080 - w**5\/360 - 2*w**3\/3 + 3*w**2. Let o(u) be the first derivative of s(u). Solve o(l) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2*3\/3*2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 35751.\nAnswer: 3, 17, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Product of 2 and -3318.\nAnswer: -6636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -65 = -5*c + c + 3*a, -4*a = -5*c + 80. Let x be 0\/2 - (0 - 50). What is the highest common factor of c and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) be the second derivative of -2*h**7\/21 + 17*h**6\/30 + 49*h**3\/2 + 290*h. What is the second derivative of g(t) wrt t?\nAnswer: -80*t**3 + 204*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 5*s**3 + 5 - 8*s**3 - 6*s + 6*s in the form f*s**2 + m + r*s + c*s**3 and give m.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 37126 divided by -2\nAnswer: -18563","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is -40220.1 bigger than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 21379 is divided by 61?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1358016 by -5.\nAnswer: 1358016\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort -182, 5, -3, 2\/11, 465, 18.\nAnswer: -182, -3, 2\/11, 5, 18, 465","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*u + 10 = 4*u + 4*t, 3*u = t + 5. Let m(w) be the first derivative of -1\/3*w**u + 5 + w + 1\/2*w**2 - 1\/4*w**4. Suppose m(i) = 0. What is i?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1.4?  (a) -1  (b) 2\/3  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 464 at most as big as 454?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 2\/9 + (-1772)\/36 + 3. Let f = 49 + u. Solve 2*h + 3*z + 4 = 0, 2*z + 24 = f*h - z for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*x - x + x + (-5 + 5 + 2)*(2*x - 2 + 2))*(-2 + 16 - 9)*(-x + 2*x + x).\nAnswer: 60*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(-2)*d*d\/((d\/(d**(-13)*d*d))\/d))\/(d**(-3))**43 assuming d is positive.\nAnswer: d**118","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 1.2 and 6926812?\nAnswer: 6926810.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) be the first derivative of t**3\/3 - 4*t**2 - 2*t - 8289. What is r(10)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -s**2 - 8*s - 14. Determine i(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 8\/3 in 3, -7\/39, -0.2, -0.7, -2\/3, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.2?  (a) -0.2  (b) -1\/8  (c) -1\/4  (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from jkktktkaaajk.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -239 - -2627\/11. Which is the nearest to -1\/4?  (a) w  (b) 0.4  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -2305022*h - 23050214. Determine x(-10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1500)*3)\/(sqrt(36)\/(-2*sqrt(3)))*-1*5.\nAnswer: 150*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3178929598?\nAnswer: 2, 13, 29, 983, 4289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 2721 + -2690. What is the third biggest value in 2\/7, 4\/9, -3\/4, x?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = 13*a**3 - 3*a - 3. Let k(l) = -7*l**3 + 2*l + 2. Give 7*k(h) + 4*y(h).\nAnswer: 3*h**3 + 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h - 11 = 1. Let k = 4 - h. Let v(y) = -3*y**2 + 3*y + 1. Let j(n) = 277*n**2 - 278*n**2 + 0*n + n. Determine k*j(a) + v(a).\nAnswer: -a**2 + a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1010101010 (base 3) to base 10.\nAnswer: -22143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2728.04 decades to months.\nAnswer: 327364.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rgg when three letters picked without replacement from {r: 4, g: 3}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 27 = -10*h - 13. Let o be (-1400)\/3675 + (-2)\/7. Which is the second smallest value?  (a) h  (b) 4  (c) 0.2  (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -3.1 and 28.\nAnswer: -86.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n + 2*s = -3, 3*s + 9 = 3*n - 3. Suppose -u - t = -128 + 44, n*u - t = 450. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -10?  (a) 0.2  (b) -5\/3  (c) 4  (d) 1\/1009\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = y**2 + 43*y + 170. Calculate m(-39).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 divided by 9325?\nAnswer: -4\/9325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 76027 (base 12) to base 13\nAnswer: 55a56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 + 0*m + 680\/7*m**3 - 4*m**4 - 192\/7*m**2 = 0.\nAnswer: 0, 2\/7, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 628 + -283. Suppose w = 6*w - j. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 2, k: 3, b: 1, v: 3, i: 1, z: 9}. What is prob of sequence ss?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c*c*c**(-7)*c*c**(-9\/4))**(-3\/8) assuming c is positive.\nAnswer: c**(75\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 2, a: 2, r: 3, c: 4}. Give prob of picking 1 z and 1 r.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = -k**2 + 15*k - 10. Let p be o(10). Suppose -5*f - p = -15*f. Let t(b) = -3*b + 1. Determine t(f).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 2\/(-3) - 28\/(-63). Which is the biggest value?  (a) 1\/4  (b) -17  (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 382260 and 2760.\nAnswer: 764520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 13706, 13712, 13722, 13736, 13754, 13776, 13802?\n\"Answer: 2*i**2 + 13704","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 59333 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 26 - 7. Suppose 2*j + 20 = 3*d + 6, 3*d - j - a = 0. What is the greatest common factor of 24 and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = f**2 - 24*f + 19. Let u(s) = 2*s**2 - 53*s + 50. Let a be u(26). What is o(a)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 1, p: 6, x: 6, y: 2, i: 1, r: 2}. What is prob of picking 1 y and 1 i?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put together -3700 and -17105043.\nAnswer: -17108743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b = 4, -9*d + 717 = -8*d + 4*b. What is the tens digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 5*s**2 - 645185*s = 0. Calculate s.\nAnswer: 0, 129037","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -1.17  (b) 0.036  (c) 5  (d) 0.5  (e) 3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Do -936 and -3\/25 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -153, -501, -1041, -1785, -2745?\n\"Answer: -2*z**3 - 84*z**2 - 82*z + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = x**3 - 6*x**2 + 2*x - 6. Is q(6) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/21?  (a) 0.2  (b) 1\/23  (c) 0.4  (d) 56\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 1, l: 1, a: 7}. Give prob of picking 2 a.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5 + (-2 - ((-6 - -6) + 3)) + 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4547.6mm to nanometers.\nAnswer: 4547600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -45 + 22 + -5 + (1 - -1)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 0 + 13 - 1 - -2. Let w be (-4)\/z - 30\/(-7). Let d(x) = -x**2 + 4*x + 2. What is the units digit of d(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4\/(-1)*28115\/(-20) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 136*n**2 - 848*n**2 - 1799 - 790*n**2 - 2*n wrt n?\nAnswer: -3004","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of k**3*o**2 + 778*k**3 - 41*k**2*o**2 - o**2 wrt o.\nAnswer: 2*k**3*o - 82*k**2*o - 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 13.0432 or 0.43?\nAnswer: 0.43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = v**3 + 16*v**2 - 9*v - 3. Suppose -2*x - 58 = 3*d, 5*d + 0*x - 3*x + 65 = 0. What are the prime factors of k(d)?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = -2*m**2 - 31*m - 97. Let g be f(-20). Let n = 275 + g. Which is the closest to n?  (a) 74  (b) -0.1  (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n - 7*n + 30 = 0. Suppose 3*s - 3 = n. Let h = -1 - -2. Sort 2, h, s in ascending order.\nAnswer: h, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -179, -4 in descending order.\nAnswer: -3, -4, -179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 127457814?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*-2*((sqrt(84)*-2)\/sqrt(2) - sqrt(168)*-1)\/((sqrt(294)*2 + sqrt(294))*1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = -15*d + 7. Let h(l) = -16*l + 7. Let x(y) = 4*h(y) - 5*t(y). Differentiate x(q) with respect to q.\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:25 AM and 9:12 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i**15\/((i*i*i**20)\/i) assuming i is positive.\nAnswer: i**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 184081359?\nAnswer: 3, 7, 11, 796889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 209.0368 - 0.0368. Let j = 151.5 - z. Let x = j + 58. What is the second smallest value in x, 0.4, 0.2, 0?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 41\/2 of a meter?\nAnswer: 2050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) -4\/13  (b) -1  (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/3 in 65, -1\/3, 0.08, -0.5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4815745?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort -57, -14, 3271.\nAnswer: -57, -14, 3271","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-4)\/(-22) + 0 + (-216)\/(-22). Let r = 2 + -4. Let g be r\/(-6) + p\/6. Solve -3*h - 3*u = 12, 2 = -3*h + 5*u - g for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 80*(-6 - (-572)\/104).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = 2*k**2 + 2*k + 1. Let h be z(-2). Suppose -5*o - 2*b = -18, -h*o - 5*b + 12 + 3 = 0. Sort o, 17, -1 in increasing order.\nAnswer: -1, o, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2184 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*h + 8*h + 10*h + (1 - 5 + 3)*(-2*h + 2*h - 2*h).\nAnswer: 16*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: (2 - 1) + 4 - (54 + -49)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 436.092 times -123?\nAnswer: -53639.316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = p - 4 - 2*p - 10*p - p**2. Let u be x(-10). Let z be (-12)\/(-8)*260\/u. Calculate the greatest common divisor of z and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + 4 + sqrt(98).\nAnswer: 5 + 7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 44213140 (base 5) to base 14\nAnswer: 9d46b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = -a**3 + a**2 - 2*a - 4. Determine w(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round -2.35464168 to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 17471 + -11800. Suppose 0 = 3*c - 5*r - 3492 - 740, -r = -4*c + l. List the prime factors of c.\nAnswer: 3, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 258*i + 17*i**2 - 397*i + 3*i**2 as j + z*i + c*i**2 and give z.\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Does 61 divide 13249?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify a\/a**(-1)*a**(5\/9)*a assuming a is positive.\nAnswer: a**(32\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -3102\/37 - -96045\/1184. What is the common denominator of -151\/12 and d?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 + 26 = 2*h - 5*j, -2*h + j + 15 = 0. Suppose r - 9 = -2*r. Suppose h - r = p. Solve 3*g + 3*i - 17 = 2*g, -p*g + 11 = -i for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*m - 11 = -3. Suppose -6 = h - 2*h. Let f be 2\/(m*h\/(-9)). Solve o - 5 = w, 3*o - 3 = -4*w + f*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = f**2 - 7. Let q(j) = -j + 15. Let h be q(12). What is u(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -8 divided by 82?\nAnswer: -4\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -169494*c**4 - 3027435*c.\nAnswer: -2033928*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 333228?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.7 in 5, -0.9, 0.173?\nAnswer: 0.173","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(sqrt(63) + 2)**2 + ((sqrt(126)\/sqrt(2))\/sqrt(9) + sqrt(343)*-2)**2.\nAnswer: 48*sqrt(7) + 1451","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express -47 + 19620*c + 47 + 1784*c + 1574*c as k + v*c and give v.\nAnswer: 22978","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = 4*w - 7. Suppose -w*s = 5*z - 2*z - 14, 4*s - 16 = 0. Let d be (-9)\/(162\/(-48)) + z\/(-3). Solve -d = -3*j + 7 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**1\/h)**(-15\/2)\/(h**2)**(-15\/8) assuming h is positive.\nAnswer: h**(15\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1768?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = 191 - 168 + 2*u**2 - 3*u**2 + u**3. What are the prime factors of c(8)?\nAnswer: 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 8345784337789.4 and -0.2.\nAnswer: 8345784337789.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = 21*s**2 - 66 + 3*s - 11*s + 29 + 31. Is 23 a factor of d(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k\/(k*k**(2\/9)*k)*k*(k*k\/(k*k**(1\/2))*k*k)\/k)\/(k**4*k*k\/(k**(1\/7)\/k*k))*((k\/(k*k**1))\/(k\/k**0))**(-2\/85) assuming k is positive.\nAnswer: k**(-48541\/10710)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*f = -214 + 4750. Does 23 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000673 rounded to four dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 96 divided by -16.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) 2\/7  (b) -0.731738  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -6604 - 328*j + 396*j**4 + 6604 wrt j?\nAnswer: 4752*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1440 and 996750?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 51.91746 litres in millilitres?\nAnswer: 51917.46","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = g**2 - 28*g - 97. What is w(32)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.3 + 0.2. Let a be -7*(-1)\/(-2 + 3). Suppose -4*n + 20 = 0, 4*p - 2*n - n = -a. Put p, -0.5, k in descending order.\nAnswer: p, k, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 803706.9 years?\nAnswer: 9644482.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = -83 + 5*a + 41 + 2*a + 48. What is q(-2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 154 - 171. Let o(v) = v**3 + 16*v**2 - 17*v + 3. Let u be o(n). Solve -12 = 3*s + u*c, 4*s - 3*c + 0 = -9 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-4 + (4 - -100))*6\/4. Let g be 505499990\/75 + (-4)\/b*-5. What is g rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3, -78, -213, -402, -645?\nAnswer: -942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -87 + -35 + (266 - 84).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 23.3 - 16. Let c = k + -7. Let w = 0.808 - 0.708. What is the second smallest value in w, c, -6?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 1457?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ommt when four letters picked without replacement from fomgomtmomg.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (78*c + 30*c + 219*c)*(3*c - 4*c - c)*(c + 1 - 1) + 7 - c**3 - 7 + c**2.\nAnswer: -655*c**3 + c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -4 + -353?\nAnswer: -401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 255 minutes before 1:48 PM?\nAnswer: 9:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -9 divided by -2276\nAnswer: 9\/2276","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 708 minutes after 11:05 AM?\nAnswer: 10:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1500) - 1*sqrt(1500))\/((sqrt(150)\/sqrt(3))\/sqrt(10)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2580, -5200, -7820, -10440, -13060, -15680?\nAnswer: -18300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = a**3 - 10*a**2 + 8*a + 9. Suppose 2*l - 2*t = -2*l + 46, -3*t = -2*l + 33. Let m be c(l). What is the units digit of (-18)\/(2 + (-4 - m))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 7391?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -32 + 34. What is the third derivative of 10*z**6 - 3*z**4 - 2*z**6 + 3*z**4 - 6*z**g wrt z?\nAnswer: 960*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -10*b**2 - 9*b**2 - 4*b**2 + 2*b**2 + b - b + (2*b + b - 4*b)*(1 - 1 + 4*b).\nAnswer: -25*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = -181893*d + 13460075. Determine o(74).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in 0.4, 0.01, 2, -25, -142?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 33, 63, 93, 123?\nAnswer: 153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(sqrt(1053)*1 + -1)*-4*-3.\nAnswer: -36 + 324*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 5.08 - 5.82. Let z = 2.26 - g. Which is the closest to 2\/5?  (a) -21  (b) -1\/6  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:10 PM and 6:10 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = t. Let p(x) = -5*x. Let r(g) = 4*k(g) + p(g). Let s be r(-2). What is the first derivative of -b**s + 2*b**2 - 2 + 0 wrt b?\nAnswer: 2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1386 and 77374?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*i + 3 + 4*i**2 - 17*i + 11*i to q + u*i + x*i**2 and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:37 AM and 2:42 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -y - 5*c + 48, -12*c + 114 = y - 18*c. Solve 37*v - 41 = y*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z - 2*z = -40. Let j(a) = -z*a - 5 + 3 + 10*a + 7*a**2. What is the lowest common multiple of 16 and j(-2)?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -c + 467c?\nAnswer: 4670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 198 - 1384\/7. Let d = 213.222 + -213. Let q = d - -0.078. What is the closest to r in q, -0.3, 13?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = -7*l**2 + 4*l + 18. Let h(i) = i**2 - 1. Let p(n) = 6*h(n) + u(n). Let c be p(-2). Let d = -1781 + 33825\/19. Which is smaller: c or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.664 - 6787097\nAnswer: -6787097.664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -1011001100000001011 (base 2) to base 11\nAnswer: -230486","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 10804?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - h + 3)*(-8*h + 2*h - h)*(3 - 3 + 1).\nAnswer: 7*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = -2*w**2 - 3*w. Let u(p) = -p**2 - p - 1. Suppose 5*n + t = -t + 3, 5*n - 4*t - 9 = 0. Let c(g) = n*m(g) - 3*u(g). Determine c(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 38522750*c**3 - 44642215*c**2 wrt c.\nAnswer: 231136500","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3976?\nAnswer: 2, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 262144?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = -87*d - 1. Let j be c(-1). Let b = j - 57. Calculate the remainder when b is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 12.187291 and 7370.\nAnswer: 7382.187291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*j - 63 + 18. Let p = -10 + j. Let o be p\/6*9\/(-30). Does 1 = o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5700.\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of t*y**6 - 4*t*y**5 + 10*t*y**3 + t*y**2 + 149*y**2 wrt y.\nAnswer: 120*t*y**3 - 240*t*y**2 + 60*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 20, 48, 94, 158, 240?\nAnswer: 340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = -g**2 + 11*g + 4. Let i be d(0). Let u(q) be the first derivative of 0*q**2 - 1\/4*q**4 + 0*q**3 + i + 0*q + 1\/5*q**5. Find h such that u(h) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-223 + 306 + 694)*(-3*c + c + 4*c + (-1 - 2 + 2)*(c - 5 + 5) + 2 - 2 - 2*c).\nAnswer: -777*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (5*h - h - 5*h)*(4*h - 4*h + 5*h)*(-6 + 2 + 0) to the form m + g*h**2 + x*h and give g.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(396) - (sqrt(396) + -2)*-4) + -5)**2 + (sqrt(66)*1*2)\/(sqrt(6) + (sqrt(6) - sqrt(54)*-3)).\nAnswer: -8578*sqrt(11)\/11 + 10069","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*o + 41 = r + 24, 4 = -4*r - 2*o for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*a**2 + a**2 + 7*a**2 - 13*a**2 as y*a + d*a**2 + v and give d.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = -2*c - 1. Let r(x) = x**3 + x**2 - 19*x - 12. Determine 6*k(j) - r(j).\nAnswer: -j**3 - j**2 + 7*j + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {l: 1, n: 1, i: 2, v: 2, j: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 4276, 4291, 4298, 4297, 4288?\nAnswer: 4271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (1 + -1)\/(5 + -4). Suppose -181 = 5*x - 2*c, q = -5*x - 5*c - 103 - 57. Let z = x + 52. List the prime factors of z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -4813 or -0.0378?\nAnswer: -4813","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -3164.12318 rounded to one dp?\nAnswer: -3164.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Are 1 and -1\/15189 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1110111101000 - 1?\nAnswer: -1110111101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = -5*z - 4. Suppose 2*c - 2*d - 3 = -9, -2*d = c - 9. Let s be (0 + -4)*1\/c. Calculate w(s).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1974*o + 308 = 1988*o. What is the least common multiple of o and 48?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/17, -19869, -123.\nAnswer: -19869, -123, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p**(3\/5)\/p)\/p)\/(p\/(p\/(p\/(p\/(p*(p**(3\/11)\/p)\/p*p)))))*(p\/(p**2\/p*p*p))\/p**10 assuming p is positive.\nAnswer: p**(-752\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = -17*a - 9. Let m(u) = 65*u + 35. Let v(t) = 4*m(t) + 15*s(t). Let y(g) = 6*g + 6. Let j be -5 - (-3 + (0 - -1)). Give j*y(h) + 4*v(h).\nAnswer: 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 16 divided by 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 2 - -11. Let l = t - -9. Let b(d) = -17*d**3 - 54*d - 53. What is the smallest common multiple of b(-1) and l?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1 - -3. Let j(z) = -z**2 + 13*z + 54. Calculate the smallest common multiple of a and j(16).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 705 divide 3405855?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = u**3 + 8*u**2 - 3*u - 18. Let k be n(-8). Let s be -5*(0 - k\/(-15)). Which is smaller: s or -3\/2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v**5\/2 + 216*v**4 - 55389*v**3\/2 + 902615*v**2 - 1723008*v + 847872 = 0. What is v?\nAnswer: 1, 46, 192","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 520 and 46670.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/72, 68, -23.6, 0.\nAnswer: -23.6, 0, 1\/72, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((q\/(q\/q**(-2)))\/q)\/q)\/((q*q**(1\/3)\/q)\/q))\/(q**(-1))**(-48) assuming q is positive.\nAnswer: q**(-154\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from peeepeeeppeeeepeeip. What is prob of sequence eeei?\nAnswer: 55\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 79623?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -4 - -15. Is 11 at least as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = -13*y - 1338. Let u(v) = -11*v. Calculate u(l(q)).\nAnswer: 143*q + 14718","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 34 + -11. Let h(l) = -38 + 16 + z. Let b(n) = 107 - 108 - 3*n + 2*n. Determine b(t) - 2*h(t).\nAnswer: -t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-five quarters of a second in milliseconds?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*t = -56 + 72 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1410?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2950082807 to the nearest integer?\nAnswer: 54315","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in three tenths of a gram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3\/2?  (a) -1  (b) -0.4  (c) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1458 - 948. Suppose -4*l = 30*l - i. Calculate the greatest common factor of 645 and l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 29\/178390719 and -31\/30494140.\nAnswer: 3567814380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -14*q + 35075 + 58879. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 386454 is divided by 709?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5 - 298*c**2 + 395*c**2 + 4 - 3 - 431*c**2 + 2.\nAnswer: -334*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.094 in 2\/7, -2\/9, 889?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 60 + -119.5. Let u = -60 - a. Put 0.3, u, -11, -5 in ascending order.\nAnswer: -11, -5, u, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from okaakkaokaoka. What is prob of sequence kk?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 9\/6*10*((-46360)\/(-183))\/95.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n + 5*j = 7, 3*n = 4*j - 4 - 2. Suppose -5*r - 2*v - 2*v = -38, n*r + 4*v = 20. Calculate the remainder when 454 is divided by r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1284 divided by 3.\nAnswer: 428","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 777 and 112454211.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Add 0.2 and 0.1326746.\nAnswer: 0.3326746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 1\/4, -0.134, 2, 4\/3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 4340.811 + -4338. Let r = a - 2.8. What is r rounded to 3 decimal places?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 142*o**2 - 15415*o**3 + 15428*o**3 - 142*o**2.\nAnswer: 13*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Work out -475962.004429065 - -0.1.\nAnswer: -475961.904429065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = -a**3 - 4*a**2 - 2*a - 6. Let t be n(-4). What is the third derivative of -j**t - 2*j**5 - j**4 + j**4 wrt j?\nAnswer: -120*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-2)\/6)\/((-7)\/21777) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 77 - 74. Which is the nearest to -1?  (a) -4  (b) -0.3  (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -20.9005 to 1 decimal place.\nAnswer: -20.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 17309?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 4173060*i**4 + 71534 wrt i.\nAnswer: 16692240*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -9006031, -9006029, -9006027, -9006025?\n\"Answer: 2*u - 9006033","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**12\/h*h)**(-22) assuming h is positive.\nAnswer: h**(-264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Does 561 divide 3516346651?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = -6*m**2. Let o(u) = 6*u. What is o(q(k))?\nAnswer: -36*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6239746?\nAnswer: 2, 1223, 2551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:16 AM and 11:11 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(sqrt(170)\/(sqrt(40)\/(sqrt(8)\/sqrt(2))) + 2*(sqrt(17) + -1 + sqrt(17) + -5)).\nAnswer: -25*sqrt(17) + 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 38\/20636397 and -5\/144454779?\nAnswer: 144454779","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 q, 1 a, and 1 m when three letters picked without replacement from {t: 3, q: 4, a: 1, p: 1, m: 10}?\nAnswer: 40\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 497683287103 and 8?\nAnswer: 497683287095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -n - 2*t + 7*t + 19, 2*t + 6 = 0. Suppose x - 3*x = -n. Let s(o) = o**2 + 11*o + 14. Calculate the remainder when s(-10) is divided by x.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = 19*q**2 - 4*q. List the prime factors of x(2).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1 or -23\/24366615?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find i, given that 2*i**4\/5 + 54*i**3\/5 + 292*i**2\/5 + 48*i = 0.\nAnswer: -20, -6, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 501 minutes before 10:02 PM?\nAnswer: 1:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -484  (b) -4  (c) 1.2  (d) -10  (e) 0.7  (f) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 7*7 - ((-1)\/1 + 5). What is the second derivative of 2*w**2 - k*w**5 + 3*w + w**5 + 2 - 2 - 4 wrt w?\nAnswer: -880*w**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 130039, 260076, 390113, 520150, 650187, 780224?\n\"Answer: 130037*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = -6*g**3 - 4*g**2 - 640. Let b(f) = -f**3 - f**2 - 128. Let v(q) = 16*b(q) - 3*c(q). What is the first derivative of v(n) wrt n?\nAnswer: 6*n**2 - 8*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = -3242*o - 3*o**2 + 3242*o + o**2. Let h(d) = -10*d - 1. Calculate h(k(m)).\nAnswer: 20*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 12496.26551 < 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -40 - (-15 - (-37 - -40)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2160 + -2167. Let s = 65 + 3. Let v = s - h. What is the tens digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1179 divided by -5\nAnswer: -1179\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-55)\/(-2640)*120*6*(-18)\/10.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -719164, -2867673, -6448526, -11461729, -17907288?\nAnswer: -25785209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -1\/2  (b) -0.042  (c) -1  (d) -2  (e) -248  (f) -6\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-28)\/35 + (226\/(-80) - -4)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 990?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Divide 486695 by 10.\nAnswer: 97339\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 10473 - 10469. Which is the second biggest value?  (a) -17859  (b) k  (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = -g**2 + 2*g + 2. Let f be l(2). Suppose 0*t - t = -f. Calculate the remainder when 4 is divided by t.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 812125866 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = 41*g**2 + 245*g - 1007. Is z(4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f + 9 = -21. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zzyyzyyzyyyzvyyyyy. What is prob of picking 1 v, 1 z, and 1 y?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -843 in 1, -0.2, 4, 3, 0.26?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 172537\/37 - 4663. Is 36 bigger than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -11725087 + 11725086.952200442. Let z = m + 0.0478. What is z rounded to seven decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*q**4 + 0*q**4 + 32*q**4)*(160*q - 345*q + 160*q) + (-3*q**5 - 4*q**5 + 5*q**5)*(-1 + 3 - 1).\nAnswer: -802*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -100 = -3*c - c. What is the remainder when c is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = 3*r**2 + 8*r + 3. Let t(v) = -3*v**2 - 7*v - 2. What is 4*d(y) + 5*t(y)?\nAnswer: -3*y**2 - 3*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rrrrdrrrdrdr. Give prob of picking 2 r.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Are 3568 and 3552 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -1263000 rounded to the nearest ten thousand?\nAnswer: -1260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y*y**(-10)*y*y*(y\/(y\/((((y\/(y\/(y*y**(-2\/17))))\/y)\/y)\/y))*y)\/y*y**(-2)\/y**(-3\/4) assuming y is positive.\nAnswer: y**(-705\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k = -3*k - 1. Calculate the remainder when (2*k)\/(2\/8) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h = 5*p - 4*h - 15, 4*h = -20. Which is the fourth smallest value?  (a) 2  (b) 0.06  (c) 1\/14  (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = 3*c**2. Let i(k) be the first derivative of 13*k**2\/2 - 4. Determine i(x(u)).\nAnswer: 39*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 9 - 3. Does 16 divide (116\/(-6))\/((-2)\/l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5 = p + 24*t - 23*t, 23 = 4*p + 5*t for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*u**3 + 188*u**2 + 1328*u - 1520 = 0 for u.\nAnswer: -38, -10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = 2227*n - 54. Let r(p) = 1112*p - 25. What is -13*r(z) + 6*v(z)?\nAnswer: -1094*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -254 + 82 = -u. Is 15 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -10108341, -10108342, -10108343, -10108344?\nAnswer: -10108345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify r**(1\/8)\/(r**(-10\/13)\/r*r) assuming r is positive.\nAnswer: r**(93\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*n = 2*y - 18 + 10, -2*n - 2 = -y for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jtb when three letters picked without replacement from djtctbb.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3.69203l to millilitres.\nAnswer: 3692.03","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -265.08868 + 392.863. Let s = 95.7739 - u. Let i = -32 - s. Round i to 4 decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 47766358 to the nearest integer?\nAnswer: 6911","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 662 + -4632\/7. Let t be 0\/(-4) - 2\/8. What is the nearest to 2\/7 in t, -4, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = n**2 - 8*n - 15. Let w be t(10). Suppose 4 = b - w*p + p, 4*b + 2*p - 16 = 0. What is the remainder when 8 is divided by b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -11*n**3*x - 3*n*x + 3*x - 21 wrt n.\nAnswer: -33*n**2*x - 3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0 + 0. Let m = 6 - z. Is 328\/m - 3\/(-9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -72a29 (base 11) to base 13\nAnswer: -3956b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1421448 is divided by 23302?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -a06 + -112?\nAnswer: -b18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*m + 5 = 14. Let f(w) = 19*w**2 - 1. Give f(m).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -372, -748, -1122, -1488, -1840, -2172, -2478?\nAnswer: -2752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -22, -66, -182, -406, -774?\n\"Answer: -6*d**3 - 2*d - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide -406 by 1.\nAnswer: -406","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 813694*w**4 - 687596*w?\nAnswer: 9764328*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = 112*x**2 + 51*x - 9. What are the prime factors of t(9)?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let p = 114687\/97160527 + -17\/11923. Let s = p - 16080\/888241. Which is smaller: 0 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 61285 is divided by 338.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = -2*u**2 + 3*u + 2. Let x be c(2). Factor 0 + x*f + 2\/5*f**4 - 4\/5*f**3 + 2\/5*f**2.\nAnswer: 2*f**2*(f - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(11) - (sqrt(704) + 4))**2 + ((sqrt(11) - (5*sqrt(539))**2) + sqrt(11) - sqrt(11)).\nAnswer: -12920 + 57*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1546\/(-4638))\/(1\/93).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (18\/108)\/((-2)\/12) - (-10)\/((-150)\/(-555)).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = -i**3 - 8*i**2 + 32*i + 5. Let p be d(-11). Calculate the remainder when (585\/12)\/(6\/p) is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = -q**2 + 7*q + 2. Let l(p) = -6*p + 98. Let t be l(15). Calculate w(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 2\/7 + 430\/(-35). Let r(j) = j**3 + 13*j**2 + 14*j + 26. Let w be r(v). Suppose 0 = 5*x - 0*x + t - 442, 2*t = -w*x + 172. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w - 3 = 0, 3340*c = 3339*c + 5*w + 15. Factor 0 + 2\/7*m**3 + c*m + 6\/7*m**2.\nAnswer: 2*m**2*(m + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -285 (base 10) to base 14\nAnswer: -165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2390098 by -1195049.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or -235\/103?\nAnswer: -235\/103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 280.508 centimeters in meters?\nAnswer: 2.80508","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + (-6*5*(-1 + sqrt(20) + -4))**2.\nAnswer: -18000*sqrt(5) + 40500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 62 a factor of 214954?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 308 and 92868116.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 268333163?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) be the third derivative of -n**6\/45 - n**4\/3 - 7*n**3\/6 + 4*n**2. Let r(k) be the first derivative of c(k). What is the derivative of r(w) wrt w?\nAnswer: -16*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find h, given that -4*h**5 + 352*h**4 + 25044*h**3 - 244208*h**2 + 666560*h - 447744 = 0.\nAnswer: -53, 1, 4, 132","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 2 - (-1 - 0*(-6)\/36). What is the second derivative of 227*z**2 + 1 - 3 + 25*z - 33*z**f - 227*z**2 wrt z?\nAnswer: -198*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = i**3 - 9*i**2 - 11*i + 10. Let f be g(10). Suppose 4*m = 2*p - f*m - 20, 0 = -3*p + 4*m + 20. Suppose n - 80 + 26 = p. Does 23 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -1\/82, 0.4 in increasing order.\nAnswer: -2, -1\/82, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -0.0044 times -1.4\nAnswer: 0.00616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 246*m**3 + 166*m**3 - 410*m**3 + 16*m.\nAnswer: 2*m**3 + 16*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 9\/5*30\/9. Find the third derivative of -18*r**m + 0*r**2 + 16*r**6 + r**2 wrt r.\nAnswer: -240*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (7 + -9)*(2*5)\/1. Let o = q - -23. What is the third derivative of 6*x**4 - x**3 + 3*x**4 - 11*x**2 + x**o wrt x?\nAnswer: 216*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (98*a - 101*a + 203*a)*(164 - 5*a + 2*a**2 - 162 - 3*a).\nAnswer: 400*a**3 - 1600*a**2 + 400*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 21 + -20.81. Let x = -0.2 + v. Let j = x - -0.0099979. Round j to 6 dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (34\/119)\/(1\/7). Suppose 0 = 3*o + f - 1633, -4*o = -o + l*f - 1634. Suppose -4*y - 4*d + o = 0, -1 = 2*d + 3. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 6277 - 6252. What is the remainder when v is divided by (69\/(-6))\/((-3)\/6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.038916 rounded to 3 decimal places?\nAnswer: -0.039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 22046869 is divided by 229?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = 898*f**4 + 5*f**3 + 10*f**2 + 41*f + 9. Let n(k) = -k**3 - 2*k**2 - k. Let s(w) = m(w) + 5*n(w). Find the second derivative of s(c) wrt c.\nAnswer: 10776*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 - -3 - ((71 - -3) + (-3 - (-40 + 32)))?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = -5*t - 2*j + 6, 4*t - 17 = j. Let a(c) = 2*c**2 + 4*c + 2. Let h be a(-4). Let i = h + 2. What is the greatest common divisor of i and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -6, -1, 1, 214, -623, 0, -4 in decreasing order.\nAnswer: 214, 1, 0, -1, -4, -6, -623","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*b = 6*b + 30. Calculate the highest common divisor of b and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = l**3 - 5*l**2 - 7*l + 5. Let n be s(6). Let y be (-1)\/(-12)*n*-3. Factor -1\/4*x**5 - 1\/4 - 1\/4*x + 1\/2*x**2 + 1\/2*x**3 - y*x**4.\nAnswer: -(x - 1)**2*(x + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = 3*i**2 - 53*i - 170. Is 6 a factor of k(-25)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = -b**2 + 8*b - 8. Let i be r(6). Suppose 1 + 3 = -i*t, 0 = 2*s - 4*t + 46. Let x = 44 + s. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -302, -602, -880, -1124, -1322, -1462, -1532, -1520?\nAnswer: -1414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -304*z + 24 = -4*y - 300*z, -4*y + 39 = 5*z. Sort 13, 4, 0, 8, y in decreasing order.\nAnswer: 13, 8, 4, y, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*a - 15 = -z, -20 = -5*z + 17*a - 18*a for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = 212*r**2 - 132*r - 1980. Let y be n(85). What is y rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 417, 531, 647, 765?\n\"Answer: n**2 + 111*n + 305","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1078 and 770?\nAnswer: 5390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.04 - 0.04. Let r be 54\/15 + (-2)\/(-5). What is the second smallest value in j, -0.2, r?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 532952 bigger than 532954?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-4)\/(-8)*(-1 - 2 - 1). Sort 0, t, 0.4, 5 in descending order.\nAnswer: 5, 0.4, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*h - 2*g + 16 = -6*h, 2*h - 14 = 2*g for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 59 + -58. Let k = 3.2 - 3. Let z = 0.3 - 0.4. Which is the third biggest value?  (a) z  (b) k  (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = 690896*f**2. Let g(m) = -6*m. Give a(g(i)).\nAnswer: 24872256*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 55427?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 0.2  (b) 2  (c) 4  (d) -1  (e) 39\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:37 PM and 8:34 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -144008 + 144035. Calculate the remainder when (-45)\/(-6)*(-104)\/(-6) is divided by k.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 0 + (-1 + 4 - (11 + -10)). Solve 3*x - 29 = -a - l*x, 0 = x - 5 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-6)\/(-14))\/((-60)\/(-42)).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {u: 2, v: 1, j: 11, o: 2}. What is prob of sequence oujj?\nAnswer: 11\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) be the first derivative of -2*i**3\/3 + i**2\/2 + i - 1. Let g(j) = -j - 12. Let o be g(-12). Suppose o*t = -4*t + 8. Give u(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = 3139*y**2 + y + 9. Let v(q) = 4708*q**2 + q + 14. Let j(p) = 8*g(p) - 5*v(p). What is the thousands digit of j(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {q: 1, u: 2, a: 4, p: 1}. Give prob of sequence qapu.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1187962190?\nAnswer: 2, 5, 23, 61, 84673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 112*k - 81*k - 436294. Is k a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 925661903.\nAnswer: 43, 21527021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*b**3 - 61*b**2 - 3*b**3 - 5*b**3 + 3*b**3 + 5 + b - 108*b**2.\nAnswer: -2*b**3 - 169*b**2 + b + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.17 - 0.169993. What is u rounded to five decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 166 a factor of 13292?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -18 + 33. Let s(d) = 4*d. Let i = 8 - 6. Calculate the remainder when b is divided by s(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*u + 3*v + 21, 81 = -2*u - 3*v + 63 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {o: 7, v: 5}. What is prob of sequence ovvv?\nAnswer: 7\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 1456\/(-208) - (0 - 6)*1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 3 + -25. Let g = -18 - z. Which is the closest to -1\/4?  (a) g  (b) -0.1  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k = -3 + 1. Solve -q**2 + 2*q + 0*q**2 - 2*q**2 + 4*q**k = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 90 and 76902?\nAnswer: 1153530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-16*b - 19*b + 185*b)*(3 + 4 - 5 + 2 + 1 - 2 + (0 - 2 + 3)*(2 - 4 + 0)).\nAnswer: 150*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.7482536 litres in millilitres?\nAnswer: 748.2536","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 346 = -q - 38*c, q - 2*c + 6 = 20 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-4)\/(-10)*-5 - -1)*(-70)\/14.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = -g - 5. Let w be p(6). Let x = -3 - w. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00000106 to five dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*g**2 - 5*g - 6*g**2 + 8*g**2.\nAnswer: 8*g**2 - 5*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 17, -2, 1.\nAnswer: -2, 1, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1444884 by -2163.\nAnswer: 668","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let -3944*z**4 - 11738*z**3 - 7518*z**2 + 452*z + 176 = 0. Calculate z.\nAnswer: -2, -1, -4\/29, 11\/68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 3 + z)*(3 + 7 - 4) - z - z - 2*z + 8*z - 1 + 1.\nAnswer: 10*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = -34*b**2 + 51*b. Let t(v) = v**2 - 3*v - 5. Let x(g) = -2*g - 5. Let o(l) = -t(l) + x(l). Give -j(p) + 51*o(p).\nAnswer: -17*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 u, 1 a, and 2 q when four letters picked without replacement from aaaqqaqaqaquqaqqaua?\nAnswer: 42\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 56886 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -165 + 165. Let i = 0.08 - 0.11. What is the nearest to g in -0.1, 2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 180*h - 224*h + 26*h = -280*h - 15720 for h.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 19 + -17. Let x be 12\/2*z\/4. Suppose 4*v = -4*n + 73 + 187, x*v + 4*n - 197 = 0. Is v a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -29559026787.99795 + 29558354367. Let j = 672373 + v. Let u = j - -48. Round u to 4 decimal places.\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5455 = 5*x - 5*r + 5480, -20 = 4*x + 2*r for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = -w**3 + 6*w**2 - 3*w - 6. Let t = 35 + -32. Suppose -t*v = -5*g + 22, v + 7 = 5*g - 17. Calculate r(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = 6 - l + 7 - 6. Let v be o(0). What is the tens digit of (-2)\/v - (-254)\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1670516403 to the nearest integer?\nAnswer: 1187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2302 + 3393. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = -7*o**3 + 6*o + 6. Let s(l) be the first derivative of -13*l**4\/4 + 11*l**2\/2 + 11*l + 25. Determine -11*m(w) + 6*s(w).\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = 7*s + 61 - 7*s + 4*s + 4*s + 3*s**2. Is u(11) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 71 + -8. Let g = 46 + o. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (348\/(-2262))\/((-6)\/39)*13?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 134\/111 - -4*(-6)\/(-72). Let y = w - 2033\/1776. Find the common denominator of y and -21\/20.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = 71*i + 53. Let k be (-10)\/15*(-18)\/(-5 - -2). Let a(u) = -24*u - 18. Let f(d) = k*l(d) - 11*a(d). Differentiate f(j) wrt j.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 85206?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:11 AM and 1:54 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-294)\/(-42)*(-6)\/(-14). Solve -n*r - 4*z = r - 16, -4*z = -20 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4 - (-3 + 1 + 3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0.3 or 3361?\nAnswer: 3361","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = -6*m + 2. Let x be a(-2). Solve 2*j + d = 3*d - x, -5 = -j - 2*d for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 3, b: 1, z: 3}. Give prob of picking 1 z and 1 b.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence prr when three letters picked without replacement from {r: 3, p: 3}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 4, o: 15}. Give prob of sequence oo.\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 5?  (a) -23068  (b) -5  (c) 1\/3  (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 7*q - 2*q**3 + 5*q**3 + 9*q**3 + 5*q**2 - 14*q**3 to the form b*q**2 + c + k*q + h*q**3 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -53 - -161320442?\nAnswer: 161320356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:59 PM and 12:28 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 1\/10 of a meter?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 85666100 and 300?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*o = -9*o + 3. Let w(l) = l + 2*l - 5 + l**o - 2*l - 2*l + 6*l**2. Calculate w(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 at most -256\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 36 and 908?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2690?\nAnswer: 2, 5, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 201049 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1993 + 1993. Let a(u) be the first derivative of -16 + 0*u**4 - 5*u**2 + 0*u**3 + 2\/5*u**5 + t*u. Find the second derivative of a(c) wrt c.\nAnswer: 24*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 69\/754 and -97\/435?\nAnswer: 11310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*w - 4*w - 2*w + (-3*w + 4*w + w)*(-3 + 4 + 1) - 2*w - 4*w + 4*w.\nAnswer: -8*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 105482035?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = 6*y - 6. Let r(c) = -1192*c + 395*c + 399*c - 1 + 397*c. Give -o(i) + 6*r(i).\nAnswer: -12*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 4740722 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = -11*c - 1. Calculate p(-3).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 times -7322?\nAnswer: 29288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a - g = -75, 4*a + 3*g - 16 - 49 = 0. Solve 2*w - 4 = -2*f, f + a = 6*f - 5*w for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = 9*v - 10. Let a be ((-36)\/(-30) + v\/(-5))*5. Solve -30 = -5*w - a for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d**(-2\/7))**4)**(-3\/8) assuming d is positive.\nAnswer: d**(3\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*l - 3*j - 54, -10 = -2*l - 3*j + 8. Let a(g) = -7*g**3 - l*g**3 + 11*g**2 - 7*g**3 + 27*g**3 + 10 + 11*g. Calculate a(-10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 26955\/11 + -2450. Sort -0.4, 0.3, -2\/7, x in decreasing order.\nAnswer: x, 0.3, -2\/7, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 115 and 69.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 244 minutes before 7:52 PM?\nAnswer: 3:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -3*x - 11, g - 12 = 3*x. Suppose 0 = -2*v - g*v - 25000. What is v rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0.687 or -94?\nAnswer: 0.687","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express r - 185*r**3 - r + (r + 2*r - r)*(0*r**2 + 4*r**2 - 5*r**2) + r**3 + 0*r**3 - 2*r**3 - 3*r**3 + 5*r**3 - r**3 as c*r**2 + h + z*r**3 + i*r and give z.\nAnswer: -187","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -21 + 2565\/108 + (1 - 5)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 312 - 213. Is h a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = -m**3 + 9*m + 6. Let t be i(-3). Solve d - t = -4 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 7, -5, -39, -107, -221, -393, -635, -959?\nAnswer: -1377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -1361135*w**4 + 1414053 wrt w.\nAnswer: -5444540*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -5 divided by -7305914\nAnswer: 5\/7305914","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6459 divided by 3.\nAnswer: 2153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {i: 2, m: 7, h: 4}. What is prob of picking 1 h and 3 m?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 2\/3, 27, 2\/9, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 5477?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 12 (base 3) in base 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*a**5*g + 2040*a**3*g - 105*a**2 + 3*a*g - a wrt a?\nAnswer: 120*a**2*g + 12240*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1100)*2*-3 - (-5 + -1 + sqrt(1100)))**2 + -2.\nAnswer: -840*sqrt(11) + 53934","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand -q**2 + q**2 + q**4 + (-2*q**3 + 2*q**3 + 2*q**3)*(3 - 3 + 2*q) + 58*q - 23350*q**2 - 4*q**4 + 23350*q**2.\nAnswer: q**4 + 58*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = 523*j + 1379. Determine t(-3).\nAnswer: -190","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -155 - -219. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(3\/25))**26 assuming l is positive.\nAnswer: l**(78\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -4146 (base 14) in base 4?\nAnswer: -2233202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 238 or 180?\nAnswer: 238","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = -423*p + 417. Give m(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -85 = 5*t - 490. Is t a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 647 minutes after 4:02 AM?\nAnswer: 2:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = x**2 + x - 5. Let i be 2 + -1 + (-4 - -10). Suppose 2*d - u = i, -u = -d + 1 + 2. What is the units digit of q(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.7?  (a) 10  (b) 4  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = -1378*p - 5. Let k(v) = v. Give w(k(y)).\nAnswer: -1378*y - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*l**2 + l - 4*l**2 + 0*l**2 + 47 - 47 + 57*l**2 + l - l - l**2 + (-3*l - l**2 + 3*l)*(-2 - 1 + 1) + 3*l**2 + 3*l**2 - 4*l**2.\nAnswer: 58*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = l. Let j(p) = -1456 - 171*p**2 + 1456. Determine j(w(k)).\nAnswer: -171*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9924440 is divided by 79?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 26 - (27 - (-24 + 28))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -2*f*r**3 + f - 4*r**4 - 28896*r + 212339 wrt r?\nAnswer: -6*f*r**2 - 16*r**3 - 28896","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 1 - 0 - (-15)\/5. Suppose h*m = -4*m + 624000. Round m to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/5?  (a) -1\/6  (b) 0  (c) 381  (d) -1  (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 68940132, 68940136, 68940140?\nAnswer: 68940144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -130 to the nearest ten.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 0.4, -2\/7, -2\/43, 4 in decreasing order.\nAnswer: 4, 0.4, -2\/43, -2\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -179, -1151, -3673, -8519, -16463, -28279, -44741, -66623?\n\"Answer: -129*d**3 - d**2 - 66*d + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -19 + 30 + -17 + 12 + -1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (18 - (11 - (-6 - -13))) + 24 - (-1 - -10).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -61454, -61455, -61456, -61457?\n\"Answer: -w - 61453","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) be the third derivative of -p**5\/15 - 11*p**4\/2 + 140*p**3\/3 + 409*p**2. Let q(s) = 0. What is s?\nAnswer: -35, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = w**2 + 3*w - 2. Let n(m) = -2*m**2 - 6*m + 5. Calculate 9*i(k) + 4*n(k).\nAnswer: k**2 + 3*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = -25*n**2 - n - 2. Let d(y) = -y**2 - 5*y + 5. Let b be d(-5). Let l(c) = 51*c**2 + 2*c + 5. Let j(o) = b*s(o) + 2*l(o). Determine j(1).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -12 + 22. Suppose m - o = -m. List the prime factors of m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -168.74 * -21.9.\nAnswer: 3695.406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i + 18 = -17. Let t = i + 30. Let u(j) = -j**3 - 5*j**2 + 2*j + 10. Let d be u(t). Solve d = -w + 4 - 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 100 and 3810.\nAnswer: 38100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -54 or -76?\nAnswer: -76","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 7\/(-28) - 25\/(-4). Suppose -o + 4 = -z. Calculate the highest common divisor of o and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 3 and 9 + 0 + (-32005)\/(-37)?\nAnswer: 2622","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -465.217826 rounded to zero decimal places?\nAnswer: -465","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = 35*a - 39. Suppose 5*n = 11*n + 2*n - 424. What is the remainder when o(6) is divided by n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = 9*y + 4*y - 20*y + 3*y + 4. Let j(z) = z - 1. What is -10*j(c) - 2*l(c)?\nAnswer: -2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-45)\/12)\/(-15*(-8)\/320). Let d be 16\/(-48)*(2 + x*5). What is the greatest common divisor of d and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 194.542 centuries?\nAnswer: 233450.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = x - 9. Let g be f(11). Suppose 10*t - 5 = 5*r + 5*t, -22 = -3*r - g*t. Suppose 3*m = 3*z, -r*m = -m - 6. Solve 3 + 3 = -z*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(7) + -1 + -3 + 5 + (sqrt(84)*2*3)\/sqrt(12).\nAnswer: 1 + 7*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (33\/18 - (-2)\/12) + 2. Suppose f*h - 5*h = -4*y - 37, 0 = 4*h + y - 80. Suppose h = -q + 25. Calculate the greatest common divisor of 28 and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-18)\/3 - 19\/(-3)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2918*n - 2*n**2 - 28 - 6169*n + 3069*n + 30 to the form s*n + x*n**2 + j and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 0  (b) -0.6  (c) 6.96  (d) 4\/7  (e) -18\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is (-4)\/((-16)\/(-200114))*1\/(-2)*4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17*x + 1610 = 3388 - 1574 for x.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000000408530402 rounded to 7 decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -799 or 2?\nAnswer: -799","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*w - 10 - 5. Find the second derivative of -3*o**w + 5*o**3 - 3*o + 6*o wrt o.\nAnswer: 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 6 in 5, -5, -1\/3, -0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -30*b**3 + 176*b**2 - 126*b - 20 = 0 for b.\nAnswer: -2\/15, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put -8, -1\/2, 3 in descending order.\nAnswer: 3, -1\/2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 3905369?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -1, -3, 2057, -2 in decreasing order.\nAnswer: 2057, 0, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = z**2 + 5*z - 4. Let h be j(-8). Let q be (-9)\/((-45)\/h) + 60. Let t = -42 + q. What is the remainder when t is divided by 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ziuij. What is prob of picking 2 z and 2 i?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 2719 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(1\/2)*v*v**(-5)*v*(((v\/v**0)\/v)\/v)**(-1\/31))**(8\/3) assuming v is positive.\nAnswer: v**(-204\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -403421 (base 6) to base 8\nAnswer: -76245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -0.2, 2.2, -1.3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 82816?\nAnswer: 2, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -37\/45 and -23\/45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = -v**2 + 14*v - 14. Let p be i(7). Let t = -32 + p. What is the nearest to 3 in -3, -2\/3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -149375\/8 + 18672. What is the nearest to -83 in 2\/9, z, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 325088.\nAnswer: 2, 10159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*w = -5*w. Let g be 1\/(-2) - ((-77)\/(-14))\/11. Does 15 divide 116 + (3 - (w + g))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*r + r = -28. Suppose 3*q + 2 = 2*b - 0*q, 0 = -5*q. Sort r, b, -10 in decreasing order.\nAnswer: b, r, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -22899 divided by -7633?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence epdp when four letters picked without replacement from {e: 1, d: 4, x: 8, p: 2}?\nAnswer: 1\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round -60745.7 to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7396*x + 4827 - 177 = 7246*x for x.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -4 + -15 + (7 - -7)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 100101001111 - -110001?\nAnswer: 100110000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mh when two letters picked without replacement from {a: 5, c: 4, h: 1, e: 1, m: 1, x: 1}?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand -6708 + 6708 + 2776*k**5 + (-2*k**3 - 2*k**3 + 2*k**3)*(4*k**2 - 5*k**2 + 3*k**2)*(-3 - 3 + 7).\nAnswer: 2772*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -31 - 0\/(21\/(9 + -2))?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 18 + -13. Suppose -5 = -r, b*q + 2*r + 0*r = 10. Suppose 132 = 4*o - 2*t, -4*o + q*o - 4*t + 144 = 0. Is o a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find s such that -5*s**5 + 25*s**4 - 100*s**2 + 80*s = 0.\nAnswer: -2, 0, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Divide 310 by -5.\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 25021297.\nAnswer: 7, 17, 210263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m - 137 = 2*m - 5*z, -5*m = 3*z + 199. Let s = 37 + m. Let a = 53 - 41. Is a < s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = 13*w - 5*w**2 - 4*w - 4*w**2 - 3 + w**3. Let r = 26 + -18. Let l be p(r). Solve -i + 0 + 9 = 2*g, 0 = -l*g - i + 24 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 9, 20, 45, 90, 161, 264?\n\"Answer: z**3 + z**2 + z + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -650*c - 58280 + 15565 = 402*c + 45653 for c.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: (-5)\/40*80\/(-52)*12\/(-45)\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u - 7 = 1. Let r be 14\/3 - 4\/(-12). Suppose 16 = b + r*f, -u*b - 4*f + 29 + 19 = 0. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-2)\/(-3) - 654\/(-18). Let f = g - 34. Solve 0 = -6*l + f*l + 5*i - 16, 5*l + 2*i = 25 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in eighty-one halves of a day?\nAnswer: 972","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.1694006633 - -38.\nAnswer: 38.1694006633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b = 4*m - 16 - 0, 4*b + 5*m - 7 = 0. Let p(t) = -6*t - 1. Let u(x) = 3*x. Calculate b*p(r) - 5*u(r).\nAnswer: -3*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 9.28 * -0.02\nAnswer: -0.1856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Determine x, given that -3*x**3\/7 + 523533*x**2\/7 + 10995402*x\/7 + 19896648\/7 = 0.\nAnswer: -19, -2, 174532","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/25 of a century in months?\nAnswer: 288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -1, -1\/6, -14, 156 in decreasing order.\nAnswer: 156, 1, -1\/6, -1, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 29694 is divided by 2351.\nAnswer: 1482","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2655*f + 2713*f + 4063*f + 6552*f)*(-2*f**2 - 2 + 2) + (4*f**2 + f**2 - 4*f**2)*(-f + 2 - 2) in the form k*f**2 + i + r*f + q*f**3 and give q.\nAnswer: -21347","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 24117901 is divided by 50?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8758?\nAnswer: 2, 29, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1.99 - -0.01. Let o = -3.7 + 0.7. Let j = o - -7. Which is the third smallest value?  (a) j  (b) v  (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (168\/(-32))\/((-3)\/72). Let v = 130 - b. Suppose 426 = 5*k - d, v*k + 5*d = 2*k + 165. List the prime factors of k.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -259*c**3 + 47*c - 4 wrt c.\nAnswer: -1554*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*((-1*2*sqrt(133))\/(sqrt(49)\/(1*sqrt(7))) + 2))**2.\nAnswer: -200*sqrt(19) + 2000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = -2*j**2 - 16*j + 2. Let b be k(-8). Suppose -3*w - u + 704 = 0, 5*w + 114 = b*u + 1291. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*p**5 + 0*p**5 - 3*p**5 + (p**4 - p**4 - p**4)*(0*p + 0*p + p) - 90*p - 24*p**5 + 90*p + (0 + 2 - 1)*(4*p**4 - 4*p**4 - 2*p**5).\nAnswer: -26*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = 2*c**3 + 17*c**2 - 237*c - 1159. What is k(-12)?\nAnswer: 677","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 11 - 9. What is the remainder when 910\/42 - l\/(-6) is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = -8*z**3 - 346*z**2 + 1010*z - 112. Calculate x(-46).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*g**3*h**3*u + 2*g**3*h**2 - 4696*g**3*h*u**2 - 71*g**2*h**3*u - 3*h**3*u**3 wrt u?\nAnswer: -9392*g**3*h - 18*h**3*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -194282.2398 rounded to the nearest ten thousand?\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-4)\/(2 + -4) - -3. Let h(z) = -z + 2*z - 4*z - a*z. Let u(v) = v**2. What is u(h(c))?\nAnswer: 64*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is -132 less than 2159?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = -6*f + 40. Let d be t(5). Let o be 4\/((-40)\/78) + d\/(-50). Is 18\/5 > o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p**2 + 63*p - 60 = 0. What is p?\nAnswer: 1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = -q**2 - 4*q + 5. Let w be l(-5). Suppose w = -5*d - 10. What is the common denominator of 62\/9 and d\/(16\/(-228)) + 4?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 6901.978 - 6893. Round f to 1 decimal place.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -60 = 8*b - 76. Put b, -13, -1 in increasing order.\nAnswer: -13, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = 7*a - 7. Let y(i) = 8*i - 8. Let q(t) = -7*m(t) + 6*y(t). Let f(g) = -7*g + 2. Calculate -f(o) + 4*q(o).\nAnswer: 3*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 19 and 197435118.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round 398614249 to the nearest one hundred thousand.\nAnswer: 398600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 - ((13 - 13) + (-60 - (-5 - -8))).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) be the first derivative of 7*r**6\/120 - r**5\/10 - 3*r**4\/8 + 8*r**3\/3 + 6. Let v(d) be the third derivative of i(d). Factor v(w).\nAnswer: 3*(w - 1)*(7*w + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) be the first derivative of 147*u**3 + u**2\/2 + u - 10. Let x be k(-1). Round x to the nearest ten.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 15796 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 32*1309495.\nAnswer: 41903840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*t**2 - 44*t - 2719 - 2733 - 73*t + 5452.\nAnswer: -2*t**2 - 117*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor o**2 - 3*o + 2.\nAnswer: (o - 2)*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = i**2 - 3*i - 13. Let t = -8 + 17. Let z be h(t). Let s = z - 28. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -5 - 245?\nAnswer: -24a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3 + 6 - 1)*(1 + 5 - 4)*(43 + 9*l - 90 + 43) in the form g + o*l and give g.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 55\/729 and -137\/24?\nAnswer: 5832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 41441 to the power of 1\/4, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {r: 1, f: 1, g: 1, o: 5, w: 7}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-3 - -1 - -2)\/(-1). Let l(q) = d - 1 - 3*q - 1. Let r(h) = 5*h + 3. Determine 8*l(i) + 5*r(i).\nAnswer: i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 45 + -38. What is the remainder when u\/(75\/70 + -1) is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 70384 and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 6\/(-2) - 2840\/(-20). Find the first derivative of -u*i**4 + 5 - 1 + 56*i**4 + 19 wrt i.\nAnswer: -332*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = x**3 + 5*x - 4. Let a(d) be the second derivative of d**5\/20 + 2*d**3\/3 - 3*d**2\/2 - 3*d. Determine -6*a(b) + 5*l(b).\nAnswer: -b**3 + b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 5104.723um?\nAnswer: 0.5104723","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p = c + 29, 5*c - 6*c = -3*p - 11. Let b be 21\/3 - c\/(-8)*-6. Let i be ((-12)\/(-30))\/(1\/b). Put -3, -23, 3, i in ascending order.\nAnswer: -23, -3, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -19.39 + 19.390003125. Round x to seven decimal places.\nAnswer: 0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*q**3\/2 - 74955*q**2\/2 + 37475*q.\nAnswer: 5*q*(q - 14990)*(q - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 472 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1309?\nAnswer: 7, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 12 + -58. Find the common denominator of i\/(-15)*(-180)\/240 and (19\/2)\/((-3)\/5).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -22683 + 22953. What is the lowest common multiple of 135 and y?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 231429, 463908, 696387, 928866, 1161345, 1393824?\n\"Answer: 232479*p - 1050","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -18 + 19 + 96*o**3 + 15*o**2 - 16*o**2 to r*o**3 + y*o + p + d*o**2 and give r.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -f**2 + 2*f + 4. Let x be i(3). Let u(g) = -4*g**2 + 210*g - 94. Let v be u(52). Put v, -1, x, -4 in decreasing order.\nAnswer: v, x, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -46  (b) -0.1  (c) 14  (d) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 32*j - 6*j - 130 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -370, -732, -1084, -1420, -1734, -2020?\nAnswer: -2272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 96621\/20 + -4829. Let g be 3\/1*(-1660)\/4. Calculate the common denominator of (-1)\/20*g\/6 and v.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*d + 20 = 5*u, -d + 503*u + 4 = 504*u for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1201 + 3176. What is the thousands digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 19\/2919 and 127\/24.\nAnswer: 23352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 110, -0.04 in decreasing order.\nAnswer: 110, 0, -0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Divide 246399 by 23.\nAnswer: 10713","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = v**3 - 5*v**2 - 11. Let q(p) = -1. Let i(a) = 5*q(a) - t(a). Calculate i(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (12\/(-10))\/3*(-30675)\/818\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 292619.\nAnswer: 19, 15401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 53789905, 53789900, 53789895, 53789890?\nAnswer: 53789885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*l - 3*s = 7, 3*l - 1592 = -s - 1577 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = -103*p. Let b(h) = -2*h + 135. Calculate g(b(j)).\nAnswer: 206*j - 13905","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of j**3*o**3 - 4*j**3*o**2 + 125*j**3*o + 10*j**2*o**3 + 6*o**3 wrt j?\nAnswer: 6*o**3 - 24*o**2 + 750*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = -12*o**2 - o - 2. Let w be r(-1). Let u = w - -25. What is the smallest common multiple of u and 18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -44\/2907 and -67\/344692?\nAnswer: 58942332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = p**3 + 22*p**2 - 23*p - 11. Calculate n(-23).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = -4*h - 5*l, 3*h - 17 = -0*h + 2*l. Suppose 8*k = 5*k + h*f + 30, k + 10 = -4*f. Solve -3*d + k*d = 15 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve k = -112*g - 10 - 99, 0 = -5*k - 5*g + 10 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.037 in -1, -5, -2, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) be the third derivative of 0*k + 0*k**4 + 0*k**6 + 3\/2*k**3 + 3*k**2 + 0 - 4\/105*k**7 + 0*k**5. What is the derivative of b(o) wrt o?\nAnswer: -32*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 46*j + 63*j + 78*j + 3*j**2 + 1 - 4*j**2 - 51*j as u + z*j**2 + v*j and give v.\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 26 (base 7) in base 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l = -2*r - 676, 234 = 4*l - 5*r - 1115. What is the greatest common factor of l and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 9\/8534 and 7\/34?\nAnswer: 8534","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 2062497, 4125015, 6187555, 8250117, 10312701, 12375307?\n\"Answer: 11*k**2 + 2062485*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -121100121012 - -11?\nAnswer: -121100121001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 327584658?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*l**2 + 0*l**2 - l**2 + (2*l**2 - 1 + 1)*(3 - 2 + 0) + 5*l - 2*l**2 - 5*l + 1 - 2 - 17*l**2 + 19*l**2.\nAnswer: l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*g + 0*g + 6*g)*(4 + 3 - 4) - 4*g + 4*g + 2*g.\nAnswer: 20*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11272 = -35*c + 31253. What is the highest common divisor of c and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1272256 and 224128.\nAnswer: 43256704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Add together -32 and 1.181191505.\nAnswer: -30.818808495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 v when four letters picked without replacement from vvvvv.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = 5*d + 12. Let q be o(-6). Let z be 2\/3 - (-6)\/q. Factor z*g**3 - 3*g**2 - 9 + 9*g.\nAnswer: (g - 3)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i + 2 = 3. Let c be -1*(i - (0 + -2)). Let r be (-5)\/5*-2 - c. Solve n + t + 2 = -0, -5*n + r*t - 2 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*t + t - 3*g + 32, -3*t + 31 = 4*g. Calculate the greatest common factor of 5 and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 39*b**3 + 5198 + 2*b**2 + 3*b**2 - 5196 - 20*b**3 + 104*b**3 as y*b**3 + c*b**2 + j + z*b and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 239 is divided by 29?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (54\/21)\/((-39)\/(-91))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -6.4 + -0.6. Let f = -7.0017 - -0.0107. Let v = a - f. Round v to two decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -67*a + 129*a**2 - 21*a - 131*a**2.\nAnswer: -2*a**2 - 88*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*a - 4*a**3 - 22*a**3 - 2*a**3 - 122*a**2 - 16*a**3 + 102*a**2 to the form b + r*a**3 + h*a + q*a**2 and give r.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 11\/35643 and -23\/237620.\nAnswer: 712860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 55665 from 7.\nAnswer: -55658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = -12*w**2 + 5*w + 4. Let n(k) = -37*k**2 + 14*k + 11. Let s(t) = 8*g(t) - 3*n(t). List the prime factors of s(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 379597.3 rounded to the nearest 10000?\nAnswer: 380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c + 4*i + 32 = 0, -c + 4*c = 5*i + 32. Suppose 8 - 2 = -6*g. Let t be g\/3 - (-187)\/66. Is t less than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -9372035500 to the nearest 1000000.\nAnswer: -9372000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 473 divide 2132564?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*r - 3*x - 4, 20 = -3*r - x. Sort 1, r, -1, 4, -815 in decreasing order.\nAnswer: 4, 1, -1, r, -815","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) be the second derivative of 36*v - 1\/6*v**6 + 2 - v**5 - 25\/12*v**4 - 5\/3*v**3 + 0*v**2. Factor r(f).\nAnswer: -5*f*(f + 1)**2*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = 2*m**2 + 6*m. Let h(x) = x**2 - 6*x - 4. Let j be h(6). Let v be z(j). What is v rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 5\/4 + 5565\/(-5300). Let k(r) be the second derivative of 4\/3*r**3 + 0*r**2 - 1\/3*r**4 - a*r**5 + 0 + 24*r. Factor k(h).\nAnswer: -4*h*(h - 1)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 0.21, -2569\/23 in descending order.\nAnswer: 0.21, -1, -2569\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14 = 3*q + 1. Let b be (-2)\/(-5)*q\/(-8). Factor b*t**2 - 1\/4*t - 1\/4 + 1\/4*t**3.\nAnswer: (t - 1)*(t + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = -6*p**2 - 81*p - 27. Let f be u(-13). Let j(c) = c**3 - 12*c**2 + 4. What is j(f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 43 - -187. What is the greatest common factor of 92 and b?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 3935961\/503 + -7825. Let x = -21335\/10563 + k. Calculate the common denominator of x and -73\/21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 + (0 - (3 + -5)) + -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 1\/11230  (b) 1\/4  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -11 - -10.5. Let t = d + -1.4. Let z = 0.1 - t. What is the closest to z in 4, 0.2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 26816 and 2178368?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2 + sqrt(363) - sqrt(363)) + 4 + -3)*5 + 5*3*(-4*(sqrt(363) + 2))**2.\nAnswer: 10560*sqrt(3) + 88075","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n - 4*l - 107 = -10*n, -104 = -5*n + 3*l. Calculate the highest common divisor of n and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = 417*a**2 - 11*a + 10. List the prime factors of v(1).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9*-11030.\nAnswer: 99270","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 104995, 0, 0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 8 - 4. Let m = -18 - -13. Let k = m + h. Which is greater: k or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 23364 is divided by 5841.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.21969919 rounded to 2 decimal places?\nAnswer: 1.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = a**3 + 4*a**2 + 2*a + 3. Let l be k(-3). Let z = l - -8. What is the highest common divisor of 28 and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor q**2\/3 + 6*q + 15.\nAnswer: (q + 3)*(q + 15)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -9 - -1 - (4 + (-6 - -14 - -11) - -34)?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 19833240 divided by 1652770?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*j - 5*a - 2450 = 3*j, -a = -j + 814. Suppose -199*d + j = -194*d. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = 15*v - 6. Let k(b) = -5*b + 2. Let f(s) = -4*d(s) - 14*k(s). Let n = 0 - -5. Is f(n) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = z**3 - 92*z**2 + 263*z + 354. What is p(89)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 5*l**2 + 2*l + 142*l**5 - 8*l**6 - 142*l**5 + 11*l**2 wrt l?\nAnswer: -960*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 433159?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 117\/6580 and -97\/13818?\nAnswer: 138180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 w, 1 j, and 1 v when three letters picked without replacement from {v: 1, w: 6, j: 2, f: 3, e: 1}?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.2*0.58604.\nAnswer: 0.117208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = -2*l. Let m(v) = 10*v + 1. Give 2*m(z) + 9*q(z).\nAnswer: 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 46195917 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: What is prob of sequence ft when two letters picked without replacement from {v: 1, t: 1, n: 1, f: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round 14.6738 to the nearest integer.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2 - 0) + 2 + 5 + -905 + 905.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(2\/75))**9*u**(-39)*(u\/(u*u*u**(-4\/7)))\/u assuming u is positive.\nAnswer: u**(-7033\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 50212, 100507, 150802, 201097, 251392, 301687?\n\"Answer: 50295*s - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) be the first derivative of 53 + 40 - 221 + 77 + 2*m**3. Let p(j) = 6*j**2. What is p(k(r))?\nAnswer: 216*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = f**3 + 4*f**2 + f + 1. Let v be 8\/12*114\/4. Suppose -d - v = -5*d - 5*z, 3*d - 8 = -5*z. Calculate the least common multiple of d and a(-3).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5 - (-364)\/30 - 7?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -63 = -27*t + 72. Solve 7*s - t - 16 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in one quarter of a kilometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8568246*m + 8568246*m - 482*m**2 + 4441*m**2.\nAnswer: 3959*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = 27*b**3 - 3*b**2 + 2*b + 3. Let u(q) = -27*q**3 + 2*q**2 - q - 2. What is -3*u(m) - 2*z(m)?\nAnswer: 27*m**3 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 3708 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u - 18 - 2 = 0, -5*j = 2*u - 30. Calculate the smallest common multiple of j and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 7791 and 2385.\nAnswer: 116865","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -16207182893.76029854 + 16207183029. Let q = h - 135.2287. Let p = -0.011 + q. What is p rounded to 7 dps?\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 357671 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = 2*x + 8. Let q(z) = -2*z - 9. Suppose -2*l + 11 = -2*p - 3, 2*l - 13 = p. What is l*n(k) + 5*q(k)?\nAnswer: 2*k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is (-9 + 479984\/(-17680) - 34\/(-1105)) + 2\/17?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = c**3 + c - 6. Let v be (-18)\/(-8)*(-24)\/9. Let f(y) = -3*y**3 - 4*y + 17. Let h(b) = v*f(b) - 17*w(b). What is the second derivative of h(a) wrt a?\nAnswer: 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -4 - -7. Factor 6*u**k + 9*u**3 + 6*u**3 - 20*u**3 - u.\nAnswer: u*(u - 1)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 47662447 and 2107?\nAnswer: 2107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 + 5 + (-2 - -35 - 44).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -222 divided by -3.\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 356\/5 - 71. Suppose 5*i + 43 = 3*q, 0 = -4*i - 21 + 1. Let j be (-1)\/(-7) + q\/(126\/123). Which is the closest to 0.1?  (a) j  (b) -0.3  (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -1 - (1 - (-3652)\/(-4)). Suppose -6*n = -3*n - 3*h - 2751, n - 4*h - o = 0. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*c = -17460 - 14067. Let g be 1\/(-6)*-1 - c\/186. Calculate the highest common factor of 133 and g.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*j**2 + 4*j - j**2 - 11*j in the form l*j + w + a*j**2 and give l.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -3 + 1. Suppose 214*d - 124*d = -90*d + 6660. Calculate the remainder when d is divided by (2\/z)\/(2\/(-26)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t + 70 = 5*r + 8*t, -46 = -3*r - 2*t. What is the highest common divisor of r and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 158*l*p**4 - 341*l*p - 830*l - 111*p**4 + 1170*p**3 - 34*p**2 - p wrt p?\nAnswer: 3792*l*p - 2664*p + 7020","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) be the second derivative of 5\/2*w**2 + 1\/6*w**4 - 7*w + 0 + 1\/2*w**3. Calculate the common denominator of -73\/2 and l(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 160 and 2417.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 95\/12 and 67\/10059?\nAnswer: 40236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = -2*m**3 + 33*m**2 - 66*m - 52. What is w(14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -4025, -4002, -3933, -3794, -3561, -3210, -2717, -2058?\n\"Answer: 4*g**3 - g**2 - 2*g - 4026","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yynnnnynnnnnynyn. What is prob of sequence yn?\nAnswer: 11\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -6*j**2 - 19*j**2 + 33249*j - 2*j**3 - 66486*j - 237 + 33237*j to c*j**2 + h*j + p*j**3 + x and give x.\nAnswer: -237","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 9 - (5 - 1) - 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 1, l: 1, d: 6, h: 9, z: 2}. What is prob of picking 1 d and 1 c?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -34, -358, -992, -1960, -3286?\nAnswer: -4994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 147*f = 38*f + 218 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2514239.\nAnswer: 7, 13, 3947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 113614 is divided by 46?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 596765798 to the power of 1\/2, to the nearest integer?\nAnswer: 24429","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 6.071 - 11.071. Sort 57, -5\/24, l.\nAnswer: l, -5\/24, 57","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + sqrt(243) + sqrt(243) + -1*(sqrt(243) + 1))**2.\nAnswer: 18*sqrt(3) + 244","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xl when two letters picked without replacement from {x: 3, l: 2, g: 3}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 14 (base 5) in base 2?\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 0, 4, 23.\nAnswer: -4, 0, 4, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3240, -17, 1, -864 in descending order.\nAnswer: 1, -17, -864, -3240","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = b**3 + b + 3. Let t be d(0). Let f be (t\/(-5))\/((-7)\/35). Solve f*o = 5*o + 6 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 20 times 2.3?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = a**2 - 16*a - 24. Let k be j(22). Is (k\/(-21))\/((-4)\/14 - 0) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 15988530 and 15988534 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -161 - -160. What are the prime factors of -3 - (c - 5 - 265)?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the value of (22\/(-22)*(-6)\/(-3))\/(-6)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 12 - 10\/(110\/(-2123)) and 41.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2551053 divided by 1\nAnswer: 2551053","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -9801625, -9801643, -9801671, -9801709, -9801757, -9801815, -9801883?\nAnswer: -9801961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 - 27 - (12 + -16 - 94)?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:27 AM and 12:45 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*x + 2*x + 4*x)*(-x + 3*x - x) + 9*x**2 - 2 - 2*x + 4*x - 24*x**2.\nAnswer: -14*x**2 + 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -39.17666781136 minus -0.3?\nAnswer: -38.87666781136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r = -0 - 9. Let c be (-2)\/(-5) - 4\/10. Solve c = 3*d - j - 2*j + 12, d + 8 = -r*j for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.08?  (a) 12  (b) 0.036  (c) -0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = -5*h**3 - 32*h**2 + 37*h + 111. What is b(-7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put together 8.181 and 34993.62.\nAnswer: 35001.801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 489574875?\nAnswer: 3, 5, 1305533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 3 + 24 + (-1 - 0 - 0). Let l = y - 23. What is the remainder when 15 is divided by (-2 + -1)\/(l\/(-6))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = -h - 1. Let j(s) = -2*s**2 - 2*s - 2. Let y = -249 + 251. Give y*u(x) - j(x).\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -121 - -301. Let h = g + -181. Which is the third smallest value?  (a) -0.06  (b) h  (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-199)\/((88\/(-24))\/(-11)). Which is smaller: -598 or c?\nAnswer: -598","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = c - 7. Let r(p) = 790*p - 82. What is 12*q(y) - r(y)?\nAnswer: -778*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 10 or 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Does 53 divide 29280539?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -424.4 times 0.1\nAnswer: -42.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = -4*r + 10. Suppose -2 = -j - 15. Is n(j) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n - 13 = h + 4*h, -4*n = 5*h + 37. Let m be -1 + 25\/20 + n\/12. Which is smaller: m or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*s = 5*k - 2*s - 360, -5*s + 220 = 3*k. Is 31 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 30 - 26.92. Let n = a - 0.08. What is the nearest to 0 in n, 2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (3\/(-2))\/(896\/6144 - 6\/32)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 213301 (base 4) to base 2.\nAnswer: 100111110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -111746 - -111746.57099. What is h rounded to two dps?\nAnswer: 0.57","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (6 - (-6)\/(-2)) + (-267007 - -4). What is s rounded to the nearest ten thousand?\nAnswer: -270000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(5*(sqrt(13) + -1 + 4))**2 + (6*-6*sqrt(13) + sqrt(13) + -3*sqrt(52)\/sqrt(4))**2.\nAnswer: -900*sqrt(13) + 15472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*f - 5*v + v, 0 = -v + 2. Suppose -54 = -f*k - 3*c, 9*k + 3*c = 8*k + 9. Solve i - 4*i - k = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 3, 0.5, 7, 0.1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q + 569 = 2*f, -4*f + 985 = 5*q - 104. Solve -40 = -f*h + 276*h for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) be the third derivative of 0*o - 1\/180*o**5 - 1\/18*o**4 + 3*o**2 + 1\/18*o**3 + 0 + 1\/90*o**6. Suppose j(v) = 0. Calculate v.\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q*q**22)**(3\/16) assuming q is positive.\nAnswer: q**(69\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 40\/(-6)*(15 + 7 + (-1824)\/80 + 2).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 1 - 4)*(0*k + k - 3*k) + 1 - 2 + 2*k - 4*k + (3 - 5 - 3)*(0 - 2*k + 0).\nAnswer: 10*k - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7024*z + 25908*z + 35656*z + 44269*z.\nAnswer: 98809*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -99, -701, -2317, -5451, -10607, -18289, -29001, -43247?\n\"Answer: -84*i**3 - 3*i**2 - 5*i - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = -t**3 + 8. Is r(0) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 b, 2 a, and 1 j when four letters picked without replacement from ppxxjajabajrx?\nAnswer: 9\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d + 3*y = -102, 2*d + 6*y - 116 = 2*y. Suppose 337 + d = 5*g - w, g - 3*w = 67. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k = 0, -5*c - 2*k = -3*k + 20. Calculate the least common multiple of -6*(39\/(-9) - c) and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 152 - 421?\nAnswer: -225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 861726 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*i - 2*z = -3111 + 3097, -2*i - z + 5 = -12 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 10 - 5. Put 4, o, -3 in descending order.\nAnswer: o, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2 + 2 - 2)*(-2*u**3 + 5*u**3 + 3*u**3) in the form k*u**3 + l*u + m + p*u**2 and give k.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -27 + 48. What are the prime factors of o?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 108707945?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) be the second derivative of -x**4\/28 + x**3\/14 - 7*x. Let a(l) = 0. What is l?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 20933956 a multiple of 556?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-72)\/(-42) + 4\/14. Suppose h + 2 + v = 0. What is the units digit of 1 + 3 + -1 - h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 176300?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 203320 take away 4.2?\nAnswer: 203315.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = -3*r - 5*q + q, -r - q = -5. Suppose 2*y - n + 8 = r, -n = 4*y - 2*n + 14. Let z(f) = f**3 + f**2 - 3*f - 4. What is z(y)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of ((-8)\/(280\/(-21)))\/(2\/1570)?\nAnswer: 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -15383012*k**2 - 36296868*k - 1 wrt k?\nAnswer: -30766024","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (110\/77)\/(-3 + (-30)\/(-7)). Solve 16\/9*g + 8\/9 + 2\/9*g**3 + i*g**2 = 0 for g.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-2)\/9 - (-629)\/1332. Let s be 96\/44 - 2\/11. What is the closest to -2 in s, 2\/3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 45\/60*144\/(-162). Let k = -0.6 + 5.6. Let j = 8 - k. Sort j, y, 0.1 in decreasing order.\nAnswer: j, 0.1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = -88729*r**3 - 34*r**2 + 34*r. Let h(k) = -173631562*k**3 - 66534*k**2 + 66534*k. Determine 17*h(i) - 33267*x(i).\nAnswer: 11089*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-105)\/(-75) + 3\/5. Solve -3*z + f*z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -6 in 0.2, -2\/41, 1.842, -2\/71?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 0, 13, 26, 33, 28, 5, -42, -119?\nAnswer: -232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = 3*w. Let j(k) = -2*k - 44973. What is q(j(z))?\nAnswer: -6*z - 134919","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 21267, 21280, 21315, 21384, 21499, 21672, 21915, 22240?\n\"Answer: 2*b**3 - b**2 + 2*b + 21264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = -8*v**2. Let b(t) = 1416 - 1416 - 21*t. What is b(z(y))?\nAnswer: 168*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is (-88)\/(((-16)\/14)\/4) a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ddd when three letters picked without replacement from dddadddddddadddddd?\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w + 207 = 35. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 0.3, -0.35, -0.02 in decreasing order.\nAnswer: 4, 0.3, -0.02, -0.35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = -2*p - 2. Suppose 0 = 2*r + 3*r - 15. Let y = r - 7. Give k(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-55)\/(-22) + (-3)\/(-2) + -2. Let x(f) = 9972 - 9966 + b*f + 2*f - f. Let d(p) = 4*p**2. Calculate x(d(u)).\nAnswer: 12*u**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-2*2)\/((-2)\/4). Let c(v) = -2*v**3 - 3*v**2 - 3*v + 5. Let n(o) = -6*o**3 - 8*o**2 - 8*o + 15. Give y*c(r) - 3*n(r).\nAnswer: 2*r**3 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 53705400 divided by -2850.\nAnswer: -18844","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q + 16 = 2*j, -3*q = 4*j - 0*q - 12. What are the prime factors of j\/18*(5 + 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -273099*a**3*r**3 + 3*a**3*r**2 + 5*a**2*r**3 - r**2 + 853293 wrt r.\nAnswer: -1638594*a**3 + 30*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 4545233 to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(180) - (1*sqrt(180) + sqrt(180) - sqrt(180))*6)*-2)\/(6*2*sqrt(10) + (sqrt(10) + sqrt(70)\/sqrt(7) + sqrt(10))*1 + sqrt(10)))**2.\nAnswer: 225\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {q: 10, g: 10}.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 47.03273 litres to millilitres.\nAnswer: 47032.73","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 283962337 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 293271 is divided by 172?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*((-3 + sqrt(1088))**2 + 0).\nAnswer: -192*sqrt(17) + 4388","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s*s*s**(1\/5)*s)\/s)**(-4\/19)*(s*((s\/(s\/((s**(1\/2)\/s)\/s)*s)*s)\/s)\/s)\/(s*s**10) assuming s is positive.\nAnswer: s**(-2653\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(77) + sqrt(77)*-1*-1 - -1*sqrt(77)*4)*3)\/(sqrt(42)\/sqrt(24) - (sqrt(49)*2)\/sqrt(7)))**2.\nAnswer: 1584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = 23*s**2 - 133*s - 32. Calculate p(5).\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-2)\/(-4))\/((-1)\/(-3)). Let s = -1183 - -1187. What is the nearest to 0 in -0.2, v, s?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*s + 3 - 3)*(2*s - 4*s - 3*s)*(-s**2 + 3*s**2 - s**2).\nAnswer: 15*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-8)\/20*(-1 - 0 - 19). Let x be (12\/t)\/((-3)\/4). Let l be (8\/7)\/((-4)\/x). Which is the smallest value?  (a) -2\/19  (b) l  (c) 2\/3  (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*m**5\/11 - 9990*m**4\/11 + 12470016*m**3\/11 + 12480008*m**2\/11 = 0 for m.\nAnswer: -1, 0, 2498","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 minus 193552056?\nAnswer: -193552063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w = 2*b - 113, 2*b - 6*b = 5*w - 559. What are the prime factors of w?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pl when two letters picked without replacement from lpy?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 3\/5  (b) -2.1  (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round 5443.14 to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 84 = -3*n + 17*n. Suppose 2*b + n = 12. Suppose 6*x = b*x + 4*y + 306, -3*y = 2*x - 187. Does 13 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 1\/4 of a meter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 6, m: 7, j: 1}. What is prob of picking 2 s?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: ((-4 - -6) + 7 - 1) + -10 + 6\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -2*1396\/16*-2. Suppose 89 = 6*d - i. What are the prime factors of d?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (d + d + 0*d)*(-19*d + 10*d + 2*d**2 + d).\nAnswer: 4*d**3 - 16*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -0.235, -0.3, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -7490*s + 7182*s + 5949 - 1021 for s.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -10 - 0. Let l = -8 - v. Suppose -f - l*f = -9. Solve -5*o + 3 = -f*x, -1 = x - 4*o + 2*o for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 36 and 77466243?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) be the second derivative of -q**6\/10 + 3*q**5\/20 + q**4\/2 - 15*q. Factor k(b).\nAnswer: -3*b**2*(b - 2)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(6292) + sqrt(6292)*-2)\/(-6*sqrt(16)\/sqrt(4) + sqrt(4)) - (sqrt(26)\/(sqrt(2) - (sqrt(32) - sqrt(8))) + -1).\nAnswer: 1 + 16*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = 3*m - 2. Let n(o) be the second derivative of 0 - 3*o + 5*o**3 - 21\/2*o**2. Determine 2*n(b) - 21*w(b).\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -408137, -1632567, -3673293, -6530315?\nAnswer: -10203633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.1*-9837.21.\nAnswer: -983.721","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Work out 4 + -2.88.\nAnswer: 1.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -24.2 - -24. What is the nearest to 0.2 in 5, 1, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = -54*p + 8. Let s be d(-8). Let b = s - 105. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*j + 1 - 1 + (-j + 2*j + 0*j)*(-3 - 1 + 3))*(-2 - 5 + 6 + (4 - 6 + 0)*(1 + 0 + 0)).\nAnswer: -15*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -21 - -34. Let j = -2 + o. Does 11 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:09 PM and 5:10 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -97 + 973\/10. Suppose 2*d - 5*d = 0. Let y = d - 0. Which is greater: c or y?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.2 * 2263.7\nAnswer: 452.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0 * 3.235031.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 1310 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 103577 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 33 + 34 + 35 - 515*m**4 - 98 wrt m.\nAnswer: -2060*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = -7*d**3 + 3*d**2. Let r(v) = -4*v**3 + v**2. Let h be 2*(-27)\/126*-7. Determine h*n(j) - 5*r(j).\nAnswer: -j**3 + 4*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 7 + -20 + (12 - 5)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 1*(-2 + 3\/(-1)). Let y(w) = 2*w + 2. What is y(k)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 31, 240, 463, 700?\n\"Answer: 7*a**2 + 188*a - 164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (16*u - 2*u - 8*u)*(4 - 5 + 0) - 600*u + 462 - 462 to the form i*u + a and give i.\nAnswer: -606","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -22534114 (base 6) to base 9\nAnswer: -1271821","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lfzl when four letters picked without replacement from bzlrlflzxbrx.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -95.308 + 95. Let v = 2.018 + r. Let z = v + -1.6. What is z rounded to one dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*q - 5*h + 8097, -5*h - 3438 = -4*q + 4609. What is the hundreds digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -273100 divided by 10\nAnswer: -27310","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express -12 - 21868*g**2 - 2*g**3 - 1 + 21871*g**2 as k*g**3 + z*g**2 + w + h*g and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q + 3*q = -12. Let l(t) be the first derivative of t**3\/3 - 2*t**2 + t + 1. What is the remainder when l(q) is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/3 in 4, 36817, -95?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = g**4 - 2*g**3 - 6*g**2 + 1. Let q(j) = -45*j**4 + 10*j**3 + 7*j**2 + 2259. Let l(b) = -5*a(b) - q(b). What is the first derivative of l(d) wrt d?\nAnswer: 160*d**3 + 46*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -9.789 rounded to 0 dps?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = -3*h**2 + 34*h - 17. Let b(g) = -g**2 + 12*g - 6. Let c(a) = 17*b(a) - 6*u(a). Let x(n) = 4*n + 19. Determine c(x(i)).\nAnswer: 16*i**2 + 152*i + 361","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 648138, 648137, 648136, 648135?\n\"Answer: -g + 648139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = 10*w + 2. List the prime factors of v(2).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1780*n - 3541*n + 1760*n + 14.\nAnswer: -n + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1477 and 80813?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 49\/355002 and -35\/12?\nAnswer: 710004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3 + w**3 + 2*w - 173*w**2 + 318*w**2 - 168*w**2 - 2 to the form m*w**2 + h*w + t*w**3 + k and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -23260000 rounded to the nearest 1000000?\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = r + 7. Suppose -3*k + 0*k = 0. Suppose 15 = -5*t - k*t. Let z be b(t). Solve -z + 2 = 2*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 90\/765 + 48\/(-119). Let k = 0 + -2. Which is the nearest to -1\/3?  (a) k  (b) -13  (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 0 + h)*(-59 + 114 + 590).\nAnswer: 645*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -78 = -3*p + 39. Let t = p - 25. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from npo. What is prob of sequence on?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 12122 and 19646?\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 671 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) be the third derivative of 1951*z**5\/30 + 1039*z**4\/3 + 8*z**2 - 37*z. What is the second derivative of n(p) wrt p?\nAnswer: 7804","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = 7*i**2 + 27*i + 58. What is the smallest common multiple of 279 and h(-4)?\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -17*s**2 + 4*s**2 - 579270*s - 20*s**2 + 579268*s.\nAnswer: -33*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 668, 1455, 2244, 3035?\nAnswer: 3828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 298958410?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/11, 5, 1364.2, 1\/15 in descending order.\nAnswer: 1364.2, 5, 1\/15, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kcqoycx. Give prob of sequence qyo.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 9*c - 13*c + 3*u - 16, -3*c - 41*u = -5*u + 12 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) be the first derivative of -z**4\/2 - z**3\/3 - z**2\/2 - 6*z - 5. Let o(h) be the first derivative of i(h). Determine o(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(-5\/6)*a\/(a**(-6)*a))\/(((a\/(a\/(a**2*a)))\/a)\/a**(2\/9)) assuming a is positive.\nAnswer: a**(61\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (sqrt(13) + 1)*-6 + sqrt(13).\nAnswer: -5*sqrt(13) - 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = p**2 + 13*p + 11. Calculate l(-8).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -472*j - 114*j + 0*j**2 - 1094*j + 6*j**2 + 1680*j.\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = d + 2*h - 11, -5*d + 28 + 1 = -3*h. What is the second derivative of -3*z - 8*z + 8*z**3 + 5*z + 3 - 4*z**5 + z**5 - d wrt z?\nAnswer: -60*z**3 + 48*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1*(90420\/902)\/(-10) + 5\/(-2)*-4?\nAnswer: -1\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = -2*d**3 - 5*d**2 - 8*d - 4. Let p be w(-2). Calculate the highest common factor of p and 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -17740 (base 8) to base 3.\nAnswer: -102012020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -43034, -43125, -43360, -43811, -44550, -45649, -47180, -49215?\nAnswer: -51826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) be the third derivative of -19*t**7\/210 + 4*t**6\/15 - t**5\/60 - 947*t**4\/24 + 2*t**2 + 4415*t. Find the second derivative of k(c) wrt c.\nAnswer: -228*c**2 + 192*c - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 100 + 201. Suppose 292*o + 177921 = h*o. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-2)\/(-2) - 2*-2. Suppose 0 = 3*h + 15, -2*t - 22 = -j*t + 2*h. What is the smallest common multiple of (-2 + t)\/(6\/27) and 7?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2239513771?\nAnswer: 11, 203592161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*p + 3*p - 2*p + 1 - 1 + p + (-5 + 3 - 3)*(3 - 3 - 2*p))*(2*p**3 - p**3 - 2*p**3).\nAnswer: -10*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find j such that -57*j**3 - 58386*j**2 - 18393*j + 39936 = 0.\nAnswer: -1024, -1, 13\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3069 - 2997 = -18*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Add 0.11 and -9.305376.\nAnswer: -9.195376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1335 and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1253 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.015411 rounded to 3 decimal places?\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 4325.64 plus -4?\nAnswer: 4321.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (sqrt(550) - sqrt(550)*1 - sqrt(550))\/sqrt(11).\nAnswer: -5*sqrt(2) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-10)\/(-14) - 8\/(-28). Let x = f - 1\/2. Which is the smallest value?  (a) -5  (b) -1\/8  (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-2)\/4*(4 - 8). Suppose -p*i = 2*i. Solve -j - j = i for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 19020617.\nAnswer: 7, 11, 337, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 5, t: 1, q: 3, m: 7}. What is prob of picking 4 m?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = 22*n. Let k(j) = 255*j - 34. Let a(x) = -32*x + 4. Let w(p) = 17*a(p) + 2*k(p). What is w(z(q))?\nAnswer: -748*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -308846.9174 rounded to the nearest ten thousand?\nAnswer: -310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = -b**3 + 6*b**2 - b + 4. Let c be w(6). Let j be (9\/((-18)\/8))\/c. Suppose o - 1 = 3. Solve 2*u = -o, -3 = a - j*u + 4*u for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -13 - -9. Let z be (54\/30)\/((n\/(-15))\/4). Suppose -2*j + 5*m = -z - 0, 0 = -5*j + 5*m + 30. Which is smaller: -2\/41 or j?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 760.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ababbbabaaab. Give prob of picking 1 a and 1 b.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put together 1785 and 803449545.\nAnswer: 803451330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from {c: 4, x: 7}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 16330 and 190325?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(252) + 0 + -2 - 2*sqrt(252)*-1)**2 + (5*2*sqrt(7) + sqrt(7) - (-2*sqrt(84))\/sqrt(12))**2 + 1.\nAnswer: -72*sqrt(7) + 3456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve w + 3*w + 3*z = 24, 0 = z - 37 + 37 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = -6*n**3 + 2*n**2 - 2*n - 4. Calculate the lowest common multiple of 4 and c(-2).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -196*a*n**2*s**3 - a*n**2*s**2 + 16855*a*s**2 + 30*n**2*s**3 - 23*n**2*s + 2 wrt s?\nAnswer: -1176*a*n**2 + 180*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2223, -2154, -2037, -1872, -1659?\nAnswer: -1398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -131977*i**2 + 131196*i**2 - 34*i**3 + 27*i**3 + 336*i = 0. What is i?\nAnswer: -112, 0, 3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = -a - 12. Let n be k(-8). Suppose -o - o - 166 = -2*l, 5*o = -5*l + 455. Calculate the common denominator of l\/10 + n\/(-20) and -55\/3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10019476316 - 5?\nAnswer: 10019476311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -126 + 215. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -90 + 36. Let z = i + 53. Which is the nearest to z?  (a) -3  (b) 0.2  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(sqrt(275) - 1*sqrt(275)*-1 - (2*sqrt(275) + 3)))**2 - ((4*sqrt(11)*2 - (-1*sqrt(11) + 4))**2 + -5).\nAnswer: -578 + 72*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) be the first derivative of -5*r**6\/6 - 6*r**5\/5 - 26*r**3 + 67. What is the third derivative of h(x) wrt x?\nAnswer: -300*x**2 - 144*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14*g + 31 = -10*g + 5*a, -4*g - 2*a + 34 = 0 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -17*w**2 - 68464*w + 2098424 wrt w.\nAnswer: -34*w - 68464","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 131 + (9 - -20 - 9 - 36).\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p = -f - 12, -5*p + 4*f + 2 = -1. Suppose 0 = -11*m - 7*m + 72. Suppose -4760 = m*w + p*w. What is w rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 593235849 and 69?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = -2*w**2. Let s(h) = -2*h**2 - 2. Suppose -3*x = -12 - 18. Let v(l) be the first derivative of l + 12. Let p(o) = x*v(o) + 5*s(o). Give a(p(u)).\nAnswer: -200*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-195)\/90)\/(1\/(63\/(-6))*115\/460).\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {w: 1, q: 2, l: 10, o: 1, r: 3, z: 1}. What is prob of sequence owlr?\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: (-99)\/(-180) + (-3)\/4\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = 15*g - 3. Let n(z) = z + 2. Let f(a) = -18. Let k(w) = -f(w) - 8*n(w). Give -4*c(h) - 7*k(h).\nAnswer: -4*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 120 - 601935?\nAnswer: -601815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Divide -720 by 41.\nAnswer: -720\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) be the first derivative of 2*x**3\/3 - 3*x**2 - 6*x - 1. Let g be q(5). Suppose -2*w + w - 2*o = -1, -w - 5*o = g. Solve -w = -3*v - 2 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 67.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -14776948 - -29076948. What is k rounded to the nearest 1000000?\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-6)\/9)\/(26\/(-6)). Let d be (-7 + 8)\/((-2)\/6). Which is the third biggest value?  (a) -0.05  (b) d  (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-8*z**2 + 11*z**2 - z**2)*((-4 + 4 - 2)*(3 - 1 + 0) - 1 - 1 + 3).\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 5 and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -1951, -1954, -1959, -1966, -1975, -1986, -1999?\n\"Answer: -k**2 - 1950","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (-9*x**2 - 18 + 18)*(-3*x + 10*x + 13*x) as p*x**3 + v*x + k + f*x**2 and give p.\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 8\/(-18) + 14\/63. What is the second biggest value in 4, 13, -4, n?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = -v. Let c(g) = -g**2 - 2*g + 4. Let z(t) = -c(t) - r(t). Let m be z(-5). Let i be 1 + 3*23\/3. Calculate the greatest common factor of m and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = -h**3 + 4*h**2 + 2*h - 5. Let n be s(4). Let j be (-2)\/n + (-6141914)\/(-3). Let z = j - 947304. Round z to the nearest one hundred thousand.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -115\/396 and -73\/144?\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -6, 7, 5, 2 in descending order.\nAnswer: 7, 5, 2, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 1, r: 2, w: 1, v: 3}. What is prob of sequence vg?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l - 4 = u - 5*l, 0 = -u + 3*l - 7. Factor 31*n**2 - 72*n - 5*n**2 - 15*n**u - 8*n**2 + 432.\nAnswer: 3*(n - 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*y + 3*y - 6*y)*(5*y - 4*y - 2*y)*(18*y + 1408*y - 102*y) as q*y + u + h*y**3 + l*y**2 and give h.\nAnswer: 1324","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 1\/(4 - (-585)\/(-147)). Let z = -1 + 11. Let b = d + z. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -120600 = -48*j + 2058*j for j.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -281, -563, -845, -1127, -1409?\n\"Answer: -282*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 20 and 30\/2 + 2\/(-2)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 16404.\nAnswer: 2, 3, 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.05 - -0.05. Suppose -19*f = 35 + 60. What is the biggest value in -3\/4, f, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l*l**0*l**(-6)*(l**(-1\/2)*l*l)**(6\/7) assuming l is positive.\nAnswer: l**(-26\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*z + 18*z = 3024. What is the greatest common factor of z and 96?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = 106*o + 16. Let t(d) = 209*d + 33. Let p(n) = 3*t(n) - 5*z(n). Is p(18) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 50748 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 97426?\nAnswer: 2, 7, 6959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -6854896 divided by -45098?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + (sqrt(2100)*1*3*2)\/((sqrt(7) - ((sqrt(56)\/sqrt(2))\/sqrt(4) + sqrt(7) + sqrt(7))) + (sqrt(21) - -3*sqrt(21))\/sqrt(3)))**2.\nAnswer: 60*sqrt(3) + 2701","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 512 a factor of 15147008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h + 3*h = 2*r - 72, -3*r = -4*h - 100. Suppose r = -13*m + 20*m. Let j(y) = y. Determine j(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = -i - 1. Let d(n) = -5*n**2 + 6*n + 9. Let v(u) = d(u) + 2*w(u). Suppose -35 + 8 = -3*p. Let z(l) = -2*l**2 + 2*l + 3. Calculate p*z(h) - 4*v(h).\nAnswer: 2*h**2 + 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = a**2 + 3*a. Let l(d) = -2*d**2 - 4*d. Let o(w) = 3*l(w) + 4*t(w). Let j(g) be the first derivative of 0*g**2 + 2\/3*g**3 + 0*g + 1. Determine j(o(v)).\nAnswer: 8*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 229 is divided by 73.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -54*j = -103 - 5 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 3677.655 centuries?\nAnswer: 367765.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1 and (-32 - -21 - -10) + 278\/1?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3908 not equal to -3.71?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 3806, 3622, 3442, 3266?\n\"Answer: 2*b**2 - 190*b + 3994","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:49 AM and 4:06 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = -3*l**3 + 13*l**2 - 10*l + 13. Let m(g) = 4*g**3 - 12*g**2 + 10*g - 14. Let k(o) = 3*b(o) + 2*m(o). Is k(10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 215389270?\nAnswer: 2, 5, 311, 69257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: (-21)\/14*12\/81\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 161*j - 218 + 106*j + 549*j + 199.\nAnswer: 816*j - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = -3*r - 7. Let n = 16 - 19. Let k be l(n). Let u(t) = 9*t - 3*t + 7*t**2 - 29*t**3 + 30*t**3 + k. Give u(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9128568814.\nAnswer: 2, 43, 191, 555739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*m**3 - 6 - 195*m**2 + 195*m**2 - 18*m**3 to the form x*m**3 + g*m + k*m**2 + b and give x.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) be the third derivative of c**4\/12 + 7*c**3\/6 - 2*c**2. What is the units digit of j(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = -d**2 + 6*d - 3. Let m be q(4). Factor 3*y + m*y - y**2 - 8*y.\nAnswer: -y**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 17 by -4.\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 6 + -7. Calculate the lowest common multiple of 8 and d*(1 - 0)*-18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cccp when four letters picked without replacement from ppppppcccppcpppc.\nAnswer: 11\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 2123327 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5363 is divided by 891.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 62 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p + 24 = -8*i + 12*i, 3*i = -3*p + 18. What is the third derivative of -i*y**3 - 3*y**3 + 8*y**3 - 9*y**3 + 29*y**2 wrt y?\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 90 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -82 + 82. Suppose -4*c - 22 - 10 = l. Let f be (8626 + -26)\/(2\/c). What is f rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-60)\/(-25))\/((-1)\/(-30)). Suppose -3*i - 25 = 2*q + 14, 5*q - i + z = 0. What is the tens digit of (-10)\/q + 80\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 34 = 819*f - 527*f - 468*f + 13938 for f.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 13803507 to the nearest integer?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -46\/297 and 13\/162.\nAnswer: 1782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 16 times 5.97?\nAnswer: 95.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*k + i - 6857 - 18118, 3*k - 24969 = -2*i. Does 25 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve c - 1 + 2 = 9*o, -o + 6258*c + 2 = 6259*c + 3 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -27 - 104 - 13 = -36*p. Let d be (((-8)\/(-2) + -4)\/(-3))\/1. Factor d*z - 4\/7*z**3 - 6\/7*z**p + 0*z**2 + 0.\nAnswer: -2*z**3*(3*z + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 500\/(200\/8)*4\/(-8)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.441 - -0.059. Let y = 9 + -42\/5. Which is the second smallest value?  (a) 0.2  (b) y  (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.1, 3\/2, -66\/215 in decreasing order.\nAnswer: 3\/2, 0.1, -66\/215","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b = -3*m + 64211, 12*m - 21407 = 11*m + 2*b. What is the hundreds digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a + 123 = 3*y, y - 50 - 27 = -3*a. Let h be 2\/9 - (-673)\/9. Suppose 0 = t - 6*t + h. Calculate the remainder when a is divided by t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = 5*s**3 - s**2 + 2*s - 1. Let d be b(1). Let f be 1\/d - (-28)\/10. Suppose -a + f = -1. Solve -x - 3*c = -0*x + 14, c = -a for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1092 and 581100?\nAnswer: 4067700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 618438.7km in micrometers?\nAnswer: 618438700000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 k and 1 r when two letters picked without replacement from zkrzrkkkrr.\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -4 divided by -194\nAnswer: 2\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express 105*n**2 - 2846*n**3 + 1420*n**3 - 3*n + 1419*n**3 + (0 + 0 + n)*(3*n + 2*n**2 - 3*n) as f*n**2 + m + o*n + z*n**3 and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s = 2*a + 6, 0*s = 4*a - 2*s - 12. Suppose 370 = 5*m + 3*b, 3*m = 5*m - a*b - 148. Is m a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8052 >= -1113?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from fefaeeeeeaenee. Give prob of sequence afna.\nAnswer: 1\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = 54345185*u**2. Let b(a) = -9*a. Determine b(f(x)).\nAnswer: -489106665*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*l**3 - 60*l**2 + 1456*l.\nAnswer: -4*l*(l - 13)*(l + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 63*p - 47*p - 283696 = 0. Is p a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*j**3 - 25*j**3 + 30*j**3 + 1.\nAnswer: -2*j**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -1360945 * -0.4\nAnswer: 544378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -1*3 + -25 + 28. Sort 3, -1, k.\nAnswer: -1, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (1600000\/15)\/(2\/147). Suppose -3*g = 4*g + u. What is g rounded to the nearest one hundred thousand?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1.03 + -3.03. Let m = -2 + 4. Let z = m + u. Does -0.1 = z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 0*u + 3*u**3 - 6*u**3 + 0*u**3 - 6*u wrt u?\nAnswer: -18*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 104, 113, 124, 137, 152?\nAnswer: 169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -331782, -331665, -331470, -331197, -330846, -330417, -329910?\nAnswer: -329325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -5149605 - 0.21?\nAnswer: -5149605.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.4 + -0.8. Let f = -0.77 + -0.03. Let z = j + f. Round z to 0 dps.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v = -87 + 73. Let d = 2 + 1. Let u be d*v\/((-63)\/(-12)). Solve -i - u = i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z - 2*s - 10 = -4*z, -s + 13 = z. What is the lowest common multiple of z and 38?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 + 3 = -3*q. Let a(r) = -r**3 + r**2 + 2*r + 1. Let m be a(2). Put q, m, 5 in descending order.\nAnswer: 5, m, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 158, 522, 1058, 1748, 2574, 3518, 4562?\nAnswer: 5688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 18 - 6*o**3 - 18.\nAnswer: -6*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert -47d7 (base 16) to base 3.\nAnswer: -221020011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 624 minutes after 8:56 PM?\nAnswer: 7:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = v**3 - 9*v**2 - v - 38. Let g be (-624)\/(-64) - 1\/(-4). Calculate the remainder when l(g) is divided by 23.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*t + 28 + 17. Let g be (5\/t)\/(1\/9). Let i = -1.5 + 1. Which is the nearest to 1\/3?  (a) g  (b) 2\/13  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-8)\/(-10))\/((1\/5)\/1). Let g(p) = -2*p**2 + 5*p. Calculate g(w).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = -c**3 - 40*c**2 - 449*c - 14185. Determine z(-38).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"}
{"text":"Question: Let j(n) be the first derivative of -1\/2*n**2 - n + 3. Let k be j(-4). Solve -5 = 8*l - k*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 163236, 163212, 163198, 163194?\nAnswer: 163200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 614 is divided by 197?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2512, -2586, -2708, -2890, -3144, -3482, -3916?\nAnswer: -4458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -10.2 - -10. Let g = -2.1 - -2. Which is the third biggest value?  (a) -4  (b) g  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -147*m + 142*m = -20 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*-2*sqrt(121) - 1*sqrt(121)*-3)\/(3*sqrt(704)*2).\nAnswer: -3*sqrt(11)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 13\/136 - -21857\/408. Let t = -53 + j. What is the second smallest value in 0, -3, -2\/5, t?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -13.162 + 6.162. What is the third smallest value in -2, a, -29, 0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -47688 (base 9) to base 12.\nAnswer: -16575","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*z**3 - 15504*z**2 - 46540*z - 31032.\nAnswer: 4*(z - 3879)*(z + 1)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l\/(l*l**(1\/3)*l*l)*(l**(4\/11)*l)\/l)\/(l\/(l**3*l)*l*l)**(-1\/31))**(3\/37) assuming l is positive.\nAnswer: l**(-2048\/12617)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3535 by 101.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 75213076 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4687.\nAnswer: 43, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bv when two letters picked without replacement from vgxgxgbgggxggbqx.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = -5*k - 50. Let s be f(-14). Solve -s*q + 20 = -20 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:13 AM and 1:01 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 241615.9 centimeters?\nAnswer: 2416159","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 20955 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 4\/(-2 - (-6 + 2)). Suppose o + 0 = 2. Suppose o*y - f = -0*y. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*i + x + 46, -5*x + 4*x - 121 = -5*i. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify f*(f*f**(-31))\/f*f**(3\/23) assuming f is positive.\nAnswer: f**(-687\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 105 - 108. Suppose 3*c - 6*c - 4*j + 62 = 0, -2*j - 32 = -2*c. Calculate the remainder when 14 is divided by (-13)\/m + (-6)\/c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a + 6 = -2*m, 6 = -m - 4*a - 9. Solve -m - 3 = -4*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 594 is divided by 117?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1021 + 2.25.\nAnswer: -1018.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*z + 0*z + z**2)*(-z + 3*z - z) + (0*z**2 + 0*z**2 - z**2 + (2 - 5 + 1)*(-z**2 + 4*z**2 - z**2))*(-9*z + 21*z + 21*z) + 10*z**3 - 3*z**3 + 6*z**3.\nAnswer: -151*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*g**2*m*z - 1218*g*m*z - 4*g*m - 44*m*z + 2267*m wrt g.\nAnswer: -4*g*m*z - 1218*m*z - 4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -328699229 + 1.\nAnswer: -328699228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -4*m + 4. Solve m*l - 3 = -l - 3*v, -5*l = 2*v - 17 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0 - -4. Suppose 5*m - 20 = v, -m - 2*v = -0*m - w. Suppose -2*y + m + 8 = 0. Calculate the highest common factor of y and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 60 and 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/9?  (a) 9\/44  (b) -0.9  (c) 2\/59\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 4614825 and 152625.\nAnswer: 2775","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*s + 6*s - 5*s)*(5 + 0 - 3 + (0 + 14 - 4)*(1 - 6 + 2))*(-2 + 0 + 6)*(-1 + 1 + 1).\nAnswer: -112*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = -2*z**2 - 19*z - 7. Let d be t(-9). Let m = d + 78. What are the prime factors of m?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from kkkgjekgkke?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -20*y - 30*y - 32*y - 20*y + 125*y - 29*y**2 - 506 wrt y.\nAnswer: -58*y + 23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11139.\nAnswer: 3, 47, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -103 + 118. Suppose a*m = 7*m + 184. Calculate the greatest common factor of 23 and m.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 28833828 or 28833825?\nAnswer: 28833828","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -31669415 divided by 5.\nAnswer: -6333883","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 48 = 8*k + 8. Let x = 26 + -4. Let u = x + -17. Is k <= u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = 2059*b + 3. Let u be p(3). Round u to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*u = -9*u + 12. Is 11 a factor of u\/(9\/6) + 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(-1)\/y)\/y**(1\/5)*(y**(-1\/3)*y)**(-12\/11) assuming y is positive.\nAnswer: y**(-161\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -3\/4190, 2, -57\/17?\nAnswer: -3\/4190","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:59 PM and 2:07 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 48021265 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2 - 1. Is j\/(4\/2344*2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = k**3 - 54*k**2 - 799*k - 106. What is y(-12)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 114585 and 19.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = -63*u - 270. Determine h(24).\nAnswer: -1782","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = 36*k - 13*k - 4*k - 13*k - 3*k - 6*k. Let v(t) = -t + 1. Let f be v(1). Let b(x) = 2*x + 0 + f*x + 0. Determine b(i(o)).\nAnswer: -6*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*u - 2 = 0, 2*z + 149*u = 146*u - 1 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ggnigggggnggngggnign. What is prob of picking 1 n and 3 g?\nAnswer: 286\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 3118703867 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 52 and 8606.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -13 - -9. Let y(m) = -2*m**3 - 5*m**2 - 3*m + 3. Let h(t) = 3*t**3 + 8*t**2 + 5*t - 5. Let k(x) = -5*h(x) - 7*y(x). Calculate k(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g + 2232 = 5*d, 21*g - 25*g - 1344 = -3*d. Calculate the greatest common divisor of d and 1184.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 176921 is divided by 58407.\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) be the first derivative of -5*g**2\/2 + 12. Calculate t(3).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7590813281 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 111 + (-114 - -20) - -35.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 7 + -3. Suppose -m*t - 3*p = -27, 2*t + 0*p + 4 = 2*p. Let h(f) = t*f - f - 6*f + f. Let x(y) = -2*y. Give h(x(u)).\nAnswer: 6*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = -31*p**2. Give r(1).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7.13163 months to decades.\nAnswer: 0.05943025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -1b - 1?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 95 and 513.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express (3*f - 5*f + 153 - 142)*(-2*f**2 + 4*f**2 - 3*f**2) in the form l*f**2 + s*f**3 + j + a*f and give l.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 + 11 + 1*-1 + -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 6, y: 5, n: 1, b: 7}. What is prob of picking 2 c?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -18*t**3 + 3*t - 2*t + 13*t**3 - 16*t**3.\nAnswer: -21*t**3 + t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 447708907 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 164*s = 162*s - 2*m - 30, -13 = -0*m + m for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 804772866.\nAnswer: 2, 3, 37, 3625103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 13425523 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1002 + -998. Let p(m) = 8*m**2 - 11*m + 14. Let x(u) = -3*u**2 + 4*u - 5. Calculate s*p(j) + 11*x(j).\nAnswer: -j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 23 - 21 = -24*u + 170 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 11 - 6. Let q = 123 + -87. Let d = q - 36.4. Sort 0, p, d in decreasing order.\nAnswer: p, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -6875830 + 3884.307.\nAnswer: -6871945.693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = 2*j**3 - j**2 + 2*j - 1. Let t be s(1). Suppose 0*n = -t*n + 38. Let x = n - 9. Solve 5*g + x = -5*p, -2*p = -7*p - 3*g - 10 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -3*p**2*u*w**2 - 85*p**2*u - p**2*w + p*u*w**2 - p*u - 2883*p*w**2 + 3*p*w - 45*u*w + w**2 wrt w?\nAnswer: -6*p**2*u + 2*p*u - 5766*p + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert a4a81 (base 11) to base 14.\nAnswer: 3daad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 238521 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = -n**3 + 26*n**2 - 6*n - 463. Calculate p(25).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 4276238 to the power of 1\/3, to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -287, -1896, -4515, -8144, -12783, -18432?\nAnswer: -25091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is ((2 - 4)*(21 + -14))\/2?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 52, 79, 124, 187, 268, 367, 484?\n\"Answer: 9*y**2 + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2 = -5*y + 2*x - 19, -y + 4*x - 7 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 1\/7  (b) 2  (c) -0.42\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-498*f**5 - 38*f**5 - 12*f + 12*f)*(-2 - 1 + 2).\nAnswer: 536*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l**2 + 6262396*l + 18787224 = 0. What is l?\nAnswer: -3, 1565602","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round -118049596 to the nearest one hundred thousand.\nAnswer: -118000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z + 15 = t, 2*z - 13 = -t - 2. Suppose 4*b - 20 = -z*i, 2*b + i = -3*b + 33. Solve -2 = m - b for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = 4*y**2 + 5*y + 4. Give n(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 4 + 2*u)*(64*u - 19*u + 107*u).\nAnswer: 304*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -34*t - 35 = 305 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2961*x**3 + 982*x**3 + 982*x**3 + 988*x**3.\nAnswer: -9*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + sqrt(832) - (2 + (sqrt(13)*5 - sqrt(13))))**2*-5.\nAnswer: -1045 - 40*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (12\/(-4))\/3*-14. Suppose -a*t + 11*t - 12 = 0. Is -9 greater than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (52\/(-39)*(-42)\/16 + -4)\/((-385)\/2618)?\nAnswer: 17\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*k + 125 = -135. What is the remainder when k is divided by 20?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26 = -4*l - 6, 5*l = -2*h + 29. Let n(r) = -4 + 3 - 4 + r + 4. Determine n(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 18*s**6 + 61717*s**3 - 19*s**2 - 130794?\nAnswer: 2160*s**3 + 370302","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 105 and 20685.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.1 + 0.1. Let r = 37 - 34.8. Let i = r - 2.14. Which is the second biggest value?  (a) 4\/3  (b) i  (c) t  (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g + 3*v - 2 = 1, 2*g - 4*v = -12. Let y(j) = 32*j**2 + 94*j - 1. Let l be y(-3). Suppose -13 = g*p - 1, -x = -l*p - 44. Is x not equal to 29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o - 50 = 2*w + 19, w = 5*o - 115. Let g(k) = 5*k - 102. Calculate the remainder when g(o) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.1 and 0.17.\nAnswer: 0.017","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 362425 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 40 and 148?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = -1696008*h**2 + 16*h + 4. Let s(w) = 1696006*w**2 - 15*w - 5. Let l(m) = -4*g(m) - 5*s(m). Let c be l(-1). Round c to the nearest 100000.\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 71 + 11 + 19 + -62\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g = 4*z + 28, 0*g - 4*g - 5*z + 6 = 0. Suppose -g*k + 12044 = 288. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 122592 - 48715. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2 + 3*z)*(-11 - 8*z + 11)*((2*z**2 - z**2 - 3*z**2)*(-2*z + 0*z - 2*z) + 4*z - 4*z - 2*z**3 + 2*z**3 - z**3 + z**3).\nAnswer: -192*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 16 + -11. Suppose -4*t - 16 = -f*t. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -f + 5*p = 55, -4*f = 288*p - 289*p + 2 + 9 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = 14*r - 2. Let b(x) = -x. Suppose 2*o + 2 - 8 = 0. Suppose -2*z + o*f = 15, z + 5*f = -0*f + 25. Let a = -1 - z. Determine a*y(p) - 12*b(p).\nAnswer: -2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/11, -2\/5, 0.19, -1\/4 in increasing order.\nAnswer: -2\/5, -1\/4, 2\/11, 0.19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1843 is divided by 42?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n = 3*b - 33, 0 = -5*n + 3*b - 10 - 37. Let y be (-1 - (-20)\/28)\/((-4)\/n). Let v be (-3)\/(-1 - 11)*2. What is the second biggest value in v, y, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 1\/4  (b) -3.8  (c) 2  (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) be the third derivative of 17*d**6\/60 + 191*d**3\/6 + 127*d**2 + 1. What is the first derivative of t(s) wrt s?\nAnswer: 102*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 101125946 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 211*q**3 - 78*q**2 + 2.\nAnswer: 1266","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -0.887 times 60\nAnswer: -53.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is one fifth of a hour in seconds?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(5) + 3*sqrt(405) + (sqrt(405) + sqrt(405)*-3 + sqrt(405))**2.\nAnswer: 28*sqrt(5) + 405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 9 and 41649?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 14591 (base 14) to base 15.\nAnswer: ee69","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*r - 13*r = 10*r + 208 for r.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3*d - d - 4*d)*(-2 - 13*d**2 + 2) to a*d**3 + w*d + m*d**2 + o and give a.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 12.7262 - -0.0738. Let w = 2885.061644 + -2872.262. Let z = m - w. Round z to 5 decimal places.\nAnswer: 0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 45*v**2 - 56*v**2 + 50*v**2 + (2 + 3 + 3)*(-7*v + 4*v + 4*v)*(-v + 0*v - v) to the form l + o*v + s*v**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*d**3 - 5*d**3 - 2*d**3 + 7749.\nAnswer: -13*d**3 + 7749","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.4 - 0.7. Let o = 0 - k. Let q = -0.5 + o. Which is the third smallest value?  (a) -0.06  (b) q  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2472, -9865, -22190, -39447?\nAnswer: -61636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 181 + -780. Let d = c + 604. Solve 0 = -d*j + 3*r + r - 40, -4*j - 3*r = 1 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1.4 - -1.6. Let l = 7 - 2. Let s be (-6)\/((-11)\/((-55)\/(-10))). Which is the nearest to -0.1?  (a) j  (b) s  (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 27509 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:48 PM and 9:58 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.198 or 1?\nAnswer: -0.198","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*k + 5*k - 13 - 117.\nAnswer: 10*k - 130","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 90 and 3141?\nAnswer: 31410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c = -5*c. Suppose -4*n = -4*g - 3*n + 14, 22 = 4*g + 3*n. Suppose 2*o + c*v = -3*v + 29, 4*o = g*v + 68. Solve -o = 4*h - 0*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((h\/(h**3*h))\/h)\/h**4)\/(h**7*h**(-2))*((h\/(h*h**(2\/3)\/h*h))\/h)**(-3\/2)*h**(-3)\/h**(2\/7) assuming h is positive.\nAnswer: h**(-193\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express 7 - 4*w - 3613*w**2 + 3612*w**2 - 12 - 12 + 2*w**3 in the form a*w + m*w**2 + t + f*w**3 and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express 181 + 92*p - 423*p - 1242*p - 181 as m + y*p and give y.\nAnswer: -1573","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Do -6.46 and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 105.2?  (a) 0.1  (b) -0.4  (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 46, 137, 248, 379, 530, 701?\n\"Answer: 10*z**2 + 61*z - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*g = 360 + 96. Let f(o) = o**3 + 6*o**2 - 6*o - 5. Let t be f(-6). Let s = t - 21. What is the remainder when g is divided by s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 9710?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-12 - -6) + (-14 - (-9 - -5)) + 2?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1521172.\nAnswer: 2, 131, 2903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k = 8, 4*k = 3*j - 16 + 6. Let u = 1 + j. What are the prime factors of 48\/6 - (u + 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 136435?\nAnswer: 5, 13, 2099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*k = -k. Suppose 4*w = 4*s + 24, k*s - 2*s = 5*w - 23. Suppose 11 = 8*h + 3. Calculate the least common multiple of w and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*((1*sqrt(175) + 1 + sqrt(175) - sqrt(175) - (2 + (sqrt(175) - (sqrt(175) + 3)))) + 2 + sqrt(175)*1*5*2))**2.\nAnswer: 7040*sqrt(7) + 339056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 295?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nfe when three letters picked without replacement from {n: 3, e: 1, f: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -2991 take away 0.9725?\nAnswer: -2991.9725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 85\/12 + -27\/4. Let j = 1 - 4. What is the nearest to -2 in 1\/4, h, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 112 minus -9.7?\nAnswer: 121.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 86*h**6 + 8*h**5 + h**3 - 6*h**2 + 8*h + 11?\nAnswer: 10320*h**3 + 480*h**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 482*d - 3 = 481*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p = 2*m + 400, -5*m = -9*p + 7*p - 254. Let d = p + 138. What is the remainder when 34 is divided by d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -10, -111, -310, -631, -1098, -1735?\n\"Answer: -4*m**3 - 25*m**2 + 2*m + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0.2 + 0.8. Suppose -5*g + 4*q = 6 + 1, -3*g - 3 = -2*q. Suppose 5*l - g - 4 = 0. Is c smaller than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 673, 673, 675, 679, 685, 693?\nAnswer: 703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -229\/4830 and 137\/11260340.\nAnswer: 33781020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:00 AM and 12:47 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -2\/65  (b) -2\/13  (c) 57.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = -s**3 + s + 7. Let q = -5 + 5. Let y be f(q). Solve -y*u - 10 = -2*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 656148 is divided by 337.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*z - 5*l - 10 + 25, 5*z - 4*l + 12 = 0. Which is bigger: -6\/67 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 26073?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: ((-216)\/(-15))\/(((-3)\/9)\/((-95)\/(-114)))\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = 5*j + 10. Let m(v) = 3 - 5 - 1 + 2 - v + 0*v. What is -i(r) - 4*m(r)?\nAnswer: -r - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 3200922244 to the power of 1\/2, to the nearest integer?\nAnswer: 56577","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 6195 and 34790?\nAnswer: 6157830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 42, 4, 1, -3, 24 in increasing order.\nAnswer: -3, 1, 4, 24, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find s, given that -4*s**4 + 120*s**3 - 540*s**2 - 5560*s - 4896 = 0.\nAnswer: -4, -1, 17, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = -s**3 + 16*s**2 - 10*s - 29. Is c(7) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bwf when three letters picked without replacement from fprrdbw?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 850 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 67391 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = 76*c + 10094. Let z be q(-133). Put -15, 5, 2, -1, z in descending order.\nAnswer: 5, 2, -1, z, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 853 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6697?\nAnswer: 37, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -13, 8, 51, 122, 227?\nAnswer: 372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 35*b - 4*b + 5 - 5.\nAnswer: 31*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = w - 9. Suppose -2*u = u. Determine v(u).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1195, 896, 357, -416, -1417, -2640, -4079, -5728?\nAnswer: -7581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(-1)*f*f)**29\/((f**4*f)\/((f**(-5)\/f)\/f)) assuming f is positive.\nAnswer: f**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: (22 - 84) + 45 - -22\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -914 + 919. What is the third biggest value in -0.05, 0, -4, t, 2\/11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 308 and 2786?\nAnswer: 61292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 + (-272 + 271 - (1 + (-1 - 10)) - 9).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*sqrt(294)*2)\/(-3*sqrt(486) - sqrt(486)))\/((sqrt(1008) - (sqrt(1008) + sqrt(1008) + 3*sqrt(1008))*-6) + 1*sqrt(1008)*-2).\nAnswer: sqrt(7)\/6264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = -11*d + 20. Let s(x) = 9*x - 16. Let g(r) = 4*q(r) + 5*s(r). Let a(v) = 10*v - 2. Give g(a(c)).\nAnswer: 10*c - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 - 4 = -3*h. Let k(m) = m**2 + 4*m + 3. Let j be k(-3). Suppose 2*d + 1 = -t, j = -5*d - 0*t - h*t - 4. Solve -a + 0 = -d for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (13 + -11)*(-17)\/(-2). Let s = t + -22. Sort s, -2, -18.\nAnswer: -18, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 122817320 divided by -6140866?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*(sqrt(117) + sqrt(117) + (sqrt(117)*-2 + sqrt(117) - sqrt(117)) + sqrt(117) + sqrt(117)))\/(sqrt(81)*1).\nAnswer: -10*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6, 4, 3283570, -4.\nAnswer: -6, -4, 4, 3283570","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -3 + -22231?\nAnswer: -22234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 - 2 - 220*h - 215*h.\nAnswer: -435*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 41018556.\nAnswer: 2, 3, 3418213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 496 and 128.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1634 and 1368.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4)\/4*7*7\/(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 48, 26, 4, -18, -40, -62?\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2616 and 9483?\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 10\/6 - (-20)\/(-30). Let u be ((-3)\/(-84))\/(l\/(-1)). Let f = -13 - -14. Is u greater than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is eighteen fifths of a kilogram in grams?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m = 3*p - 87, 25*m - 24*m + p - 17 = 0. Calculate the highest common divisor of 117 and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 92900 rounded to the nearest 10000?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 - (4 - 3) - (7 - -1 - 2).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2128488.\nAnswer: 2, 3, 131, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -0.3, 2\/15, 5, 1229, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 6066259477 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 36171.97 days to microseconds.\nAnswer: 3125258208000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 13144\/182373*(-6)\/(-8).\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -296, 0.183, -0.1, -6\/11 in descending order.\nAnswer: 1, 0.183, -0.1, -6\/11, -296","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.68, 0.06, 0.1 in ascending order.\nAnswer: -0.68, 0.06, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve n + 11 - 24 = 2*o, -94*o - 523 = 3*n + 38 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:52 AM and 10:56 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w**3\/5 - 21264*w**2\/5 + 11392722*w - 471022020 = 0. Calculate w.\nAnswer: 42, 5295","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ggxx when four letters picked without replacement from xxxxxxgxxoxgxxxxxxgx?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 28351 (base 14) to base 8\nAnswer: 302163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 0.3*-2025947\nAnswer: -607784.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**2)**(11\/5)\/((h*h\/h**(-1\/2))\/(h*h**(-1\/3)*h)) assuming h is positive.\nAnswer: h**(107\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*o + o = 0. Let c(l) = l - 1. Let w be c(3). Suppose 3*g - 5 = w*g. Solve f + o + g = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) be the second derivative of -4\/3*v**3 + 0 - 123*v - 1\/3*v**4 - 3\/2*v**2. Let o(b) = -3*b**2 - 7*b - 2. Calculate -4*k(u) + 5*o(u).\nAnswer: u**2 - 3*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor o**2\/8.\nAnswer: o**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 76663.\nAnswer: 31, 2473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert -100111001001011101 (base 2) to base 14.\nAnswer: -42617","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 8451?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 u and 2 p when three letters picked without replacement from {p: 6, u: 3, y: 6, l: 2, e: 3}?\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bp when two letters picked without replacement from {b: 3, p: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1960, 7877, 17746, 31573, 49364, 71125, 96862, 126581?\nAnswer: 160288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n**45*n)\/n**(-16))**23 assuming n is positive.\nAnswer: n**1426","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -m - m = 9*s + 102, -163 = 5*s + 5*m + 127 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 42\/294*1*2\/(-6)\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 507\/338*((6 + -14)\/(-24))\/(1\/(-106)).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11582774 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 11280543?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0 + 5. Let b = -19899 - -19043341\/957. Let d = 965\/3828 + b. What is the nearest to d in 0.7, p, 1?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = -2*i**2 - 4*i - 9. Let c(l) = -3*l**2 - 5*l - 9. Calculate -4*c(t) + 5*h(t).\nAnswer: 2*t**2 - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express -1476*n**4 + 2*n**3 + 742*n**4 + 743*n**4 + 3 - 7*n + 1 as q*n**4 + i*n**3 + v + y*n + z*n**2 and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {d: 2, q: 4, s: 6}. What is prob of picking 3 s?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(7) - (1 + sqrt(7) + sqrt(7)))**2 + 0 - 3*sqrt(28).\nAnswer: -4*sqrt(7) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*s + 0 + 0)*(-s - 4*s + 6*s) - 8*s**2 - 26*s**2 - 3*s**2.\nAnswer: -39*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 5, -21, -4, -0.04, 71?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = 392*l - 21. Let o(k) = -k**3 + 38*k**2 + 78*k + 82. Let r be o(40). Does 18 divide v(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 151 + -149. Let r(g) = 2*g + 4*g**3 - 5 + 159*g**j - 154*g**2 - 5*g**3. Calculate r(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1110414531.9410303009 - -1110414532. Let u = -0.05897 + b. What is u rounded to 7 decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 118 - 80. Let j be (-6)\/2*(o\/(-3) + 10). Let r = 24 + -4. What is the greatest common factor of r and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -71*g - 10241 + 10241 + (-1 + 3 - 4)*(5 - 5 + g) - 190*g + 32 + 8 - 42 as f + a*g and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -4642247\/50 or -92845?\nAnswer: -4642247\/50","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Does 20 divide 1760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from nmnnmmnnnmn.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 1921*j**3 + 1796 wrt j?\nAnswer: 5763*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*l = -5*q + 11, 300*q - 1 = -307*q + 612*q - 2*l for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -b97 (base 13) in base 7?\nAnswer: -5532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -412 = -35*n - 34*n - 34*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 18*l + 3*l**2 - 40*l + 15*l)*(-2 - 3 + 3).\nAnswer: -6*l**2 + 14*l - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -2\/7 or -10623?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 3 and -2.7618?\nAnswer: -8.2854","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 e and 2 r when four letters picked without replacement from rereee?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.5 - -46382.\nAnswer: 46381.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = 0*o**2 + 42050 + 6*o**2 - 3*o**2 - 42050. Let s(a) = 1844*a. Calculate l(s(u)).\nAnswer: 10201008*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round 44743000 to the nearest 1000000.\nAnswer: 45000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 294 and 10794?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*x + 35 = x + x - 4237*a + 4236*a, -2*x + 5*a + 37 = 0 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1046, 2094, 3142, 4190, 5238, 6286?\nAnswer: 7334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((q**(-2\/11)*q)\/q)\/q*q*q\/(q*q**(-7\/3)))**12 assuming q is positive.\nAnswer: q**(284\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 118 divided by 1025354.\nAnswer: 59\/512677","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 6529269?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 6.2411612 - 0.327\nAnswer: 5.9141612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 318419*h**2 + 3*h - 323756 wrt h?\nAnswer: 636838*h + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -62, -317, -1002, -2333, -4526, -7797, -12362, -18437?\nAnswer: -26238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1126763390?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = 3*s, -4*y + y + 17 = 2*s. Calculate the remainder when (-7 + 138\/18)*(-369)\/(-6) is divided by y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(2*sqrt(68)*6 + sqrt(68) + 3*2*sqrt(68) + sqrt(68))\/(-6*(-2*sqrt(4)*-2 - sqrt(4) - sqrt(4))).\nAnswer: -10*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 210 (base 6) to base 2\nAnswer: 1001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 624 = 38*u + 206 for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = 1 - 5 + 4*d + 1 + 1. Let h be p(5). Let l be 158\/6 - 4\/(-6). What is the highest common factor of h and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 823570097?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x - 5*q - 5 = 0, 4*x + 15 = 2*q - 19. Let c be 9*x\/(-270) + 1\/(-5). Factor -4\/9*d**2 + c + 2\/9*d.\nAnswer: -2*d*(2*d - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = t**5 - 19*t**3 - 2*t + 29. Let f(g) = g**5 + g**3 - g + 2. Let b(h) = -c(h) + 4*f(h). Find the second derivative of b(d) wrt d.\nAnswer: 60*d**3 + 138*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1278, 4162, 10274, 21228, 38638, 64118, 99282, 145744?\nAnswer: 205118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 324 - -3424. What is the thousands digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ykyk when four letters picked without replacement from {y: 13, k: 5}?\nAnswer: 13\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u + 6 - 33 = 0. Let l be 0 - u\/3 - 3. Solve l*x = -5*x + 10 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 963 - 740. Let f be 1044\/10 - 4\/10. Let y = x - f. Is 19 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -266316 or -266314?\nAnswer: -266314","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = -9*i**2 - 35*i - 5. Let s(g) = 194*g**2 - 8 - 52*g - 114*g**2 - 94*g**2. Calculate -8*q(h) + 5*s(h).\nAnswer: 2*h**2 + 20*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 27 + -16. Let p = -7 + r. Let a = p - 2. Solve -d = a + 2 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 159 minutes before 7:09 AM?\nAnswer: 4:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 53894 = 2995*y - 6936 - 22698 - 6322 for y.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-5028)\/20 - (-3)\/((-15)\/(-2)). Let k = i + 253. Solve 0*a - k*a = -8 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 6, -10, -36, -78, -142, -234?\n\"Answer: -v**3 + v**2 - 12*v + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.4 plus 4905?\nAnswer: 4904.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express (0 - 1 + 0)*(21*a + 32 - 32)*(2*a + a - a)*(a + a + 0*a)*(-6 + 1 + 2) in the form b*a**3 + h*a**2 + c + y*a and give b.\nAnswer: 252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2322)\/7740)\/(3\/(-30))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -51*l - 11*l - 682 = 0 for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-11 - (-12 + 8)) + 1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*q + 11 = -i, 20*q - 10830*i = -10843*i - 137 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1.6 + 1.77. Let q = o + 1.83. Let u = -0.8 - -0.3. What is the closest to -1 in u, -3\/7, q?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -15297*z**6 - 2*z**4 + 42*z**2 - 182*z wrt z?\nAnswer: -1835640*z**3 - 48*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = -l + 27. Calculate x(16).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -40603, -81202, -121801, -162400, -202999, -243598?\n\"Answer: -40599*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Product of 48 and -0.2.\nAnswer: -9.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 16296 is divided by 47?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor 16000*n**4 + 11423661600*n**3 - 1713549480*n**2 + 85677478*n - 1427958.\nAnswer: 2*(n + 713979)*(20*n - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = -h + 6*h. Suppose 2*p - h = 0, -4*g - 4*p + 1 = 21. Let c be ((-2)\/g)\/(5\/(-15)). Sort 5, 2, c in decreasing order.\nAnswer: 5, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 151445018?\nAnswer: 2, 23, 29, 107, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 67 + -99 + -64 + 115 + (0 - -41)\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7276867 is divided by 1569?\nAnswer: 1414","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort 57, 2, 5, -1024 in increasing order.\nAnswer: -1024, 2, 5, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*h - 322 = 52*h for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m + 16 = -3*u, -4 = 5*m - u + 4. Let p(v) = -2*v - 1. Determine p(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -43524.66 rounded to the nearest 1000?\nAnswer: -44000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put together -1100633 and 3.\nAnswer: -1100630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 130 minutes after 9:03 PM?\nAnswer: 11:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = -z**2 - 2*z + 633. Is b(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.2, 5\/37, -30, 3, 1 in decreasing order.\nAnswer: 3, 1, 0.2, 5\/37, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 1403 (base 6) to base 11\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00422383048 rounded to 6 dps?\nAnswer: -0.004224","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = -22*f - 375. Give v(-17).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -7*a**4 - 127*a + 1053?\nAnswer: -28*a**3 - 127","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) be the first derivative of 5*f**2 - 28*f - 27. Let b be l(3). Solve 8 = -2*g - b for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -78 + 113. Let v be 13 - 7 - (-1 - 0 - 0). What is the greatest common divisor of v and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1 + -1. Let l be ((-72)\/32 - 2\/(-8))\/(-6). Which is the nearest to l?  (a) y  (b) 0.4  (c) -1\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y\/(y**(5\/7)\/y)*y**(-7))**(-37)\/((((y\/(y*y**4*y))\/y)\/(y*y\/y**(-2\/5)))\/(y**(-5)*y\/y**(-5))) assuming y is positive.\nAnswer: y**(7729\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o + 2 = -2*h + 36, 77 = 5*o + h. What is the greatest common divisor of 195 and o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 0, -2, -4, 0.8, -138, -101?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find o such that -o**3 + 6081*o**2 - 12325824*o + 8327660544 = 0.\nAnswer: 2016, 2049","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-216)\/(-32) - 0 - ((-20)\/16 - -1).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = 5*i**3 - 21*i**2 + 6*i + 58. Let s(w) = 2*w**3 - 7*w**2 + 2*w + 20. Let z(q) = 3*n(q) - 8*s(q). Calculate z(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 65343\/155 + -2083\/5. Let x = 11734\/2387 - l. What is the common denominator of x and -31\/35?\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {b: 13, u: 3, y: 3}?\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 180715?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*y + 2*y + y + y.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand -18 + 18 - 6*a**3 + (-2*a + a + 2*a)*(-3*a**2 + 5*a**2 - 3*a**2) + 4*a**3 + 2*a**3 - 3*a**3.\nAnswer: -4*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0 - 0. Suppose 3*l + 4*x = 2*x + 17, 7 = 2*l - 3*x. Let c = l + u. What is the greatest common divisor of c and 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i = -i. Let w = 6688 - 6684. Suppose -n + i*n - 11670 = -5*u, -w*u + 2*n = -9342. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = c - 3. Let o be x(3). Let q(u) = -u + 0*u + o*u + 6. What are the prime factors of q(0)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y + 2*y + 3 = 4*j, -3*j - 6 = -2*y. Let x = -3 + j. Let w(k) = -2*k - 4. Let p be w(x). Sort -4, p, -1 in decreasing order.\nAnswer: p, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1011102200021 (base 3) to base 11\nAnswer: -392911","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = -r**2 + r + 3. Let n(s) = s**2 - s - 2. Suppose 2*f - 6*f = -l - 50, 12 = -4*f. Let h = l + 67. Calculate h*n(p) + 3*d(p).\nAnswer: 2*p**2 - 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 13, 120, -2, -4, 67 in increasing order.\nAnswer: -4, -2, 2, 13, 67, 120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 13\/5 of a kilometer in meters?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1791 - 1790.6. Let x = 0.3 + -0.3. Sort x, g, -13 in decreasing order.\nAnswer: g, x, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 124086 to the power of 1\/2, to the nearest integer?\nAnswer: 352","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 192319 + -387689. Round v to the nearest one thousand.\nAnswer: -195000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 30*w + 456*w + 405*w + 14256 = 0 for w.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = -2*u**3 - u**2 + 5*u + 1. Let h(k) = 2*k**3 + 2*k**2 - 6*k - 2. Let s(c) = -4*g(c) - 3*h(c). What is n in s(n) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j - 9 + 33 = 0. Let u(a) = -2*a**2 + 7*a - 1. Let l be u(3). Let p = l + j. Calculate the lowest common multiple of p and 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -37 + 57 - 397*x + 387*x in the form b*x + d and give d.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(66) + sqrt(66) + -3*sqrt(66) + sqrt(66))\/sqrt(6) - sqrt(176)*-1) + (4*(sqrt(539) + (sqrt(539) - -2*sqrt(539))) + -3)**2.\nAnswer: -668*sqrt(11) + 137993","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 391167 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 182 - 178. Factor -91 + 3*a**5 - 6*a + 9*a**x + 3*a**3 - 9*a**2 + 91.\nAnswer: 3*a*(a - 1)*(a + 1)**2*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = 2*v**2 + 4*v - 1. Let w be o(-3). Suppose -q = 4*q + 3*l - 36, -16 = -q - w*l. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 518931817 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 2*(2 + (-2)\/(-4)). Suppose -4*q - 4*f = 16900, -4141 = 3*q - h*f + 8558. Is 21 a factor of (1\/4)\/(1 - (-4221)\/q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1 + -7 - (-57 + 47)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -129*p = 2*b - 132*p, -2*b - 17*p = -19*p for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 5\/1366?  (a) -0.2  (b) 3  (c) 2  (d) -5\/12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1654158 and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23*d = -19*d - 60. Suppose d = a - 0*a. What is the highest common divisor of a and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 80976*m**2 - 15762 wrt m?\nAnswer: 161952*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-2*g + 0 + 0)*(9 - 18 + 19) - 4*g + g + 4*g)*(-3*g - 4*g + 2*g).\nAnswer: 95*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 376051 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -29854, -59727, -89612, -119515, -149442, -179399, -209392, -239427?\nAnswer: -269510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -37 + 8 + 11 - -20.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 58 a factor of 17095268?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is (-9950)\/(-30) + (-4)\/6 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1736010.00007 - 1735973. Let x = 37.87 + -0.87. Let y = h - x. What is y rounded to 5 dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or 618\/14135?\nAnswer: 618\/14135","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23 = -3*z + r, 5*r + 3 - 8 = 0. Calculate the remainder when 24 + 5\/(10\/4) is divided by z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(150)\/sqrt(3))\/sqrt(10) - (1*sqrt(5) + 2)) + 3 + 2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 + 195\/(-91) + (-3)\/(-63)*38?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1070?\nAnswer: 2, 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.1159368 - -0.11183. Round f to 4 dps.\nAnswer: -0.0041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -30 + 21. Let w = m - -14. Suppose 0 = d - 4*p + 4, 4*p = -d + w*d - 32. Solve -5*l = 37 - d for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = 537941*l. Let b(g) = -2*g**2. What is b(q(c))?\nAnswer: -578761038962*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 431052 = 33*r - 722307 + 287538. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*b**3*d**2 - 3620*b**3*d - 4*b*d - 2*b + 20663*d**4 + 505*d**3 + 726 wrt d.\nAnswer: -4*b**3 + 247956*d**2 + 3030*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 divided by 7752?\nAnswer: 5\/7752","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1998 and 2889922.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 119*a*c - 19559*a + 254*c**2 - c wrt c?\nAnswer: 119*a + 508*c - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 s and 2 k when three letters picked without replacement from sksskskkkkddkss?\nAnswer: 18\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-20 - -10 - -7) + 2 + -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s = 12, 0 = 3*q + 2*q + s - 28. Suppose -4*b = -2*t - 2*b, -3*t - q*b = -24. Find the third derivative of 0*k**3 - k**3 + 2*k**2 + 4*k**t wrt k.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence iiii when four letters picked without replacement from {i: 9, j: 5}.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4125*-463.\nAnswer: -1909875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = 3*m + 46. Calculate k(-16).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 6066 and 1763184?\nAnswer: 5289552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = -15*p + 89. Let d be n(9). Is d >= -45?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g + h - 294 - 3 = 0, 0 = -5*g - 4*h + 288. What is the greatest common factor of g and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b - 4*w + 925 = 0, 7*b - 3*w + 1245 = 11*b. Suppose -3*y = -216 - b. What is the remainder when y is divided by 90?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 81 + -79. Solve d*h - 4 = z + 3, -3*z + 2*h - 5 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 72854583301 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0 + -0.4. Let s be 3 + 56\/(-26) - 1. Which is the smallest value?  (a) s  (b) m  (c) 1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 100 = -19*l + 271. Suppose -276 = -s + 4*g - 0*g, 0 = -3*g - l. Calculate the highest common factor of 96 and s.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 + -4 + -1 + 1 + -3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = -31*h + 41*h - 10 - 24. What is the units digit of d(14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30 - 350 = -2*m. Suppose 5*x - 435 = -m. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*a - 6 = 3*y, 3*y - 5*a + 10 = 2*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*f = -77 + 72 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-67*c + 153*c - 12*c)*(c + 8 + 0*c - 6).\nAnswer: 74*c**2 + 148*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = -2*c**2 - 9*c. Let d be y(-4). Suppose -5*t + 4 = -d*t. Let o be (1\/15)\/(1\/t). Is -1 less than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 2 + 4 + (2 - -2). Suppose -99 = -m*l + 91. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 7 - 2. Let u(l) = -l**2 - c*l - 2*l**3 + 0*l**2 + 0*l**2 - 7 - 4*l**2. Let x be u(-5). What is the greatest common factor of x and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from iiiiiiiiiiiiiiihiiwi. What is prob of sequence ii?\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (1 + -3)*66\/(-12). Suppose b*y + 10 = 16*y. Solve y*t = 6*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/10 of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(320) + 1 - sqrt(320) - ((sqrt(80) - sqrt(80)*2)**2 + sqrt(5)).\nAnswer: -79 - sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -1562014075 + 0?\nAnswer: -1562014075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*o**2 + 3405*o**3 - 4*o**2.\nAnswer: 3405*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 1012 + -12220000?\nAnswer: -12212322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = y + 26. Let g be n(-6). Suppose -4*q = -2*c - 38, 7*c + g = 3*c. What is the greatest common divisor of 1 and q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 14262 + -28446. What is the hundreds digit of (a\/45)\/(4\/(-10))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -22.40551 and 304.3.\nAnswer: 281.89449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 267.864 millennia in decades?\nAnswer: 26786.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -351, -779, -1491, -2487, -3767?\nAnswer: -5331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide -122 by -6149.\nAnswer: 122\/6149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -23 + 55. Let c = s + -17. Is c a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7794\/(-21)*(-7)\/2.\nAnswer: 3, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18*u = -14*u - y + 12, 5*u + 3*y = 2 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Divide 875 by 2.\nAnswer: 875\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = -4*d - 2. Let p be 2*-3*(-68)\/24. Suppose p + 3 = -4*q, -5*g + 5*q + 120 = 0. Let x(l) = -7*l - 7*l + 3 + g*l. What is -3*x(j) - 4*y(j)?\nAnswer: j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = -l**3 - 28*l**2 - 98*l - 15. What is t(-24)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 9190 - 9188. Let l(x) = 4*x**2 + 1. Let o be l(-1). Solve 5*y = -3*s + 9, -g*s - 4*y = -o*y - 6 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -10102440043 (base 5) in base 11?\nAnswer: -5839341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 2, 6986, -3 in decreasing order.\nAnswer: 6986, 4, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 21259 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.4 times 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 646 minutes after 10:56 AM?\nAnswer: 9:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 13\/5 of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = -6*h**2 + 1. Let t(f) = -2834*f**2 + 545. Calculate -545*c(a) + t(a).\nAnswer: 436*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -182.3 + 182.2997627. What is y rounded to 5 decimal places?\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -49988\/11 smaller than -4544?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 146334*y**2 + 0*y**3 + y**3 - 292683*y**2 + 146349*y**2.\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17 - 103 = -12*z. Suppose -30*t = -50 - z. Factor 2\/9*a**t - 2\/9*a**3 + 2\/9*a - 2\/9.\nAnswer: -2*(a - 1)**2*(a + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 8\/288*-69 + (-4)\/(-2). Sort -2\/15, -2, o in descending order.\nAnswer: o, -2\/15, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 586271388.\nAnswer: 2, 3, 48855949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 2247  (b) 0  (c) 3  (d) -0.1  (e) 2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = 150*d - 1195. What is p(14)?\nAnswer: 905","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 12533, 49224, 110375, 195986, 306057, 440588?\nAnswer: 599579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {j: 5, q: 5}. What is prob of picking 3 q?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*h + w + 16 = 39, -5*h - 2*w = -37 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-352)\/1716)\/((-4)\/3).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -3, -8, 3 in decreasing order.\nAnswer: 3, -1, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 5.7, 0.1316, 0, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 0\/(-6) + 1\/5. Let z = -2.02 - -0.02. Which is the nearest to z?  (a) 1  (b) f  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 165638131 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 f and 2 g when three letters picked without replacement from pgpgf?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -187360 divided by -8.\nAnswer: 23420","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 175 minutes after 1:46 PM?\nAnswer: 4:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((h*h\/h**(-2\/5)*h**18)**(-10))**(4\/17))**(1\/2) assuming h is positive.\nAnswer: h**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 419985, 839967, 1259949, 1679931, 2099913, 2519895?\n\"Answer: 419982*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = -17*z + 9. Suppose -5*i = -2*t + 33, -5*t + 9 = -2*i - 0*i. Calculate the remainder when d(i) is divided by 27.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 694850 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*s + 5*s - 7. Let d be (s\/(-14))\/((-6)\/(-4)). Let y = 699 + -699.3. Sort 1, d, y in descending order.\nAnswer: 1, y, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -14, -61, -182, -413, -790, -1349, -2126, -3157?\n\"Answer: -6*f**3 - f**2 - 2*f - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2038.\nAnswer: 2, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 21791.\nAnswer: 7, 11, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*z**3 + 84*z**2 - 72*z - 160 = 0.\nAnswer: -1, 2, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 11\/(-11) + -5 + 1 + 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6390*s = -6349*s - 98 - 1624. Suppose 2*c + h - 128 = 0, 3*c + 5*h = c + 112. What is the smallest common multiple of c and s?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 4906500 and 56915400.\nAnswer: 284577000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 95981 is divided by 13.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w + 57 + 30 = 0. Suppose 23 = -2*z + w. Let l(s) = -2 + 2*s**2 - 4*s**2 + 3*s**2 - 2*s. Give l(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d - 4*m - 3377 + 947 = 0, 5*d + m = -2445. Let h = -288 - d. What are the prime factors of h?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 264 and 28644.\nAnswer: 57288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = y**3 + 22*y**2 + 36*y + 1110. Let n be x(-22). Solve -4*g - 306 + n = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -10*q - 255*q + 150*q + 575. What is the smallest value in q, -1\/11, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*t - 66 + 75, 5*k = 5*t for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 7.0218 + -7.2218. Suppose -2*p - 3 = -3*p. Which is the nearest to 0.1?  (a) p  (b) -18  (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*z + 7*z - z)*(-5 - 3 + 3)*((-3 + 1 + 1)*(-4*z - z + 4*z) + 4 - 4 + 5*z).\nAnswer: -120*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (3 - 27\/6) + (-8797)\/(-2). Let m(n) = -4397 + 3*n + k. Suppose 3*q = -2 + 11. Determine m(q).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 30 + -48. Suppose -90 = -3*g + 4*q, -2*g + 55 = -q - 10. Let f = i + g. What is the greatest common divisor of f and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = -8*d + 228. What is the remainder when m(22) is divided by 20?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2595 = -29*c - 159. Calculate the remainder when 1089 is divided by c.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 1\/((-1)\/(-1)) + 6. Let i(j) = -j + 10. Let d be i(b). Suppose 2*a - d = 3*a, c + 7 = -5*a. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -4\/5, -1, 309, -2\/5, -2\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 24 + -14?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g + 6 = -g. Find the second derivative of -4*k - 4*k + 2*k**g + k + 3*k wrt k.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 120 + 1060*u + 7*u**2 - u**2 - u**2 + 697 + 238.\nAnswer: 5*(u + 1)*(u + 211)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 53 - 53.1. Let w = 386 - 5788\/15. Which is the closest to v?  (a) 0.2  (b) 3  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 4\/(-16) - 105\/(-100). Let v(j) be the first derivative of 8\/15*j**3 + z*j**4 - 5 + 0*j + 0*j**2 + 1\/15*j**6 + 2\/5*j**5. Factor v(g).\nAnswer: 2*g**2*(g + 1)*(g + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1 + 5 - 3)*(-13 + 5 + 32)*(84040 - 84040 - 555*o) as g*o + q and give g.\nAnswer: -13320","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in thirty-two fifths of a millisecond?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 650\/(-30) + 15\/9. Let m be 28*(195\/f)\/(-13). Solve 0 = -0*n - 7*n - m for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = 31*w + 2. Let q(g) = -3348*g - 217. What is 217*b(p) + 2*q(p)?\nAnswer: 31*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-18 - -6) + 24 + -3 + 216\/(-16)?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*k - 5 = a, 161*a + 6 = 4*k + 155*a for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qkqqkqqkqhkahqq. Give prob of picking 1 q and 2 k.\nAnswer: 48\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand 8*b**2 + 61*b**2 + 81*b**2 + 2*b**2 - 2*b**2 + b**2 + 2 + b**2 - 2 - b**2 + b - b + (-2*b**2 + 0 + 0)*(1 - 1 - 1).\nAnswer: 153*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 4050396 and 56?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j = 4*y - 496012, 3*y - 924517 - 1059492 = -4*j. What is j rounded to the nearest 10000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = 26*o + 184. Give r(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 19537.2ml in litres?\nAnswer: 19.5372","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -18 greater than -20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1)\/((6\/(-792)*4)\/((-2)\/6))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 308524 is divided by 2594?\nAnswer: 2432","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -10 - -15. Suppose -5*h + 125 = v*a, a + 137 = 6*a - h. Does 9 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-20)\/8*(-1)\/30. Let f = c + 1\/6. Let i be (5 - 4)*(-1)\/3. What is the third smallest value in 1, i, f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 44658 is divided by 99.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2\/3)\/((-8)\/(-6))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 152 minutes before 4:42 PM?\nAnswer: 2:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 4320 and 4752?\nAnswer: 47520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 0 - 11114?\nAnswer: -11114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -4, 136, 0.01 in decreasing order.\nAnswer: 136, 1, 0.01, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20175 - 120841 = 4006*f - 16830 for f.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 774 is divided by 130?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a - 17 = -2. Suppose 0*o = 2*o + 2*q, -5*o + 4 = a*q. Suppose o*x - 4*x = -48. Calculate the highest common divisor of 16 and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (4\/6)\/((-67)\/9 + 7). Sort v, -2, -15.\nAnswer: -15, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -64 - -71. Suppose -6*k + p*k + 32 = 0. Let x = k + 52. Solve -x = 4*m, -m = -i + 2*m + 14 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 27213 to the power of 1\/3, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.4, 1.2, 0.2, -89, 0.08, 5 in descending order.\nAnswer: 5, 1.2, 0.2, 0.08, -0.4, -89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k + 6*k - 370 = 0. Let l = -1 + 7. Suppose -k = -l*i + i. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -8\/1032165 and 16\/135.\nAnswer: 3096495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: (-3 + (10 - (3 - 0)) - 19) + (3 - 3)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*sqrt(152)*-1 - sqrt(152)) + 1*sqrt(152)*-1)\/(-6*(sqrt(80) + sqrt(80)*1)\/sqrt(10)).\nAnswer: sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1646 is divided by 22?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -809 - -789. Let r = -6 - -4. Which is the biggest value?  (a) -3\/4  (b) j  (c) r  (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1322*o - 166488 = -114930 for o.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-9 - -2)*32\/(-56). Solve -3*k - 1 = -2*z, -2*k = -2*z - r*k - 14 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 94 + 4?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 571228621?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.002 - 2.7923.\nAnswer: -2.7943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -4535 - -4530. Let b = 176 + -16367\/93. Let s = b - -86\/651. What is the nearest to 1\/8 in t, 2, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -25928, -25926, -25922, -25916, -25908?\nAnswer: -25898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-9)\/(-6))\/((-15)\/(-4))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 3 + (1 - 1 - -1). Suppose 5 = -24*g + 29*g. Let c(h) = 6*h**3 - 2*h - 4. Let z(u) = -u**3 + u + 1. Determine g*c(j) + t*z(j).\nAnswer: 2*j**3 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*v - 3*v + 3*v**4 + (-6*v + 0*v + v)*(v**3 + 1 - 1) to o*v + b*v**3 + m*v**2 + u + f*v**4 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 214 + -132. Let w = l - 81.949. What is w rounded to two dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 12.065 to 0 decimal places.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 97 + -28. What is the remainder when g is divided by 19?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.08 and -2190.\nAnswer: 175.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = 3*w**2 + 10*w. Let h(v) be the third derivative of v**5\/60 + 69*v**2. Let p(z) = -4*h(z) + m(z). What is p(8)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Round -0.28098837 to 1 dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((81\/(-5))\/3)\/(1404000\/(-10920000))?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify o**(-4\/5)*(o*o**(-8))\/o assuming o is positive.\nAnswer: o**(-44\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1367812585 - -1367812575.71000409. Let j = m + 9.29. Round j to six dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -62 - -66. Sort 1, d, -5 in decreasing order.\nAnswer: d, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = -51*k - 144. Let i be y(-3). Solve i*h = 16*h + 35 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/4?  (a) 1  (b) 4  (c) -1226  (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 3851 less than -11?\nAnswer: -3862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -1098, -1034, -934, -804, -650, -478?\n\"Answer: -i**3 + 24*i**2 - i - 1120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 219329 and 1.467?\nAnswer: 321755.643","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3797?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 540, 2 in increasing order.\nAnswer: -4, 2, 540","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = 5*z + 4. Let x(t) be the third derivative of -t**4\/6 - t**3\/2 + 4*t**2. Give 3*m(y) + 4*x(y).\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*y**2 + 2*y**2 - 2*y**2 + (-y - 2*y + 4*y)*(0*y + 0*y - y))*(5*y**3 + 15*y**3 - 5*y**3 + (2*y**3 - 3*y**3 + 5*y**3)*(-1 + 1 - 4)).\nAnswer: -y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) be the third derivative of f**6\/80 - f**5\/40 - f**4\/4 + f**3 + 214*f**2. Factor c(r).\nAnswer: 3*(r - 2)*(r - 1)*(r + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*((-2 + sqrt(117))*4 - 3*(0 + sqrt(468))).\nAnswer: -6*sqrt(13) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is (-113950)\/7525 + ((-26)\/(-12))\/(1\/6)?\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 5, -5, -1 in decreasing order.\nAnswer: 5, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) be the first derivative of -c**3\/3 - 3*c**2 + 3*c - 1. Let o be s(-6). Is 8\/(-12) + 1673\/o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = -u**3 - 73*u**2 - 338*u + 8. What is w(-5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -101, -4, 2, -5 in descending order.\nAnswer: 2, -4, -5, -101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {g: 1, q: 11}. Give prob of picking 3 q and 1 g.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-12)\/388)\/((-6)\/(-4)). Suppose l - k = 2, 2*l + 9*k = 3*l - 10. Is l >= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -43 - 1 - (12 - (-4 - (4 - 17))).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 615809?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -13 + 12.73. Let h = -0.22 - l. Let d = h + -7.55. What is d rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in three fifths of a meter?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = -t**2 + 26*t - 9. What is l(26)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 122463973\/70060 + 441\/7006. Let c = -8716\/5 + i. What is the common denominator of c and 71\/58?\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 63951 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zjdbdzjqbzbjda. What is prob of sequence dza?\nAnswer: 3\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o\/(o*o**(-18)*o))**37\/(o**(1\/27)\/o*o*o\/o**(-11\/2)*o*o) assuming o is positive.\nAnswer: o**(33505\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1022, -1025, -1030, -1037, -1046?\nAnswer: -1057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) be the first derivative of q**4\/4 + 19*q**3\/3 + 17*q + 868. Give h(-19).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-m - 9 + 9)*(-1 + 0*m + m + 0*m).\nAnswer: -m**2 + m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-161)\/483)\/(2\/(-6)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 702 and 132626598.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -m**2 - 179*m**3 - 28 - 30 + 58.\nAnswer: -179*m**3 - m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 398 is divided by 46\/2 + (-6 - -4) + -2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -67\/254 and -51\/11?\nAnswer: 2794","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = -28*o. Let m(j) = 2574*j. Determine z(m(y)).\nAnswer: -72072*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.26, -1, -5, 4, 12988, -3?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 138770.951 - 138827. Let b = o - -56. Let q = -0.0385 - b. What is q rounded to 3 decimal places?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = r**2 + 7*r. Let y be f(-8). Suppose 3*m - y = -2*m + 4*s, m - 4*s = -8. Factor 0 - 4\/9*t - 8\/9*t**3 + 14\/9*t**2 - 8\/9*t**m.\nAnswer: -2*t*(t + 2)*(2*t - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -13.611461 or -21?\nAnswer: -13.611461","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.1369 - -0.2431. Which is the third biggest value?  (a) k  (b) 2\/9  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -543*n**3 - 14452*n**2 + 40671194 wrt n.\nAnswer: -1629*n**2 - 28904*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 387\/(-43) + 48\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 705743 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2\/12*2 - (-272)\/612*18\/12.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:42 PM and 4:49 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*l**3 + 125*l**2 + 265*l + 135.\nAnswer: -5*(l - 27)*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 17653, 17613, 17567, 17509, 17433, 17333?\n\"Answer: -b**3 + 3*b**2 - 42*b + 17693","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3*(-4)\/(-54) - 310\/(-180).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.3849 - 0.771.\nAnswer: -1.1559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30519*l + 30503*l + 349488 = 0. List the prime factors of l.\nAnswer: 3, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) be the first derivative of -3*h**4\/4 + h**2\/2 - h + 1. Suppose 5*a - 6 = 4*w, -5*w + 3*a - 1 = -0*a. What is l(w)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = -4*w + 2*w. Let y = w + 1. Which is smaller: 4\/3 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*z + 2*m + 28, 113*z - 116*z + 5*m + 32 = 0. Solve -2*h = -z*h - 5*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-8*t**3 + 3*t**3 + 0*t**3)*(89 + 0*t - 87 + 7*t) as o*t**3 + y*t**4 + m + h*t + d*t**2 and give y.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (48\/(-45))\/((5984\/(-1020))\/88).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1332 and 8695629.\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = 1. Suppose 5*l + 0*h - 3*h = 13, -24 = -4*l - h. Let y(f) = -f**3 - 6*f**2 - f + 1. Let r(b) = l*p(b) + y(b). Calculate r(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1740139 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z + 2*o - 2 = 0, 0 = -5*z - 4*o - 0 + 18. Let r = 77.4 + -90. Let y = r - -10.6. Which is the biggest value?  (a) -2\/3  (b) y  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = m**2 + 13*m - 1. Let p(t) = 153*t**2 - 71*t - 43. Let q(w) = -2*a(w) - p(w). Let y(b) = 7*b**2 - 2*b - 2. What is 2*q(v) + 45*y(v)?\nAnswer: 5*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -d**3 + 6*d**2 - 2*d - 2. Suppose -2*l + 248 = -0. Let t be (-2)\/12 + l\/24. Let f be u(t). Solve -f = 4*c - 5 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:01 PM and 3:29 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve w + m = 7, m - 19 = -3*w - 8 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 186 + -120. Let k = -18 + h. Is 7 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7045180763 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -17*f + 112*f + 147 + 48*f - 2*f wrt f.\nAnswer: 141","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 1, v: 1, f: 1, n: 2}. What is prob of sequence mv?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4546?\nAnswer: 2, 2273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1544697 + 1544700.999995. Let i = -20 - -16. Let o = k + i. Round o to six decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5 + 4 + 5 + (10 - 5).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = 4 + 5*j**2 + 13 + 5*j - j**3 - 9. Let v be r(6). Solve 3*c - 5 = 5*d, -1 - 1 = v*d - 4*c for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 3 - 3)*(-r + 2*r + r)*(-2*r**2 + r - r) + 2*r**3 - 2*r**3 - r**3 + (0 + 0 - r)*(-6*r**2 + 2*r**2 + 2*r**2) - 3*r**3 + 3*r**3 + 4*r**3.\nAnswer: 25*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -271.0709926 + 271.036. Let t = 0.035 + p. Round t to 6 decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u - 3*n = 211, -5*u - n = -5*n + 516. Let q = 111 + u. Suppose 0 = -q*k - 4*k + 13*k. Solve -2*t + 4*i = -k*i + 16, i - 5 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d - 5*n - 67 = 0, -4*n = 5*d - 153 + 35. Let m be 342\/117 + 2\/d. Solve 0*g + 12 = -g - m*s, 5*g - 5*s = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-2)\/7 + (-36)\/(-28). Let l = -37 - -29. Let w be l\/(-4) - 12200002\/p. What is w rounded to the nearest 1000000?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = h**3 - 9*h**2 - 7*h - 28. Let w be o(10). Suppose -7*d + w*d = -2*k - 17, 5*k + 5 = 5*d. Solve 3*g = d*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r - 332 = -2*t, -4*t + 2*r + 271 = -363. Calculate the highest common factor of t and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p + 2*p - 33 = 0. Suppose -60 + p = -j - 5*m, m = 3*j - 163. Suppose -v - v + j = 4*z, -z = 5*v - 162. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence po when two letters picked without replacement from coppc?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7734?\nAnswer: 2, 3, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 11551898 and 15090.\nAnswer: 173278470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1287 + -1282. Put j, -11, 4 in descending order.\nAnswer: j, 4, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence is when two letters picked without replacement from zryrsryisrriyysyrr?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 36 a factor of 373290?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 305 minutes before 7:41 PM?\nAnswer: 2:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor -b**2\/6 - 82*b\/3 - 350.\nAnswer: -(b + 14)*(b + 150)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -31 - -2.52214935.\nAnswer: -28.47785065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25*l = 561 + 539. What is the remainder when l is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1110 + -100?\nAnswer: -10010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -4708 or -1\/5?\nAnswer: -4708","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -1024352 divided by -146336\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3 by 9555.\nAnswer: -1\/3185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:02 AM and 3:19 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -1*13*990\/(-225)*20\/52\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -28 + 71. Suppose -2*p - u = -16, -3*u = 3*p - f + 16. Find the second derivative of 3*s**4 + 4*s + p*s + 4*s**4 - 6*s wrt s.\nAnswer: 84*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*sqrt(1700)*-3 + 1 + -4 - -1*4*(0 + sqrt(1700) + -1))**2.\nAnswer: 1540*sqrt(17) + 205749","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = 4*o**2 + 90*o - 40. Give q(-23).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = -4*b - 3. Let d = 278 + -272. Let q(l) = -3*l - 3. Give d*q(o) - 5*m(o).\nAnswer: 2*o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -5810942.8 + 5810942.00000154. Let g = -99 + 99.8. Let c = g + b. What is c rounded to seven dps?\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*u - o = -2*u + 18, 0 = 3*o + 6. Does 12 divide 16*-6*u\/16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -163, -11, -1\/4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 189020520.\nAnswer: 2, 3, 5, 13, 13463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 divided by 7169.\nAnswer: -4\/7169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ssg. Give prob of picking 1 g and 1 s.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2)\/(-16)*1296\/((-108)\/2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = -3*t. Let z(x) be the first derivative of 169*x**2 - 6 - 23 - 80*x**2 - 88*x**2. Give z(a(d)).\nAnswer: -6*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 m and 1 v when two letters picked without replacement from {m: 5, e: 2, v: 6}.\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 3.9 + -11. Let v = -7 - d. What is the closest to v in 1, -3, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 195 minutes before 9:38 PM?\nAnswer: 6:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 160525, 321051, 481577?\nAnswer: 642103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 45428 to the nearest integer?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k + 1 = -x, x = -2*k - k - 1. Suppose -y + 2*y = 0. Sort x, -5, y in descending order.\nAnswer: y, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -9.29 and 0.\nAnswer: -9.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 15179 - 5172. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1911397 and 1129?\nAnswer: 1129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -7 - 2233?\nAnswer: -2240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) be the first derivative of k**2\/2 - 4. Let o be t(3). Suppose -1 - 29 = -o*f. Solve -f = -m - m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -1\/3 and 595\/3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: (132\/3388*22)\/(-1*12\/21)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand 445*a**3 - 5*a**5 - 445*a**3 + (-2*a**4 + 2*a**4 - 2*a**5)*(-3 + 1 + 3) + (a + a**3 - a)*(4 - a**2 - 4) - 2*a**5 + 16*a**5 - a**5.\nAnswer: 5*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 52, -65, -270, -563, -944, -1413?\n\"Answer: -44*w**2 + 15*w + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g = 9 - 54. Let k be (-158)\/(-40) - g\/(-180). Factor k + 18\/5*y - 3\/5*y**2.\nAnswer: -3*(y - 7)*(y + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*i - 185*i + 3247 = 11*i for i.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-1780)\/(-9) - (-2)\/9. Round v to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 + 11 = i. Suppose 0 = i*l - l - 10. Suppose 0 = -3*r + l*h + 26, 3*h = -4*r - h + 68. Is r even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2593?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 3820 and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -3 + 3 + -4 - -8. Suppose -112 = o - 5*o - w, -u*o = 4*w - 112. 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 b = 8 + -3. Suppose -10 + 4 = -3*z. Suppose -z*q = 5*q - 133. What is the remainder when q is divided by b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = v - 2*w - 3, 3*w + 5 = 15*v - 14*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (b - 3 + 3)*(5 - 4 + 2) + (-4*b - 21*b + b)*((3 + 0 - 5)*(-2 + 0 + 4) + 0 - 2 + 3) + 5*b - 2*b - 2*b.\nAnswer: 76*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = a - 0*a - 4*t + 15, 5 = t for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 179*m - 30 - 3192 for m.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 0.0235, 6\/43, 0.2, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26*v = 15*v + 9405. Suppose -3*n - 2*d + 319 + 179 = 0, 5*n - v = 5*d. Is 42 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j = -2*x - 3*x + 15, -5*j + 29 = 2*x. Let t = 6 - 5. What is the remainder when x is divided by t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32922 = 7*w - 4*w. Is w\/(-22) - (-20)\/110 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4245856 less than 0.109365?\nAnswer: -4245855.890635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 7191\/85 - (13\/5 - 2). Suppose -k = 9*f - 12*f. List the prime factors of f.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) be the third derivative of g**10\/50400 + g**9\/10080 - g**7\/840 - g**6\/240 - g**5\/12 - 5*g**2. Let s(v) be the third derivative of y(v). Factor s(t).\nAnswer: 3*(t - 1)*(t + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 5 + 605?\nAnswer: 612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 11 + -15. Let i = 2217 - 2171. What is the closest to 0.1 in z, 1, i?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l + 8 = 2, q + 3*l - 18 = 0. Suppose q = -2*f - 19. Let a be -4*(f\/(-8) + -2). Put 5, -1, a in increasing order.\nAnswer: -1, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 32 and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 48166036673 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: ((-3)\/(-3))\/(-4 - (0 + -3))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**1*c)**(-34)\/(c**2*c\/c**(-3\/2)) assuming c is positive.\nAnswer: c**(-145\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pnn when three letters picked without replacement from {q: 5, r: 5, p: 4, b: 3, n: 2}?\nAnswer: 4\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -0.7, -96, 0.5, -3\/8?\nAnswer: -96","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 53128071 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z = -2*u + 25, -9*u + 14 = -5*u + 2*z. Calculate the greatest common divisor of 440 and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l**2 + 127316*l - 9146016 = 0. What is l?\nAnswer: 72, 31757","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 79\/10092 and 34\/103.\nAnswer: 1039476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = -56*c + 252. Give t(5).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*r**2 - 3*r**2 + 0*r**2)*(r**2 - 2*r**2 + 2*r**2) + (1 + 1 + 0)*(2 - 2*r**4 - 2) - 6*r**2 + 6*r**2 + 2*r**4.\nAnswer: r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 3520 and 289300.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + (-2*(sqrt(35)\/(2*sqrt(245)) - ((sqrt(56) - sqrt(112)\/sqrt(2))\/sqrt(8) + -4)))**2.\nAnswer: 16*sqrt(7)\/7 + 414\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 74 - 5?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 2873712 and 197828?\nAnswer: 54600528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w - 14*w + 189 = 11*w. Suppose -k - 2*i = -23, -5*i - 64 = -2*k - 0*i. Calculate the remainder when k is divided by w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*j - 4*q - 72, -j + 5*q + 15 = 7*q. Suppose 38 = 5*i - j. Calculate the remainder when 41 is divided by i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 4*m**5 + 20*m**4 + 15368*m**2 + 61645585*m wrt m.\nAnswer: 80*m**3 + 240*m**2 + 30736","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 10504 - 9362. What is the nearest to -2\/7 in 0, -0.2, c?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 24862 - 13959. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -120\/937 - 2746684\/4685. Let f = i - -590. Factor -f + 3\/5*b**2 - 3\/5*b.\nAnswer: 3*(b - 3)*(b + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3606549 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:41 AM and 3:27 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = 3*c**2. Let w(z) = 9*z**2 - 2. What is w(u(s))?\nAnswer: 81*s**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1 - -5. Let p(f) = -2 - 6*f - f**2 + n + f. Give p(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 197 a factor of 300054839?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 25 - 6. Suppose 0 = -i - v + d, 5*i + v + 0 = 83. What is the remainder when 62 is divided by i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (114\/76*1\/(-3))\/(-14).\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -131483*o**2*r**3 - 1898*o**2*r**2 - o**2*r + 3*r**2 wrt r.\nAnswer: -788898*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -6554, -6552, -6546, -6536, -6522, -6504?\nAnswer: -6482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = 5 + 15*d**2 - 5*d - 9*d**2 - d + 24*d**2. Does 7 divide s(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -166372 + 353707 = -18*i + 2018493. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bbsbbbsbbb. What is prob of picking 2 s?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*n + 2 + 4*n - 4 + (0 + 3 - 4)*(-3*n + 0*n - 2*n) - 1 - 2*n + 1 in the form w + o*n and give o.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = r**3 + 7*r**2 - 6*r + 19. Let w be m(-8). Let c = -10 - -6. Put c, 2, w in decreasing order.\nAnswer: w, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -2 + 2.04. Let x = 0.44 - z. Let y = 0.0366 - 1.0366. Is x > y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -5  (b) -26.75197  (c) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 10\/11?  (a) -2\/13  (b) 1  (c) -51097  (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Divide -27203725 by 27203725.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Product of 2.24 and 38953.\nAnswer: 87254.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -104 + 30 + -23 + 61.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -1651194*g**3 - 3*g - 52249 wrt g.\nAnswer: -9907164*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 224458?\nAnswer: 2, 13, 89, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z\/z**(-3\/5)*z\/(z**(2\/5)*z))**(2\/139))**44 assuming z is positive.\nAnswer: z**(528\/695)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 70990*n**5 - 6894*n - 3?\nAnswer: 1419800*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*p = -1814 - 2547. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 3, 2\/11, -1, -1\/7, 31?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 + 78056\/33*(6 + 156\/8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (2\/(-24))\/((-4)\/8). Let u be (1\/12)\/((-3)\/(-8)). Suppose -8 + 28 = -4*r. What is the third biggest value in u, x, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 355 divide 458695?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from qmommmbqmbmm. What is prob of picking 2 m and 2 q?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qm when two letters picked without replacement from qqumvyqmum.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 108\/20 - 10\/25.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*d + 978 - 298. Let u be (-2 - d\/16)*4. Let j = u - 47. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = j - 16. Let k(d) be the third derivative of -d**4\/8 + 21*d**3\/2 + d**2 + 31*d. Let v(o) be the first derivative of k(o). What is -4*r(i) + 22*v(i)?\nAnswer: -4*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = r + 1. Suppose 5*b = -2*w + 57, 8*b + 62 = 2*w + 12*b. Suppose 4*y - 45 + w = 0. Determine q(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -31192, -62431, -93670, -124909, -156148?\n\"Answer: -31239*b + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -25132000 to the nearest one million.\nAnswer: -25000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 5045.629ns?\nAnswer: 0.000005045629","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1986 + -1986.000002918. Round k to seven dps.\nAnswer: -0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-5*sqrt(77)*1)\/(sqrt(88)\/sqrt(2))*-3)**2.\nAnswer: 1575\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 123727956 and 649.\nAnswer: 649","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(-2 + (sqrt(16)\/(-5*sqrt(128)))**2).\nAnswer: 399\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m**(-6)*m*m*(m\/(m*m**(-2\/23)\/m))\/m*((m*m*m*m**(-2\/3)*m)\/m)**(-39) assuming m is positive.\nAnswer: m**(-2183\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x - 3*v + 33 = -2*v, x - 2*v - 9 = 0. What is the highest common divisor of 45 and x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 59 + -57. Let s = 2 + 2. Let l = -3 + 2. Which is the nearest to l?  (a) w  (b) 1\/4  (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 6 - 3. Let i(o) = -6*o**3 - 4*o - 3. Let q(u) = -6*u**3 - 3*u - 4. Let b(v) = k*q(v) - 4*i(v). Find the second derivative of b(n) wrt n.\nAnswer: 36*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = -2*j - 7. Suppose 3*c - 7*c + 16 = 0. Suppose c*v + 28 = -2*g - 0*g, 0 = 4*g - 2*v + 36. List the prime factors of l(g).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hhmhnhmmmnhmhh. What is prob of sequence mn?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 4 - 3.8. Let f = -173\/6 + 3517\/120. Let s = 7\/8 - f. What is the nearest to s in -1\/2, d, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*s + 6 - 3 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -580 + 909. Differentiate -18*a**3 + 0*a**2 + 0*a**2 - a - p - a + 34 wrt a.\nAnswer: -54*a**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -49\/429 and 113\/302874?\nAnswer: 302874","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.28 + 0.02. Suppose -157 = -6*z + 5*h - 173, 4*z + h = -2. Which is the closest to -0.1?  (a) z  (b) v  (c) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -8*k**3\/7 + 5364*k**2\/7 + 35232*k\/7 - 2708 = 0. What is k?\nAnswer: -7, 1\/2, 677","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort 18, -2, 242, -5 in descending order.\nAnswer: 242, 18, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = j**2 + 7*j - 6. Suppose -5*w - 90 = -5*m, 4*w - 48 = -2*m + 3*w. Let l = 36 - 4. Suppose m*a - 18*a = -l. Calculate n(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find b such that -2\/21*b**3 - 304\/21*b - 256\/21 - 50\/21*b**2 = 0.\nAnswer: -16, -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -1996693 + 4?\nAnswer: -1996689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-66)\/88)\/(28\/16 + 0). Put 2\/7, s, 69, -3 in ascending order.\nAnswer: -3, s, 2\/7, 69","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -5 - -1. Let q = x + 8. Suppose 0 = f + 2*y + 3*y - 19, -4*y + 28 = q*f. Solve -z + f*t = 3*z - 36, 0 = -5*z - 2*t + 10 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k = -3*k - 2. Find the first derivative of -5*x + 8*x + k + 0*x wrt x.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -1\/20, 3\/5, -3 in descending order.\nAnswer: 3\/5, -1\/20, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-74)\/(-6) + 4\/(-12). Suppose -5*x + 2*x = -c. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*sqrt(85) - sqrt(85))*-5 + 3*sqrt(85)*-6)\/(-4*(sqrt(125) - ((sqrt(125) - (sqrt(125) - (-2*sqrt(125) - sqrt(125)))) + sqrt(125)))*4).\nAnswer: 23*sqrt(17)\/240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Product of -3.7 and 3.\nAnswer: -11.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) be the first derivative of -i**5\/60 + i**3\/18 + 3*i - 3. Let l(y) be the first derivative of s(y). Factor l(z).\nAnswer: -z*(z - 1)*(z + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*z + 3*z + z)*(1771*z - 907*z + 47*z**2 - 867*z).\nAnswer: 188*z**3 - 12*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t + 128 = 2*o, -t - 234 = -4*o + 4*t. What is the remainder when o is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {r: 4, z: 8, o: 1}. Give prob of picking 4 r.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 202322020222 (base 4) to base 9\nAnswer: 18186747","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = v + 0*v + v. Let q(p) = 10*p. Calculate q(l(b)).\nAnswer: 20*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -205370 - -205412. What is the remainder when w is divided by ((-4)\/10)\/((-1)\/15)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = u**2 + 3. Let o(c) = -c**3 - 8*c**2 - 14. Let j(i) = -o(i) - 4*t(i). Suppose 0 = -l + 5*a + 2, -l + 7 = -3*l - a. Give j(l).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 21587 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -233*r + 215*r + 27*r - 181*r - 123*r.\nAnswer: -295*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = 88*g**3 + 266*g**2 - 37*g - 177. What is z(-3)?\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 24 in 0.5, -0.05, -0.21?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5203082 + 5201882 = 50*v for v.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = y - y - y + 0. Let k be g(4). Let f be (-144)\/90*(-3)\/8 + 2\/10. Which is the second biggest value?  (a) -1  (b) k  (c) 2  (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r = 37*l - 36*l - 13791, -3*r + 9 = 0. Is l a multiple of 107?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -q - 50*b + 46*b + 5 = -2*q + 2*q, 4*b - 2 = 2*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = m**3 - 77*m**2 - 74*m - 307. Give p(78).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = 27*c - 3. Let z be j(-4). Let n = z - -50. Let d = -48 - n. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 18358 + -10076. What is the hundreds digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*x - 5*x - 12, 0 = 2*b + x - 4. Let w(m) be the first derivative of m**2\/2 - 2*m - 1. Let t be w(b). Solve t*y + 9 = o, -y - 8 = 5*o + 2 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 26 - 53. Let t(d) = d**2 + 1184*d - 4744. Let p be t(4). Find the common denominator of -67\/82 and -5 + p - 69\/q.\nAnswer: 738","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -26*q + 28*q + 7 = -5*a, -3*a = 4*q + 21 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = -2*p + 2. Let j = 21 - 26. Suppose 42 = -57*f + 59*f. Calculate the remainder when f is divided by x(j).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.13 in -48\/221, -2\/13, 0.1, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x + m - 1 = -11, 3*m = -4*x - 11. Let l(k) = k**2 - 11 + 0*k - x + 3 - k. Is l(7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 25510 + -25396. Calculate the least common multiple of 1824 and a.\nAnswer: 1824","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 46414 - 46414 - 68*p.\nAnswer: -68*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4 + 2 - 62271*d**2 - 6.\nAnswer: -62271*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert -25079 (base 10) to base 14.\nAnswer: -91d5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: (1 - 0) + 4 + -2 + 1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 680 and 884?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.04 in -1, -2\/3, 24?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 62929 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) be the second derivative of -2*z**3\/3 + 39*z**2 - 45*z. Let n be l(19). Suppose 0*c - 2*c + 136 = 2*x, 4*x = n*c - 106. Is 9 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from nblnvmvm. Give prob of picking 1 m, 1 v, and 1 b.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 81 divide 542965185?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 584 and 146.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 290535 and 95.\nAnswer: 5520165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*s - 15925 = -10*s. Suppose 4*n - 4153 = -s. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*((-2 + (2*sqrt(875))\/sqrt(5) - (sqrt(21)\/(sqrt(6)\/sqrt(2)) + 2 + 1 + sqrt(7) + 3))**2 + 4).\nAnswer: -516 + 128*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = 46*l**2 + 3*l - 4. Let x be u(6). Suppose -6*f + 280 = -x. Suppose -5*i + 35 = -f. Is i a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -12683.9 - -12683.89940219. Round s to 6 decimal places.\nAnswer: -0.000598","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 2, t: 1, c: 4, y: 1, u: 1}. What is prob of sequence ul?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 240 is divided by 48?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/4 not equal to -85698?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 6840.249 decades?\nAnswer: 68402.49","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4215 is divided by 842.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 90 divide 450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) be the first derivative of -4*n**4 + 8*n**2 - 20 + 16 + 3*n**2 + 22. Find the second derivative of g(z) wrt z.\nAnswer: -96*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = -15*z + 173. Calculate the least common multiple of 139 and g(11).\nAnswer: 1112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -236, -6529, -23926, -58079, -114640, -199261, -317594?\n\"Answer: -942*v**3 + 100*v**2 + v + 605","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l - 115 - 43 = z, 4*l = z + 134. Is 359\/(3 - z\/(-51)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*o + 4*c = 4*o + 8, 2*o - 5*c = -4. What is the remainder when 155\/10*o\/(-1) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve u - 2*x + 6 = 0, 3*x + 79 = -114*u + 110*u for u.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 271115049?\nAnswer: 3, 61, 1481503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -30.2 + 28. Let c = -2.186 - y. What is c rounded to two dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 58 + -52. Suppose -2*q - w = -d*q - 401, 4*w = q + 104. List the prime factors of 1\/(2*(-2)\/q).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 3222 + 5?\nAnswer: 3230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -3 - 1. Let h be s\/2 - (-47 + 1). Calculate the greatest common divisor of h and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 2768\/(-336) - (-7 - -1). Let t = -11\/7 - b. What is the closest to 0 in -6, t, 5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 298*i - 530*i + 3*i**2 - 17 - 43 + 289*i.\nAnswer: 3*(i - 1)*(i + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o + 4*j = -15, 5*j = -12 - 3. Does 2 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = -1364*a**2 - 662907*a - 1472. Give k(-486).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Divide -21 by -2293979.\nAnswer: 21\/2293979","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 22, 20, 8, -20, -70?\nAnswer: -148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -46733\/5 + 9346. Let v = 0.8 + -0.5. Let s = 0.8 - -0.2. Which is the closest to v?  (a) t  (b) 5  (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 426 divide 3742277?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -2807015, -5613819, -8420623?\n\"Answer: -2806804*w - 211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = -f + 4. Which is smaller: f or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 612 minutes before 7:11 PM?\nAnswer: 8:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = n + 8. Let u(z) = -z**3 - 5*z**2 - 3*z - 9. Let x be u(-5). Let f(c) = c + 9. Calculate x*f(p) - 7*i(p).\nAnswer: -p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Divide 636 by -4.\nAnswer: -159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = 2*s**2. Let q(o) = -230208*o**2. What is m(q(z))?\nAnswer: 105991446528*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 203 and 63?\nAnswer: 1827","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b - 6 + 10 = 0. Suppose -305 = -5*j + 4*q, q = -b*j + j + 200. Does 13 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 75751 and 5473?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -o + 0*o + 5 - 11*o - 5.\nAnswer: -12*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.12?  (a) 0.068  (b) 2  (c) 3  (d) 1\/203  (e) -0.4  (f) 24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -41 + 81 = 8*v. Let r(b) be the first derivative of b**4\/2 - 8*b**3\/3 - b**2 - 8*b - 4. List the prime factors of r(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 2, 2\/69, -65?\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-13)\/(-26))\/((-35)\/(-42)). Suppose -p + 3\/5*l**3 - 9\/5*l**2 + 9\/5*l = 0. What is l?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -11145788 divided by -47836.\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) be the second derivative of 13*c**4\/12 - c. Let k(s) be the second derivative of s**3\/6 + 678*s. Determine k(l(z)).\nAnswer: 13*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 13 and 12614108.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.499094 rounded to three decimal places?\nAnswer: 0.499","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 29\/5 of a gram in milligrams?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1410186 to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l**(-5\/4)*l)\/l**(-14))\/(l*(l**(1\/4)\/l)\/l)**(5\/4) assuming l is positive.\nAnswer: l**(235\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand y - y - 3*y**4 + (-y + 2 - 2)*(y**2 - y**2 + y**3) + (3*y**2 - 4*y**2 + 3*y**2)*(1 + y**2 - 1) - 5277*y**4 - 5276*y**4 - 760*y + 10550*y**4.\nAnswer: -5*y**4 - 760*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from plzzklgllkzzzkyz. What is prob of picking 1 p and 3 l?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (4*(3*-1*sqrt(153) - (sqrt(153) - (4 + -1 + sqrt(153) - sqrt(153)))))**2.\nAnswer: -1152*sqrt(17) + 39317","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 3ca6b - 7?\nAnswer: 3ca64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17*h + 10 = 44 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2847122 is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Work out -192705338 + 660.\nAnswer: -192704678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v - 1 = -16. Let p be -21*(-3)\/18*2. Let g(c) = -c**2 + 7*c. Let m be g(p). Solve h - v + 0 = m for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -836 - -6953. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*d = 25 + 15. Let g = 1.3 + -0.3. What is the nearest to g in -3, d, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x**3 + 3020256*x**2 + 193290240*x + 3092611072 = 0. What is x?\nAnswer: -1510064, -32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 15 divided by -1555308?\nAnswer: -5\/518436","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -102  (b) -5  (c) 0.3  (d) -625  (e) -33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 61\/2 of a litre in millilitres?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -29\/270 and 43\/42?\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = 4*r**2 - 1. Let h(b) be the first derivative of -b**3\/3 + 17. Determine -5*h(j) - s(j).\nAnswer: j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 11 + -10. Does 9 divide v\/(-1*4\/(-108))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z*z**(2\/5)\/z*z**(-2\/13)*z)**(-16) assuming z is positive.\nAnswer: z**(-1296\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*c - 2*b + 3*b - 20, 2*c + 4*b = 32. Let d be (-34)\/(-10) + c\/(-20). Suppose -2*m = -3*x - 80 - 25, -d*x + 255 = 4*m. Is m a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = -v**2 - 599*v - 4184. Give x(-7).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = 22057*l**2. Let w(x) = -470*x**2. Calculate w(q(m)).\nAnswer: -228660287030*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -10367, -0.3, -2, 4, 2\/11?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 246, 60, -2 in decreasing order.\nAnswer: 246, 60, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 6 - 4. Let c be -2 + 37 + 12\/(-4). Let t be (0 - -1)*c\/56. Which is greater: r or t?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 584, 672, 772, 890, 1032?\nAnswer: 1204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 1662100 times -1\nAnswer: -1662100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -299 = -56*l + 53*l + 4*j, -4*j = l - 73. Solve 4*n - l = -77 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = -13*a**2 + 57325*a - 114599. Calculate q(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 0, -61, 0.5, -1\/4 in increasing order.\nAnswer: -61, -1\/4, 0, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 30 - 55. Is t greater than or equal to -26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8 - 450 = -229*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 244 minutes before 5:15 AM?\nAnswer: 1:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = 110*o**3 + 2*o**2 + 16*o - 16. What is d(1)?\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is (34 - (-41 + (44 - -3))) + -142?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3120.\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = -n + 1. Let f = -56 + 57. Let c(w) = -w**2 - 5*w + 17. Let q(d) = f*c(d) - 5*o(d). Differentiate q(r) wrt r.\nAnswer: -2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = -65*g + 10198. Determine x(158).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 - 0.9283.\nAnswer: 4.0717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find f such that -2*f**5\/13 - 148*f**4\/13 + 1496*f**3\/13 + 148*f**2\/13 - 1494*f\/13 = 0.\nAnswer: -83, -1, 0, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:17 AM and 8:39 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 165050941 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-90)\/((-742500)\/(-350)))\/((-7)\/3).\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 1197031290 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.2 and -48340.\nAnswer: -9668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-2)\/(-6)*(-7 - (-225)\/30). What is the nearest to -7 in -3, 1, p?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.022 > 2\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(72) + sqrt(72) + sqrt(72)*1 + sqrt(72))\/sqrt(8)*1)\/((sqrt(675)*5)\/sqrt(9)))**2.\nAnswer: 48\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1251, 2501, 3751, 5001, 6251?\nAnswer: 7501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 + 12 = -3*x. Factor 2\/5*j**2 + x + 4\/5*j.\nAnswer: 2*j*(j + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from dllllllddddd. What is prob of picking 3 l?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(252) - sqrt(63))*6)\/(sqrt(63)\/(sqrt(49)\/sqrt(7))))**2.\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 0, 3, -3, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -0.3 and -3.8923284244?\nAnswer: 3.5923284244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*l - 2*l + 2*f - 10 = 0, l + 2*f - 10 = 0. Suppose 6 = -3*b - l. Calculate the common denominator of -67\/2 and (-549)\/(-63) - b\/(-7).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*q = -2*f - 2*q + 22, -5*f + 40 = 2*q. What is the greatest common factor of 4 and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:11 AM and 6:23 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1469694.251 - -1468745. Let r = -948 - g. Let o = -1.14 + r. What is o rounded to 2 dps?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z + 9 = -6. Suppose 0 = 2*l + 4*y + y - 26, -3*l = z*y - 29. Solve t + 4 = -n, -16 = 2*n - l*n + 3*t for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = -h**2 - 22*h + 10. Give m(-7).\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(-1)\/(n\/(n*n**(2\/11))))**(-9\/8) assuming n is positive.\nAnswer: n**(81\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n - 5 = -4*q + 22, -4*q + 21 = 3*n. Let z(w) = -w - 4. Calculate z(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 94, 123, 152, 181?\nAnswer: 210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-112)\/(-952) - (-19)\/(-17).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1481 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 2241009 to the power of 1\/2, to the nearest integer?\nAnswer: 1497","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = -v**3 + 7*v**2 - 6*v + 16. What is the remainder when p(6) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -1469.11 to the nearest ten.\nAnswer: -1470","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 1666, 6654, 14968, 26608, 41574, 59866?\n\"Answer: 1663*h**2 - h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5 - -0.4594894595?\nAnswer: 0.9594894595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(-8)\/(k\/(k**6\/k)))\/((k*k**(-3))\/k**(-2\/3))*((k\/(k\/(k*k**(-2\/7)))*k*k)\/(k*k*k**(1\/4)))\/(k**(-5)\/(k*k*k**7\/k)) assuming k is positive.\nAnswer: k**(907\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m + 9 = 3*d, 4*d = m + 2*m + 25. Suppose y - d*g = -6*g + 22, 0 = -3*y + 3*g + 21. Is 6 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 1826654575 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1510.\nAnswer: 2, 5, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = -4*v**3 + 197*v**2 - 73*v + 1183. Determine t(49).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*r = -15*j - 33, 50*r + 260 = 28*r - 4*j for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h*h**17\/h*h*h**(-15)\/h assuming h is positive.\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 338 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 80 divide 353653?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -d*j**6 + 8*d*j**4 - 8*d*j**2 + 3*d*j - 2*j**2 wrt j?\nAnswer: -120*d*j**3 + 192*d*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 285233708?\nAnswer: 2, 71308427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 19 - 13. Let y(z) = 4 - z**2 - 4 + 4*z + k. Let r be 2\/(-5) + 351\/65. Calculate y(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 10, y: 3, f: 1, u: 1, o: 2}. What is prob of sequence oo?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-24*(-18)\/10584)\/((-2)\/14)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 159007*s**2*t - 15*s**2 + 7*s - 20 wrt t.\nAnswer: 159007*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = -2*o - 11. Let y be z(-11). Suppose -128 - 114 = -11*q. Let l = q - y. Is 4 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -12 - 0. Let b = -2 - t. What is the least common multiple of b and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -3, -0.4, -23.\nAnswer: -23, -3, -2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 3487, 6958, 10429, 13900, 17371?\n\"Answer: 3471*d + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -340204 (base 6) to base 12.\nAnswer: -14664","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 154842*l**5 + 7456*l - 52.\nAnswer: 3096840*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = -l**2 - 5*l + 18. Let m be (-1)\/(-2) + 533\/(-26). Let x be (28\/m)\/((-3)\/(-15)). Let o be j(x). Solve -o*u = u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 85295 and 14622.\nAnswer: 511770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from xxxgy. What is prob of picking 1 y, 2 x, and 1 g?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hhfgfohooofeohhgeh. Give prob of sequence geg.\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 109113 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1668 - 1670. Which is the smallest value?  (a) 0  (b) w  (c) 3  (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor d**4\/3 - 5*d**3 + 12*d**2 + 4*d\/3 - 16.\nAnswer: (d - 12)*(d - 2)**2*(d + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*s - 1279 - 4196. What is the tens digit of (-1 + (-1)\/5)\/((-10)\/s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 9\/(-6)*(-4)\/3. Find the second derivative of 2*x**2 + 14*x**5 + 24*x - 12*x - 2*x**d wrt x.\nAnswer: 280*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20*p = -3*v - 23*p - 48, 0 = 5*v - 4*p + 44. Let w be (39\/(-2))\/(3\/6). Let y = v - w. What is the smallest common multiple of y and 9?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = k**2 - 2*k - 3. Let n be w(-2). Suppose -3*y = -0*y - 18. Suppose -2*d + n*d = 0, 2*f - d = y. Calculate the least common multiple of f and 7.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2 + 2. Suppose 0 = h - 4*o - 6, 0*h - 2*h + 4*o = l. Let z = h - -15. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.10383 - -19873?\nAnswer: 19871.89617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put -9, 10244, -0.2 in ascending order.\nAnswer: -9, -0.2, 10244","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 9.00353ml in litres?\nAnswer: 0.00900353","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 4807 and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 5.317393um?\nAnswer: 0.000005317393","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3337847 + 4*h**2 + 3337847.\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 4 in -669, 0.5, -80103?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*w + 0*w + w**2 + 0*w + (0*w + 4*w - w)*(-7 + 7 - 4*w)*(-5 - 4 + 10) as k*w + c*w**2 + u and give c.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s = 3*w - 422 - 2143, -3*s = 5*w - 4269. Suppose -3*b + 6*b + w = 0. Is -3 - -6 - b*1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0 + 0.8. Let g = s - 0.5. Let a = -23\/2 - -12. Which is smaller: g or a?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((h*h**(-1\/5))**(16\/3))**(1\/20))**4)**25 assuming h is positive.\nAnswer: h**(64\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 979235 and 34730?\nAnswer: 755","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 - 8 = -5*y. Differentiate 2 - 4 + 1 + y - 3*c**2 with respect to c.\nAnswer: -6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1767517 to the nearest integer?\nAnswer: 1329","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 210 a factor of 65249?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -0.05 + 30354219\nAnswer: 30354218.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -597 + 599. Which is the second smallest value?  (a) 0.2  (b) s  (c) -6\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 72.644427 plus 4?\nAnswer: 76.644427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 19 - 19. What is the biggest value in -4\/5, 0.2, v, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (4*g + g**3 - 4*g)*(g - g - g) + (2*g - 2*g + 2*g**2)*(-6 + 6 + 5*g**2) as l*g**3 + y*g + o + t*g**4 + j*g**2 and give t.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find x, given that 3*x**3\/8 + 69*x**2\/8 - 123*x\/4 - 39 = 0.\nAnswer: -26, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) be the second derivative of b**6\/6 + 13*b**2\/2 + 7*b. Differentiate x(d) with respect to d.\nAnswer: 20*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -f + 3*f - 3*f + (6*f - 2*f - 2*f)*(-20 - 77 + 19) in the form z*f + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + 5*(2 + sqrt(19))**2.\nAnswer: 20*sqrt(19) + 120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -5501 - -10664. List the prime factors of p.\nAnswer: 3, 1721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -63*o + 131*o - 16 - 8.\nAnswer: 68*o - 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 23.2 + -23.0013. Let o = g - 0.223. What is o rounded to three dps?\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-1)\/(-1) + -2*2. Let d(n) = 2*n + 6. Let p be d(-4). Let r(q) = q + 1. Let i be r(p). Which is smaller: i or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -25033984, -50067967, -75101950, -100135933, -125169916, -150203899?\nAnswer: -175237882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from issssisssissssss. What is prob of picking 3 s?\nAnswer: 143\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 212122210 (base 3) in base 14?\nAnswer: 63dd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -6595 - -6601. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 99 a factor of 638649?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = p + 3. Let j be x(0). Suppose -j*t + 6 = -3. Which is the biggest value?  (a) -0.9  (b) t  (c) 2\/19  (d) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -16987*j - 6495*j + 2675*j as a + c*j and give c.\nAnswer: -20807","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) be the third derivative of -i**5\/30 + 19*i**4\/12 + 14*i**3\/3 + 192*i**2. What is d(20)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 14882\/17 or 875?\nAnswer: 875","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) be the third derivative of -7*k**4\/24 + k**3 + 11*k**2. Let f be w(-4). Solve -3*m - 2*x + 7*x = f, 14 = 2*m + 4*x for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 282 and 16262?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 5\/62 - -8\/93. Let d(p) be the second derivative of -6*p + 1\/48*p**4 + 0 + x*p**3 + 1\/2*p**2. Factor d(j).\nAnswer: (j + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 147, 142, 137, 132, 127, 122?\nAnswer: 117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6*52.\nAnswer: -312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1524 - -1644. Calculate the smallest common multiple of w and 40.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 8, -2.4, 9.49, -5, 575.\nAnswer: -5, -2.4, 8, 9.49, 575","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 21 - -95?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - f - 4 + 0)*(-3 + 3 + 1).\nAnswer: -f - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = 9*j**2 + 1816*j - 400. What is t(-202)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-8*10\/950*35\/(-14))\/(-2).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 9355 and 11.6?\nAnswer: 9343.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.3 and 1196475.\nAnswer: 358942.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -10 - 21101?\nAnswer: -21111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = 90*c**2 - c - 1. Let k be m(-1). Suppose -10*s + 1691 = -29*s. Let g = s + k. What is the remainder when 5 is divided by g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -3 + -50b55?\nAnswer: -50b58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 r when four letters picked without replacement from {s: 2, w: 2, h: 4, r: 4}?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g - 10 = -35. Let d = 84 - 59. Suppose 0 + d = g*f. Calculate the smallest common multiple of f and 14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 20?  (a) -4  (b) 3  (c) -2  (d) -3\/28  (e) -186  (f) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*n**2 + 13*n + 0*n + 4*n**2)*(9*n - 5*n + 3*n) in the form o*n**3 + g*n**2 + s + h*n and give g.\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*t + 11*t + 4*t as y*t + o and give y.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = -2*q**3 + 5*q**2 + 6*q - 9. Let f be t(3). Which is greater: f or -1\/1985?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 611 minutes before 1:18 PM?\nAnswer: 3:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 177d6 + -143?\nAnswer: 17693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -18?  (a) 34  (b) -2  (c) -0.2  (d) -2\/17  (e) -0.444  (f) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 8.555 rounded to zero dps?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is -28446100 < -28446105?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 32*a**3 - 117*a**3 - 132*a**3.\nAnswer: -217*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = 2*t**2 + 11*t - 1. Let n be q(-7). What are the prime factors of -565*-3*4\/n?\nAnswer: 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 612.09 times 2386?\nAnswer: 1460446.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is nine sixteenths of a hour in seconds?\nAnswer: 2025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = -r**2 + 3*r + 4. Suppose 3*t - 6*t + 9 = 0. What are the prime factors of y(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -1\/4*k**3 + 0 + 49\/4*k - 12*k**2.\nAnswer: -k*(k - 1)*(k + 49)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*o - 12*o = 21 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1287183008?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x - 69 + 29 = 0. Let i(v) = 0*v**2 + 4*v**2 - 3*v + 0*v**2. Let s = -5 + 8. Let j(u) = -11*u**2 + 8*u. Give s*j(o) + x*i(o).\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-9)\/(675\/100)*12.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.25, 2\/13, 0.5?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 17045, 34091, 51127, 68147, 85145, 102115?\n\"Answer: -n**3 + n**2 + 17050*n - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1169\/3 - -11759\/30. Find the common denominator of -67\/4 and v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) be the first derivative of r**6\/39 - 4*r**5\/65 - 2*r**4\/13 + 4*r**3\/39 + 3*r**2\/13 - 79. Let l(f) = 0. What is f?\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 768.3452 centuries?\nAnswer: 922014.24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -6?  (a) -2\/3  (b) 1\/5  (c) -3  (d) -5  (e) 3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) be the first derivative of -129 - 7\/3*h**3 + 1\/4*h**4 - 12*h + 9\/2*h**2. Determine u(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 169, 106, 41, -26, -95, -166?\n\"Answer: -r**2 - 60*r + 230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 681*z**5 - 3*z**4 + 10*z**3 - z**2 - 182*z - 41 wrt z.\nAnswer: 40860*z**2 - 72*z + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.865352388 to two decimal places.\nAnswer: -0.87","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x = -0*y - 4*y + 27, y = -x + 5. Suppose -2*g = -6, y*h - 3*h = -3*g + 1182. What is h rounded to the nearest 10?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: (4 - (-2 - -4))\/(-1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((72\/(-30))\/(-2))\/(6\/20). Solve 0*q + y*q = 3*n - 15, -n + 5 = 2*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 1558\/14 + 16\/(-56). Let f = l + -775\/7. Calculate the common denominator of (46\/(-18) - 33\/(-99)) + 16\/72 and f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -14229 (base 13) in base 14?\nAnswer: -da66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = -391*j**2. Let g(v) = 2*v - 2. Let n(q) = 6*q - 5. Let u(m) = -5*g(m) + 2*n(m). What is h(u(c))?\nAnswer: -1564*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (18 + 3 - 38) + -6 + -1?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 23.6748 or 871?\nAnswer: 23.6748","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (41 - 38) + 2\/(-2). Solve 16\/5*v - 2\/5 - 32\/5*v**k = 0.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4650*g + 4602*g + 240 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a + 21 - 41 = 0. Suppose -2*n - 2*u + 1324 = 2*n, a*n = 4*u + 1681. What are the prime factors of n?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2550*u + 2549*u - 9 = a, 30 = -2*a - 5*u for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 317394*x**2 - 86*x**3 + 66*x**3 - 317394*x**2.\nAnswer: -20*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 1, j: 1, k: 2, q: 1, f: 2, d: 2}. Give prob of picking 1 k, 1 j, and 1 d.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3 + 491*m - 3 - 297*m - 201*m.\nAnswer: -7*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24*s + 29*s - 8 = -r, 2*s = 5*r + 41. Which is the nearest to 1\/26?  (a) -0.4  (b) r  (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from fuurrruuu. What is prob of sequence uru?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 4, g: 3, m: 2, v: 1, h: 1}. Give prob of sequence mf.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**0\/t)**16\/(t\/t**(-1))**(-13) assuming t is positive.\nAnswer: t**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in three fifths of a centimeter?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -2.04 + 0.04. Let s = -485401.99 - -485402. Which is the nearest to s?  (a) p  (b) -3  (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) 1  (b) -1  (c) -0.2  (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -12 - -12. Suppose 4*d = -g*d - 112. Let k be d\/(-3 + -1) + -2. Solve 0*h = 5*h - k for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w + 101 - 7 = 0. Let u = w - -109. Solve -4*n + n - u = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -75 or -27439?\nAnswer: -75","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -59111*o**2 + 59125*o**2 - 454*o**3 + 0*o + 453*o**3 - 4*o + 4*o.\nAnswer: -o**3 + 14*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -2 + 2 + 6 - 3\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 10  (b) 2  (c) -144  (d) 1  (e) 2\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 147\/5 + -29. Let r = -2498443\/81 - -30845. What is the nearest to -1 in c, r, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3004, -4844, -6684, -8524, -10364?\nAnswer: -12204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 94420 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 345852 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 16\/(-12)*(-21)\/(-14)*80\/20?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -7.74 and -0.3.\nAnswer: 2.322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -81\/56 and (-34995)\/(-8680) - ((-1)\/1)\/((-17)\/68)?\nAnswer: 1736","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 167 is divided by 61?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*g - 9*g = -5364. Suppose -116 + g = 5*r. Is 16 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 - 1 - (-20 - -12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = n**3 + 5*n**2 - 2*n - 1. Suppose 13*s + 5 = 12*s. What is r(s)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 72 divide 65993?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 4 in 1.3, 3, 0.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -119\/10 and 29\/723.\nAnswer: 7230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -1480026 divided by 6\nAnswer: -246671","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -20  (b) 0.2  (c) -3  (d) 1.5098  (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -1 + (-192)\/(-2 + -4) + 5. Let j be ((-72)\/h)\/(1\/(-4)). Solve -j*n + 3 = -5 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = 2*n + 23. Is z(17) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q + 63 = 4*m, -13*q + 12*q = 4*m + 21. What is the tens digit of (-2)\/(-14) + (-2958)\/q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0 + 5. Let h = f - 4. Let a be ((-1)\/(-2)*-2)\/(-6). Sort 0.4, h, a.\nAnswer: a, 0.4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 37990 and 15676115?\nAnswer: 655","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*x**5 + 2*x**3 - 2*x**3)*(2 + 5 + 2) - 127*x**5 - 428*x - x**3 + 428*x.\nAnswer: -109*x**5 - x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 30.01 + -26.01. What is the nearest to -3 in -5, 74, 3, u?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-51300)\/(-3375)*(180\/(-96))\/((-6)\/(-8)).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand 152*z**4 - 299*z**4 - 4*z + 143*z**4 + (4*z**3 - 3*z + 0*z - 6*z**3)*(2*z - z - 2*z).\nAnswer: -2*z**4 + 3*z**2 - 4*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 8.7 - 5.2. What is the biggest value in w, 0, 3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*r + 6*r + 2*r)*(0 + 1 - 3) - 592 + 62*r + 592.\nAnswer: 38*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 945 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of ((-31578)\/(-285))\/(8\/(-205))*-4?\nAnswer: 41, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -172.675 rounded to the nearest 10?\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) be the third derivative of -17*r**7\/630 + r**6\/18 + 7*r**5\/90 - 5*r**4\/18 + r**3\/6 - 4400*r**2. Suppose v(f) = 0. Calculate f.\nAnswer: -1, 3\/17, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:56 AM and 12:56 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = 14*f**3 - 5*f**2 - 5*f + 5. Let g(z) be the first derivative of 21*z**4\/4 - 8*z**3\/3 - 4*z**2 + 8*z - 172. Determine 8*c(j) - 5*g(j).\nAnswer: 7*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 2 + 0)*(-1 + 3 - 1)*(-p**5 - 523*p - 102*p**4 - 144*p**4 + p**3 + 526*p).\nAnswer: p**5 + 246*p**4 - p**3 - 3*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-32782*b + 4573*b + 15794*b)*(-2 + 2 + 3).\nAnswer: -37245*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 u and 3 t when four letters picked without replacement from umtuttmttuumutummmu.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 18 - 18. Let p be (k + 3)*(-432)\/12. Let y be (1*(-3)\/6)\/(3\/p). Solve 3*f = 3*q + y, -5*f = -0*f + 4*q - 3 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = 394074*o**2. Let g(w) = 213*w**2. Calculate n(g(d)).\nAnswer: 17878743306*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*m**2 + 338348*m - 108476160.\nAnswer: 2*(m - 320)*(m + 169494)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or 94\/3806951?\nAnswer: 94\/3806951","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 52\/31422583 and -67\/15286662.\nAnswer: 565606494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.3?  (a) 2\/3  (b) -4  (c) -1\/3  (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 231 minutes after 4:19 AM?\nAnswer: 8:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -17.11505 minus -0.3?\nAnswer: -16.81505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (13\/(-4))\/(13\/2340). Let j = m - -590. Solve -2*s = -4*k - 18, 0 = -j*k - 4*s + s - 17 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = 6*t + 43. Let n be f(-6). Suppose m = 77 - n. What is the tens digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = -v + 41. List the prime factors of v.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1010100 (base 2) to base 14\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 2111220 (base 3) to base 10\nAnswer: 1833","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(450)\/sqrt(10) - (sqrt(45) + -1)**2 - (sqrt(1125) - sqrt(1125)*-1)\/sqrt(9).\nAnswer: -46 - sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = -3*a**2. Let m(y) = 6253840*y. Give m(b(x)).\nAnswer: -18761520*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -f + 3*t - 47 + 30, 2*t = -5*f + 17 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y + 44 + 36 = 0. What is the third derivative of -13*a**2 + y*a**3 + 11*a**6 - 16*a**3 + 2*a**2 wrt a?\nAnswer: 1320*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -9, -5, -3 in ascending order.\nAnswer: -9, -5, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w - 12 - 28 = -4*v, 20 = v - 4*w. Solve -2*s - 3*b + b = v, -3*s + 2*b = -2 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = 16*m**3 - m + 1. Is v(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 30 and 397540?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 28.73  (b) 1.6  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.7098856 to four dps.\nAnswer: -0.7099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -20*h*x**2*y - h*x + 2*h*y**2 - 5*x**2*y**3 + y**5 + 2*y wrt y?\nAnswer: 4*h - 30*x**2*y + 20*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (3*1)\/(21\/7). What is the second smallest value in h, -1\/10, -4\/13?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = -28028*m**3 + 13*m**2 - 20. Let s be u(-4). Suppose -y = 3*d - 2691005, 2*d = -y + 5*y + s. Round d to the nearest 100000.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6307.9271 less than 2737.6?\nAnswer: -3570.3271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -5 - -8. Put p, 172, -2\/7 in descending order.\nAnswer: 172, p, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = -v + 11. Let z be p(12). Let u = 4 - z. Solve -5*l + u*w = 7 + 3, -5*w + 30 = 5*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 d, 1 a, and 1 u when three letters picked without replacement from ddddauadauududauu?\nAnswer: 21\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Add -1.2994872 and 1.7.\nAnswer: 0.4005128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 18 - -8. Solve 0 = i + 5*g - 16, -4*i - 10 = 4*g - t for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do -360483 and -360486 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.05 in 5, 2, -0.2, -1354?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = 3*t**3 + 11*t + 15. Let b(o) = 2*o**3 + 6*o + 8. Let c(y) = -13*y - 28. Let q be c(-3). Calculate q*b(x) - 6*j(x).\nAnswer: 4*x**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 4 - 6. Let q be (3\/45)\/(2\/(-6)). Which is the biggest value?  (a) q  (b) -3\/2  (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1.6 - 1.38. Let m = h + -0.02. What is the closest to m in 0.4, 3\/5, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) be the third derivative of -1\/60*c**5 - 1\/15*c**6 + 1\/6*c**3 + 0*c + 2*c**2 + 0*c**4 + 98. Determine b(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 7, 1, 5, 4.\nAnswer: 1, 4, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3525 is divided by 488.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -177*m**6 + 11816*m**5 + 2*m**3 + m**2 + 1231453 wrt m.\nAnswer: -21240*m**3 + 708960*m**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1364 + -820. Calculate the greatest common divisor of l and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = -62*i**2 - 4*i - 1. Let m(q) = q**2 - q. Let w(f) = 6*m(f) - v(f). Let s(u) = -3*u**3 + 4*u + 2. Let c be s(-1). Is 15 a factor of w(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -6\/13  (b) 3.66  (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 24\/30*(-47)\/(9212\/840).\nAnswer: -24\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g + 20 = 2*p, -g - 5*p + 26 = 3*g. Solve 0*j = -g*j - 12 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from cttc?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -105 = -7*o - 91. Let i(a) be the third derivative of 0*a - 1\/6*a**3 - 1\/60*a**5 + 0 - 9*a**o + 1\/24*a**4. Determine i(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 1298218381 to the nearest 1000000.\nAnswer: 1298000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 39022554 to the power of 1\/3, to the nearest integer?\nAnswer: 339","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 6 in -5\/2, -8\/13, 5, -1\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: (-396)\/(-264)*12\/10*6\/(-27)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 4057000 to the nearest one hundred thousand.\nAnswer: 4100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.04?  (a) -1  (b) -34  (c) -1\/5  (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 280, 346, 470, 670, 964, 1370?\nAnswer: 1906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 154044?\nAnswer: 2, 3, 11, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*y - 150 - 32. Let m = y - 452\/3. Let k = -59 - m. Which is greater: -1.4 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = -3*r. Let g be (2*(4\/9)\/(-4))\/((-6)\/(-54)). Let u(z) = -z - 1. Let d(j) = -6*j - 5. Let q(x) = -2*d(x) + 10*u(x). What is g*q(l) - 3*s(l)?\nAnswer: 5*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 31025427?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -1050*r**3 + 86449*r**2 + 132974539*r.\nAnswer: -6300*r + 172898","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 1.4, -0.2, 14, -2?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*sqrt(1440)\/sqrt(4))\/((-2*sqrt(720))\/sqrt(10)).\nAnswer: -2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = 16*i + 77. What is the smallest common multiple of 8 and g(-4)?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is o in 4*o**5\/7 - 9512*o**4\/7 - 9516*o**3\/7 = 0?\nAnswer: -1, 0, 2379","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 17636 is divided by 36?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -6?  (a) -6\/7  (b) -5  (c) -2\/11  (d) 110  (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 g and 1 k when four letters picked without replacement from {p: 2, k: 4, g: 7}?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) be the third derivative of 5*c**2 + 0*c**3 - 1\/12*c**6 + 0*c**4 + 0 - 3\/20*c**5 + 0*c. What is the third derivative of r(v) wrt v?\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(-16\/3))**(-23)\/(o\/((o*o\/o**11)\/o))**(49\/5) assuming o is positive.\nAnswer: o**(223\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 15?  (a) 26  (b) -0.1  (c) -1  (d) -2  (e) 2597  (f) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -808, -1620, -2432, -3244, -4056, -4868?\nAnswer: -5680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7\/(-8)*2\/(-28)*-4.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 399487.\nAnswer: 11, 23, 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = -3*p + 3. Let a be l(0). Let t(n) be the second derivative of 1\/3*n**a - 1\/3*n**4 - 2*n + 0*n**2 + 0 + 1\/10*n**5. Factor t(q).\nAnswer: 2*q*(q - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 7692 and 7692?\nAnswer: 7692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 678 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = -k**3 - 10*k**2 + 42*k - 86. Give v(3).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 32*j + 431262 = 110*j. What is the hundreds digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 29.8+0.52\nAnswer: 30.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = -r**3 + 6*r**2 - 3*r. Suppose 20 = 4*o + o. Let z be 3*o*(-2)\/(-12). Calculate the remainder when m(z) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = b**2 + 18*b - 8. Let f be o(-18). Let k = f - -10. Differentiate -12 - 112*c**k + 112*c**2 - 11*c**3 with respect to c.\nAnswer: -33*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 16116, 16103, 16082, 16053, 16016, 15971?\n\"Answer: -4*y**2 - y + 16121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 3046456 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 3\/40 of a decade?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) 3  (b) 0  (c) -5  (d) -341  (e) -33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -7.88 + -0.12. Let q = d + 8.3. Let x = 13 - 18. Which is the nearest to 1?  (a) q  (b) 1\/2  (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) be the third derivative of i**5\/60 + i**4\/12 - 5*i**3\/6 + 30*i**2. Determine c(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = v**2 - 1263*v - 3805. Give d(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 - 0 - (6 - (-1 + 8))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 12014?\nAnswer: 2, 6007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Add -319 and -9.4639369.\nAnswer: -328.4639369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -15 - -19. Suppose 515 = -h*s - s. Let y = s - -194. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7.651838 weeks in minutes?\nAnswer: 77130.52704","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -1269\/38  (b) -6\/179  (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -47\/860244 and -163\/1173060.\nAnswer: 12903660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -88614*f = -88833*f + 19491 for f.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/9036 != -2412?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v - 4*w - 36 - 24 = 0, -4*v - 3*w = -60. What is the remainder when 89 is divided by v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2021749?\nAnswer: 241, 8389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 9153362891 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -185*l**2 + 63*l**2 - 159*l**2.\nAnswer: -281*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Divide -22 by -2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 132 in -3, 0.4, 1\/4, 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -626, -1\/10, -1\/4, 0.9?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 31856477 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 d(l) = l + 5. List the prime factors of d(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = y**2 - 5*y - 1. Let l(f) = 393*f**3 - 3*f**2 + 25*f - 525. Let v(i) = -5*c(i) - l(i). Differentiate v(w) wrt w.\nAnswer: -1179*w**2 - 4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = -c**3 + 7*c**2 - 4*c. Let l be b(3). Suppose -4*o + 412 = -352. Suppose o*w = 188*w + 9. Solve w*f + 3*p + l = 0, f - 3*f - 4*p = 22 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*r + 4*v - 36, 0 = 4*v + 12 + 4. Let o = -2 - r. Let y be (-74)\/(-9)*12 - 2\/(-6). What is the highest common divisor of y and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -2523 - 409?\nAnswer: -2931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 132400324034 - 0?\nAnswer: 132400324034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 59014809?\nAnswer: 3, 7, 59, 15877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 4*1 - (-6 + 6). Suppose j = 2*y + 2. What is the highest common factor of 8 and y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k**(-6)*k)\/k)\/k*k**9*k**(-2\/13)*k*k*k*k**7 assuming k is positive.\nAnswer: k**(154\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mz when two letters picked without replacement from vzmvziv?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*k - 4*q - 1118, -5*k + 5*q = -8*k + 1154. Is 36 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-1 - -3)*27\/6. Let k = 225 - o. Is 6 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10*t**2 - 879609460 + 879609460.\nAnswer: -10*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 457 divide 1499417?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -454985 + 1126988.\nAnswer: 672003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -723, -1518, -2327, -3156, -4011, -4898, -5823, -6792?\n\"Answer: -k**3 - k**2 - 785*k + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*y - 293 + 83. Let g be (100\/y)\/((-2)\/3). Let v(z) = z**2 + z - 5. Let t be v(g). What is the greatest common factor of 5 and t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 4 - 4. Suppose f = 2*g - g - 2. Suppose -g*a - 5 = -7*a. Is -2\/7 bigger than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = 4*r**2. Let i(z) = 3*z + 2*z + z - 8*z. Give i(p(k)).\nAnswer: -8*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-5 - -2) + (17 - 1). Suppose 3*j - 3*k = -9, j + 4*k = 2*j + 18. Find the third derivative of -536*w + 11*w**j + 536*w - y*w**4 wrt w.\nAnswer: -312*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 9277112?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*a**2 - 6*a**2 - 3*a**2.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 94.599 rounded to 0 dps?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express 213 + 3*h**3 - 6806*h**2 + 6806*h**2 in the form s*h**3 + y + f*h**2 + n*h and give y.\nAnswer: 213","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in twenty-one eighths of a gram?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3)\/((-1)\/((81\/99)\/(-9))).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y = -5*t + 35, t + 1 = -y + 4. What is the units digit of (1 - 2) + y + 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -2033, -7, -206?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6 + -7 + 2 + -5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = -54*v + 609. Let c be t(11). Let p(q) be the first derivative of c*q - 3*q**2 + 1\/5*q**3 + 1. What is u in p(u) = 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine j, given that -5*j**5\/2 + 9085*j**4\/2 + 110055*j**3 + 745605*j**2 + 10935*j\/2 - 20131335\/2 = 0.\nAnswer: -9, 3, 1841","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many kilometers are there in 188754.3 nanometers?\nAnswer: 0.0000001887543","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-5 - 5) + 48 + -29?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 470 minutes after 6:44 AM?\nAnswer: 2:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2896831 to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 405?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 231.80089 rounded to one decimal place?\nAnswer: 231.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -305395 divided by -6?\nAnswer: 305395\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 3 - (-32 - (-4 - -3)). What is the second derivative of -y*k + 30*k + 0*k**2 - 6*k**2 wrt k?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kkii when four letters picked without replacement from {i: 2, k: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) be the first derivative of 203*p**3 - 2277*p - 1412. Differentiate n(w) wrt w.\nAnswer: 1218*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 120794108?\nAnswer: 2, 30198527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-16)\/(-14))\/((-2)\/(-7)). Solve -k*j + 14 = -2*n, 3*j - 7*j = -5*n - 29 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is one fifth of a week in minutes?\nAnswer: 2016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -2995, -4, 8, 0, 2 in descending order.\nAnswer: 8, 2, 0, -4, -2995","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6720 = 28*y + 2324. Is 5 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = -n**3 - 9*n**2 - 22*n - 1. Determine y(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = -x**2 - 29*x - 46. Suppose 2*g = -2*f - 32, 23 + 2 = 5*g. What are the prime factors of n(f)?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 27623881 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = 436*j**2 + 24*j + 27. Is t(11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 7, 29, 3, 2462 in increasing order.\nAnswer: 3, 7, 29, 2462","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 302979532.\nAnswer: 2, 37, 2047159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 2\/(-10) - 2\/15. Let t = 77\/3 - 373\/15. Let j = 0.1 - 0. What is the nearest to j in k, t, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -147*t**3 - 2107*t**2 + 59*t**3 - 103*t**3 - 222*t**3 wrt t.\nAnswer: -2478","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 19821189 or 19821191?\nAnswer: 19821191","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 4295709.7 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 102 divided by 2238.\nAnswer: 17\/373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 3374691461 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*q**5 + 10503*q**4 - 96*q**3 + 9317*q**2 + 36*q - 2 wrt q?\nAnswer: -120*q**2 + 252072*q - 576","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*k - 3*k = 25. Suppose -k*s = -s - 20. Let b(t) = -2*t**2 - 125*t - 67. Let n be b(-62). Sort s, n, 4 in decreasing order.\nAnswer: s, 4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = 6*c**2 + c + 2. Let z be m(-2). Let f = -23 - -73. Let k = f - z. What is the remainder when k is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = j**3 + 12*j**2 + 16*j + 51. Let f be m(-11). Let v(i) = -2*i**3 + i + 15. What is the tens digit of v(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 54832*i - 54897*i - 248 = 4*w, -2*i + 1 = 3*w for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 2\/387 - 5\/43. What is the third biggest value in 1, -2, r?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 612 minutes after 9:46 PM?\nAnswer: 7:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = f + 5*c, -11 = 5*f + c - 107. Calculate the remainder when f is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -479 - 594 - 6682*n + 1071 as b*n + x and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2141, -8472, -18991, -33698, -52593?\nAnswer: -75676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -12 - -17. Let b be (w + 33 - 1)*(1 - -218). Suppose -869 - 749 = p - 2*m, -5*p - 3*m = b. What is p rounded to the nearest one hundred?\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 1\/(3\/24*4). Let k = 19 + -8. Calculate the remainder when -1*1*(a + -33) is divided by k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -259.15 - -386.18. Round u to the nearest integer.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-1)\/(27\/6) - ((-92)\/9 - -7). Solve 4 = -m - c, g*c = 5*m + 37 - 9 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence az when two letters picked without replacement from pzuaa?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-9)\/3)\/(((-7595)\/294)\/(30\/(-54))).\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.071 - -17.621?\nAnswer: 17.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express 33 + 2932796*o - 2932795*o - o**4 + 3*o**3 - 10 as l*o**4 + d + a*o**3 + j*o + v*o**2 and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -95 + 102. Let u(h) = 3*h - 21. Let q be u(t). Suppose 5*w + q*w + 25 = 0. Let c(g) = -g**2 - 6*g + 2. Give c(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (2\/3)\/((-14)\/(-84)). Solve -8 = -4*f - q for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from twuwtwwwtutujttuu. What is prob of picking 1 w and 1 t?\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.0072 and 0.045.\nAnswer: 0.000324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5*136*36\/5760?\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 1478340560 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 18.936 - 17.2794. What is n rounded to 2 decimal places?\nAnswer: 1.66","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*t**3 + 38880*t**2 - 38885*t = 0 for t.\nAnswer: -7777, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) be the first derivative of 2*s**2 - 6*s + 48. Let l be 8 + 8\/32 - (-5)\/(-4). Let p(j) = 13*j - 19. What is l*i(q) - 2*p(q)?\nAnswer: 2*q - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -f**4 + 96*f**3 + 1420*f**2 - 9479538*f wrt f.\nAnswer: -12*f**2 + 576*f + 2840","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28*a - 24*a - 12 = 0. Suppose -a*l = -5*c - 6, -4*c + 2*l + 0 = 4. Solve c = 2*u + 1 - 3 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6437 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9 = 2*i - 7 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1323, 2553, 3783, 5013, 6243, 7473?\nAnswer: 8703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 13117 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 926?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 174062, 4, 2\/7, -0.5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (55\/10)\/(1\/6). Suppose 8 - d = -5*f. Let p(b) = -3*b - 7. Let a(i) = -4*i - 7. Let x(o) = 6*a(o) - 7*p(o). Give x(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -345900 rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 57\/2 of a century in decades?\nAnswer: 285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 4 - 25. Let d = -13 - r. Solve -4*u = -3*u - 4*y + d, 2 = -u - 2*y for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -794 and 6.\nAnswer: -788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert 827051.8m to micrometers.\nAnswer: 827051800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 101189 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 39 - 38.9. Which is the closest to 0?  (a) 0  (b) z  (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find z, given that 99*z**3\/8 - 401649*z**2\/8 - 1259826*z + 153075\/2 = 0.\nAnswer: -25, 2\/33, 4082","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Determine j, given that -4*j**2 + 115628*j + 231272 = 0.\nAnswer: -2, 28909","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in -2717, -0.5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 4, -3, -18, -7 in ascending order.\nAnswer: -18, -7, -3, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -825*g = -833*g + 14016. Is g a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 278\/25 + -8002\/225. Which is smaller: z or 2\/3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:21 PM and 3:33 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + 0 + -4 + 9 + 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = f**2 - 4*f. Let y(q) = q**2 - 4*q. Let l(x) = -3*v(x) + 2*y(x). Let a(o) = -6*o + 3*o**2 + 4*o - 7*o. Determine 4*a(c) + 9*l(c).\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 1531.2 and -3.35479504?\nAnswer: 1534.55479504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15*y - 70 = 20 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = -7*n**3 - 3*n**2 - 5. Let w(m) = -m**3 - 17*m**2 - 5. Let f be w(-17). Let i(p) = 10*p**3 + 5*p**2 + 7. Let r(d) = f*i(d) - 7*t(d). Solve r(q) = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 2c21 - -acc2?\nAnswer: db03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) be the second derivative of 13*f**4\/3 - 65*f**3\/6 - 221*f. Let t(k) = -k**2 + k. Determine -d(i) - 65*t(i).\nAnswer: 13*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1838\/545 - -3\/109. Let f = q + -16\/5. Let r = -608\/3 - -203. Sort r, f, 0.1.\nAnswer: 0.1, f, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 389.717 and -6?\nAnswer: 395.717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*o + 5*d = -3*o - 22, 3*o + 14 = -d for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-7)\/(-6) + (-6)\/9)*16. Solve 2*d - 3*h = 2 - a, 0 = -5*h for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 8, w: 5}. What is prob of picking 2 w?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 524, 525, 520, 503, 468?\n\"Answer: -b**3 + 3*b**2 - b + 523","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 679 minutes before 7:56 PM?\nAnswer: 8:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (2\/4)\/(4\/24). Suppose -3*x + 4*k - 2 = -0, n*x = -2*k + 10. What is the third derivative of -3*v**6 - 6*v**6 + 3*v**6 - x*v**2 - 4*v**2 wrt v?\nAnswer: -720*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f + 3*c = 688, -1475*c = 5*f - 1474*c - 1720. Calculate the least common multiple of 860 and f.\nAnswer: 1720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 163103 is divided by 1011.\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1356 rounded to two decimal places?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -84*b + 400*b - 225*b - 86*b.\nAnswer: 5*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 8359140\/67 = -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -17 + 50\/3. What is the second biggest value in -3\/5, -2, g?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = 2*l**2 - l - 14. Let a be k(-3). Suppose -4*x + 249 = 4*n - 5*x, -n = -2*x - 57. Calculate the highest common divisor of a and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 986858589?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Divide -7300 by -73.\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 1, 0.3, -0.4, -401824?\nAnswer: -401824","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = -l - 4. Let y be u(-9). What is the nearest to y in 0.2, -3, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = -x**3 - 11*x**2 + 33*x + 240. Determine z(-12).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 1412268231?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 + 0 + (-25 - -25) + (35 - (-6 - -52))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3*(-4)\/6*-2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-m + 0*m + 2*m)*(m**3 + 0*m**3 - 2*m**3) + (m**3 + 1 - 1)*(-2*m - m - m) + 0 + 0 + 2*m**4.\nAnswer: -3*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 24 - (-6 - ((11 - (8 + -6)) + -15))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Product of 96 and 0.07.\nAnswer: 6.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide -46*-3*3\/18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 40219225 and 75?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is -567 at most as big as 15762?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 18 and 13868289.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 44\/36 - 4\/18. Suppose -9 = -g + w. List the prime factors of g.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -33 + 35. Sort 7, -1, g, -4 in ascending order.\nAnswer: -4, -1, g, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 5*a**5 - a**3*f**3 + 7*a**2*f**3 + 2*a**2*f - 6*a*f**3 wrt a.\nAnswer: 300*a**2 - 6*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) be the first derivative of a**4\/2 - 94*a**3 + 798. Factor c(f).\nAnswer: 2*f**2*(f - 141)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.02243 rounded to 3 dps?\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 600564, 1201122, 1801680, 2402238, 3002796?\nAnswer: 3603354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = q - 5*v + 4, -4 + 16 = -3*q + v for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 22 and 1040834773.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Divide 152 by -4.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b + 4*q = 3*b + 20, 0 = 5*b - 2*q + 13. Let n be ((-256)\/(-200))\/(b*(-6)\/45). Factor -14*d**2 + n*d - 8\/5.\nAnswer: -2*(5*d - 2)*(7*d - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 72?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 11603246329 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + (-1 + sqrt(125) + 4 + (-1 + sqrt(125) - sqrt(125))*-4 + sqrt(125))*-1 + 1 + (1 + sqrt(125))*6*2)**2.\nAnswer: 1000*sqrt(5) + 12600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(13) - sqrt(39)\/(sqrt(9)\/sqrt(3))) + 4 + sqrt(208) - (sqrt(13)*-2 + 4)*-5.\nAnswer: -6*sqrt(13) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*a**5 - 24*a**4 + 96*a**3 + 726*a**2 - 861*a - 1470 = 0. What is a?\nAnswer: -7, -1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 51 minutes after 8:29 AM?\nAnswer: 9:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*t - 5 - 145. Suppose 5*y = 3*b + 30, -2*y - 7 + t = b. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = 4*r + 5. Let i be f(6). What is the common denominator of -37\/7 and (-6)\/(-15) - i\/(-40)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.11113086 to three dps.\nAnswer: -0.111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 615 is divided by 23?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(-1\/8))**(-25) assuming t is positive.\nAnswer: t**(25\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put 1170, -10\/11, 9, 0.3 in ascending order.\nAnswer: -10\/11, 0.3, 9, 1170","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = 8*b - 61. Let j be v(14). Differentiate -47*t + j - 14*t**3 - 21*t**3 + 47*t with respect to t.\nAnswer: -105*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 4619 and 142593.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 314\/6*3*2?\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q + 5*p = 2*p + 49, 5*p + 109 = -2*q. Let r = q - -54. Factor 2\/13*n**r + 0 - 2\/13*n.\nAnswer: 2*n*(n - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -3 + 8. Suppose -t + 3*t - 42 = 0. Suppose -b - 6*g - 20 = -g, 5*g = -5*b. Solve b*r + t = -3*s, 0*s - h*r - 17 = s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of l*m*w**2 + 14825*l*w**2 - 81*l + 97*m*w**2 + 8064*m*w + 3*m wrt m.\nAnswer: l*w**2 + 97*w**2 + 8064*w + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 22\/15?  (a) 2\/7  (b) -6  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = 4*c - 2. Let z be l(3). Let s = z + -2. Let d be (30\/20)\/((18\/352)\/3). What is the greatest common divisor of s and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*o**3 - 9*o**3 - 11*o**3.\nAnswer: -17*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-225)\/(-20) + -1)*(3 + 1). Suppose 2*k = -3*h + 9 - 14, 0 = -2*h - k - 2. What is the greatest common divisor of h and c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.151 and -4565.\nAnswer: 689.315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 46.897 + 0.103. Let s = 47.0000028 - w. What is s rounded to six decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -79\/56744 and -55\/2964.\nAnswer: 42047304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -23, 13 in decreasing order.\nAnswer: 13, -1, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*u = -0*u. Suppose -2*f - p + 6 + 3 = 0, -3*f - p = -14. Solve 15 = -f*h - u*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-42)\/(-72) - (-3)\/4. Let m(z) = -z + 4. Let l be m(3). Is v < l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/10 in 0.05, -6\/5, 5, 16?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 63 (base 14) to base 10.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = -l**2 + 14*l - 20. Let d be o(12). Suppose -k = -d, -5*i - 148 = 2*k + k. What is the common denominator of -59\/20 and (6\/i)\/((-48)\/(-2464))?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 310754233 to the power of 1\/2, to the nearest integer?\nAnswer: 17628","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = 5*g**3 - g**2 - g + 4. Let o(h) = h**3 - h**2 - h + 1. What is o(w) - s(w)?\nAnswer: -4*w**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 40*b + 35 = 5*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Divide -102629268 by 42.\nAnswer: -2443554","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q = 2*t - 0*t + 44, 0 = -5*q - 3*t + 48. Is 2 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h and 1 z when two letters picked without replacement from hxzjz?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = v**2 + 2*v - 1. Let u(h) = 6*h**2 + 13*h - 27. Calculate -14*p(o) + 2*u(o).\nAnswer: -2*o**2 - 2*o - 40","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 94*i*j**4 - 2747*i*j**3 + 1125276*i wrt j.\nAnswer: 376*i*j**3 - 8241*i*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1 + 1. Suppose b*l = l - 1. Let c be (0 - 0)\/(0 - l). Solve -4*t - 4*k - 1 = -17, c = -2*t - k + 7 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*z**2 + 344070336*z - 9865366342929408.\nAnswer: -3*(z - 57345056)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1094 is divided by 538?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 802\/10 - (0 + (-1)\/(-5)). Suppose 0 = -i + p + 44. Suppose 2*d = 4*d - 2*g - i, d + 4*g - 42 = 0. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -859*c**3*k**2 + c**3*x - 777*c**3 - 86243*c**2*k**2*x wrt x?\nAnswer: c**3 - 86243*c**2*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = 2*a**2 - 13*a + 7. What is b(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -241, -445, -679, -955, -1285, -1681, -2155?\nAnswer: -2719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 731 is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -1, 6, -3 in descending order.\nAnswer: 6, 3, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 19 + -15. Solve r*y = 6*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = 2*l - 14. Let x be h(6). Let r(c) = -c**2 + c - 3. Let p(k) = -k**2 + 2*k - 4. Give x*p(m) + 3*r(m).\nAnswer: -m**2 - m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3718391 is divided by 3323.\nAnswer: 3277","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + sqrt(175) - sqrt(56)\/(sqrt(32)\/sqrt(4) + sqrt(8)).\nAnswer: 9*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = -4*u - 2*w + 19, -12 = -2*u - 2*w. Suppose 0 = -p + u. Does 2 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y - 3*y - 6 = 0. Let m be (-3 - y) + 1 + 1. Suppose w + 339 = m*v, -5*w - 967 = -4*v - 286. Is 42 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -506 = -2*c - 418. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4667.656 decades in millennia?\nAnswer: 46.67656","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 2001 divided by 903\nAnswer: 667\/301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = -17*u + 141. What is the smallest common multiple of y(-15) and 594?\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 49899 a multiple of 107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5743.\nAnswer: 5743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange d**2 + d**2 + 202*d**3 - 248*d**3 to the form q*d**3 + z + b*d**2 + k*d and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*u + 1 - 1 + (1 - 3 + 0)*(-1 + 1 - 2*u) + 5*u + 2*u - 5*u)*(0 + 2 + 0) + 18846 - 18846 - 702*u in the form w + y*u and give y.\nAnswer: -694","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(153) + sqrt(17) + -2)*-4)**2.\nAnswer: -256*sqrt(17) + 4416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -1.61*-87\nAnswer: 140.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -106 = -3*b + b. Suppose 695 = 13*x + 19. Which is smaller: b or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3*-143041\nAnswer: -429123","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -78704507401 - -85?\nAnswer: -78704507316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2079*s**2\/4 - 58995*s\/8 + 1275\/8.\nAnswer: 3*(6*s - 85)*(231*s - 5)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*g**4 + 41*g*u**3 - 11*u**3 - u wrt g.\nAnswer: -8*g**3 + 41*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 2 + 2)*(-34*f - 5*f**2 + 34*f) - f**2 - 3*f**2 + 3*f**2 + 1 + 4*f**2 - 1 + (-3*f**2 + 4*f**2 + 0*f**2)*(7 - 3 + 1).\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -774 - -768. Let u(o) = 3*o + 12. What is u(j)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wtwqttntytqntwwtttt. What is prob of picking 1 q and 1 t?\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11 (base 7) to base 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (23*x + 32*x - 3*x)*(-2*x + 1 - 1) - 254*x + 254*x - 149*x**2.\nAnswer: -253*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = 2*b**3 - 9*b**2 + 3*b + 9. Let t be c(4). Let j(a) = 2*a**2 - 6*a - 5. Calculate j(t).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -660534 + 5?\nAnswer: -660526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-3 - (1 + 1))\/(-1). Suppose t + 2 = -3*p, -x*p = -3*t - 3 + 25. Suppose 15 = 3*o, -o - 7 = -t*l - 0. Which is bigger: l or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = 9*v - 7*v + 5*j, 2*j = -4. Calculate the remainder when 380 is divided by v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = -c**3 - 6*c**2 - 4*c - 9. Let q be h(-6). Solve d = -4*m - 12, -2*d + q = -0*d - 5*m for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 14 - 18. Is (6 + r - -1099)*1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.02585982 + 0.15886169. Let m = -0.133 + k. Round m to 7 decimal places.\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 298493 in 2, 1\/4, 3\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -308 - -770. Suppose 0 = 2*j - 13*j + z. What are the prime factors of j?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:59 AM and 11:28 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b - 832 = 5*i, -271 = 3*i - 2*b + 236. Let k = 307 + i. Calculate the highest common factor of 20 and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -228 - -223. Let t = 0 - 0. What is the closest to -1 in t, 4, l?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7 + -4 + (-10 - 0).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:30 PM and 12:34 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 4\/2 - (-4 - -2). Suppose 5*v + l = -4, -3*l = 10 + 2. Suppose x + x - h = v. Which is smaller: x or 5\/3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 223 minutes before 6:00 PM?\nAnswer: 2:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 m and 1 x when three letters picked without replacement from {m: 4, x: 5, w: 5}.\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 22\/(-6) - 213\/(-9) and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-6*z**2 + 12*z**2 - 2*z**2)*(-832*z**2 - 1301 + 1301) to the form p*z**4 + g*z**2 + s*z**3 + l*z + h and give p.\nAnswer: -3328","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*u - 9*u - 4*u - 368 = 0 for u.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -46.71 + 47. Which is the biggest value?  (a) x  (b) 3  (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 7.887106122 to two dps.\nAnswer: 7.89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -310*h + 310*h + 3*h**2 - 38*h**3.\nAnswer: -38*h**3 + 3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 39*t - 74*t - 30 = m - 40*t, 5*m - 3*t + 62 = 0 for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6861895.\nAnswer: 5, 1372379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((t**(1\/4)\/t)\/t**(-3\/10))**(-13))**(1\/2))**(1\/13) assuming t is positive.\nAnswer: t**(9\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) be the second derivative of -m**5\/20 - m**4\/3 + 2*m**3\/3 - m**2\/2 - 31*m. Calculate h(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 19*h + 5*x - 644 + 942, -5*x + 25 = 0 for h.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.5817007 millimeters to nanometers.\nAnswer: 581700.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Do 1 and -2\/18972231 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((y**6\/y*y*y**(1\/5)*y*y)\/((y**(-1\/5)\/y)\/(y\/y**(2\/37)*y*y)))**(-6\/5))**(-3) assuming y is positive.\nAnswer: y**(41112\/925)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 4 - 5*j - j + 2*j - 4*j + (6*j + 56*j - 21*j)*(5 + 4 - 6))*(-4*j**4 + j**4 + j**4 + (-j + j - 2*j)*(-2*j**2 + 2*j**2 + 2*j**3)).\nAnswer: -690*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -6, 22, 72, 150, 262?\n\"Answer: h**3 + 5*h**2 + 6*h - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -28220152 (base 9) to base 13.\nAnswer: -2b75049","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*s + 5*o - o = -12, 4*o + 12 = -3*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 586275829 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 22785403 to the power of 1\/3, to the nearest integer?\nAnswer: 283","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20*r - 52*r - 106 - 38 = 0. Let t = -0.18 + -12.82. Which is the closest to 0?  (a) r  (b) t  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 + -3 + 3 + 2 + 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 9352 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or 21\/61651?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 0.5, -0.4, -3, -5, 5, 100, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pq when two letters picked without replacement from npnndpqpndpbdb.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-3760)\/2632)\/(85\/14)?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 168780 and 393820.\nAnswer: 1181460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = 3*w - 42. Let r be n(16). What are the prime factors of 64\/2*(-12)\/r*-2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 439.1803t to milligrams.\nAnswer: 439180300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w**4\/13 + 12172*w**3\/13 - 18397578*w**2\/13 - 371611160*w\/13 - 1864161800\/13 = 0. What is w?\nAnswer: -10, 3053","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1037 + 118219\/114. Let n(m) be the third derivative of 0 - t*m**4 + 0*m**3 - 1\/570*m**5 + 0*m + 8*m**2. Solve n(l) = 0 for l.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 121\/10 and 35\/72034?\nAnswer: 360170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -6*451\/492*-2*1?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 43238958 or 43238944?\nAnswer: 43238958","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 5515026 and 3498.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -11011011110101 - 10?\nAnswer: -11011011110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -200 + -21121?\nAnswer: -21321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 7666\/3615 less than 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 14  (b) -3  (c) 5  (d) 255\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -107\/20 - -23393\/4380. Let c(w) = w**3 - 9*w**2 + 8*w. Let b be c(8). Which is smaller: i or b?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1431*g = -5*b + 1433*g - 144, 0 = -b + 3*g - 34 for b.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 5620, 10259, 17996, 28831, 42764, 59795, 79924?\n\"Answer: 1549*u**2 - 8*u + 4079","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out 14 - -33941.\nAnswer: 33955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 4945 and 2580?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3064, 3060, 3056, 3052, 3048, 3044?\nAnswer: 3040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -2, -380 in ascending order.\nAnswer: -380, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u = -3*p - 2, 0 = p + 3*p - 3*u + 3. Suppose 9*h - 817 - 92 = p. Suppose 5*a + 1 = h. What is the remainder when a is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 45*y - 19*y + 24*y + 3 - 3*y - 3 + (-y + 1 - 1)*(0 + 0 - 1).\nAnswer: 48*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 326*s - 1016951 + 1016951 + 617*s to the form z + g*s and give g.\nAnswer: 943","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0013716 rounded to 5 dps?\nAnswer: 0.00137","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = -q**2 + 313*q - 928. Let k be u(3). Suppose -5*g - 4*f + 5 = 0, -f - 48 + 18 = -5*g. Determine v, given that -152*v + 0 + 0 + 157*v - g*v**k = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence lldl when four letters picked without replacement from {x: 6, o: 1, d: 1, g: 1, l: 3}?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -251 + 172 + 24*p + 191.\nAnswer: 24*p + 112","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = -s**2 + s - 1. Let d be m(-3). Let j = d - -18. Let o = j - 3. Calculate the remainder when 3 is divided by o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -25075 (base 8) to base 15\nAnswer: -330d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 44992*y + 28908 wrt y?\nAnswer: 44992","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express 0 + 1 + 3*m - 4*m + (0 - 2 + 1)*(-2*m + 0 + 0) - 2 + 2 + m + m - 2 + 2 + (3 + 1 - 2)*(0*m + 19*m - 2*m) as s + w*m and give w.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y*y**(-4)*y)\/y)**5*(y\/(y\/(((y*(y\/((y**(-4\/9)*y)\/y))\/y*y)\/y)\/y)))\/y**4 assuming y is positive.\nAnswer: y**(-167\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = -29*b**3 - 3*b**2 - 1. Let k be x(-1). Solve -k = 2*j - 25 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 50182546*b - 50182546*b + 2*b**3 + 6432.\nAnswer: 2*b**3 + 6432","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.2 - -446.68.\nAnswer: 446.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 57\/129537410 and -13\/22.\nAnswer: 1424911510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/7 in -0.5, -184, -1, -3\/31, -2589?\nAnswer: -3\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3035086.\nAnswer: 2, 31, 48953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -10*(-8)\/30*-3. Let j = -8 - w. Let q(g) = g**2 - g - 9. What is q(j)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = -o + o + 2*o - 2*o + 4 - o. Suppose n = -3*w + 33, -w - n + 43 = 3*w. What is y(w)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 628240 is divided by 25127.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*y - 21 + 21)*((3*y - 3*y - 2*y)*(-3 + 4 + 0) + 6958*y - 15575*y + 6880*y).\nAnswer: -5217*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 6079\/4 or -2?\nAnswer: 6079\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 22 and 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 1423 + -3423100?\nAnswer: -3421122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.0366 - 0.0634. Which is the nearest to w?  (a) -8\/7  (b) -4  (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -1242*g**4 + 19*g**3*v + 10898*v wrt g?\nAnswer: -4968*g**3 + 57*g**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 3680749931 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = -4985*u**2 + 9954*u**2 - 4966*u**2. Suppose 0 = -t - 1 + 4. Let b(f) = f - t*f - f. Give b(m(h)).\nAnswer: -9*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express (16 + 10 - 5)*(-1 + 2*w + 1) as o + i*w and give i.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 787.5043mm?\nAnswer: 0.7875043","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = q**3 + 6*q**2 - 5*q + 10. Let y be k(-7). Let u(x) = 24*x**3 - x**2. Let d be u(-1). Let c be y + 3*(-40)\/d. Which is greater: 0.6 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2277?\nAnswer: 3, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -18197 + 18197.2. Sort -74, -2\/19, 2\/11, u, 0 in descending order.\nAnswer: u, 2\/11, 0, -2\/19, -74","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 1370229 and -8.\nAnswer: -10961832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -21302656.91+0.1\nAnswer: -21302656.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = 32*m. Let a(d) = d + 12. Let y(f) = 2*f + 20. Let t(v) = -5*a(v) + 3*y(v). Calculate -3*p(r) + 84*t(r).\nAnswer: -12*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -63 + 59. Sort j, -7, 1, 5 in decreasing order.\nAnswer: 5, 1, j, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/13, 0.4, 1.4178367 in decreasing order.\nAnswer: 1.4178367, 0.4, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 219\/4 - (-2)\/8. What is the greatest common factor of 165 and d?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t = -34 + 14. Let w(k) = 3*k + 1. Is w(t) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-475)\/38*4\/(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) 13\/3  (b) 0.4  (c) -1\/3  (d) -3\/4  (e) -1\/29\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3244 = -3*w + 4*n, -w + 4*n + 4324 = 3*w. List the prime factors of w.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -11236692\/37 + 303714. Is 20 > c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:58 AM and 10:00 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -55, -52, -41, -16, 29, 100, 203, 344?\n\"Answer: n**3 - 2*n**2 + 2*n - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 1, q: 3, h: 3, y: 1, s: 6}. What is prob of picking 2 h?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 0 = -139\/7138?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*f = -5*w + 25, w + 3 = 3*f - 9 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -128*m**3 + 7264*m**2 - 109938*m + 191844 = 0. What is m?\nAnswer: 2, 219\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0.4  (b) -1\/9  (c) 3\/8  (d) 34\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 2470, 4927, 7598, 10591, 14014, 17975, 22582?\n\"Answer: 18*u**3 - u**2 + 2334*u + 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l - l = -20. Suppose 3*g + 35 = k, k + 76 = l*k + 4*g. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1813, 76, -4, 10 in ascending order.\nAnswer: -4, 10, 76, 1813","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -7 - (-3 - 0) - (4 - 10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 3, u: 2, b: 1, k: 6}. What is prob of sequence ok?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -29\/243 and -24\/5.\nAnswer: 1215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14888 + 27532 = -2020*l for l.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor w**2\/8 + 272611*w\/4 + 545221\/8.\nAnswer: (w + 1)*(w + 545221)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00145855 rounded to 5 dps?\nAnswer: -0.00146","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o**2\/8 + 753*o\/4 + 567009\/8 = 0. What is o?\nAnswer: -753","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 2, a: 2, d: 1}. What is prob of picking 2 a?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 10199937 in 1, -1.1, 2, -0.4, -2\/11?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 3276246185 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 1, y: 1, s: 7, w: 2, v: 3}. Give prob of picking 1 v and 1 s.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand -t**2 + 0*t + 0*t + (t + 2*t**2 - t)*(-3 + 4 - 2) + 0*t + 5*t**2 + 0*t + 6*t**2 + 4 - 4 - t**2 - 2*t**2 + 7*t**2.\nAnswer: 12*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express 37*l**3 + 28*l**3 + 2*l**4 + 2*l - 3 - 99*l**3 + 35*l**3 + 2*l**2 as b*l**2 + w*l**3 + q*l**4 + m + p*l and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*u - 7*c = 45, u + 5*c + 340 - 371 = 0 for u.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = -2*b**3 - 6*b**2 - 3*b - 10. Let h be f(-3). Let o = 0.022 + 44.478. Let g = o + -45. Put h, g, -0.3, 0.3 in decreasing order.\nAnswer: 0.3, -0.3, g, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2155 (base 6) in base 10?\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 11844?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = 809*i**2. Let f(p) = 1617*p**2. What is -6*f(c) + 11*k(c)?\nAnswer: -803*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) be the third derivative of 11*w**5\/20 - 2*w**3\/3 + 13*w**2. What is the first derivative of s(r) wrt r?\nAnswer: 66*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 24\/(-8) + 653\/90 + -5 and -61\/54?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (6\/9*9)\/1. Suppose -i - f = -4*i. Which is the nearest to 0?  (a) -5  (b) i  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 232 - 229. Let n(r) be the first derivative of 1 - 18*r + 6*r**2 - 2\/3*r**m. Factor n(v).\nAnswer: -2*(v - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 43 - 38. Does 2 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-8)\/36 + (-8068)\/(-18). Suppose 460*y - k*y - 20508 = 0. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = -2*m**3 + 14*m**2 - 2. Determine y(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -210.6 + 211. Sort -0.3, v, -0.5, 8\/13 in increasing order.\nAnswer: -0.5, -0.3, v, 8\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -7176398 take away -0.799?\nAnswer: -7176397.201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -46 - -49. Suppose 984 + 678 = k*t. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -21*f + 20*f + 2. Suppose c = 5*r + 4, -4*r - 5*c + 12 = -f*c. Let h(g) = -g - 1. Calculate h(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1150333 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 41726772 and 5508?\nAnswer: 1836","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(sqrt(35) + sqrt(140)\/sqrt(4) + sqrt(35)))\/sqrt(5).\nAnswer: 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*k + k + 3*k)*(5*k + 4*k - 4*k) to q*k + g + t*k**2 and give t.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w - 2 = 10. Suppose -193 = -w*k - 0*v + 3*v, -3*k - v = -148. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 25304 divided by -12652\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: (-55)\/(-3135)*(-10 + 11\/((-55)\/(-20)))\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -145 - -147. Solve -3*v = r*v + 20 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = 5*q + 3. Let l = 14 - 9. Suppose 0 = b - l + 2. What is the tens digit of o(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d = -5*a + 935, -2*a + 4*d - 362 = -4*a. Is 32 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 15776?\nAnswer: 2, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = 5*a + 10. Give g(7).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 130210022 + 1021?\nAnswer: 130211103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 58*k - 592 = -102*k - 112 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*t - 17 = 2*y, 12422*y - 12422*y = -5*t - 25 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7880?\nAnswer: 2, 5, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.24, -5, -0.1, 1\/34 in ascending order.\nAnswer: -5, -0.24, -0.1, 1\/34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 248, 271, 328, 425, 568, 763?\n\"Answer: m**3 + 11*m**2 - 17*m + 253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (1 + 0 - 4) + -13 + 100 + -79 + -10?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (20\/(-60) - 46\/(-57))\/((-6)\/4).\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 164 a factor of 15256100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from wmgwaaw. What is prob of sequence wgma?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -1 (base 14) to base 3\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-52)\/(-30))\/((-48555)\/(-12450)).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 26967159.\nAnswer: 3, 1249, 2399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*n**3*q - 33*n**2*q + 1284*n**2 + 3*n*q + 23*n + 8*q + 2 wrt n.\nAnswer: 12*n*q - 66*q + 2568","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -49 - 1 = r + 4*m, -2*r - 4*m = 76. Put r, -6\/5, -1\/3 in decreasing order.\nAnswer: -1\/3, -6\/5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -72 divided by -244?\nAnswer: 18\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {l: 15, c: 3}?\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.219425872 to 4 decimal places.\nAnswer: -0.2194","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(8)\/(sqrt(4)*3))**2 + sqrt(162) + (sqrt(162)*3)**2.\nAnswer: 9*sqrt(2) + 13124\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 5617 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s + g + 72 = s, -3*g - 66 = -5*s. Let u(h) = -5*h**3 + 4*h**2 - 1. Calculate the remainder when u(-2) is divided by s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence aaaa when four letters picked without replacement from agaggagaag?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = 18*t**2 + 1. Let w be u(1). Let g = -16 + w. Solve 3*x + 0 = -3*y - 3, 4*x - 24 = g*y for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (15\/(-10) + 4)*10444\/(-1865).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -196324, -196321, -196306, -196273, -196216, -196129?\nAnswer: -196006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = 5*k**2 - 2*k - 116. Let d(t) = -2*t**2. Determine s(d(j)).\nAnswer: 20*j**4 + 4*j**2 - 116","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5397 times -91?\nAnswer: -49.1127","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 52 and 2236.\nAnswer: 2236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 41\/72 and ((-22)\/(-264))\/(3 - 0)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 77780?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put together -383 and 4.\nAnswer: -379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -24.999946 + 25. Round s to 5 decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.2 and -21.\nAnswer: 4.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -3\/28 - -13\/14. Calculate the common denominator of (-13)\/195*(-1460)\/(-8) and t.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*h - 9, -10 + 57 = 5*p + 4*h. Let b be (6\/4 + -1)\/((-1)\/(-22)). Solve 6*z = -p - b for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 266 divided by -133.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u = -3*d - 3*u - 13, -3*d + 5*u = -23. Let j(h) = 19*h + 1. Calculate the remainder when 12\/9*(-6)\/(-4) + 115 is divided by j(d).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6 = -t + 3*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from siccaccciocacpicpcas. What is prob of sequence ps?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*i = i + d + 2, -d = -i + 8. Let l(p) = -2*p + 1 - 7 + 4. Let u be l(-5). Solve i*m = u*m + 20 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-166)\/3*9\/(-6). Let a = -121 - -70. Let q = a + v. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1101001 (base 2) in base 7?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 633 is divided by 53.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = 4*y - 118. Calculate the smallest common multiple of l(30) and (-2)\/(-2 - 0) + 11.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from lscsslllssallcc. Give prob of sequence lcl.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 76572 and 216?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 35*k**3 + 5*k**2 - 4940881*k + 4940881*k.\nAnswer: 5*k**2*(7*k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = i**3 + i**2 - i + 40. Let z be s(0). Calculate the highest common divisor of 440 and z.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 1887 + 39*w**2 - 1887 + 21*w**2 as o*w**2 + y*w + a and give o.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -23473*u + 23473*u + 4*u**2 - 10*u**2.\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h = s - 77, 0 = s - 0*s + 2*h - 112. Let i = -3 - s. Let y = i - -153. Does 16 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = 5*b**2 + 2*b + 6. Let l(p) = -4*p**2 - p - 5. Suppose 4*m - 28 = -4*f, 6*f - 4*f - 6 = 0. Determine m*l(t) + 3*c(t).\nAnswer: -t**2 + 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 664?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(144)\/sqrt(3)*3*-6 + -2)**2.\nAnswer: 288*sqrt(3) + 15556","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*f = -3*v - 35 + 13, 3*f - 27 = -3*v for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (11011\/2128)\/11 - (-3450)\/(-11040).\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 8*m*x**4 + 60483*m*x**3 + 55*m*x**2 - 9003*m wrt x?\nAnswer: 192*m*x + 362898*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 4242 and 14140?\nAnswer: 42420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = 5*q**2 - 4550. Let f(j) = -58*j**2 - 2. Give s(f(n)).\nAnswer: 16820*n**4 + 1160*n**2 - 4530","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1510*b**2 - 957*b**2 - 461*b**2.\nAnswer: -2928*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = -12*q + 2. Suppose 81*s + 213 + 192 = 0. Determine l(s).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l - 449 = -5*r + 953, 2*l + 1118 = 4*r. List the prime factors of r.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) be the third derivative of n**6\/660 - 7*n**5\/330 - 17*n**4\/132 - 3*n**3\/11 - 421*n**2. Factor d(g).\nAnswer: 2*(g - 9)*(g + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20 = 5*h - 2*v - 0*v, 0 = -3*h + 4*v + 26 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = -214*g + 2572. Let o be j(12). Let b be (3*1)\/((-6)\/8). Let l be (6 - 10)\/((-8)\/6). Sort l, b, o in descending order.\nAnswer: o, l, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 i, 1 e, and 1 p when four letters picked without replacement from sspeeqepspeqpeeeisei.\nAnswer: 32\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -12*(3 - (0 - -4)). Suppose 2 = -5*f + m. What is the units digit of (2 - -2) + 0\/f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 292 minutes after 10:27 AM?\nAnswer: 3:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 208, -4, -5 in ascending order.\nAnswer: -5, -4, 1, 208","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -6 + -7. Let c = 13 + h. Let o = -0.21 + 9.21. Is c greater than or equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 1\/2, -287\/2, 20, 62, 3, 0.1?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 51021 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round -142.2 to the nearest 10.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(4)\/sqrt(32) - -5*(2 + sqrt(2)) - ((sqrt(288) + sqrt(288) + -1)**2 + sqrt(2) + 2 + 4).\nAnswer: -1149 + 209*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 16877 divided by -8?\nAnswer: -16877\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = -2*m + 30. Give f(21).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 1111100000011011010111 (base 2) to base 8\nAnswer: 17403327","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 221980.\nAnswer: 2, 5, 11, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) be the third derivative of v**7\/1050 + v**6\/200 - v**5\/75 - v**4\/10 - 20*v**2 - 16*v. Factor x(h).\nAnswer: h*(h - 2)*(h + 2)*(h + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = 87*i - 23. Let a be c(3). Solve -a + 239 = -q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 44 divided by 25652\nAnswer: 1\/583","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = 3*h + 1. Let s be z(1). Suppose 2*r - 5*m = 14, s*m + 0*m - 20 = -r. Solve d + r = -2*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -13 > -543\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 23 + -23. Let n(l) = l**3 - 5*l**2 + l - 3. Let d be n(5). Factor 14*j**4 - 1\/2*j**3 + 0 - j**d + t*j.\nAnswer: j**2*(4*j + 1)*(7*j - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n = 3*n + 8*n. Let a(b) be the second derivative of -1\/12*b**4 + 2*b - 1\/30*b**6 + n*b**3 + 0 - 1\/10*b**5 + 0*b**2. Factor a(c).\nAnswer: -c**2*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -50\/2803 and -15\/156968.\nAnswer: 156968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -288 - -83. Let q = 204.999746 + o. What is q rounded to 5 decimal places?\nAnswer: -0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1984119 is divided by 174?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 53 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0 + 1\/4*a**2 - 13\/4*a.\nAnswer: a*(a - 13)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -131, -118, -89, -38, 41, 154, 307, 506?\nAnswer: 757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*q + 360 = 29*q. What is the highest common factor of 120 and q?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -685*d = 975*d + 3041 + 11899 for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of i**2*j**2 - 7*i**2*j + 8*i**2 - 2*i*j**2 - 301*j**2 + j + 3 wrt j.\nAnswer: 2*i**2 - 4*i - 602","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -4 + 891\/45 + 1\/5. Let y(a) = -8*a**3 + 25*a**2 - 31*a + 24. Let z(p) = -7*p**3 + 24*p**2 - 32*p + 23. Let o(f) = 6*y(f) - 7*z(f). Is o(l) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (7\/504*-21)\/((-49)\/63).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = 2*c + 232. Let g be -47 - ((-7)\/((-35)\/(-30)) + 3). Is s(g) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (8*u**4 + u**4 + 34*u**4)*(-1 - 1 - 5 + (2 - 2 + 2)*(-2 + 2 + 2) + 0 + 0 + 2).\nAnswer: -43*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express -h**2 + 2*h**2 + 2*h**3 - 2*h**3 + 36*h + 2*h**3 + 6*h in the form w*h**2 + n*h**3 + u + p*h and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 28217*n**3*y**3 + 21*n**3*y - 3*n**2 + 2*n*y**3 + 22*n*y - 3*n wrt y.\nAnswer: 169302*n**3*y + 12*n*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 556?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = x**2 + 1789*x - 1638141. Give z(667).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 12 + (56 - (2 - (22 - 29 - 8))).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = -d + 23. Solve 27 = 3*x + 5*u - 10*u, 0 = d*u + 9 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*y + 89 = -31. Let z = -5 - y. What is the greatest common factor of 160 and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.35882 to 1 decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 180496701127 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 0, -170, -4, -2, -486, -3.\nAnswer: -486, -170, -4, -3, -2, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) be the second derivative of c**4\/12 - c**3\/2 + 7*c**2 + 1183*c. Give f(5).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -3528*x**3 - 3352 with respect to x.\nAnswer: -10584*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(-5*(sqrt(2299) + -1) - (sqrt(2299) - (3 + -1*sqrt(2299))))*-2 + -5)*3.\nAnswer: -207 + 1848*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = -5*y - 19. Let d be -5 - (3 + 20\/(-8))*0. Let z be t(d). Solve 0 = -3*p - 5*r + 8, 4 = -5*p - z*r + 2*r for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + (((sqrt(24)*-2*5)\/(sqrt(36)\/(sqrt(12)\/sqrt(4))))**2 - ((sqrt(128) + -1*sqrt(128))*-1*-6)**2))*-6.\nAnswer: -1170","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 minutes after 12:15 AM?\nAnswer: 12:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*n + 10 - 4 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 351 and 3501171?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 20011001021 (base 3) in base 9?\nAnswer: 204037","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y - 3*h + h - 30 = 0, y + 5*h = 24. Suppose 6*v - y = -3. Is 6 less than or equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-2516)\/1036)\/(1\/(-7))\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000005106256717 rounded to 7 dps?\nAnswer: -0.0000051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 3\/(-2) - (-145)\/10. Suppose -4*o + 2*s = -22, 0*s + n = 2*o - 3*s. Suppose o*i - 76 = -21. Is i a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(-1\/4))**(-45)\/(r\/r**1)**47 assuming r is positive.\nAnswer: r**(45\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -37\/26 and 43\/10.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = -t - 10. Let k be w(-7). Let u(g) = -2*g**2 + 11. Let d(m) = -m**2 + 4. Calculate k*u(z) + 8*d(z).\nAnswer: -2*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 659 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = -33*c + 66. Let j be d(2). Solve 3*t + 4*a = -25, -2*t + j*t - a = 10 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -6\/29 <= 1054?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*sqrt(1452)*-3)**2 + -3 + sqrt(192) + 3 + 0.\nAnswer: 8*sqrt(3) + 209088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = 9*u**3 + 2*u**2 + u. Suppose 18 - 10 = -4*t, 44 = 2*p + 5*t. Suppose -36 = -29*a + p*a. Calculate the lowest common multiple of a and x(2).\nAnswer: 738","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*6*(sqrt(1573) - (sqrt(1573) + -4))*-4 + 5)**2 + -4)*6.\nAnswer: 61182","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = 2*c**2 - 37*c + 27. Calculate q(18).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 61, -1\/3, 1 in ascending order.\nAnswer: -2, -1\/3, 1, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = s**3 - 20*s**2 - 25*s + 104. What is d(21)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1895700958 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q = k, -3 - 5 = 4*q - 4*k. What is the greatest common factor of q and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) be the first derivative of -m**2\/2 + 1. Let a be u(-2). Let f be (4 + -4)\/(-2*1). Solve 0*w - w - a = f for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -43 - -73. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = 4*h - 13. Let v(u) = -4*u + 12. Let i(z) = 4*k(z) + 5*v(z). Let x be (-1 - -1) + -7 + -1. Does 11 divide i(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1 by -214762079.\nAnswer: -1\/214762079","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d = -4*f + 172, 3*d + 5*f = -52 + 191. Let c = d + -48. What is the common denominator of 438\/c*(-2 - 92\/(-48)) and -67\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3 - 7*t - 7 + 4.\nAnswer: -7*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 665 divided by -6?\nAnswer: -665\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 6862046 - -4?\nAnswer: 686204a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 101744 + -72271. Is l a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -324355 divided by -64871\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = -22*i + 135. Let w be q(6). Let x(n) = -3*n**3 + 4*n**3 - 4*n**2 + n**3. Determine x(w).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find c, given that -24*c**2 + 2*c - 10*c**5 - 44*c**3 + 16 + 4*c**5 - 28*c**4 - 12 = 0.\nAnswer: -2, -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 955325 divided by 8.\nAnswer: 955325\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6 = -3*o + 3*s, 262 = 6*o - s + 255 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 18390497 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in seven halves of a meter?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 9\/16 of a centimeter in micrometers?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 656242080?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.372256994 rounded to 2 decimal places?\nAnswer: 3.37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 26\/(-52)*(8*(-7)\/(-4816))\/((-17)\/68)?\nAnswer: 1\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 681.09 + -681. Round g to two decimal places.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 206415 by -5.\nAnswer: -41283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = 47129*g - 377566. What is o(8)?\nAnswer: -534","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-2)\/5 + 4\/10. Let y(k) = -2*k**2 - 19*k - 15. Let b be y(-7). Solve h = -2*w - 4, -6 = 4*f + 5*w + b for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -3219665 or -3219567?\nAnswer: -3219567","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 71758 is divided by 2643?\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 7008592, 14017190, 21025788, 28034386, 35042984, 42051582?\nAnswer: 49060180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = -g**2 + 2*g + 2. Let u be p(-2). Let y(z) = -8396 + 4*z - 8*z + 16790 - 8400. Give y(u).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = -4*b - 132. Let t be s(-34). Let x(a) be the second derivative of -5\/48*a**4 + 0 + t*a - 1\/3*a**3 + 1\/2*a**2. Factor x(c).\nAnswer: -(c + 2)*(5*c - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) be the second derivative of z**4 - 579*z**3\/2 - 435*z**2\/2 + 2252*z. Let t(m) = 0. Calculate m.\nAnswer: -1\/4, 145","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:02 PM and 8:31 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 21290165, 42580327, 63870489, 85160651, 106450813, 127740975?\n\"Answer: 21290162*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.031 - 9.031. Let q = 7 + t. Which is smaller: q or 21?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = -25*m**3 + 7*m**2 + 7*m + 11. Let b(t) = 12*t**3 - 3*t**2 - 3*t - 5. Let v(d) = -9*b(d) - 4*f(d). Determine v(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -30587823, -61175647, -91763471, -122351295, -152939119, -183526943?\n\"Answer: -30587824*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 171\/38 - 2\/(-4). Suppose -s + u = -11. Calculate the least common multiple of s and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -26*o + 29*o - 3. Suppose 5*i - 6 - 14 = 0. Solve -i = -l - o for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = p**3 - 24*p**2 + 57*p + 379. Give a(20).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = -60*i - 319. Let x(d) = -8*d - 2. Give x(g(j)).\nAnswer: 480*j + 2550","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 136038 and 56090?\nAnswer: 48293490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 653 (base 12) to base 10.\nAnswer: 927","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2805708.\nAnswer: 2, 3, 229, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 190959 and 159?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -4, -2449, 1.2, 0.5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3160, 11097, 24318, 42817, 66588, 95625, 129922, 169473?\nAnswer: 214272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 49\/5 of a day in minutes?\nAnswer: 14112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/3, -0.04, -0.4, 13, 33809.\nAnswer: -2\/3, -0.4, -0.04, 13, 33809","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 14 + -7?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0962306198 rounded to 3 dps?\nAnswer: -0.096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -117?  (a) -3  (b) 12\/13  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = b - 2. Let o be g(5). Let x(w) = 0*w**2 + 3 + w**3 - w + 3*w + o*w + 4*w**2. Give x(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.109982893 rounded to 4 dps?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -y - 4*k = -7, 4*k + 3974 = 3*y + 4001 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 28.8 - 7.8. Let p = -3771.288 + 3750. Let z = p + j. What is z rounded to 2 dps?\nAnswer: -0.29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 31402329 is divided by 337?\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (13*k**2 + 10*k**2 - 17*k**2)*(1 - 2 - 2)*(-1 + 0 + 3) - 2*k + 0*k**2 - 3*k**2 - 6 + 2*k**2 to v*k**2 + t + q*k and give v.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 28 and 378.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -79970  (b) -284  (c) 5  (d) -4  (e) 4\/3  (f) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -39\/155 and -1*8 + 46588\/5890.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = -s + 13. Let x be h(9). Let k = 2 + x. Is 21 a factor of 1\/((-3)\/(-37*k))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 1, 6, 701, 0.2?\nAnswer: 701","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 12, 4, -1, -6, 43?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: (5 - (1078\/21)\/14)*3\/2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 129419, 129417, 129415, 129413, 129411, 129409?\n\"Answer: -2*l + 129421","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3540 - 609*i - 3540)*(-1 + 0 - 1) - 2*i + 5*i + 3*i.\nAnswer: 1224*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 53346155?\nAnswer: 5, 89, 313, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -521, -520, -511, -488, -445, -376, -275?\n\"Answer: l**3 - 2*l**2 - 520","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2.3?  (a) -6\/11  (b) 0.5  (c) -0.3  (d) -0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = 3*r - 15. Let d be v(10). Suppose -4*o + d + 21 = 0. Solve 5*k = 2*k + o for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*j = -10*j - 344. Solve 5*p - j = -63 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*g**2 + 5*g**3 + 89*g + 4*g**2 + 1 - 3*g**3 - 69*g wrt g?\nAnswer: 12*g + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 2\/((-24)\/(-340)) - 2\/6. Suppose 38 - c = 5*i. Suppose i*b = -b + 81. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (1*sqrt(3267))\/sqrt(9).\nAnswer: 4 + 11*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 139*92\nAnswer: 12788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in one fifth of a meter?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -181\/466578 and -67\/221080209.\nAnswer: 1326481254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = -k**3 - 5*k**2 + k + 4. Let y(b) = -b**2 - 9*b - 5. Let n be y(-9). Let u be s(n). Which is smaller: -2\/21 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = 17978*n + 167. Is h(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 3\/2  (b) 3\/10  (c) 1\/4  (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 4 and -0.29568.\nAnswer: -1.18272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express -81*u + 42*u + 28*u + 55*u in the form q + h*u and give h.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -34 + 82. Suppose -4*d + a = -4*c, c = -4*d + 4*c + 51. Suppose -40 = -5*t + 3*k + d, t - 11 = -3*k. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 2\/(-4 - (-42)\/9). Suppose l - 13 = -3*w + 6*l, 3*l = 3. Let c be 58\/w + 2\/(-3). What is the highest common factor of c and n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 9 + 34. Let n = s - 43. Let z = 56 - 393\/7. Which is the nearest to -4?  (a) z  (b) -4  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6, 1, 5, -20 in descending order.\nAnswer: 5, 1, -6, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(2*sqrt(209) - sqrt(209))*-2*4)\/((-1*sqrt(33)*-2)\/(sqrt(147)*1 + sqrt(3))).\nAnswer: -96*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = x**2 + 9*x - 1. Give h(-9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-2)\/(-3)*((-165)\/(-40))\/11. Does x = 49?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*l**3 - 43*l**3 + 335*l**2 - 335*l**2.\nAnswer: -48*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2\/4*16\/(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 250 = 4*m + 3*z + 69, 2*m - 262*z - 91 = -263*z for m.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-2)\/((-1 + -1)*-1). Let u be ((-6)\/8)\/(p\/8). List the prime factors of 3\/1*28\/u.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (a + 0*a - 3*a)*(-34 - 14 - 23) + (-6 + 4 + 1)*(-a + 4*a - 2*a).\nAnswer: 141*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -8330\/9 + 926. What is the nearest to 0 in -0.1, 1, u, -9?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*k + 25, -53*q - 7 = -51*q - 3*k. Solve -7 = -q*i + 11*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.01, 4, 189 in increasing order.\nAnswer: -0.01, 4, 189","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -20201211 (base 3) in base 10?\nAnswer: -4909","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -3*o**3 - 2*o**2 - 10*o - 9. Let f be p(-1). Let u(b) = b**2 + 3*b - 1. Let r be u(-5). Differentiate -r + f + 13*x - 14 + 0 with respect to x.\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) be the first derivative of 1\/3*o**3 + 0*o**2 + 0*o + 1. Let u(h) be the second derivative of h**4\/12 + 7*h. Give i(u(s)).\nAnswer: s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -5904 + 25545. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -2 and -1058989144689.\nAnswer: -1058989144691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) 0.3  (b) 0  (c) -2  (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 j and 1 s when four letters picked without replacement from {j: 5, s: 10, r: 2, v: 3}?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3 by -38.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2\/53981 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wdtlwdvv. What is prob of sequence dt?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*w + 51*w - 31*w.\nAnswer: 11*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 391 minutes before 5:47 AM?\nAnswer: 11:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -16429, 81, -3?\nAnswer: -16429","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"}
{"text":"Question: Factor 353*b**3\/5 - 5999*b**2\/5 + 5614*b\/5 + 32\/5.\nAnswer: (b - 16)*(b - 1)*(353*b + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (138 - 77) + (10 - 9)?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(192) + 0 + -5 + (sqrt(12) + -5)*5 + (sqrt(147) + sqrt(147) + 1 + sqrt(147) + -4 + 5 + sqrt(147) + -1)**2.\nAnswer: 74*sqrt(3) + 2323","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2136 + 2140. Which is the nearest to -7?  (a) -23  (b) y  (c) -4  (d) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = -u + 16. Let k be (14 + -9)\/(1\/3). Let i be g(k). Solve 0 = v + y + i, 5*y + 5 = -2*v - 2*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/3 of a hour in seconds?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 3\/1*(-216)\/162\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i + 6 = -t, 3*i + 5*t - 12 - 6 = 0. Let c(z) = 4*z**2 + 3. Let d(h) = -1. Give i*d(u) - c(u).\nAnswer: -4*u**2 - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 186\/(-11) + 0 - (70 + (-47754)\/693)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-1 + m + 1)*(4 + m - 4) - 59*m - 31*m**2 + 59*m)*(412 - 20*m - 412).\nAnswer: 600*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from qgggqrwggworggqgg. What is prob of sequence qogr?\nAnswer: 9\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c - 19 = 11. Let z be c\/9*(-18)\/(-4). Let n = 48974\/11 + -4452. What is the closest to -13 in -1\/4, n, z?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = -u + 5. Let a be q(0). Sort -2\/5, a, 0.\nAnswer: -2\/5, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -j + 4 = -i, 577*j + 5*i = 575*j - 13 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 75221?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = -t**2 - 17*t - 6. Let p be o(-12). Is (-5314)\/(-18) - ((-150)\/p - -3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -24 - -26. Which is the closest to 2\/5?  (a) -0.5  (b) m  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 14, 12, 6, -4, -18?\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 3307225183?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11011101 (base 2) to base 4.\nAnswer: 3131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -297*q**3 - 34*q**2 + 6*q - 1780281.\nAnswer: -891*q**2 - 68*q + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 348 - 324. Solve 2*q + 18 = -4*x, 2*x - 6*x + 4*q = k for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -29\/12155 and -7\/355.\nAnswer: 863005","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-192)\/224)\/(-1 + 0).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 4741458790?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*t + q = -19, -4*t - 2*q - 22 = 6 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 34 not equal to 1\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 353579 and 1081?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -8 - 16*k**2 - 8 + 20*k**2 + (0*k + 0*k - k)*(13 - 14 + 433*k - 1) to the form z + p*k + u*k**2 and give z.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 128 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zwkw when four letters picked without replacement from koowzowooaoqqwa.\nAnswer: 1\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -3 and 4812687?\nAnswer: 4812690","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = 743*q**3 + q**2 - 3*q + 1. Let a be j(1). Let h = a + -405. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 27 (base 11) to base 5.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 145 divided by 2839?\nAnswer: 145\/2839","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -97 - -111. Let t = d - 13. Suppose -3*r + 3*s = 2*s - 686, -s + t = 0. What is the hundreds digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = -i**2 + 2*i + 2. Let v be p(-1). Let q be 0 + -5 - (v + -2). What is the lowest common multiple of 18 and (2*q)\/(8\/(-12))?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -205 + 207 + (-10 - 0) + 3\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 5.5 + -0.5. Is o less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = 780*i + 2. Let m be u(-11). Let v = 12773 + m. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 387 + 211 + 1541*d - 3118*d + 1562*d in the form u*d + w and give u.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 32 (base 9) to base 6\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 21894 divided by -267\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = -f**3 + f**2 + 4*f + 3. Let w be d(-1). Let i be (-4)\/(-14) - (-38)\/14. Let u be 14 + i\/(w + -4). Calculate the greatest common factor of 143 and u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10208666 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a**4\/3 + 947*a**3\/3 + 93915*a**2 + 25095553*a\/3 - 25378246\/3 = 0. Calculate a.\nAnswer: -391, -166, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4*d**2 - 2*d**2 + d**2)*(d + 0*d - 5*d)*(0*d + 0*d + 2*d) to j*d**2 + y*d**3 + m*d + s*d**4 + x and give s.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 206515 is divided by 69?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -55872.3 + 60193. Round s to the nearest 100.\nAnswer: 4300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -2*r**2 - 10*r - 2. Let q be i(-5). Is (7\/q)\/((-6)\/348) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*(sqrt(76) + 3))**2.\nAnswer: 300*sqrt(19) + 2125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n + b = -13, 6*n - 5*n + 12 = -2*b. Let a = 5 + n. Let y = 3 + 8. Calculate the remainder when y is divided by a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 543.8506 days?\nAnswer: 46988691.84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from bbbodvvbbovbn. Give prob of sequence doon.\nAnswer: 1\/8580","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1428 - 2806 = 53*v for v.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 3364138?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3695734.\nAnswer: 2, 7, 277, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) be the second derivative of -5\/3*c**3 + 0 + 7\/2*c**2 - 8*c. Find the first derivative of b(i) wrt i.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = -m + 29. Let k = -15 - -15. What is the units digit of p(k)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.8393 and 1.\nAnswer: 1.8393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 25 is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 3930 + -3934. Is y at most -0.391?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {u: 12, v: 7}. Give prob of picking 2 u and 2 v.\nAnswer: 231\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m = 4*k + k + 213, 0 = -2*k. List the prime factors of m.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:00 AM and 6:07 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 1293 a factor of 15371184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:05 AM and 2:09 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = 3*p**3 + 12*p**2 - 37*p - 41. What is the tens digit of y(11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-3)\/45)\/(1\/3))\/((-8)\/(-16)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide -37818 by 6303.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = 10*s - 3. Suppose 0 = 3*d + 1 - 7. Suppose a - 6 = -d*a. Calculate the remainder when 50 is divided by l(a).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -843256263*s**2 - 765425371*s wrt s?\nAnswer: -1686512526","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 7 + -2. What is the remainder when 49 is divided by z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = -g**3 + 5*g**2 + 6*g - 7. Let d be r(3). Calculate the highest common factor of 29 and d.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3\/7, -0.4, -0.5, -281, -3.\nAnswer: -281, -3, -0.5, -3\/7, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (6\/(-4))\/(3\/(-6)). Solve -26 = 3*u + 4*f, -l*u + 0*u - 21 = 3*f for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:29 PM and 8:31 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 88*n = -71*n + 134*n + 100 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-4)\/10 - 119\/(-35). Suppose -4*n + 4*z + 57 = -z, 4*n - y*z = 63. Suppose 0 = -88*p + 85*p + 378. Calculate the highest common factor of n and p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 41 and 1707527.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 3\/3 - (81239 + -8). Let n = 1881239 + s. Suppose -2*f - 1050472 - 749543 = 5*k, 2*f + 3*k = -n. What is f rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 455517984?\nAnswer: 2, 3, 47, 100957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 876000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put 33, 4, 5, 0 in increasing order.\nAnswer: 0, 4, 5, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((g**(-1\/11)\/g*g*g)\/g)\/(g\/g**(-2\/39)))\/(g**7)**(28\/5) assuming g is positive.\nAnswer: g**(-86534\/2145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = -5*r**2 - r**3 - 63*r - 6 + 62*r - r**2. Give d(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-4)\/(-10)*-569*(-2 + (-23 - 5)).\nAnswer: 2, 3, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = -2 + 29*p**2 - 26*p**2 - 2*p - 1. Let y be c(-1). Let z = 2 - y. Solve 4*t - 2*f = z, -t = 3*t - 4*f + 8 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x = -4*r - 14 - 7, -2*x + 5*r = -22. Which is smaller: x or 8\/35?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1314918160.\nAnswer: 2, 5, 3001, 5477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 360744 is divided by 837.\nAnswer: 834","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 10436882441 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = -o**2 - 7*o + 9. Let c be f(-7). Suppose 0 = -5*y + 2*k - 38 + 2, 0 = y + 5*k - c. Let a be (-6)\/(-4) + (-143991)\/y. Round a to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 to the power of 1\/3, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1342, 1322, 1302, 1282?\nAnswer: 1262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 64217 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = -s**2 + 5*s + 28. Let a be c(-3). Sort -0.1, -6, a in increasing order.\nAnswer: -6, -0.1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -5, -1.2, 5, 0.3, 3, 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 3 - (4 + 4 + 0)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -387721*f**2*p + f*p - 83*f + 42 wrt f.\nAnswer: -775442*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -5 - 11285020?\nAnswer: -11285025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 4\/61 + -2683\/915. Let y = r - -16\/5. Which is the biggest value?  (a) -0.2  (b) y  (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) be the second derivative of -i**7\/105 + 2*i**6\/15 - 14*i**5\/25 - 4*i**4\/15 + 128*i**3\/15 - 128*i**2\/5 + 890*i. Suppose f(l) = 0. Calculate l.\nAnswer: -2, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = -u - 13. Let f be v(-17). What is the closest to 1.8 in f, 2\/7, -4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 453107 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (24\/(-62))\/((-2952)\/(-492))?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -2*3044\/3*-3. Suppose i + 3902 = 3*x. Round x to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1\/7)\/((11 + -45)\/68).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 205979048 divided by -44.\nAnswer: -4681342","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort -175076, 0, -94.\nAnswer: -175076, -94, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 67887?\nAnswer: 3, 19, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9984 = t + 3*t. Let w = -347 - t. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -25 - -83. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1925\/(-106260)*-276*(-2)\/((-4)\/38)?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -341735 (base 9) to base 15\nAnswer: -409ce","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3*((-42)\/(-9) + -3) + 59\/11.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -3, 0.4, 3, 0.431 in increasing order.\nAnswer: -3, 0.4, 0.431, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = 19*a**2 + 38*a - 22. Let w(y) = -14*y**2 - 26*y + 15. Let k(z) = 5*p(z) + 7*w(z). Give k(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.013127626351 rounded to four dps?\nAnswer: 0.0131","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 19888 + -12760. Calculate the highest common divisor of w and 1320.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1*(2*sqrt(832)*-1 + sqrt(832) + sqrt(832)) + sqrt(832) + -5*(sqrt(832) + 1) + 1)*-1)**2 + 5.\nAnswer: 256*sqrt(13) + 13333","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -341 = -2*h - 3*j, -793 - 46 = -5*h - 3*j. Round h to the nearest ten.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.7 + -0.2. Let j = 0.344 + -0.264. What is the nearest to 1\/3 in -0.3, y, j?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1225 and 98.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.3, 1.27, -0.2, 0.2, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = 25*r**2. Let z(a) = -2*a**2 + 54. Determine n(z(g)).\nAnswer: 100*g**4 - 5400*g**2 + 72900","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 45 and 360?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 576.0555mg to nanograms.\nAnswer: 576055500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 18640 divided by 135.\nAnswer: 3728\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = 3*l**2 - 4*l + 16. Calculate h(6).\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = w - 3. Let f be a(8). Solve -4*x - 11 = f, x + 10 = 3*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = d**2 + 8*d + 7. Suppose 0 = -7*s + 2*s - 30. Give i(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 0.1, 10, 3, -1\/5 in ascending order.\nAnswer: -1\/5, 0.1, 1, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -473621*n**2*r*u**2 - 125*n**2*r*u - 3*n**2*r + 3343*n*r*u wrt u.\nAnswer: -947242*n**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-380)\/(-32) + 1*-6 + -6?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -5.1 + 5.04. Let p = -6 - -5.89. Let q = 0.01 + p. Which is greater: m or q?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 11 + 1\/(2 + -1). Let z = 10 - y. Let m be z + (-50)\/(-8) + -4. Sort m, -0.1, -3 in decreasing order.\nAnswer: m, -0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 9 - 10. Does 12 divide -8*(m + -5 + 3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f + 903 = 5*a + 243, 0 = -5*f + a - 804. Suppose -340 = 4*n - 5*x, 5*x + 85 = -2*n + n. Let b = n - f. What is the tens digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-8)\/66)\/(6792\/(-9339)) + 5\/18?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 = 4*w - 2. Suppose -4 = w*j + 3*m, -4 + 6 = -j - m. What is the lowest common multiple of j and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.3365849 rounded to 3 decimal places?\nAnswer: -0.337","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -h**2 + 30*h - 58. Let z be t(13). Suppose 5*g - z = 2992. What are the prime factors of g?\nAnswer: 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 105229 + -105229.093539. Let a = 0.093 + v. Round a to 5 dps.\nAnswer: -0.00054","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = -i**2 + 2*i. Determine m(-5).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -64\/988425 and 94\/34155.\nAnswer: 32618025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (-1)\/(-2) + 47\/(-11) and 20\/90*84\/32.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 822241?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = -913*w - 843. Determine k(-1).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (12\/40)\/(-1*(-6)\/8).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x + 10 + 2 = 0. Let z be (-64)\/(-11) + x\/(-33). Let u = 6 + -5.5. Which is the third biggest value?  (a) u  (b) -0.1  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3418 divided by 433\nAnswer: -3418\/433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -1959521, -3919070, -5878617, -7838162, -9797705, -11757246?\n\"Answer: k**2 - 1959552*k + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2967703?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 a and 1 w when two letters picked without replacement from {m: 1, a: 2, q: 1, w: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 501 (base 6) to base 16\nAnswer: b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 53\/(-30) - (-22)\/(-55) and (-54)\/16*(-78)\/(-1287).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-9 + 0)\/((-6)\/(-4)). Let r = 364 + -368. Sort r, m, -1 in increasing order.\nAnswer: m, r, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3b (base 16) to base 14\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 195024673 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -2 + 332330131100?\nAnswer: 332330131032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t - 33 = -7*x + 4*x, 3*t + 9 = 4*x. Suppose 4*l - 22 = 24*j - 23*j, -j + 32 = 5*l. Sort j, -4, x in descending order.\nAnswer: x, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -210818 - -210806.6161. Let o = 11.4 + v. What is o rounded to 3 dps?\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2161, -1\/6, 4.\nAnswer: -2161, -1\/6, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*b = 2*g - 411180 - 158090, 4*b = -12. Round g to the nearest one thousand.\nAnswer: 285000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2036?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 264 and 649?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when -9 + 1 + 108 - 9 is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 117, -247116, 1, 5 in descending order.\nAnswer: 117, 5, 1, -247116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + ((2 + (1 + sqrt(38)\/sqrt(2) - (-2*sqrt(19) + 2 + sqrt(19))))*4)**2.\nAnswer: 64*sqrt(19) + 1231","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u - 5*y = 4*u + 90, 4*u = -3*y - 69. Suppose n + 16 = 4*t - 0*t, 4 = 4*t. Let k = u - n. Put 4, k, -1 in descending order.\nAnswer: 4, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -38814 - -12886197\/332. Find the common denominator of q and -12\/1577.\nAnswer: 6308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 6\/2 + 0 + (-6)\/2. Solve 0 = -m + 4*o - 2, 2 = 3*m - 4*o - r*o for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (120\/24*1\/5)\/(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10 - 1110110011001110101?\nAnswer: -1110110011001110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1.9 - -13.9. Let t = 610 + -610.1. What is the nearest to t in 2\/3, k, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 686, 699, 708, 713, 714, 711, 704?\nAnswer: 693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(-2 + (sqrt(475) + ((sqrt(475) + 1)**2 + -2 - sqrt(475)) - 1*(sqrt(475) + 2*sqrt(475) + sqrt(475) - sqrt(475))**2)) + 5.\nAnswer: -30*sqrt(19) + 11414","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 463 + -455. Calculate the common denominator of 4335\/(-1512) + 3 - v\/28 and 75\/16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor s**4 - 580*s**3 - 7117*s**2 + 7696*s.\nAnswer: s*(s - 592)*(s - 1)*(s + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 60527013, 60527018, 60527011, 60526986, 60526937, 60526858, 60526743?\nAnswer: 60526586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1992.35 rounded to the nearest ten?\nAnswer: 1990","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1 + 0 - (8 - 11)) + 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 g and 2 a when three letters picked without replacement from aaggggaggggagggpag.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 101802934?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 22 + -20. Let i be 12\/(-183)*l\/8. Let t = i + 137\/915. Which is the closest to -0.1?  (a) t  (b) -5  (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (0 - 5) + 4 + 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (-8 + 1 + 4)*(153 + 157 - 316)*(-3*v + 6*v + v)*(-1 + 1 + 2*v) as t*v**2 + f*v + g and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 956923?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round 42762.7363 to the nearest integer.\nAnswer: 42763","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in twenty-seven quarters of a micrometer?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 84360 divided by 57.\nAnswer: 1480","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 693694862, 693694864, 693694866, 693694868?\n\"Answer: 2*z + 693694860","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 96.6521ml to litres.\nAnswer: 0.0966521","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -999 - -1806. Let p = 823 - h. Calculate the remainder when 116 is divided by p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2070)\/78 + -54 + 81.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-20)\/5*1\/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 u when three letters picked without replacement from {u: 1, i: 2, s: 4, w: 2, y: 1}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*p + 16*p - 16 = 0. Solve p*x = -3 - 5 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 11 + 21. Let h = -22 + b. Does 5 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2422133334 (base 5) in base 14?\nAnswer: a75447","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from zqkikkkkkikkkiirkqik. Give prob of sequence riiq.\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-2 - 3 + 6)*(r - 4*r + 2*r) - 58*r + 154 + 15*r + 41*r)*(2*r**2 - 12*r**2 - 5*r**2).\nAnswer: 45*r**3 - 2310*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4)\/(-34) - (-2392)\/(-5304).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/4 of a millisecond in microseconds?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 + 0 = 2*s. Let r be (-2)\/((-1)\/(1 + s)). What is the third derivative of -3*y**5 - r*y**2 - y**5 - 2 + 2 wrt y?\nAnswer: -240*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -32, -44.\nAnswer: -44, -32, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 448804051?\nAnswer: 448804051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 3, -4\/5, -2\/3, -11, 0?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2303, 6390, 14067, 27128, 47367, 76578?\nAnswer: 116555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 411339 = -641*q + 6551*q + 142884 - 452565 for q.\nAnswer: 122","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 2b + 5?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -4 + 11.5. Let h = -14.7 + i. Let s = 1.7 + h. Round s to 0 decimal places.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 131 - 46. What are the prime factors of j?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -4453762, -4453788, -4453814, -4453840?\nAnswer: -4453866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 183372 and 3036516.\nAnswer: 3108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 444.63 rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = 6*i + 109. Let m be w(-16). Suppose m = -2*y + 23. Let q = 89 + -49. Calculate the highest common factor of y and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4 + 1265804*z - 1265812*z - 4.\nAnswer: -8*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -2001000111202 (base 3) in base 9?\nAnswer: -2030452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 37\/5 of a milligram in micrograms?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = 3*v**2 + 6*v + 3. Let d be u(-2). Suppose -6 = -2*j - k + 20, -3*j - d*k = -39. Calculate the smallest common multiple of 5 and j.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1712178 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = c**3 - 15*c**2 + 62*c - 142. What is j(10)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round 429340.5 to the nearest 100.\nAnswer: 429300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -32 - -34. Suppose 4*y = -x + d, -4*y + 2*y = x - 6. Solve 5*f + 4*r + 5 = -x, 0 = -3*f - 5*r - 9 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (2\/(-1))\/((-139)\/(66025\/(-50)))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express -1185 + 31*l + 1185 + (3 - 6 + 4)*(3*l + 4*l - 5*l) in the form u + f*l and give f.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*k - 3*k + 5*k)*(2 - 1 + 1) + (-2*k - k + 4*k)*(-1707 + 176 - 5)*(0 - 2 + 1).\nAnswer: 1540*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 12983?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 19 a factor of 204?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5692134 divided by -3.\nAnswer: -1897378","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) be the first derivative of v**6\/30 + 23*v**5\/25 + 163*v**4\/20 + 361*v**3\/15 + 32*v**2 + 20*v - 288. Suppose i(m) = 0. What is m?\nAnswer: -10, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -14*((-40)\/70 + (-2)\/(-7)). Suppose -t + 900 = z*t. Does 15 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -30*g = 7*g - 1036. Which is smaller: 45 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 5, i: 7, h: 3, v: 1, b: 2, g: 2}. Give prob of sequence yg.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = 7*d - 2. Let x be (20 - 19)*3*8\/6. What are the prime factors of y(x)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dh when two letters picked without replacement from {h: 1, d: 2, s: 4, q: 4}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 232339 and 323.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 8 - 5. Suppose 0 = -n*l + l. Suppose 2*x = -l*x + 8. Solve 0*t = x*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 2\/(-16)*(-6 - 2). What is the closest to -0.1 in h, -5, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express m - 3*m + 8*m + (3*m + m - 3*m)*(-1 + 1 + 2) in the form p*m + i and give p.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = -n. Let t(p) = 94012570*p. Determine k(t(o)).\nAnswer: -94012570*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-6 - -5)*(16 - -1). Let x = 0 - t. Solve 2*q = 3*d + q + 8, 2*q + x = -5*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = 2*o + 12. Determine j(19).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m\/m**3)\/m*m**2*m**(1\/9)\/(m\/(m**(-1\/4)\/m)) assuming m is positive.\nAnswer: m**(-113\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 761611890?\nAnswer: 2, 3, 5, 13, 1952851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5405.\nAnswer: 5, 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (16\/6)\/(10\/(-15))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1200 = 1166*g + 13958 for g.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 212 - -30000?\nAnswer: 30212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 4 + 6. Let v = 40 + r. Let b be v\/(-16)*30\/(-75). Sort 4, 2, b in decreasing order.\nAnswer: 4, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*q - 3*i = -0*q - 5, 2*q - 2 = 4*i for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 353 a factor of 667170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3208, 3826, 4452, 5086, 5728, 6378, 7036?\nAnswer: 7702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 1145 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 22 smaller than -560?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -13 - 14101445?\nAnswer: -14101461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 4\/(-5 + -11)*-16. Suppose 4*w - 10 = -m, -3*w + 2*m + 0*m + 13 = 0. Suppose 8*i + w*t - 10 = j*i, -3*i - 2*t = -7. Solve q + i = 4 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17 + 27 = 2*a. Let y(f) = 7*f - 9. Let h be y(6). Let g be 4\/a + 159\/h. Solve g*j - j - 20 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1342434, -2684858, -4027282, -5369706, -6712130, -8054554?\nAnswer: -9396978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Add together -2054 and -3678579.\nAnswer: -3680633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 2*m - 3 + 0)*(2*m + 12 + 6*m - 7*m).\nAnswer: 2*m**2 + 20*m - 48","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 4\/(-14) + (-8)\/(-28). Suppose -4*k - 6 + 26 = r. Let o = 0 - -0.1. Sort k, 0.4, o in ascending order.\nAnswer: o, 0.4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(468)*-2 + 3 + sqrt(312)\/((1*sqrt(72))\/sqrt(12)) + 5.\nAnswer: -10*sqrt(13) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c + 12 = 4*i, 2*i + 3*i - 6 = -4*c. Suppose 2*v + 2 = 3*v, -6 = i*l - 3*v. Factor 1 - 2*o**2 + o**2 + l*o**2 + 0*o**2.\nAnswer: -(o - 1)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_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: What is -1125 divided by 1431?\nAnswer: -125\/159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from elpdlllrrreelplddlr. What is prob of picking 3 e?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -6 - -2. Let l = -251 - -214. Let b = m - l. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.95 + -0.05. Let s = 0.007 + -4.007. Sort -2\/11, c, s.\nAnswer: s, c, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -96 or -189\/2?\nAnswer: -189\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*f + 4 + 660*f**2 - 518*f**2 - 1871*f**2 - 4 - 2 to the form o*f**2 + k*f + d and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*k = -19401 - 19149. Does 44 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 458774192?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round -985.2638 to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = -b**2 - 8*b - 3. Let j be q(-7). Suppose -5*c - 3*h = -j*c + 6, c + 4*h + 9 = 0. Suppose -c*s = -64 + 16. Solve 2*y + s = 6*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 9146252 by 315388.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -53 + 48. Let c be 1*-6 + i\/(-5). Let w be 1*(-12)\/(-32)*-2. Put c, w, -0.3 in descending order.\nAnswer: -0.3, w, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g\/g**(-3))\/g**(-2\/5))\/(g**1*g)**(-2) assuming g is positive.\nAnswer: g**(42\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 1, -2, 15, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 11\/10217 and -13\/3005.\nAnswer: 51085","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 138565701?\nAnswer: 3, 193, 26591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22*q + 8 = -80. What is the derivative of 4*p - 170*p**3 - 8 - 2*p**q - 4*p + 181*p**3 wrt p?\nAnswer: -8*p**3 + 33*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 130 = 4*n + 174 for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 8747154?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = -2*k**3 - 168*k**2 + 167*k + 79. Determine v(-85).\nAnswer: 334","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (2\/12)\/(23\/92). What is the nearest to v in -53, -4, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from gnnnnnngnggnggng. Give prob of picking 1 n and 2 g.\nAnswer: 27\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1450438?\nAnswer: 2, 11, 65929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) be the third derivative of -k**5\/60 - 11*k**4\/12 - 7*k**3\/2 + k**2 + 22. Let t(g) = 0. Calculate g.\nAnswer: -21, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-12)\/(-11))\/(14\/77).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = -4*o**2. Let t(k) = k. Let w(f) = -2*f. Let b(s) = -5*t(s) - w(s). Determine m(b(q)).\nAnswer: -36*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -449*x = -8865 - 4156 for x.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -15023 + 15029. Let h = -1 + 11. Solve -h*n - t = -12*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 4 + -14?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 12 and 156?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -5305026, -5305011, -5304996, -5304981, -5304966?\n\"Answer: 15*r - 5305041","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = 2*z + 71. Let a(u) = -2*u - 73. Determine 4*a(m) + 3*t(m).\nAnswer: -2*m - 79","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) be the second derivative of -x**3\/3 + 27*x**2\/2 - 3*x + 14. Let q(p) = 4*p. Calculate q(b(n)).\nAnswer: -8*n + 108","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find s, given that -315*s**3\/2 + 1532*s**2 + 141781*s\/2 + 69201 = 0.\nAnswer: -5126\/315, -1, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(((5 + -1*sqrt(245) - sqrt(245) - (-5 + 2*sqrt(245) + sqrt(245))) + (-3 + sqrt(245) + -1)*-5)**2 + 3)*4.\nAnswer: -84000*sqrt(5) + 508060","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = -4*w**2 + 9. Let l(c) = 73*c**2. Determine l(u(o)).\nAnswer: 1168*o**4 - 5256*o**2 + 5913","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round 1407127920 to the nearest 100000.\nAnswer: 1407100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = -o**2 + 20*o - 13. Is k(19) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cb when two letters picked without replacement from ccmb?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.9847501 nanometers to kilometers.\nAnswer: 0.0000000000009847501","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -19051 in 0.06, 2, 5, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -84*q**2 - 38*q + 88*q - 50*q + 0*q.\nAnswer: -84*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {j: 2, z: 2, x: 7, l: 1}. Give prob of sequence jlx.\nAnswer: 7\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-five quarters of a tonne in kilograms?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0 + -1. Let q = w - -3. Suppose a**2 + 0*a + 4*a + a**q = 0. Calculate a.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from {z: 8, k: 3}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) be the third derivative of -r**6\/60 - r**5\/6 - 2*r**4\/3 - 4*r**3\/3 + 8*r**2. Solve l(z) = 0 for z.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d - 24 = -3*g, d = 2*g + 2*d - 7. Suppose -g*p - 22 = -7*p. Let j(t) = t**2 - 11*t - 1. Let c be j(p). Let b(l) = -23*l**2 - 2*l - 1. What is b(c)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -4*f, 0 = -4*z - f + 253 + 100. Let n be (2 - 47) + 1 + -1. Let k = z + n. What are the prime factors of k?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-731)\/34)\/(1\/(-4)). Let z = 93 - m. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 19, 3, 4, 0 in increasing order.\nAnswer: 0, 3, 4, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 y and 1 s when four letters picked without replacement from ssyyssyvysssysyyyyy?\nAnswer: 80\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = z**3 - 9*z**2 + 10*z - 12. Let y be s(8). Let w(x) = 6*x + 15. Let h be w(y). Let p = h + -27. What is the remainder when 23 is divided by p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 57634814?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/4?  (a) 0.3  (b) -5  (c) 4  (d) 99\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -264 + 276. Let f(l) = -l + 13. What is f(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 81213568?\nAnswer: 2, 89, 7129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 2*1*(-21)\/(-14). Let j = 1 - -2. Solve 4*g + j*k - 2 = 2*k, -5*g = u*k - 6 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1 - 1101?\nAnswer: -1100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = s**3 - 412*s**2 - 31449*s + 6541. Calculate h(-66).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Does 114 divide 3642116139?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 3 + -2. Let q = 33 - v. Calculate the highest common divisor of 8 and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3270 is divided by 80.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p + 60 = 4. List the prime factors of (3 + -5)*(-35)\/p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 664 and 664?\nAnswer: 664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(-1\/5))**21*(c*c\/(((c*c*c*c**(4\/5))\/c)\/c)*c*c)\/(c\/c**(3\/10)*c) assuming c is positive.\nAnswer: c**(-37\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1991 is divided by 105?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2040804*g**4 - 1643369*g**2?\nAnswer: -48979296*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 60\/18*18\/4. Suppose -50 - 70 = -3*z. Let m be 68\/z - 3\/x. What is the nearest to 0 in 1, -0.2, m?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 108.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 315 minutes before 3:22 AM?\nAnswer: 10:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: (-18)\/(-4)*(92\/3)\/(-23)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {w: 4, b: 10}. What is prob of picking 2 w and 2 b?\nAnswer: 270\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 221522 + -1205?\nAnswer: 220314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 787 - 790. Which is the nearest to f?  (a) -5\/6  (b) 11  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (63\/30*8\/14)\/((-38)\/(-95))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -107 - -112. Calculate the smallest common multiple of 354 and j.\nAnswer: 1770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify f**(-2\/9)\/(f*f*f\/((f*f**2\/f*f*f*f)\/f)*f) assuming f is positive.\nAnswer: f**(-2\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 41, 111, 235, 419, 669, 991?\n\"Answer: n**3 + 21*n**2 + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 866 is divided by 612?\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is (-59580)\/993*-1*(14\/(-6) - -2)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -42 + 77. Let u = -33 + h. Solve -21 = 5*n - 2*k, 3*n - u*n - 5*k = 5 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = c + 13. Let a be b(-7). Suppose -s - a = -4*s + h, s = 5*h + 2. Suppose -92 = -3*l + s*w, 0*w + 2*w = -4*l + 146. List the prime factors of l.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 10099889?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 2077 a factor of 166156503?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {p: 1, r: 1, c: 1, s: 2, t: 1, l: 1}. Give prob of picking 1 s, 1 p, 1 l, and 1 c.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = -2*j**2 - 6*j - 2. Let c be i(-4). Let k = c + 14. Suppose k*n - 3*n = -2*z - 9, 0 = 2*n + 2. Let a(m) = m**3 + 4*m**2 + m - 1. Calculate a(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = 2*p + 1. Let u(o) = -o. Let c(i) = r(i) + 4*u(i). Let x = -5 - -10. Suppose 18 = -x*q + 43. Let t(g) = -3*g + 1. What is q*c(v) - 3*t(v)?\nAnswer: -v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-5 - (-98)\/21)\/((-4)\/60). Solve -u*k + q + 2 = 0, -3*q - 10 = 5*k - 4 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -55*p - 380 = -17*p. Suppose 0 = -4*k - 13 + 1. Let o(b) = 5*b - 5. Let t(w) be the second derivative of -8*w**3\/3 + 8*w**2 + w. Give k*t(y) + p*o(y).\nAnswer: -2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 25 + -17. Suppose 4*g - 3*g - q = 0. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -92 - -91. Put 1\/2, -2, -3, j in decreasing order.\nAnswer: 1\/2, j, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 645275787 to the nearest integer?\nAnswer: 864","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w - 4*w = -15. Suppose 0 = w*h - 0*h - 57. Solve 0 = 3*n - 3*t, 5*n + 3*t - h - 21 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) be the first derivative of -3 + 8*n + 1\/2*n**2. Does 5 divide c(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 151929 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m - 10 = 2*g - 7*m, 0 = -2*g + 5*m - 15. What is the remainder when 13 is divided by g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z + 15 = 2*b, -3*z - z = 3*b + 3. Let j be (9 + 2)*3\/z. Let g = j - -16. Is 5 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -1464, -1460, -1446, -1416, -1364, -1284, -1170?\n\"Answer: k**3 - k**2 - 1464","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 181 is divided by 48?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 18\/10 - 2 - (-28)\/40.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.1, 2, 0.08, -0.7, -9.\nAnswer: -9, -0.7, -0.1, 0.08, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 760240 - 760240 - 23*x.\nAnswer: -23*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 105023054.\nAnswer: 2, 83, 632669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = n + 1. Let y(i) = 3*i**2 - 2*i - 2. Let w be y(2). What is k(w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2321 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 103929?\nAnswer: 3, 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 12976 - 7403. Let x(j) = 491*j**2 + 4*j + 1. Let b be x(4). Let n = w - b. What is n rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 305 minutes before 3:21 AM?\nAnswer: 10:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = w + 10. Let x be (14\/8)\/((-5)\/20). Let l be v(x). Suppose -3*m = -9 - l. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1957 + -1378. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = x**3 - 3*x**2 + 2*x + 1. Let j be r(3). Let t = -5 + j. Solve -a + 10 = 4*v, -2*a + 7 - t = 3*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 3\/2, -1\/4, 2\/7, 104\/9?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Divide -4194 by -6.\nAnswer: 699","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000283 rounded to 5 dps?\nAnswer: -0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 w and 1 f when four letters picked without replacement from wvwjwffwv?\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put together -0.3 and 22944263562.\nAnswer: 22944263561.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 168.31 - 166. Let u = f - 1.71. Which is the nearest to 1?  (a) -2\/9  (b) u  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find w such that -18*w**5\/5 - 6614*w**4\/5 - 60328*w**3\/5 + 190216*w**2\/5 - 17184*w = 0.\nAnswer: -358, -12, 0, 5\/9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*a - 3*a + a**3)*(45*a**2 + 2*a - 419*a**2 - 1003*a**2 - 2*a).\nAnswer: -1377*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1 + -6. Suppose -3*c - c = 12. Let o(p) = p**2 + 4*p + 4. Let n be o(c). Sort n, 0, h in descending order.\nAnswer: n, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.5  (b) 1.3  (c) 26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1135 - -1136. Let a = 8 + -9. Let p be 12\/(4 + a) + 0. Solve d = -j + p for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 280\/2341 and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(-17))**(2\/67)\/(y*y**(-31)*y\/(y\/(y\/y**(-31)*y))) assuming y is positive.\nAnswer: y**(-235\/67)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 67 + -66.963. Round i to 2 decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*p**2 - 5 + 5)*((-2 + 0 + 4)*(-3*p**2 + 3*p**2 - p**2) + 3*p**2 - 2*p**2 - 4*p**2 + 4*p**2 + 4 - 4).\nAnswer: 2*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (-5 + -2*sqrt(192))*-3*2 + 3.\nAnswer: 37 + 96*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = 4*p**3 - 3*p**2 - 8*p - 3. Let v(w) = 3*w - 20*w + 1 + 9*w**3 - 8 - 4*w**2 - 3*w**2. Let l(j) = 13*a(j) - 6*v(j). Calculate l(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -462*a**2*j**3 - 1330*a**2*j**2*w - 32*a*j**3 + 2*a*j - 1334*w + 1 wrt a.\nAnswer: -924*j**3 - 2660*j**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r**(-4))**(1\/4)\/(r**6\/r*r*r\/r**(-1\/3)))**(-41) assuming r is positive.\nAnswer: r**(1025\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 q and 2 y when four letters picked without replacement from {q: 7, y: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -1\/13  (b) -6574  (c) 4\/7  (d) 0.5  (e) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: (-12 + 1)\/((-13038)\/65190)\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -i - 2*j + 17, -4*i - j + 71 = -18. Is (20\/(-8)*-5458)\/(i\/23) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -11425, -22725, -33983, -45181, -56301, -67325, -78235, -89013?\nAnswer: -99641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1519030 or -1519033?\nAnswer: -1519030","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = 93*o**3 - 5*o**2 - 2*o + 8. Let k(c) = -280*c**3 + 14*c**2 + 6*c - 23. Let y(t) = -6*k(t) - 17*w(t). Is 25 a factor of y(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 30 - 34. What is the third smallest value in -3, l, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 169169 and 693.\nAnswer: 1522521","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 4, -5, 0, -1\/7, 6\/23?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3\/5)\/(((-19118)\/660)\/(-79)).\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -48.798 + 117.767. Let b = w - 69. Round b to two decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from yyyyyyyyayyyyyyyyyyy. What is prob of picking 3 y and 1 a?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 958986 divided by 53277.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put -19, -2, 181 in decreasing order.\nAnswer: 181, -2, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = 11*w + 4 - 11*w + 5*w**2 - 2*w. Let r be b(-2). Let h be 44\/10 - 2\/5. What is the greatest common factor of h and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 805242 + 20140 + 528330 = 122*w. What are the prime factors of w?\nAnswer: 2, 19, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) be the first derivative of 0*a + 5\/3*a**3 - 3*a**2 - 4. Is h(7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-8064)\/(-336)*((-32)\/88)\/(-4)*1\/(-1)?\nAnswer: -24\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ywwzhwhyyewzzwwhhwh. Give prob of picking 1 e, 1 w, and 1 y.\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 9 - 4. Suppose 5*z + 6*h - 3*h = 309, 4*h = x*z - 288. 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: Let o(a) = 14*a**2 + 4*a - 14. Let j(x) = -5*x**2 - x + 5. Let h(v) = -17*j(v) - 6*o(v). What are the prime factors of h(8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-740)\/6*21\/(-2). Let z = p - 154. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 483787 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put -214512\/5, -0.09, -5 in increasing order.\nAnswer: -214512\/5, -5, -0.09","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -121, -189, -367, -709, -1269?\nAnswer: -2101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 11534736, 46138962, 103812674, 184555872, 288368556, 415250726, 565202382?\nAnswer: 738223524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -53\/9513 and -4\/32163.\nAnswer: 675423","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 1 + 1 - (-5 + 7). Which is bigger: t or 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = 4427*v**2 - 36*v + 210. Is r(7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -2 - -5. Let r**g + 2 - 7*r**2 - 2*r - 2*r**5 - 2*r**3 + 5*r**3 + 3*r**2 + 2*r**4 = 0. What is r?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -6 + 10. Let o = 2\/167 - -485\/1336. Let z = 964 - 963.9. Which is the nearest to -2\/3?  (a) o  (b) j  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6064 divided by -4?\nAnswer: -1516","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 3.5 * 15\nAnswer: 52.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = -5*j**2 - 71486*j + 71485. Determine x(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 4 + -3. Suppose 2*p = -u + 7. Suppose -a + 3 = -p. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14 = 2*l + 3*q - 26, -3*l + q + 29 = 0. Solve 5*b - l*b = 12 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = -a - 18 + 18. Let g(i) = -i**2 + 7. Let k(d) = d**2 - 6. Let m(n) = 6*g(n) + 7*k(n). Determine m(r(x)).\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w*w**31\/w)**(9\/13)\/(w*w**(2\/9)*w)**(6\/19))**(-20) assuming w is positive.\nAnswer: w**(-307660\/741)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 120439894.\nAnswer: 2, 60219947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: (-2)\/6*(-10 - -25) + 12\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = -6*d**3 + 31*d**2 + 57*d - 325. Determine z(5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 979 is divided by 190?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 2 - 1)*(16*v + 4*v + 49*v)*(7 + 1 + 1)*(-2*v**4 - 2*v**4 + 3*v**4).\nAnswer: -621*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -8\/645 - -48487\/9030. Let m = -28 + 13. Find the common denominator of 1374\/660 + 6\/m and s.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2)\/(-3))\/((-12)\/45)*(-36)\/(-180).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 800 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(68) + -1)*-6)**2 + 5 + (sqrt(153)\/sqrt(9))**2 + 5 + 1*sqrt(17) + -5.\nAnswer: -143*sqrt(17) + 2506","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -m + 21 = -4*c, -c + 2*m = 4*c + 27 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/(-1)*-1*(293706\/84)\/111.\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -3 + 548\/168 + 6\/(-12) and (1\/(-7))\/((-48)\/708).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -59649*k + 76 = -59575*k - 146 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -294.252 rounded to the nearest integer?\nAnswer: -294","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 571816 and 2744?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -5 - -7. Let n(j) = j. Let l be n(2). Suppose -l*t = -2 - b. Solve 4*z + 8 = -t*v - v, 3*v - 3*z = 6 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 135.052 + -71.921. Let g = -0.131 + f. Let q = -62.9704 + g. What is q rounded to three dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (10 + (-4)\/2)*1 is divided by (49\/(-4) + 11 + 1)\/(2\/(-24))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -4213*d**2 + 212*d**6 + 18*d**6 + 3736*d**2 + d**5 wrt d.\nAnswer: 27600*d**3 + 60*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = 5 - r**3 + 1 - 152*r + 14 - 10*r + 27*r**2. Let y be s(15). What is the highest common factor of 58 and y?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -3 + 41. Does 19 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = v**2 + v - 1. Suppose -12 = 12*j - 15*j. Let r(l) = l**3 - 5*l**2 - 5*l + 5. Calculate j*r(s) + 20*w(s).\nAnswer: 4*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -4 in -0.5, -2\/9, 0.26, 0.1, 5\/6, -5\/1698?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o**(-3)\/o**(-2\/21))\/(o**(1\/5)\/(o\/(o*o**6))))**35 assuming o is positive.\nAnswer: o**(-956\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 39 + -9. Calculate the greatest common divisor of 6 and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 40, 83, 126, 169?\n\"Answer: 43*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -4 - 3. Let u = l - -7.3. Let z be 64\/96*6\/34. Which is the closest to 0.5?  (a) u  (b) -0.5  (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-11*o + 22*o - 5*o)*(-1 - 1 + 4 + (1 + 1 - 1)*(-5 + 2 + 2) + 1 + 1 - 4) as c + h*o and give h.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort -25, 10, 0.23, 2\/4135 in descending order.\nAnswer: 10, 0.23, 2\/4135, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 3 - (2949\/(-82) - (-42822)\/1098)\nAnswer: -3\/82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((h\/(h*h*h*h*h\/(h*h**11*h)*h))\/(h\/(h**(-33)\/h*h)*h))**(-13\/5))**(-28\/9))**(-1\/33) assuming h is positive.\nAnswer: h**(364\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 4409221 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5437*n**3 - 9631*n**3 - 2399*n**3.\nAnswer: -6593*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from tegtxg. Give prob of sequence ttg.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*k + 2*k + 48. Suppose 0 = -3*d + k, -4*c = -c + d - 16. What is the highest common divisor of 4 and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m = r - 0*m - 5, 2*m - 4 = 0. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/5?  (a) 3\/73  (b) -2\/9  (c) 117  (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 2\/7, 0, -0.208, -0.1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 3.7 - -2.4. Let r = s + -6.5. Let f be (-2 - 1)\/((-15)\/(-21)). Which is the third smallest value?  (a) f  (b) 0.4  (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 313136 to the power of 1\/5, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.03 from -41032502.\nAnswer: -41032502.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0003319352471 rounded to six decimal places?\nAnswer: 0.000332","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put 26, -7, 6, -14, -41, 4 in increasing order.\nAnswer: -41, -14, -7, 4, 6, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 37014 is divided by 9155?\nAnswer: 394","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 192 and 72.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = -3*l**2. Let q(i) = 42*i + 4. Let v(z) = 45*z + 1. Let x(j) = 2*q(j) - 3*v(j). Give r(x(c)).\nAnswer: -7803*c**2 + 1530*c - 75","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 687 + -870. Let k = -63 + -8. Let u = k - d. Calculate the highest common divisor of u and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 470 - 1406\/3. What is the nearest to 1 in q, 0, -7?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -14*o**3 - 1812*o**2 + 7272*o\/7 - 1040\/7.\nAnswer: -2*(o + 130)*(7*o - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f\/(f\/f**(-15))*f)\/(f**(-4)\/f*f*f)*(f**(4\/7)*f)**(-2\/11) assuming f is positive.\nAnswer: f**(-79\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -29*m + 41*m - 48 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put together 19715.7234 and 2443.\nAnswer: 22158.7234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) 1  (b) 7  (c) 11\/460  (d) -1\/3  (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -1183373584 divided by 4?\nAnswer: -295843396","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 9 + 2*b**2 + b**3 - 10 + 0*b**3 to g*b + m + h*b**3 + f*b**2 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 44 - 36. Solve -25*g - b = -23*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {p: 1, m: 2, j: 2, b: 1, z: 1}. Give prob of sequence bbzb.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand -1 + 1 - 7*d**3 + (3*d**2 + 2*d - 2*d)*(d + 1 - 1) + (d**2 - 3 + 3)*(0*d + 2*d + 0*d).\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -7 + 10. List the prime factors of 54\/q + -3 + 0.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y - 155 + 104 = 0. Let q(v) = 47 - v**3 + 2*v**3 + 4*v**2 - y. What is q(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 143356 - 143248. Let h = -37 - -19. Calculate the smallest common multiple of (1*h)\/(2\/(-2)) and r.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -72 + 1218*c**3 - 81*c + 66 + 6 wrt c?\nAnswer: 7308*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 111 (base 5) to base 11\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -21603*b**4*r + 13*b*r**3 + 146812*r**3 wrt b.\nAnswer: -86412*b**3*r + 13*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r = 4*j + 3, 3*j = -j + 4. Suppose r*d - 3*d + 5904 = 0. Is 3 - d\/3 - -4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*(1*sqrt(133)*-4 + sqrt(133)))\/(-3*sqrt(700)*-3 - sqrt(700)))**2*5.\nAnswer: 171\/1280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = 6*z + 24. Let n be d(0). Let v = 11 + -6. Let m = n - v. List the prime factors of m.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -362400 to the nearest ten thousand.\nAnswer: -360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gapv when four letters picked without replacement from {g: 1, r: 1, a: 2, v: 1, p: 5}?\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 190720343 to the nearest integer?\nAnswer: 13810","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 603750167 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = 103*l**2 + 86*l + 516. What are the prime factors of y(-6)?\nAnswer: 2, 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1.08 and -0.084617.\nAnswer: 0.09138636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -55 - 325 = -10*s. Calculate the greatest common factor of 494 and s.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) be the third derivative of -311*v**7\/30 - 2581*v**5\/60 - 2782*v**2. What is the third derivative of b(w) wrt w?\nAnswer: -52248*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 1\/5 of a millimeter?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -5 or -46\/13?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -10101000 (base 3) in base 7?\nAnswer: -10110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: ((-11609)\/1287 - 1) + 22 - 12\nAnswer: -2\/99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -1303692 divided by 6\nAnswer: -217282","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-63)\/14*(-14 + 2). Let k = o + -272\/5. Let h(w) = -w**2 + 1. Let s be h(-1). What is the third smallest value in s, k, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 105244 is divided by 33960.\nAnswer: 3364","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -153.94508 + 1.15908. Let y = 9 + -162. Let h = y - q. What is h rounded to one dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 612 minutes after 11:13 PM?\nAnswer: 9:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = 20*r**2 - 4. Let y be p(3). Let u = y + 57. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = 1 + 3*g**2 + 3*g**2 + 1 - 5*g**2. What is the tens digit of o(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is m in 2*m**3\/3 - 1348836*m**2 + 18883606*m - 198277520\/3 = 0?\nAnswer: 7, 2023240","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 240 = 24*w + 72 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i\/i**(-3\/2))**(23\/2)\/(i\/(i**(-5)\/i))**(-23))**(-47) assuming i is positive.\nAnswer: i**(-35673\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 44617 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 5682?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -833 - 487 = 15*y. Let h = 353\/4 + y. Sort 4\/11, -5, h, -0.2.\nAnswer: -5, -0.2, h, 4\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -376dd (base 15) in base 5?\nAnswer: -21131213","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/11?  (a) -28  (b) -1\/2  (c) -4  (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = -2*i**3 + 38*i**2 + 38*i - 12. Calculate the smallest common multiple of 10 and q(18).\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -11 in 1\/7, -0.4, -5.8, -0.3?\nAnswer: -5.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 238 minutes before 9:01 PM?\nAnswer: 5:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1421.21*-0.3.\nAnswer: -426.363","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 2110099 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) be the first derivative of k**3\/3 - 2*k + 10. Let f be n(6). Suppose -2*g = f - 14. Sort 3\/5, g, -2 in increasing order.\nAnswer: g, -2, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 585982 or 257?\nAnswer: 585982","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) be the second derivative of 5*m**7\/42 + m**4\/3 + 9*m. Find the third derivative of p(j) wrt j.\nAnswer: 300*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*t - 26*t - 264 for t.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 170741906?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 29 - 29. Suppose -12 = -3*g - m*g. What is the smallest value in 0.4, -2\/9, g?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-22)\/(-88) + -2*(-151)\/8. What is the second smallest value in 0.3, -2\/5, 0.2, z?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (12\/140)\/(((-2)\/(-6))\/((-135)\/81)).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.8, -3\/7, -10, 21, -7, 645 in ascending order.\nAnswer: -10, -7, -0.8, -3\/7, 21, 645","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 92.98143 meters in millimeters?\nAnswer: 92981.43","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -577025, -577027, -577029?\n\"Answer: -2*g - 577023","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 9048502?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) be the second derivative of 13*f**8\/14 + 4*f**7\/21 + 203*f**4\/3 + 7*f + 60. What is the third derivative of g(q) wrt q?\nAnswer: 6240*q**3 + 480*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) be the third derivative of -y**6\/120 + 13*y**5\/20 - 19*y**4\/12 + 25*y**3\/6 - 12739*y**2. Give r(38).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -163 - -183.4. Let x = -2.4 + c. Let q = 18.0000026 - x. Round q to 6 dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 26.36325 months to centuries.\nAnswer: 0.021969375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -60*l - 74*l + 167*l - 3*l**2 as y*l + x*l**2 + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = -3*c + 1. Let r(w) = -w - 1. Let h(s) = -k(s) + 4*r(s). Let m be h(-11). Suppose m*x = x + 220000. Round x to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 16\/10 - (0 - -2). Let s = 40 + -40. What is the closest to s in c, -3\/7, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (0 - -1)*429\/11.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 - 1784542551897\nAnswer: -1784542551897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -10*398446.\nAnswer: -3984460","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4936?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 91190352 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1986516 and 819.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 35*z - 180 - 170. Suppose z*d = 45284 - 11274. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -35\/3 and -10\/897?\nAnswer: 897","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3*(-141)\/(-378) + 18\/(-63).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = 96*t - 28. Is 13 a factor of p(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ooooooooobboo. Give prob of picking 2 o and 1 b.\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:16 PM and 5:42 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2\/17 or -1093.26?\nAnswer: -1093.26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = d**3 + 15*d**2 - 2*d - 15. Let i be f(-15). Let v(s) = 5*s - 74. Let x be v(i). Solve 4*u + 5*m - 2 = x, 9 = -5*u - 2*m for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 3510\/(-936)*(-8)\/10. Solve g + 2*p = 4, -o*p = -2*g - 0*g + 15 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2, -14, -34, -62, -98?\nAnswer: -142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express 25403*y**2 - 25403*y**2 - 3035*y**4 + (y**3 + y**3 - 4*y**3)*(-5*y + 4*y + 0*y) in the form o*y**4 + w*y + p*y**2 + u + d*y**3 and give o.\nAnswer: -3033","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) be the first derivative of 1 - 2\/3*k**3 + 1\/2*k**4 + 0*k + 0*k**2. What is the third derivative of w(u) wrt u?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 45\/32774 and -67\/9440.\nAnswer: 154693280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (20*d**2 - 39*d**2 + 36*d**2)*(0 + 1 - 4) - 2*d**2 + 0*d**2 + 0*d**2 + (-4*d + 2*d + 0*d)*(0*d + 6*d - 2*d).\nAnswer: -61*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -48192\/5 - -9639. Let u = -7 + 12. Suppose -u = 2*f - 13. Which is the smallest value?  (a) f  (b) w  (c) -4  (d) 35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = -x**2 + 31*x - 51. What is the units digit of b(23)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 480 minutes before 10:39 AM?\nAnswer: 2:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = l**2 - 6. Give i(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 220123 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 3860 and 3281.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.4 + 0. Let i = 20 + -19.9. Which is the nearest to 2\/5?  (a) l  (b) 0.2  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -53 + 88 + -54 - (-1 + -1 - -5).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 38097 is divided by 5121.\nAnswer: 2250","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 275361 to the power of 1\/5, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1598720 = -327*d + 199*d. List the prime factors of d.\nAnswer: 2, 5, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 28 is divided by 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = 5*c**2 + 4*c - 6. Let x(b) be the third derivative of -b**5\/6 - 7*b**4\/24 + 11*b**3\/6 - 3*b**2 + 135. Calculate 7*h(p) + 4*x(p).\nAnswer: -5*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 77522?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = 15*h + 25. Let p be r(-2). Sort -117, p, -1 in increasing order.\nAnswer: -117, p, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -774011\/61 + 12689. What is the common denominator of c and -37\/11?\nAnswer: 671","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -7 + 3. Let n be 28\/(-10) - (h - -1). Factor n*s**2 + 1\/5*s + 0.\nAnswer: s*(s + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 + (4 + -3 - 5) + -4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -498.3213 times -0.1\nAnswer: 49.83213","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3235*x**2 + 3244*x**2 + 3192*x**2 + 3244*x**2 - 12914*x**2.\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = w**2 + 6. Let h be (-40)\/15*(-3)\/5 + 34\/85. Give o(h).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 224419298?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 59\/72 and -149\/66?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ici when three letters picked without replacement from cicxcci.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*o**4 + 0*o**4 + o**4)*(-o + 2*o - 4*o) - 33*o**5 - 23*o**5 + 20*o**5.\nAnswer: -33*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 1, o: 2}. Give prob of picking 2 o.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2*(((-135)\/(-230))\/9)\/((-231)\/(-231))?\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (1 + -3)\/4*-6. Let p be 1 - (o - 3 - 1). Suppose -4*l - 3*t + 53 = 0, -p*t - 16 = l - 2*l. Solve l = -3*g + g + 5*x, -4*g = 5*x - 2 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 54861904 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: Two letters picked without replacement from {z: 1, e: 1, x: 1, p: 1, d: 1, u: 2}. Give prob of picking 1 p and 1 e.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is n in -6*n**4\/11 - 629010*n**3 - 20757288*n**2\/11 - 13838184*n\/11 = 0?\nAnswer: -1153182, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 189 divide 11529?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = -6*v - 16. Let g = 22 + -20. Let a(i) = -3*i**2 + 5*i - 8. Let k be a(g). Let q(j) = -2*j - 5. What is k*q(f) + 3*l(f)?\nAnswer: 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y**3\/3 - 86678605*y**2\/3 + 1878295271204407*y\/3 - 1878295011168601 = 0. Calculate y.\nAnswer: 3, 43339301","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -0.080361038*-0.3\nAnswer: 0.0241083114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -25 - -14 - -22 - -7?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or -0.10364?\nAnswer: -0.10364","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ooooooo. What is prob of picking 3 o?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is (-12)\/(-3)*8\/(-160)*-15?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**19)**(-31) assuming z is positive.\nAnswer: z**(-589)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = 5*h**3 + 2*h**2 - 2*h + 2. Let i(z) = 14*z**3 + 7*z**2 - 7*z + 6. Calculate -7*c(x) + 2*i(x).\nAnswer: -7*x**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express (m + 2*m + 0*m)*(1 - 5 - 5)*(-11*m + 26*m - 17*m) in the form k*m**2 + s*m + f and give k.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 56\/16*((-5376)\/(-98))\/12\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fy when two letters picked without replacement from {t: 1, c: 2, f: 2, y: 1, u: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2116294119?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-4)\/(-22) + 318\/66. Let v(l) = l**2 - 4*l + 1. Let m be v(z). Let g = -5 + m. Which is smaller: -1 or g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -46\/3771 and -113\/8022.\nAnswer: 10083654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 + 0 - s)*(-2 + 1 + 3)*(-11 - 20 + 10) + 3*s + 0*s - 5*s + (-4 + 0 + 2)*(-4*s + 4*s + s) + s - s - 4*s to z + k*s and give k.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 33 and 302991909?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = -181*k - 1775. Let o(r) = -64*r - 591. Give 17*o(d) - 6*y(d).\nAnswer: -2*d + 603","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -16 - -22. What is the second derivative of 6 - 2*y - c - y**5 wrt y?\nAnswer: -20*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -1927 and -4.\nAnswer: 7708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0  (b) 295  (c) -9989\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 120809?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert 79972.86cm to meters.\nAnswer: 799.7286","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 1 - -8 - -2 - (17 - 19). What is the greatest common divisor of 91 and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 29 = -3*a - 8*x + 13*x, x = 3*a + 49. Let i(f) = f**3 + 18*f**2 - 2*f - 42. Determine i(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -22\/15  (b) -214  (c) 2  (d) 4  (e) -1\/6  (f) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (-4557)\/(-490) + (-1)\/5 and 49\/173.\nAnswer: 1730","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -6 divided by 10703991\nAnswer: -2\/3567997","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 4 - 1. Let u be 2\/(-12)*-4*v. Solve -2*o + 2*b = -u + 8, 0 = 5*o + b - 9 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:59 PM and 7:55 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = -28*m + 709. Determine y(25).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 0 + 757?\nAnswer: 757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -486189.44 rounded to the nearest 100?\nAnswer: -486200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4924322.\nAnswer: 2, 13, 17, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor -f**3\/3 - 2591*f**2\/3 + 5186*f\/3.\nAnswer: -f*(f - 2)*(f + 2593)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -756016.52 rounded to the nearest one thousand?\nAnswer: -756000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is -3494 greater than or equal to -3494?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 13\/133 and 99\/769234.\nAnswer: 5384638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 130539 is divided by 65263?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 4604523 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put together 5 and -1719.49697805.\nAnswer: -1714.49697805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rvrrrrvr. Give prob of picking 1 r and 1 v.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x - 3*r + 3 = 0, 2*x + r - 4*r = 15. Let o be 2\/x*(-100)\/20. What is the second biggest value in -11, 3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (4 - -7) + (-4 - 0). Suppose -s*q - 470862 = -1991815. Let h = q - -462721. Round h to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) be the third derivative of 3493*x**6\/120 - 1979*x**3\/2 - 3*x**2 + 487. What is the first derivative of r(y) wrt y?\nAnswer: 10479*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -248474 - -248498. Calculate the remainder when (-250)\/(-6) - (-2)\/(-3) is divided by p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -41*p + 88*p + 5 + 8*p**2 - 44*p to w + f*p + l*p**2 and give w.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 70.42380921 + -70.45481. Let f = -0.039 + 0.07. Let y = f + q. What is y rounded to 7 dps?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 14 + -12. Let y be i\/(-4) + 2 + 0. Let n = -5\/3 + y. Which is smaller: 0.2 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-4875)\/(-2)*((-2608480)\/21)\/17. Round h to the nearest 1000000.\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -26*j**2 - 7 - 1 - 12 + 0 - 20*j**2.\nAnswer: -46*j**2 - 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 190 is divided by 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express -22*b**3 + 46*b**3 - 153 - 22*b**3 as x*b + g*b**3 + c + z*b**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 56 divided by -505?\nAnswer: -56\/505","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -39\/46 and -7\/12?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*u**3 - 3*u**2 + 3*u**2 + (2 - 3 + 0)*(-4*u + 4*u - 4*u**3) + 3*u**3 + 2*u**3 - 2*u**3 + (-5*u + 19*u + 10*u)*(2*u**2 - 2*u + 2*u).\nAnswer: 59*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -0.4, 167\/3, -1, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -3.56 + -15.54. Let u = j + 19. Let v = -55 + 56. Which is the closest to 1?  (a) u  (b) v  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6532705 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = -6*j**2 - 6*j - 2. Let v(o) = -7*o**2 - 6*o - 2. Let q(l) = -2*c(l) + 3*v(l). Let u = 17 - 10. Let x(n) = -8*n**2 - 5*n - 2. Give u*x(f) - 6*q(f).\nAnswer: -2*f**2 + f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is (0\/((-1)\/1))\/(17\/(-17))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j = -2*j + 219. Suppose 27 = 5*i - j. Let w = 65569 + -65563. Solve -o - i = -w*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0001545684563 rounded to 5 decimal places?\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = s**3 + 71*s**2 - 24*s - 1200. What is q(-71)?\nAnswer: 504","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -301, -317, -345, -379, -413?\n\"Answer: h**3 - 12*h**2 + 13*h - 303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24 = -4*z - 4*o, -2*z + 2*o - 9 = -z. Which is the closest to z?  (a) -2  (b) 4\/7  (c) -1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4 (base 9) to base 7\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -113\/138 and -95\/157918.\nAnswer: 473754","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 84 and 540.\nAnswer: 3780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 4200 and 1015.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*f - 15*f = 4 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 861551140.\nAnswer: 2, 5, 29, 1485433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = v**2 - 6*v + 5. Let c be ((-6)\/(-9))\/(2\/15). Calculate q(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 4, -16596, -3 in increasing order.\nAnswer: -16596, -3, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 7443 - 5278. Let r = -366 + i. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(-7)\/u)**(3\/13)\/((u\/(u**(-4)\/u))\/((((u**3\/u)\/u)\/u)\/u)) assuming u is positive.\nAnswer: u**(-115\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = 9*s. Let g(p) = 39937313*p. What is t(g(d))?\nAnswer: 359435817*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand -7*m + 2*m + 3*m + (56 - 112 + 59)*(-1 + 1 + m).\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*j + 79 - 25. Let b be 2 - j - 6 - (0 - 0). Solve -b*z + z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -3, 24, 1 in ascending order.\nAnswer: -3, 1, 4, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 32186233?\nAnswer: 883, 36451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 72311712?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = 33*m**2 - m. Suppose -r + 0*p + 2*p - 1 = 0, 3 = -3*r + p. Is 17 a factor of h(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 123 is divided by 72?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.09, 0.3121, -10 in decreasing order.\nAnswer: 0.3121, -0.09, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ljjlglejll. What is prob of picking 1 j and 1 g?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 3 + 1311?\nAnswer: 1320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = 5*z**2 - 114*z + 4. What is p(23)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.1 or 586?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 2 divided by 2198483\nAnswer: 2\/2198483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = 5*o**3 - 5 + 13 + 2*o**2 + 3*o**2 + 8*o. Let k = -1800 + 1803. Let f(s) = -2*s**3 - 2*s**2 - 3*s - 3. Give k*i(z) + 8*f(z).\nAnswer: -z**3 - z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*p**4 + 120*p**3 + 720*p**2.\nAnswer: 5*p**2*(p + 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 3, w: 1}. What is prob of picking 2 j?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 512\/156*(-66)\/(-88) + 2*-1. Put -2\/7, -1\/8, f, -1.4 in ascending order.\nAnswer: -1.4, -2\/7, -1\/8, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*((sqrt(48)\/sqrt(150)*-6)\/(sqrt(32)\/(2*sqrt(8)*2)))**2.\nAnswer: -2304\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-132)\/3*(-42 + 2). Suppose -1246*h + 1249*h + 3276 = 0. Let j be 6\/8 + 10\/(o\/h). Which is the third smallest value?  (a) -2  (b) -2\/7  (c) 2  (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = -c**3 - c**2 - c - 1. Let p(x) = -2*x**3 - 7*x**2 - 4*x - 2. Let a(g) = -d(g) + p(g). Determine a(-6).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 3\/2390 + 23489\/327430. Let k = -207\/959 + p. Let s = -5\/6 + 1\/3. Is s at most as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 18036 and 248496.\nAnswer: 2236464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 107 a factor of 8132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(3087)*4 - sqrt(3087) - (-1*sqrt(63)*-1)**2.\nAnswer: -63 + 63*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 134\/(-2)*-2*5\/(-10). Let p = -55 - l. Suppose -8*q + p + 4\/3*q**2 = 0. What is q?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*c**2 + c**2 + 2*c**2 + (-4*c + 3*c - c)*(2*c - c + 0*c) - c**2 + c - c - 2*c**2 - 3*c**2 - 4*c**2.\nAnswer: -13*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 4, e: 2, p: 10}. Give prob of sequence qep.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -67, -63, -49, -19, 33, 113, 227?\nAnswer: 381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 49\/16 and -99\/5264192?\nAnswer: 5264192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 5327ba (base 15) to base 4\nAnswer: 33012020002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 6687191 to the power of 1\/2, to the nearest integer?\nAnswer: 2586","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 101*c - 100*c + 218 + 263 - 481.\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-60)\/((-285)\/57))\/(-1*3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00005103 rounded to five dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 4945124621 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 1628\/3256*-4*(2\/94)\/(-1)?\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Determine o, given that -2*o**5 + 9196*o**4 + 18406*o**3 - 27592*o**2 - 36808*o + 36800 = 0.\nAnswer: -2, 1, 4600","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 12 + -7. Let d = 8 + -7. Let h be 29\/77 + (-8)\/28. What is the closest to d in 3, v, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o + 247 = 135. Suppose -4*r + o = 5*w, -2*r + 4*w = -1 + 13. Find j, given that -2*j**3 - 2*j**3 + 836*j**r + j**4 - 833*j**2 = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2991000 rounded to the nearest one hundred thousand?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is -4735 bigger than -4698?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -335 + 165 + 6*d + 179 - 9*d to f*d + k and give k.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -381, -341, -301, -261, -221?\n\"Answer: 40*h - 421","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1)\/(-3)*6*(-4)\/6.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -2\/13, 3\/7, -0.0256977 in ascending order.\nAnswer: -2, -2\/13, -0.0256977, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange l**4 - 2 + 34*l**3 - 6*l + 32*l**3 + 42*l**3 - 2*l**2 - 113*l**3 to the form b*l**3 + i*l**2 + z*l**4 + r + n*l and give b.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -10, -33, -80, -157, -270, -425, -628, -885?\n\"Answer: -p**3 - 6*p**2 + 2*p - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 1 divided by 32\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s = 3*f + 24, 0 = -f + 9 - 12. Let v(c) = -4*c + c + 2*c**2 - 3*c**2. What is v(s)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -214152 (base 6) in base 14?\nAnswer: -66a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in -3\/2, -0.031, 4, -20\/9, 2?\nAnswer: -0.031","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -76 = u - 79. Which is the biggest value?  (a) u  (b) 5\/7  (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f + 130 = t - 3*t, -t + 2*f - 56 = 0. Let p = -239\/4 - t. Which is smaller: p or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xlmmqlxlml. Give prob of sequence lx.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 2 (base 16) to base 13\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 29 + 68 - 97 - 3031*b - 1598*b + 1431*b.\nAnswer: -3198*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*r**2 - 19461339*r + 9730690*r + 9730690*r.\nAnswer: 8*r**2 + 41*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1795919934?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 3\/326  (b) 7791  (c) -2.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*t + 9*q - 74, 4*t + 4225*q - 4222*q - 18 = -5 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1.18 + -1.072. Let a = x + -0.208. Let d be 1*6\/((-12)\/10). What is the third smallest value in d, 5, -0.05, a?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 25028*j**5 + 46239*j.\nAnswer: 500560*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) be the second derivative of -2*o**3\/3 + 9*o**2 - 15*o. Let f be s(0). Solve -f = -d - d - 2*w, 3*d - w = 11 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.2  (b) -3\/7  (c) 19  (d) -12\/11  (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -355510 (base 6) in base 10?\nAnswer: -31074","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -4.2+-63930184513\nAnswer: -63930184517.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0.2  (b) 2\/5  (c) 2\/57\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:58 PM and 5:11 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:06 PM and 6:17 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 4, 17, 38, 67, 104?\nAnswer: 149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4504 is divided by 98.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-26)\/91 + (-46)\/(-14). Suppose -4*n + 0*y = -2*y - 66, m*y - 27 = -3*n. What are the prime factors of n?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = -n**2 + 425*n + 29099. What is t(-60)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:28 PM and 10:57 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 38.5713 decades in months?\nAnswer: 4628.556","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -203 + 207 + 7 + -1 + -2?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 824 * -171750\nAnswer: -141522000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = 55*g - 1492. Calculate p(30).\nAnswer: 158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*y - 5*n + 6 - 0, -2*y - 4*n = -12. Suppose -y*v - 2*i + 1 = -3, 4*v + i = 23. Solve 0 = -v*d + 3*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.49, 0.09, -12, -1.2, 1 in descending order.\nAnswer: 1, 0.49, 0.09, -1.2, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*d - 4*d + 2 + 4*d)*(-47 + 21 + 23)*(7 - 11 + 14).\nAnswer: 60*d - 60","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = -v**3 + 4*v**2 + 7*v - 6. Let f be l(5). Suppose -5*o = -f*t - 4*o + 17, 0 = -2*t + 4*o + 12. Solve -5*u = 5*x + 5, -x - 3 = t*x + 3*u for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 3\/46 or 0?\nAnswer: 3\/46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -32 + 2233?\nAnswer: 2201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express (2 - 5 + 4)*(7*i - i - 2*i) as z*i + f and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00000304573 rounded to 7 dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put 14, -5, -1, 34 in increasing order.\nAnswer: -5, -1, 14, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l = -2*q + 2194 + 2992, 3*q = 2*l + 7781. What are the prime factors of q?\nAnswer: 3, 5, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 + 0 = -4*r. Suppose -6*g = -2*g - 176. Let l be 1\/((-14)\/g) + 3\/1. What is the third biggest value in -3\/4, r, l?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 15 + -17. What is the third smallest value in 0.2, t, 0?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3242.\nAnswer: 2, 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 68276?\nAnswer: 2, 13, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = 22*t**2. Let m(l) = 23*l. Let h(v) = 40*v. Let g(k) = 6*h(k) - 10*m(k). Determine g(f(r)).\nAnswer: 220*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 8164 a multiple of 162?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 261695656.\nAnswer: 2, 23, 73, 19483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1365.52512 + -0.07488. Round y to the nearest 100.\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7079497 is divided by 63?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round -95900 to the nearest 10000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round -25037.436 to the nearest 10.\nAnswer: -25040","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 17235 + -344803\/20. Calculate the common denominator of (-2)\/10 + 346\/(-20) and j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = 2*b**3 - 16*b**2 + 17*b - 60. Give k(6).\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 5 and 718829.\nAnswer: 3594145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 8201 - 7600. Calculate the remainder when a is divided by 28.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 205333 (base 10) in base 8?\nAnswer: 621025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -56\/1593 and 19\/363735?\nAnswer: 1091205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.241 and -0.262506.\nAnswer: 0.063263946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -458441 and 1032.\nAnswer: -473111112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 230903 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange s - 3*s - 34*s**2 + 35*s**2 + 4 to the form m*s**2 + w*s + t and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -981?  (a) -0.3  (b) -1\/2  (c) -13796\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1114757 to the nearest integer?\nAnswer: 1056","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1269 + 19338. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = -1 - 12*d + 8*d + 5*d**2 - 4*d**2. Let c be n(-1). Solve 30 = 5*b - h, 3*h = c*b + 7*h for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -2343219 at least as big as -2343219?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round 89.54 to the nearest 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 19022394551 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-15)\/10 - (-1)\/(-2). What is the least common multiple of (0 + 4)*(-11)\/h and 18?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) -0.4  (b) 4\/13  (c) 2  (d) -6\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 29252220 and 780.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*y - 7*y - 60. Let r be (6\/y)\/(8\/(-40)). Let m(v) = 9*v**r + 2*v**2 - 6*v**2 + 4. Let c(d) = d**2 + 1. Calculate 20*c(s) - 5*m(s).\nAnswer: -5*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 0.3  (b) 7612\/13  (c) -3  (d) -67  (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = -1015*t. Let z(w) = -11*w - 5257. Give z(m(u)).\nAnswer: 11165*u - 5257","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*n**3 - 2 + 53*n**3 + 2.\nAnswer: 50*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26*g + 527 = -175. Does 5 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1448 and 12?\nAnswer: 4344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*u = 10*u + 33. Let k = 16 + u. Sort -15, 1, k in decreasing order.\nAnswer: k, 1, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = -3*l. Let o be k(-1). Suppose -4*m - o*f + 39 = -94, -2*m + 2*f + 56 = 0. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 76 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2 - -3. Suppose -t = -w*p + 4*t + 15, 4*t - 4 = 0. Solve 0 = p*o - 15 - 1 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 97492, 97253, 96854, 96295, 95576, 94697, 93658?\nAnswer: 92459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -573.7 + 575.7. Let r = 3 + -2. What is the fourth smallest value in -1.4, r, -4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -21 = -406*w + 413*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 29\/2 of a milligram in micrograms?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.2?  (a) -0.21  (b) -26  (c) 8\/7  (d) 4  (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2439512, 4879010, 7318508, 9758006, 12197504, 14637002?\nAnswer: 17076500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-8)\/14)\/((-12)\/(-42)) + 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = 2460*t**3 - 6*t**2 - 12*t - 19. Let q(n) = 7388*n**3 - 17*n**2 - 35*n - 55. Let x(v) = 17*b(v) - 6*q(v). Find the second derivative of x(s) wrt s.\nAnswer: -15048*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 19.05, 5241, -1\/6 in decreasing order.\nAnswer: 5241, 19.05, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 174151.\nAnswer: 349, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2614 - 2377 = 7*v. Let q be v\/3 - ((-24)\/9 - -3). Let z = q + 466. Does 12 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 1136429051?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = 32*k**2. Let j(g) = -23*g. Give j(f(h)).\nAnswer: -736*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 326481 rounded to the nearest one thousand?\nAnswer: 326000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = y**3 - 6*y**2 - 20*y + 112. What is k(7)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*h + 4*h + 2*h**2)*(-2 + 0 + 6)*(2*h - 2*h - h + (h + 0*h + 9*h)*(1 + 0 + 0)).\nAnswer: 72*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ypky when four letters picked without replacement from {p: 5, k: 7, y: 5, c: 1}?\nAnswer: 35\/3672","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1123?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (9\/(-12))\/((-3)\/(-84)). Let n be (-13)\/2*(s + 25). Is n at most as big as -25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1.3 * 540\nAnswer: -702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d - 6*d + 18 = 0. Suppose -3*b + 6 = g, -d*g + 3*g - 5*b = -18. Let i(k) = 3*k. Give i(g).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-173*l + 205*l - 4 - 1)*(l - 3*l + 5*l) as h*l + w*l**2 + o and give h.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 361923.6 millennia?\nAnswer: 3619236","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 50586 - 50586.31799. What is a rounded to one dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -456\/17, -9, 7\/3 in ascending order.\nAnswer: -456\/17, -9, 0, 7\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000095203 to seven decimal places.\nAnswer: 0.0000095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 4118.978 - 4119. Which is the closest to 1\/3?  (a) -5  (b) 2  (c) t  (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.01584621 to four dps.\nAnswer: 0.0158","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 69613\/29304 + -2\/3663. What is the common denominator of s and (-1)\/3 - (-82)\/156?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -95 and 0.247?\nAnswer: -23.465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 83 - 50. Let v = 32 + 0.9. Let m = y - v. Which is the nearest to m?  (a) -5  (b) 6\/5  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 11587347?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2\/7 + 267\/21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand b**2 + 0 + 0 + (131 - 131 - 3*b)*(4*b + 2*b - 5*b).\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -1012212221 (base 3) to base 6\nAnswer: -302554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 305 and 7630429.\nAnswer: 38152145","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = 77*g**2 - 7*g + 7. Is j(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 72628410097 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = -41*c - 14. Let z be h(-2). Suppose 0 = 11*y - z + 13. Solve 3*j + y = -2*j - 3*n, -5*j = n + 15 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 11, -0.02, -0.2.\nAnswer: -0.2, -0.02, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 13556029 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -23006 + 23006. Let p(w) be the third derivative of -11\/180*w**5 + 0 + d*w + 0*w**3 + 12*w**2 - 1\/36*w**4. Factor p(u).\nAnswer: -u*(11*u + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 4\/21 + 10\/21. Let l(y) = -y**3 - 5*y**2 + y + 6. Let d be l(-5). Let o = -2\/63 + -19\/63. Which is the nearest to r?  (a) -0.3  (b) d  (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = -17*t**2 - 7 - 3*t + 14 - 2 - 4 + 15*t**2. Let f = -46 + 48. Calculate l(f).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:57 PM and 5:38 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 10034570 (base 8) in base 15?\nAnswer: 2bab0e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 43*o - 51*o - 8 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in -1\/5, -192580, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) be the third derivative of o**6\/30 - 4*o**5\/15 + o**4\/2 + 18*o**2. Find c, given that u(c) = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 15513?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -3 - -14. Let n = d + 17. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13008994693 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) be the second derivative of -3*s**6\/10 + s**2\/2 - 7*s. Differentiate n(q) with respect to q.\nAnswer: -36*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 480 minutes after 6:40 AM?\nAnswer: 2:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 97\/10794 and 62\/10023?\nAnswer: 140322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence snsn when four letters picked without replacement from ssssnnnssnssn?\nAnswer: 28\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 25 + -35. Let o(c) = -c - 6. Let n be o(g). Differentiate 1 + 8*z**4 - 5*z**n - 7*z**4 + 0 with respect to z.\nAnswer: -16*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 234 (base 13) to base 12.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z = -3*s - 9, 3*z - 5*s = -0*s - 7. Solve 0 = c - z*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -v + 4*x - 10 = 15, 5*v = x - 30 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 11051256649 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 1.7035686 months?\nAnswer: 0.14196405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 752 and 449244424?\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = -125*n**3 - 8*n**2 - 29*n + 32. List the prime factors of h(-5).\nAnswer: 2, 29, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.6 - 1.4. Let j = -5 - h. Let s = 21 + -22. Which is the nearest to j?  (a) s  (b) 3\/2  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 3409\/20 + -687\/4. Let y = -10.8 + 10.3. What is the third biggest value in 0, -1, m, y?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (17*k - 32*k - 16*k)*(-3 - 2 + 3)*(-3*k + 6*k + 0*k).\nAnswer: 186*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -302, -1294, -2978, -5354, -8422?\n\"Answer: -346*r**2 + 46*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 6202234319 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = -2051*a + 9. Is p(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(120)*-1)\/sqrt(6))\/(sqrt(4) + sqrt(28)\/sqrt(252) + sqrt(4) + sqrt(4)).\nAnswer: -6*sqrt(5)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = -d**3 - 9*d**2 - 10*d + 2. Determine a(-7).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = -27*h**3 - 324*h**2 + h + 15. Let m be f(-12). Determine b, given that 1\/9*b**5 + 0*b + 0 + b**4 - 25\/9*b**2 + 5\/3*b**m = 0.\nAnswer: -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c + 4*a = a + 15, 5*c - 70 = 4*a. Let m = 4 - c. Is -19\/3 at most as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 261 = q + 2*i - 6*i, -5*i = 2*q - 574. What is the hundreds digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-8)\/(-90))\/(32\/(-80))\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -2.2 - 2.8. Let n = 27 + k. Let z = -22.00000264 + n. What is z rounded to 7 decimal places?\nAnswer: -0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = 2*q**2 + 22*q - 140. Let d be f(-16). Solve 32*h = -5*v + 34*h + 25, -4*v + 3*h + d = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1702 and 222?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 4 and 419?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 184\/(-276)*(496 + -1). Let w be 6\/(-78) - p\/910. What is the smallest value in w, 2\/21, -103?\nAnswer: -103","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -1371456, -1371646, -1371836, -1372026?\n\"Answer: -190*l - 1371266","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 0 + -36643?\nAnswer: -36643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j*j**(-5)*j**(-4\/5))**6 assuming j is positive.\nAnswer: j**(-144\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*a + 3*a + a)*(-a + 2*a + 5*a) + ((6*a - 5*a - 3*a)*(-2 + 2 + 2) - 6*a + a + a)*(-2*a - 3*a + 3*a) in the form l*a + s + q*a**2 and give q.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) be the second derivative of u**5\/20 - 5*u**4\/12 - u**3\/6 - 3*u**2\/2 - u. Let f be ((-1)\/(3\/(-4)))\/(30\/(-45)). Let k be 5*(f - (-4 - -1)). Give q(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (20\/(-4)*124\/(-620))\/((-74)\/(-2))?\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 8\/83 - 388\/581. Let b(u) = u**2 - 3*u - 8. Let o be b(6). Suppose o*j - 7*j = -6. Does j = c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = 3*v**3 + 14*v**2 - 9*v + 63. Does 28 divide w(12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m = -3*g - m + 8, m = -g + 8. Suppose -45 = -g*b + 807. Does 12 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 6 + 3. Let n = r - 7. Let i(v) = 9*v**2 + v. Is 19 a factor of i(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 126 divide 165729?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 660494 or 660526?\nAnswer: 660494","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -8, -5, -104, 1\/2, -3\/8, -0.151, 1?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 3.97 and 5114.7.\nAnswer: 20305.359","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5 = 5*k + 6*p + 4*p, -5*k + 10 = 5*p for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -30803 or -30801?\nAnswer: -30803","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -38412*f**3*m**2*s + 4*f**3*m + 3*f**3*s + 2*f**3 + 3*f**2*m**2*s**3 - 2*f*m - 78*m*s**2 + 2*s**3 wrt m?\nAnswer: -76824*f**3*s + 6*f**2*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: (-54)\/12*(-8)\/(-6)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 38672.\nAnswer: 2, 2417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -10.151 + -0.049. Let i = t - 0.8. Let x = -4.9 + 5. Do i and x have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = -h**3 - 7*h**2 - 5*h + 7. Let r(s) = s**2 + 28*s - 35. Let c be r(-29). Give d(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -313230 - -122342?\nAnswer: -140333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -13.2 + 12. Let r(p) = -p**3 - 5*p**2 - 7*p - 1. Let g be r(-3). Which is the third biggest value?  (a) -5  (b) g  (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) -0.94  (b) 276  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1903389393?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 30 + -24 + -56 - -28?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 18.995931 minutes?\nAnswer: 0.31659885","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 1\/6522, -2532, -2\/9?\nAnswer: 1\/6522","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 427 and 10675?\nAnswer: 427","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 94668 and 149868?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = 17*k**2 + 23*k + 27. Let t(q) = 6*q**2 + 7*q + 9. Let r(d) = 7*t(d) - 2*u(d). Let p be r(-2). What is the highest common factor of p and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.223 minus 31321886?\nAnswer: -31321885.777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*sqrt(76)*-2*4 + -1 + (sqrt(133)*-1)\/sqrt(7) + 0.\nAnswer: -49*sqrt(19) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -41, -81, -165, -311, -537?\n\"Answer: -3*d**3 - 4*d**2 - 7*d - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((((w*w\/w**22*w)\/w)\/w)\/w)\/w**(3\/7))\/(w**1\/(w*w*w**(-2\/3)*w)) assuming w is positive.\nAnswer: w**(-443\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 394 minutes before 11:55 PM?\nAnswer: 5:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -4422 (base 5) in base 16?\nAnswer: -264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -2233775 + -506?\nAnswer: -2234503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -107908474210 - -1.\nAnswer: -107908474209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 74, 21, -76, -223, -426, -691?\n\"Answer: -i**3 - 16*i**2 + 2*i + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -11 (base 2) in base 11?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = -3*y**2 + 7*y + 32. Determine f(7).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 40582 is divided by 788?\nAnswer: 394","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1382?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) be the second derivative of -r**5\/20 + 11*r**4\/12 - 11*r**3\/6 + 12*r**2 + 9*r. Let j be m(10). What is the tens digit of 1404\/j - (2 + 60\/(-35))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.029833 rounded to three decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 9843.62km in meters?\nAnswer: 9843620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 47 + -64 - (-9 - 0)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 47\/558 and -111\/434.\nAnswer: 3906","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(sqrt(3) + (-2*sqrt(33))\/sqrt(11))*-5)**2.\nAnswer: 2700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 15016\/(-10080) + (-2 - (-19)\/9). Let h = -22\/35 - z. Factor 3*v**2 + 15\/4*v + h*v**3 + 3\/2.\nAnswer: 3*(v + 1)**2*(v + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) be the first derivative of p**6 - 76*p**5\/15 + 22*p**4\/3 - 16*p**3\/9 + 345. Let z(m) = 0. What is m?\nAnswer: 0, 2\/9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -65 + -18. Let r = 81 + h. Which is greater: r or 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 524 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*f**3 + 127*f + 112*f - 239*f.\nAnswer: 4*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 - 1 - 31*a.\nAnswer: -31*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k + 15 = 0, 2*n - 12 - 5 = -3*k. Suppose n*y + 0*y = 0. Suppose y = -4*m + m + 6. What is the remainder when 4 is divided by m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -8 + 8.7. Let d = -9513.9 - -9514.4. Let f be (-1)\/(-2)*36\/(-63). What is the nearest to f in -4, t, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2821 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: ((-2460)\/9020)\/(3\/1)\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b\/(b*(b*b**(2\/5))\/b))**(-2)*((((b\/(b\/(b\/(b*b\/(b*b**(1\/3)))))*b)\/b)\/b)\/b)**(-4\/11))**(-3\/8) assuming b is positive.\nAnswer: b**(-29\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -62 - -63. What is the common denominator of -73\/21 and 3 - m - ((-5358)\/180)\/(-19)?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -11 - -12. Let r be -7*c\/(-2) - (-2)\/4. Calculate the remainder when 28 is divided by (20\/4 - r)*16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {i: 3, c: 17}?\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*b**2 + 0*b + b + 248*b**3 - 15*b**2 - 148*b**3 - 2*b.\nAnswer: 100*b**3 - 18*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*g = 3*v - 6, -56*v + 57*v + 32 = 5*g for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = -2*h**2 - 3*h - 1. Suppose -2*d + 0*d + 2 = 0. Let b be 65\/(-20) - d\/(-4). Calculate p(b).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 31 divide 2902975?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 3 - 13. Let l(x) = x**2 + 18*x - 49. Let u be l(-20). Let i be 10 + y - (-1 + u). Put 2, 0.5, i in ascending order.\nAnswer: 0.5, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1039 by 1373.\nAnswer: -1039\/1373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = -43*d + 654. What is c(15)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -135 - -100?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from lemelqemwqllqeqqq. Give prob of picking 1 w, 1 l, and 2 m.\nAnswer: 1\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000115452 rounded to 7 dps?\nAnswer: 0.0000115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2380)\/(-86870) + 1020\/73?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 343 and -0.298?\nAnswer: 343.298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.6 - 1. Let n = g - 0.6. Which is smaller: n or 1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 424146729 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.3, -6, -157.\nAnswer: -157, -6, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2793 - 3165 - 3042*d - 538*d + 1109 - 3972*d wrt d.\nAnswer: -7552","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 698 divide 92834?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express 10 - 14 - 3 + 7 - 10277*k as o + b*k and give b.\nAnswer: -10277","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 5008 smaller than -58?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 12370?\nAnswer: 2, 5, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -2\/51 - -12\/17. Let u(b) be the first derivative of a*b + 2 - 7\/9*b**3 + 5\/6*b**2. Factor u(q).\nAnswer: -(q - 1)*(7*q + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1114327135 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: Suppose -2*c + 5 + 45 = 0. Let v be (-1)\/((1\/(-47))\/1). Let n = v - c. Calculate the greatest common divisor of n and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 332162726?\nAnswer: 2, 7, 97, 244597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-1)\/(-3) + 48\/18. Suppose -5*k - 2*i + 26 = 0, 5*k + n*i - 6 = 3*k. Suppose -h - 75 = -k*h. Calculate the highest common divisor of 3 and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(81) - (-1*sqrt(81) - sqrt(81))) + (1*sqrt(81) - sqrt(9)))\/(sqrt(12)*-3*6).\nAnswer: -11*sqrt(3)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1634 - 1634 - 3481 + 8387 - 13*l**2 - 1638.\nAnswer: -13*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (24 - 24 - 14*y**2)*((2*y - 2 + 2)*(1 - 2 - 1) + 0 + 2*y + 0).\nAnswer: 28*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = 38 + 8*q + q**3 - q**2 - 8*q. Let d be m(0). Let s = -6 + d. Calculate the remainder when s is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1869 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve r - 110 + 115 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uu when two letters picked without replacement from uiuuiiiiiu?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/7, -49, -9\/7 in descending order.\nAnswer: -2\/7, -9\/7, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 32 + -45 - 730\/(-55)?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 27*c - 28*c - 395. What is the hundreds digit of (-4)\/8 + c\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = z**2 + z + 4. Let f be t(-3). Let o(p) = -p + 2. Let k be o(4). Let v be 41 + k\/2*1. What is the highest common divisor of f and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 265252 is divided by 53042?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*c**2\/7 + 292732*c\/7 - 23113346\/7 = 0 for c.\nAnswer: 79, 146287","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (7\/4)\/(9\/(612\/(-238))).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*m - 3*m + 2*m - 3*m + 1 - 1 + (2*m - 4*m + 0*m)*(2 - 1 + 1) + 4*m - 4*m + m + (3845*m - 2086*m - 2169*m)*(5 - 2 - 2).\nAnswer: -417*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2 + 3. Let c = 13432\/11235 + 10\/2247. What is the third biggest value in w, c, 0.1, -0.07?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 39424 and 4224?\nAnswer: 118272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is -280 smaller than -292?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(0 + (sqrt(405)\/sqrt(36) + -1*sqrt(90)\/sqrt(2))\/(2*(-2*sqrt(225) + sqrt(225) - sqrt(225)))).\nAnswer: -sqrt(5)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 11 - (12 + 11 + 3).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.3*16625.\nAnswer: -4987.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 31.747 rounded to 0 decimal places?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) be the third derivative of -4174*g**7\/105 - 35*g**5\/12 + 5*g**4\/24 - g**3\/6 + 2*g**2 + 2*g + 378. What is the third derivative of x(y) wrt y?\nAnswer: -200352*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c + 2*a = -2, -16 = -c + 3*a - 5. Let k(f) = -f**3 + 3*f**2 + f - 2. Let q be k(2). Solve -3*x - c*s + 6 = 0, 2*x - 6*s = -3*s + q for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 1322 - 11?\nAnswer: 1311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 2a57b4 (base 12) to base 6\nAnswer: 23153144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1365 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-6)\/15 - 9\/(-60). Let z be 14\/10 - (0 + 1). Which is the nearest to n?  (a) 2\/17  (b) z  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o = 23 + 81. Let b = o - -61. What is the least common multiple of b and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1444, -2890, -4326, -5746, -7144, -8514, -9850?\nAnswer: -11146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = 1380*y**3 + 75*y**2 - 2*y + 22. Let b(n) = -689*n**3 - 37*n**2 + n - 12. Let k(a) = -11*b(a) - 6*j(a). What is the third derivative of k(c) wrt c?\nAnswer: -4206","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 5865 - 3421. Is a a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b*b**1)**(5\/3)\/(b\/(b\/(b*b\/(b**(-2\/5)\/b))))**20 assuming b is positive.\nAnswer: b**(-194\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = 3*j**3 - 15*j**2 - 61*j + 286. Let z be m(6). Let v = 49 - -49. What is the highest common factor of v and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -16 + 10 - -1 - 2?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 2\/(-6)*(-2 + 14). Let i be (-27)\/(-6)*t\/(-42). Sort -0.4, i, -3 in decreasing order.\nAnswer: i, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-6)\/(-2)*(-7)\/7\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 827 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: Rearrange (-5 + 3*s + 5)*(-44 + 310*s + 25 + 19) to the form o*s**2 + l*s + t and give o.\nAnswer: 930","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = j. Let l(x) = -5*x**2 + 3*x + 80. Let t be (-2)\/(-3)*21\/7. Let k(z) = 4*z**2 - 2*z - 79. Let h(v) = t*l(v) + 3*k(v). Give a(h(q)).\nAnswer: 2*q**2 - 77","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 115.698ms?\nAnswer: 115698000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.36592  (b) -5  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v - 60 = 2*j + j, 5*j = 0. Suppose 0 = -4*w + w + v. Is 6 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = -y**3 + 42*y**2 + 15*y - 185. Give m(42).\nAnswer: 445","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11.45595 litres to millilitres.\nAnswer: 11455.95","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -689, -2350, -5111, -8972, -13933, -19994?\n\"Answer: -550*w**2 - 11*w - 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"}
{"text":"Question: Let f = 175 - 175. Let m = -470\/13 + 36. What is the third smallest value in f, 4, m?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Simplify (((z*z*z**3*z)\/z**(-1\/6))\/(z\/z**(-1))**(-15))**(4\/29) assuming z is positive.\nAnswer: z**(434\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = y**2 + 7*y + 4. Let m be q(-3). Let w(z) be the first derivative of -2*z**2 - 12*z - 14. Is 10 a factor of w(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find u such that 18*u**5\/11 + 6962*u**4\/11 - 1558530*u**3\/11 + 3438990*u**2\/11 - 2230328*u\/11 + 342888\/11 = 0.\nAnswer: -546, 2\/9, 1, 157","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1985596?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 203211 (base 5) in base 11?\nAnswer: 5024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.357 and -6.\nAnswer: 2.142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 388329, 776656, 1164983?\nAnswer: 1553310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 501083773 to the power of 1\/3, to the nearest integer?\nAnswer: 794","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 139, 210, 197, 58, -249?\n\"Answer: -7*l**3 + 120*l + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 257 + -251.96. Let v = 0.04 - j. Suppose 2*f + 9 = s, -2*s + 0 = -f - 3. What is the third biggest value in s, v, -5\/4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.003482456 rounded to three decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((21 - 1)\/(-4))\/(1\/(-4)). Solve g = 2*u + 3*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1092914269?\nAnswer: 31, 35255299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1576167 is divided by 1346?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = -2087*l**3 - 14*l**2 + l + 1. What is the ten thousands digit of f(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 297309612.\nAnswer: 2, 3, 283, 87547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 6101 + -5629. Solve 26*p = -33*p + l for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 115168878.\nAnswer: 2, 3, 11, 43, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (4\/8)\/((-5)\/(-170)). Differentiate t*i + 40 + i**4 - 7*i - 4*i wrt i.\nAnswer: 4*i**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ii when two letters picked without replacement from riiirrrriiiiiiirrrr?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-98)\/(252252\/(-143)))\/((-5)\/6))\/((-50)\/12)?\nAnswer: 2\/125","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j - 34 = -3*h + 3*j, -2*j + 3 = h. Let c be (-6)\/4*-2 + (-23)\/(-1). Calculate the highest common divisor of c and h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -753533\/18 or -41862?\nAnswer: -753533\/18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -20 - 6*w - 14 + 34.\nAnswer: -6*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of ((-24)\/30)\/(((-12)\/10)\/3) - -466 and 182?\nAnswer: 3276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -15 and 0.17348831.\nAnswer: -14.82651169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -4450 - -4449.9999589. What is h rounded to 5 dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*u + 147 - 147.\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*n + 114 - 34 = 38. Let g(h) = 4*h - 2*h**2 + 6*h + 4*h**2 - 4*h**3. What is the units digit of g(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 101110011111001 (base 2) in base 16?\nAnswer: 5cf9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b + 3*b = 5, 3*b + 5 = 4*z. Factor 4\/5*m**z - 2\/5 + 0*m**3 - 2\/5*m**4 + 0*m.\nAnswer: -2*(m - 1)**2*(m + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 5 - 9. Let o = -1.035 + -3.965. Let r = -98 + 97.8. Which is the closest to 0?  (a) o  (b) n  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = -4*d**2 + 7*d + 4. Let z(r) = 7*r**2 - 13*r - 7. Let b(j) = -14*j**2 + 26*j + 14. Let w(u) = 3*b(u) + 5*z(u). Determine -11*t(s) + 6*w(s).\nAnswer: 2*s**2 + s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -264 divided by 3.\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = -13*n**2 - 36. Let p(z) = -3*z**2 - 8. Let t(b) = -2*g(b) + 9*p(b). Let h(w) = 375*w. What is h(t(i))?\nAnswer: -375*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = -z**3 + 11*z**2 + 11*z + 13. Let s be l(12). Let h(o) = -38*o - 506. Let r be h(-15). Calculate the greatest common divisor of s and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -202 + 185.8. Let z = f - -16. Is z != -0.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 2, l: 1, f: 1, s: 7, j: 4}. Give prob of sequence fs.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 83735829 less than -4829?\nAnswer: -83740658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = -i + 20. Let h(v) = -3*v + 59. Let s(d) = 17*g(d) - 6*h(d). Calculate the remainder when 7 is divided by s(18).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = 97*j + 51. Let f(n) = 590*n + 278. Let d(y) = -197*y - 92. Let x(l) = -8*d(l) - 3*f(l). Let p(u) = 5*t(u) + 3*x(u). Differentiate p(o) wrt o.\nAnswer: -97","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 104 minutes after 11:36 AM?\nAnswer: 1:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is fifty-nine quarters of a litre in millilitres?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 1 + 0 + -7 + 10\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 669 minutes before 11:47 AM?\nAnswer: 12:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 15 + (-7 + 8 - 12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 q, 1 g, and 1 i when three letters picked without replacement from xgggqei.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 4.0003 + -4.000261878. Round p to 6 dps.\nAnswer: 0.000038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 201 (base 4) to base 2\nAnswer: 100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (29\/(-4))\/((-6)\/24). Suppose 2*j + 6 = 0, -3*h + a = h + 5*j. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*w - 1464 = -2*w. Let x = 521 - w. List the prime factors of x.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-5)\/(-7 - (-27)\/6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -16 + 4210279.6.\nAnswer: 4210263.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1077194.\nAnswer: 2, 538597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = -110*z**2 + 4207*z - 1015. Calculate w(38).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(1088)*-3 + -1*sqrt(1088) + 0)**2 - -1*((-3*(sqrt(1088) - (sqrt(1088) + 0)))**2 - (sqrt(1088) + sqrt(1088)*2 + sqrt(1088))*1).\nAnswer: -32*sqrt(17) + 27200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -1, 751, -158, -3, 3 in descending order.\nAnswer: 751, 5, 3, -1, -3, -158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t + 26*t = 207. Suppose -s - f - 5 + t = 0, 3*s = -2*f + 13. Solve -s*h = -8 + 3 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5122455.\nAnswer: 3, 5, 13, 109, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3820 = -26*x + 31*x. Let c = x - 339. Is c a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 450 and 1095.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -7701, -7597, -7453, -7275, -7069?\nAnswer: -6841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -1\/14  (b) -13  (c) -2\/7  (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round -16.52 to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 14 - 11. Suppose 0 = 6*d + 3 + p. Does 13 divide (10\/20)\/(d\/(-58) + 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = b**2 - 6*b + 6. Let x be h(6). Is 8 a factor of (x\/8)\/((-1)\/(-32))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 4, 1\/2, -6\/11, -654, -2\/115?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -57 + 134. Calculate the remainder when h is divided by 27.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 3 - (-4)\/(4\/(-3)). Let v(t) = -t - 1. Let d be v(4). Which is the second smallest value?  (a) d  (b) 2  (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1264 divided by 16\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2472726349?\nAnswer: 571, 1069, 4051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort -87, 5, -13 in increasing order.\nAnswer: -87, -13, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9 + (-10 - -4) - 16 - (-6 - -7).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -1 divided by 108034\nAnswer: -1\/108034","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**(2\/7))**6)**(-8) assuming y is positive.\nAnswer: y**(-96\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 779239\/36 + -21644. What is the common denominator of o and 95\/12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i - 5*i = -2*b - 14, 5*b = i - 27. Let p(l) = -2*l**2 + l**3 + 7*l**i - 8*l - 3 + 0*l**3 + 0*l**3. What is the remainder when p(-6) is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -59a61 (base 12) to base 10\nAnswer: -120745","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*l + 2*l = 6, 3*v - 5*l - 57 = 0. Let x be -2 - 5\/((-15)\/v). Solve 0 = -2*y - x, -5*u + 5*y = -0*u - 25 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = 198*o**2. Let y(f) be the first derivative of 4*f**3\/3 + 466. Give w(y(t)).\nAnswer: 3168*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 6726389 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: (-6)\/3*32410\/(-1852)\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 70 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -5\/23405538 or -1?\nAnswer: -5\/23405538","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = -28*w**3 - 4*w**2 + 3*w + 4. Let r(j) = -56*j**3 - 7*j**2 + 5*j + 7. What is -7*m(s) + 4*r(s)?\nAnswer: -28*s**3 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3502?\nAnswer: 2, 17, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zeu when three letters picked without replacement from {z: 1, m: 1, e: 3, u: 5}?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a**(-4\/5)\/a)\/(a\/(a\/(a\/(a*a\/(a*a\/a**2))*a)*a)))**(-17\/5) assuming a is positive.\nAnswer: a**(68\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) be the second derivative of 5\/12*v**4 - 1\/3*v**3 + 0 + 0*v**2 - 2*v. Find the second derivative of f(p) wrt p.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + 2*1*((-1 + (sqrt(7) - sqrt(7)*-1))*-6 + 2) + 5.\nAnswer: -24*sqrt(7) + 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 11\/27 and -25\/423?\nAnswer: 1269","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = -v**2 - 15*v + 44. Let c(g) = -g**2 - 17*g + 45. Let q(t) = -5*c(t) + 6*o(t). Let s be q(4). Let j be 20\/6*(4 - 1). Which is smaller: j or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = -212982*v - 8. Give w(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = -13805 + 27604 - 13799 - 1066*s. Let r(l) = -7*l. Calculate r(h(p)).\nAnswer: 7462*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand -76*n - 211*n - 27*n + (-n + 0*n - n)*(1 + 9 - 2).\nAnswer: -330*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11*q + 6*q - 5*q + 17*q - 8*q.\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 54156 = -362*n + 350*n. Round n to the nearest one hundred.\nAnswer: -4500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 264172379 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a - 64 = -5*i, 4*i - 5 = -4*a + 3*a. Let b = a - -9. Let f be 5\/b + 18\/(-36). Is -1 < f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 45833864387 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -5.95968969 rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*u + 12 = 0, 4*h - 5*u + 1 = -4 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 200 - 101. Let m = -72 + f. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*o - 36 + 14. Suppose -12*g + 251 = -o*g. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*d + 812 = 22*d. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i - 15 + 69 = 0. Let y be -4 - i\/(-5) - (-16936)\/(-10). What is the hundreds digit of y\/(-8) - (-6)\/(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 32603*q - 7568*q**2 - 32603*q - 3868*q**2 to the form t*q**2 + f*q + r and give t.\nAnswer: -11436","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = -3*l - 4. Let g(n) be the first derivative of -n**5\/60 - n**4\/24 + n**3\/6 - 3*n**2\/2 + 2. Let q(y) be the second derivative of g(y). Determine q(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 22 divide 20904?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 310 minutes before 12:40 AM?\nAnswer: 7:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1912 is divided by 666.\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 103901 is divided by 3836?\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort -29, -8, 11, -5, -3 in descending order.\nAnswer: 11, -3, -5, -8, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -193\/11040 and 149\/300?\nAnswer: 55200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 1\/3, 5, -200, 2\/7, 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -135483, -272861, -410237, -547611, -684983?\n\"Answer: l**2 - 137381*l + 1897","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = f**3 - 22*f**2 + 103*f + 1. Determine r(7).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -112614 (base 11) to base 15\nAnswer: -380ea","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -18 + 12. Let c(j) = j**2 + 5*j + 6. Is c(n) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*z + 5*z = 57. Let k(h) be the first derivative of 0*h + z + 0*h**3 - 5\/4*h**4 - 7\/2*h**2. What is the second derivative of k(o) wrt o?\nAnswer: -30*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 125 is divided by 58.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2\/5443 + 5439\/10886. Let t be (-44)\/(-204) + (-2)\/6. What is the closest to p in 1, t, 1\/13?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 304 - 19. What are the prime factors of m?\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7847.\nAnswer: 7, 19, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(sqrt(143) - sqrt(143)*-1) + sqrt(143) + sqrt(143) - sqrt(143))\/sqrt(11).\nAnswer: -sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 44 divided by 1149\nAnswer: 44\/1149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Divide -875483 by 2.\nAnswer: -875483\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nl when two letters picked without replacement from {n: 2, l: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -62416 divided by -47.\nAnswer: 1328","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(-12\/11)*(z**11\/z)\/z)\/(z*z\/(z**(-12\/11)*z)*z*((z**(-1\/6)\/z)\/z)\/z) assuming z is positive.\nAnswer: z**(527\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 35306051?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 713, 713, 715, 719, 725, 733?\nAnswer: 743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 30\/35 - (-2)\/14. Let v = m - -5. Calculate the lowest common multiple of v and 9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 39047655 and 731.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.1  (b) -1  (c) 2\/9  (d) -1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -5056 + 23656?\nAnswer: 16600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 57238 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 1690 from 4509.\nAnswer: 2819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round 1.58369 to 1 decimal place.\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (1\/4)\/((-4)\/(-56)). Which is smaller: w or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = -2*p**2 - 3*p. Let z be w(-2). Let f be -2 - (-2 - 2 - -3). Which is bigger: f or z?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 1ecb + -30b?\nAnswer: 1bc0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 5 + ((-3520)\/256 - 2\/8)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = -85*p + 6. Let x(w) = w**2. Calculate u(x(y)).\nAnswer: -85*y**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -90, -93, -268, -753, -1686, -3205?\nAnswer: -5448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1819 + 1618.3. Let j = 207.99 - -3.01. Let x = j + g. Round x to zero decimal places.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 913.3792 millennia in years?\nAnswer: 913379.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1629, 1647, 1665?\nAnswer: 1683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = w**2 - 9*w + 5. Let g be k(9). Suppose 10 = 2*m, -m = 5*z + 8 - 33. Find the third derivative of -10*q**2 + 9*q**g - 9*q**2 + z*q**2 wrt q.\nAnswer: 540*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.12 - 0.98. Let u = p + 0.1. Suppose -2*q = 4*w - 4, 0 = -3*w - 3*q + 2*q + 5. Which is greater: u or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 35.5 and -0.2.\nAnswer: 35.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Does 34 divide 4119505?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 71181084 and 656?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (117*z**2 - 117*z**2 + 44*z**3 + (-4*z**2 + z**3 + 4*z**2)*(0 - 2 + 1))*(4*z - 3*z + 0*z).\nAnswer: 43*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -9.7945 and 5.\nAnswer: -48.9725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -31, -88, -177, -292, -427, -576, -733?\nAnswer: -892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 441 = 5*m - 919. Calculate the least common multiple of m and 16.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 49\/(-21)*2640\/(-616). Solve -k - 5*y = -f, -15*k + 11*k - 17 = y for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(-5 + (sqrt(5) + -2*sqrt(5))**2 - (sqrt(5) + (sqrt(5) - sqrt(55)\/(sqrt(22)\/sqrt(2)))**2)) + (sqrt(100)\/(sqrt(2)*2))\/(sqrt(80)\/(sqrt(32)\/sqrt(4))).\nAnswer: 11*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 q and 1 h when two letters picked without replacement from qqhhndqqqdddqhqqhdh.\nAnswer: 40\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1889.\nAnswer: 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -4, -2\/13, -0.2, -2\/105?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = -7*j + 14. Let s be b(-2). Suppose 5*k - 10 = 4*k. What is the lowest common multiple of k and (1*-5)\/((-7)\/s)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = 3*t + 4 - 9 - 4*t - 3. Let u be z(-13). Find the third derivative of q**5 - 4 + q**2 - 6*q**u + 4 wrt q.\nAnswer: -300*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-4170)\/(-11900) + (-2)\/(-4). Let z = -6\/119 + l. Let t = 25 - 24.7. What is the closest to 0 in t, z, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 2  (b) 16  (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 3 - 4)*(-q**2 - 3*q**3 + q**2) - 360*q + 360*q + 33*q**3.\nAnswer: 27*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.03 - 0.07. Let o = i + -0.02. Let n = o + 0.02. Round n to 0 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 5 - 4. Suppose 0 = 4*b - 12, 2*w = -3*b + 8 + g. Suppose -5*k + w*k - 85 = -5*x, x = -3*k + 9. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = a**2 - a + 1. Let k(x) = 2*x**2 - x + 9. Let q(n) = -c(n) + k(n). Let o(v) be the first derivative of q(v). Let w(p) = 18*p**2. Determine o(w(l)).\nAnswer: 36*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -12*6\/(-81)*(-558)\/2108*(-2)\/(-4).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 223 - 217. Which is the second smallest value?  (a) -21\/4  (b) h  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 18307*g + 137 - 137.\nAnswer: 18307*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -c2 - -5?\nAnswer: -bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of (-4)\/18 + (1280\/90 - 8) and 104?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 + (-12 + 7 - 7).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is (-438)\/(-9)*(31 - 4)\/1 a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 32\/(-195) + (-107520)\/(-115200).\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 46*p = -15*p - 63*p - 4*p + 9856 for p.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in nineteen quarters of a year?\nAnswer: 57","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 6, m: 2, o: 2, u: 1, x: 3}. Give prob of sequence oo.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = -z**3 + 85*z**2 - 1311*z + 938. Give w(65).\nAnswer: 223","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = -9*v - 1 - v**2 - 5*v - 6 + 2*v. Let x be n(-5). Suppose -p + s - 7 = -3*p, 5*p - s = x. Sort p, 2, -4.\nAnswer: -4, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 13905 and 5425731.\nAnswer: 2781","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -8887 + 35549\/4. Factor v*g**3 - 1\/4 + 1\/4*g**2 - 1\/4*g.\nAnswer: (g - 1)*(g + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (0 - 3)\/((-3)\/(-2)). Let q(n) = -n**2 + n + 22. Let u be q(5). Put w, 1, u in descending order.\nAnswer: u, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -a - 3 + 7. Suppose -4*i - a*r + 4 = 0, 5*r = 2*i - 5*i + 1. Solve i = -2*u - 2*s + 4, -4*u - 14 = -2*s for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 51\/8 of a litre in millilitres?\nAnswer: 6375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-10)\/(-810)*6)\/((-504)\/25704)?\nAnswer: -34\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (21\/(-10304))\/(45\/(-12)). Let a = -18863\/5520 + l. Find the common denominator of a and 29\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-1 + 1\/1)\/1. Suppose -30 = -14*h - h. Let w be (-2 + 6)*1*-1. Put p, h, w in descending order.\nAnswer: h, p, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*f - 5 - 3. Suppose -f*x - 22 = 2*n - 3*n, 0 = n - 5*x - 13. Let o = n + -16. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 69717 is divided by 850.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -10100110101 (base 2) to base 13\nAnswer: -7b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 503957 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 5421.758 + -5438. Let g = c - -16.4. Round g to 2 dps.\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 106\/10 + (-186)\/(-465). Let i(x) = -x**3 + 11*x**2 + 2*x - 14. Give i(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (0\/(-2))\/3 + 0. Suppose -5*v + 0*v + 55 = s. What is the remainder when 20 is divided by v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -2\/9  (b) -0.4  (c) -10  (d) -0.5  (e) 854  (f) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 6030.2 times -3\nAnswer: -18090.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand -32*h + 6*h - 10*h + (-2*h + 0*h + 4*h)*(0 - 3 + 1).\nAnswer: -40*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Total of -3.418 and 54260.\nAnswer: 54256.582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*s + 4*s - 2*s)*(-2*s - 4361*s**2 + 2*s - 12401*s**2).\nAnswer: 33524*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = 872667*l**2. Let o(q) = 5*q. What is o(g(z))?\nAnswer: 4363335*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -f**3 - f**2 + 464*f - 23. Give i(21).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -253?  (a) -7  (b) 0.03  (c) -0.1  (d) 0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1953 + 1780. Is f at most as big as -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) be the first derivative of -1631*b**4\/4 - 586*b**3\/3 + b - 3915. What is the third derivative of j(t) wrt t?\nAnswer: -9786","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 42655.\nAnswer: 5, 19, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 8, g: 3}. What is prob of picking 3 g?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 5, -14, -59, -142, -275, -470, -739?\nAnswer: -1094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 4455 + -4404. Calculate the remainder when 105 is divided by r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -1, -2, 14, 5 in ascending order.\nAnswer: -4, -2, -1, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3638521928?\nAnswer: 2, 19991, 22751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 193 - -1?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -128, -491, -1094, -1937?\n\"Answer: -120*x**2 - 3*x - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -152247 and -0.1.\nAnswer: 15224.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put -1.26, 4, 0.4 in decreasing order.\nAnswer: 4, 0.4, -1.26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -4 + (-3 - (3 + -10))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + -1 + sqrt(7) - (-2 + (sqrt(28)\/sqrt(4))**2) - ((sqrt(56)\/sqrt(2))**2 - sqrt(28)*2).\nAnswer: -37 + 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = 84*v**3 + 4*v**2 - v - 2. Let w be y(1). Let t = w - 80. Factor 1\/2*n**t - 1 - 2*n**3 + 3\/2*n + 0*n**4 + n**2.\nAnswer: (n - 1)**3*(n + 1)*(n + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1230.1 - -1230. Let f(j) = j**2 + 4*j - 16. Suppose 24 = -4*s + l, -3*s + 2 - 7 = -4*l. Let h be f(s). Put h, t, -2\/9, -1\/4 in descending order.\nAnswer: h, t, -2\/9, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2172 = 112*n + 1612. Solve -20 = n*c + 10*s - 15*s, -c - 3*s = 4 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 79181749 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = 2*u**2 + 18*u + 18. Let i(f) = f**2 + 9*f + 9. Let p(x) = -7*i(x) + 3*v(x). Let s be p(-8). Let t = -128\/5 + 26. Which is smaller: s or t?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -38\/45 and -64\/525?\nAnswer: 1575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = -2*g**2 + g - 3 + 3*g**3 + 1 - 2*g**3 - 2*g**3. List the prime factors of m(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -1150728, -1150724, -1150720, -1150716?\n\"Answer: 4*k - 1150732","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -104 (base 8) in base 10?\nAnswer: -68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -1906376319 divided by 3?\nAnswer: -635458773","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -219 in 0.3, -8, -1, -91?\nAnswer: -91","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = -12*u**2 + 2*u + 1. Let z be y(-1). What is the units digit of z\/(-26) + 146\/4?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = 15*z + 130. Is f(24) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000007881 to 7 decimal places.\nAnswer: 0.0000079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y\/y**(-1\/4)*y**(2\/11))\/(y\/((y**(-1\/3)\/y)\/y))**(-13\/6) assuming y is positive.\nAnswer: y**(3427\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from sirirrii. Give prob of sequence sii.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -3 + 15. Calculate the highest common factor of 300 and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y*y**(2\/9))\/y)**(37\/2)\/(y*y**(6\/5)*y)**(-44) assuming y is positive.\nAnswer: y**(6521\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**1*h**(-1\/4)*h**(-1\/12)*h*h*h*(h*h\/h**(-6\/5))\/h)\/((((h\/h**0)\/h)\/h)**23*((h\/(h**(-2\/17)*h))\/h)\/(h*h\/((h**(-7)*h)\/h))) assuming h is positive.\nAnswer: h**(9881\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -11 - (-31 - (-25 - (10 + -20))) - (-2 + 13).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jfjfjmhjjhbjhf. Give prob of sequence jbf.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from qqqqqqq.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5170 = j + 2*z, -3*z - 7283 = -5*j + 18489. List the prime factors of j.\nAnswer: 2, 2579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = 31*o**3 - 7*o**2 + 12*o + 37. What is the hundreds digit of t(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert -aa7a1 (base 15) to base 2.\nAnswer: -10000100010000011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 m and 1 r when two letters picked without replacement from oozozonooormooon.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:13 AM and 7:57 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = 1761*z - 15768. Calculate o(9).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h**(4\/5)*h**(-9\/2)*(h*h**(-9\/2)\/h)**2 assuming h is positive.\nAnswer: h**(-127\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = -a**3 - 2*a**2 - 6*a + 1. Let w be y(0). Let n(q) be the first derivative of q**2 - 8\/15*q**3 - 2\/5*q - w. Determine h, given that n(h) = 0.\nAnswer: 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 12 - 5 - 5 - 73*o**3 + 0 + 2*o**3 + 0 + (-5 + 4 + 3)*(5*o**3 - 3*o**3 + 0*o**3) + 0 - 3*o**3 + 0 to h + i*o**2 + d*o + z*o**3 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 177 - 603?\nAnswer: -426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 4\/2*(-84)\/(-24). Let z be (r + -3 + -4)\/(-2). Suppose -7*o + o + 2442 = z. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 20842?\nAnswer: 2, 17, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 5 - 43 - (-3 + (-6 - -17))\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 266983344?\nAnswer: 2, 3, 79, 7823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-6)\/5*1140\/(-171). Suppose -396 - 140 = -x*p. List the prime factors of p.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -14*z + 414 - 64. Solve -w + 4*u = -z, -5*w - 3*u = -2*u - 20 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) be the first derivative of x**4\/4 - 5*x**3\/3 + 3*x**2\/2 + 7*x + 4. Let k(n) = -7*n + 1. Calculate the remainder when w(5) is divided by k(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = 2*l + 1. Suppose f - 5 = -3*y, y + 5*f = -4*y + 25. Suppose -3*m + 1 = -v + 8, -3*v + 9 = -5*m. Put l, y, v in ascending order.\nAnswer: v, l, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = -b**2 - 10*b - 11. Let r be n(-8). Suppose r - 7 = -t. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 7b7527 - -39?\nAnswer: 7b7563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor -i**2\/3 - 458*i\/3 - 52441\/3.\nAnswer: -(i + 229)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 6436 + 1649. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -236 - -569. Let i(w) = 30*w - 57. Let x be i(2). Suppose -y = -5*z + 2*m, -x*z + 167 + 48 = -5*m. What is the tens digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -0.5  (b) 1\/5  (c) 7  (d) -0.038\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify b**8*b\/b**46*b*b*(b\/(b\/b**16))\/(b\/b**(1\/20)) assuming b is positive.\nAnswer: b**(-399\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = -3*x**2. Let s = 14 + -12. Let q = 0 - -1. Let y(t) = -t**s + q - 1. Give c(y(k)).\nAnswer: -3*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 297 and 33?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1160\/127 or 67.3?\nAnswer: 1160\/127","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n + 0*b = -b + 261, 3*b = -9. What are the prime factors of n?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 587964.37246 from 28.77.\nAnswer: -587935.60246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: (3 + (-1 - -82) - (-61 + 64 - -12)) + -3\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*n**2 - 5*n**4 - 9*n + 3*n**4 + 2*n**2 - 14*n + 25*n - 9 to d + g*n**3 + q*n + w*n**2 + t*n**4 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) be the second derivative of -i**7\/504 + i**6\/360 - 5*i**4\/12 - 8*i. Let g(o) be the third derivative of q(o). Find the second derivative of g(v) wrt v.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ddd when three letters picked without replacement from dddddddddd.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 400, 406, 424, 460, 520, 610, 736, 904?\n\"Answer: s**3 - s + 400","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 + (12 - (13 - 4)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(4\/7))**(-5\/14) assuming t is positive.\nAnswer: t**(-10\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 113\/1246 or 1?\nAnswer: 113\/1246","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -128*u - 1254*u**2 + 44*u + 39*u - 890*u**3 + 1254*u**2 + 44*u.\nAnswer: -890*u**3 - u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 155\/186*5\/(200\/4)\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 122 a factor of 134970?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 6.79387 - 1569264080\nAnswer: -1569264073.20613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 1, p: 6, n: 4, h: 3}. Give prob of picking 2 h and 1 p.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2\/31 or -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v - 1 = -u + 1, 0 = -u - 5*v + 2. Suppose -2*c + 3*j = u, -5*j + 0*j + 10 = 0. Calculate the least common multiple of c and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) be the second derivative of o**3\/3 + 2*o. Let q(p) be the second derivative of 0*p**2 + 7\/6*p**3 + 9*p + 0. Determine q(l(j)).\nAnswer: 14*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -4115c0 (base 13) in base 3?\nAnswer: -2212001211122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {n: 1, f: 1, w: 2, g: 2, z: 1, i: 1}. Give prob of picking 1 f, 1 z, 1 w, and 1 n.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -376 (base 8) in base 12?\nAnswer: -192","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 12 + 10220200?\nAnswer: 10220212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 4577 a factor of 884139090?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 51660, 103323, 154984, 206643?\nAnswer: 258300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 12, 103, 268, 519, 868, 1327, 1908, 2623?\n\"Answer: 2*c**3 + 25*c**2 + 2*c - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve m + 2*a = -2, -m + 27 = 2*m - 5*a for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00034871125 rounded to six decimal places?\nAnswer: -0.000349","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 5*2\/((-8)\/4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = -m**4 - m**3 + 183*m**2 + 580*m - 1. Let a(o) = o**3 + o + 1. Let u(n) = a(n) + p(n). Find the second derivative of u(w) wrt w.\nAnswer: -12*w**2 + 366","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(2\/15))**34*h**13*h\/h**(-8) assuming h is positive.\nAnswer: h**(398\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 544 and 1102?\nAnswer: 299744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 at most 123\/104648?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve f = -u - 6, -52*f = -55*f + 3*u - 12 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1\/8301968 or 0?\nAnswer: 1\/8301968","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p + 575 = 3*i, 0 = i + 2*i + 4*p - 605. What is the greatest common factor of i and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = 2*t**3 + 2*t**2. Let y(u) = 5*u**3 - 4*u**2 + 27*u - 1. What is -2*l(w) - y(w)?\nAnswer: -9*w**3 - 27*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*b + 46*b - 66 = 0. Solve -r + b*o - 3 = 0, -2*o = -2*r - 4*o - 12 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 divided by -7392.\nAnswer: 1\/3696","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j + 19 = 18. Suppose 10*v = -v + 22. Solve -j - 1 = 2*q - 2*b, 2*b = q - v for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 41*n = 43*n - 4. Suppose -4*x = -9*x + 45. Let j(h) = x*h - h - 3*h - 2. Calculate j(n).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 370 + -357. Solve 3*c + 2*y - 4*y - z = 0, 18 = -2*c - 4*y for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 77288432, 77288431, 77288430, 77288429, 77288428, 77288427?\n\"Answer: -s + 77288433","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*z + 4, 2*z - 5*z = 2*y - 249. Is 5 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) be the third derivative of -55*s**8\/336 - s**5\/60 + s**4\/24 + 90*s**2. Find the third derivative of k(r) wrt r.\nAnswer: -3300*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0062312 rounded to 4 decimal places?\nAnswer: 0.0062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:05 AM and 5:01 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -2811289790784 less than -0.01?\nAnswer: 2811289790783.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(-4 + (sqrt(325) - (1 + sqrt(325)))**2 + sqrt(325) + 3 + (4*(sqrt(91)*-2*-1)\/sqrt(7))**2).\nAnswer: -1664 - 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a - 11 = q - 2*a, -2*a + 18 = 2*q. Suppose -q*p - d = -764, -2*p + 4*p - 3*d = 309. Is 9 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find k such that k**4\/2 - 143961*k**3\/2 + 287917*k**2\/2 + 143961*k\/2 - 143959 = 0.\nAnswer: -1, 1, 2, 143959","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by -310\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i**3\/6 + i**2\/6 - 5*i\/3 + 4\/3 = 0. What is i?\nAnswer: -4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11812444 = 476*f - 175*f. Is 10 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*y**2\/5 - 14296*y\/5 + 14298\/5.\nAnswer: -2*(y - 1)*(y + 7149)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 55 - 54.9. Let g = -0.36 + -0.14. Which is the smallest value?  (a) g  (b) 1\/8  (c) k  (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) be the second derivative of 9*u**5\/20 + u**4\/2 - u**3\/2 + 10*u. Suppose v(f) = 0. Calculate f.\nAnswer: -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19 = 3*m - 11. What is the derivative of m*v**2 + 36 + 36 - 3*v**2 - 37 wrt v?\nAnswer: 14*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 101\/2, 2\/7, 1\/3, -37.725?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 18676 - 18486. Calculate the remainder when m is divided by 61.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.269 in 3, 7\/3, 0.09?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.5, 12, 1, 3?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -14 + 14.5. Which is the closest to 0.5?  (a) -1\/2  (b) -3  (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*q - q + 0*q.\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 11, 48, -3, -2 in descending order.\nAnswer: 48, 11, 5, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = -j + 21. Let t be q(7). Suppose -2*a = 2*x + t, -x + 2 = -0*x - 2*a. Let d(f) = -33*f - 24. What are the prime factors of d(x)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -9 - -9.4. Let p = 0.38 - 0.08. Let m = p - 0. Put y, -5, m in descending order.\nAnswer: y, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 786735.\nAnswer: 3, 5, 17483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (1 - 0)\/(-4)*-4*9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.287, 2, -1, -21?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -4.988 - -5.188. Let m = -2 - -1.6. Which is the second smallest value?  (a) x  (b) -0.05  (c) -2  (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -9 + 7. Let o = 2 + h. Let t = 92\/627 - -2\/57. What is the biggest value in t, 1\/6, o?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (((-6)\/25)\/(-1))\/((-100)\/(-125))\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {d: 3, y: 3, c: 3, t: 1, a: 3, n: 2}. Give prob of sequence cyy.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 3016777184?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 377*i - 679*i + 158023 - 2311 = 2942*i for i.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = f**2. Let h(m) be the second derivative of 3*m**5\/40 - 5*m**3\/6 - m. Let q(j) be the second derivative of h(j). Calculate o(q(t)).\nAnswer: 81*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 4113 and 66265.\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 289919 or 289981?\nAnswer: 289981","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express -14*j - 1 - 8*j + 27*j - 3*j**3 in the form c*j**3 + p + r*j + y*j**2 and give r.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 1, 0.4, 0, 2.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-28)\/(-7))\/(-28))\/((-3)\/(-7)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = -1 - 2*l - 6 - l. Is b(-8) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n + 2*m - 6 = 0, -m - 3 = -7. Let t be (2\/7308)\/(112\/41622). Let u = -3\/464 + t. Which is greater: n or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vhyvaql. What is prob of picking 1 q, 1 a, and 1 y?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -34\/27, -4\/9, -1?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -c (base 14) in base 2?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.1 or 15430227?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"}
{"text":"Question: Simplify j\/j**(-38)*j*(j*j*j**8)\/j*j**(-2\/101)\/j**(2\/79) assuming j is positive.\nAnswer: j**(390611\/7979)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) be the second derivative of b**5\/20 - b**3\/6 - b**2\/2 - 4*b - 3. What is p(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -30978 (base 13) to base 15.\nAnswer: -1ad03","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"}
{"text":"Question: Let b be -4 + 69\/18 + 0. Sort b, 4, 1\/4 in descending order.\nAnswer: 4, 1\/4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h = 33959 + 160461. Let j = 816892\/21 - h. Let v = j - 46\/3. What is the closest to v in -2\/7, 0, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o*o*o**(-7\/5)*o*o\/(o*o**(-9)))**33\/((o\/(o*o*o**0\/o))**(-38)\/(o\/(o\/(o\/(o*o\/(o\/o**(-1\/3))))))**(-5\/16)) assuming o is positive.\nAnswer: o**(83927\/240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = -9396*s**2 - 132*s + 10054. Let o(k) = 1879*k**2 + 24*k - 2010. Let c(y) = 22*o(y) + 4*u(y). What is the derivative of c(g) wrt g?\nAnswer: 7508*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -321001 + 4?\nAnswer: -320553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of ((-342774)\/27 + 0)\/((-1)\/12*4).\nAnswer: 2, 137, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(22)\/(sqrt(2) - sqrt(14)\/(sqrt(49)\/sqrt(7) + sqrt(7))))**2 - (-3*(sqrt(55) + sqrt(2695)) + sqrt(55))\/sqrt(5).\nAnswer: 44 + 23*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jhjr when four letters picked without replacement from {i: 1, k: 3, h: 1, j: 3, r: 2}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z - 94 = -4*c + 4*z, -2*c - z = -53. Let v = -25 + c. Solve 2 = n + 3*f, -3*n - 2*n + 5*f - 30 = v for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2792*(8\/16)\/((-2)\/(-4))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 55b6 + 41?\nAnswer: 5617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = m + 13. Let r(q) = 4*q + 5. Let k be r(-3). Let l be i(k). Suppose -2*z = l*s - s - 9007, 0 = 4*s - 4*z - 7200. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = 4*w**2 - 46*w + 26. What is u(11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 513 = 3*i - 5*x, i - 3*x - 172 = -x. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c - 7 = p, -2*c = 4*p - 2 + 6. Is ((-6)\/(-24))\/p + 462\/8 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = y**3 + 9*y**2 - 11*y - 14. Let b be s(-10). What are the prime factors of (-90)\/(-8) - (45\/(-12) - b)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 148*c = -223*c - 21*c + 392 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (t + 4*t - 11*t)*(0*t - 4*t + t)*(-t - t + 4*t).\nAnswer: 36*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 530308367 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Divide 92979 by -152.\nAnswer: -92979\/152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is eleven halves of a millisecond in microseconds?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = i**3 - 82*i**2 - 253*i - 121. Determine b(85).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = y - 1 - 7*y - 2*y + 7*y. Let k be r(-5). Solve 3 + 18 = 5*j + b, 4*j - k*b - 36 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 558493 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 2625487?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 600, 597, 592, 585?\nAnswer: 576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*q - t - 32, 4*t - 10 = q + 9. Let u(k) = -k**3 - 8*k**2 - 6*k + 10. Let f be u(q). Suppose f*v - 18 = v. Is 3 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*k + p + 0 = -6, -4*p = -3*k - 1 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -3.22 + 3. Let x = s - -0.02. Let u = -11\/4 - -5\/2. Which is the third biggest value?  (a) u  (b) x  (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 0.04005569 and 1.243?\nAnswer: 1.20294431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) be the first derivative of q**4\/4 + 37*q**3\/3 - 21*q**2 - 125*q + 66. Let n be f(-38). Solve 3*u - 3*y - n = 0, -5*y + 4 + 1 = 5*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 21180 is divided by 1238.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y\/y**(2\/9)*y*y\/y**(8\/7)*(y**0*y)**(-34))**(-4\/13))**(-29) assuming y is positive.\nAnswer: y**(-236524\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4046\/(-162) - 1228\/49734.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (12 + -8)*2\/(-4). Let v = -507\/1030 - -19\/206. Which is the nearest to v?  (a) -0.2  (b) 4\/11  (c) l  (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 35220000 to the nearest 1000000.\nAnswer: 35000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kehh when four letters picked without replacement from hvvkehkhh.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n**3)**(-37))**(-40) assuming n is positive.\nAnswer: n**4440","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = 3*m**2 - 2*m - 1. What is the smallest common multiple of w(2) and 2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve s + 2*f - 3 = 4*s, -s - 2 = -f for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert -22001 (base 3) to base 14.\nAnswer: -117","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = 3*g + y - 15, y = -5*g + 20. Suppose -m + 7 + g = 0. Solve 6 = c + 5*f, c - 3*c = -2*f + m for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -210 = -17*w + 22*w + 21*w - 2*x, 43 = -5*w + 3*x for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -104274, -104146, -103932, -103632, -103246, -102774, -102216?\nAnswer: -101572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 7988 and 108339247.\nAnswer: 1997","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = -2*x**3 + 49*x**2 - 16*x + 83. Let o be z(24). Suppose -4*v = -59 - 41. Calculate the highest common divisor of v and o.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 79 + (-234 - (-100 - -28)).\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -157 + 2*p**2 + 0*p**2 + 5221630*p - 5221630*p.\nAnswer: 2*p**2 - 157","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) be the second derivative of 389*g**4\/12 + 25*g**3\/2 - 17*g**2\/2 - 906*g. What is the second derivative of c(d) wrt d?\nAnswer: 778","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = -7*j**3 + 11*j**2 + 9*j + 16. List the prime factors of x(-10).\nAnswer: 2, 4013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c + 2*z - 805 = 3*z, 5*c - 4*z = 1330. Suppose -102 + c = 4*o. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = -5*h - 42. Let c be (-19)\/((1 + -2)\/(-1)). What is the tens digit of p(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = -14*z. Let b(c) = 5*c - 9*c + 7*c. What is t(b(s))?\nAnswer: -42*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (25 - -1) + 2 + -2. Suppose -2 = 93*q - 240*q - 2. Solve -s - 25 + r = q for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = 42*y**2 + 34*y**2 + 9 + 97*y**2. Is s(4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = 3*c - 2. Let a be 12 - 2 - (0 - 0). Suppose -25*j - 18 = -27*j. Let o(i) = 4 + 7*i - j + 0*i. Calculate a*n(m) - 4*o(m).\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -24670 - -0.3\nAnswer: -24669.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -107046 - -162053. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 742213?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q = 3*g + 29, -3*q + 24 = -0*q - 3*g. Let f = q - 1. What is the first derivative of 0*k**4 + 0*k**4 + 3*k**4 + 4 + 0*k**f wrt k?\nAnswer: 12*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r + r = -5*m - 95, -3*r + m - 61 = 0. Let n be (3 - (-88)\/r) + 3\/5. Which is bigger: n or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 0.3, 0, -31, -2821, -3 in increasing order.\nAnswer: -2821, -31, -3, -1, 0, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 225 + -134. List the prime factors of ((-78)\/j)\/(1\/(-322)).\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -260 or -267?\nAnswer: -267","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -45 = -4*u - 89. Let d be 12\/24 + u\/2. Let s = -0.065 - -0.065. Which is the nearest to -1?  (a) d  (b) 0.4  (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2\/(10\/(-40)*2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 46963 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 4735881+-3.2544\nAnswer: 4735877.7456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 95787234.\nAnswer: 2, 3, 41, 129793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 20573 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 874001 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n*n**(-1))\/n)**47*n**3*n**(3\/2)\/n assuming n is positive.\nAnswer: n**(-87\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u - 6 = 5*x - 0*x, 0 = x - u - 6. Let f be ((-18)\/(-4))\/(2\/4). Solve -q = x*q + f for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00140102 rounded to four dps?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from {t: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-54)\/72 + (-46)\/(-8). Solve 4*r - 5 = b*w, 5*r = 5*w - 0 + 5 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -44*u - u**3 - 31*u + 132 - 25*u wrt u?\nAnswer: -3*u**2 - 100","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -71cb + -69?\nAnswer: -7256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -9 times -0.1?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d - 12 = -60. Let r be (-2)\/(-9)*(-3 - d). Suppose -h + 107 = h - 3*m, 262 = 5*h - r*m. Does 17 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wt when two letters picked without replacement from mmwwttgae?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1663, -6281, -13993, -24805, -38723, -55753?\nAnswer: -75901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = 3*r + 2. Suppose -x = -2*n + 47, -125 = -9*n + 4*n + 4*x. Suppose b + 1200 = n*b. What is the smallest common multiple of b and s(2)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 15 divided by -4099\nAnswer: -15\/4099","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 33 in -3\/2, -0.3, -0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = 5*f + 35. Let y(l) = 8*l + 7. Let b(s) = -9*s - 8. Let k(o) = -5*b(o) - 6*y(o). List the prime factors of k(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = s**3 + 9*s**2 + 11*s + 10. Calculate o(-8).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v + 3*l = -19, 16 = -0*v + 3*v - 2*l. Let k(f) = -f - 4*f - 3 + 5*f**2 - 7*f**v. Calculate k(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -36*h - 509*h + 1587 = -16*h. Sort -3610, h, 0 in descending order.\nAnswer: h, 0, -3610","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w - 5*o = -1765, -73*o + 4330 = 5*w - 77*o. Is 5 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 27 (base 15) to base 8\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 28904590?\nAnswer: 2, 5, 11, 13, 17, 29, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = -2*s**2 - 71*s - 437. What is the remainder when 989 is divided by m(-27)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c + 5*l = -3, 7*l - 2*l + 69 = 4*c. Let a = 13 + -6. Calculate the lowest common multiple of c and a.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -21*n + 25*n + 5*y - 36 = -11, 105*n - 5*y = 20*n + 865 for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is three eighths of a tonne in kilograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = 509*x**2 + 3941*x + 123. Calculate t(-8).\nAnswer: 1171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 0.7*53\nAnswer: 37.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8373 is divided by 42.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) be the third derivative of -v**4\/4 - v**3 - 239*v**2. Let m(k) = -k. Determine -2*j(n) + 10*m(n).\nAnswer: 2*n + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -44 = 1042*w - 1046*w for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 i and 1 r when three letters picked without replacement from xxxrixrixrxx.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = i**3 + 7*i**2 + 2*i + 3. Is u(-6) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 19037203 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c + 55 = 4*c. Let q = 3040 - 3039. What is the derivative of 1 + q + 19*u - c + 0 wrt u?\nAnswer: 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = -10*f - 19. Calculate d(12).\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: (15 + (-2961)\/168)*(1 - (0 + -7))\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*r + 60 + 44. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 2 + 3313331322?\nAnswer: 3313331330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: (87 - (-285907)\/(-3161))\/((-2)\/29)\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = -3*y**2 + 17. Give s(0).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -10 - 9653d3?\nAnswer: -9653e3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -197\/2238579 or -1?\nAnswer: -197\/2238579","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 72293558?\nAnswer: 2, 113, 319883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 25444352 is divided by 8481449.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 2*-3 + (1 - 0). Let p(a) = -a**3 - 4*a**2 + 2*a + 5. Let b be p(-4). What is the third smallest value in b, r, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) be the second derivative of -205\/6*c**3 + 7*c + 4\/3*c**6 - 40\/21*c**7 + 50\/3*c**4 + 0 + 111\/4*c**5 + 15*c**2. Solve n(q) = 0 for q.\nAnswer: -2, -1, 1\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = -13*u - 16. List the prime factors of h(-10).\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(30)\/(sqrt(10) + sqrt(640)*-2).\nAnswer: -sqrt(3)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 48821350, 48821349, 48821348, 48821347?\n\"Answer: -q + 48821351","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 26.6 - 26.6000337. Round z to six dps.\nAnswer: -0.000034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u - 2*u - a + 401 = 0, -114 = -u - 3*a. Suppose u = 35*r + 29. Calculate the highest common divisor of 34 and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = m**3 - m - 3. Let j be x(2). Let g(b) = b. Let p(c) = -3*c. Calculate j*p(q) + 5*g(q).\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 5512308031 to the power of 1\/6, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (0\/(2 - (5 - 2)))\/(-2). Suppose g = 3*v - 0*v - 4*h - 97, -5*v + 3*h = -147. What is the remainder when 106 is divided by v?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = -1003*r - 29085. Give d(-29).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence caac when four letters picked without replacement from {a: 10, c: 4}?\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 200*s - 226*s. Solve -u = 4*b - 3*u + 8, 3*b + 2*u - 1 = s for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gg when two letters picked without replacement from gcccggcc?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14 + 844*h + 4303*h**2 - 8620*h**2 + 4315*h**2.\nAnswer: -2*h**2 + 844*h - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10 = -21*z + 16*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -4 - -14450545?\nAnswer: 14450541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {e: 2, h: 1, w: 1, m: 4, t: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4382330?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 0.4 * -69\nAnswer: -27.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = 20*h**2 + h. Suppose -5*d = -0*p - 4*p + 24, -p + 2*d = -3. Let f(w) = 4*w**2. Give p*f(a) - 2*o(a).\nAnswer: 4*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = 1171*t**3 + t**2 - 1. Is f(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = -4 - 4*t + 3*t + 5 + 0. Let n be o(4). Calculate the lowest common multiple of (-40)\/n*24\/20 and 2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = -x**2 + 10*x + 3. Let k(a) = a**2 - 4*a - 3. Let m be k(6). What is the remainder when 23 is divided by o(m)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = 3*b, 4*b - 8*b - 1781658 = 5*m. Let o = -923666 + m. What is o rounded to the nearest one hundred thousand?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 264\/11*2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 17.01 + -17. Let l = 1021 + -1025. What is the third smallest value in 4\/7, l, 2\/25, d?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r = 2*b + 10, -b - 5 = -6*r + r. Suppose -668 = -5*v + 377. Suppose 2*o = -3*x + v, -2*x - x + 15 = r. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5630813 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) be the third derivative of -91 + 1\/105*a**7 - 2*a**2 + 7\/20*a**6 + 0*a**3 + 0*a + 1\/6*a**5 - 5\/24*a**4. What is the third derivative of y(n) wrt n?\nAnswer: 48*n + 252","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c - 64*l = -67*l - 15, 4*c - 12 = l. What is the nearest to 0 in -4\/11, c, -0.4?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 28846 to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 11000 - 110?\nAnswer: 10010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 7 and 736?\nAnswer: 5152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + sqrt(275) + sqrt(99) + 2.\nAnswer: 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.185002 rounded to three decimal places?\nAnswer: -0.185","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 1824423015 a multiple of 127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0 + 168*i**4 - 169*i**4 - i - 1 to f*i**4 + x*i**3 + k + o*i + z*i**2 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -73*i*q**4 + 10418*i - 194*q**3 - 5*q wrt q?\nAnswer: -876*i*q**2 - 1164*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -1376092 + -0.8?\nAnswer: -1376092.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 109\/22 and 10\/99.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -208406  (b) 0.4  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -35037 divided by -143?\nAnswer: 35037\/143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Determine s, given that -2*s**3 - s**3 - 12*s**2 + 144*s + 78 - s**3 - 206 = 0.\nAnswer: -8, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12 = -w + 5*x, 13*x - 16*x + 15 = 2*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5*j**3 - 43 + 39 + 9 + (-24 + 8 - 7)*(3*j**2 - 3*j**2 - j**3) to g*j**3 + w + v*j**2 + x*j and give g.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*g + g + 0*g)*(0*g - 2*g + 0*g) + ((-43 + 43 + 9*g)*(2 + 3 + 0) + g - 6 + 2 + 2)*(3 - 5 + 1)*(-4*g + 0 + 0).\nAnswer: 182*g**2 - 8*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2323, 1680, 617, -860, -2745?\nAnswer: -5032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1 - -14. Suppose q = y + 3*u, 2*u = 3*y + 9 + 7. Sort 5, -1, y in increasing order.\nAnswer: y, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i + 1892 = -94. Let v = 31453\/12 + -2623. Calculate the common denominator of v and i\/(-112) - (-2)\/7.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.4?  (a) -2  (b) 27  (c) -437\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -8 - -10. Suppose a*d = -p + 5*p - 42, 4*p = -4*d - 24. Let s = d - -15. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -542 divided by 3\nAnswer: -542\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 581137?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1358871 by 452957.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is (-140)\/36*(-2517)\/4195*6\/(-637)?\nAnswer: -2\/91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -1 + (-5 - -3) + 20\/8. What is the third biggest value in -4, 2\/85, b, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/2 > -22982200?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 40153 equal to 2529661\/63?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 601 + -234. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -235*b + 495 = -190*b. Let a be (-74)\/(-5) - 4\/(-20). Solve -a = -4*v - b for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -5\/3 or -371.17504?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 2028 or 0.116?\nAnswer: 2028","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000002418 to seven dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 20889?  (a) 3  (b) -21  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1\/14 - (-90)\/(-924)*165.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*f - 12*f + 128 = 0. What is the tens digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4488\/59 greater than 77?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-175)\/(-9100))\/(1\/(-8))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor s**2 + 46621*s + 46620.\nAnswer: (s + 1)*(s + 46620)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.6  (b) 1\/4  (c) 36\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 59*i - 26*i = -99 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.3 - -1.3. Let i = -39.5 - -39. What is the nearest to 1\/2 in 5, i, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 614*q - 4588 + 46879 = 1757*q for q.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = j**3 - 6*j**2 + j - 4. Let l be p(6). Find b such that -6*b + b - 4*b + 3*b**l + 0*b = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = y + 26. Let d be r(-29). Let x be (17 - d)\/(-4)*-1. Let v(g) = g**3 - 6*g**2 + 3*g + 5. Let q be v(5). Put x, q, -2 in ascending order.\nAnswer: q, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 102.965 rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 459 and 25083?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h + 3 = -2*h. Suppose m = 3*i + 5*m - 10, 0 = 2*i + h*m - 7. Suppose 2*w - 2*y - y - 9 = 0, 5*w - i*y = 6. Solve w = c - 3*c + 6 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -480*b = -472*b - 256. What is the greatest common divisor of b and 4352?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -1666615 + -20?\nAnswer: -1666635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -11 - 19 - 4*u + 30 + 7*u**4 wrt u?\nAnswer: 84*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -10.8 - -10.33. Let p = w + 0.27. Let c = 0 + 3. What is the closest to p in 2, -1\/11, c?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4033485?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(121)*2*3 + sqrt(121) + (sqrt(121) + sqrt(121) + sqrt(121)*5*1 - sqrt(121)))\/((sqrt(132) + 2*sqrt(132)*4)\/((sqrt(144) - -1*sqrt(144))\/sqrt(12))).\nAnswer: 26*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = 4*z**3 + 3*z**2 - 8*z - 13. Let d(h) = -9*h**3 - 6*h**2 + 17*h + 28. Determine -6*d(t) - 13*f(t).\nAnswer: 2*t**3 - 3*t**2 + 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3555 = 162*x + 1305 for x.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u = -5*j - 2*u + 14, 4 = -3*j - 5*u. Let z(v) = -57*v - 7. Let d(o) = 85*o + 10. Let f(t) = 5*d(t) + 7*z(t). Is f(j) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = -39*o - 31*o - o. Let g(l) be the third derivative of -l**4\/12 - 1205*l**2 + 2*l + 4. Give j(g(y)).\nAnswer: 142*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round 25913350 to the nearest 1000000.\nAnswer: 26000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4*q**2 + 2*q**2 + 4*q**2)*(25 + 18 - 7)*(-q - 4*q + 4*q) as l*q**3 + p + i*q**2 + r*q and give l.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1213 - -1225. Solve 0 = -14*k + 2*k - q for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve j = 4*h - 17 + 5, -3*h + 4*j + 22 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 2601 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 12\/9 + 2 + (6\/(-18) - -2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*m + 0*m + 2*m**3 + (m + 2*m - 4*m)*(-2*m + 2*m + m**2) - 2*m**2 + 2*m**2 - 6*m**3 + (m**2 + m**2 + m**2)*(-m + 5*m - 11*m).\nAnswer: -26*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = -l**2 + l - 1. Let g be y(1). Let n be (-2)\/(-10) + (-44)\/(-5). Let c be ((-8)\/(-30))\/((-6)\/n). Which is bigger: c or g?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3 + 6 - (1 - 3)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0003396 rounded to 5 decimal places?\nAnswer: 0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l - 15 = -2*l, -2*o = -l - 19. Let z be 2 - 2 - 0\/(-3). Suppose 4*r = 24 - z. Calculate the lowest common multiple of r and o.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 16432 - 15312. Calculate the highest common divisor of w and 200.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 679?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 25.2 + -25. What is the closest to -3 in y, -3, -0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 6\/25 of a milligram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -436 + 1 + 1 + -4. Is r\/(-2) - (-4)\/2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1222111222102 - -121?\nAnswer: -1222111221211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = 50*u + 6. Let p(c) = -97*c - 11. Give -9*o(d) - 4*p(d).\nAnswer: -62*d - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r = 3*f - 58, -5*f = 5*r - 7*r - 62. Suppose f*x + 63 = 17*x. Let h = -2 + x. What is the remainder when 89 is divided by h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -11730280.687 and -9.3.\nAnswer: -11730289.987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = -b**3 - b**2 - b. Let m = 34 - 35. Give u(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/4 in 0.5, 2\/5, -1\/9, -38, -5, 23\/334?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2)\/1)\/((-36)\/(-18)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -61, -131, -213, -283, -317, -291, -181?\n\"Answer: 4*p**3 - 30*p**2 - 8*p - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 10011111011101001110 (base 2) in base 9?\nAnswer: 1204834","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(304)*2 + sqrt(304))**2 + 0 - -1*(1*sqrt(304))**2 - 5*(sqrt(304)*-2)**2*-4.\nAnswer: 27360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 17 + (6 - -6 - 17 - -11) + 3?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 j and 1 v when three letters picked without replacement from hjhjhjjjzqjjvjh.\nAnswer: 4\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -309*c = -323*c + 56. Suppose 14040 = 4*y - 0*y. Is y\/4 + 1*2\/c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 53\/2596 and 61\/31034.\nAnswer: 682748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 + 3 = -2*b, -27 = -y + 5*b. Let p = y + -15. Let i(k) = -k**2 - 8*k + 1. What is the remainder when p is divided by i(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5\/((-400)\/(-216)*(-6)\/176*-22).\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 12254943?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: (-22 - -9 - -2) + -3 + -1 + 2\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = -0*r + 3*r. Let y(h) = 2*h**3 - 2*h - 4*h**2 - 3*h - r*h**3 - 2 - h**3. What is the tens digit of y(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -3 - -5. Let l(p) = 0*p**2 + 6*p**a + 14 - p**2 + 4*p - 4*p**2. Is l(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -58\/59337 and -65\/20583.\nAnswer: 135703719","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -957.1 + 957. Let u be 0\/(-2) + -1 - 0. Suppose j + 2*k - 9 = 2*j, -5*k + 21 = -4*j. Which is the nearest to j?  (a) 0.3  (b) l  (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3740000 divided by 680?\nAnswer: 5500","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is seventy-one quarters of a gram in milligrams?\nAnswer: 17750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1423 - 616. What is the tens digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1363 is divided by 35?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -373*k + 43*k**2 - 27*k**2 + 1 - 9*k**5 + 99*k**2 wrt k?\nAnswer: -180*k**3 + 230","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 11908 and 576627038?\nAnswer: 5954","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 70 at most as big as 73?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2051 - -2111. What is the smallest common multiple of y and 3\/(-2) - 35\/(-2)?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find r such that 682*r**2\/15 - 908*r\/5 - 16\/15 = 0.\nAnswer: -2\/341, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 699 divided by 233\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -3, -80, -0.5, 0, 1\/2, 0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 27 a factor of 925?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 552667 is divided by 1443.\nAnswer: 1441","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*z + 2*c + 47, 114 - 185 = 5*z - 4*c for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*z + 4*d = -60, 7*z + 106*d + 97*d = 288*d - 90*d + 105 for z.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 225264.8 millimeters in centimeters?\nAnswer: 22526.48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (9578*r + 11053*r - 17673*r)*(10*r**3 + 8 - 8) to the form w*r**4 + o*r**3 + i + n*r**2 + g*r and give w.\nAnswer: 29580","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:26 PM and 2:25 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 168455205.\nAnswer: 3, 5, 3743449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b - 5 = -5*q, q - 9 = -4*b - 2*q. Let p be -1*3*2\/b. Let v be 528\/7194*1\/4. Which is bigger: p or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 19053790, 19053787, 19053784?\n\"Answer: -3*m + 19053793","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1846 - 1661. What is the remainder when y is divided by 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 553202 is divided by 183.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*u + 99 = 39, 0 = 5*r - 5*u - 90 + 5 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:23 PM and 3:27 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) be the first derivative of 0*j**3 + 23\/4*j**4 + 0*j**2 - 14 + 21*j. What is the first derivative of z(v) wrt v?\nAnswer: 69*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gzjg when four letters picked without replacement from {z: 6, e: 2, j: 5, g: 1, i: 5}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = 4*n. Let l(k) = 48*k + 51. Let h(v) = 24*v + 28. Let q(p) = -11*h(p) + 6*l(p). Determine j(q(b)).\nAnswer: 96*b - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-13*r - 17*r + 12*r)*(-5 + 1 + 1)*(2 - 3 - 1)*(2 + 1 - 1 + (-1 - 1 + 3)*(3 - 2 + 2)) to the form i + p*r and give p.\nAnswer: -540","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*s**5\/7 - 50556*s**4\/7 + 252680*s**3\/7.\nAnswer: 4*s**3*(s - 12634)*(s - 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c = -l - 1, 5*c + 13 = -3*l + 2. Is 12 a factor of (c - 2)\/(3\/(-6))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = 35*i**2 - 4*i - 4. Let g be n(-1). Suppose 31 = -k + g. Solve 3*z = 3*t - 12, k*z - t + 3 + 1 = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*y = -559*o + 561*o - 56, 2*y = 5*o - 80 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = v - 9. Determine d(9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is (12\/(-220))\/(((-8)\/10)\/4)?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 351*z - 4*z**2 - 351*z in the form k + g*z**2 + c*z and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o = -4*t - 9, -2 = -t - 4*o - 18. Let -22*c**2 - 3 + 3 + 38*c**2 - 4*c**t = 0. What is c?\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = -n**2 + 5*n + 6. Let b be r(6). Let j = -135 + 232. Let g = 97 - j. Solve g = -4*k - 4*t - 20, 4*t = k + 5 - b for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j + 3 + 12 = 0. Let r = j + 0. Let v be -1*(-2)\/4*0. Which is the smallest value?  (a) 1  (b) r  (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9528 divided by 397?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2\/35 or -4.392?\nAnswer: -4.392","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Total of -0.07 and 19.5.\nAnswer: 19.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-55*g + 3*g + 7*g)*(-2*g - g + g) + (g**2 - 4*g + 4*g)*(-1 + 0 + 0) - g + g - 2*g**2.\nAnswer: 87*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = -3*a**3. Let w(u) = -2*u**3. Let k(g) = 6*c(g) - 10*w(g). Determine t so that k(t) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in six fifths of a minute?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*j**4\/13 - 534*j**3\/13 - 47526*j**2\/13 - 1409938*j\/13.\nAnswer: -2*j*(j + 89)**3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o = 3*p - 14, -p - 8 = -0*p + 5*o. Let c be -23*(p - (-1 + 4)). What is the highest common factor of 253 and c?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = 80*k + 2. Let z(p) = -2*p. Determine w(z(j)).\nAnswer: -160*j + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(5 + (-5 + sqrt(675)\/sqrt(9) + (sqrt(108)*1 - sqrt(3)) + 5)**2)*-6.\nAnswer: -1830","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 4 + -2. Let k = 7 - 4. Let w = k + -3.2. Sort h, w, 0.1.\nAnswer: w, 0.1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 6\/9 + 20\/(-21). Let l = 41.19 + -41.99. Let x = -8.4 + 10.4. Which is the closest to x?  (a) h  (b) l  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y**4\/3 - 136*y**3 + 11152*y**2\/3 - 12152*y - 48020\/3 = 0. What is y?\nAnswer: -1, 5, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*a, 3*v - 15 = -29252*a + 29248*a for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -4*((-6)\/4 - -1). Let w = -1 - -2. Suppose -r*n = -p + 6*p - w, 2*p = 2*n - 22. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -13 + 37\/3. Let d = -8 - -19. Let t = d - 6. Which is the closest to -2\/5?  (a) s  (b) 6\/7  (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 109554*o*w**2 + 1031*o - 15 wrt w?\nAnswer: 219108*o*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (0 + -4 + 4)\/(-2). Suppose 0 = -l*o - 3*o + 12. Solve 4 = 4*i - o*y, 2*y + 15 = -i + 4 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(228)*-1)\/sqrt(12)*-3*3.\nAnswer: 9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n**(4\/5)\/n)**(-39))**(-31\/3) assuming n is positive.\nAnswer: n**(-403\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 296 divided by 74?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 435*f = 5*k + 455*f + 30, f = -4*k + 6 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 3565081631?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = q**2 - 2*q + 3. Let t be x(1). Solve -t*k + k - 1 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -n + 4*n. Let i = -5 - 0. Suppose -6 = 2*z, -6*a + 10*a + 4*z - 16 = 0. Sort n, i, a in descending order.\nAnswer: a, n, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 5549000 to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 c and 1 v when three letters picked without replacement from {i: 1, c: 7, v: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 286425.\nAnswer: 3, 5, 19, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Total of 72 and -2523.0571.\nAnswer: -2451.0571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 850249 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 51877\/6 + -8646. Which is the fifth smallest value?  (a) -2  (b) 4  (c) y  (d) 3\/8  (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(-5)*c)**(-2\/43) assuming c is positive.\nAnswer: c**(8\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 148624*1.7.\nAnswer: 252660.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 1\/3*(-357 + 384)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2 + 6. Let n be (-1)\/m + (-400)\/(-64). Suppose -28*g + 25*g = -6. Solve 4*o = 2*x + n, g*x + 5*o = 3*x + 3 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 182 divide 100944?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 115134302?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:09 AM and 5:33 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from cuuuucuouccucuoxuco. Give prob of sequence oc.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = 5*y**2 + y - 1. Let v be m(-1). Let u be (-24 + 22)*v*-1. Solve 0 = -3*r + u*r + 15 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -2.4  (b) 2\/5  (c) 13  (d) 1  (e) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -301 divided by -7?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2 times -211161?\nAnswer: -42232.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z = -5*m, m + 5 = -4*z - 4*m. What is the second smallest value in -0.3, -2\/15, 2\/5, z?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 57032561 is divided by 623.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -960660 rounded to the nearest 10000?\nAnswer: -960000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (1 + 15\/(-6))*2. Does 19 divide (-2)\/y*(-285)\/(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-5 - -4) + (-1 - -4)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 191672664 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b - 3*d = -17, -4*d + 17 = -4*b + 5. Suppose -3*o = 2*q + 14, 0 = 5*q + b*o + 1 + 23. Let s be 6\/((-3)\/q*2). Is s not equal to 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4160005911 a multiple of 109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 17578802 to the power of 1\/2, to the nearest integer?\nAnswer: 4193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -4, 9, -0.3, -1\/6, 0?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Divide 118030 by 185.\nAnswer: 638","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = -1. Let x(l) = -l - 5. Let m(b) = -4*k(b) + x(b). Let t be m(-6). Let z = -4 + t. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -84 - -34. Let o = 48 + x. Let w = 107 + -539\/5. What is the third biggest value in o, w, 5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.155 less than 12.1?\nAnswer: 11.945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = -5*q**2 + 7*q. Let m(f) = 484*f**2. Give j(m(a)).\nAnswer: -1171280*a**4 + 3388*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = -z**3 + 7*z**2 + 258*z + 271. What is x(-12)?\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put 9825, -2, -1 in increasing order.\nAnswer: -2, -1, 9825","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21*r = -7*r + 7*r - 63 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7653522218.\nAnswer: 2, 3826761109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 533, 1035, 1537, 2039?\nAnswer: 2541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h and 2 x when three letters picked without replacement from {f: 4, h: 8, x: 2}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (y - 8*y - 4*y)*(-2*y**2 + 2*y**2 - y**2) + (-3*y + 3*y - 2*y**2)*(2*y - 3*y + 3*y).\nAnswer: 7*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 310 minutes before 1:17 AM?\nAnswer: 8:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 24311 - 24310.7. Which is greater: n or 16\/351?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 11341*i**3 + 7*i**2 - 4501.\nAnswer: 68046","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = -2*p**2 + 60*p + 12. What are the prime factors of x(28)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 360 and 270.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 3060 - 1149. What is the remainder when (-4)\/(-20)*-3 - v\/(-35) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 69031.59 weeks?\nAnswer: 41750305632","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 2\/(-3)*741\/2. Let r = j + -221. Let d = r + 768. Is 25 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = -2*t - 10. Let g be m(-8). Let d = 9 - g. Suppose -w - 20 = -d*w. List the prime factors of w.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3943?\nAnswer: 3943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 216\/21 - 8\/28. Let s(f) = 4*f**2 + 2*f + 24. Let n be s(-4). What is the highest common divisor of n and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12289 greater than -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/4 of a microgram in nanograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 341777.\nAnswer: 341777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o = 6 - 3. Let n be (2\/(4\/6))\/o. Factor -21*p - 142 + 3*p + n*p**2 + 157.\nAnswer: 3*(p - 5)*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -y - 3*y + 12. Suppose -2*v = -x + 3 + 9, x = -y*v + 7. Is x a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 6682934?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -17\/845 and -26\/21165.\nAnswer: 3576885","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert -8708 (base 13) to base 2.\nAnswer: -100100101001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (7\/2)\/((-2)\/(-4)). Suppose -5*m = -5*o - 6 - 14, 4*m - c = -5*o. Is m*19*(-2)\/(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1769 (base 10) in base 2?\nAnswer: -11011101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-30)\/(-12))\/(65\/39)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qxuqquuuqxbuqxux. Give prob of picking 2 q.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = k + 12. Let t be u(-8). Let v(a) = -t*a - 2*a + 3*a + 2*a. Let j(b) = b**2 - 3*b. Let c(r) = -r. Let m(z) = -3*c(z) + j(z). What is v(m(g))?\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 581 is divided by 88.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 - ((-143 - -130) + -1 + 15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in 2, 44, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1 - -1. Let j(c) = 9*c**3 + 3*c**2 - c - 2. Does 24 divide j(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 6\/25 of a kilometer?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 29995, 25618, 21241, 16864, 12487?\nAnswer: 8110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 254 minutes after 5:37 AM?\nAnswer: 9:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.6?  (a) 3  (b) 1  (c) 21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ue when two letters picked without replacement from {e: 1, u: 9, j: 1}.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = j**2 + 12*j - 34. What is d(-14)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor n**2\/3 + 226*n.\nAnswer: n*(n + 678)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*g - 16 = 0, -g = 5*v + 79 - 80 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -g**2 - 9*g - 4. Let b be v(-7). What is the common denominator of 69\/20 and (-934)\/(-160) + (-4)\/b?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 765 + -754. Suppose 5*j = 2*x + 5, 108*x - g = 3*j + 104*x. Let u(i) = -25*i. Let k(q) = -13*q. What is j*u(w) - 5*k(w)?\nAnswer: -10*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) be the third derivative of y**10\/2520 + y**6\/90 + 7*y**3\/6 + 7*y**2. Let t(u) be the first derivative of p(u). Find the third derivative of t(h) wrt h.\nAnswer: 240*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*v + j + 22, 0 = 4*v + 3*j - 20 + 8. Let x be 12\/3*(6\/2 + -1). Let m be 4\/x*-6 + 54\/3. What is the greatest common divisor of v and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0151529524 rounded to four dps?\nAnswer: -0.0152","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -61297*d**2 + 74432.\nAnswer: -122594*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 12295 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Divide 152 by -5.\nAnswer: -152\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 21580?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -6 - (0 + -4) - -6. Suppose -2*o - d = -501, -l*o = -0*o + d - 1003. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5041520 (base 6) in base 4?\nAnswer: 322110120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = r**3 - 8*r**2 + 8*r - 4. Let j be u(7). Suppose -4*c - c + 4*y = -137, j*y - 122 = -4*c. What are the prime factors of c?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 1, d: 1, r: 5, u: 2, j: 7}. What is prob of sequence jr?\nAnswer: 7\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*n + 4 = -r + 2, -4*n + 14 = 5*r for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 261745731?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -894569 (base 10) to base 13\nAnswer: -254240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) be the second derivative of -u**8\/4 + 11*u**4\/12 - 21*u. Let o(f) = f**6 + f**2. Let l(b) = -4*o(b) - 2*w(b). Find the third derivative of l(d) wrt d.\nAnswer: 2880*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 divided by 150872297.\nAnswer: -4\/150872297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 23 + -10. Let i = v + -7. Let m(o) = 3*o**3 - o**2 - 2*o. What is the remainder when m(2) is divided by i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 232 a factor of 1033139?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (0 - 1)*12\/60. Put 2\/5, m, 3, -3 in decreasing order.\nAnswer: 3, 2\/5, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 2 - ((-88)\/20)\/(-2). Which is the second biggest value?  (a) -4  (b) 1\/2  (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -2 + 25 - (0 - -1). Let a be 8\/12 + w\/3. Let k = -54 - -94. What is the greatest common divisor of a and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3\/13 in 0.06, -4, 0.1, -139, -2\/19?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 47, 183, 535, 1211, 2319, 3967?\nAnswer: 6263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = -t**2 + 7*t - 7. Let y be o(5). Let k(x) = x - 5. Let g(q) = 10 - 2 - 1 - 8 + q. Give y*g(m) - k(m).\nAnswer: 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + ((sqrt(196)\/(2*sqrt(4)) + sqrt(49))\/sqrt(7) + 1)**2.\nAnswer: 3*sqrt(7) + 71\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -1\/4, -0.4, 62, -52, -9?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:38 PM and 10:20 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l + 475 = 107. Suppose 3*u - 34 = l. Is 9 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -716, 6, 4, -4, 5.\nAnswer: -716, -4, 4, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (22\/24 + -1)\/((-557)\/4456). Which is the fourth smallest value?  (a) -0.01  (b) g  (c) 3\/2  (d) 1\/4  (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = 3*k - 3*k**2 - 2*k + 2*k**2 + 2*k**2. Let r be z(4). Solve -4*p + r = -8*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -21*d - 301 + 70. Put -1, d, -0.3 in increasing order.\nAnswer: d, -1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = v**3 - 11*v**2 - 56*v + 729. What is h(10)?\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 58 + 38*(-370)\/703.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = -d**2 + 4*d - 4. Let t(z) = 2*z**2 - 9*z + 9. Let f(o) = 9*j(o) + 4*t(o). Let v(m) = -3*m**2. What is v(f(w))?\nAnswer: -3*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*o - 204 = -3*l - 219, 0 = 3*o + 5*l + 23 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4873 is divided by 59?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -132 - -1195\/9. What is the third smallest value in y, -0.4, -3, 4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 218983.\nAnswer: 23, 9521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y - 3717 = -5*d, -5*d - 206*y + 3711 = -204*y. Solve d*h + 36 = 737*h for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9120 divided by -456.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 31359 + -31368. What is the third smallest value in -3\/8, -31, g?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*t = -2*t + 20. Suppose 2*u = -2721 + 2725. What is the lowest common multiple of t and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.05509 - 0.020800877.\nAnswer: -0.075890877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 558 and 267530.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round 8906705.561 to the nearest 1000.\nAnswer: 8907000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 65584.\nAnswer: 2, 4099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = b**2. Let p(w) be the second derivative of 122*w - 2\/3*w**4 + 0 - w**2 + 0*w**3. What is p(g(l))?\nAnswer: -8*l**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) be the third derivative of 0 + 11\/6*c**3 + 2*c**2 - 1\/24*c**4 + 0*c. Let s = -3737 + 3742. Determine p(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*v + 4*c - 26, 16 = 3*v - v + 5*c. Let y = 5 - 0. Suppose -2*g + 4*s + 20 = 0, -3*s = y*g - 4*s - 14. Put g, 5, v in decreasing order.\nAnswer: 5, g, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = 0*x**3 + x**3 - 2 - 54*x**2 - x + 82*x**2 - 24*x**2. What is a(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/15 of a century in months?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 48397\/21 + -7027\/3. Are d and -37 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 68\/13467 and 1\/27?\nAnswer: 121203","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = -7*o. Let t(d) = d - 2. Let x(j) = 10*j - 25. Let a(i) = -75*t(i) + 6*x(i). Give g(a(r)).\nAnswer: 105*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/3 in -1327, -6, -0.1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x = x - 24. Find the third derivative of 3*v**3 + 6*v - 6*v**2 - 2*v**3 - x*v wrt v.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 33 and 1617.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -h**2 - h + 6. Calculate v(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -11 + -30?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -4, 1, 51, -233, 4, 3 in descending order.\nAnswer: 51, 4, 3, 1, -4, -5, -233","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 u and 2 e when three letters picked without replacement from {z: 3, t: 7, u: 4, e: 3, k: 3}?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*g**2 + 5948*g + 349680.\nAnswer: 2*(g + 60)*(g + 2914)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4928494?\nAnswer: 2, 79, 31193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -4 - 41527?\nAnswer: -41533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Determine t so that -363*t**5 + 8348076*t**4 + 4555029*t**3 - 32771358*t**2 - 18214308*t - 2483784 = 0.\nAnswer: -2, -3\/11, 2, 22998","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*y + 13 + 1 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = b**3 + 9*b**2 + 10*b - 1. Calculate the remainder when 171 is divided by w(-5).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = 3*k + 60. Let s(f) = 3. Let c(y) = o(y) - 18*s(y). What is c(-6)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -66*(3\/(-3) - 0 - -2). Let q = -267\/4 - n. What is the biggest value in -3, q, -2\/7, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2805788983 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -725386 divided by 30\nAnswer: -362693\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {f: 3, s: 7, z: 4}. What is prob of sequence fssz?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -23 + 34. Suppose 5 = -5*z + 40. Let o = 4 + z. Is o smaller than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000924698 rounded to 4 decimal places?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = 206*x**2 + 168*x**2 - 557*x**2 + 178*x**2. Let h(z) = z + 5*z - 4*z. Calculate h(d(p)).\nAnswer: -10*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from tztrttzrzzt. Give prob of picking 2 t and 2 z.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 18 - 48. Let s = d + 26. What is the second biggest value in -8, s, -0.3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -31*q**4 - 7*q**4 + 952*q**2 + 0*q**4 + 5*q**3 + 616*q**2 wrt q?\nAnswer: -912*q + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -16 - -8. Let m = 12 + n. Find the second derivative of -8*q**2 - m*q**4 - q + 8*q**2 wrt q.\nAnswer: -48*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 98503 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 106, 547, 1730, 4027, 7810, 13451, 21322, 31795?\nAnswer: 45242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o = -3*z + 3 - 19, -4*o - 55 = 5*z. Let w(p) = -p**2 + 1. Let g(k) = -4*k**2 + 7*k + 13. Let s(t) = g(t) - 5*w(t). Is s(z) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-v**2 + 2 - 2)*(-v + v + v) - 2*v + 64*v**3 - 3*v - 58*v**3 + (-1 - 3*v - 3*v + 4*v)*(-v**2 - v**2 - 2*v**2) to i*v + q + k*v**3 + h*v**2 and give k.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = w**3 + w**2 + 2*w + 4. Suppose 85 - 81 = 2*l. Let v(f) = -5*f**3 - 4*f**2 - 9*f - 17. Give l*v(m) + 9*s(m).\nAnswer: -m**3 + m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express -141*a**2 + 12 + 0 + 70*a**2 + 82*a**2 as v + i*a + k*a**2 and give v.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find f, given that -f**4 - 868738*f**3 - 251579284404*f**2 - 24289224378518542*f - 898356933967148731 = 0.\nAnswer: -289567, -37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -41556.7 rounded to the nearest 1000?\nAnswer: -42000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1863884 divided by -484.\nAnswer: 3851","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 19.1 or -19?\nAnswer: 19.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in four thirds of a millennium?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find x such that -2*x**2\/19 - 20140934*x\/19 + 40281876\/19 = 0.\nAnswer: -10070469, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a - 12 = -3*p + 58, 2*a + 4*p + 100 = 0. Suppose 0 = 6*z + 312 + 282. Let k = a - z. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3032732nm in centimeters?\nAnswer: 0.00000003032732","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -97 + 108. Let t = -8 - -3. Let p = h + t. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2795 or -2794?\nAnswer: -2795","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -3775.8419 + 3776. Let j = -15.3481 + k. Let d = j + 0.69. Round d to zero dps.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 1*3*(-6)\/45 and 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 61767.\nAnswer: 3, 6863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8\/2 - (-63)\/(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = -g**3 + 2*g**2 + 11*g - 21. What is m(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 41 a factor of ((-6)\/(-4))\/((-2)\/(-164))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 4585 - 3609. Calculate the greatest common factor of 128 and m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000371 rounded to six dps?\nAnswer: -0.000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*q - 3831 = 257. Let t = -245 - q. What are the prime factors of t?\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = -2*v + 7*v, -3*l - v + 8 = 0. Let t be 5 - l - 2 - 16. What are the prime factors of ((t\/(-6))\/(-5) - -1)*176?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -47805266*p + 2*p**2 + 47805266*p.\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 13, 14, 9, -8, -43?\n\"Answer: -i**3 + 3*i**2 - i + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 174\/13 != -27991?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 151*r**3 + 5*r**2 - 327*r + 1651025.\nAnswer: 453*r**2 + 10*r - 327","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i - 384 = -20*i. Suppose 4*u + u + 37 = 3*r, -u = r + 1. Find the second derivative of 46 - 46 - i*m - 9*m**r wrt m.\nAnswer: -108*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 172322 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2.2 - 2. Let p be 2 - (-315)\/30*(-298)\/6. Let m = p - -520. Put -2, f, m in decreasing order.\nAnswer: m, f, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 - -17 - 16 - (0 - 1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -13990468515 + 11995.\nAnswer: -13990456520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 831 is divided by 403?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 0.077 times -120\nAnswer: -9.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -17813 or -17239?\nAnswer: -17813","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1422972 and 505908?\nAnswer: 1692","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 74472\/(-642)*-5*(-6)\/120?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = -11*i**2 - 8*i + 21. Let y(j) = 5*j**2 + 4*j - 10. Let q(t) = 4*r(t) + 9*y(t). Suppose 7*u - 2*u + 30 = 0. Determine q(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (3 - 4*q - 4 - 4)*(-7 + 7 - 13)*(-5*q + 4*q + 0*q) as v*q + p*q**2 + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-39)\/(-18) - ((-18)\/12 - -2). Let w = o - 16\/15. Let x = 0 + 4. Which is the closest to 1?  (a) -5  (b) x  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = -o**3 + 11*o**2 + 20*o - 99. What is n(12)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 229*l**2 - 141 - 192*l + 192*l**3 + 4923*l**4 - 49 - 4921*l**4 - 41*l**2 = 0.\nAnswer: -95, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 4  (b) -13\/5  (c) -0.4  (d) 9\/13  (e) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -67501 divided by 3542\nAnswer: -9643\/506","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -0.3 * 122.1\nAnswer: -36.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q + 20 - 11 = 0, -f = -4*q - 6484. Is 28 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 63.41  (b) 3\/329  (c) 4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -48 = -7*o - o. Let b be 1 + -3 + o - 1. What is the closest to -0.2 in -3, -3\/5, b?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by 4277605.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1620 and 1440?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 q and 1 t when four letters picked without replacement from qattaaatqaqat?\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor a**4 - 21*a**3 + 2*a**2 + 49*a**2 + 104*a + 9*a**2 + 64 + 35*a**3.\nAnswer: (a + 2)**3*(a + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 54 + -20. Let x = z - 24. Let q = x - 7. What is the third smallest value in -2\/7, q, 1\/8?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 22055 is divided by 334.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0010445485 rounded to 4 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (30*g - 28*g + 24*g + 42*g)*(-3 + 8 + 4).\nAnswer: 612*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 7329 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -39*m - 299869 + 1080454 = 0. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = -33*n**2 + 345*n - 418. Give c(9).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/(-10)*(-45)\/(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3?  (a) 33  (b) 8\/3  (c) -16  (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -25ab (base 16) to base 8\nAnswer: -22653","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 46002860 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 103*z + 153*z + 4 - 4.\nAnswer: 256*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = 0*b**2 - b**2 - 27 - 2 - 14*b - 1. What is the smallest common multiple of 10 and z(-10)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-5 - -6) + 5 + -17 + 0 + -4.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 49\/(-7)*(-2828)\/(-202)?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = -4 + 21 + 23 - q - 6. Calculate the remainder when v(-22) is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = -q. Let p(j) be the second derivative of -10*j**3\/3 - 3*j. Determine p(t(y)).\nAnswer: 20*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*x = x + 327 - 327. Let u(i) be the second derivative of 0*i**3 + 5\/6*i**4 + 0 + 16*i + x*i**2 + 1\/4*i**5. Factor u(w).\nAnswer: 5*w**2*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 613, 1224, 1819, 2392, 2937, 3448, 3919, 4344?\n\"Answer: -q**3 - 2*q**2 + 624*q - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = y + 7. Let w be f(-3). Suppose 0 = -s + w*s + 2*u - 120, -4*u + 80 = 2*s. Suppose 2*n + k - s = -n, 0 = 5*k + 10. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 0.2 and -4\/3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -5*29\nAnswer: -145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(567) + (sqrt(252) + -1)**2.\nAnswer: -3*sqrt(7) + 253","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 15\/(-10) - (-325)\/230.\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 0, 30, 10, 300, 5, -3.\nAnswer: -3, 0, 2, 5, 10, 30, 300","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 7992 to the power of 1\/2, to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0003104055547 rounded to 6 decimal places?\nAnswer: 0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-1)\/6)\/(34\/136))\/(4\/96).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((x*x**6*x*x\/(x*x*x**(-7)*x))\/((x**(-5)\/x)\/(x\/((x**3*x*x)\/x*x))))**46)**18 assuming x is positive.\nAnswer: x**12420","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*s - 7 = 3*k, -5207*k = -5202*k - s + 49 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 2, a: 2, x: 7, k: 6, q: 1}. What is prob of sequence xq?\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -6273, -33567, -60861, -88155, -115449?\n\"Answer: -27294*a + 21021","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 59\/50 and -119\/110.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 670 minutes before 9:47 AM?\nAnswer: 10:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:37 AM and 10:03 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 14.589 + 0.061. Let w = d + -15. Let s = w - 0.39. What is s rounded to one dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 14 divided by -7?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 12, 9, 7504?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m\/(m**3\/m*m))\/(m\/(m*m**(-6\/5)))*m**2\/m**(-5) assuming m is positive.\nAnswer: m**(19\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = -v**2 + 3*v + 4. Let h = 39 + -19. Let d be (8\/(-7))\/(h\/(-70)). Suppose 2*n = n + d. Calculate r(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = 2*s**2. Let m(d) be the second derivative of d**7\/2520 + 5*d**4\/12 + 4*d. Let g(i) be the third derivative of m(i). Calculate g(t(k)).\nAnswer: 4*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*x + 4*m + 6*m + 120, 0*x + 5*m = -11*x - 26 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 634 minutes before 4:46 PM?\nAnswer: 6:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = -11*a + 3. Let n(r) = -r. Let z be n(0). Suppose z = -x + 3*x. Let g(v) = x*v - 1 - 4*v + 2. Give 17*g(i) - 6*q(i).\nAnswer: -2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-432)\/(-96)*(4\/15)\/((-6)\/15). Which is the third biggest value?  (a) 3\/5  (b) z  (c) -0.4  (d) -0.34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 193978 - 6*c**3 - 193978.\nAnswer: -6*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 616951.8t?\nAnswer: 616951800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 153 + 103?\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f*f*f**(-3\/8))\/f*f)\/(f\/(f\/(f\/(f*f**12\/f))))*(f\/f**4)**(14\/3) assuming f is positive.\nAnswer: f**(-11\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 164998 is divided by 125.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.2 + 4.2. Let v = -2.312 + 3.312. Which is the closest to v?  (a) -0.1  (b) -0.5  (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 421, 846, 1271?\n\"Answer: 425*d - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -145\/3 - -48. What is the nearest to -3\/2 in -0.3, n, 1\/7?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 100001111011011 + 100110110?\nAnswer: 100010100010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 110011000000010 (base 2) in base 12?\nAnswer: 13142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 19.47132901 to the nearest integer.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = 9*h**3 - 17*h**2 + h - 3. Let w(a) = -5*a**3 + 9*a**2 - a + 2. Calculate 3*i(k) + 5*w(k).\nAnswer: 2*k**3 - 6*k**2 - 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-4 + 7)\/27 + (-2)\/(-6). Determine o, given that -t*o - 22\/9*o**2 + 0 = 0.\nAnswer: -2\/11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*d - j = 18, j = 4*d + 4*j + 21 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qaaq when four letters picked without replacement from {w: 8, l: 2, q: 2, a: 5, m: 3}.\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = y**4 + 1. Let r(g) = -g**4 + 6*g**2 + 6. Let x(d) = r(d) - 6*s(d). Find the third derivative of x(u) wrt u.\nAnswer: -168*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 2, -2\/7, 6, 1\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 278 + -110. Let q = -153 + y. Calculate the remainder when 402 is divided by q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = w**2 - 1. Let d = -72 - -77. Let c(j) = 7*j**2 - 5. Suppose 0 - 2 = 2*v. Let l(t) = d*y(t) + v*c(t). Let n(p) = -7*p. What is l(n(h))?\nAnswer: -98*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-10)\/(-55) + (-72)\/33. Let u = 27 + r. Is u a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence oqg when three letters picked without replacement from {o: 2, q: 1, m: 1, g: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = u - 2*i - 11, 13*i - 8*i = -25 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -66 + 66. Suppose -5*q + 4*j - 35 = 0, g = 4*q - 3*q - 3*j + 18. List the prime factors of q\/(6\/8 + (-243)\/300).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 21270.98 + -21044. What is d rounded to the nearest 10?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 167\/84744 and 55\/636.\nAnswer: 4491432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Divide -355688829 by -3.\nAnswer: 118562943","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 12824 - 13048.1. What is t rounded to the nearest ten?\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -68 + 73. Let l(c) = 2*c + 6*c - 2*c + 2 - x*c**2 - c**3. Determine l(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 6\/41  (b) -3  (c) -2\/3  (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 88 and 88.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (112\/(-18))\/(-14)*3*(-24)\/368.\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*i + 2 = -2*l, l = 4*i - 2*l - 10 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mh when two letters picked without replacement from mtmhththhtithhhmthmt.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 419 minutes before 4:35 AM?\nAnswer: 9:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -579\/2 + 10901\/38. Let h = -20551 - -184963\/9. Calculate the common denominator of h and p.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -12*h*w**3*z**2 + h*w*z - 5*w**3*z**3 - 5*w**3 - 4*w*z + z wrt z?\nAnswer: -24*h*w**3 - 30*w**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5218 is divided by 34?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) be the third derivative of 23*a**8\/28 + a**6\/120 + 10507*a**5\/60 - 2315*a**2 + 3. Find the third derivative of h(o) wrt o.\nAnswer: 16560*o**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = 2*q**2 - q + 1. Let v(b) be the first derivative of 2*b - 2 - 1\/2*b**2 + b**3. Calculate 5*p(d) - 3*v(d).\nAnswer: d**2 - 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = q**2 + 7*q + 2. Let n be h(-8). Let a be (-180)\/(-3)*1\/2. What is the greatest common factor of n and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 8734732883\/6979918 - 2\/317269. Let s = -1252 + d. What is the common denominator of s and 1\/(-2) - 117\/(-33)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s\/(s*s**(-1)*s)*s)**(-12))**(-1\/17) assuming s is positive.\nAnswer: s**(12\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -16*d**2 + 56*d**2 - d**3 + 38*d**2 + 64*d**2 to the form v*d**3 + s*d**2 + u + q*d and give s.\nAnswer: 142","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (48\/(-60))\/((-4)\/10). Suppose -5*k + 6*g + 412 = 4*g, n*g = 8. Let h = k + -12. Calculate the highest common factor of 8 and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 880500 rounded to the nearest one hundred thousand?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = -54*z + 102. Does 34 divide p(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 10562093, 21124186, 31686279, 42248372, 52810465, 63372558?\nAnswer: 73934651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -39 <= -47?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 665?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 12\/27*14*(-5)\/(-20).\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4144 (base 7) to base 3.\nAnswer: 1222211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2337971 to the nearest integer?\nAnswer: 1529","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) be the third derivative of 0 - 123*u**2 + 31\/4*u**4 + 0*u + 118\/3*u**3. Differentiate t(l) wrt l.\nAnswer: 186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30 = -2*k - 4*y, 24 + 11 = k - 3*y. Let l be (-3)\/((-18)\/(-4))*(k + -146). Is l at most 82?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 26158 and 323572?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 698660 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k = 4*i - i - 46, -i = 2*k - 46. Solve 0 = -o - 18 + k for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -225*s = 2*j - 222*s + 16, 3*s - 94 = 8*j for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve t**3 - 6178*t**2 + 1182605*t + 8581300 = 0 for t.\nAnswer: -7, 205, 5980","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(243) + -5*(sqrt(243) + -4) + 0)**2 - (1*sqrt(162))\/(-2*sqrt(864) - sqrt(6)).\nAnswer: -35997*sqrt(3)\/25 + 4288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -11 - (0 + (-2 - 0))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 8676 and 72?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 6 + (-11)\/11*4. Let m be 2\/(-5) - (-54)\/10. Suppose -10*o + m*o = -z - 97, -t*z + 6 = 0. What is the highest common divisor of 8 and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f + 7 = -3*a, 0*a - 4*a - 4*f - 4 = 0. What is d in -19*d**3 + 14*d**4 - 10*d**5 - 29*d**a + 20*d + 31*d**4 - 7*d**3 = 0?\nAnswer: -1\/2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -373 - -569. What are the prime factors of h?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -76 + 130. Let n = s + -27. Let v = 27.0000059 - n. What is v rounded to 6 decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = r**2 + 4*r - 4. Let i be n(-8). Let a = 72 - i. Let u = a - 36. Solve 5*z - 17 = u for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3042, 3044, 3046, 3048, 3050?\nAnswer: 3052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 97416834 is divided by 81?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 51 minutes after 2:05 PM?\nAnswer: 2:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-97170)\/(-42) + 24\/(-42)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.04174 - 44\nAnswer: -43.95826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 924*d**2 - 1399 wrt d.\nAnswer: 1848*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Total of -703 and -5.\nAnswer: -708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2 - 27 = 127*n - 17*n - 359 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p and 1 b when two letters picked without replacement from ppssspfbfbwwfsbs.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 276016255?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 7 divided by 10486\nAnswer: 1\/1498","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((0 - 7 + 2)*(-4*i - 4 + 4) + 2*i + 4*i - 3*i - 2*i + 3*i + 0*i)*(4*i - i - 2*i).\nAnswer: 24*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 52944788?\nAnswer: 2, 13, 109, 9341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: ((-15)\/(-20))\/(1098\/144 - 17)\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put 19, -410, 1, -2, 2 in decreasing order.\nAnswer: 19, 2, 1, -2, -410","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 30 + 159\/(-265)*(-236)\/(-12)?\nAnswer: 91\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = -62*v + 491. Suppose -181*d - 155*d = 7*d - 2744. Calculate r(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -91 = -27*d - 10. Solve 0 = h - 2*s - 9, d*s + 10 = -h - 6 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((15\/(-75))\/(((-6)\/28)\/3))\/2\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = -4*c**2 - 2181*c - 142633. What is o(-76)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 20 - 12. Let g = -88 + 110. Let p = 27 - g. Solve -p*o + i = -7 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = g**3 - 54*g**2 - 115*g + 164. Let p be q(56). Which is smaller: p or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = -2868*w + 3. Let m be k(0). Solve -m*t + 5*f = -23, 5*f + 9 = -11 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -186 or -1980?\nAnswer: -1980","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (15\/(-3) - 62)\/(-1) is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -23102132 (base 5) to base 6\nAnswer: -4232114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-10)\/55*5)\/((-215)\/(-86)).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 715 minutes after 2:31 AM?\nAnswer: 2:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -18 + 11. Let x(d) = -d + 1. What are the prime factors of x(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = -j + 47. Is r(12) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -3*m**3*t**2 - 301*m**3 + 8*m*t**2 - 2*m*t with respect to t.\nAnswer: -6*m**3*t + 16*m*t - 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*y = -34 - 1022. Is y a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = 5 + 5*c + 17*c - 3*c + 21 - c**2. Does 3 divide g(18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -42*s - 34*s - 988 for s.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = -2*q. Let n be z(-3). Let i = -8 - -12. Suppose 8 = 6*g - 4*g. Solve n = -i*x - j - g, 4*j = -x + 5 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 6 + -2. Let g be 31 + 0 + 3 - 4. Suppose 2*q + 2*r - s*r = g, -4*r = 5*q - 66. Solve -4*w + 3*u + 2*u - q = 0, 4*w - u + 6 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10159447 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r*r**(-6))\/(r*r**(8\/5))*(r**(1\/3))**(-10) assuming r is positive.\nAnswer: r**(-164\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0 + -0.1. Let o = -7 - -8. Let u = 0.1 - 0.1. What is the closest to u in o, p, 4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) be the first derivative of -z**3\/3 - z**2 - 5*z + 1. Let l(i) = -3*i**2 - 5*i - 9. Let k = -420675 - -420668. What is k*q(j) + 3*l(j)?\nAnswer: -2*j**2 - j + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n + 3*n = 6. Let r be 24\/3*1 + n. What is the second derivative of 6*v**5 - 5*v**5 + 7*v - 3*v**5 - 2*v**r wrt v?\nAnswer: -80*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*a = 14*a - 16. Suppose -w = a*p - 7, 3*w + 13 + 5 = p. Let m be (3\/6)\/(w\/(-600)). What is the highest common factor of m and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0203203 to 2 decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 822.\nAnswer: 2, 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1919?\nAnswer: 19, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -11 + 15. Let m be 3\/30*(j - 0). Let p = -0.009 + -0.161. Sort 1, p, m in decreasing order.\nAnswer: 1, m, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -223 in -4, -0.3, 61?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q - 2*a + 3 = -3*a, -a = -4*q - 22. Suppose 0*c = c - 11. Let p = c + q. What is the highest common divisor of p and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -8*b**6 + 4*b**4 - 210*b**2.\nAnswer: -960*b**3 + 96*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) be the first derivative of 3\/4*j**4 + 0*j**2 + 4\/3*j**3 + 0*j - 3. What is the third derivative of z(w) wrt w?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 28163 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 506277.\nAnswer: 3, 17, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -343415 - -4?\nAnswer: -343411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -3, 0.4, 3, 5, 5608 in decreasing order.\nAnswer: 5608, 5, 3, 0.4, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve f + 2 = 4*q, 50 = -13*q + 23*q + 5*f for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 590 a factor of 1968830?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/5, 0.1, -7\/3, 1\/4, 151.3 in decreasing order.\nAnswer: 151.3, 2\/5, 1\/4, 0.1, -7\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 3, -2, 8, -3, 5, -4 in increasing order.\nAnswer: -4, -3, -2, -1, 3, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.5 + -4.5. Let z = p + 3. Which is smaller: 1\/4 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 12019 - 12019. Are 19 and a unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7269*o - 2661*o + 72158 - 301254 = 24344 for o.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 166, 346, 538, 748, 982, 1246, 1546?\nAnswer: 1888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 627 and 31251?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 3 + 3)*(-2 - z + 2)*(-26 - 17 - 9).\nAnswer: 52*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve x - 8 = -3*n - 1, 3*n = -4*x + 19 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7 - (1 - (5 + 396\/4)) is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*2*(-1 + -6*2*sqrt(300) + -5 + sqrt(300) + sqrt(300) + -1)*1)**2.\nAnswer: 5600*sqrt(3) + 120196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:51 AM and 12:50 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 30072473*x**5 - 36006951*x - 2 wrt x?\nAnswer: 601449460*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -108.000091 - -108. Round p to five dps.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3856717997 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 207 minutes before 12:28 PM?\nAnswer: 9:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -191\/1099980 and -61\/7560?\nAnswer: 2199960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -u**3 + 4922998352432575*u - 4922998352432574*u.\nAnswer: -u**3 + u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (4\/3)\/(26\/3). What is the closest to -2 in v, -3.3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2*82.\nAnswer: -164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-6)\/(-27) - (-7 - (-58)\/18). Which is the fourth biggest value?  (a) n  (b) 0.4  (c) -53  (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 23\/32 and 75\/54904.\nAnswer: 219616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 2803433 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -209, -365, -471, -521, -509, -429?\nAnswer: -275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*m + 3*m + 0*m + 2 + m - 2 + (-4*m + m + m)*(-3 + 4 + 0) - 2*m + 2*m + 2*m + 3*m - m + 0*m - 63 + 14*m + 63 + 0*m + 2*m - 5*m.\nAnswer: 15*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2128454*b*n**2 - 48845*n**2 wrt b.\nAnswer: 2128454*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -4864, -19488, -43862, -77986?\nAnswer: -121860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3*-2805649.\nAnswer: -8416947","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (5 + 7*q**2 - 5)*(4*q**2 + q**2 - 4*q**2) + q**4 + 0*q**4 + 3*q**4 to the form j*q**2 + w*q + r*q**3 + h*q**4 + u and give h.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -2 - -6. Suppose z*s = 4*r - 224, 3*s = -r - 4*r + 256. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 4133240 - 2?\nAnswer: 4133234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 63 + 57 - 4*i - 127 + 29*i.\nAnswer: 25*i - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 428942 is divided by 143.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (6\/4)\/((20\/(-8))\/5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 4 - -7. Let i = -26 - -27. Calculate the lowest common multiple of p and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = -655*g**3 - 651*g. Let t(n) = -983*n**3 - 976*n. Let u(r) = -7*j(r) + 5*t(r). Find the second derivative of u(l) wrt l.\nAnswer: -1980*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 19*c**3 + 25*c**3 - 55*c**3 - 2*c**3 + 2*c**3 + 2*c**3 + 3 - 3 + 3*c**3 + (4*c**2 - 4*c**2 - c**2)*(-2 - c + 2).\nAnswer: -5*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) be the first derivative of 21*v**4 + 5*v**3\/3 - 5*v**2\/2 + 130. What is the units digit of a(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 563373, 563154, 562937, 562722, 562509, 562298, 562089?\n\"Answer: k**2 - 222*k + 563594","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 246 * 0.258\nAnswer: 63.468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1986276, -1986281, -1986288, -1986297, -1986308?\nAnswer: -1986321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 158\/2*-3*2\/1890 and -4\/11.\nAnswer: 3465","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1369 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of f - 1328*f**3 + 222639*f**2 - 221966*f**2 - 759*f**3 wrt f?\nAnswer: -12522","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -5636, 3, -2 in descending order.\nAnswer: 3, -2, -5636","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1486243?\nAnswer: 11, 71, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -39.5 - -39.1. Which is the closest to -0.07?  (a) 3  (b) q  (c) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 26*t - 16*t = -10 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3 - (4 - (2 + 4) - (5 + 2))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 62 + -25. Suppose -179*u + 175*u + 3208 = 0. Suppose -18*t + 21*t - 5*r = u, t - 254 = -r. What is the highest common divisor of t and d?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-295)\/472*1*(-3)\/15*-1.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = w - 2*u - 19, 0 = -3*w - 3*u + 39. Let l(h) = 19*h + 58. Is l(w) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 849967 or 850134?\nAnswer: 849967","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = -2*j - 5*o, 7*o - 2*o = -5*j - 50. Let u = 0 - j. Suppose u = p + p. List the prime factors of p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 3  (b) 184\/7  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 3 - 1)*(-3*r + 0*r + r) + 63*r - 37*r + 61*r.\nAnswer: 91*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.18 + 0.38. Let b = z - 4.2. What is the nearest to 2 in 2, b, 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 1*5*(4 - 3). Solve 5*t = b*r + 5, t - r - 13 = 3*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 107276 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: What is -6 (base 13) in base 10?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*-1*sqrt(125) - 4*(3*sqrt(20))\/sqrt(4).\nAnswer: -17*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Does 5279 divide 251513087?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 15 - 15.37. Let o = -0.03 + b. Is o greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (8\/(-2) - -5) + 7. Which is the third smallest value?  (a) j  (b) -0.5  (c) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 552 minutes after 8:12 AM?\nAnswer: 5:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 161094 - 6*d**2 + 6*d**5 - 161094 - 3*d**4 - 15*d**3 = 0. What is d?\nAnswer: -1, -1\/2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 224 (base 7) to base 8.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -43002 (base 5) to base 8.\nAnswer: -5475","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 + (-5 - (-8 - -4)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 44742 (base 8) in base 14?\nAnswer: 6c70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(1872) + -2 - (sqrt(13) + (sqrt(13) - (sqrt(325))**2 - sqrt(13)) + 5).\nAnswer: 11*sqrt(13) + 318","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 272 divided by -68.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = -q**2 + 3*q - 2. Let w be y(2). Solve -p + x = w, 5*p + 2*x = 3*p - 8 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -203321 (base 4) in base 10?\nAnswer: -2297","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 91 + -124. Is y at most as big as -33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = -k. Let g(o) be the first derivative of 0*o - o**2 - 1\/6*o**4 + 6 + 0*o**3. Let r(v) be the second derivative of g(v). Give d(r(u)).\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 4, 39 in ascending order.\nAnswer: -1, 4, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 313 minutes before 5:28 AM?\nAnswer: 12:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-21)\/(-6) - 4 - 207\/(-2). List the prime factors of h - 4\/(-3 - -2).\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 94.5 + -94.2. Let v = -2.31 + 2.3. Which is the third biggest value?  (a) 0  (b) v  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + ((sqrt(1216)*1 + 4 + sqrt(1216))**2 - (-2 + sqrt(1216) + -3)))*-3.\nAnswer: -14655 - 360*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = -w + 2. Let o be n(2). Suppose i = 2*g + 13, 0*g - 9 = 2*i + 3*g. Suppose 3*q - 3 = 0, -i*q = -3*a + 2*a - 3. Solve a = -o*p - 4*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 97320972, 97320971, 97320970, 97320969, 97320968, 97320967?\nAnswer: 97320966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r + 26 = 3*w + 5, -w + 7 = -r. Let q = 8 - w. Which is the third biggest value?  (a) -0.4  (b) 5\/2  (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from meatsme?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {d: 2, z: 10, h: 3}. What is prob of sequence hzh?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.4 in 1\/3, -3, 0.2089?\nAnswer: 0.2089","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = b**2 - b - 5. Let t be y(-4). Let k = -3 + t. Suppose 0 = -3*h + h + k. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 226 - 219. Solve -4*w - b = -11 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + ((5 + 2*sqrt(720) + 4)**2 - -4*(sqrt(720) + -1 + 3)**2))*-1.\nAnswer: -5856 - 624*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -25132 - -25162. Calculate the highest common divisor of 7635 and f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) be the second derivative of d**5\/200 - 6881*d**4\/120 + 592024*d**3\/3 - 591680*d**2 - 26*d + 56. Determine q so that t(q) = 0.\nAnswer: 1, 3440","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 77976718 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 t(c) = 137*c**2 - 325*c + 1151. Is t(-54) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1337 is divided by 14\/10 - (-67166)\/710.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 17343, 17342, 17341, 17340, 17339, 17338?\nAnswer: 17337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Determine l, given that 2*l**3 + 79*l**2 + 257*l + 180 = 0.\nAnswer: -36, -5\/2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rr when two letters picked without replacement from lrrlwrl?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 3602.9 + -3607.9. What is the closest to 0.05 in 4, -284, l, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2 divided by -3488648\nAnswer: 1\/1744324","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -10 - -17. Find the third derivative of -4*m**2 - f*m**3 - 5*m**3 + 5*m**2 wrt m.\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:10 AM and 5:47 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 17 - (-37 + 42 + -36)\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = b + 4. Let y = 2 + 12. Let s = y - 20. Let t be c(s). What is the second biggest value in 1\/5, 6\/11, t?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}