{"text":"Question: Let r = 0.014 + 0.009. Let u = -2.31674 + 2.339. Let w = u - r. What is w rounded to four decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 9690772 is divided by 605673.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*w - 5*i + 510 = 2*w, -4*w + 410 = 5*i. Does 25 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*u + 20 = u. Let d(h) = 3*h**2 - h. Let k(f) = 7*f**2 - 3*f. Let l(c) = u*k(c) + 9*d(c). Let o(i) = i. Calculate 2*l(y) - 6*o(y).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -4\/151 (b) -1\/5 (c) -3 (d) -0.4 (e) 0.569\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -980 + 1655 = -75*w for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 290037 and 13500938?\nAnswer: 5687","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let h(v) = v**3 + 6*v**2 - 7*v - 5. Let w be h(-7). Suppose 0 = -o + 2 + 1. Let y be (o - -1)\/(-8 + 7). Are y and w equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 0 + (sqrt(2736) + (sqrt(2736) - (-2 + sqrt(2736))**2)*5 - (-1 + (sqrt(2736)*-1 + sqrt(2736))**2)) + -2 + (2 + -2*sqrt(2736))**2 + sqrt(2736) + -1.\nAnswer: -2754 + 228*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 94*i - 18*i - 1005 - 287 for i.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 689 minutes after 5:15 AM?\nAnswer: 4:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let r(o) = -2*o + 27. Let y be r(12). Let w be 3 + 26\/y + 8\/(-12). Let k(g) = -g**3 + 12*g**2 - 12*g + 18. Let z be k(w). Solve z*x - 10*x = -12 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: 1733a5a (base 11) to base 3\nAnswer: 12112210001020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k(h) = h + 1. What is k(-11)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Work out 1 * -0.1365.\nAnswer: -0.1365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let x = 36.88 + 14.445. Let m = x + 0.075. Round m to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 1153 + -787. Suppose -5*w = 2*z - 2615, 2*w + 2*z - 680 = d. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l*l**(-31)*l*l**23)\/(l**(1\/26)*l*l**(1\/13)\/l) assuming l is positive.\nAnswer: l**(-159\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let w(j) = 3*j**2 - 13*j + 6. Let v be w(-8). Let y(z) = 300 + 5*z**3 + 3*z**2 - v - z**3. Determine y(-2).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {o: 11, i: 3}. Give prob of picking 3 o.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Round 0.024828099 to 3 dps.\nAnswer: 0.025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of ((-4)\/72)\/((-263)\/(-447)) and 73\/2367.\nAnswer: 4734","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-2)\/((-10)\/5)*(-8 - -5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4 - (-9 - (-11 + 5)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v = 98 + 51. Let m = 551 + v. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(r) = r + 4*r - 2 - 1 - 3*r. Let a be f(4). Let h(j) = -j + 11. What is the units digit of h(a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(168)\/sqrt(192))\/(5*(sqrt(18) - sqrt(2))) + -1.\nAnswer: -1 + sqrt(7)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*t**3 + 183424*t**2 + 2103322900*t + 12613335000.\nAnswer: 4*(t + 6)*(t + 22925)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2 + (sqrt(156)*-1*-4 - (sqrt(156) - (sqrt(156) - sqrt(156)*1))*-6)\/(-4*(sqrt(12) + sqrt(108))*2).\nAnswer: -5*sqrt(13)\/16 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1718469, -1718471, -1718483, -1718511, -1718561, -1718639?\nAnswer: -1718751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -6059*c**3 - 360*c**2 - 142920470*c + 1?\nAnswer: -36354*c - 720","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12*t + 12*t = 31*t - 41292. What is the remainder when t is divided by 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of (32\/24*104205\/10)\/2.\nAnswer: 6947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(g) = -g**2. Let s(q) = 72*q + 623. Calculate o(s(n)).\nAnswer: -5184*n**2 - 89712*n - 388129","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let v(p) be the first derivative of 17*p**4\/2 - 13*p**2 + 12. What is the second derivative of v(t) wrt t?\nAnswer: 204*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 0.21 - -15.79. Let o = r - 16.000059. What is o rounded to 5 dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 3, -1\/8, -0.08, -1\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Product of -48.726 and 808.\nAnswer: -39370.608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 27\/5 of a day in minutes?\nAnswer: 7776","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose h + 0 + 2 = 2*v, 0 = -2*v. Let u(c) = -9*c - 3. Calculate u(h).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 10048661?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1023019593.\nAnswer: 3, 61, 5590271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let c(o) = -12 - 2*o + 3*o**2 + 2*o. Suppose 0 = 6*x - 20*x - 70. What are the prime factors of c(x)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 1137c (base 15) to base 2.\nAnswer: 1101011000001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Add together 24926 and -3018492463.\nAnswer: -3018467537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*z + 6*z - z + 70371 - 70403.\nAnswer: 3*z - 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let q be -3*((-455)\/(-735) - 2\/7). Which is the third smallest value? (a) q (b) 17 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*n = 5*c - 28, n + n + 4*c = 22. Let u be -5 - (-1 + -1 + -3). Is u smaller than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(u) = 5*u**2 - 367*u - 481. What is the remainder when y(79) is divided by 47?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 221 - 220.826. What is v rounded to 1 decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 t and 2 v when three letters picked without replacement from {j: 6, i: 1, v: 2, t: 4, s: 1, e: 1}?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:56 AM and 12:26 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 1106 and 98.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -92 + 1114?\nAnswer: 1022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*p - 11 = -36. Suppose p*s - 2 = 13. Solve 0 = s*c - 3*w + 4 - 1, 4*w - 3 = 5*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 0 (b) 0.2 (c) -16.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is next in 231133, 231129, 231127, 231127, 231129?\nAnswer: 231133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 1979515 and 7775.\nAnswer: 1555","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 925 and 111?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-115768)\/11976 - (-1*11 + 1).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let h(i) = 4968*i + 2827. Is h(60) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify v*v**(2\/5)*v*v*(v*v\/(v\/(v*v*v**(-7)*v))*v)\/v*v**(-2\/15)*v*v**(-4\/7)*v*((v\/(v\/v**(-4)))\/v**(-6\/5))\/(v\/v**(3\/5)*(v\/v**(-1))\/v) assuming v is positive.\nAnswer: v**(-263\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 8374 a factor of 1654950874?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 g and 1 m when four letters picked without replacement from tkfmffktmgmm?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 372.625 grams in tonnes?\nAnswer: 0.000372625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 60594849*i**3 - 138067087?\nAnswer: 181784547*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 75 and 1863198075.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -57*g + 4 = -59*g - 66*l + 60*l, 2*l = -3*g + 8 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*y - 2*u - 0*u + 8, 0 = 2*y + u - 5. Let d(o) = 35*o**3 + 2*o**2 - 1. Let r be d(y). Suppose j = 5*p - p - r, -5*j + 50 = 3*p. Does 8 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -110*r - 5*p - 26 = -111*r, 5*r + 70 = -15*p for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 14902697?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*m - 21 = -9. Suppose 167 = -m*s + 4*s + 3*r, 0 = s + 3*r + 88. Let f = -40 - s. List the prime factors of f.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 3.5291? (a) 3 (b) -0.4 (c) -2 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let f = -1 + 2. Let v = -0.06 + 4.06. What is the second smallest value in v, f, 0?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-26)\/(-91) - (-4)\/(-14). Let q be 0 + c - (-3)\/15*-5. Suppose -5*o = -2*o. Which is smaller: q or o?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*q + 3 = 3*q, -5*z - 2*q = -642. Is 64 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify u*u**(-3\/25)*u*u**(-17)*u assuming u is positive.\nAnswer: u**(-353\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Convert 66.25665nm to millimeters.\nAnswer: 0.00006625665","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: (-2)\/3*((-22)\/(-55))\/(30\/25)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-w - 4*w + 4*w)*(-w + 2*w - 5*w) + (0*w - 3*w + w)*(-2*w - w + 2*w) to the form u*w + c*w**2 + d and give c.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4*(sqrt(11) - (sqrt(11) - 2*sqrt(11))) - (2 + -2*sqrt(11)) - (3 + sqrt(11)*-2 + 5 + sqrt(11)))**2.\nAnswer: -220*sqrt(11) + 1431","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let g = -65 - -90. What is the third derivative of -4*d + 2*d + 21*d**2 + g*d**3 + 2*d wrt d?\nAnswer: 150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 15*a**2 - 57*a**2 - a**3 + 7*a**2 - 23*a**2.\nAnswer: -a**3 - 58*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 40 = 5*o - 4*z, -3*z + 4*z - 7 = -3*o. Suppose 0 = p - o + 2. Solve -2*t + 3*i - 10 = 0, -2*i + 1 + p = -5*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3962963 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 395*j**2*o**3 - j**2*o**2*q - 2*j**2*o + 3*j*o**3 - 2*j*o - 2*j*q - 2*o**2 wrt j.\nAnswer: 790*o**3 - 2*o**2*q - 4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Multiply -1.284 and 1.38.\nAnswer: -1.77192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let j = -16240 + 16242. Suppose 5*b = b - l + 76, -3*b + 74 = 5*l. Solve b = -j*w - 2*h + 2, -w = -4*h - 7 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*y**3\/5 - 4*y**2 + 1518*y\/5.\nAnswer: -2*y*(y - 23)*(y + 33)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*y - 47 = -m, 0 = y - 2*y - 2*m - 11. Let d = 3 - y. Let i = d - 13. Calculate the greatest common factor of 10 and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s\/(s*s*s\/(s*s**(-18))))**(2\/7)*s*s*s**17*(s*s\/s**(2\/3)*s)\/s assuming s is positive.\nAnswer: s**(313\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 255671 and 2956421.\nAnswer: 3601","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 28032825?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence bq when two letters picked without replacement from qsqbwqqxqwqqwqqxqss.\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -1031478*r**6 + 855874*r**2?\nAnswer: -123777360*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*w**2 + 598*w - 1803*w + 598*w + 607*w - 5*w**2.\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-1359)\/3171*1\/3*4.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -12\/41369533 and -32\/1635?\nAnswer: 620542995","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let b be -4*(-3 + 0)\/(-12). Let x(w) = -w**2 + 4*w**3 - 6*w**3 - 1 + 3*w**3. Let t(n) = 2*n**3 - 3*n**2 - 3. Determine b*t(d) + 3*x(d).\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let k(s) = s**2 + 3*s. Suppose 22*i + 31 = 119. Let f(o) = -o**2 - 4*o. What is i*k(x) + 3*f(x)?\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -z + 332 = 3*z. Calculate the remainder when z is divided by (4\/18)\/(-2) - (-21505)\/765.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:53 PM and 3:54 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 2 (b) 32320 (c) -303 (d) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 13 times -42815?\nAnswer: -556595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 290502 to the power of 1\/2, to the nearest integer?\nAnswer: 539","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 168461.\nAnswer: 29, 37, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {b: 5, r: 4, e: 2}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: (-10)\/(-4)*(-32)\/(-8800)*-11\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor y**4 - 45*y**3 - 212*y**2 + 720*y + 3136.\nAnswer: (y - 49)*(y - 4)*(y + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 670 and 8?\nAnswer: 2680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let d(f) = 2156*f. Let b(j) = -3*j**2. What is d(b(o))?\nAnswer: -6468*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is -4 not equal to -27409\/5683?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let h(u) = -97*u - 768. Let y be h(-8). Solve c + y = -f + 9, 3*c = -9 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -1100101001110010 - 10101?\nAnswer: -1100101010000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: 71 * -0.4\nAnswer: -28.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -5\/16 (b) 77 (c) 2\/3 (d) -1 (e) 5\/2 (f) 27\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 s, 1 e, and 1 q when three letters picked without replacement from qvqveqsseqqvsvqse.\nAnswer: 9\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 6\/(-63) - 3\/(-7)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) -5\/11 (b) -2\/17 (c) -1031 (d) -5 (e) 4 (f) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -11\/2950 and 25\/36?\nAnswer: 53100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let t(x) = -x**2 - 12*x + 13. Suppose y + 4*o = -6, -5*y - 4*o - 23 = 23. Is t(y) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*j + 3 = 3*i, -4*j + 6 = -i + 7. Let c(f) = 19*f**3 + f**2 + 6*f - 6. Calculate the lowest common multiple of 84 and c(i).\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 2 - 8.5. Let n = b - -6. Let t = -1 + -2. Sort n, -1\/5, t in increasing order.\nAnswer: t, n, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(n) = -n**2 - 6*n - 3. Let z be l(-4). Let h be (-1 + 0)\/(z\/(-10)). What is the closest to h in -0.3, 1\/4, -4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -21 - -22. Let p = 80 - 51. Let z = p - 19. What is the closest to a in z, 1, -1\/8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*w**3\/2 - 4750*w**2 - 4502985*w\/2 + 4522005.\nAnswer: -5*(w - 2)*(w + 951)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let f(d) = -d**2 + 2*d - 11. Let r(m) = 6*m**2 - 2516*m - 1564924. Let y(o) = -35*f(o) - 5*r(o). Determine h, given that y(h) = 0.\nAnswer: -1251","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 83 a factor of 1328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in -0.3, 0.4, 0, 48\/91, 221, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 1243717 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let n(t) = 6*t + 5. Let i be n(2). What is the greatest common factor of 51 and i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 220010 and 2450?\nAnswer: 1100050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: (-92)\/(-2530)*-11*15\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i(f) = -72*f + 322. What is the tens digit of i(-34)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 2350529, 2350530, 2350531, 2350532?\nAnswer: 2350533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*n = -12 + 4. Let d be n\/5 + (-836)\/(-10). Calculate the greatest common factor of d and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*q = -q + 12. Let i = q - -8. Is 4 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -25*z**2 + 101*z - 49993 wrt z?\nAnswer: -50*z + 101","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((q*q\/q**(-3\/22)*q)\/(q**1*q)*q**(3\/5)\/(q**(1\/33)\/q))**(-21) assuming q is positive.\nAnswer: q**(-6251\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*m - 3*s + 43 + 19 = 0, -4*m + 66 = s. What is the lowest common multiple of 8 and m?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -2*f + 8*f - 4*f + 227*f**2 - f**4 - 40*f**2 as y + k*f**2 + s*f + x*f**4 + d*f**3 and give k.\nAnswer: 187","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 2386?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is -51.34 rounded to the nearest integer?\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 12*g - 4 = -2*m, 57581*g - 57588*g = 3*m - 7*m - 54 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let s(m) be the first derivative of 7*m**2\/2 + 176*m - 122. Let w be s(16). Calculate the greatest common divisor of 18 and w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: 256 * 3\nAnswer: 768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Sort -80, 0.8, 5, -1\/3 in decreasing order.\nAnswer: 5, 0.8, -1\/3, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let k = 157\/596 + -2\/149. Let z = 4 - 58\/15. Which is the biggest value? (a) k (b) z (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 639 * 12.2061.\nAnswer: 7799.6979","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2 + (sqrt(180)\/(sqrt(4)*2) - (1 + (sqrt(5) - (-1 + sqrt(5)))**2)*4).\nAnswer: -6 + 3*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 9591?\nAnswer: 3, 23, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 322 minutes after 3:49 PM?\nAnswer: 9:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 10633.\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let b = 103 + -87. Let a be 1168\/(-15) + b\/(-120). Let l = a + 86. Calculate the highest common factor of l and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1014036 is divided by 1453?\nAnswer: 1295","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 129029, 517348, 1164539, 2070596, 3235513, 4659284, 6341903, 8283364?\n\"Answer: -a**3 + 129442*a**2 - 412","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -54, -120, -186, -252?\n\"Answer: -66*i + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -901*q + 0*q**3 - 6*q**3 + 908*q + 2 + 6*q**4 to the form b + c*q**4 + l*q**2 + s*q + o*q**3 and give c.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) 5 (b) -0.3 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 34 a factor of 106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose u + p = -2*u + 6, -3 = 2*u + 3*p. Suppose 4*j - u*j = 0. Solve 4*g - 5*g = j for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 150508 and 338643.\nAnswer: 1354572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let y(h) = -h**2 + 10*h + 1. Let t = 25 - 15. Let f be y(t). Which is smaller: f or -1\/13?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(u) be the second derivative of 0*u**3 - 8\/3*u**4 + 0*u**2 - 30*u + 0. Let o(i) = -2*i**2. Calculate d(o(n)).\nAnswer: -128*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 5085 and 1048527?\nAnswer: 1017","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate -23*-3.52.\nAnswer: 80.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*m - 5*l - 202, 0*m + 2*l = 4*m - 196. Suppose -2*j + 20 = -g, 0 = 13*j - 9*j - 4*g - m. Solve -j = -c - 2*f - 2, 5*f = -c + 21 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 1\/5, 2, -4, 3\/17, -30?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 11503904 and 5032958.\nAnswer: 80527328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*h - 5*a - 265, 0*h + 3*h - 4*a - 155 = 0. Suppose 3*c - h = -0*c + 3*l, 0 = 4*c - 2*l - 68. Is c a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be (21\/(-140))\/(1\/8). Which is greater: 0 or s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be 2\/(6\/9) - 28. Let d = -21 - v. What is the third derivative of -m**d - m**2 + 359 - 359 wrt m?\nAnswer: -24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -8 + 16. Suppose 0 = 4*p - 0*p - 160. Calculate the greatest common factor of t and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:40 AM and 7:09 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1540 or -44623\/29?\nAnswer: -1540","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let i = 486 + -257. Let z(k) = 2*k**2 - 22*k - 417. Let m be z(-10). Which is the biggest value? (a) m (b) i (c) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -18 - -21. Let i be (-78)\/(-8) + 1\/4. Let x(h) = h - 7. Let u be x(i). Solve -3*q + q + 8 = u*p, -p + 12 = d*q for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (7*v + 7*v - 10*v + (-v - 4*v + 3*v)*(0 - 3 + 2))*(494*v - 172*v - 198*v) as u + a*v**2 + o*v and give a.\nAnswer: 744","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let u = 62 - 66. Let d be (-21)\/u + (-3)\/12. Solve 10 = -0*o + d*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 482 * 6.\nAnswer: 2892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-2)\/(-8) + (-22)\/(-8). Suppose f*q - 60 = 30. Suppose -2*u + q = 3*u. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be 85\/(-68) + 5\/4. Let w(i) = -3*i**2 - i**3 - 10*i - 4 - 6*i**2 + y*i**2 + i**2. Calculate the remainder when 65 is divided by w(-7).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -1959 + 1964. Solve z = 6*v - v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2? (a) -5.47 (b) 3 (c) -18 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:24 PM and 2:41 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*v - 1564002 = 2273598. Round v to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -b**2*w**2 + 88*b**2*w + 191*b*w**2 - 6*b*w - w**2 + 4*w wrt w?\nAnswer: -2*b**2 + 382*b - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) -4 (b) -1\/8 (c) 4 (d) -0.2 (e) -2\/5 (f) 10\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((i**(-1\/9)*i**(-1)*i)\/(i**(1\/5)\/i**(-8)))**(-20) assuming i is positive.\nAnswer: i**(1496\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let m(n) be the second derivative of -n**6\/10 - n**2\/2 + 5*n. Differentiate m(j) wrt j.\nAnswer: -12*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 2438 divide 6555782?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let t be 2\/(0 - (-1)\/1). Suppose -4 - 15 = -3*i - 5*k, 4*k = -2*i + 14. Sort 0, t, i in increasing order.\nAnswer: 0, t, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((w\/w**15*w*w**(1\/7))**(-3\/5))**(6\/17) assuming w is positive.\nAnswer: w**(324\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose y - 17 = -3*r, -2*y + 7 = -3. Suppose -6*w = -10*w + 52. Let m = 22 - w. Solve 3*x + r*v = -m, 5*x + 0*x - 2*v = -15 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -8.3 + 8. Suppose 7 = 5*m + 4*y - 12, -3*m - 5*y + 14 = 0. Which is the nearest to 0? (a) m (b) q (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 6045 is divided by 3019?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -6, -9, -10, -9, -6?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let n(v) = -5*v - 1. Let i(b) = -1. Let j = 300 - 302. Determine j*i(z) + n(z).\nAnswer: -5*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let a = -41.25 + 41. Let c = -0.35 - a. What is the nearest to c in -0.7, -1, 2?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-1)\/(5\/(-12)) + -2. Which is the nearest to x? (a) 1\/4 (b) -3 (c) -5 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 + 2 - 5)*(-1 - 2*t + 1)*(-t**3 + t**3 + 3*t**4)*(5 + 4 - 2 + 1 + 0 - 3 + (2 + 1 - 5)*(-4 + 2 + 1) - 1 + 0 - 1 - 4 + 3 - 1).\nAnswer: 18*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: 328356\/(-26060)*(-10)\/(-49)\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g = -28 + 93. Let a = g + 15. Calculate the remainder when a is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 47429 - 24816. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-50*(-26)\/64350)\/((-2)\/(-18)*1)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let i be 115368\/32 - (-230)\/(-184). Calculate the highest common factor of i and 848.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 4*z + 139*z - 3733 - 2416 for z.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 s when three letters picked without replacement from sssoos?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let t(u) = 3*u - u**2 + u + 2*u**3 - 5*u - 2. What is t(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1688*r**3 + r**2 - r**2 - 960*r**3.\nAnswer: 728*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 54 and 196218.\nAnswer: 588654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 5309720596?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let g = -102 + 76. What is g rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -89*k + 91*k - 54 - 67.\nAnswer: 2*k - 121","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let a = -9 + 9.2. Let x(r) = -r**2 + 2*r. Let u be x(3). What is the biggest value in u, 2\/7, a?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -1\/10 < -17\/28360?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} {"text":"Question: Let t be 4\/26 - 1605\/39. Let w = 52 + t. Is w\/(-66) - 1929\/(-18) a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from jmtmttftqqqqttqttqt. What is prob of picking 1 j and 1 t?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1*1.324.\nAnswer: 1.324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -21605751.8 rounded to the nearest one million?\nAnswer: -22000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 6*h*j*k*r**2 - 6*h*j*k*r - 29*h*k*r + h*k + h*r**2 + h + 948724*j*k*r**2 + 2*j*k*r + 5159*j*r wrt r.\nAnswer: 12*h*j*k + 2*h + 1897448*j*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let n(k) = -k**3 - 11*k**2 - 10*k - 11. Calculate n(-5).\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*m**5\/7 + 39956*m**4 - 4907232520*m**3\/7 + 629528323064*m**2\/7 - 19946394456820*m\/7 - 20580830292100\/7 = 0. What is m?\nAnswer: -1, 65, 34897","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify j**2\/((j\/(j**(-4)\/j*j))\/j*j)*j**(1\/7)\/((j*j**(-2))\/j*j) assuming j is positive.\nAnswer: j**(-13\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 1277237 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let s = -33 - -45. Let p be -46*(s\/18 - (-52)\/(-6)). Suppose i + 3*i = p. What are the prime factors of i?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -5, 5, 268.6, -0.3, 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 237310 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*w = 5*t - 18, 0 = 2*t - 5*t - 2*w + 10. Let h be ((-7)\/2)\/((-2)\/t). Suppose -231 = -309*s + 306*s. Calculate the highest common divisor of s and h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*a + a = -5*u + 13, a = -2*u + 4. Let d(v) = -v**2 - v + 6. Let r be d(-3). Solve 6 = a*f, r*k + 3*f = 2*k + 11 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*s - 306 + 1346. Let x = 513 - s. What are the prime factors of x?\nAnswer: 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1 divided by 63?\nAnswer: -1\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let x(c) = -c - 79 + 29 + 25 + 27*c**3 + 24 + c**2 + 0*c. Let q(o) be the second derivative of -o**3\/2 + 5*o**2\/2 - 7*o. Let d be q(2). What is x(d)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -72*g + 72*g + g**2.\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let a be 1*(-3 - (-2 + 3)). Let n = 8 + a. Solve -n*j + 15 = j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(j) be the third derivative of 2*j**5\/105 + 391*j**4\/84 - 14*j**3\/3 - 953*j**2. Solve z(r) = 0.\nAnswer: -98, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (187*o - 187*o + 37*o**4)*(2*o + 2*o - 2*o) + o**5 - 2*o**5 - o**5.\nAnswer: 72*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*d = 3*a - 6*a + 762, 4*d - 12 = 0. Suppose 3*f + a = 97. Let v = f + 138. What is the tens digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 11442.419319 rounded to the nearest 100?\nAnswer: 11400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 69767 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand v**3 - 10*v**4 + 10*v**4 - 4*v**5 + (-v**2 + v**2 - 6*v**5)*(2 - 1 + 0) + ((-1 + 2 + 0)*(-2 - 2 + 2) - 1 - 3 + 3)*(-60*v**2 + 60*v**2 - 11*v**5).\nAnswer: 23*v**5 + v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let x(w) = 141019*w. Let k(t) = t**2. Determine k(x(b)).\nAnswer: 19886358361*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence aij when three letters picked without replacement from {i: 2, z: 5, j: 3, y: 3, a: 1, o: 1}.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-12775)\/(-17885) + 499\/(-679)?\nAnswer: -2\/97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*x + 77 = -3*w, 69*x - 2*w = 27*x + 47*x + 44 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 5959 - 1780 + 1281 = 105*i for i.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 86583393?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let k = -356.8 - -406. Let d = k - 50. Let r = 0 - 0.2. What is the second biggest value in d, r, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 5\/112 and 53\/8.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2155519?\nAnswer: 2155519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let r be (28\/10)\/(8\/540). Suppose 245*a = 238*a + r. Solve a - 7 = -5*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*w**3\/7 + 668*w**2\/7 - 74272*w\/7.\nAnswer: 2*w*(w - 88)*(w + 422)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 264193 and -38?\nAnswer: -10039334","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is -1\/4 > -762154884?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 6820 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 17006 is divided by 4202?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let t = -18 - -31. What are the prime factors of t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is nine tenths of a meter in millimeters?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u be 8\/(-10) - (-2 - -1). Let q = -649.3 + 649. What is the biggest value in 3, u, 1, q?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.2? (a) 0.5 (b) -0.1 (c) -671 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify 6*((sqrt(700) + 0)**2 + 4)*-3.\nAnswer: -12672","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: -2385 divided by 9\nAnswer: -265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 34\/5 of a decade?\nAnswer: 816","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, -5, -162, -4 in ascending order.\nAnswer: -162, -5, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let i(o) = 5*o**2 + 40. Let d be i(-7). Calculate the greatest common divisor of d and 475.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(d) = -d**3 - 3*d**2 - 5. Let v(j) = -j**3 + j**2 - j - 1. Let o = 8 - 6. Suppose 6 - 2 = -o*t. Let f(z) = t*v(z) + r(z). Give f(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -10795 + 18827. Is a a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 4, 2, 2\/21?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -3 + 65a995?\nAnswer: 65a992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1125272 or -1125275?\nAnswer: -1125275","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 31287, 62603, 93935, 125283, 156647, 188027?\n\"Answer: 8*h**2 + 31292*h - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((o**(-2)\/(o*o\/(o*o\/o**(-5)*o)*o))\/((o**(-2\/11)\/o)\/((o*o**(2\/15)*o)\/o)))\/(o*(o*o**(1\/5)*o*o)\/o*o\/(o*o\/o**(-6)))**(-1\/30) assuming o is positive.\nAnswer: o**(8561\/1650)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let o(t) = -12*t + 195. Let b be o(16). Sort 4, b, -9 in decreasing order.\nAnswer: 4, b, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -9 - 1767*l**2 + l**4 + 1767*l**2 + l**3 + (-17*l + 17*l - 3*l**2)*(-2*l**2 + 4*l**2 - 4*l**2).\nAnswer: 7*l**4 + l**3 - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -5797*b - 15461*b - 1600499 + 1600499 to the form i*b + f and give i.\nAnswer: -21258","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2 + 2 - 3*l**3 + 15*l**3.\nAnswer: 12*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let u be (2\/12)\/(2 + -1). What is the nearest to -0.1 in -3, 0.03, u?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -6*(4 + sqrt(17))*1.\nAnswer: -6*sqrt(17) - 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let t = 23 - -4. Let b = -6 - -9. Suppose -6*s + 13 = -a - s, a = -b*s + t. Calculate the common denominator of 11\/10 and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 90688057 a multiple of 191?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Sum 48.93 and 7052.\nAnswer: 7100.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {r: 2, c: 2, f: 8, j: 4}. What is prob of picking 1 r, 1 f, and 1 c?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 1098868103 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 23\/10 and -43\/38.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 38*t = 52*t - 74634. Let j = 7492 - t. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -30 + 65. Suppose -17 = -4*o + h. Does 17 divide 72*(o\/(-4) + 4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4*(sqrt(11) - (sqrt(77)\/(sqrt(7)*3))**2 - (4 + sqrt(176))) + -3.\nAnswer: -12*sqrt(11) - 215\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:30 AM and 2:36 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Are -2 and 22 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let g be (1 - 2)\/((-2)\/4). Suppose 0 = -g*y - 2 + 10. Let r(p) = 4*p**3 - 5*p**2 + 2*p - 3. Is r(y) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(y) = -4*y**3 + 65*y**2 + 3*y - 7. Let w(m) = -2*m**3 + 32*m**2 + m - 3. Suppose -54*c = -59*c - 5*g - 40, -c - 9 = 2*g. Give c*w(v) + 3*h(v).\nAnswer: 2*v**3 - 29*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let s(q) = -q**3 + 7*q**2 - q + 12. What is the tens digit of s(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*y - 2*y - 32. Is 8 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -31331303 - 13000?\nAnswer: -32010303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 h and 2 z when three letters picked without replacement from {h: 10, r: 1, b: 3, z: 2, c: 1}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.1 in 4\/201, -0.2, 164, -3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate -35 - -16 - (418\/(-32) - 6).\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let b(x) be the first derivative of -x**2 + 5*x + 4. Suppose v - 4*v - 4*u = 20, -3*v + 4*u = 4. What is the units digit of b(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 32, 86, 164, 260, 368, 482, 596?\n\"Answer: -d**3 + 18*d**2 + 7*d + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let v = 57.99 - 58.39. What is the closest to 2 in v, -4\/5, 0.1, -0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5 + 5*(-2 + -1 + sqrt(162) + sqrt(162) - ((sqrt(162) - (sqrt(162)*-2 - sqrt(162))) + sqrt(162))*6 - (sqrt(162)*1 + -5 - (sqrt(162) + 0 + 3)))**2.\nAnswer: -12600*sqrt(2) + 635170","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 7202, 4188, -826, -7840?\n\"Answer: -1000*l**2 - 14*l + 8216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3*((sqrt(76) + sqrt(76)*-1*1)\/(sqrt(72)\/sqrt(2) + sqrt(36)) + sqrt(19) + -1*sqrt(19)*2 + sqrt(19)*2*1).\nAnswer: -3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: -50338*12\nAnswer: -604056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {n: 3, s: 2}. Give prob of picking 2 n and 2 s.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 2898, 2557, 2216?\nAnswer: 1875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 5019 is divided by 1669.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let f(j) = -7*j**2 - 2*j - 4. Let i(c) = c + 3*c + 6 - 2*c + 3 - 6 + 6*c**2. Calculate -3*f(u) - 4*i(u).\nAnswer: -3*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*z + 4*b - 59, -66 = 2*z - 4*z + 4*b. What is the highest common divisor of z and 1475?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 923599797 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 7179521 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let x(m) = m**3 - 4*m**2 - 5. Let h(r) = -4*r**3 - 2*r**2 - 3*r - 2. Let a be h(-2). Suppose -5*f - 2*k + 2 + a = 0, k + 11 = 4*f. Calculate x(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -7353, -2672, 2011, 6696, 11383, 16072, 20763?\nAnswer: 25456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 2\/11 (b) -147\/8 (c) 303 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -2379412, -2379418, -2379436, -2379472, -2379532, -2379622, -2379748, -2379916?\n\"Answer: -c**3 + c - 2379412","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) = -2*y + 50. Calculate the least common multiple of q(13) and (-1 - -11*1)\/1.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 80080 a multiple of 140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let n(o) = -5*o - 23. Determine n(-8).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let y = 692297 - 692171.0543. Let c = -126 + y. What is c rounded to two dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 1879232563 to the nearest integer?\nAnswer: 1234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let b(t) = 38750*t**2 - 2*t - 8. Let v be b(-4). What is v rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from fkff. Give prob of picking 2 f.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 r and 1 k when two letters picked without replacement from kkkkkkkkkkkrkkkkkkrk?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 190 and 311942.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 42 minutes before 6:42 AM?\nAnswer: 6:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -8 + 52*r - 20*r - 9*r**2 - 29*r + 17 to y*r + d*r**2 + x and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 20, -20, -60, -100, -140, -180?\n\"Answer: -40*d + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -45153.5 rounded to the nearest one hundred?\nAnswer: -45200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -22*p - 3*n = -18*p - 236, -p + 58 = n. Suppose 5*t + 2*w = 4*w + 73, -2*w + p = 4*t. Solve 0 = 10*c - 13*c - t for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 19230577 to the power of 1\/2, to the nearest integer?\nAnswer: 4385","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 1591*r - 1588*r = -3*s - 207, -4*r = -5*s - 354 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let s(w) = -23*w**2. Let q(c) = 2*c**2 - 120*c. What is q(s(y))?\nAnswer: 1058*y**4 + 2760*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let n(b) = b + 1. Let f(p) = p**2 + 9*p - 4. Let o(k) = -3*k - 9. Let r be o(9). Let l be (3 - 0) + r\/3. Let x be f(l). What is n(x)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(68)*1 + 3)*5)**2 + 3*((sqrt(153) - (sqrt(153) + sqrt(153) + sqrt(153)*-2))*1)\/sqrt(9).\nAnswer: 303*sqrt(17) + 1925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 25523 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: 252 (base 7) to base 4\nAnswer: 2013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*a = a - 5*m + 40, -3*a = -2*m - 30. Suppose -a = j - 6*j. Suppose u + j*o = 215, 4*o - 212 = -u + 5*o. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(n) = -n**3 + 6*n**2 - 5*n - 12. Let p be u(5). Let x be (-4)\/(-30) + 1\/((-135)\/p). Factor -2\/9*o - x*o**2 + 4\/9.\nAnswer: -2*(o - 1)*(o + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(v) = -v**3 - 10*v**2 - 18*v - 14. Let m be q(-8). Suppose -r - m*y + y = 0, y + 8 = r. Solve 2*s + r*n = -6 + 16, s = 2*n + 5 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {g: 7, k: 3}. What is prob of sequence gk?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-3)\/(-2)*(-128)\/(-24). Let w = -7 + b. Let d(q) = -q**2 + 6*q + 8. What is the remainder when w is divided by d(7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*a + 1435 + 941 = 0. Calculate the remainder when a is divided by 40.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: (-14)\/6*(-11)\/(77\/(-21))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y(d) = d**3 + 9*d**2 + 3*d - 7. Let x be y(6). Calculate the highest common divisor of 133 and x.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many meters are there in six fifths of a kilometer?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from mccccccncmcmcnc. Give prob of picking 2 m.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let t be (181570\/12)\/5 + -3. Let r = 3073 - t. Let q = -1165\/21 + r. Calculate the common denominator of q and 91\/24.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 17937\/2*(-650)\/(-325)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -61\/10 and 95\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15*g = -19*g + 8. What is the closest to -0.2 in -0.1, -3, g?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -2\/1727 - -1743\/13816. Which is the closest to 0.03? (a) -2\/15 (b) s (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -2552 + 3?\nAnswer: -2547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 1282, 1305, 1342, 1399, 1482, 1597, 1750?\n\"Answer: u**3 + u**2 + 13*u + 1267","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-2 - (-420)\/(-8))\/(5\/10). Let g = 109 + i. Factor 0*s**3 + 0*s + 0*s**2 - 2\/15*s**4 + 2\/15*s**5 + g.\nAnswer: 2*s**4*(s - 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -11 greater than 145180?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 126 and 120050.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let m = -0.71 + -0.29. Let b = 11 - 15. Let l = b + 7. Put l, m, 1\/4 in ascending order.\nAnswer: m, 1\/4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is (-9)\/(-243)*6 - (45138\/(-27) + 4) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:03 PM and 4:59 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let y = -5.8199868 + 5.82. What is y rounded to five decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -760 - -928. Solve 6 = 27*p + m for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: (-10)\/(-7*110\/231)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -12a6903 (base 11) in base 2?\nAnswer: -1000100101000110111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k(d) = -2*d**2 + 18*d + 43. Let v(w) = 5*w**2 - 53*w - 130. Let y(s) = 8*k(s) + 3*v(s). Let h be y(-10). Solve -3*p + 10 = -2*c, h*c + p = -0*p - 20 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 78*l**2 - 41*l**2 - 34*l**2.\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let k = -269 + 268.8. Let r = -0.1 - -0.1. Let a = r + 1. What is the second smallest value in 0.4, a, k?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*x**2 + 0*x**2 + 2*x**3)*(x**2 - 4*x**2 + 2*x**2) + (0*x**2 + 5*x**2 - 3*x**2)*(0*x**3 + 3*x**3 - x**3).\nAnswer: 2*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -30*u + 186 = -124*u - 190 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1285215 is divided by 428235?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2557 - 11060 - 5815 = -7*s. Is s a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 96428537?\nAnswer: 47, 2051671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate 11 + (4 + -7 - 2).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {r: 1, i: 2, o: 1, w: 1, u: 1, q: 2}. What is prob of sequence oiiq?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*b - 28*b - 14*b + 6*b.\nAnswer: -38*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let q(t) = -69*t + 3177. What is the units digit of q(-10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-2882)\/(-393)*6\/(-64)*-4?\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*i + 89 = -x, 4*i - 2*x + 3*x = 73. Sort -4, 3, -6, i in decreasing order.\nAnswer: i, 3, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 1674125 and 45725.\nAnswer: 51897875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let w(q) be the first derivative of -5*q**2 - q - 3. Suppose 2*u = -6 + 4. What is w(u)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -8702000 rounded to the nearest one million?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -19\/556304 and -5\/554.\nAnswer: 154096208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -5417*d**2 - 5428*d**2 + 10853*d**2.\nAnswer: 8*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 683 = s + q, -4*s - 5*q + 663 = -3*s. Suppose -4*p + 5*g = 720, -2*p - 3*g - s = 2*p. Let d = -247 - p. Round d to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(w) = 9*w**2. Let i(k) be the third derivative of k**5\/20 - 30*k**2. Give i(z(x)).\nAnswer: 243*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let v(i) = 6*i - 2*i**2 + 22 + 14*i - 3*i + 2*i. Let s be v(10). Let y(o) = s*o + 17 + 16 - 33. Let m(u) = -2*u. Give y(m(n)).\nAnswer: -24*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 700 is divided by 47?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -8*i + 144 - 384. What is the remainder when 139 is divided by 15\/i + 95\/2?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.000032590221 to seven dps.\nAnswer: -0.0000326","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let o be 1 - 15\/(-10)*2. Let p(t) = -t - 5. Let f be p(-13). Suppose -o*c = -f*c + 16. Solve 0 = -u - c*u + 20 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -h = -2*h - 1. Let n be h*(0 + (-1)\/7). What is the second smallest value in 2, n, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -69*i + 19 - 138*i + 6*i - 266*i to x*i + k and give k.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 35059 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:23 AM and 9:18 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 13*q = 8*q + 340. Suppose 38 + q = 2*n. What are the prime factors of n?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 315798*u**2 + 9*u + 7616613 wrt u?\nAnswer: 631596*u + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let g = -0.0201 - -26.0201. Sort -0.1, -2\/3, g in ascending order.\nAnswer: -2\/3, -0.1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 546 minutes after 11:28 PM?\nAnswer: 8:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 78917?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 4 and 142.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 2582313?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let i(z) be the second derivative of -z**3\/2 + z. Let v(w) = -4*w + 3. Let c(h) = 9*h - 7. Let s(r) = 3*c(r) + 7*v(r). Calculate i(s(d)).\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let k be ((-2)\/5)\/((-3)\/15). Let u(t) = -t + 2. Let z be u(k). Solve z*d + 9 = l + d, -l - 6 = -2*d for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -6846 - -6849. Let x(c) be the second derivative of -7\/12*c**4 + 3\/2*c**2 + 1\/20*c**5 + 0 - 19*c + 5\/6*c**o. Give x(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(v) be the third derivative of v**6\/120 + v**5\/15 + v**4\/8 + v**3\/2 + v**2. What is l(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*t + 4 = 5*l + 4*t, 0 = 4*l - 2*t. Solve 7 = -3*d + 3*b + l, 0 = -d + 5*b + 7 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(o) = -6*o - 5. Is 7 a factor of t(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -12 + (3 - 2) + (17 - (35 - 6)) + -4?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from pkppsppsvhpppppphp. Give prob of picking 1 p, 1 s, and 1 v.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let w(x) = -x**2 - 10*x - 17. What is w(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Add 91848558.4 and -0.235.\nAnswer: 91848558.165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, 4, -3, 0, -1.1333, 3 in descending order.\nAnswer: 4, 3, 0, -1, -1.1333, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Sort 4442, 5, 1, -3 in descending order.\nAnswer: 4442, 5, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 674551 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -2\/33 (b) 1 (c) 0.1 (d) 28557\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 33388243783 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((w*(w\/w**(1\/2)*w)\/w*w)\/w)**(-9\/7)*w*w**5*w*w*w**(3\/7))**(-4\/15))**32 assuming w is positive.\nAnswer: w**(-832\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let u(d) = 12*d**2 - 8*d + 39. Let i(g) = 12*g**2 - 6*g + 41. Let b(z) = 4*i(z) - 3*u(z). What are the prime factors of b(-7)?\nAnswer: 5, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-3)\/((1710\/(-1368))\/(3\/1*-5)).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 9762192 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*r + 14 = c - 0*c, 2*c = -3*r + 23. Suppose 0 = -3*u + 6, -2*u - 2*u + 28 = r*t. Sort t, -3, 5 in increasing order.\nAnswer: -3, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 21 - 20. Let p = -0.06 - -0.03. Which is the closest to 1? (a) p (b) x (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 36713 is divided by 58.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let z(t) = -2*t. Let p(s) = -56*s**2 - 2*s. Let b = 250 - 248. Let d(r) = 280*r**2 + 11*r. Let m(k) = b*d(k) + 11*p(k). What is z(m(v))?\nAnswer: 112*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -3*b**5 + 2*b**4*l**2 - b**4*l - b**2*l**2 + 36*b**2*l wrt b.\nAnswer: -180*b**2 + 48*b*l**2 - 24*b*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate (54 - 48 - (-1 - (-11 - -3))) + -8.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*v - 31 = -5*g + 2*g, -2*v - 19 = g. Let k be ((-58)\/v - 1)*6\/30. Which is the nearest to -0.2? (a) -19 (b) 2\/5 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8 = -l + 5*l, -2*l + 4 = 2*r. Let v = -16 + 35. What is the first derivative of 1083*a - r*a**4 - v - 1083*a wrt a?\nAnswer: -16*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence kyus when four letters picked without replacement from suysuuunkuunsu.\nAnswer: 1\/1144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let q(s) be the first derivative of -s**7\/504 + s**6\/180 - 35*s - 32. Let g(o) be the first derivative of q(o). Let g(n) = 0. What is n?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -523 - -192d?\nAnswer: 140a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 1006*i - 500*i - 507*i = 4*q + 1, -5*q = 3*i - 4 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -72, -86, -100, -114?\nAnswer: -128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 3\/7, -0.2, 5, -2?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1\/4? (a) -2 (b) 1\/3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let i = 1383.604649 - 1377.1848. Let m = 6.42 - i. Round m to 4 dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -86*j**3 - 595*j**2 - 13*j - 13809?\nAnswer: -516*j - 1190","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*n + 6 = 2*p, 9 = -6*n + 2*n + 5*p. Let w be -4*((-170)\/(-68))\/(n + 6). Put 1, 11, -4, w in increasing order.\nAnswer: -4, w, 1, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 67\/4 of a century?\nAnswer: 20100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v(m) = -50*m**3 - 12*m**2 + 19*m + 392. Is v(-11) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -53, -5, 9, 2 in increasing order.\nAnswer: -53, -5, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -1 - -156?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 65415 and 61143?\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: 9 + (160 + (-19 - 31) - 47)\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -26*t - 9 + 13*t - 18*t.\nAnswer: -31*t - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 5\/4 in -4, 5, -9, -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 25*v**3 + 90*v**3 - 204*v**3 + 87*v**3.\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 0.19 less than 0.10359112?\nAnswer: -0.08640888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Product of 3106 and -3.\nAnswer: -9318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -11 in -13, -2, 0.5?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Put together -1145093 and -33620.\nAnswer: -1178713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let z(m) = 11*m**2 + 17*m - 17. Let u(l) = 2*l**2 + 3*l - 3. Let r(f) = 34*u(f) - 6*z(f). Let s = 2 + -2. Let c(i) = 0*i + i**2 + s*i. Calculate r(c(w)).\nAnswer: 2*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is (-297)\/(-22)*(13 - (-296)\/(-24))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 1417\/7 - 7092\/35. Which is the third smallest value? (a) t (b) 1\/12 (c) 3\/16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*w**3\/5 - 726*w**2\/5 - 13392*w - 38880.\nAnswer: -2*(w + 3)*(w + 180)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Determine t so that 2*t**5\/7 - 74*t**4\/7 - 402*t**3\/7 - 106*t**2 - 584*t\/7 - 24 = 0.\nAnswer: -2, -1, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let f = -1733767 + 303410073\/175. Let c = f - 214\/25. Which is smaller: -5 or c?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -30b (base 14) in base 16?\nAnswer: -257","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 33728 = 533*x - 565*x. Is x equal to -0.01?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -27\/40 and 49\/1304?\nAnswer: 6520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate (4\/4)\/(((-6)\/(-22))\/(-3)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 26629260 and 35511.\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*h + 11*h - 15190. What is the greatest common factor of h and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*j**3 - 4*j**3 - j**3 - 2*j**3.\nAnswer: -5*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 330*g = 329*g + 10, 5*g - 30 = 10*c - 6*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 17572739234 rounded to the nearest 1000000?\nAnswer: 17573000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Express (-3*z**2 + z**2 + 7*z**2)*(-893 - 901 + 1820 - 48*z) as s*z**2 + b*z + g + p*z**3 and give p.\nAnswer: -240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let f = -5 - 0. Let k = -3 + 3.5. Let w = 0.012 + -0.112. Which is the nearest to w? (a) k (b) f (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 7076?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence vuvu when four letters picked without replacement from uvuvuvvuuuuvu?\nAnswer: 28\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 16, 36, 68, 124, 216, 356, 556, 828?\n\"Answer: 2*u**3 - 6*u**2 + 24*u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = o + o + 8, -b - 4*o = 11. Let j be (-12)\/9*(-4)\/((-12)\/(-9)). Let d = 32 - 22. Solve 0 = 5*f - b*c - d, -2*f + 3*c = -j + 1 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify i**(-5)\/(i*i\/(i**(-8)*i)*i) assuming i is positive.\nAnswer: i**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 169499 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let n be (20 - 161\/7)\/(3\/(-15) - 0). Let m = 108 - 3. Calculate the greatest common divisor of n and m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -6 - -3. Let r = v - -4. What is the closest to r in 0.1, -1\/6, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 0.4 (b) -11 (c) -5 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 835083143 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((i*i*i*i**(-30\/13))\/(i*i*i**(-19)*i*i))\/(i**(-11))**(-22) assuming i is positive.\nAnswer: i**(-2942\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 5\/4 of a millennium in decades?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -2*w**3 + w**2 - 2 + 0*w + 0*w + 115*w**4 - 113*w**4 wrt w.\nAnswer: 48*w - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 3 - 1. What is the closest to -3\/2 in 0.4, j, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(n) be the third derivative of 43*n**5\/120 - 29*n**4\/24 + n**3 - 13*n**2. Let p(x) be the first derivative of b(x). Does 26 divide p(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 14401 - ((-4 - 18) + 9)?\nAnswer: 2, 7207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*t - 15*w = -12*w - 321, 2*w = -4*t + 438. Let m(p) = -48 - 52 + p**2 + 4*p**2 + t. Let r(f) = 14*f**2 + 35. What is 11*m(n) - 4*r(n)?\nAnswer: -n**2 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: 0.06608*15327\nAnswer: 1012.80816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*u**2\/3 - 2049758810*u\/3 + 210075558958630805\/3.\nAnswer: 5*(u - 204975881)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in 33\/5 of a meter?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(52) - (sqrt(52) + sqrt(52)*1 + sqrt(52) + sqrt(52))) + sqrt(52))\/sqrt(4)*2.\nAnswer: -4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*n**3 + 5*n**2 - 5*n**2)*(-11*n + 107*n + 33*n)*(-2 + 0 + 3).\nAnswer: -387*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify f*f*f*f*f**17*f**(-7) assuming f is positive.\nAnswer: f**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 467 minutes after 7:09 AM?\nAnswer: 2:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let d(x) = 3*x**2. Let j(f) be the first derivative of 59*f**2\/2 - 645. Determine j(d(h)).\nAnswer: 177*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 15.9? (a) 0.5 (b) 0.3 (c) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*g + 2*g - g)*(-79717*g + 17 + 61 + 79621*g).\nAnswer: -96*g**2 + 78*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-102)\/(-14) + 10\/175*-5. Solve -22 = 5*i - m for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 1a30981 (base 11) to base 4.\nAnswer: 31010231210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k(f) = f**3 - 5*f**2 - 2 - 2*f**3 + 4 + 136*f - 140*f. Let g be k(-4). Suppose -3*q + 19 = -i, g*q = -5*i - 3 - 7. Solve -q*c - 1 = -16 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 320261083?\nAnswer: 6353, 50411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many kilograms are there in thirty-seven halves of a tonne?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort 39\/5, 0, 0.004, -4\/5, -1\/3.\nAnswer: -4\/5, -1\/3, 0, 0.004, 39\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Total of 0.2 and -0.0276.\nAnswer: 0.1724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 23 a factor of 306444985?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*(2*sqrt(19))**2 + ((sqrt(304) + sqrt(19))*-1 - sqrt(19)) + 0.\nAnswer: -76 - 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let m = -4 + 4.3. Let x = m - 0.2. Let t = -0.37 + 0.07. Which is the third biggest value? (a) t (b) x (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 49792 times -39?\nAnswer: -1941888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let u = -1.9 - -2. Let r = 0.224 - 0.724. Which is the third biggest value? (a) u (b) -2 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 276485 is divided by 10239?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let w be 4\/(6\/(-105)*(-77)\/(-33)). Suppose 3*f - 1 = -i - 25, 5*i + 5*f = -80. Is (-374)\/(-10) - i\/w a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 55\/2 and (15 + 735\/(-60))*(-3)\/(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 6859?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 685 minutes before 8:54 AM?\nAnswer: 9:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -9712*v**4 - 814*v**2 + 5*v**3 - 306*v**2 + 9629*v**4 wrt v?\nAnswer: -1992*v + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-4 + 4 - 4)*(0*c**2 + 0*c**2 + 2*c**2) - 3*c**2 - c**2 + 3*c**2 + 227*c**2 - 981*c**2 + 264*c**2 + 245*c**2 - 3*c to k + z*c + b*c**2 and give b.\nAnswer: -254","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 577?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 337, 336, 333, 328, 321, 312, 301?\nAnswer: 288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 476801.\nAnswer: 13, 36677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let l(m) = -2*m + 4. Let g be l(5). Let a be 2*1*(-69)\/g. Let j = 11 + a. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -10*m**3 + 26545*m**2 + 2563325*m + 16639140 = 0.\nAnswer: -173\/2, -7, 2748","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 146820 = 10*k + 50*k. What are the prime factors of k?\nAnswer: 2447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -29878942*s + 47370989.\nAnswer: -29878942","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify p\/p**(-7)*p*p*p*p**(-12) assuming p is positive.\nAnswer: 1\/p","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -204052.84 rounded to the nearest one thousand?\nAnswer: -204000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let a = 792 - -2380. Is a a multiple of 122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -4267 + 4263. What is the second biggest value in 1\/3, y, 60\/17?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (1 - 2*f**2 - 1)*(-44 - 10*f + 44 + (-1 + 4 - 4)*(-3 + 3 - f) - f - f + 0*f - 2*f + 8*f - 2*f) in the form a*f + p*f**2 + m*f**3 + s and give m.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 39\/10814 and -16\/48663.\nAnswer: 97326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -4226 - -272?\nAnswer: -3844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -135, -260, -375, -474, -551, -600?\nAnswer: -615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 16 a factor of 838?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 27311526 to the nearest integer?\nAnswer: 5226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 0 + -1549?\nAnswer: -1549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 2478 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let a = -13 + 18. Let w(n) = -7*n + 1. Let b(u) = u. Let d(v) = 5*b(v) + w(v). Determine d(a).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: 120\/3*(-140)\/(-120)*30\/(-20)\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round 4100060 to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let j(r) = 2*r + 32. Let z be j(-14). Suppose 2*q = 4*a + 46, -z*q + 3*a + 94 = q. What are the prime factors of q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 112 and 5852?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let z(u) = -35*u**3 + 26*u**2 + 46*u - 2. Give z(-3).\nAnswer: 1039","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let q(w) = 5*w - 15. Let j be q(4). Let r = -36 - -35.8. What is the closest to -6 in -1\/3, j, r?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(k) = -11*k + 11*k + 980*k**2 - 989*k**2 + 9 + k**3. Calculate p(9).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -0.4, 1\/134, -1, -34\/3 in descending order.\nAnswer: 1\/134, -0.4, -1, -34\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 929*a = 904*a + 54500. What is the tens digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 = -2*r + y + 1, 2*r = 3*y - 13. Let m(d) = d**2 - d - 1. Let o(q) = 5*q**2 - 10*q - 12. Let g(t) = r*o(t) - 4*m(t). Is 10 a factor of g(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 45775.5 - 45775. Let s = 3.1 + -7.8. Let h = 5 + s. Sort 2\/13, z, h.\nAnswer: 2\/13, h, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 3 + 1)*(33 - 33 - 23*d**2).\nAnswer: -69*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (32\/(-36))\/((-28)\/(-252))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, -8081, 4, 3, -4, 1.\nAnswer: -8081, -5, -4, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0 or -1898\/188607?\nAnswer: -1898\/188607","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 324220379 to the nearest integer?\nAnswer: 687","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -4\/27? (a) -1\/4 (b) 5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Factor b**3\/3 + 22209*b**2 + 133245*b + 199863.\nAnswer: (b + 3)**2*(b + 66621)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let u be ((-282)\/4)\/(2\/356). Let w = u - 30451. Round w to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((k*k**3\/k)**(-7))**(2\/53)\/(k**(-3\/5)\/k**(-7)*(k**(-2\/5))**(-2\/17)) assuming k is positive.\nAnswer: k**(-32614\/4505)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let w = -122.0016 + 122. Let d = 0.0249 + w. What is d rounded to three decimal places?\nAnswer: 0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 14 in -2, 0.3, 1\/2, -2\/51?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Does 15 divide 4125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let w(y) = 331*y**3 + 2*y**2. Let h be w(1). Let n = h + -86. Calculate the highest common divisor of 13 and n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*b = 7*b - 2*b + 20 for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -157 or -158?\nAnswer: -157","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many days are there in sixty-four sevenths of a week?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let 3*i**4 + 768996*i**3 - 3076080*i**2 - 12303936*i + 49216512 = 0. Calculate i.\nAnswer: -256336, -4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-15*6\/(-36))\/((-3)\/(-6)). Suppose 0 = -4*j - d*z - 17, 8*j - 5*j + 14 = -5*z. Let s(b) = 7*b. Let x be s(1). Put -1, j, x, -4 in increasing order.\nAnswer: -4, j, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -15, -25, -47, -93, -175, -305?\n\"Answer: -2*p**3 + 6*p**2 - 14*p - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 2*j**3*m - 853693*j**2*m - 4519899*j + 3*m wrt j?\nAnswer: 12*j*m - 1707386*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-3 - (-3 + -1)) + 3. Suppose -4*h = 2*r - d, 4*r + r - 38 = 4*h. What is the remainder when 5 is divided by (r\/3)\/(0 - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 88 minutes before 3:24 AM?\nAnswer: 1:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let o be 21\/6 + (-1)\/2. Solve -d - o - 1 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 144816 and 84?\nAnswer: 144816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let i(f) = -4*f**3 - 382*f**2 + 339*f + 50245. Calculate i(-95).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is -21 + 24 - (1 + (-3 - -7))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express -2836*f - 3034*f + 140 - 140 in the form d*f + p and give d.\nAnswer: -5870","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence qwk when three letters picked without replacement from {w: 4, k: 4, q: 2}?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-1 - (-1 + -1)) + 29. Suppose -13 = -j + 2*z, -2*j = 4*z - 12 - h. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(p) = -p**3 + 5*p**2 + 5*p + 11. Let c be q(6). Solve -3*o + o = -c*i - 35, -o + 4*i = -25 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 22249?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1\/4? (a) -1 (b) 4\/325 (c) -8.5 (d) -4 (e) -10\/7 (f) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence blr when three letters picked without replacement from ttrbl.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -2860 = -f - 2852, i - 3*f - 4*f + 7 = -6*f for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let w = 41070.751802 - 41071. Let t = -3.348388 - w. Let b = t + 3.1. What is b rounded to five dps?\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 3221974973?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -5973315*l**2 + 11946592*l**2 - 4*l**3 - 5973277*l**2 + 13.\nAnswer: -4*l**3 + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Find h such that -12*h**4 + 52*h**3 - 16*h**2 = 0.\nAnswer: 0, 1\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 679 a factor of 434950?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 1986013*l**4 - 5*l**3 - 33172587.\nAnswer: 7944052*l**3 - 15*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 14 minutes before 6:31 PM?\nAnswer: 6:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 2689187026?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 58655 to the nearest integer?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let b(d) = -1 - 3 + d + 8 + 2. Determine b(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 119 and 136.\nAnswer: 952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let o = -2 - 17. Suppose 70*w = 62*w - 160. Let d = o - w. Solve -3*k - d = 2 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-24*r - 20*r - 21*r)*(-5*r + 2*r + 2*r) to the form k + i*r**2 + v*r and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let k(w) = -3*w**2 + 18*w - 21. Let p be k(4). Solve 0 = -4*b + 2*s - 2, 2*b + p*s + 5 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ikpd when four letters picked without replacement from dikkknpkpnnppil.\nAnswer: 4\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*x + 7*x - 23 = -b, 5*x - 15 = -5*b. Let u = 31 - 31. Suppose 0 = 2*a - u*a - 6. Solve 0 = x*c + v + a + 20, -9 = 3*v for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -14*f**2 - 799*f**3 - 7*f**2 + 21*f**2.\nAnswer: -799*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 85923261?\nAnswer: 3, 1060781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} {"text":"Question: Let z(q) = q**2 + 38*q - 34. Let x be z(-39). Let j(p) = -p**3 + 6*p**2 - 6*p - 2. Give j(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3301?\nAnswer: 3301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-1)\/((-7)\/(-5)))\/((-11256)\/(-6566))?\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*a - 3*g = -0*a, -g = 4*a - 10. Suppose v = 0, -3*t + a*v - 21 = 5*v. Let p = t + 6. Sort -5, 0, p in decreasing order.\nAnswer: 0, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 19*v*x*z**2 + 2*v*x + 946425*v*z**2 + 348*v - 2*x*z - x + 13330*z wrt z?\nAnswer: 38*v*x + 1892850*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(896)*2 + sqrt(896) + sqrt(56) - (sqrt(168)\/sqrt(3)*1 - sqrt(56)))\/(-6*sqrt(968)*1).\nAnswer: -13*sqrt(7)\/66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from sqgsgsqqsqqq. What is prob of sequence sqgs?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Does 11 divide 75\/7 - 8\/(-28)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -319663 less than -19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: -12002201021 (base 3) to base 16\nAnswer: -18829","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: -0.08*1123001\nAnswer: -89840.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let c = -786104\/19 - -188539313\/4560. Let w = 373\/15 + c. Calculate the common denominator of -49\/18 and w.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -3 (b) 34540 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -1014311 - 6411?\nAnswer: -1024022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1768?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -0.4, -3, -0.05, -42?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is a6 (base 11) in base 4?\nAnswer: 1310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert -13b71a (base 13) to base 15.\nAnswer: -97db9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 201*h - 4463438 + 671924 = 42*h. What is the hundreds digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be 1 - 0 - (-6 + 2). Suppose -t + 5*t + 12 = -5*v, 3*v - 2*t = 6. Is v greater than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 86 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.0696 * 0.039.\nAnswer: 0.0027144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let u = 0.1 - -0.2. What is the closest to -3\/2 in -0.1, 0.1, u?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 445 minutes before 6:24 AM?\nAnswer: 10:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let r(v) be the third derivative of -2693*v**7\/210 - 44*v**5\/15 + v**2 + 2*v - 318. What is the third derivative of r(b) wrt b?\nAnswer: -64632*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 2843?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let z = 2\/51669 - -51665\/103338. What is the nearest to z in -190, 15, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -25 or -15?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*f + 60 - 56 = -3*z, z = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v**2\/((v*v**(-2\/3)*v)\/v*v))\/(v*v**(6\/11)*v)**(-1\/32) assuming v is positive.\nAnswer: v**(197\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: (-2 - (-12)\/(-48)) + (260\/120)\/((-6)\/(-81))\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*y + 82*l = 85*l, -4*y = -2*l for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*y - 1 = -2*y - 5*w, -5*y = -5*w. Let q be (0 + 1)\/(1\/y). Let m(a) = 39*a - 1. What is the tens digit of m(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -84 - -120. Let i(n) = -n**3 + 19*n**2 - 29*n + 5. Let u be i(17). What is the highest common factor of u and t?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s*s\/(s*s**(-3\/5)))\/(s\/((s\/(s\/s**3*s))\/s))*((s**4*s)\/s)\/s**8 assuming s is positive.\nAnswer: s**(-12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let q be -3*1*(-2 - (-55)\/24). Suppose -2*n = n + 3*n. Which is smaller: n or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 18\/5885 and 103\/12518.\nAnswer: 6697130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Factor -2\/11*m**3 - 15416\/11*m + 106032\/11 - 364\/11*m**2.\nAnswer: -2*(m - 6)*(m + 94)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (138*o**2 + 91*o**3 - 138*o**2)*(-o**2 + 2*o**2 + 0*o**2) + (4*o**2 - 5*o**2 + 0 - 2)*(2 + o**3 - 2).\nAnswer: 90*o**5 - 2*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is -695 divided by 695?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let g(l) = 1048*l**3 + l**2 - l + 2. Let s be g(1). Round s to the nearest 100.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -4854, -5469, -6498, -7941, -9798, -12069, -14754?\nAnswer: -17853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Convert 2b8 (base 16) to base 6.\nAnswer: 3120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 g and 1 l when two letters picked without replacement from llgvgglglgggggggglo?\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 0.870472cm in kilometers?\nAnswer: 0.00000870472","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort -70593, -60, -9.\nAnswer: -70593, -60, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) = -312*g - 120. Let r be q(-3). Find the second derivative of -130*b + 409 - 150*b**2 - r + 406 wrt b.\nAnswer: -300","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -13 = -d + 2*o - 23, -15*d - 69 = -3*o for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -2\/15, -0.015, -0.2, -2\/139?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 12 and 9192?\nAnswer: 9192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 418 minutes before 1:01 PM?\nAnswer: 6:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let q(k) = -k**3 - 7*k**2 + 8*k + 5. Calculate q(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -84 = -6*y + 2*y. Suppose -3*t = -y - 3. Suppose i + 2 - t = 0. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 107\/6552 and -25\/4004?\nAnswer: 72072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:27 PM and 1:36 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Express (7 + 1 - 5)*(-14 - 20*z + 14 + 2*z - 3*z + 3*z + (z - 2*z + 0*z)*(0 - 4 + 3) + 16 - 16 - 52*z) as y + c*z and give c.\nAnswer: -207","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand (-p + 0*p + 3*p + (-1 - 1 + 0)*(3*p - p - 4*p) - p + 0 + 0 + 3*p - 3 + 3 - 1 + 1 + 2*p)*(4*p**3 - 5*p**3 + 28*p**3).\nAnswer: 270*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*d = -y - 12, -4*d - 3*y + 4 = -12. Is 2*(0 + 364\/d) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) = g - 14. Calculate j(22).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is (1715\/(-7203))\/((-7)\/(-42))?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let o(n) = 4*n + 9. Let y(v) = -6*v - 14. Suppose 0*a - 4*a = -32. Determine a*o(p) + 5*y(p).\nAnswer: 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: -4 + (-24 - -22 - (7 - (-2 + 5)))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 72244.\nAnswer: 2, 18061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 56462 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 13207011?\nAnswer: 3, 17, 15233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let s(n) = -46*n**2 + 6*n - 7. Determine s(1).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 884336 is divided by 328.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -16433, -18032, -19625, -21212, -22793?\n\"Answer: 3*c**2 - 1608*c - 14828","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let w(c) be the third derivative of 6\/5*c**3 + 32*c**2 + 0*c + 1\/10*c**4 + 0 + 1\/300*c**5. What is p in w(p) = 0?\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.07280345 to 2 decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 8 or 2\/65?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let v(b) = 14*b**3. Let y be v(1). Suppose 0 = 5*m - 15, 2*m = -4*w + y - 0. Suppose l - w*l = -12. Is l a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -l - 3*l + l + (l - 3*l + 3*l)*(-128 + 13 + 9).\nAnswer: -109*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let b(p) be the third derivative of p**7\/840 + 4*p**5\/15 + 6*p**2. Let v(g) be the third derivative of b(g). Let r(a) = -95*a + 49*a + 48*a. Calculate v(r(q)).\nAnswer: 12*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1345?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1302197.\nAnswer: 13, 100169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let s(f) = -f**2 - 3*f. Let y be s(-5). Let u be 2\/y - (-64)\/20. Suppose -6*g + g + 5 = a, 53 = u*a - 4*g. What is the greatest common divisor of a and 135?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 1 (base 12) to base 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 14 a factor of 64330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3*1*sqrt(117)*4 - ((sqrt(65) - (sqrt(65) + sqrt(65) + (sqrt(65) - sqrt(65)*-1)))*4)\/(sqrt(320)\/sqrt(4)))**2*1.\nAnswer: 19773","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -3, 1\/3, 2\/37, -55, -7, 12?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from okwwko. What is prob of sequence ook?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-272)\/(-408)*66\/4.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 371 minutes before 9:33 AM?\nAnswer: 3:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand (418 - 476 + 0*n**2 - n**2)*(22*n**2 + 0*n**2 - n**2).\nAnswer: -21*n**4 - 1218*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 71, 195, 399, 683, 1047, 1491, 2015?\n\"Answer: 40*j**2 + 4*j + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -116, -304, -492?\n\"Answer: -188*w + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 0, -3, -1\/2, -0.3, 1, -0.4, -10?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} {"text":"Question: Calculate -0.2 + 88766400386.58.\nAnswer: 88766400386.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*i = 11*i - 24. Suppose -i = -5*a + a. Solve 3*h + 25 = -a*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 432008 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose o - 2*n = 6, -2*o - n + 6 = -3*n. Suppose o = 47*k - 46*k - 307. Is k a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 398.\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -19\/2, 3\/5, -0.3?\nAnswer: -19\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -51579977*f**2*k - 56598354*f**2 with respect to k.\nAnswer: -51579977*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 86779452*o**3 - 301997*o**2 + 4*o + 2 wrt o?\nAnswer: 520676712","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 2042 (base 5) in base 14?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 32*l**4 + 34*l*n + 11*n - 42 wrt l.\nAnswer: 128*l**3 + 34*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 5391?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 18 and 17642043?\nAnswer: 35284086","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q*q\/(q\/q**(-4)))**34*((q**(-1\/6)*q)\/q)\/q**24 assuming q is positive.\nAnswer: q**(-757\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 2460117 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: Express -1 + 4*b**3 - b + 6 - 5 in the form s*b + p*b**2 + v*b**3 + g and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let f(a) = 43*a + 59. What are the prime factors of f(6)?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 101111110 (base 2) in base 6?\nAnswer: 1434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 111919351 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let s = 2.6 + -1.6. Let q = 0.7 - s. Let z = 0.05 + -0.55. Which is the nearest to -1? (a) -3 (b) z (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 5 + -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let u be ((-4)\/6)\/((-2)\/36). Let d = u + 11. List the prime factors of d.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 37 - 24. Let u = o + -13.4. Let w = -0.1 - 3.9. What is the third smallest value in -0.5, w, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 18*k + 33*k - 59*k**3 + 4 + 8.\nAnswer: -59*k**3 + 51*k + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*k - 3*j = -1102 + 12225, -4*k + 8900 = -2*j. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(a) = 2*a**3 + 11*a**2 - 8*a + 26. Let x(q) = q**3 + 5*q**2 - 4*q + 12. Let h(i) = -6*n(i) + 13*x(i). Calculate h(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -5 in 0, 0.02, 2117, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -83\/90 and -187\/90.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 7345 less than 0.4?\nAnswer: -7344.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate (1581\/34)\/31*(-2)\/(-6).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is -0.14 at most as big as 5\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let d(p) = 15*p**3 - 2*p**2 + 2*p - 1. Let q be d(1). Suppose -x - q = -f + 2*x, 5*x = -2*f + 72. Let r = 21 - 12. What is the remainder when f is divided by r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -22 = 2*f + 4*z, -19*f + 14*f - 2*z = 79. Sort 2, -1, f, 3 in ascending order.\nAnswer: f, -1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 2071 - 3151. Let b(g) = -g**3 + 6*g**2 - 3*g + 4. Calculate the remainder when (2\/(-3))\/(18\/l) is divided by b(5).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3319426341.\nAnswer: 3, 7, 11, 17, 281761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let v(y) = -3*y. Let h(d) = -5032788*d. Calculate v(h(k)).\nAnswer: 15098364*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate 264588 divided by -3.\nAnswer: -88196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 6*t**3 + 15*t**3 + 21*t - 5*t**3 - 21*t.\nAnswer: 16*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 4 - (28\/16)\/1 - 2 - (-183419)\/(-4924)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let o(z) = -2*z**2 - 13*z + 259. Calculate o(8).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 4751994*i**2 - 973256 wrt i.\nAnswer: 9503988*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 8072 or 0?\nAnswer: 8072","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let k = -0.577 + 0.677. Which is the third smallest value? (a) 5 (b) k (c) -31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*y - 17 - 8 = 0. Solve 3*n + y = -2*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(x) = 8*x - 3. Let z(j) = 40*j - 16. Let v = 439 - 423. What is v*t(f) - 3*z(f)?\nAnswer: 8*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let s(x) = 28 - 28 - 2*x**2 + 3*x**2. Let o(u) = -10*u. Determine s(o(b)).\nAnswer: 100*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Sort -63, 1, -1, 17 in decreasing order.\nAnswer: 17, 1, -1, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many centuries are there in 266777.94 months?\nAnswer: 222.31495","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:57 AM and 12:59 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let m = 1863 - -255. List the prime factors of m.\nAnswer: 2, 3, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 7525567921 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*w = -34*r - 161, -3*w - 342 = 5*r - 326 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 15768686 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 219519?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: 0.1 times -164174.3\nAnswer: -16417.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 1910072921 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand -5*s + 2*s + s - s - 5*s + s + (-1 - 1 + 4)*(-3*s + 0*s + 0*s).\nAnswer: -13*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let h be ((-4)\/(-3))\/((-8)\/(-12)). Suppose -a = -h*a - 1. Let q(t) = -77*t**3 - t - 1. Let z be q(a). Calculate the highest common divisor of z and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 199*k + 71536 + 8882 = 201*k. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -20 by 32.\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let d be (36\/21)\/((-6)\/(-294)). What is the highest common factor of d and 252?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -63 + 16. Let g = 46 + s. Let n be (-1)\/(316\/(-8) + -2). Which is smaller: n or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -9 + (-33)\/(-44)*24\/9*124\/(-8)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*j = 3*f - 5, -2*j + 3 + 3 = 4*f. Suppose 0 = -5*i + i. Let b = f - i. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(f) = 64*f**3 + 2*f**2 - 9*f + 13. Let i be l(7). Round i to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s\/(s*(s\/s**2*s)\/s)*s)**(-30\/7)*(s*s**8)\/((s**(3\/5)*s)\/s) assuming s is positive.\nAnswer: s**(-6\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 2269, 9601, 16933?\nAnswer: 24265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*u - 36 = -7*i + 4*i, 4*u + 19895*i - 20 = 19896*i for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -5? (a) 374 (b) 1\/4 (c) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let r = 84658 - 246860\/3. Which is greater: r or 2371?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 16161, 32368, 48595, 64842?\nAnswer: 81109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Sum -8.45 and -1715433780.\nAnswer: -1715433788.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -4*d**2*z**2 + 15*d**2*z - 2*d**2 + 1047*z**2 + 2*z + 1 wrt z?\nAnswer: -8*d**2 + 2094","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8 = -4*y - 8. Suppose y + 1 = -i + m, 4*m - 12 = 2*i. Suppose 4*b = i - 12, 2*w = -2*b + 2. Solve -p + 4*q = p + 4, -w*q = -2*p - 1 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 775 + -768. Let q(v) = -v**3 + 7*v**2 + 6*v + 5. What is q(p)?\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 48\/595 and (-2)\/(-11)*(1 + 27\/(-34)).\nAnswer: 6545","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -0.026 + -0.093. Let j = -0.09 - v. What is j rounded to 2 dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 79\/30 and -19\/55069595.\nAnswer: 330417570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-12)\/16)\/((-12)\/(-80)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -163118, -163120, -163122?\nAnswer: -163124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 - 23 - 28)*(0 + 2 - 3)*(1 - 2 - 1)*(0*g**5 - g**3 + 0*g**3 + 2*g**5).\nAnswer: -192*g**5 + 96*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2 in 0.1, 3, -0.08, -0.5, -34\/115?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let r = -7581.0038 + 7580. Let n = r - -1.06. What is n rounded to 3 decimal places?\nAnswer: 0.056","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -6*c**2 - 14345*c**4 + 0*c**3 - 24 + 14357*c**4 + 0*c**3 to the form f*c**4 + w*c + p + a*c**3 + z*c**2 and give p.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:15 PM and 6:32 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 846*a**3*r**3 - 334*a**3*r**2 - 2*a**3 + 4*a**2*r**2 - 130*a*r**3 - 2*a*r**2 - 2*r**3 + 4*r wrt a.\nAnswer: 5076*r**3 - 2004*r**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*b - 9 = -51*f + 48*f, -f - b - 5 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(6) + 3*sqrt(6))\/sqrt(2) + sqrt(21)\/(sqrt(7) - sqrt(28)) + sqrt(3))**2.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let k be 1\/(-3) - (0 + 0). Let m(w) = -w**3 + 3*w**2 + 6*w - 4. Let q be m(-4). Let b be 5 + -1 - 360\/q. Which is smaller: k or b?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, -4, -64, 2, 13, -1, -5 in decreasing order.\nAnswer: 13, 4, 2, -1, -4, -5, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate (3 - 3) + (92 - 94) - (-109 + 1).\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -8 - 17*a + 7*a + 2 wrt a?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(c) = c**3 + 11*c**2 + 11*c + 3. Let i be a(-10). Let m = 3 + i. Let l be (-197)\/(-13) + m\/26. What is the greatest common divisor of l and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 335.2317 + 342.\nAnswer: 677.2317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let h(y) = 30*y + 2. Let q(m) = 4*m + 7*m - 114*m**2 + 3*m - 14*m. Give h(q(u)).\nAnswer: -3420*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*c = 3, 0*d + 3*d - 74 = 5*c. Find the third derivative of -11*g**2 + g**6 - 8*g**2 + d*g**2 wrt g.\nAnswer: 120*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 12298893387 - 24*y - 12298893387.\nAnswer: -24*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -19\/3414 and (426\/(-15))\/(16\/(-20)).\nAnswer: 3414","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(t) = t - 1. Suppose 0 = -2*j + 4. What is m(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -13756600 rounded to the nearest one hundred thousand?\nAnswer: -13800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 19\/36 and -55\/168.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2\/11*b**3 + 40\/11*b**2 - 8\/11*b - 160\/11 = 0. Calculate b.\nAnswer: -20, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:05 AM and 11:39 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*q - 125 = -105. Let r(b) = b**2 + 4*b - 4. Let l be r(-4). Which is bigger: q or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*i = -13*i + 1125. Suppose -4*m = -567 - i. Is 22 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many nanometers are there in 6\/25 of a micrometer?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x**(-5\/2)*x*x**(-4\/7)*(x**(-1\/2))**(-26\/9))\/(((x*x\/(x**(-4)\/x))\/x)\/x**(6\/5))**1 assuming x is positive.\nAnswer: x**(-3419\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 1277*y**2 + 5*y - 1148*y**2 + 2 - 2 - 1 to n*y + s*y**2 + t and give s.\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let d(m) = m**3 - 8*m**2 + 25*m - 339. Calculate d(9).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 18*s + 129 - 723 = 0. What is the third derivative of s*p**3 + 426*p - 35*p**2 - 847*p + 421*p wrt p?\nAnswer: 198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-4)\/10)\/((-3)\/((-27)\/6))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -38*p**3 - 60*p?\nAnswer: -228*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let z(s) be the third derivative of s**4\/24 - 5*s**3\/6 - 27*s**2. Let g(v) = v - 4. Determine 3*g(n) - 2*z(n).\nAnswer: n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let r = 4.6 - 4. Which is the second smallest value? (a) 4 (b) -2 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*a**3 + 360*a**2 + 714*a + 356 = 0. What is a?\nAnswer: -178, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Put together -26497313 and 16.\nAnswer: -26497297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let z(j) = -j**2 - 3*j. Let h be z(-2). Suppose 6*v = h*v - 40. Let p(f) = 4*f - 1. Let u(y) be the second derivative of -y**3\/6 + 2*y. Give v*u(a) - 2*p(a).\nAnswer: 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*o = 15, 9*n - o - 3 = 7*n. Suppose -3*y + 46 = 5*t, t - 67 = -7*y + n*y. Which is greater: y or 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -283394 - -0.23.\nAnswer: -283393.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*z + 5*d + 32 = 0, -4*z + d + 8 = 3*d. Suppose -127 + 31 = z*k. Let h = 0 - k. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -59 in -19\/4, -37060, -0.2?\nAnswer: -19\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 101\/20 and -103\/34.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let f(h) = -9*h + 5. Let l(m) = -10*m + 5. Let r(w) = -7*f(w) + 6*l(w). Let q(p) be the second derivative of -p**2\/2 + 16*p + 27. Determine -5*q(c) + r(c).\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00547798 to 5 decimal places.\nAnswer: -0.00548","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let t = -33 + 21. Let v = t - -12.05. Which is the second smallest value? (a) -5 (b) v (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2\/3? (a) 0.5 (b) 5 (c) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -1542586613, -1542586612, -1542586611, -1542586610?\n\"Answer: q - 1542586614","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 0.1 (b) -5 (c) 392\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1 - (-18)\/(-27) - (-51)\/(-99).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 1.4 - 0.2. Let u = k - 6.2. Let w = -1 - -1. Which is the closest to w? (a) u (b) 0.4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(y) = 5*y - 6 - 3*y + 0*y. Suppose 3*l - 2 = 16. Calculate the least common multiple of 6 and n(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(r) = -139449*r - 21893480. Give q(-157).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in 12\/25 of a centimeter?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 w and 1 u when two letters picked without replacement from {u: 3, w: 1}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is -8 <= -213\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate 22150 divided by -4.\nAnswer: -11075\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 16 and 206773676.\nAnswer: 827094704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1513062 is divided by 201?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 15 + (16 + -13 - 4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 140840 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let a = 334.21 - 334.22. What is the nearest to -2\/21 in a, -10, 5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-2)\/12)\/(69\/1656)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -44 - -44. Suppose 0 = -2*u + o + 6, u - 6*o + 3*o + 7 = w. What is the second smallest value in -22, u, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-64)\/(-20))\/(40\/100).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q = 2173 - 260. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (0 - 5) + -48 + 72 + -39?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve v = 5*d + 36 - 11, 2*v - v = 20*d + 55 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 125*u**2 - 30 + 424*u**2 + 30.\nAnswer: 549*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -3\/5, -449.57, -5, 5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let g = -170647 + 170650. Factor 3\/4*w**g - 1\/4*w + 0 + 1\/2*w**2.\nAnswer: w*(w + 1)*(3*w - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from vvvvllvlvlvll. Give prob of sequence vll.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let -k**4\/7 - 32*k**3\/7 - 246*k**2\/7 + 32*k\/7 + 247\/7 = 0. What is k?\nAnswer: -19, -13, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let r(z) = -z**3 + 6*z**2 + 6*z + 7. Let s be r(7). Let p = s - 0. Suppose 0*v + 4*v + 4 = p. Which is greater: v or 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 1\/3*c**2 - 2\/3*c + 1\/3.\nAnswer: (c - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from najvaafjffjavfacv. What is prob of picking 1 v and 1 n?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -3\/4? (a) 0.3 (b) -4 (c) 1\/9 (d) 47566\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q**(-11)\/q)**(-13\/2)\/(q*q**(1\/7))**(9\/8) assuming q is positive.\nAnswer: q**(537\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand 15811 + 2*v - 15553 + 0*v + (-5*v + v + 3*v)*(-1 + 5 - 3) + 3*v - 5*v + 0*v.\nAnswer: -v + 258","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence jjjj when four letters picked without replacement from {j: 4, d: 16}.\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -3*((-6)\/24 - 57\/(-252)) + 435\/(-14)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*h + 579 = -31*b + 529, 4*h - 5*b = 22 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let a = -18 + 3. What is the tens digit of (-3)\/a - (-89)\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(l) = -14996*l + 8. Let y(m) = 5*m - 3. Give n(y(h)).\nAnswer: -74980*h + 44996","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let m = -5818\/5 + 1164. Which is the closest to 6? (a) 1\/3 (b) m (c) 4 (d) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find y such that -5*y**2 - 21593345*y + 1036492080 = 0.\nAnswer: -4318717, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let n(y) = 106*y + 936. Give n(-17).\nAnswer: -866","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let p = 3.19 - -142.81. Let x = 146.1 - p. What is the closest to -4 in x, -2, 2\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.1 in 5, -43, -0.5, -0.4, -0.26?\nAnswer: -0.26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 1160153 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-4379)\/6699 - (-24)\/63.\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*h = 35 - 5. Suppose -h*x = -x - 15. Factor -b**2 - 27*b - b**2 + 31*b - b**x + 8.\nAnswer: -(b - 2)*(b + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*f = -2*n - 83764 + 83720, 3*f + 62 = -4*n for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -5809603, -11619203, -17428799, -23238391?\nAnswer: -29047979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2 - 54*o - 122*o + 2.\nAnswer: -176*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, -17, -56, 18.\nAnswer: -56, -17, -5, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let i(f) be the first derivative of f**8\/56 + f**5\/10 + 3*f**2 - 1. Let d(c) be the second derivative of i(c). What is the third derivative of d(l) wrt l?\nAnswer: 360*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 41 divide 22392494?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) be the second derivative of r**3\/2 - 3*r. Let z(f) be the second derivative of 0*f**3 - f - 1\/4*f**4 + 0*f**2 + 0. Give z(l(t)).\nAnswer: -27*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let f(l) = 6*l - 5*l - 2*l. Let r(m) = -3*m + 3*m - 2 - 10 + m. What is f(r(k))?\nAnswer: -k + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 234261993 is divided by 25.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find k, given that -5*k**5\/2 + 10*k**4 + 45*k**3 + 50*k**2 + 35*k\/2 = 0.\nAnswer: -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let t(y) = 5*y**2 + 3*y - 4. Let f(d) = 11*d**2 + 7*d - 9. Give 2*f(q) - 5*t(q).\nAnswer: -3*q**2 - q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 477\/275273 or -1?\nAnswer: 477\/275273","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*c + 4*k + 81, -c + 5*k - 73 = -5*c. Let h = c + -18. Are h and -3\/16 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f\/((f\/f**4)\/f)*f**(-1)*(f*f\/(f\/(f*f**0*f)))**(7\/10))**(3\/8) assuming f is positive.\nAnswer: f**(183\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 11307578897 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((6*(3*sqrt(176) - sqrt(44)))\/(-6*sqrt(36) + sqrt(4) + sqrt(256) + sqrt(256)*-2) + -5)**2.\nAnswer: 12*sqrt(11) + 1021\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate 9 - (17208\/1782 - 2\/18).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Put -2, 5, 1102, -26, 2 in decreasing order.\nAnswer: 1102, 5, 2, -2, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Divide 2 by -36225346.\nAnswer: -1\/18112673","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify b**(3\/7)*b**(-21)\/b assuming b is positive.\nAnswer: b**(-151\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Does 297 divide 4987782?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from mlcgbcbglgbgblbullgu. Give prob of sequence mgcg.\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) -10 (b) 0 (c) -18 (d) -77\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 20196361, 20196362, 20196363, 20196364, 20196365?\n\"Answer: y + 20196360","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 = 8*b - 7. Suppose r + b = -2*f + 3*f, -3*r + 1 = -f. Solve -2*l - 18 = 3*k, -k - 10 = -f*l + 3*k for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence rer when three letters picked without replacement from errererererere?\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 633623 to the nearest integer?\nAnswer: 796","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 2 + 98\/14 + (5 - 5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Divide -2 by -577.\nAnswer: 2\/577","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 40744357 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is ((-14)\/189*-18)\/2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5232286.\nAnswer: 2, 2616143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -2 divided by -5520?\nAnswer: 1\/2760","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let z be (36\/(-8))\/((-3)\/6). Suppose -4*i + 9*i = 3*w + z, -2*w - i = -7. What is the second derivative of 6*c + c + 74 - w*c**2 - 74 wrt c?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -26*l - 165692 = -4*h - 24*l, 2*h + 2*l - 82858 = 0. What is the thousands digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l**2)**(-1\/11)*(l**(-2\/3))**(-3\/8) assuming l is positive.\nAnswer: l**(3\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let g(z) = -1099*z + 934. List the prime factors of g(-13).\nAnswer: 31, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1778008 + 6*v**3 + 1778008.\nAnswer: 6*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let m = -166 + 86. Let c = 4176 - 41877\/10. Calculate the common denominator of c and (-15)\/(-55)*m\/(-6).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(c) = 4*c**2 - 5*c**2 + 0*c**2 + 4*c**2 - 7*c - 2*c**2 + 2. Calculate f(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -110274.5 - -110275.253657. Let a = l - 0.754. What is a rounded to five dps?\nAnswer: -0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-3)\/(2\/(-1 + -1)). Suppose -18*i + 19*i = 54. Suppose -3*b - 2*u + i = 2*b, y*b - 24 = 3*u. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -101\/917136 and -115\/750384.\nAnswer: 8254224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let n be -7 + (-7680)\/(-378) - 12\/(-108). Solve -48\/7*w**4 - n*w**2 - 44\/7*w - 97\/7*w**3 - 8\/7 - 9\/7*w**5 = 0.\nAnswer: -2, -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 m and 1 x when four letters picked without replacement from {x: 1, m: 3, y: 5}?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1 or -6\/175?\nAnswer: -6\/175","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let l = -232 + 482. Suppose -l*m - 12453 = -257*m. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*y + 5 = 29. Find z such that -z - 3*z + y*z**2 - z**2 + z**2 = 0.\nAnswer: 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 196140, 196137, 196134, 196131, 196128?\n\"Answer: -3*z + 196143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let p = -888 - -581. Let f = p - -309. Solve -4*g = -g - 5*b - 11, f*b = -2 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -5*w**2 - w**2 - 4 + 3*w**2 - 6*w**2 as i*w**2 + o + d*w and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let q(l) be the first derivative of -2 + 8*l - 7\/2*l**2 - 1\/3*l**3. What is the units digit of q(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 719929837 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ah when two letters picked without replacement from {h: 3, a: 5, k: 4}.\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 4 q when four letters picked without replacement from jjjjjqqqjjq.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1 + 0 + -30 + 44 - -12.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v(a) = -a**3 - 10*a**2 + 34*a - 15. Calculate v(-12).\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let o(n) = -n**3 - 11*n**2 - 11*n - 10. Let u be o(-10). Which is the second biggest value? (a) 0.04 (b) -4 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many centuries are there in eighteen fifths of a millennium?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -69\/15170 and -23\/10.\nAnswer: 15170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 x and 1 y when four letters picked without replacement from xxqyxsxyn.\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -0.232, 14, 5, -8\/469?\nAnswer: -8\/469","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -28*d + 1515 = -31*d. Let l = 130 - d. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*d**3 + 5*d**2 + 20*d - 20.\nAnswer: -5*(d - 2)*(d - 1)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 300, 342, 382, 420, 456?\n\"Answer: -d**2 + 45*d + 256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence au when two letters picked without replacement from dydduuhadud.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate 9 - (-3 + -5 + 13).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l(a) = -a**2 - 4*a + 4. Calculate the least common multiple of 1 and l(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 170\/442*65 + -55.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let p(k) = 9*k + 49. Let j = -96 - -90. Let o be p(j). Let c be -3 - -1 - 288\/(-136). Are c and o nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*x**3 - 719*x**2 + 536*x + 179 = 0.\nAnswer: -1\/4, 1, 179","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -39*d**2 - 1627*d + 691759 wrt d?\nAnswer: -78*d - 1627","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 182 - 21?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*s + 0*r + r + 1282 = 0, 0 = -4*r + 20. Suppose -w + 5*x + 99 = -26, 3*x - s = -3*w. Suppose -435 - w = -5*h. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -161*i*r**4 - i*r**3 + 76578*i*r - 115250*r**4 + 133*r**2 wrt r.\nAnswer: -3864*i*r - 6*i - 2766000*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence bucu when four letters picked without replacement from {u: 3, b: 2, c: 10}?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 4404319 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: Find the first derivative of -783 - 536*t**2 - 530 + 192 - 1502*t**2 - 154 wrt t.\nAnswer: -4076*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -103 + 103.0000101. Round n to 6 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -5405\/36 + 1238\/9. Let b be (-38663)\/(-12) - 12\/16. Let f = 3239 - b. What is the common denominator of i and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 79*b + 0*b + 2144 = -55*b for b.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand r + r**3 - r + (r - r - 2*r**2)*(15*r - 22*r + 22*r).\nAnswer: -29*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 500?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ic when two letters picked without replacement from {i: 5, c: 9}?\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: 567 (base 8) to base 10\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*q + 368 = 3*k, 6*q + 489 = 4*k + q. List the prime factors of k.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 13 = 4*v - 3. Suppose -v*x = -66 - 34. Let z = -6 + 11. What is the greatest common divisor of x and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(o) be the third derivative of -o**7\/1890 - 7*o**6\/360 - 2*o**5\/9 - 25*o**4\/54 + 3640*o**2. Solve l(k) = 0 for k.\nAnswer: -10, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 1288490?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let c = -760 + 2091. Suppose c - 47 = 4*o. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(o) = -o**2 + 8*o - 4. Let h be g(6). What is the common denominator of 2\/(-7) - (-2599)\/1771 and (4 + 0)*35\/h?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(i) = -7822*i**2. Let r(d) = 2*d**2. Calculate l(r(a)).\nAnswer: -31288*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Determine g so that 3*g**4 - 1244286*g**3 - 3732879*g**2 - 2488590*g = 0.\nAnswer: -2, -1, 0, 414765","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 86042 to the power of 1\/3, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Does 7 divide 2415?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let o = -1465 - -2114. Suppose 33*g + 261 = 34*g. Suppose 7*q = o + g. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 533 is divided by 79?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 117 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 9 = 21*p + 266 - 5 for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let x(m) = m**3 - 2*m**2 + 5*m. Let a be x(4). Suppose 2*f - 16 = 3*w + 23, -f - 5*w = -a. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*y - 2*d - 122, -y - y + 4*d + 36 = 0. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(u) = -2*u**2 + 82. Let m(j) = -75*j**2. What is c(m(k))?\nAnswer: -11250*k**4 + 82","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: 0.04761 times -44646\nAnswer: -2125.59606","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -2\/9 and (-49)\/(-10) - 3\/6.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 588*p**3 - 590*p**3 - 2*p - 3 + 46*p**2 - 4 + 6 in the form n*p + z*p**3 + v + r*p**2 and give r.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} {"text":"Question: Let f(y) = -y**2 + 4*y + 3. Let d be f(4). Suppose -2*r - 5 = -3*v + 18, 2*r - 19 = -d*v. Calculate the remainder when 12 is divided by v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -535531, -535536, -535543, -535552, -535563, -535576?\nAnswer: -535591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -1\/9, 3, 2\/25?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let q(o) = o**2 + 7*o + 4. Let g be q(-7). Suppose n + g*n + 70 = 3*k, 4*k - 90 = 5*n. List the prime factors of k.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(17) + -1)*-3 - sqrt(187)\/sqrt(275).\nAnswer: -16*sqrt(17)\/5 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 101541695?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let v(l) = -5*l**2 + 38*l + 256. Let d be v(-4). Solve 1116*f = 1122*f - d for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (144\/33 + 76\/(-209))*13\/8*2. Let v(y) be the third derivative of -y**6\/120 + y**5\/5 + 13*y**4\/24 - 2*y**3\/3 + y**2. Determine v(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(3888) + 1 + -1 + (sqrt(300)*-1)**2*-4 + -5.\nAnswer: -1205 + 36*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand (-32*d + 21*d - 23*d)*(-3*d + 5*d - 18*d).\nAnswer: 544*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1114*k**3 - 1562*k**3 + 451*k**3.\nAnswer: 3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:32 AM and 12:10 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is -3534 less than -14702?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 61429440?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let u(m) = -m**3 + 11*m**2 + 22. Let r be 7\/1 - (-10)\/((-100)\/(-70)) - 3. Calculate u(r).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(y) = -y**2 + 28*y + 8. Let d be f(10). Suppose 4*b - 4*q - d = 0, -4*q = -q - 12. Is b a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract 92260.56 from -0.83409.\nAnswer: -92261.39409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let u = 4 + -12. Let n = u + 13. Suppose -1 = -k - 3. Put 3, n, k in ascending order.\nAnswer: k, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 7940.\nAnswer: 2, 5, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 - j - 1)*(38 + 13 + 19) + 0*j - 5*j + 3*j + (-2 + 4 - 4)*(j - j + j) - 2 + j + 2.\nAnswer: -73*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Factor 22*b**5\/13 + 2*b**4 + 4*b**3\/13.\nAnswer: 2*b**3*(b + 1)*(11*b + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: 3 - -0.00702228\nAnswer: 3.00702228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let s(n) = -n**3 + 1 + 2*n - n**2 - n - 5. Let m(k) = -k**2 + 2*k + 5. Let a be m(4). Is s(a) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -804 + 803. Which is the smallest value? (a) -11 (b) 3 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find q, given that -3*q**2 - 9984*q - 5264541 = 0.\nAnswer: -2671, -657","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let s = -157167 - 331124. Let p = s - -488229.9893. Let g = p - -61. What is g rounded to 3 decimal places?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(x) = 249*x - 124*x - 4*x**2 - 132*x. Let a(c) = 2*c**2 + 3*c. Let y(z) = z**3 + 4*z**2 - 3*z - 3. Let f be y(-4). What is f*a(v) + 4*t(v)?\nAnswer: 2*v**2 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let g = 599 + -596. Suppose -g*x = 34*x - 2590. Is 70 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 30756 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let b(i) be the first derivative of i**2 + 15*i + 33. Give b(-8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 6693336 and 936?\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i\/i**(-2\/3)*i**(-2\/11))**(-18) assuming i is positive.\nAnswer: i**(-294\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let k = 17583 + -17566.4. What is the closest to -4 in k, 3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*p - 5*p = -0*p. Solve 3*d - v = 10, -4*d + 3*v + 20 = -p*v for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*n - 25 = 0, 0*o - 2*n = -o - 6. Let k = o + -4. Let f be (4\/(-6))\/1 - -1. Which is the nearest to f? (a) k (b) -5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 83*m**4 - 1211*m**2 + 174*m**4 + 63*m**4 + 2*m**3 wrt m.\nAnswer: 7680*m + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*a = 3*r + 261, 3*a - 50 = -2*r - 308. Let s be (16\/(-48))\/(1\/a). Calculate the highest common divisor of 4 and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(l) = l**3 - l**2 - l + 1. Let g be j(-1). Solve g = 4*t - 3*t + 4 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.5 and 4.4.\nAnswer: -2.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 689*t - 1065190 = 15906*t for t.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let k = 4 - 3. Let p(o) = 36*o. Let f be p(k). Is 15 a factor of 137\/9 + (-8)\/f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2\/13 in -4, 2, -4\/5, -63, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -261, -282, -133, 276, 1035, 2234, 3963?\n\"Answer: 15*x**3 - 5*x**2 - 111*x - 160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let i(f) = -f - 2. Let k(m) = 53. What is -6*i(n) - k(n)?\nAnswer: 6*n - 41","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k**11*k**(2\/25)\/k)\/((k**(6\/7)\/k)\/k**(3\/5)) assuming k is positive.\nAnswer: k**(1894\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -533, -535, -537, -539, -541, -543?\n\"Answer: -2*z - 531","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is ((-3633813)\/(-15) + 0)*((-517)\/(-33) - 14) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 55566 times 4?\nAnswer: 222264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let y(b) = b**2 + 7*b - 6. Let c be y(-10). Suppose 2*g + g - c = 0. What is the highest common divisor of 2 and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 13\/3 - 4. Which is the closest to 5\/2? (a) w (b) 2\/5 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 6649752 and 11.\nAnswer: 73147272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate -108 divided by 1.\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: How many litres are there in 0.3138878 millilitres?\nAnswer: 0.0003138878","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s = 59 + -59. Solve -3*w + 0*q = -4*q - 22, -w + q + 6 = s for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 6287 by 24358.\nAnswer: 6287\/24358","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*j + 7*j = -3*v - 8, -3*v - 1 = -2*j. Is (-2)\/(-4)*20718\/(-9)*j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(12)\/sqrt(2)*3 + (sqrt(378) + sqrt(42))\/sqrt(7))\/(6*sqrt(16)\/sqrt(72)).\nAnswer: 7*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let j(t) = -4*t + 21. Let y be j(21). Let f(l) be the third derivative of l**6\/120 + l**4\/24 - 32*l**3\/3 + 22*l**2 - l. Let o be f(0). Is o >= y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -45 or -743?\nAnswer: -743","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let l(g) = g**3 + 8*g**2 + 3*g - 14. Let r be 56\/(-10) + (-4)\/10. Let v be l(r). Let y = v + -35. What is the remainder when 14 is divided by y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(z) = 5*z + 4. Let j(p) = 22*p + 18. Let x(n) = 26*g(n) - 6*j(n). Calculate x(-8).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(v) be the third derivative of -7*v**6\/60 + v**5\/20 - 12*v**2. What is the third derivative of g(c) wrt c?\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -k + v + 783 = 0, 0*k + 2345 = 3*k + v. Let q be 12\/(-8)*306\/(-27). Suppose 19*y - k = q*y. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 90, 141, 158, 129, 42?\n\"Answer: -2*z**3 - 5*z**2 + 80*z + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b**(-6))**(-1) assuming b is positive.\nAnswer: b**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let b = -13759 + 23254. What is the tens digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 29888641 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let k(m) = m**3 + 14*m**2 + 40*m + 1. Let f be k(-10). Let t(g) = 10*g**3 + 2*g**2 - g - 2. Determine t(f).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(f) = 26*f**2 + 357*f + 1199. What is z(-7)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 3185, 25509, 86115, 204149, 398757, 689085, 1094279?\nAnswer: 1633485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 7\/4 of a millennium in years?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n(r) = -52*r**2. Let k(v) = 252*v**2. What is n(k(s))?\nAnswer: -3302208*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 6 a factor of 4062?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 6 a factor of 415?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let a = 40 - 29. Let m(x) = -x**3 + 12*x**2 - 11*x + 12. Let t be m(a). What is the greatest common divisor of 3 and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 5 and 2652028?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let w(z) = -4*z + 11. Let j(t) = 2*t - 6. What is -5*j(a) - 3*w(a)?\nAnswer: 2*a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 136 minutes before 5:09 PM?\nAnswer: 2:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 351607?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 21042833 is divided by 159.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1\/12*12\/(-9)*-2.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Product of -161 and -57.\nAnswer: 9177","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: -78.813+-5\nAnswer: -83.813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 59, 266, 397, 278, -265?\nAnswer: -1406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Express -121*j + 327*j - 7*j as z*j + f and give z.\nAnswer: 199","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let x be (5\/(-3))\/(3\/(-9)). Suppose -p = -x*g - 2*p + 28, 12 = 4*p. Suppose 0*f + 6 = 3*f, -g*f = -5*j + 110. What is the highest common divisor of j and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 0, -39\/4, 3\/7 in ascending order.\nAnswer: -39\/4, 0, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:43 AM and 3:01 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let i(t) = -t - 1. Let b = -225 + 229. Give i(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -3550, -5196, -6864, -8554, -10266?\nAnswer: -12000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 42031 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: (-1136)\/560 - (256\/(-20))\/8\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u**5\/u*u*(u**(-2)*u)\/u*u**8*u*u**8)**24 assuming u is positive.\nAnswer: u**480","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*z = -0*z. Suppose 2*o - 8 = -z*o. Suppose 3*i - 6*i = -15. Solve o*x = -i - 3 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 2402 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 295 minutes after 3:36 PM?\nAnswer: 8:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*g - 2*s + 11 = s, -3*s = 4*g - 19. Let b(h) = -h - 1. Let w be b(-6). Let q be (-5)\/((-10)\/2) + (-2)\/(-2). Put w, q, g in decreasing order.\nAnswer: w, q, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: (-9)\/(-34)*((-261)\/(-9))\/522\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -j + 3 = 5*l + 5, 3*j + 238 = 202. What is w in -10\/3 - 2\/9*w**4 - 4\/3*w**3 + 0*w**l + 44\/9*w = 0?\nAnswer: -5, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:12 PM and 7:24 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Sort 15\/8, 12.3, 5 in ascending order.\nAnswer: 15\/8, 5, 12.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1873?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*k + 239 = -928. Let g = -227 - k. Let d = g - 95. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 22, 41, -49, -1 in increasing order.\nAnswer: -49, -1, 22, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 978 + 1097 - 2075 - 2*n**2.\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let j(x) = -2*x - 6. Let l be j(0). Let f(q) = q - 7*q - 6 + 2*q + 2*q. Let s be f(l). Solve -4*m + 4 = 4*d + 12, -5*m + s = d for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(x) = -296*x**3 - 5*x**2 + 5*x + 5. Let l(r) = 17464*r**3 + 296*r**2 - 296*r - 296. What is -5*l(p) - 296*m(p)?\nAnswer: 296*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((c*c*c\/(c*c**(-2\/5))*c*c)\/c)**(1\/43))**(-36)\/(c*(c*c**(-5)*c*c)\/c*c\/(c\/(c*c\/(((c\/c**(-7))\/c)\/c)))*c*c)**(-4\/3) assuming c is positive.\nAnswer: c**(-5276\/645)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let t = -12 - -19. Calculate the lowest common multiple of 12 and t.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 76 minutes after 9:40 PM?\nAnswer: 10:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: -39 divided by -16\nAnswer: 39\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 20, -5, -58, -151, -296, -505, -790?\n\"Answer: -2*w**3 - 2*w**2 - 5*w + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -10728, -21559, -32498, -43551, -54724, -66023, -77454, -89023?\n\"Answer: -b**3 - 48*b**2 - 10680*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*z - 11*m = -9*m - 10, -20 = -4*m. Solve 11*d - 12*d - 4 = z for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 1266 and 2743.\nAnswer: 16458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 78 and 676?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let d(f) = 3 + 7 - 5*f + 15*f. Let k = -24 - -31. Let x be d(k). Calculate the highest common divisor of 20 and x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 448?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let s = -144.6 + 46.7. Let r = s + 107. Let v = r + -9.0879. What is v rounded to three decimal places?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 t and 2 a when three letters picked without replacement from kwllalwilltliiaii.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let w(t) = -9*t - 7. Let g(h) = -10*h - 6. What is -5*g(v) + 4*w(v)?\nAnswer: 14*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is next in -3, 41, 161, 393, 773, 1337, 2121, 3161?\nAnswer: 4493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 105 - -2?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let a(d) = -d**3 + 5*d**2 + 8*d - 3. Let g be a(6). Let s(i) = i**3 + 5*i**2 - 7*i - 10. Is s(g) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0 + -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((5*(sqrt(450) - sqrt(450)*1))\/(sqrt(10) + -4*-1*sqrt(10) + sqrt(10) + sqrt(10)))**2*-6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 25925 and 4325?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3 + (-5 + -2*sqrt(11) - (sqrt(11) + (sqrt(132)*-2 + sqrt(132))\/sqrt(12))))**2.\nAnswer: 8*sqrt(11) + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Sum -72.86 and 1536.92.\nAnswer: 1464.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let y(p) = -4*p**2 - 9*p + 5*p**2 + 7 + 2. Suppose -9*i + 77 = -31. What is the tens digit of y(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(i) = 1 - 38*i**2 - 1 + 34*i**2. Let n(d) = -6*d. Determine z(n(p)).\nAnswer: -144*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 1265309 and 584.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -2 - (-6 - (-4 + 4)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Subtract -3139140 from 0.2.\nAnswer: 3139140.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let j = 8 + -15. Let l(o) = -o**2 - 8*o - 9. What is l(j)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00003089 to six dps.\nAnswer: -0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 0.1 smaller than 4348\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 166987 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5*sqrt(8)\/sqrt(4) + 0.\nAnswer: 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 19692?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -19, -12, 11, 56, 129, 236?\n\"Answer: s**3 + 2*s**2 - 6*s - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose o + o = 42. Let t = o + -19. Let w(d) = d**t - 4*d + 2*d**2 + d**2 + 0*d**2. Let h(y) = -7*y**2 + 7*y. Calculate 3*h(a) + 5*w(a).\nAnswer: -a**2 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let a(l) = -l**2 + 13*l**3 + 4*l + 2 - 4*l**2 - 12*l**3 + 0. Let b be a(4). Suppose -5*r + b*r + 165 = 0. What is the greatest common divisor of r and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 5 divide ((-6)\/(-12))\/(1\/70)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-44 - 14*q + 44)*(-q + 2*q - 3*q)*(1 - 1 + 2*q**2) to the form a*q**3 + k*q**2 + o*q + s*q**4 + h and give s.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -101\/26 and 97\/130?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 833133 - 9*k**2 - 833133.\nAnswer: -9*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) -1\/8 (b) 3 (c) -0.4 (d) -0.05 (e) -1\/24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -i + l - 4, -5*i + 5 = -8*i - 4*l for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*j**3 + 670*j**2 + 23115*j + 99450.\nAnswer: 5*(j + 5)*(j + 51)*(j + 78)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 300 minutes after 7:03 PM?\nAnswer: 12:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 81409 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {r: 5, m: 9}. What is prob of picking 2 r and 2 m?\nAnswer: 360\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence xzc when three letters picked without replacement from yxycydxzzxff?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -623720, -2494879, -5613474, -9979505?\n\"Answer: -623718*m**2 - 5*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: (-11 + -12 - -12) + 9 + 1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose w + 0*w - 10 = 0. Let a = -20 + w. Let k be (-26)\/a + 4\/10. Solve q + k = 4 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -0*u - 5*u. Suppose u*v + 7 = -v. Let x = v + 23. Solve 9 = 5*y - x for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -742 rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let r = -1 - -4. Suppose -2*f + 13 = o, 1 = -r*o + f + f. Find the second derivative of 0*x + 6*x**o - 6*x**3 + x**4 + x wrt x.\nAnswer: 12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 64.064 + -0.064. Let t = 64.0000122 - a. Round t to 6 dps.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -4 + 6. Let u be (-2)\/(-8) + (-35)\/(-4). Solve -5*w + l*w + u = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (6 - -6)*19\/2?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 1339161764?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*q = -t - 12, -2*t - 5*q = -q - 24. Solve t + 1 = u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*i + 19 = 5*u, 5*u + 2*i - 3 = 18 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -0*s + 2*s - 20. What is the second derivative of r + 10*r**3 - s*r**3 + 3*r**4 wrt r?\nAnswer: 36*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(p) be the first derivative of 11*p**2\/2 - p - 2. Is m(1) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2 + 2 - (-34 + 39)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y\/y**(-1\/2))**(3\/5)\/(y**(2\/9)\/y)**20 assuming y is positive.\nAnswer: y**(1481\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -18, 156, 592, 1416, 2754, 4732, 7476, 11112?\n\"Answer: 21*t**3 + 5*t**2 + 12*t - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(12)*2*-2)\/(sqrt(16)\/(sqrt(20)\/sqrt(5))) + sqrt(30)\/(sqrt(20)\/sqrt(2)) + (sqrt(3) - (sqrt(108) + 2))**2.\nAnswer: 17*sqrt(3) + 79","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 x when two letters picked without replacement from yxfx?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 30\/11 (b) 3\/4 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 1 - -10011131200?\nAnswer: 10011131201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let k = 22 - 25. Let f be 8\/(-14) - (k + (-1 - -3)). Which is the third smallest value? (a) 2 (b) f (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: -29 - (4 + -43) - (5 + -36)\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y(l) be the second derivative of -7*l**4\/12 - 328*l + 2. Let d(s) = 2*s - 10. Calculate y(d(r)).\nAnswer: -28*r**2 + 280*r - 700","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let c(a) be the first derivative of -17*a**7\/7 - 10*a**3\/3 - 1. Find the third derivative of c(d) wrt d.\nAnswer: -2040*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -b27 + -207c5?\nAnswer: -2161c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: 23234 times 599\nAnswer: 13917166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-22)\/(792\/270))\/((-10)\/16)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is twenty-one eighths of a kilogram in grams?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i = 1.8 + -2. Let k = 3.3 - 4. Let f = i - k. Which is the smallest value? (a) f (b) 3 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(f) = -f**2 + 4*f + 4. Let b be n(4). Suppose -t + 32 = b*m, -t - 3*t = -4*m + 32. What is the remainder when 15 is divided by m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -32996.1434 rounded to the nearest 1000?\nAnswer: -33000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 627135816?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 1270112 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 918790 and 918790?\nAnswer: 918790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: 10\/20*(-24)\/66\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*o + 0 = 6. Let a be 2 + 1 + o - -1*8. Solve -5 = -5*d + a for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(x) be the first derivative of x**8\/56 + x**7\/21 - x**6\/36 - x**5\/6 + 4*x**3\/9 - 5*x**2\/2 + 5. Let w(h) be the second derivative of y(h). Factor w(b).\nAnswer: 2*(b + 1)**3*(3*b - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -448, -889, -1330, -1771, -2212?\nAnswer: -2653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 23 - 14 + 20*s - 9 - 2*s**3 - 25*s.\nAnswer: -2*s**3 - 5*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Subtract 0.1 from -986011.\nAnswer: -986011.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let q(d) be the first derivative of 3 + 0*d - 1\/2*d**2. Let f(u) = -3*u. Determine q(f(c)).\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 1308017563 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 600 and 408.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -72 - 122*w**4 - 19*w**4 + 22*w**4 + 26*w**4 wrt w.\nAnswer: -372*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*s + s - 15 = 0. What is the second derivative of 0*u**3 - 2*u**s + u - 2*u wrt u?\nAnswer: -12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be ((-38)\/(-10) - 1)*-510. Is (64\/3)\/((-136)\/b) a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 152 = 6*r - 2*r. Suppose -r*o - 94 = -40*o. What is the highest common factor of o and 517?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(a) = 455*a**2 - 56*a + 56. Let v(l) = -24*l**2 + 3*l - 3. Determine 3*u(j) + 56*v(j).\nAnswer: 21*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let x = 8 + -6. Let c(r) = -3*r**2 + 2*r. Let i = -1 - 0. Let d be c(i). What is the biggest value in d, x, 0.1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(p) = p**3 - p**2 - 7*p - 11. Give z(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from sssassbaaaasas. Give prob of picking 1 s, 2 a, and 1 b.\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let f(o) = 6224*o**3 - 6*o**2 - 140*o. Let j(b) = -889*b**3 + b**2 + 20*b. Let c(n) = -2*f(n) - 15*j(n). Find the third derivative of c(r) wrt r.\nAnswer: 5322","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ryqlpbl. What is prob of sequence rll?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*l + 833 = 3*y + 776, y - 32*l - 140 = 406 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 12*g = 10*g + 6 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -0.271435 and -2.737?\nAnswer: 2.465565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 108049655.\nAnswer: 5, 7, 191, 2309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -5 (b) 10 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 = 5*k - 18. Let p(y) = y - 2. Let o be p(k). Solve 2*n + o = 8 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1822?\nAnswer: 2, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: ((-119)\/28 - -4)\/(-1)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 1535990 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let k = -2.480179 - -2.48. Round k to five dps.\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -67\/21074 and 25\/2.\nAnswer: 21074","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let c(d) be the second derivative of 1\/231*d**7 + 1\/22*d**5 + 0 - 1\/33*d**4 + 3*d + 0*d**3 - 4\/165*d**6 + 0*d**2. Let c(l) = 0. What is l?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4635 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*r - 4 + 24 = 0. Let w(q) = -1 + 2*q + 6*q**3 - 1 + 0*q - 5*q**3 + 4*q**2. Let c be w(-3). Calculate the greatest common factor of c and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*b - 2*b - 17. Solve -3*p + 2 = b for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -20541*a + 41083*a - 20543*a.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let h(r) = 5 - 3 - 3 + 2*r + 4. What is the units digit of h(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 170 divided by -85.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let k = 25 + -12. Let o = k - 8. Suppose 4*c = o*c - 6. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00003137076 rounded to 6 dps?\nAnswer: 0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_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: Collect the terms in 535*a**3 - 1054*a**3 + 520*a**3.\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*k - 1580 = -3*y, -52*y = -48*y + 7*k - 2045. Calculate the highest common divisor of y and 65.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -1181\/387 + -459\/86. Calculate the common denominator of w and 69\/14.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2? (a) -48\/11 (b) -0.2 (c) -292\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Factor -k**4\/5 - 2787*k**3\/5 - 30744*k**2 - 2141104*k\/5.\nAnswer: -k*(k + 28)**2*(k + 2731)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 487813164 a multiple of 2346?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Factor 192*b**3 - 60240*b**2 + 4843251*b - 18421452.\nAnswer: 3*(b - 4)*(8*b - 1239)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let v(y) = y**3 + 9*y**2 - 12*y + 5. Let n be v(-10). Suppose 5*o = -5 + n. Let u(g) = g**3 - 3*g**2 - 3*g + 2. Calculate u(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 8 a factor of 68144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1134434 or -1134531?\nAnswer: -1134531","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 22 and 539?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let z = 470 + -470.1. Which is the smallest value? (a) z (b) 0 (c) 38\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be 5*4\/(2 + 2). What is the second derivative of -2*v + 7*v - v**i + 10*v + 17*v wrt v?\nAnswer: -20*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(x) = -4*x**3 - 164*x**2 - 72*x + 13. What is the hundreds digit of j(-41)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 2 - 2 - 2*r + (4*r - 3*r - 3*r)*(-2 + 1 + 0) - 5*r + 2*r + 4*r - 3*r + 4*r + 0*r - r + r + 2*r + r - r - 2*r + 0 + 0 + 2*r + (7 - 6 + 12)*(2 - 2 + r).\nAnswer: 17*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 2414, 5117, 8136, 11471, 15122?\n\"Answer: 158*x**2 + 2229*x + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (10*y - 2*y + 2*y)*((-3 - 2*y + 3)*(-5 + 3 + 0) - 18*y - 21*y - 20*y) to the form u*y + w*y**2 + d and give w.\nAnswer: -550","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 1 - (9 + -1) - (87 + -4 + -78)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r = 56 + -16. Let l = r + -39.4. Which is the biggest value? (a) -3 (b) l (c) 2\/5 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) = l**3 - 12*l**2 + 10*l + 13. Let h be d(11). Suppose h*y = 6*y + 24. Let k(b) = -10*b - 18. What are the prime factors of k(y)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 e and 1 d when three letters picked without replacement from {d: 16, e: 4}.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let p = 3 - -129. Calculate the highest common factor of 12 and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-8)\/(-6))\/((-3)\/(-9))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -w**5\/3 - 3543*w**4 - 53108*w**3\/3 + 42508*w**2 + 127488*w = 0 for w.\nAnswer: -10624, -6, -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*l = -15, 41 = 2*h - 5*l + 8. Solve -v = -2*o - h*v - 8, -3*o - 4*v - 10 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(891) + 1)*-5*3 - (3 + (sqrt(11) + 1)*4 + sqrt(275) + 1 + sqrt(275))**2.\nAnswer: -2235 - 359*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let s = -429060719 + 429723474.157. Let w = s - 663054. Let i = -299 - w. Round i to 2 dps.\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*((-2 + sqrt(432))*2)**2.\nAnswer: -576*sqrt(3) + 5232","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let s(u) = 2*u + 3. Let n be s(1). Suppose 3 = -n*i + 88. Is 6 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 21000220 - -2011?\nAnswer: 21010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {a: 4, p: 2}. Give prob of picking 1 a and 1 p.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1397? (a) -3 (b) 4 (c) 5 (d) 31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*a - 5*z + 161, 117 = -3*a - 0*z + 5*z. What is the remainder when (a\/(-33))\/(2\/171) is divided by 32?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 10 a factor of 9903?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:57 PM and 5:56 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 12011 + -201011?\nAnswer: -112000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*h = -14 - 1. Suppose -h*q + 4*v = -6*q + 27, -3*v + 45 = 5*q. What is the remainder when q is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 8, 0, 1, 0.107, -1, 1\/3 in descending order.\nAnswer: 8, 1, 1\/3, 0.107, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let y = 54 + 108. Let z = y - 13. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 2.64 - 1.9. Let t = y + -1.24. Let g = 0 - -1. What is the nearest to g in -2, t, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-1470)\/63*(-15)\/35.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: -1 - -33 - (-617 + 639)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-45360)\/(-2640) - -3*(-17)\/3. Let m = -0.1 - -0.1. Sort m, -12, s in decreasing order.\nAnswer: s, m, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (25 + 35*i - 25)*(2 - 1 + 1)*(2 - 2 + 1).\nAnswer: 70*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let v(c) = -4*c - 6. What is the units digit of v(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*y + 1 = -2. Let v be y\/(2 + -1) + 15. Let p = 10 - v. Let a(z) = z - 1. What is a(p)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 36*v - 32*v - 24 = 0. Let x = v - 2. What is the derivative of g**4 - 8*g**x + 6*g**4 - 2 - 5*g**4 wrt g?\nAnswer: -24*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -1 at least as big as 174\/3169?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let o be 8\/(-16)*((-64)\/(-103))\/(-4). Is 1 smaller than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 5 + 0. Suppose 2*j = j + g. Suppose 7 - j = u. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(j) = -5*j**3 + 4*j**2 - 5*j + 8. Let i(n) = n**3 - n**2 + n + 1. Let y(h) = -4*i(h) - s(h). Give y(0).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 26.04 rounded to one dp?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let n = 0.297 + -5.297. Let r(v) = 19*v**2 + 4. Let q be r(2). Which is the second biggest value? (a) n (b) 0.4 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 12\/7 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Put together -0.06 and 4079379029.\nAnswer: 4079379028.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 780 = 75*n + 315*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is next in 377714, 377620, 377462, 377240, 376954, 376604?\nAnswer: 376190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -g**3*s - 9689*g**3 - 2*g**2 + 2*g*s - 2*g + 142831*s wrt s?\nAnswer: -g**3 + 2*g + 142831","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let d be (1 - 4) + 16\/2. Suppose -x + 0*x + d = 0. Suppose -q + x*q - 4 = 0. Let y(h) = h**2 - 1. Let k(v) = 2*v**3 - 6*v**2 - v + 6. Determine q*k(m) + 6*y(m).\nAnswer: 2*m**3 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let k = -79 + 78.9. Sort -3\/7, k, 2 in increasing order.\nAnswer: -3\/7, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(f) = -f**3 + f + 2. Let i be t(-2). Solve 3*y - i*y = 25 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (3920\/(-224))\/((-60)\/48).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 16226816 is divided by 338058.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve -1296*x**3 - 9710784*x**2 + 1078988*x - 29972 = 0 for x.\nAnswer: -7493, 1\/18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 5049 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify n**19\/n**(-5\/11)*n**(1\/5)*n*n*n**(-2\/3)\/n*n*n*n assuming n is positive.\nAnswer: n**(3793\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*q - 1 = 2*l - 7, -2*q = l - 11. Calculate the lowest common multiple of q and 18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) = 21*r**3 - 5*r**2 - 3. Let d be l(5). Suppose -734 = -55*h + 256. Suppose -h*j + d = -7*j. List the prime factors of j.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 217215877?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -11551.03168 and 1182?\nAnswer: 12733.03168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3263244 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -415, -481, -603, -781, -1015, -1305?\n\"Answer: -28*z**2 + 18*z - 405","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let y(l) = -13*l - 12. Suppose 3*p - 8*p = 25. List the prime factors of y(p).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 690079263?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let k(w) = -2*w - 11. Let i(n) = -n - 5. Let a(b) = -7*i(b) + 3*k(b). Suppose 4*h + 13 = 5. Let g be a(h). Put g, -4\/3, 1 in ascending order.\nAnswer: -4\/3, g, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 26469 and 102.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 27207392 to the power of 1\/3, to the nearest integer?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 56 and 154?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let o = 286 - 284. Let y(r) = -3*r**2 + 11*r - 25. Let g be y(o). Which is bigger: -20 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, -167, -3.\nAnswer: -167, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let d(q) = 13*q - 71. Suppose -2*x + 3*m + 4 = 13, m - 7 = 0. What is d(x)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 38225*p - 38185*p = 5360360. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(s) = -67*s**3 - 5*s**2 - 5*s - 4. Let m be o(-3). Suppose m = -4*d + 9*d. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many centuries are there in 0.0078272 decades?\nAnswer: 0.00078272","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y(z) = 3*z**2 - 2*z - 2. Suppose 0*r = 3*h + 2*r - 6, h + 5*r - 2 = 0. Let f be y(h). Let w(u) = -1 + 2*u - 5*u + 4*u - f. Give w(8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-3)\/(15\/10))\/(6\/9)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 13*o + 11*o - 4200 = 0. Is 4 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 = -2*z + s, 12 = 2*z - 2*s + 5*s. Suppose 4*p - 3 - 9 = z. Suppose 0 = -p*k + 9, 0*k + 17 = 2*h + 3*k. Solve -x = h*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -11 - 12748?\nAnswer: -12759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 643 minutes before 5:13 PM?\nAnswer: 6:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let s = 123 - -9. Does 6 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*f**5 + 26*f**4\/3 + 1072*f**3\/9 - 48*f**2 - 928*f\/9 + 160\/3 = 0. Calculate f.\nAnswer: -6, -1, 2\/3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 1351502 to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Does 5 divide 7565365?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let l = 1.93 - -0.07. Let y = l + 3. Suppose x - 9 = -8*x. Which is the nearest to x? (a) -2\/5 (b) y (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-44)\/(-1749))\/((1*(-2)\/5)\/((-980)\/4900))?\nAnswer: 2\/159","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 0*g**4 - 2*g**4 - 2*g**3 + 75*g + 7*g**4 + 2*g**2 - 78*g to y*g**2 + l*g**4 + b*g**3 + q + a*g and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1118? (a) -3\/10 (b) 0.2 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Expand (145*f - 66*f + 39*f + 125*f)*(-4 + 4 + 1).\nAnswer: 243*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 p and 1 y when two letters picked without replacement from ggggpggpgggpghfgyggg.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*o**2 + 15846*o - 15843.\nAnswer: -3*(o - 5281)*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand -537 - 51*h**5 + 120 + 50*h**5 + (0*h**5 + 0*h**5 + 2*h**5)*(-2 + 0 + 0).\nAnswer: -5*h**5 - 417","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -592550*j**3 - 592582*j**3 + 1185128*j**3.\nAnswer: -4*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 7.257932 years in millennia?\nAnswer: 0.007257932","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y = 26 - 19. Suppose x - y = 1. What is the lowest common multiple of 22 and x?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 192935416 to the power of 1\/2, to the nearest integer?\nAnswer: 13890","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 2249624?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 53762893?\nAnswer: 6653, 8081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 23894 or 1321?\nAnswer: 1321","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 70737, 70742, 70749, 70758, 70769, 70782, 70797?\nAnswer: 70814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: -5355032 (base 8) to base 13\nAnswer: -3b1aba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 158*p + 3515 = 163*p. Suppose -39 = -2*j - 4*c + 253, c - p = -5*j. What is j rounded to the nearest 10?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be 201\/12 - -6 - 6\/8. Suppose x*n = 17*n - g + 140, -84 = -3*n - 5*g. Calculate the least common multiple of 12 and n.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -13 (b) -15\/2 (c) -2 (d) -0.1 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of (1 - -2)*2 + 728\/(-119) and -43\/646?\nAnswer: 646","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -a - 4 = -3. Suppose -2*c = 4, -3*q - 3 + 0 = -3*c. Put a, q, 1 in decreasing order.\nAnswer: 1, a, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 93\/1451504 and 59\/666?\nAnswer: 483350832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -59*k*r**5 + k*r + 285*r**2 wrt r.\nAnswer: -3540*k*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*l = 6*l + 18. Let h(q) be the third derivative of 1\/420*q**l + 2*q**2 + 0*q**5 + 0 - 1\/84*q**4 + 0*q + 0*q**3. Factor h(m).\nAnswer: 2*m*(m - 1)*(m + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(931) - (2*sqrt(931) + -1)**2) + -3 + 1*sqrt(931) - ((1*sqrt(931) - sqrt(931))*5 + 0)**2.\nAnswer: -3728 + 42*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let v = -0.392 - -0.31. Let a = 0.081959 + v. What is a rounded to 5 dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-6)\/(-6)*(6\/3)\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 993.\nAnswer: 3, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -11844 plus -0.8?\nAnswer: -11844.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 1211640 divided by 15?\nAnswer: 80776","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 33*-2*((-1284)\/2889)\/((-4)\/6).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-3 + 3 - -4) + -12. Let b(n) = -n**4 + n**3 - n. Let r(j) = -12*j**4 + 12*j**3 - 8*j. Let u(w) = l*b(w) + r(w). Determine c so that u(c) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5*(sqrt(720) + 0) + sqrt(720) + sqrt(720) - (5 + (1*sqrt(720))**2 - sqrt(720)).\nAnswer: -725 + 96*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*z - 4*p + p + 87 = 0, 5*z - 5*p - 280 = 0. Let l = -31 + z. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -23655, -47250, -70845, -94440, -118035, -141630?\n\"Answer: -23595*h - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 15196656 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(486)*-1)\/sqrt(2).\nAnswer: -9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 36 and 8766?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: 96\/44*(-3124)\/(-568)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p(z) = -13*z**2 - 13*z - 5. Let g(f) = -7*f**2 - 7*f - 3. Let b(i) = -11*g(i) + 6*p(i). Give b(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -7, 2, 11, 20, 29?\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -167 = -6*r + 373. Which is smaller: 88 or r?\nAnswer: 88","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 10620, 43468, 98554, 175878, 275440, 397240?\n\"Answer: 11119*i**2 - 509*i + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 29004*k**2 - 54442*k**2 + 3 + 27322*k**2 - 3.\nAnswer: 1884*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*g - 3 = -12 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 184079, 368128, 552177, 736226, 920275?\nAnswer: 1104324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*h**4 - 20*h**3 + 252*h**2 + 980*h - 2744 = 0.\nAnswer: -7, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v**2*v)**(-34)*v*v\/(v\/(v\/(v*v\/v**(3\/2))))*v**(1\/2) assuming v is positive.\nAnswer: v**(-100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let m = -57809\/4 + 14457. Let 2*a**2 - m*a + 1\/4*a**3 + 5\/2 = 0. What is a?\nAnswer: -10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 627315.1 rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-1 + 1*sqrt(1539) - sqrt(1539)) + 1 - (sqrt(1539) + 1 + sqrt(1539) + 4 - ((sqrt(1539)*-1 - sqrt(1539)) + -2)))**2*2.\nAnswer: 1008*sqrt(19) + 49346","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (2*o - 19*o + 2*o)*(2*o**2 - 1 + 1 + 1) to the form c*o**3 + y*o + b + t*o**2 and give y.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 357094, 1428250, 3213502, 5712844, 8926270, 12853774, 17495350, 22850992?\n\"Answer: -z**3 + 357054*z**2 + z + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence euup when four letters picked without replacement from {u: 3, p: 1, e: 4}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2183 is divided by 45?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Does 79 divide 1060?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((a\/a**(-1\/4))\/a**27)**(-12) assuming a is positive.\nAnswer: a**309","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*u - 115 = -4*i - i, 0 = 2*u - 4*i + 54. Let g = u + 18. What is the biggest value in 4, g, -1\/3, -6?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*f - 3 - 2. Let k = 296 - 312. Let u be 9 + k + 4\/1. Which is the third biggest value? (a) u (b) 2 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many litres are there in 2.643105ml?\nAnswer: 0.002643105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z = -49.84 + 33. Let t = 0.16 - z. Let n = 16.9999993 - t. What is n rounded to six decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 715*a**3*k*q + 342*a**3*k - 14*a**3*q + 2*a**2 + 2168*a*k - 9*a*q wrt q.\nAnswer: 715*a**3*k - 14*a**3 - 9*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -9596, -38405, -86420, -153641, -240068?\nAnswer: -345701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let m(f) = -f**3 - 7*f**2 - 5*f + 5. Let h be m(-6). Let w be 0 + 8 + (-2 - -2). Let u = w + h. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor k**3 - 139*k**2 + 410*k - 272.\nAnswer: (k - 136)*(k - 2)*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) be the third derivative of 1\/12*q**4 - 1\/120*q**6 - 1\/6*q**3 + 1\/30*q**5 + 0 - 28*q**2 + 0*q. Calculate f(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 19739 is divided by 87?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let s(r) be the first derivative of -r**3\/3 + 5*r**2\/2 - 6*r - 3. Give s(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*a - 13 + 103 = 0. Let f = 25 - a. Solve -4*x - f = -27 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 179302.1800014 - 179302. Let u = 0.18 - t. What is u rounded to 6 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.1? (a) -3\/7 (b) 41 (c) 23\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 189 (b) 2 (c) -3 (d) -1\/61 (e) 2\/773\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let j = -91 + 95. Suppose -j = 9*y - 11*y. Suppose 2\/7*f**y - 20\/7*f + 50\/7 = 0. What is f?\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 6 and 822.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let b = 15076 - 9153. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11 = m - 2*p, -3*m = 2*p + 1 + 8. Let t be (-10)\/6*4\/m. Let r = 2.3 + -0.3. Which is the nearest to r? (a) -2 (b) t (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*b + 1056 - 1056 = 0. Let v be (5 + b)\/(5 + -4). Solve -j + 5*z = -v*j, 3*j + 5 = -5*z for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(x) = 2*x - 5. Let k be y(5). Suppose -3*h - 2*m - 2*m = -13, 0 = -3*h + k*m + 4. Solve 3*n = -r - 2*n + 16, 3*n = h*r + 24 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 7557650?\nAnswer: 2, 5, 151153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-4 + sqrt(637) + -1 + 5 + (-6*(sqrt(637) - ((sqrt(637) - 2*sqrt(637)) + sqrt(637))) - sqrt(637)))**2 + -5)*3 + 4.\nAnswer: 68785","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3354 - 40*h**2 + 3354.\nAnswer: -40*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let a(w) = -w**3 - 5*w**2 + 3. Let k be a(-5). Let x = 5 - 3. Let b = k - x. Calculate the highest common factor of 3 and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -147 - -150. Let i = -42 + 72. What is the least common multiple of 165\/i*(k + -1) and 5?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(z) = -z - 1. Let f be g(3). Let h = -2\/514125 - -171377\/514125. Which is the nearest to -2\/7? (a) -3 (b) h (c) f (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(m) = -m**3 + 28*m**2 + 175*m - 4207. What is u(29)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: 810 divided by 162\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let c(d) be the third derivative of -d**5\/60 - d**4\/24 - 2*d**3\/3 + 2*d**2. Let y be c(0). Is -62*((-10)\/y)\/(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(j) = -21*j**3 - 3*j**2 + 2*j + 31. Let s(d) = 42*d**3 + 7*d**2 - 5*d - 61. Let g(t) = 5*k(t) + 2*s(t). Find the first derivative of g(c) wrt c.\nAnswer: -63*c**2 - 2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(m) = m. Let i(h) = -h**2. Let p(b) = 2*b**2. Let x(r) = -5*i(r) - 6*p(r). What is q(x(g))?\nAnswer: -7*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let d(a) be the third derivative of 0 + 0*a + 2*a**2 + 1\/30*a**6 - 1\/6*a**3 + 0*a**4 + 0*a**5. What is the first derivative of d(i) wrt i?\nAnswer: 12*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Do -1\/8 and -0.02377017 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((b*b**(2\/5)\/b*b)\/b**(4\/5))\/(b**(2\/9))**(-2\/61) assuming b is positive.\nAnswer: b**(1667\/2745)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 918183, 918171, 918159, 918147?\n\"Answer: -12*p + 918195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 634 minutes after 10:52 AM?\nAnswer: 9:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*p - y = 23, 50 = 5*p - 5*y - 5. Suppose 3*v - 5*h - 580 = -p*h, -5*h + 596 = 3*v. Is 16 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-12*h + 4*h + 3*h)*(-16*h**3 - 26*h**3 - 21*h**3) as x + a*h**4 + o*h**2 + f*h**3 + b*h and give a.\nAnswer: 315","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 40\/(-8)*(-3)\/3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 1210 a factor of 249158360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let t(w) = 2*w**2 - 263*w + 7983. What is t(88)?\nAnswer: 327","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 193314408.\nAnswer: 2, 3, 7, 89, 1847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Factor q**2\/4 - 369*q - 7405\/4.\nAnswer: (q - 1481)*(q + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let t = 554 + -555. Let r = 2.2 - 2. Which is the closest to 0? (a) -2\/5 (b) t (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(d) = d**3 + 4*d**2 - 9*d - 6. Let q(z) = z**3 - 5*z**2 - 2*z + 8. Let r be q(6). Let b = 26 - r. Let l be h(b). What is l rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 11 - (-7 - 1 - (-22 + 12))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*h**3 - 8508*h**2 - 4528380*h - 4519876.\nAnswer: -4*(h + 1)*(h + 1063)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate -5 + -7 + (-4 - -15) - (19 + -24).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {t: 1, l: 2, k: 1, v: 1, z: 1, e: 1}. Give prob of sequence lvl.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let r(t) be the second derivative of t**7\/14 + 3*t**6\/10 + 9*t**5\/20 + t**4\/4 - 2*t. Factor r(f).\nAnswer: 3*f**2*(f + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l*l**(2\/5)*l)**(1\/2) assuming l is positive.\nAnswer: l**(6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((l\/(l\/(l*l*l*l**(-8)*l)))\/((l\/l**(2\/31))\/l*l))**(-4\/3) assuming l is positive.\nAnswer: l**(204\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let l(j) = j**2 + 16*j - 33. Suppose -3*n + 3*v - 39 = 0, -4*n + n + 4*v = 34. Let w be l(n). Suppose -w*d + 297 = -411. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(7) - (3 + (sqrt(7) - (sqrt(112) - sqrt(7)))))**2 + -2)*3.\nAnswer: -54*sqrt(7) + 210","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1835, -1862, -1889, -1916, -1943, -1970?\nAnswer: -1997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -126*t + 68*t = -40*t - 252 for t.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 30\/((-6120)\/600 + 9)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*c + 463 - 1765 = 2*w, 3*c + w - 1293 = 0. Calculate the highest common divisor of 54 and c.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(y) = 55*y + 1333. Give p(-24).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 248999 and 1552.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let z = -0.198 - 5.802. Let s = 0.45 - 0.5. Let b = 0.05 - s. Which is smaller: b or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(k) = k**3 - k**2 - 5*k + 6. Let m be n(4). Let f be m - (0 + -1 + 0). What is the highest common divisor of f and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*r = 3*r - 306. Let t(x) = x + 2. Calculate the remainder when r is divided by t(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.373 * -0.03\nAnswer: -0.01119","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 8673 a multiple of 147?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let b(y) = y + 8. Let v be b(-5). Let i be (1\/v)\/((-5)\/(-90)). Let q(d) = -3*d + i*d - 5*d. Let n(w) = 2*w**2. Determine n(q(j)).\nAnswer: 8*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Convert -85 (base 12) to base 16.\nAnswer: -65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 543 minutes before 9:19 PM?\nAnswer: 12:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand 8*l**2 - 12*l**2 - 4*l**2 + (-1 + 0 - 1)*(-l - l + 3*l)*(l - 2*l - l).\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 211 minutes after 12:58 PM?\nAnswer: 4:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 3180 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Factor 6099*r**4\/7 + 24387*r**3\/7 - 36*r**2\/7.\nAnswer: 3*r**2*(r + 4)*(2033*r - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 538 is divided by -1 - (3 - -159*2\/(-6))?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -12622 smaller than 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -3 - -5 - (-35)\/(-20).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence uy when two letters picked without replacement from yuyyymm.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let k(i) = -i**2 - 6*i - 6. Let h be k(-4). Let n(c) be the first derivative of -1\/5*c**h - 2 + 2\/5*c - 2\/15*c**3 + 1\/10*c**4. Find j such that n(j) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(r) = 54*r**2 + 1058*r - 415. Give v(-20).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -196*t*u + 15652*t + 6455322*u wrt t.\nAnswer: -196*u + 15652","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let q = 42152.8 + -42149.800016. Let w = 3 - q. Round w to 5 decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 22203, 22026, 21561, 20664, 19191, 16998, 13941, 9876?\nAnswer: 4659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 243 minutes after 2:42 AM?\nAnswer: 6:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: -6 - ((-2 - (4 - 5)) + 1)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l = -0.05 - -0.01. Let q = 2.04 + l. Let t = q - 0. What is the nearest to -0.1 in 0.4, 1\/3, t?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 64664340 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} {"text":"Question: Let 8*r**5 + 8*r**5 - 12*r**3 + 14*r**2 - 12*r**5 - 6*r**2 = 0. What is r?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -110 (base 2) to base 4.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(832) + (sqrt(832)*1 - sqrt(832))**2 + 5.\nAnswer: 5 + 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in -1\/7, -7, 0, -2\/7, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand 4*j**5 - 4*j**5 + 2*j**5 + ((j - 3 + 3)*(-2*j**2 + 2*j**2 + 2*j**2) + j**3 - 4*j + 4*j)*(-4*j**2 - 3*j**2 + 0*j**2).\nAnswer: -19*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 9527 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let x be 0\/(-2 + 1 + -1). Suppose 6 = -x*j + j. Let k = j + -2. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 19\/(1045\/(-4)) - (-7)\/(140\/16).\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 2585747 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let t = 111 - 127. Let z be 4*12\/t + 2 + -2. Sort 0, -5, z.\nAnswer: -5, z, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2038030 times 0.2?\nAnswer: 407606","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let m(h) = 7*h. Let p be ((-8)\/12)\/(8\/12 - 0). Give m(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be (2\/5)\/(15\/75). Let q(c) = 5*c**2 - 2*c - 1. What is q(w)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 13*w - 6903 = -6942 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1 or -3\/70?\nAnswer: -3\/70","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0000557238 to five decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate -8505 divided by -7.\nAnswer: 1215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ddssdssdddsssd. What is prob of sequence sddd?\nAnswer: 35\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let c(s) be the third derivative of -2*s**7\/105 - 4*s**3\/3 + 2*s**2. Find the first derivative of c(x) wrt x.\nAnswer: -16*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-4)\/14 - 90\/(-21).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 1499216624 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1039008 is divided by 21627.\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 3691934381 to the power of 1\/2, to the nearest integer?\nAnswer: 60761","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -11*s - 507*s - 15624 = -14*s for s.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let o(b) = 1. Let w be 5\/(-2)*(-6)\/15. Let r(u) = -53*u**2 + 55*u**2 + 6 - 3. Determine w*r(y) - 3*o(y).\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 769*v - 81*v + 837*v - 210*v.\nAnswer: 1315*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 90 and 280?\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let b(k) = 2*k + 32. Let f be b(-17). Let p be (f\/((-16)\/6))\/((-10)\/(-80)). Is -20*p\/(-4) + 3 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -73 - -63. What are the prime factors of (-15)\/25 + (1 - 1306\/x)?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -1*(-20)\/(-16)*(576\/40)\/(-24)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 34 and 4103630.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 125163959 to the power of 1\/2, to the nearest integer?\nAnswer: 11188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let j be -2*1 - (67 - 74). Suppose 4*v + 6*f = 3*f + 745, -567 = -3*v - j*f. What is the remainder when v is divided by 178?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (0 + i + 0)*(-38 + 38 - 22*i) as v*i + f + j*i**2 and give j.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -9\/40 and 19\/80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in eleven halves of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g = 14 - 9. Let w = 10 - g. What is the nearest to -0.06 in -2, w, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((24\/54)\/(2\/(-12)))\/((-2)\/(-6)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-540)\/(-990)*121\/2?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q(n) = -25*n. Let j = 46 + -47. Let u be q(j). Calculate the greatest common divisor of 275 and u.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 25274631 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-1)\/(-2)*(1 + 3). Let u(m) = -m**2 - 10*m + 32. Let q be u(-12). Let i be q\/84 + 4\/(-42). Solve i = f - n + 7 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 11633 = 60*d + 11153 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3 + -61.59.\nAnswer: -58.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let m(x) = 6*x**2 - 3*x - 1. Let g(f) = 6*f**2 - 4*f - 1. Let y(j) = -3*g(j) + 4*m(j). Let i be (1 - 3)\/((-3)\/(-3)). Is y(i) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -94654, -94427, -94206, -93991, -93782?\n\"Answer: -3*g**2 + 236*g - 94887","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let o = 163 - 33. Does 20 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Add -3 and -3456.184242625.\nAnswer: -3459.184242625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -2, -37\/9, 2, 0.3?\nAnswer: -37\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let m = 2.2 - 1.7. Let z = -9\/26 - 2\/13. Let n be 2\/(-3) + (-17)\/(-3). Put z, m, n in descending order.\nAnswer: n, m, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 51 + -2 + 3 + -30.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*h = 2*z - 10, -5*z - 2 - 2 = 2*h. Let r(l) = 4*l + 2*l**2 - l**2 + z - 6. Let v be r(-7). What is the greatest common factor of 165 and v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -201*v + 206*v. Solve v = 5*s - 6 + 26 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 8439564.\nAnswer: 2, 3, 7, 31, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let n = -62 + 66.96. Let c = 4.96000241 - n. What is c rounded to seven decimal places?\nAnswer: 0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -51604, -411297, -1387612, -3288859, -6423348, -11099389, -17625292?\n\"Answer: -51385*m**3 - m**2 + 5*m - 223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let c(r) = r**3 + 10*r**2 + r + 5. Let t be c(-7). Let s = -77 + t. List the prime factors of s.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -902 + 902 - 71*p**3 - 3*p**3 + 3*p**3 - 2*p**3 + (-2*p**2 - p**2 + p**2)*(-4 + 4 - 9*p) as z*p**3 + d*p + b*p**2 + m and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let u = 125 + -129. Let d be (1 - (-2 + 1)) + 1. Which is the smallest value? (a) 4 (b) u (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(i) = -5*i**2 + 23*i - 7. Let o be u(4). Which is the third smallest value? (a) 0.5 (b) 4 (c) -9 (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -29 + 3?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of (-684)\/(-20)*(-925)\/(-15).\nAnswer: 3, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1, 138, 369, 692, 1107?\nAnswer: 1614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of (-57)\/(119258\/7454 - 16)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -33 + 35. Suppose u*l = -47 + 17. Is (-887)\/(-3) + (10\/l - 0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-54)\/(-3))\/(18\/(-30)*(-2640)\/(-72))?\nAnswer: -9\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t be 10\/4*12\/15. Suppose 2*a = -t*a, v - a = 20. Is 8 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(f) be the third derivative of -f**4\/3 + 33*f**3\/2 + 3*f**2 + 26*f. Calculate the remainder when 254 is divided by c(6).\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 29*d - 18*d - 17*d - 33*d.\nAnswer: -39*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Convert -143a862 (base 12) to base 4.\nAnswer: -33133231022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {i: 1, b: 1, n: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*l + 1 = h, 3 = 3*l - 5*l + 3*h. Suppose l = -10*d + 484 + 73706. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -6818, -6814, -6800, -6776?\n\"Answer: 5*o**2 - 11*o - 6812","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence flqc when four letters picked without replacement from cffqmcmllmlcn.\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -8887, -35613, -80159, -142525, -222711, -320717?\n\"Answer: -8910*k**2 + 4*k + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -4 less than 4.04345?\nAnswer: 8.04345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand (-64 + 64 - 195*g)*(-g + 1 - 1)*(-4 + 8 - 3)*(4*g**2 - 5*g**2 + 2*g**2) - 3*g**4 - 2*g + 2*g.\nAnswer: 192*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 38, 145, 406, 887, 1654, 2773?\nAnswer: 4310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -9907 - 51*d + 51*d + 9907 + 3*d**2.\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let q(a) = -9*a**3 - 422*a**2 + 44*a - 145. Calculate q(-47).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let t(u) = 2*u**2 + 31*u - 96. Calculate the remainder when t(-23) is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 120595 + 231963 = 11975*j - 294092 for j.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Does 12 divide 235475?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-5)\/10)\/(-1*2\/8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 219023, 875966, 1970871, 3503738?\n\"Answer: 218981*z**2 + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let s = -10 - -5. Let n = -11 + 15. Put 2, n, s in decreasing order.\nAnswer: n, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 13618487195 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let d(i) = 9*i**3 - 4*i**2 + 3. Let k(l) be the second derivative of l**5\/2 - l**4\/4 + l**2 - 18*l - 3. What is -2*d(s) + 3*k(s)?\nAnswer: 12*s**3 - s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let w(m) = m**2 + 11*m + 18. What is the units digit of w(-12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -122828*x**3 - 25*x**2 - 5*x + 4.\nAnswer: -736968","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*i - 4 = -2*r, -4 - 2 = i - 3*r. Solve -6 = -3*t + 3*w, i*t - t + 6 = w for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 1 (b) -3 (c) 0.07 (d) -2\/19 (e) 25\/2 (f) -2\/5 (g) 9\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2*y + 57*y**3 - 17*y**3 - 16*y**3 - 28*y**3 + 6*y**2 to r + m*y**2 + p*y**3 + z*y and give m.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let k = 156.9539 + -157. Let c = 0.4461 + k. Suppose -3*b - 5 = -d, b - 8 = 4*b + 2*d. What is the nearest to -1 in b, 3\/2, c?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(m) = -m**2 - 6*m + 5. Suppose -5*o - 30 + 0 = -2*f, -2*o - 24 = -2*f. Let b be f\/(-4)*(2 + 0). List the prime factors of z(b).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -2*k + w - 5, 5*k - 259*w = -254*w for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*i**4\/7 - 12627003*i**3\/7 - 13286786003991*i**2\/7 - 39860269622997*i\/7 - 26573496246006\/7 = 0. Calculate i.\nAnswer: -2104499, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-26*a**3 + 22*a**3 + a**2 + a**2)*(a + 3 - 3) to i*a**2 + l + z*a + s*a**3 + n*a**4 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is -542 (base 11) in base 16?\nAnswer: -28b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Are 14 and 55\/4 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -11\/18 and 191\/12810?\nAnswer: 38430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is -52 (base 15) in base 5?\nAnswer: -302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -48, -72, -96, -120?\n\"Answer: -24*g - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 831228 a multiple of 613?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -33 + 69 - 33 + 13*h.\nAnswer: 13*h + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -232 + 332?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 87 + -83 + (0 + -1 - 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m(u) = 8*u - 16. What are the prime factors of m(20)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*u - 4*u - 1662 + 1627 = 0. Let s(g) = -3*g**3 + 5*g + 4. Let i(p) = -8*p**3 + 10 - 5*p**2 + p + 5*p**2 + 11*p. Determine u*i(o) + 12*s(o).\nAnswer: 4*o**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(49)*1)\/sqrt(7) - (sqrt(63) + sqrt(63) + 0) - (sqrt(875)*-2)\/sqrt(5))**2.\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Total of 575 and 1154449061.\nAnswer: 1154449636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Put -3, -212, 4, -269 in increasing order.\nAnswer: -269, -212, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 35*p - 151 - 24 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let k(z) = -z**2 - 52*z - 320. Give k(-6).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -30*l - 32*l = 11*l - 49*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-25)\/(-90))\/(370\/(-222)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 1120 + 2223030102?\nAnswer: 2223031222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 1 or -22\/1931?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*a + 655 = 2359. Is 10 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(m) = m**3 + 3*m**2 + 21*m + 97. Let u be k(-4). Let w(i) = 10*i + 1. Let l(b) = 10*b + 1. Calculate u*w(n) + 4*l(n).\nAnswer: 10*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((k\/(k*k**4*k)*k)**(-2\/9)*(k**5*k)\/(k**(-4\/15)\/k))**23 assuming k is positive.\nAnswer: k**(8441\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 4963222?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 5664867235?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Round -107150143500 to the nearest 1000000.\nAnswer: -107150000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 26 and 853814?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: 781648 divided by -97706\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let g = -0.3749 - 115.5251. Let v = -116.275 + 0.275. Let f = g - v. What is the closest to -4 in f, -4, -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(m) be the third derivative of 2*m**7\/105 - 7*m**6\/30 + m**5\/3 + 7*m**4\/6 - 4*m**3 + 508*m**2. Suppose z(y) = 0. What is y?\nAnswer: -1, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3662559 is divided by 8212.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is (-11)\/88 + (-8)\/(320\/(-75205)) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0*z**2 - 645777292*z**3 + 645777265*z**3 + 0*z**2.\nAnswer: -27*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let x = -1 - -4. Let z = 6 - x. Sort -5, 2\/5, z in descending order.\nAnswer: z, 2\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/25 of a millimeter in micrometers?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*p**2\/8 - 4923*p\/4 + 1037571\/8.\nAnswer: 3*(p - 3173)*(p - 109)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (267\/1246)\/(22\/8 + -2)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 345, 422, 499?\n\"Answer: 77*q + 268","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*j = -g + 3*g, 0 = 2*g + j + 4. Put 4, g, 5 in descending order.\nAnswer: 5, 4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(q) = -214*q**2. Let u(k) be the first derivative of 0*k - 1\/2*k**2 - 95. Calculate r(u(l)).\nAnswer: -214*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {m: 5, l: 2, e: 2, g: 3, d: 3}. Give prob of picking 1 m, 1 g, 1 d, and 1 l.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let k(v) = v**3 + 15*v**2 + 15*v + 14. Let p be k(-14). Let c = p + 3. What is the smallest common multiple of 8 and c?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 40 + -16. Calculate the remainder when 94 is divided by t.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -1302*r + 71126 + 94677 = 32892 - 3799 for r.\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, 397, 12, 216 in descending order.\nAnswer: 397, 216, 12, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((x**(-2\/3))**(-34\/3))**(-41) assuming x is positive.\nAnswer: x**(-2788\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let i = 1157.07 + -1164. Let d = -7.4 - i. Let k = d - -9.97. What is k rounded to zero decimal places?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(n) = -n**3 + 973*n**2 + 20876*n + 36. Give d(-21).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 1262583950 to the nearest integer?\nAnswer: 1081","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let c(u) be the third derivative of 0*u**4 + 0*u**3 + 0*u**6 + 1\/75*u**5 - 2\/525*u**7 + 0 + 0*u + 13*u**2. Let c(b) = 0. Calculate b.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(h) be the first derivative of -h**7\/210 - h**5\/40 - h**4\/24 - 10*h**3\/3 - 2*h - 45. Let n(q) be the third derivative of s(q). Calculate n(-2).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*w - 6 + 8 = 0. Let s(p) be the first derivative of 1\/2*p**2 - 2\/3*p**3 + 0*p - w. Find the second derivative of s(l) wrt l.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2223*f = 2173*f - 1629 + 129 for f.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Convert 100101 (base 2) to base 15.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 5.76 in 1\/6, 3, -6?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 2430240419 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let g be ((-9)\/6)\/(2\/(-12)). Suppose -3*s + 4*s = g. What is the least common multiple of 3 and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 30\/675*-255*-6?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 3285846 to the power of 1\/5, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 839867 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 113625.86293 take away 658?\nAnswer: 112967.86293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1*(((sqrt(2880) - 2*sqrt(2880)*1)**2 - sqrt(2880)) + 4).\nAnswer: -24*sqrt(5) + 2884","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate 130165523 + -0.1.\nAnswer: 130165522.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-3)\/(-6)*(-3 - 1). Let j = s - 9. Let b = j - -15. Sort -2, 1, b in ascending order.\nAnswer: -2, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, -6, 0 in increasing order.\nAnswer: -6, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: (1\/(-17))\/(2184\/(-556920))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -1\/36840, -27, 4\/23?\nAnswer: -1\/36840","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (0 - -23) + (-95 - -83)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 886441958?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 4 + d66?\nAnswer: d6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Does 49 divide 6235528?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let i(q) = q**2 + 13*q + 18. Suppose -3*z - 5*h + 40 = 17, 2*h - 40 = -4*z. Calculate the smallest common multiple of i(-12) and z.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-68)\/8 - 50\/20. Let h be 1\/1 - (28659990 - a). What is h rounded to the nearest one million?\nAnswer: -29000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 3*a*b*l + 2*a*l**2 - 2*a*l*q + 2*a*q + 2*a - 205*b*l**2 + 2*b*q - 26*l**2*q wrt q.\nAnswer: -2*a*l + 2*a + 2*b - 26*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate -46 + 23 - -37 - 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*j**5 - 4404*j**4 + 1205577*j**3\/2 + 1823257*j**2\/2 + 342516*j + 38088 = 0. Calculate j.\nAnswer: -1, -1\/4, 276","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 0 + 2044300640?\nAnswer: 2044300640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 348780301 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let l(u) be the third derivative of u**6\/120 - u**5\/6 + u**4\/3 + u**3 + 4*u**2. Let o be l(9). Does 10 divide ((-2)\/o)\/(5\/75)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, 5, -15 in increasing order.\nAnswer: -15, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2 - 4*m**2 - 12*m**2 + 19*m**2.\nAnswer: 3*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let v = 111 - 72. What are the prime factors of v?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -27 - -12. Let v = t + 10. Let f = -5.7 - -6. What is the third biggest value in -4, v, f?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(u) = 10*u - 326. Let o(r) = 6*r - 217. What is 8*o(z) - 5*p(z)?\nAnswer: -2*z - 106","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -343*a**2 + 178*a**2 + 177*a**2.\nAnswer: 12*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 4 - -871460?\nAnswer: 871464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -8*s + 3*s - 2*m - 285, 3*m - 114 = 2*s. Let o = s - -61. What is the remainder when 9 is divided by o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -149\/97926 and 68\/48963?\nAnswer: 97926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*3*sqrt(637).\nAnswer: -42*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let b(y) = -15*y. Let k(x) = 41*x. Give k(b(g)).\nAnswer: -615*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is -0.1 - 37784630357?\nAnswer: -37784630357.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Express (-47*o**2 + 5*o - 2*o**3 + 15209 - 15209)*(-4*o - o + 3*o - 6) as i*o**2 + h*o + y + v*o**3 + x*o**4 and give h.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Put -1\/13, 4, 1\/6, -2\/9, 1\/2 in ascending order.\nAnswer: -2\/9, -1\/13, 1\/6, 1\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let h be 2\/(4\/(-30)*-3). Suppose b + 0*t + 178 = -4*t, 198 = -b + t. Let q = 191 + b. What is the second biggest value in 2, h, q, -1\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 15504124?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 0.1, -54895\/9, 2?\nAnswer: -54895\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 20\/2*267\/1335?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence pq when two letters picked without replacement from {q: 2, p: 4, w: 3, k: 1}?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 346701?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-3*17\/9 - -4)*3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3015523.\nAnswer: 7, 430789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -222500 rounded to the nearest ten thousand?\nAnswer: -220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let k(a) = 8*a**2 + 19*a. What are the prime factors of k(-11)?\nAnswer: 3, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*x**5 - 605*x**4 + 137940*x**3 - 6921200*x**2 + 107757760*x.\nAnswer: -5*x*(x - 44)**3*(x + 253)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -68, -173, -260, -335, -404, -473, -548, -635?\n\"Answer: -d**3 + 15*d**2 - 143*d + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b**0)**39\/(b**(-2\/21)*b*b**(-2\/5)\/b*b) assuming b is positive.\nAnswer: b**(-53\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 248946781 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*s - 130 = 2*s - 5*i, -2*s + 46 = -4*i. Suppose -11 - s = 4*f. Let t(h) = -18*h - 2. Is 40 a factor of t(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify m**(-1\/3)*m**(1\/21)*((m\/m**(-9))\/m)\/m**(-21) assuming m is positive.\nAnswer: m**(208\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let l(k) be the first derivative of 114*k**5\/5 - 55*k**4\/2 - 118*k**3\/3 + 55*k**2 + 4*k - 1314. Let l(n) = 0. Calculate n.\nAnswer: -1, -2\/57, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:28 PM and 3:28 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2 + -2*-5*2*(1*(-3*sqrt(8) + 4))**2*3.\nAnswer: -2880*sqrt(2) + 5278","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let q(a) be the second derivative of a - 2\/3*a**3 - 1\/6*a**4 + 0*a**2 + 0. Find the second derivative of q(n) wrt n.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -21*d**2*i**2 + d*i**3 + 2*i**3 - 14*i**2 wrt d?\nAnswer: -42*d*i**2 + i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -y - 4*y = 3*y - 0*y. Factor 3\/7*h**3 + y - 3\/7*h**2 + 0*h.\nAnswer: 3*h**2*(h - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 23004, 20382, 17760, 15138, 12516, 9894?\n\"Answer: -2622*k + 25626","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Factor -6*b**2 - 36*b + 0*b**2 + 10*b**2 - 88.\nAnswer: 4*(b - 11)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -16, 11, 76, 197, 392, 679, 1076?\n\"Answer: 3*n**3 + n**2 + 3*n - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let g = 325\/33 - 29\/3. Factor -g*h**3 + 6\/11*h**2 + 2\/11 - 6\/11*h.\nAnswer: -2*(h - 1)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(g) be the first derivative of 3*g**7\/1960 - g**6\/840 - g**3\/3 - 19*g**2\/2 - 227. Let m(k) be the third derivative of n(k). Factor m(w).\nAnswer: 3*w**2*(3*w - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 12*12\/(-54)*2*3?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -0.09, 5, -2, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from {l: 5, m: 4, c: 1, e: 1}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 64\/(-12) - -6 - 193\/(-48) and (-203)\/133 - ((-5)\/(-4) - 2).\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 286 (base 9) to base 13.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 5931 + 845 = -484*l for l.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3 divided by 14.\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 456\/342*(-6)\/20*2?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r = -53429\/130 - -5196\/13. Let m = -321 + 637\/2. What is the common denominator of m and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:16 PM and 2:56 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12*b = 9*b - o + 168, -4*b + 3*o + 237 = 0. What is the lowest common multiple of 6 and b?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 95.59196nm in centimeters?\nAnswer: 0.000009559196","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -97658805*z**2 - 88305193*z?\nAnswer: -195317610","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let k(g) be the third derivative of 0 + 0*g**3 - 1\/12*g**4 + 0*g + 3*g**2. Let v(n) = -1 + 1 - n. Give k(v(c)).\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let q = -3595 - -3611. Calculate the remainder when 509 is divided by q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be 2\/(0 - (-2)\/(-3)). Let u = o - -1. Let b(f) = -48*f - 10. Let j(a) = -14*a - 3. Let h(g) = 2*b(g) - 7*j(g). Calculate h(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be ((-7)\/6)\/((-1)\/6). Find the first derivative of -3 - v*z + 4 + 7 + 4 wrt z.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -579 take away -1476.1?\nAnswer: 897.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let d = 140 + -63. Let f = d + -9. Calculate the highest common divisor of 17 and f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -172*-0.3.\nAnswer: 51.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -51*f**2 - 60*f**6 - 18*f**2 + f**6 wrt f.\nAnswer: -7080*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 7182126.\nAnswer: 2, 3, 7, 17, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1002 is divided by 301?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 31350 + 77256?\nAnswer: 130626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.8293 and -15.42?\nAnswer: 12.787806","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let g(l) = l**3 - 18*l**2 + 10*l + 17. Let k be (1\/(-2))\/((3\/(-3))\/10). Suppose -d + k + 13 = 0. List the prime factors of g(d).\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(x) = x**2 + x + 1. Let a(n) = 18*n**2 - 9*n - 6. Suppose 15 = 5*m - 5. Let d(p) = m*u(p) + a(p). What is the units digit of d(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.3+-1405754\nAnswer: -1405754.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 - o - 3)*(-42*o**2 - 264*o + 535*o - 270*o).\nAnswer: 42*o**3 - o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Put 11, -1, -0.13 in descending order.\nAnswer: 11, -0.13, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:25 PM and 2:37 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let i(w) be the first derivative of -20*w**2 + 31*w - 466. Suppose 4*b + 53 = -3. Is i(b) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 1 (b) -1.15 (c) -7 (d) -3\/26 (e) 1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-6)\/27*((-75)\/(-20) - 3). Put u, 1\/2, 15143 in descending order.\nAnswer: 15143, 1\/2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be 12\/1 - 0\/1. Suppose n + 0 = 4*a. Solve 0 = l - 2*p + a, -2*l - p + 6*p - 10 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:48 PM and 7:39 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3*6\/(-189) - (-18)\/42.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -16\/363 and 35\/1749.\nAnswer: 19239","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (0 + sqrt(175) + (sqrt(175) + -1)*-6 + (sqrt(175) + -1)*-2 + sqrt(175))**2*6*5.\nAnswer: -14400*sqrt(7) + 190920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let j = 145 - -150. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, 4796, -4, -2, 4 in increasing order.\nAnswer: -5, -4, -2, 4, 4796","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*b + 4*h - 12 = 0, 4*b - 4*h + 3*h + 3 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let a = 9 - 17. Let t = 12 + a. Solve 0 = t*p - 0*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: 1 * -0.129\nAnswer: -0.129","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let v be 0*(-7 - (-10 + 2)). Solve v = -3*m - 17 + 5 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence nntt when four letters picked without replacement from tnntntnn?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*z - 0*z - 52. What is the remainder when (1\/1)\/(-1)*z is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1809952.\nAnswer: 2, 163, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 182966665?\nAnswer: 5, 7, 17, 37, 8311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let b(m) = -11*m**3 - 2*m**2 + 34*m + 84. Is 42 a factor of b(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 2441031210 - -20?\nAnswer: 2441031230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate 5 divided by 1069.\nAnswer: 5\/1069","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 70879 (base 10) in base 16?\nAnswer: 114df","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o(r) = r**3 - 2*r**2 - r + 4. Let x = 33 - 31. Let z be o(x). Solve -z*l - 2 = -l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) = u**2 - 8*u + 9. Let t be r(7). Suppose -t*s + 1 - 9 = 0. Let y = s + 3. Put y, 5, 4 in descending order.\nAnswer: 5, 4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -5, 0.1, 4\/5, -0.4, 17?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*f + 2 = s, -4*f + 4*s + 0*s - 24 = 0. Suppose 5*w = 343 - 48. Let u = w + f. What is u rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 32577490 times 0.12?\nAnswer: 3909298.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 37952 is divided by 365?\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 130487?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let x(w) = -w**3 - 1. Let i(b) = 5*b - 4 + 0 - b**3 + 0*b. Let v(t) = i(t) - 4*x(t). What is the second derivative of v(d) wrt d?\nAnswer: 18*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -66551.378 to the nearest 100.\nAnswer: -66600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 4478, 17909, 40286, 71609?\n\"Answer: 4473*m**2 + 12*m - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.03 and 1580?\nAnswer: -47.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let k(d) be the second derivative of 0 + 1\/4*d**4 - 4*d + 0*d**2 + 0*d**3. Let r(i) be the second derivative of 2*i**3\/3 + 79*i. Determine k(r(c)).\nAnswer: 48*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let o(w) = -12*w - 34. Let k be o(-4). Let y(m) = -m**3 + 13*m**2 + 12*m + 12. Determine y(k).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 55\/56 and 85\/92.\nAnswer: 1288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: 121000102200 (base 3) to base 2\nAnswer: 1001100111101101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 2 + -27 - (-1246 + 1201)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the sixth biggest value? (a) 1\/36 (b) 2\/7 (c) 1 (d) -4 (e) -13 (f) 2\/15\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let p(d) = -2*d**2 - 18*d - 7. Let n(s) = -s**3 + 13*s**2 + 16*s - 36. Let l be n(14). What is p(l)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: -41192 * 145\nAnswer: -5972840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 86109 to the nearest integer?\nAnswer: 293","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let h(p) = -p**2 + p + 10. Let q(z) = z**3 + 6*z**2 + z + 8. Let w be q(-6). Suppose g + w*g = 0. What are the prime factors of h(g)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -19*x**5 + 7*x**4 + 333*x**3 - 150999*x**2 + 3 wrt x.\nAnswer: -1140*x**2 + 168*x + 1998","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let -5*u**3 + 5250*u**2 - 561865*u + 14983980 = 0. Calculate u.\nAnswer: 44, 73, 933","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let c = -49 - -53. Let d(q) = c*q**2 + 11*q**2 - 17*q**2. Let m(f) = -9*f**2. Determine m(d(b)).\nAnswer: -36*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let u(k) = 2*k**2 - 7*k - 97. Let x(w) = 3*w**2 - 10*w - 100. Determine 4*u(v) - 3*x(v).\nAnswer: -v**2 + 2*v - 88","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let j be 6\/(-27)*57 + 2. Let i = -92\/9 - j. Which is the third biggest value? (a) -2 (b) i (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Add 206.04 and 156283.\nAnswer: 156489.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 2239473, 2239470, 2239459, 2239434, 2239389?\n\"Answer: -m**3 + 2*m**2 - 2*m + 2239474","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 0, -3\/16, 27?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 607 minutes before 11:50 AM?\nAnswer: 1:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*h**2\/5 - 1284*h\/5 - 55623184\/5.\nAnswer: 4*(h - 3893)*(h + 3572)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1511, -3024, -4537, -6050, -7563, -9076?\nAnswer: -10589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 295 and 177?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 1 and -2 - (0 - 11 - 2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1668022?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from wwwwwwnwwnn. Give prob of picking 2 n and 2 w.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let j(l) = -88*l**3 + 55*l - 55. Let r(o) = -o**3 + o - 1. Determine -j(p) + 55*r(p).\nAnswer: 33*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence lx when two letters picked without replacement from {x: 5, l: 8}?\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -348*(-7)\/21 - (-10 - (-16 + -3)).\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.242987285 rounded to 0 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Sum 1235.0179 and 10.02.\nAnswer: 1245.0379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 69*h - 84592 - 52752 = -3099*h + 144608 for h.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let g be -1 + (1 - 2 - -2). Let y(z) = -z**2 + 7*z - 8. Let o(i) = -1. Let w(h) = 6*o(h) - y(h). Let u be w(6). Sort -1, g, u.\nAnswer: u, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve d = 5*l - 22, 5*l - 10 = -2*d + 7*d for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Express -1755*c - 3 + 3 - 13495*c**2 + 13506*c**2 in the form f*c**2 + r*c + x and give r.\nAnswer: -1755","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence whkk when four letters picked without replacement from {c: 1, k: 5, w: 1, h: 4, j: 1}?\nAnswer: 2\/297","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, 49, -4, -3, -173, -2.\nAnswer: -173, -5, -4, -3, -2, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-1)\/1 - (5 + -13 + 4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose z - 2 = 1. Suppose -z*u = u. Is u\/2 - -49 - 2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -53\/2214690 and 83\/3543504.\nAnswer: 17717520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -120*h + 218*h - 96*h - 612 to l*h + n and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let x(u) = -5*u - 22. Let d = 3 + -11. Is 3 a factor of x(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(a) = 3*a - 42. Let b be t(15). Suppose u + 195 = f - b*u, -5*u = -25. What are the prime factors of f?\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.380222943 rounded to 3 decimal places?\nAnswer: 0.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is -0.000000728829 rounded to 7 dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 36815 or 36799?\nAnswer: 36799","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: -7*((-8)\/32)\/(1\/(-4))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*y - 5*b + 5, -2 = 2*y - 4*b + 2. Let s(g) = -4 - g - 2 + 5. Determine s(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-18960)\/(-224))\/(-79)*-28?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*k + s + 41 + 16 = 0, 4*k = 3*s + 50. Solve 4*v = k*v - 28 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (1864\/(-5))\/(14\/1260*-2)?\nAnswer: 2, 3, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2*3\/6*35\/7.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*r - 310*v + 314*v = -72, -120 = -5*r + 2*v - 45 for r.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is next in 277854, 277856, 277858, 277860?\nAnswer: 277862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let t(l) = 6*l**2 - 13*l**2 + 9*l**2. Let r(w) = 7*w. Calculate t(r(n)).\nAnswer: 98*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*x + 93 = -4*p - 77, -3*p = -71*x + 115*x - 1496 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate 5 divided by -110.\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -13*b = -13 - 13 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-1)\/(12\/((-216)\/39)).\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g(k) = k**2 + 4*k + 6. Let w be g(-2). Let u = -86\/9 + 575\/63. Which is the closest to 0.1? (a) -5 (b) u (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -140 - -4?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*u = 5*a - a + 156, 5*u - 155 = -5*a. Does 7 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 80627351577 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Sort 7507.5, 2\/47, 1, 7, 5 in decreasing order.\nAnswer: 7507.5, 7, 5, 1, 2\/47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1\/25? (a) -1 (b) -4\/9 (c) 2\/3 (d) -0.161 (e) 4 (f) -0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 23582?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand (10*p + 13*p + 12*p)*(-54 + 3 + 20).\nAnswer: -1085*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let d(w) = -w**2 - 24*w + 41. Give d(-26).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from iioiiiiiiiiiiiiiiii. What is prob of sequence io?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 30 and 150.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.2845944 millennia to decades.\nAnswer: 28.45944","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m(r) = 16*r - 10. Let n(f) = 6*f - 5. Let t(k) = m(k) - 3*n(k). Give t(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 179430389 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let n(g) be the second derivative of -17*g**2 - 35\/6*g**3 - 54*g + 0. What is the derivative of n(r) wrt r?\nAnswer: -35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 q and 1 w when two letters picked without replacement from {x: 1, w: 2, u: 1, c: 1, q: 1, t: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Multiply -2341 and 13186.\nAnswer: -30868426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {i: 2, u: 1, x: 2, h: 1, c: 1, v: 1}. What is prob of sequence hxx?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let q(u) = -u**2 - u + 1. Let o(c) = -3*c**3 - 24*c**2 + 3*c - 3. Determine o(z) + 3*q(z).\nAnswer: -3*z**3 - 27*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -89 or -100?\nAnswer: -100","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let m(p) = 16*p. Let l(q) = -3*q. Let c be 0 - (3 + -11)\/4. What is c*m(b) + 11*l(b)?\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -i + 4 = 3*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let p(q) = 2*q**3 + 3*q**2 - 60*q - 10. Let x be p(-6). Solve -l + 5 + 3 = 2*i, 4*l + 5*i = x for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 99 is divided by 50.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let r(s) = -4*s**3 - 2*s**2 - 2*s - 3. Let j(z) = 4*z**3 + z**2 + 3*z + 4. Suppose -3*k = -3*i - 6, 4*k + 22 = -2*i + 6. Determine i*r(t) - 3*j(t).\nAnswer: 4*t**3 + 5*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let b = 0.33 - 0.03. Let z = 3.3 + b. Let l = -0.3 - z. Round l to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:41 AM and 4:43 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let f = 232535893\/296 - 785592. Let a = -4\/37 + f. Let w = 1\/2632 - 24677\/5264. Calculate the common denominator of a and w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(r) = -95*r**3 - 197*r**2 - 4147*r - 8. Let d(q) = 107*q**3 + 198*q**2 + 4149*q + 9. Let w(l) = 8*d(l) + 9*n(l). Find the second derivative of w(o) wrt o.\nAnswer: 6*o - 378","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1\/2 in 1.1, 7, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let m(x) be the second derivative of -7*x**4\/2 - 12*x + 61. Let q(v) = -48*v. What is q(m(u))?\nAnswer: 2016*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let u(l) be the third derivative of 0*l**3 + 0*l + 0*l**4 + 1\/2016*l**8 + 22*l**2 + 0 + 0*l**5 + 0*l**6 + 0*l**7. Solve u(r) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.2? (a) 1\/4 (b) 1424 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let f(j) = 15*j - 6*j - 17*j - 1 - 2. Let d be (0 - 1)\/(1\/5). What are the prime factors of f(d)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 261532?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -2123*t - 62588 - 10552 = -533*t for t.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand (13 - 35*a + 32*a + 5)*(-a**3 - 1 + 1).\nAnswer: 3*a**4 - 18*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 90078894 and 27864?\nAnswer: 774","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let a = 3 - 2.5. Let t(d) = d**3 + 8*d**2 + 24*d + 142. Let v be t(-7). What is the biggest value in a, -4\/3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 46 - 45. What is the biggest value in -3, 0, r, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is three eighths of a centimeter in micrometers?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Express -23*w**3 - 2*w + 37*w**3 - 15*w**3 - w**2 - 1 as b + i*w + p*w**2 + g*w**3 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let y be 27\/(-6)*6\/9. What is the common denominator of (-21)\/y*(-3)\/6 and -65\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 35 divide 11396021?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let m = 20 + -20. Suppose -b - 3 = -2*b. Suppose m = b*z - 2*z - 49. 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 the cube root of 342 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand 78*r**5 - 12*r**5 - 53*r**5 + 113*r**5 + (3 - 3 - 2*r**2)*(r**3 - 3*r**3 + 0*r**3) + 0*r**5 + 6*r**5 - 4*r**5.\nAnswer: 132*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -118*u**2 - 115*u**2 - 8 + u**3 + 233*u**2.\nAnswer: u**3 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-4)\/(-2)*(-1)\/66)\/(64\/192).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -130*i = -129*i - 4*g - 10, 0 = i + 4*g + 22. Let c(j) = 6*j + 26. Give c(i).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: 15*-20135\nAnswer: -302025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, -9, -3, 13, 3 in increasing order.\nAnswer: -9, -3, -2, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 456 and 12.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.1? (a) -1\/6 (b) 0.6 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let t be 24\/(-18)*(-468)\/(-104). Sort 16, -2, t, -1.\nAnswer: t, -2, -1, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 508 minutes before 12:28 PM?\nAnswer: 4:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let j be 3 + 1 + -1 - 1. Let z be 0 - (3 + j\/(-2)). What are the prime factors of 17 + 2\/(z + 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 575.15 - 575. Which is the closest to -1\/2? (a) -11\/4 (b) m (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 3.6 + -4. Let v = -0.12 + i. Round v to one dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -23 - (150 + -116 + -87)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let g(a) be the first derivative of 2*a**5\/35 - 2*a**4\/7 - 8*a**3\/7 - 614. Determine x, given that g(x) = 0.\nAnswer: -2, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: 4 divided by 1651\nAnswer: 4\/1651","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 186472 and 336921?\nAnswer: 2119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence mqm when three letters picked without replacement from qmqmmqqqqqqqmqqqmqm.\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let p = -45 - -47. Let h(c) = c - 3. Let s be h(6). Suppose p*q - 98 = -4*n, -s*n + q + 78 = 4*q. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -1192.02 to the nearest ten.\nAnswer: -1190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6406*x + 3572426 = 6416*x + 385116. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 5 - 2. Let l = 0.002 - 34.802. Let k = l - -34.5. Which is the smallest value? (a) k (b) 2 (c) -1\/6 (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(h) = h**3 + 5*h**2 + 2*h - 2. Determine z(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7863*m**5\/2 - 1053639*m**4\/2 + 40171665*m**3\/2 - 326613693*m**2\/2 + 377754840*m + 144150 = 0. What is m?\nAnswer: -1\/2621, 5, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 26*u - 20*u - 47 + 11 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: 6\/(-5)*80\/(-48)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence uh when two letters picked without replacement from dhuvmvn?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Factor 0 - 1\/5*o**3 - 12\/5*o - 13\/5*o**2.\nAnswer: -o*(o + 1)*(o + 12)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} {"text":"Question: Suppose -2952 = -3*y + 5*q, 13*q = 8*y + 17*q - 7768. Calculate the remainder when y is divided by 162.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -0.04, 1\/4, -67?\nAnswer: -67","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Convert 58 (base 11) to base 5.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t(x) = 3*x - 2. Let l(k) be the first derivative of -k**2\/2 + k - 6. Let b(y) = 5*l(y) + 2*t(y). Let h(c) = -6 - 4 + 6. Give -4*b(u) - h(u).\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let j(r) = 34*r + 40. What is j(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/40 of a decade in months?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Does 9 divide 3843?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Round -853.73105 to zero dps.\nAnswer: -854","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 164535 and 10185?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is -38886\/83 at most as big as -469?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 288, 95, 3, -5, 1\/9, 0.8?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let a = -1 - 2. Let r = 19 - 18.1. Let h = r + -1. Put a, h, 0.3 in increasing order.\nAnswer: a, h, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 95968 * 8.\nAnswer: 767744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 89 - 18 - (0 + -12 + 10 + 2).\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 2129627 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let k = -0.03 + 1.03. Put k, 1\/5, 3\/5 in descending order.\nAnswer: k, 3\/5, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*k - 36 = k. Suppose -v - k = 28. Let w = 61 + v. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} {"text":"Question: Solve 3*m**4\/4 + 1035*m**3\/4 + 17766*m**2 - 821748*m = 0 for m.\nAnswer: -188, 0, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*m + 2110 = x, 536 = -0*m + m - 4*x. Calculate the lowest common multiple of 12 and m.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1 + (-1 - -3) - (9 + -11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -371*p - 1637 = 1266*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -5610*n + 454 - 107044 = 0 for n.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let l(x) = -6*x**2 + 20*x - 12. Give l(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*t - 2*k = -21, 4*k + 13 + 10 = 3*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 4547 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 44*l**4 + 3*l**6 - l**6 + 1512*l**2 - 1535*l**2 wrt l?\nAnswer: 240*l**3 + 1056*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(v) = 370*v - 15163. Determine l(41).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify 0 + (2*sqrt(4032))\/(sqrt(9) + (-6*-1*sqrt(9) - sqrt(9))).\nAnswer: 8*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let s = -9273 - -14067. Is s a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*w + 6 - 11 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let s(o) = -o + 1. Let r be s(3). Let u = 4 + r. Let h(d) = -2*d**2 + 15*d - 3. Calculate the lowest common multiple of u and h(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*d = -3*b - 114327, 177487 = 2*d - b + 63162. Does 42 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*i + 1140 = 3*a, 8*a - 6*a = 2*i - 1120. List the prime factors of i.\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.1 in 1319, -13, -1\/7, 0.2, 2, -0.7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Does 24 divide 163674864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let h = -175.6 - -176. What is the closest to -2\/7 in 0, h, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2? (a) -0.4 (b) 2\/5 (c) -0.5 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let z(v) be the third derivative of 0 - v**3 - 1\/4*v**4 + 0*v + 12*v**2. Differentiate z(a) with respect to a.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 210a + -4?\nAnswer: 2106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in 0.2, -0.06, -32?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1760921 or -1760917?\nAnswer: -1760921","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let f be (1\/2)\/(1\/54). Let c = -9 + f. Suppose -u + 4*u - c = 0. What is the greatest common factor of u and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(r) = -22*r**2 + 84*r + 9. What is v(5)?\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is -1072387248 divided by -24?\nAnswer: 44682802","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 50509 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.076? (a) -564 (b) -2\/15 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -1110803*s**3*x**2 - s**3*x + 2*s**2*x**2 + 7121*s**2*x + 24 wrt x?\nAnswer: -2221606*s**3 + 4*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 249*s**4 + 661*s + 1 wrt s.\nAnswer: 2988*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose x + 30 = -4*f - x, 2*x - 33 = 5*f. Let l be ((-90)\/21)\/(1\/f). Suppose 365 = 5*v + l. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 1058 and 322?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate (6744\/192 + -35)*(10\/2 - (-70)\/42).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 43 + -40. Let z(o) be the first derivative of 0*o**2 + 0*o - 1\/3*o**s - 1. Let k(v) = -v**2. What is k(z(d))?\nAnswer: -d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -75 = 15*u - 15 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate -84 divided by -68.\nAnswer: 21\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 16 - (8 - -6) - 6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l = -605 + 666. Calculate the remainder when 546 is divided by l.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(v) = v**2 - 6*v - 4. Let r be q(7). Let w(b) be the first derivative of -2\/7*b**2 + 3 + 2\/21*b**r + 0*b. Determine n, given that w(n) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 530352 (base 6) in base 11?\nAnswer: 2a268","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m\/((m*m**(-2))\/m)*m)\/(m*m**(5\/3)*m)*(m*m**(1\/3))**(-34)*(m\/m**(2\/5))**4*(m**(-1))**(-40) assuming m is positive.\nAnswer: m**(-13\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 14374 is divided by 689.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let i(k) = 2*k**2 - 5*k + 2. Let r be i(3). Find the third derivative of -5*d**5 + r*d**2 - 4*d**5 - 4*d**5 wrt d.\nAnswer: -780*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -4 and 4383436.\nAnswer: -17533744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 3 - 21521602760?\nAnswer: -21521602757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let h be -9*10\/(-495)*22. Solve 3*x + h = -4*f, 0*x - 2*x = f + 1 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 8754975497 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1 + 3*3*sqrt(17) - ((0 + sqrt(17))**2 + -5 + -4*(sqrt(34)\/sqrt(2))**2).\nAnswer: 9*sqrt(17) + 57","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let t(w) = -105*w. Let g(o) = 9*o. Determine g(t(u)).\nAnswer: -945*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve b = 11*o - 71 - 6, -3*b + 19 = -5*b + 2*o + 5 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2 - 0 - (3 + (6 - 5))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 324573889 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let t = -0.316 + 0.816. Let y = 0.01 + 1.99. Let a = -2.3 + y. What is the second smallest value in a, t, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {i: 3, d: 8, t: 6}. Give prob of sequence dit.\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 1 - -4302287?\nAnswer: 4302288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Factor 2\/7*f**3 - 26\/7*f - 24\/7 + 0*f**2.\nAnswer: 2*(f - 4)*(f + 1)*(f + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = u + 4, 5 = -4*s + u + 1 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -501404, -501467, -501572, -501719, -501908?\n\"Answer: -21*t**2 - 501383","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, 0.1, -0.84.\nAnswer: -0.84, 0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of ((-570)\/(-76))\/(477\/60) and 10\/9.\nAnswer: 477","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 98, 7, 2\/17 in decreasing order.\nAnswer: 98, 7, 2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Does 2 divide (-1)\/1 + 0 + 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -275 + 160 - a + 115.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let r(o) = -o**3 - 4*o**2 - 10*o + 8. Let s be r(-5). Let t = 89 - s. Let q be t\/(-21) - -2*(-45)\/(-70). Which is bigger: q or -1\/63?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -1 - -1. Is j at least -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 589921357 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 29172531, 29172532, 29172533, 29172534, 29172535, 29172536?\n\"Answer: i + 29172530","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -o = -0*o - 2. Let x(b) = -4 + o*b**2 + 4 + 0. Calculate x(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*b + 4*y + 7, 0*b + 2*y = -3*b - 3. Let k be 2 + 10332\/24*(-8)\/6. Let d = -28026\/49 - k. Are b and d equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -70 + 0 = 14*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 16\/(-12)*45\/(-840)*2?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -4670179*l**3 - 3076*l**2 + 189*l wrt l?\nAnswer: -28021074","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let q(z) be the first derivative of -6*z**2 - 30*z - 11. Let t be q(-6). Suppose -3*s + t = 4*x, 5*s + 2*x - 5*x - 41 = 0. What are the prime factors of s?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 367 minutes after 6:26 PM?\nAnswer: 12:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 42494, 36682, 30870, 25058, 19246, 13434?\n\"Answer: -5812*f + 48306","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -21222001201 (base 3) in base 11?\nAnswer: -a7879","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 81829686 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -4181 - -1?\nAnswer: -4180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is (-5)\/(-25) - 18\/(-45)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 16 > -71?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let l = -352 - -367. Suppose 10384 = -l*j + 26*j. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: (5\/(5830\/33))\/(147\/(-196))\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 5*u + 12*u - 170 for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 71879 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-1 - -2 - 0)*22. Let v be (-20)\/(-6)*(-192)\/(-20). Let y = v - h. Solve -2*j + 0 = y for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(x) be the first derivative of -5*x**3\/3 - 2*x - 15. Let u(j) = -j**2 + j - 1. Determine o(p) - 2*u(p).\nAnswer: -3*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let u(b) = 4*b**2 + 3 - 5*b - 3 - 3 + 0. Let r be u(11). Suppose -4*o + r = -2*o. Is 28 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z**3\/3 - 116861*z**2\/3 + 3414181760*z\/3 - 3414064900\/3 = 0. What is z?\nAnswer: 1, 58430","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: 4\/(-3)*(-36)\/(-12)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 307.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let p = -26767 - -642539\/24. Find the common denominator of 61\/28 and p.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(b) = -2*b**2. Let g(m) be the second derivative of -4*m**5\/15 - 2*m**3\/3 + 6*m. Let r(d) be the second derivative of g(d). What is w(r(h))?\nAnswer: -2048*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate 12\/15 - 1850\/125.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4*i**3 - i**3 - 565 - 613 - 4*i**3.\nAnswer: -i**3 - 1178","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 872*f*z**4 - 13317*f + 7*z**4 wrt z?\nAnswer: 3488*f*z**3 + 28*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -8, -59, -166, -335, -572, -883?\nAnswer: -1274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let x(j) = -j**2. Let b(i) = 1126172*i. Determine x(b(p)).\nAnswer: -1268263373584*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Multiply -8 and 1080758.\nAnswer: -8646064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 312 + 263243?\nAnswer: 263555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c**(1\/6)*c**(7\/10))\/(c**(-19\/4)\/c*(c\/(c\/c**(-18)*c)*c)\/c) assuming c is positive.\nAnswer: c**(1537\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 1323219 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14*a = 52*a - 152. Suppose 51*u + 18 = 56*u + 4*g, -2*u - a*g + 12 = 0. Solve 0 = u*p - s + 3, 4*p + s + 21 = -0*s for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -4*y**5 - y**5 - y**5 + (-2*y**5 - 2*y**5 + 5*y**5)*(0 - 2 + 5).\nAnswer: -3*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let q = -268 + 268. Sort 3, -1, -21, q.\nAnswer: -21, -1, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {z: 12, n: 1, t: 2, l: 2, v: 2}. What is prob of sequence ztn?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of ((-2)\/22)\/(1050\/2345) and 17\/363?\nAnswer: 3630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is one fifth of a millennium in months?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*j - 13 - 3 = 0. Let q = j - -2. What is the third biggest value in q, -1\/5, -0.3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-1)\/(2\/2)*((-90)\/(-645))\/(-6)?\nAnswer: 1\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 104344?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let u = -18 + 17.99966. What is u rounded to 4 decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: -230498 divided by -2\nAnswer: 115249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let i(h) = -h**3 - 5*h**2 - 9. Let x be i(-4). Let v = x + 107. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -12121 (base 3) in base 11?\nAnswer: -128","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose s + 76 = 76. Let g(p) be the second derivative of 2\/3*p**3 - 1\/6*p**4 - p + s + 0*p**2. What is v in g(v) = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -289.87 - -289.47. Which is the closest to 207? (a) -0.1 (b) t (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be 80\/25*(-75)\/(-12). List the prime factors of 34*730\/r - 1.\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {j: 4, o: 8, f: 2, c: 5}. Give prob of sequence oc.\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*r**3\/3 - 1592835*r**2 + 47785505*r\/3 - 14335665 = 0.\nAnswer: -955711, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 117 <= 124?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let k = -575 - -570.17. What is k rounded to zero decimal places?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2 + -4 + 166 + 28 + -44?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {y: 1, e: 4, r: 2, z: 1, s: 3, l: 1}. What is prob of sequence rr?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 82543243 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:46 AM and 1:00 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, 13, -3, 212 in decreasing order.\nAnswer: 212, 13, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let o(w) = w**3 - 6*w**2 + 3*w + 12. Let t be o(6). Calculate the highest common factor of t and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.08 in 2, 2\/11, 2\/17, -2\/1275, -59, -4?\nAnswer: -2\/1275","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + ((sqrt(6)*-2)\/sqrt(3))**2*-2 - (sqrt(450) + (sqrt(32)*2)**2).\nAnswer: -147 - 15*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*r + 144 = 16*r. Let l be ((7 + -1)\/r)\/5. Let g = -2.5 - -3. Which is the smallest value? (a) l (b) 0.3 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 7814678, 15629351, 23444022, 31258691, 39073358, 46888023?\n\"Answer: -k**2 + 7814676*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -14293 divided by -3?\nAnswer: 14293\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w\/w**5*w*w**1)**(-3\/8)*(w*w**(-8\/3))\/((w**(-8)*w)\/w)*(w\/(w**1\/w))**(-2\/43) assuming w is positive.\nAnswer: w**(3631\/516)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose r - 129 = -0*r. Suppose -24 + r = -3*x. Is 432\/10 - (-7)\/x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(n) = 265*n**2. Is k(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) = -l**2 - 8*l + 6. Let i be d(-11). Let p be 2 + 4\/(-6)*i. Suppose 0 = 5*a - 5 - p. What are the prime factors of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(k) = k**3 - 3*k**2 - 2*k + 3. Let z be (-31)\/3 + (-2)\/(-6). Let s be (3*-1)\/((-15)\/z). Let w be (-4*1)\/s + 1. Calculate x(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-564)\/(-14)*(-1 - -8). Let z = -1143\/4 + t. Calculate the common denominator of 85\/22 and z.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(j) = -j**2 - j + 1. Let q(d) = -2*d**2 + d + 1. Let r be q(-1). Let f(z) = -z**2 - 2*z + 2. Let v(g) = r*h(g) + f(g). Let p(b) = 11*b. Calculate p(v(t)).\nAnswer: 11*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let w = -235 - -211. Is -55 - -50 - (w - -1) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 149928*i**2 - 18864?\nAnswer: 299856*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11 = -5*h + 4. Let f be (1 + (h - -3))*1. Suppose 2*a + f*p = 2*p + 22, -3*a = -4*p - 56. Is a a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-6*(4*sqrt(1377) - sqrt(1377)))**2.\nAnswer: 446148","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 156 minutes before 9:50 PM?\nAnswer: 7:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -11, -1, 164\/9, 0.4, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15*k - 2581 - 2954 = 0. List the prime factors of k.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 243 minutes after 2:54 AM?\nAnswer: 6:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let r(i) = -3*i + 1. Let j(q) = -2*q**2 - 9*q - 38. Give j(t) - 4*r(t).\nAnswer: -2*t**2 + 3*t - 42","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -14*y - 5*j = -304, -4*y + 462*j = 458*j - 76 for y.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let c = 3280 - 3231. Let w = 483 - -251. What is the remainder when w is divided by c?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -1\/2, -45, -0.3, 0.16, 0.5 in decreasing order.\nAnswer: 0.5, 0.16, -0.3, -1\/2, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 l and 3 s when four letters picked without replacement from {c: 4, s: 4, n: 10, l: 1}?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Multiply 23787 and 35.\nAnswer: 832545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 512877620 a multiple of 565?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 6139 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Express r**3 - r**4 + 23*r**2 - 2 + 0*r**4 + 3*r**4 - 7*r**4 as c*r**2 + q + p*r + n*r**4 + z*r**3 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*z - 2 + 2 + (-5 - z + 5)*(1 - 3 + 0) - 3 - 5*z + 3.\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((s*(s\/s**10)\/s*(s*s**(-2\/9)\/s*s)\/s)**23)**(-3\/10) assuming s is positive.\nAnswer: s**(1909\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {m: 4, q: 7, j: 3}. Give prob of picking 3 j.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Multiply -1 and -5216.7.\nAnswer: 5216.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let f = 9.6 + -12.6. Sort 0.1, f, -0.5, -7.\nAnswer: -7, f, -0.5, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) = 2*r**2 - r. Let x be l(-1). Let t = 1 - -1. Suppose 3*f - 121 = t*w, -92 - 9 = -x*f - 2*w. Calculate the remainder when f is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 190 divide 1306045?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -10, -48, -112, -202, -318?\nAnswer: -460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 20164746.\nAnswer: 2, 3, 7, 480113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let o(q) be the first derivative of -7*q**2 + 105*q + 12629. Let x(r) = 5*r - 35. What is 6*o(k) + 17*x(k)?\nAnswer: k + 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let n = -23891\/18 - -2655\/2. Factor 0 + n*x**4 + 2\/9*x**5 + 0*x**3 + 0*x + 0*x**2.\nAnswer: 2*x**4*(x + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -77 - -237. Is 14 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -308*o**2 - 571*o**2 + 693*o**2.\nAnswer: -186*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: 33223 (base 9) to base 5\nAnswer: 1201203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in y**2 - 3*y**2 - 1144668*y + 1144668*y.\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -40 = 7*q + 5*z, -8*z = 2*q - 11*z + 7 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate 27357*-0.5.\nAnswer: -13678.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let p be -841 + 1 + -4 + 7. What is the common denominator of (p\/(-81))\/((-10)\/(-12)) and 103\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of (-358)\/(-6) + 9\/27.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 57689, 57644, 57503, 57212, 56717?\n\"Answer: -9*k**3 + 6*k**2 + 57692","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 256537 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*y + 23 = w, 0 = -w - 0*y - 2*y - 5. Suppose -w*h - 19 + 25 = 0. Find the third derivative of -4*k**4 + 7*k**4 + 12*k**h + 0*k**4 wrt k.\nAnswer: 72*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 576*k**4 + 11*k - 7 wrt k.\nAnswer: 6912*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Total of -2048932520774 and -0.3.\nAnswer: -2048932520774.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(2744) + sqrt(2744)*1)\/(sqrt(7)*-1*2 - (sqrt(7) - 1*sqrt(7)*2)))**2.\nAnswer: 1568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let n(x) = -2*x - 3. Let d be n(-3). Let j be (-8 + 149 + -9)\/2. What is the greatest common factor of d and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5\/(15\/(-6))*1654\/(-51274)?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p(i) = -i**3 + 12*i**2 + 11*i + 18. Calculate p(13).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: -9*1\/(-12) - 500\/(-80)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify n**(2\/51)\/n**21*(n*n*n**(-1))**(-38) assuming n is positive.\nAnswer: n**(-3007\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -1042670*i + 1042791*i - 2662 for i.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 298677 to the nearest integer?\nAnswer: 547","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 214599?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -130 + (-50 - (101 + -221))?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -53872b2c + -2?\nAnswer: -53872b31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let s(b) = -b**3 + 2*b**2 - 2*b + 3. Let j be s(2). Let p be 3*j\/((-3)\/4). Suppose -5*n = 5*c + 10, 3*c - p*n - 24 = -c. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -15164, -29703, -44242, -58781?\n\"Answer: -14539*v - 625","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} {"text":"Question: Let l be ((-3)\/(-2))\/((-24)\/128). Let f be 1\/(2\/(l\/(-2))). Let a(t) = 3*t**2 - 4*t**2 + 7*t**2 - t**f. Let g(b) = b. Give g(a(s)).\nAnswer: 5*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 4\/11? (a) 2 (b) -11 (c) -1.27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Divide 12636 by 702.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Add together 0.1 and 1961.\nAnswer: 1961.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 34875320?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -1 - -b9cc59?\nAnswer: b9cc58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -10*t**2 - 371*t - 7842?\nAnswer: -20*t - 371","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 12*p*q*v**3 + 12*p*q*v - 2*p*v - 4*p + 3*q*v**5 wrt v.\nAnswer: 72*p*q*v + 60*q*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let p(f) = -14520 + 7*f + 14520. Let t(a) = 31*a. Give t(p(u)).\nAnswer: 217*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {x: 3, a: 2, v: 2, g: 4, e: 2, l: 2}. What is prob of picking 1 e and 1 g?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 - 1 + 2)*((-2 + 3 - 3)*(-y + 4*y - 2*y) + y + y + 6*y).\nAnswer: 12*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 989408633 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1080, 2161, 3242, 4323, 5404?\nAnswer: 6485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:52 AM and 8:11 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -4, 4, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -21\/17044 and 101\/56.\nAnswer: 238616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*n**2\/5 + 5178*n\/5.\nAnswer: -3*n*(n - 1726)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from tmmmktkm. Give prob of sequence ktkt.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Sort -1\/9, -9\/7, 5, 0.5.\nAnswer: -9\/7, -1\/9, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) = 31*m + 16. Give y(4).\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from bpbllbblpplbpbpbpppl. Give prob of picking 3 b and 1 l.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -88*o + 3 = -91*o. Is o < 1\/1048?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 12? (a) 1 (b) 4\/5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let k = 9724006361 + -9724006439.99999923. Let x = k + 79. Round x to 7 decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -127 = -2*h - 2*p - 13, -303 = -5*h + p. What is the highest common divisor of 30 and h?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -29*g + 76 + 69 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let v(z) = -z**2 + 2*z + 223. Give v(16).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*n = -32 - 40. Let t = 12 - n. Let u be ((0 - 3) + t)\/(-1) - -36. Calculate the greatest common factor of u and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 1 - -6. Let n = h + -5. Which is the nearest to 0? (a) 1 (b) n (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence nfn when three letters picked without replacement from {n: 2, f: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Determine x so that x**4\/2 - 681*x**3 - 708729*x**2\/2 - 352319*x + 707364 = 0.\nAnswer: -401, -2, 1, 1764","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 64553 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from wwwwvtwtvvvwvvtwvtvw. Give prob of picking 3 w.\nAnswer: 14\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let y(v) = -18*v**2 - 4*v. Let a(w) = -2*w**2 + w**2 - w + 2*w**2. Give 4*a(m) - y(m).\nAnswer: 22*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 15109.52373us in weeks?\nAnswer: 0.000000024982678125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 37601 + -3?\nAnswer: 37576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-13)\/(78\/(-42)) + 5 + -7. Solve a*c + 12 = -y - 23, 4*y = -20 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*q + 19 = 1. Let i = q + 0. Let w be -2 + 5 - (-16)\/i. Which is the biggest value? (a) w (b) -1 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*n + 300 = -4*a, -12*n + 7*n + 4*a - 300 = 0. Let f be ((-6)\/(-8) - (-105)\/n) + -339999. Round f to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: (-4)\/(36\/3)*12\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: -13342 (base 5) to base 8\nAnswer: -2111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Round -26.57013 to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*x - 10*p = -14*p + 20, 0 = -2*x + 5*p - 16 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*j - 3*a + 2 + 2 = 0, 10 = -5*a. Let c = 84 - 60. Suppose w - c = -j*w. Solve 0 = 5*k + 15, w = 5*d + k + 1 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 418440 by 15.\nAnswer: 27896","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from yptgppf. Give prob of sequence pgpf.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*m**2\/7 + 5454*m\/7 + 5468.\nAnswer: -2*(m - 2734)*(m + 7)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*v + 4*v - 8 = 0. Let l(h) = h**3 + h**2 - 2*h. Let u be l(2). Let d be 20\/(1 + 1) - 2. Solve d = v*o - u for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (2088\/116)\/((-2)\/(-6033))?\nAnswer: 3, 2011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 - 1 + 1 + (-2 - 3 + 3)*(-3 + 5 - 3) - 1 + 2 + 0 - 4 + 2 + 3 + 1 + 1 - 3 + 1 - 2 + 0)*(-2*f + 5*f - f) + f + 5 - 5.\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 383*v + 9020 = 3275 for v.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let n = 11 + 12. Let o = 57 - n. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(y) = 3*y**3 + 5 - y - 2*y**3 + 0*y**2 + 6*y**2 + 0*y**3. Is 3 a factor of o(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3.81*-13.26.\nAnswer: -50.5206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let u = 4351 - 2369. What is the thousands digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(d) be the second derivative of d**3 + 3*d. Determine a(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.2 minus 2.47621?\nAnswer: -2.67621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is (-84)\/56*-5*80\/(-900)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 210868 a multiple of 191?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 917893632?\nAnswer: 2, 3, 31, 37, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Round -2361880 to the nearest one hundred thousand.\nAnswer: -2400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 3*s**6*v + 7*s**5*v - 7*s**3*v + 17*s**2 + v - 6 wrt s.\nAnswer: 360*s**3*v + 420*s**2*v - 42*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -2268197 - -37?\nAnswer: -2268160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let x(l) = -2*l**2 + l - 4. Let r(a) = 2*a**2 - 2*a + 4. What is -3*r(y) - 4*x(y)?\nAnswer: 2*y**2 + 2*y + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand -b**5 + 4*b**5 - b**5 + (-3 - 2*b**3 + 3)*(-b + b - 2*b**2) + 2*b**5 - 2*b**5 + b**5 - b**5 + 4*b**5 - 2*b**5 - 20*b**3 + 20*b**3 + 2*b**5.\nAnswer: 10*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ivhrwpvrrwrrvvhhwh. What is prob of sequence rhwi?\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find a, given that -a**3 - 4*a**2 + 3*a + 18 = 0.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -3, -2\/3, 0.06?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is (-31 - (13 + -35)) + (-2 - 8)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -121*k**3*z**2 + 2079*k**3 + z**2 wrt z?\nAnswer: -242*k**3*z + 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let m = 32.1 + -32. Let p = 36 - 34.17. Let k = p + -2. What is the second smallest value in k, -2\/13, m?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 7 + (-7 - (10 + -21))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 18 and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 63591401 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let l = 409 - 15. List the prime factors of l.\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -9.79 * -8.\nAnswer: 78.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -262*h**3 - 90*h + 2 wrt h.\nAnswer: -1572*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*k = -13317 + 13350 for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 210 and 210.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Product of 241 and 37209.\nAnswer: 8967369","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (4\/(-55))\/((14\/(-5))\/7)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0007476821 to 4 decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.1757*-0.3.\nAnswer: -0.05271","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate -21 - -1 - (57 + 1 + -40).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 1249329.69 microseconds in weeks?\nAnswer: 0.000002065690625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 1495450 and 17776?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let a(s) = -s - 30*s**2 - 25*s**2 - 1 + 56*s**2. Suppose 4*v - 5 = j - 0*j, 5*j = -5*v. Let o(u) = 4*u**2 - 6*u - 13. Let g(z) = v*o(z) - 3*a(z). Factor g(y).\nAnswer: (y - 5)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2084400 rounded to the nearest 10000?\nAnswer: 2080000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let y be ((-3)\/5)\/(1\/(-10)). Let c be (y - 3)*-1 + 50. Let s = 68 - c. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -103, -99, -93, -85, -75, -63?\n\"Answer: j**2 + j - 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3 + 2*t + 3)*(t**2 - 2*t**2 - 3*t**2) + (-2*t + 4*t + 0*t)*(-4*t + 4*t + t**2) - 2*t**3 + 2*t**3 + 2*t**3 + 3*t**2 - 3*t**2 - t**3.\nAnswer: -5*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 76\/(-3) + (-3020)\/1812?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 349 - 1421 + 352 + 369 + 351 - 4*k**2 + 2*k**2.\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let i = 3 - 280. Suppose -l + 5*s - 16 = 0, -l - 2*s + 4 = -3*s. What is the remainder when i\/(-11) + 40\/22 + -2 is divided by l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(d) = d**3 + 14*d**2 - 2. Let s be n(-14). Is s\/(-7) - 3978\/(-42) a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be 0 + -46 - (20 + -21). Let p be b\/10*(-16)\/6. Solve -17 = -2*f - 3*a, 2*f - a + 3*a = p for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-10*w - 28*w - 5*w)*(6 + 16 - 7 + (-1 + 5 - 2)*(-2 + 3 - 2)).\nAnswer: -559*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 5*10\/(-175) - (-5)\/42?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 828083309 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is next in -45001, -45234, -45467, -45700?\nAnswer: -45933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let z(w) = 15*w**4 - 48*w**3 - 11*w. Let q(o) = 8*o**4 - 24*o**3 - 6*o. Let a be 7 - (36\/24)\/(6\/(-16)). Let m(u) = a*q(u) - 6*z(u). Factor m(l).\nAnswer: -2*l**3*(l - 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(171) + -1*sqrt(171))*-4 + sqrt(171))\/(-4*sqrt(324))*2)**2.\nAnswer: 19\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 1 greater than -5679\/59191?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Multiply -57987 and -1.\nAnswer: 57987","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -41, -76, -111, -146, -181?\n\"Answer: -35*p - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -351 (b) -5 (c) 0.5 (d) -52\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2036? (a) 2\/21 (b) 4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is next in 21133, 42312, 63495, 84688, 105897?\nAnswer: 127128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Express -483*w - 45156 + 45156 in the form r*w + d and give r.\nAnswer: -483","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:41 PM and 5:56 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: -3229 * -27\nAnswer: 87183","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -8573 times -0.2?\nAnswer: 1714.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 20915*l - 24743 wrt l?\nAnswer: 20915","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 824 - 507?\nAnswer: 31d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -37\/8 and -103\/12560136.\nAnswer: 12560136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 5*m + 77*m**4 - 288*m**4 + 20*m + 1 - 12*m + 8*m wrt m?\nAnswer: -2532*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, 6, 134, -4.\nAnswer: -4, -2, 6, 134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*i**2\/9 - 675702*i + 6081316\/9.\nAnswer: 2*(i - 3040658)*(i - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Sort -363, -48, -11102 in descending order.\nAnswer: -48, -363, -11102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: (12\/(-42) - (-388)\/(-14))*((-9145)\/(-236) - 40)\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-255)\/(-30) + (12\/(-8))\/(-3). Let r be d - (-4 + (8 - -2)). Factor -5\/3*h**2 - 4\/3*h**r + 0 - 1\/3*h**4 - 2\/3*h.\nAnswer: -h*(h + 1)**2*(h + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 99 is divided by 29.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 116008305 a multiple of 680?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let a(b) = b - 2. Let q(m) be the third derivative of -m**4\/24 + 19*m**3\/6 - 2*m**2 - 22. Let r(k) = 4*k - 1. Let g be r(3). Let j be q(g). What is a(j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine t so that 912\/5*t + 24\/5*t**3 - 144\/5 - 292\/5*t**2 = 0.\nAnswer: 1\/6, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*j = -3*u + 61, -25 = 5*u + 4*j - 134. Suppose -425*a - 1890 = -455*a. What is the greatest common divisor of u and a?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: -28 (base 9) to base 2\nAnswer: -11010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Round -14309.6188 to the nearest one thousand.\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: 11 + (1 - (-12 + 10 + 4)) - -10\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t = -82 - -26. What is the units digit of t\/(-2) + 0 + 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(p) = -p**5 - 7*p**3 + 4*p. Let u(n) = 4*n**3 - 2*n. Let g = 24 + -17. Let o(t) = g*u(t) + 4*d(t). What is the second derivative of o(s) wrt s?\nAnswer: -80*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1364*v = -1230*v - 990930. Is v a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:41 PM and 2:19 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Put -4, -11609, -1016 in descending order.\nAnswer: -4, -1016, -11609","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((x**(-2\/7)*x)\/x)\/(x\/(x*x**(-8)*x))*x**0\/x**4*((x**(-2\/7))**(-44))**(-23) assuming x is positive.\nAnswer: x**(-2103\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 18*b + 22 = 616. Let j(i) = 11*i + 1. Let l = 7 - 6. What is the remainder when b is divided by j(l)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 83490, 166986, 250484, 333984, 417486, 500990, 584496?\nAnswer: 668004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose z + 4*m = 13853, 88*m - 87*m = 2*z - 27733. What is the tens digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -430 and 0.1?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let g = -0.022 - 21.978. Let t = 20 + g. Which is the nearest to t? (a) -3 (b) 1\/8 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1.6 or 889\/86?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 10463679*m**6 + 23575706*m**2 wrt m?\nAnswer: 1255641480*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let v = 24 + -49\/2. Let g = 0.124 - 0.024. Which is the closest to v? (a) -2 (b) 5 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 174*a + 6 = 177*a. Suppose -3*g = a*q - 121, -5*q - 199 = -5*g - 7*q. What is the remainder when 112 is divided by g?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 j when three letters picked without replacement from jyijjyijj?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let a = 19 - -30. Calculate the highest common divisor of 14 and a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*f + 7*f = -2*h - 6, 2*h = -5*f - 8. Let g be -1 + (-1)\/(2\/(-14)). Let r be (-15 + -1)\/(f\/g). What is the highest common divisor of 16 and r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is ((-468)\/(-24))\/(3\/52) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 7133670*p**4 - 4083074 wrt p?\nAnswer: 28534680*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*m - 108 = 3*y, -3*y = -4 + 13. Which is bigger: -34 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 23525 and 57401?\nAnswer: 1435025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 29245851 a multiple of 3141?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 32*f**3 - 32*f**3 - 11 - f**4 wrt f.\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*sqrt(1280))\/(-1*sqrt(640)).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 62, 120, 178?\n\"Answer: 58*u + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2*sqrt(56)\/(2*sqrt(4)))\/((sqrt(216)\/sqrt(108))\/sqrt(9)).\nAnswer: 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let x = -4.2 + 4. Let k = -11 - -7. Suppose -4*p = -4*y + 16, -3*p + 0*p - 10 = -y. What is the third smallest value in x, k, p?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 21385 + 16*d - 21491 + 0*d.\nAnswer: 16*d - 106","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from nennqenqnqnneqeenen. Give prob of picking 2 e.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 1 + -30?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1 + 19*q - 1 + 18*q.\nAnswer: 37*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 409*p = -20732 + 2736 for p.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 236 is divided by 80?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let g(z) = 2*z**2 - 2*z. Let q be g(1). Suppose 2*m + q*m - 4 = 0. Let l(c) = -7 + m*c + c**2 + 3 - 8*c. Calculate l(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2\/15 in -79, -0.5, 2\/2951?\nAnswer: 2\/2951","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u**2*u)**(1\/30)\/((u\/u**(2\/7))\/(u**(-4\/15)*u)) assuming u is positive.\nAnswer: u**(5\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -13 - 2455*q + 3797*q + 16 - 5 + 6237*q to the form i*q + y and give i.\nAnswer: 7579","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is -1063936 times 2?\nAnswer: -2127872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Express -24*a + 100*a + 65*a + 2*a - 2*a - 2*a + (2 + 1 - 5)*(-4*a + 5*a - 3*a) as o + s*a and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4*(2*sqrt(78)*3 - sqrt(78))*3)\/(-5*(sqrt(648)*1)\/sqrt(12)).\nAnswer: 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 296310?\nAnswer: 2, 3, 5, 7, 17, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Sort -5\/4, -0.4, -0.3, -1 in decreasing order.\nAnswer: -0.3, -0.4, -1, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 26 (base 8) in base 4?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert 1490843 (base 13) to base 12.\nAnswer: 224a405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, -4, -2766 in descending order.\nAnswer: 3, -4, -2766","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is -54.9882 times 0.065?\nAnswer: -3.574233","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -11200 (base 6) in base 13?\nAnswer: -94b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) = -465*g**3 - 2*g**2 - 3*g - 1. Let f be j(-1). What is the greatest common divisor of 15 and f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(b) = -34*b - 160. What is p(-5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Put 33, -19\/5, -4, 5, 589 in decreasing order.\nAnswer: 589, 33, 5, -19\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Express -80*z**3 + 42*z**3 + 40*z**3 - 24*z**4 - 3 in the form v + p*z**2 + b*z + s*z**3 + n*z**4 and give n.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-2)\/7 + (-57)\/21. Let g be w*(-8)\/36*3 + 438. What is g rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: 20002 (base 3) to base 6\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s(l) = -l**2 - 117*l + 118. Determine s(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Multiply -68 and 0.090244.\nAnswer: -6.136592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let w(a) be the first derivative of a**2\/2 - 3*a + 2. Let v be w(9). Suppose 4*i - v = i. Calculate the highest common factor of 6 and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 373107 is divided by 124289?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 25\/1224 and 75\/812464.\nAnswer: 7312176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 20632077 a multiple of 154?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:43 PM and 10:07 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: -222 divided by 6\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 264 = -f - 5*f. Let n = 64 + f. Suppose -4*v = -16 - n. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-14*y - 5*y + y + (-1 - 2*y + 1)*(-6 + 1 + 3) + 2*y + 3*y - 3*y - 3*y + 2*y + 0*y - y - 2*y + 2*y + 0*y + 4*y - 3*y)*(2 - 3 + 0).\nAnswer: 13*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*q - 4*j + 22, 2*j + 0*j + 28 = -4*q. Let t be 3\/q*(0 + -8). Let p = -1 - 4. Sort t, -4, p in increasing order.\nAnswer: p, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(f) = 109*f + 554. Let m be w(-5). Put -3, m, 5, -2 in descending order.\nAnswer: m, 5, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1255135042 (base 6) in base 13?\nAnswer: 3181166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -256, -378, -502, -628, -756?\n\"Answer: -m**2 - 119*m - 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 4 - -22213?\nAnswer: 22222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 79699?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {y: 18, s: 2}. What is prob of picking 1 y and 2 s?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Express -306 - 146*b**3 - 178*b**3 + 166 + 327*b**3 - 868 as s*b + h + x*b**2 + n*b**3 and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(18) + -5 + -4*(sqrt(2)*2 + sqrt(2)))**2.\nAnswer: 90*sqrt(2) + 187","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 10 (b) 31 (c) -3 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let y(p) = p + 11. Let a(j) = 2*j + 11. Let l(m) = m**2 + 4*m + 6. Let o be l(-4). Let k(v) = o*y(v) - 7*a(v). Differentiate k(n) wrt n.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(x) = 2*x**3 - x**2 - x + 8. Let b be j(0). Let m be ((-8)\/(-30))\/(b\/(-20)). Let f = 0.44 - 3.44. What is the nearest to m in 1\/8, -4, f?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(n) = n - 1. Let b(x) = -7*x + 2. Let r(l) = -b(l) - 3*k(l). Let f(o) = 9*o + 2. Give -6*f(i) + 14*r(i).\nAnswer: 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*x - 53 = 4*d - 13, -3*x + 32 = -5*d. Let h(s) = 2*s**2 - 14*s - 9. What is the smallest common multiple of 9 and h(x)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(m) = 424*m**4 - 1582*m**3 + 584*m**2 - 54*m + 26. Let v(l) = -47*l**4 + 176*l**3 - 65*l**2 + 6*l - 3. Let h(z) = 6*j(z) + 52*v(z). Factor h(k).\nAnswer: 4*k*(k - 3)*(5*k - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be (80\/24)\/10*39*-1. Is -4 <= i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*t + 2*j + 20 = 6*t, -t - 2*j = -5. Suppose -4*q - 32 = -l, 2*l + 2*q = t + 9. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(t) = t**3 - 11*t**2 + 4*t + 2. Let b be z(11). Is 46 less than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:41 PM and 10:29 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 56901?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 14\/69224367 and 121\/94170.\nAnswer: 692243670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 139, 143, 151, 163, 179?\nAnswer: 199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 17640?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0? (a) 919 (b) -4 (c) -2\/2133 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 1 + 1204\/(-10) + (-1751)\/(-824) + (-552)\/320?\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/5 of a millennium in decades?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: 281 divided by -3\nAnswer: -281\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let q(h) = -19*h**3 - 2*h**2 - 12*h - 12. List the prime factors of q(-3).\nAnswer: 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve l = -3*l - 4 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Determine a so that -5*a**5 - 10*a**4 + 65*a**3 + 70*a**2 - 120*a = 0.\nAnswer: -4, -2, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let w = -17485786.89400049 - -17485787. Let q = w - 0.106. What is q rounded to 7 decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: 4\/(-14)*392\/140\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*p = -3*c - 395, -522 = 3*c + c + 5*p. Let x = c + 667\/5. Let b = 7 - 5. What is the nearest to b in -0.2, -1\/2, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -127041, -254076, -381107, -508134, -635157?\n\"Answer: 2*v**2 - 127041*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -144*o - 175 = -151*o. Let p(q) = 34*q - 4. Calculate the remainder when p(3) is divided by o.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3508007 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 27504 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 8679.\nAnswer: 3, 11, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is next in 4602, 9197, 13792, 18387, 22982?\nAnswer: 27577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 4144, 8231, 12330, 16447, 20588, 24759, 28966?\nAnswer: 33215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-4)\/(-5) + 812\/(-140)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 n and 1 c when three letters picked without replacement from cuuneeeen.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Does 24 divide 203632536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let y(d) = -5*d - 14. Let g be y(10). Is ((-3)\/2)\/(3\/g) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -5 - 0 - (-6 - -4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 881*o = -3829*o - 194350 - 12890 for o.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*d + 35*d + 32 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 27595, 27594, 27593, 27592?\n\"Answer: -b + 27596","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let n(r) = r**3 - 2. Let i(z) = 697*z**3 + 68. Give 3*i(v) + 102*n(v).\nAnswer: 2193*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 551?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {w: 2, c: 2, a: 4}. Give prob of sequence ca.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Total of 36 and -1501.\nAnswer: -1465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let i = 2068 - 2073. Let z(y) = -y**2 - 5*y + 31. Let a(f) = f**2 + 6*f - 32. Determine i*a(v) - 6*z(v).\nAnswer: v**2 - 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: 46 (base 11) to base 5\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w = 12489 - 12487. Suppose -2*f - 3*i = i - 294, 0 = -5*f - 2*i + 767. Let r(c) = -76*c + w + f*c - 74*c. Let t(h) = 4*h + 1. What is -2*r(p) + 3*t(p)?\nAnswer: 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 2565 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: What is the value of 36\/(-16)*(-8)\/825*10*5\/10?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y = 6110 - 6106. Solve 6*h - 5*h - 12 = -3*c, 3*c - y*h - 12 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(j) = -17*j**3 + 3*j**2 - 18*j - 17. Is a(-9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -5*v**2 + 16*v**2 - v**2 - 4*v**2.\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let h(s) = 1262*s**3 + 2*s**2 + 8*s - 11. What is the hundreds digit of h(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3121*k = 1133*k + 1952*k - 508892 for k.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let g(p) = p**3 - 14*p**2 - 19*p - 58. Let m be g(16). What is the highest common factor of m and 825?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 13 divide 819?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 288604469 and 12517?\nAnswer: 288604469","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Put 9279, -3, -5, -4 in ascending order.\nAnswer: -5, -4, -3, 9279","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let u = -18 - -22. Suppose -1 = s + u, 4*x = -5*s + 355. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1521206 + 1521206 - 2963*p**2.\nAnswer: -2963*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Does 56 divide 564984?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 107 is divided by 37.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let r = -383 + 3445\/9. Sort -5\/7, 2\/13, 2, r.\nAnswer: -5\/7, r, 2\/13, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(h) = -h**3 - 2*h**2 - 3. Let g(j) = j**3 + 2*j**2 - j + 4. Let w(l) = -2*g(l) - 3*x(l). Let s be -5*1*(-2)\/(-5). Calculate w(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 6817 is divided by 61?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let u(d) = 5*d - 5. Let n(g) = 4*g - 6. Let b(t) = -6*n(t) + 5*u(t). Let m be b(-8). What are the prime factors of m\/(-2)*(-312)\/36?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -g + 1 - 1 + 54*g - 30 + 30 + (2*g - 3*g + 3*g)*(-2 - 1 + 1) + (-g + 2*g + g)*(4 + 3 + 1) + g - g - 2*g.\nAnswer: 63*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*z**2 - 3*z**2 + 2*z**2 + (-3*z**2 + 3 - 3)*(8 - 2 - 2) + (-z + 2*z + 0*z)*(-4*z - 3 + 3).\nAnswer: -17*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-28)\/(-12) - (-2)\/3. Suppose -4*g + 9 = -y. Let s(x) = 3*x - 1. What is the units digit of s(g)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 3438, 5837, 8236, 10635?\nAnswer: 13034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let b be (33\/198)\/((-4)\/(-72)). Solve 3*d + 4*y + 6 = 0, 9 = b*d - 0*d - y for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(p) = -5*p**3 - 6*p**2 + 39*p + 6*p**3 - 5 - 24*p**2. What is the tens digit of a(29)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 2322350174?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let v(j) be the second derivative of -13\/2*j**2 - 1\/3*j**3 - 2*j + 0. Let r(h) = h + 6. Let s(y) = 13*r(y) + 6*v(y). Let n(t) = -t. Give n(s(i)).\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 34480541.\nAnswer: 34480541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate (5 - (-4 - -9)) + 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -7*l = -11*l - 4*m - 8, -17 = -2*l + 5*m for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: (1 + -11 - (-6800)\/700)*1\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let i(o) = -o**4 - 5*o**3 - o**2 + o. Let s(x) = 4*x**4 + 21*x**3 + 4*x**2 - 3*x + 1. Let d(m) = -9*i(m) - 2*s(m). Let d(g) = 0. Calculate g.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 459?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -12, -11, 2, 33, 88, 173, 294, 457?\n\"Answer: o**3 - 6*o - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let k(h) = h**3 + 17*h**2 + 48*h - 19. Suppose 4*s + 9 = -c, -2*s + s = -2*c - 27. Calculate the remainder when 55 is divided by k(c).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 30 + -22. Let f be (4\/p)\/((-5)\/((-10)\/4)). What is the fourth smallest value in f, -2\/9, 2, -3\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 213062*s + 327281 wrt s?\nAnswer: 213062","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 5676938 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from {f: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of ((-22)\/(-20))\/((-14)\/(-35)) and 5\/4*(-390)\/(-52).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in -1\/5, -2, -0.08, -37891?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose d = 29 - 10. Let k = d + -173\/9. Sort -0.3, k, 2, 4 in descending order.\nAnswer: 4, 2, k, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(a) = 51*a + 733. Give r(-13).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 2952*y = -2367*y + 202122 for y.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, -5, 14 in descending order.\nAnswer: 14, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -38*f - 25*f = -378 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let a(y) = 126*y**3 + 5*y**2 - 5*y + 5. Let b(j) = -j**3 - j**2 + j - 1. Determine -a(s) - 5*b(s).\nAnswer: -121*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: (-3)\/(12*69\/(-16284))\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*t = 2*t - 6 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 125763425.\nAnswer: 5, 23, 218719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -c**4*m - 32*c**4 - c**3 + 2*c**2 + 11*m wrt c.\nAnswer: -24*c*m - 768*c - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 91 minutes after 9:25 PM?\nAnswer: 10:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: ((-21)\/2)\/7*((-4 - (-1386)\/280) + -1)\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -14686*u + 1209 = -14647*u for u.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: 7 (base 11) to base 2\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(162)\/sqrt(9)*-2)\/((sqrt(324) + -3*sqrt(324) - sqrt(324)) + sqrt(324)).\nAnswer: sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-4*-6*((sqrt(539)*-2)\/sqrt(11) - sqrt(49)))\/((1*sqrt(756))\/(sqrt(3) - (sqrt(3) + sqrt(27)\/(sqrt(27)\/sqrt(3))))))**2.\nAnswer: 1008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.48 and -0.7.\nAnswer: 0.336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is next in 15, 18, 21, 24, 27, 30?\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 55444563 and 6.\nAnswer: 110889126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -25005? (a) 31 (b) 4 (c) 58\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Expand 847*h - 744*h + 4 - 4 + (-2 - 3 + 4)*(2*h - 4 + 4).\nAnswer: 101*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 69\/(1863\/(-72))*6\/5?\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v\/((v*v*v\/(v*v**(-2))*v)\/v))**(-42)\/(v**(3\/2)*v)**47 assuming v is positive.\nAnswer: v**(17\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2632645?\nAnswer: 5, 181, 2909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 14833240 and 214088.\nAnswer: 103832680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let z(x) = 34*x - 13. Is z(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 21 by -4.\nAnswer: -21\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: -167551 - -3\nAnswer: -167548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 30102001 (base 4) in base 9?\nAnswer: 76004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*d - 2*g + g + 23 = 0, -6*g = -5*d + 65 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let q(v) = -v**3 + 12*v**2 + 82*v - 713. Give q(14).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let j be 1 - ((-39)\/(-9) + -4). Which is the nearest to j? (a) 6 (b) 0.4 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-6*(sqrt(30) + -2*sqrt(30)) + (sqrt(30) + 5*sqrt(90)\/sqrt(3) - sqrt(30)))\/(2*sqrt(490) + sqrt(490) - sqrt(490) - sqrt(60)\/(1*sqrt(6))).\nAnswer: 11*sqrt(3)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let l(i) be the second derivative of 2417*i**4\/12 - i**3\/3 + 2*i. Let h be l(6). Round h to the nearest ten thousand.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*q + 18420 = 5*y, 50*q - 4*y + 18416 = 54*q. What is the thousands digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 155471?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 179 and 21659?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (2 - 5 - 2 + (5 + 1 - 3)*(2 + 3 + 6) + 5 + 4 - 4)*(5*i**2 - 4*i**2 - 2*i**2) to the form w*i + p*i**2 + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let g(f) be the first derivative of 4 + 5\/3*f**3 - f + 1\/2*f**4 + 0*f**2. Differentiate g(y) wrt y.\nAnswer: 6*y**2 + 10*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4\/((-10)\/(-2)*(-4)\/(-50)) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -34 + 58. Let x(d) = 0*d**2 - 2*d**2 + d**3 + 0*d**2 + d + 2*d. Calculate the lowest common multiple of w and x(3).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be 0 + (-11 - (-679)\/63). Which is the closest to z? (a) -2 (b) 0.03 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 8, 14, 14, 8, -4?\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, -5, 120378 in descending order.\nAnswer: 120378, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 5703990?\nAnswer: 2, 3, 5, 19, 10007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Round 79429.6 to the nearest one hundred.\nAnswer: 79400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 83 or 97?\nAnswer: 97","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find q such that -3*q**3\/2 - 45*q**2\/2 - 81*q\/2 - 39\/2 = 0.\nAnswer: -13, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate 5590*0.02.\nAnswer: 111.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Work out -5 * 32593.\nAnswer: -162965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*b = 12*b - 1830. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 445 greater than 430?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -17*r = -8*r - 1152. Let n = 430 - r. Which is smaller: n or 301?\nAnswer: 301","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be -1*(-1 + -1) + -6. Let k = 25 - 25.1. What is the third smallest value in k, m, -2\/7?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 292 divide 75938104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 87779.097 minutes in weeks?\nAnswer: 8.70824375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r = 30 - 30.5. Which is the third biggest value? (a) r (b) -3\/14 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 45 + (3 - (1 - -89))?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 504559215.\nAnswer: 3, 5, 11212427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Express -v**3 - 24*v**2 + 23*v - 27*v**2 + 1 + 55*v**2 - 49*v in the form a*v**2 + b*v**3 + g + x*v and give x.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 4678472?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:50 AM and 4:36 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let n(q) = q**2. Let h(w) = -34*w**2 - 2. Calculate h(n(t)).\nAnswer: -34*t**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let y(z) = -z**2 - 15*z + 926. Calculate y(24).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 131737?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 433, 410, 367, 304?\n\"Answer: -10*i**2 + 7*i + 436","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -35*a - 651 = 127 - 8 for a.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Multiply 14 and 1201.71.\nAnswer: 16823.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: -115445 (base 6) to base 12\nAnswer: -5b85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -q + 0*v - 5*v = -22, 4*v - 8 = 0. Suppose -q*k + 3*k = -567. What is the greatest common factor of k and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -228, -244, -276, -330, -412, -528, -684, -886?\nAnswer: -1140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 3165490*f**6 - 2*f**3 + 25627836*f**2?\nAnswer: 379858800*f**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 295653317 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let m(q) = 5*q**2 - 3*q - 9. Suppose 30*o - 9 = 33*o. Suppose -2*f + 0*f - 358 = -4*z, -2*z + 2*f = -180. What is the remainder when z is divided by m(o)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.096 and -608.\nAnswer: -58.368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Work out 27905304825950.8 - -0.04.\nAnswer: 27905304825950.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 7093 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence eppp when four letters picked without replacement from {p: 4, e: 16}.\nAnswer: 16\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*u = x + 10, 6*u = 2*u + 4*x - 8. Let a(i) = 264*i. Let g be a(-1). Is (u\/2)\/(11\/g) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 211*k - 213*k + 2*x - 22, -7 = k + x for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: -18374496 times -0.5\nAnswer: 9187248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-6)\/(-15) - 4\/10. Factor 5*q**3 + 2*q + q**4 - 4*q**3 - q**2 - 3*q + g*q**4.\nAnswer: q*(q - 1)*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -0.038 + 0.448. Let x = 0.76 + j. Round x to one decimal place.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-68*v - 44*v + 126*v - 1)*(-v + v - 3*v**2) - 6*v**2 - 3*v**3 + 6*v**2 as m*v**3 + t*v**2 + r*v + h and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-6)\/(-15)*-4 + 2530\/550. Let n(i) = i + 1. Let f(k) = -6. Calculate j*n(o) + f(o).\nAnswer: 3*o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 8576*m**2 - 34310*m**2 + 8582*m**2 + 8581*m**2 + 8575*m**2.\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -235083 - 324934 = -147*k - 40960. Calculate the highest common divisor of k and 5136.\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 4 - 21\/5. Let l = 40 + -40. What is the closest to -0.2 in i, l, 0.1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(q) = q**3 + 3*q**2 - 5*q - 1. Let k be l(-4). Suppose -6 = 4*u - 2*u + t, -t = -u. Sort k, -4, u in descending order.\nAnswer: k, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of (-173)\/(-30) + 4\/(-12) and (16902\/210)\/(-9) + (-186)\/217.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 153720 and 133?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -0.076203 rounded to 1 decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in twenty-five halves of a decade?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -u + 56 = -12. Suppose 3*v - u = 2*o, 6*o - 16 = 10*o. What is the remainder when v is divided by (-20)\/(-3) - 2\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 236939 is divided by 59226.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 14784168 and 224.\nAnswer: 59136672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let o(p) = -17740*p**3 + 21*p**2 - 152*p + 320. Let x be o(-40). Round x to the nearest one million.\nAnswer: 1135000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -2586 or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.2469243 microseconds to minutes.\nAnswer: 0.000000004115405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i(f) = f**2 - 1. Let y = 33 - 35. Let s be i(y). Solve -g + s + 8*g**3 - 3 - 4*g**5 - 3*g = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 120, 239, 358, 477, 596, 715?\nAnswer: 834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let y(w) = 22*w + 3. Let t be y(-1). Let c(i) = -i**2 - 11*i - 12. Let s be c(-5). Let j = t + s. Let z(f) = 7*f**2 + 2*f + 1. Give z(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 82570388?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: -0.05 times 7\nAnswer: -0.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let p(y) = y**2 - y - 7. Let t be p(-3). Suppose -282 - 38 = -t*m. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 113\/204 and -151\/138.\nAnswer: 4692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 124 + 11224055?\nAnswer: 11224212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 16012 is divided by 28?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Express (4 - 5 - 6)*(5 - 5 + 7*p**3) as q*p + o*p**3 + s*p**2 + x and give o.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2 in 0.4, -275, 162, 5, 4, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*(sqrt(143) + (3*(sqrt(143) - sqrt(143)*2) - sqrt(143))))\/(sqrt(539) + 4*(sqrt(539) + sqrt(539)*-3) + sqrt(539) + sqrt(539)).\nAnswer: -3*sqrt(13)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*p - a = 5*p - 70, 0 = 2*a + 10. Suppose 240 = -p*t + 19*t. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*c - 2438 = 2*c. Let h = 1760 + c. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*z - 2*i = -13 - 17, 0 = z - i + 9. Is (-2 - 1910\/(-4))*(-4)\/z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -28399, -28857, -29301, -29725, -30123?\nAnswer: -30489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 20729489 or 20729491?\nAnswer: 20729489","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 6541595, 13083176, 19624757, 26166338?\n\"Answer: 6541581*x + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let g(b) = 66*b**3 - 5*b**2 + 2*b. Let f(n) = -65*n**3 + 6*n**2 - 3*n. Give -2*f(w) - 3*g(w).\nAnswer: -68*w**3 + 3*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10 = 5*i + 5*y, 0 = 2*y - 3*y. Suppose -i*o + 9 = -o. Let l be (-10 + 168\/12)*(0 - -1). Solve p = -r - o, -l*r - 8 = -3*p - 0*r for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 36 a factor of 4752677?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ovomoorovvoovrovi. What is prob of sequence iomr?\nAnswer: 1\/3570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let g = -2695 + 2704. Solve -5*a - 6*r + g*r = 0, 0 = a - 2*r for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 93 divide 19558?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 60573181.\nAnswer: 37, 241, 6793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Express 2 + o - 8*o**4 - o**4 + 5*o**4 + 4*o**2 - 1 in the form k + n*o**4 + q*o**3 + w*o + p*o**2 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 320 divided by -8?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2174898 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is -86782*(-13)\/78*3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(s) = -s**2 - 2*s - 10. Let i be p(8). Let n be (11 + 0)\/((-10)\/i). Suppose 4*f - 15 = -2*b + n, 0 = -3*f + 4*b + 58. List the prime factors of f.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: 1 + -5 + 5 + (2 - 3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3 + 4309*d + 3 - 4311*d.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 14809481767 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of ((-44790)\/12)\/(15\/(-12))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(l) = -45*l**3 - 11*l**2 + 11. Let s(m) = -23*m**3 - 6*m**2 + 6. What is 11*s(g) - 6*t(g)?\nAnswer: 17*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -349307865*w**5 + 193902982*w**2?\nAnswer: -20958471900*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 18, -48, -160, -318, -522, -772?\nAnswer: -1068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -17540 = -11*j - 17463 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5533 = -7*a + 18*a. What is the remainder when a is divided by 70?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(f) = -4*f**2. Let y(b) be the third derivative of 13*b**5\/60 - 5*b**3\/6 + 2*b**2 - 20. Determine c(y(g)).\nAnswer: -676*g**4 + 520*g**2 - 100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let m be 37*(-1)\/13 - 2\/13. What is the common denominator of 51\/20 and 1995\/(-10)*-3*m\/162?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is five quarters of a gram in milligrams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 6855 is divided by 102?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -7740*l**5 + 350*l**3 + 648928657*l**2?\nAnswer: -464400*l**2 + 2100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 367500 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Divide 1456180 by -85.\nAnswer: -291236\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Divide 2106 by -3.\nAnswer: -702","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-13 + 4)\/(3\/(-129)). Let h = j + -259. Is 32 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 54668550 is divided by 1543?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*u - 4*v - 8 = 0, 5*u - 5*v + 1 = 4*u. Solve 2 = -u*b - 4*g + 2*g, 0 = 4*b - g + 5 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -4\/15 in 117, 2\/11, 3\/5, -4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ttqqqttqtlrttqtltr. Give prob of sequence rq.\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Work out -200.5 - -0.0944202995.\nAnswer: -200.4055797005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -60 = -2*p - 5*u, -2*p + 18 = -5*u - 82. Let c be (-32)\/p*(-2 + 7) + 3. List the prime factors of (-282)\/c*(11\/(-2))\/(-11).\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -60*v**2 + 390428*v - 52056.\nAnswer: -4*(v - 6507)*(15*v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:45 AM and 4:38 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 19500720 and 37635?\nAnswer: 2895","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.4*-22840.722.\nAnswer: -9136.2888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -121141 (base 6) in base 12?\nAnswer: -61b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence rx when two letters picked without replacement from nrqqqxqrrgr.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 864, 987, 1108, 1227, 1344?\nAnswer: 1459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 2478, 2467, 2456, 2445?\n\"Answer: -11*m + 2489","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Convert -100101001010 (base 2) to base 8.\nAnswer: -4512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m(j) = j + 4. Let h be m(-3). Let c(a) = a**3 + a**2 - a + 1. Let l be 50\/20*(-7)\/(140\/48). Let x(u) = 4*u**3 + 6*u**2 - 7*u + 6. Calculate h*x(f) + l*c(f).\nAnswer: -2*f**3 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3*(sqrt(2156) + 1) - (0 + sqrt(6336) + 4))*-1 + -5.\nAnswer: 2 + 66*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 841638?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*q + 4 = -12. Suppose 2*o = -34 + q. Let f be 5\/(o\/(-2))*36. Calculate the greatest common factor of f and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) 3 (b) -1\/4 (c) -5 (d) -276094 (e) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -7\/3 in 16, -0.3, 37?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 205, 408, 609, 808?\nAnswer: 1005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 667639?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let d = 1290 - 1295.27. Let w = -5.269999794 - d. Round w to seven decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(q) = 34*q**3 - 12069*q**2 - 352*q - 997. What is d(355)?\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is thirteen fifths of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 547 minutes before 3:57 PM?\nAnswer: 6:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let r(z) = -z**3 - 7*z**2 + 311653*z + 1869965. What is r(-6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-10)\/(-6)*8\/120. Let y(x) be the first derivative of 0*x + 0*x**2 - s*x**3 - 1 + 0*x**4 + 1\/15*x**5. Factor y(i).\nAnswer: i**2*(i - 1)*(i + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 2814 and 35644?\nAnswer: 106932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let w(c) = -23*c**3 - c**2 + c - 2. Let k = 510 - -174. Suppose 0 = 10*d + 9*d - k. Calculate the remainder when w(-2) is divided by d.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*i - 50 = -10*i. Suppose -h = -5*s + 15 - 5, -3*h + i = 5*s. Suppose v - 14 = s. Solve -4*k = -f - v, -3*k + 5*f - 15 = -2*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (36*(-75)\/186300)\/(2\/(-4))?\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 137\/2787942 and -49\/354700.\nAnswer: 139397100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 v and 1 e when two letters picked without replacement from faved?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let o = 4 - 3. Let k = -7 + o. Let s(r) be the second derivative of -13*r**3\/6 + 7*r**2\/2 + r. Let d(j) = 7*j - 4. Give k*s(v) - 11*d(v).\nAnswer: v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -8140*o + 4069*o + 542 + 4074*o + 2*o**2.\nAnswer: 2*o**2 + 3*o + 542","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 112*i + 2 - 319*i - 367*i.\nAnswer: -574*i + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 315 minutes after 3:33 PM?\nAnswer: 8:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 37\/137172 and 27\/90967898.\nAnswer: 545807388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 426204055 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -7*a - 26 - 60 = 180 for a.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 282573725 a multiple of 336?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let w(b) = b**3 - 37*b**2 + 33*b + 108. Let p be w(36). Solve p = 2*s - 4*x - 24, s + 3*s + x - 12 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 62\/24*2*104*2397\/(-20774).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 7 is divided by (-319)\/(-99) + 2\/(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 247, 248, 249, 250, 251, 252?\n\"Answer: h + 246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -13*i = -22*i - 20*i - 464 for i.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let h(j) = j**2 + 15*j + 55. Let m be h(-7). Let z be 22*4 - (-1 + 0)*m. What is the highest common factor of z and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 0.1, -5\/3, 2\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let s(h) = 6*h + 16. Calculate s(-5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Find m such that -28*m**3 + 48*m + 4*m**5 + 8*m**2 + 424*m**4 + 420*m**4 - 844*m**4 - 32 = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 24 a factor of 658560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 19730?\nAnswer: 2, 5, 1973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Work out 54.65 * -0.4.\nAnswer: -21.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 252 is divided by 86?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12 = 7*j - 4*j - 5*b, j = 4*b - 4. Let t = 5 - 5.36. Let c = 0.06 + t. What is the closest to c in j, -0.5, -2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5*(sqrt(84) + (sqrt(84) - (sqrt(84) - ((2*sqrt(84) + sqrt(84) + sqrt(84))*2 + sqrt(84)) - sqrt(84))))\/((-3*sqrt(144))\/sqrt(12)).\nAnswer: -55*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from xsaxasyxxs. What is prob of picking 2 x and 1 y?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Put 1\/2, -2\/15, -2, 0.3 in decreasing order.\nAnswer: 1\/2, 0.3, -2\/15, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*b**3 - 3 + 0*b**2 + 3*b**2 + 5 + 9*b - 6*b**3.\nAnswer: -(b - 2)*(b + 1)*(4*b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -24.491 rounded to 1 decimal place?\nAnswer: -24.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is one twentieth of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*v + 2*y = 862 + 2872, -3*v - 4*y - 2828 = 0. Let p be (v\/10)\/((-6)\/60*3). Factor -75 - 507*o**2 + p*o + 14 + 13.\nAnswer: -3*(13*o - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 612503 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 9248 >= 9248?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 21 and 455?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let h(a) = 4*a + 3. Let y be h(-2). Let x be (-54)\/(-10) + 2\/y. Suppose 0 = -x*j - 15. Is -1 greater than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 693 is divided by 148?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let z be (1 + -2304 + -1)*45\/(-27). Let a = 960 - z. Round a to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*z - 1578 = -4*o, 0*o = 3*o - 5*z - 1166. Let c be (-35)\/(-15)*48\/o. Sort -0.67, -3, 0, c in descending order.\nAnswer: c, 0, -0.67, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 504, 954, 1408, 1872, 2352?\nAnswer: 2854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve i = -4*n - 10 - 7, 4*i = -14*n + 52*n + 202 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} {"text":"Question: Let o = -213 - -213.02. What is the second biggest value in -2\/9, 1, 2\/11, o?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: (4068\/(-12430))\/(((-6)\/10)\/(-1))\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y be 2 + -13 + (-1 - 2). Let z = -11 - y. Suppose -17 = -u - 4*c, -u - 5*c + 12 = -z. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.572+-1.9\nAnswer: -2.472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let z be -9 + (-4 - -3)\/(1\/2). Let w be -11 - z - (-8)\/(-10). Which is the closest to w? (a) 4 (b) 3\/7 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(o) = 5*o**2 + o**2 + 30869*o - 30869*o. Let j(x) = -8*x. Give j(c(n)).\nAnswer: -48*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 27*w**4 + 998167*w**3 + 326040705*w**2 - 1?\nAnswer: 648*w + 5989002","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1046794, -1046646, -1046498, -1046350, -1046202?\nAnswer: -1046054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let m be ((-10)\/7)\/(4\/(-16)) + -6. Which is the smallest value? (a) -0.4 (b) -5\/6 (c) m (d) -1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(u) be the first derivative of -2*u**3 + 5*u**2 + 18. Find the second derivative of w(d) wrt d.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 199110.\nAnswer: 2, 3, 5, 6637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let y(z) = 7*z**2 - 3*z - 2. Let w be 11 + (-4 - -6) + -4. Let i(p) = -28*p**2 + 12*p + 9. Let s(k) = w*y(k) + 2*i(k). Find the second derivative of s(m) wrt m.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.29 in 0, -8, -0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let d = 23 + -21. Suppose 0 = d*i - 3*i + 3. What is the second derivative of 11*t - i*t - 3*t + 8*t**4 + 4*t wrt t?\nAnswer: 96*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(18)*-1*5 - sqrt(18))\/sqrt(9).\nAnswer: -6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*y - 2*z + 12510, 35*y - 37*y = -3*z - 6251. What are the prime factors of y?\nAnswer: 53, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (5*s - 5*s + 2*s)*(0 + 2 - 4) - s + 4*s - 2*s - 3 + 16*s + 3 as b*s + y and give b.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Put together -0.2 and 257009401.\nAnswer: 257009400.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 94164033 and 9528.\nAnswer: 1191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -51.55 or -0.71?\nAnswer: -0.71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is -64464320 rounded to the nearest one million?\nAnswer: -64000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate 120\/780 + 138\/(-52).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 8*a - a + 3*a.\nAnswer: 10*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 538673 is divided by 179532.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Sort 262, -6, -8, 4 in ascending order.\nAnswer: -8, -6, 4, 262","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate 43 divided by -43.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-146)\/42 - 6\/(-18). Let j = 226\/63 + v. Solve 2\/9*m**5 + 0*m**4 + j*m**2 + 0*m + 0 - 2\/3*m**3 = 0 for m.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 2 + 1. Suppose 3*u = -3*s + 7*s + 8, -7 = -u - g*s. Suppose -3*c + 19 + 8 = -4*h, -3*c + 27 = u*h. Solve 5*o - c = -2*b, 2 + 7 = o - 2*b for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -31*a + 88 - 26. Factor 0 - 4\/5*m**a + 4\/5*m.\nAnswer: -4*m*(m - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -118 - ((-22 - 65) + 51).\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 458594387 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*x - 3*x = 5*j + 19, -5*x = -j - 13. Suppose 2*u - 58 = -2*u - 2*c, -4*u + 2*c + 70 = 0. Suppose u*r + 15 = 13*r. Sort r, -2, j in decreasing order.\nAnswer: -2, j, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -415\/3 - -139. Put o, 5, -1\/2, 2\/19 in increasing order.\nAnswer: -1\/2, 2\/19, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 2353 and 130.\nAnswer: 23530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let p = -3\/4591 + -4579\/18364. What is the nearest to p in 0.5, 3\/2, -0.339, 5?\nAnswer: -0.339","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 16207538?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-2 + 1)*(-4 - (3 - 7)). What is the second smallest value in x, -4, -14?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 86812 to the power of 1\/3, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*b + 5 = -2*i, -2*i + 2*b - 5*b = -19. Suppose 0 = i*x - 3*x - 6. Suppose -6*g = -x*g - 399. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -525 + 693. What is the remainder when 3020 is divided by x?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((r\/((r*r\/(r\/r**5))\/r))\/r**(1\/9))**35\/((r\/((r**(1\/9)*r)\/r)*r**6)\/(r**(-1))**(7\/3)) assuming r is positive.\nAnswer: r**(-1378\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let v(m) = -318*m + 623*m + 16*m**2 - 20*m**2 - 308*m. Let g(j) = -4*j**2 - 3*j + 1. Calculate 3*g(z) - 2*v(z).\nAnswer: -4*z**2 - 3*z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 1221215 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -76*d**3 - 82*d**3 + 454*d**3 - 167*d**3 - 134*d**3.\nAnswer: -5*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((z\/(z\/z**(-2\/9)))**(-4\/11)\/((z**3\/z)\/(z*z**6)))\/((z**(-1)\/z*z)**(-50)\/(z*z\/z**(-1))**(1\/50)) assuming z is positive.\nAnswer: z**(-222053\/4950)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let f = -5 - -68. Which is smaller: f or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1827 in -2\/13, 4, -0.4, 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let z(w) = -15*w**2 - 2*w + 5. Let q(p) = -p + 2 + 0*p + 0 - 8*p**2. Suppose 0 = 3*u - n - 2, 0 = 4*u - u + n - 10. Let i(a) = u*z(a) - 5*q(a). Give i(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -6 + 68 - (527 + -518)?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 29918 and 1157758.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m**(-9)*m**(-13\/5)*m*m\/(m*m**(-26))*(m**19\/m)\/m)**(2\/9) assuming m is positive.\nAnswer: m**(36\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let g = 49 - 46. Let h(t) = t - 2. Let z be h(g). Suppose -4*o - 4 + 20 = -x, 4*x - 5*o = -20. Sort z, -4, x, -1 in increasing order.\nAnswer: -4, -1, x, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 19*r - 29 + 29 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -101, -194, -279, -356, -425, -486?\n\"Answer: 4*d**2 - 105*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (7 - 2) + -7 - -8.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: 3\/6*-4*3\/30\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (-126*w + 201*w + 46*w)*(w**3 - 2*w + 2*w + w).\nAnswer: 121*w**4 + 121*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2? (a) 1 (b) 2\/7 (c) 21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate 34 divided by -28222.\nAnswer: -17\/14111","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} {"text":"Question: Let d(q) be the first derivative of q**8\/1680 - q**6\/180 + q**4\/24 - q**3 + 1. Let m(t) be the third derivative of d(t). Determine p so that m(p) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -13 - -6. Let k = s - -71. Let v = 63.9999939 - k. Round v to 6 decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(p) be the second derivative of -6*p + 0*p**5 + 0*p**4 + 0*p**3 + 3*p**2 + 0 + 1\/6*p**6. Find the first derivative of t(v) wrt v.\nAnswer: 20*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -12 + 167a?\nAnswer: 1668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 24 is divided by ((-4)\/(-3))\/((-2)\/(-21)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-41 - -29) + 7 + -2 - -3 - 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in three tenths of a centimeter?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort -292, -12938.2, 0.2 in increasing order.\nAnswer: -12938.2, -292, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*v = -5*l - 30, -19*l - 74 = 41*v - 42*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let j(i) = -835*i + 136. List the prime factors of j(-4).\nAnswer: 2, 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-25*2\/30)\/(702\/54).\nAnswer: -5\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a be ((-8)\/34)\/(6\/1695). Let z = -9481\/170 - a. Find the common denominator of -99\/16 and z.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.000100097 to 5 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 71073738?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let h = 889 - 869. What is the smallest common multiple of h and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(l) = 13*l + 69. Let m be r(-5). Suppose -2*f + 505 = 3*i, -4*i + 674 = m*f - 2*f. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*z + o - 23 + 8, 0 = 5*z - 4*o + 10. Let j(v) = v**2 - 4*v + 3. Calculate j(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 881 + -1336. Let q be (-1409)\/p - 3 - 1\/7. Do -0.2 and q have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(u) = -457*u**2. Let z(t) = -3*t. Calculate f(z(y)).\nAnswer: -4113*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 g and 1 w when three letters picked without replacement from {w: 2, g: 10}.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 6564210 and 20256.\nAnswer: 1266","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2565067.\nAnswer: 2565067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 371.1673 decades in centuries?\nAnswer: 37.11673","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((k\/(k**(2\/17)*k))\/k)**(-27))**(-5\/6) assuming k is positive.\nAnswer: k**(-855\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3 + (3*sqrt(63))**2 + 6*sqrt(70)\/(sqrt(10)*-3).\nAnswer: -2*sqrt(7) + 570","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) 0.2 (b) -2\/27 (c) 1 (d) 33 (e) -4\/3 (f) 9 (g) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 101110 a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Divide -5687141 by -247267.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let s be 7\/((-35)\/(-2))*5. Suppose 0 = -3*y - 3*k + 2*k + 404, -272 = -s*y + 2*k. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 19 a factor of 123236375?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -669676 less than 6.08?\nAnswer: 669682.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let u(p) = 176*p**3 - 2*p + 1. Let r be u(1). Let w(y) = -5*y + 37 + 0*y + 2*y. Let i be w(-11). What is the greatest common factor of r and i?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in d + 4078 - 2037 - 2041.\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -8 + -9 + 2252\/132 + 5707\/(-2145)?\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 38792 a multiple of 261?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, 1\/13, 8, -4, -2.\nAnswer: -4, -2, 1\/13, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let c = -349 + 354. Let k = -33 + 18. What are the prime factors of c\/(-2)*36\/k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:50 PM and 4:21 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 19*z**4 + 72010*z**3 + 52*z**2 + 30174*z?\nAnswer: 456*z + 432060","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let f = 16\/33 - -2\/11. Let n be (-2)\/(-2) - (-2)\/(-4). Let g be 6\/10*5\/2. Which is the third smallest value? (a) g (b) f (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((b*(b*b**(4\/5))\/b)\/(b\/b**1*b))\/(b*b**(-2\/3)*b)**(-1\/17)*(b\/(b**(1\/2)\/b))**26*(b**(2\/13)*b)\/(b*b**(-6)) assuming b is positive.\nAnswer: b**(152597\/3315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let o(c) = -17585*c - 175846. Let w be o(-10). Suppose -48\/7*g + 0 + 64\/7*g**2 - 4\/7*g**w - 12\/7*g**3 = 0. Calculate g.\nAnswer: -6, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: 20573263 * 0.17\nAnswer: 3497454.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2\/(-140)*-10*7\/(-6).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -3120, -6349, -9578, -12807, -16036, -19265?\nAnswer: -22494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let s = -0.0412 + -1.9588. Which is the smallest value? (a) 3 (b) 0.018 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-135)\/25 - 4\/(-10). Let b = k - -9. Suppose t - b = 10. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(c) = 4*c**2 + 2*c. Let g be o(1). Let v be 1\/(2\/(0 + 12)). Suppose -4*b + v = 3*x - 2, b = 3*x - 13. Is g bigger than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 + 3 + 0)*(4 - 4 + 2)*(-12*r**4 + 1078*r**3 - 2*r - 1078*r**3).\nAnswer: -120*r**4 - 20*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let i = 3.7 + -4. Let x(p) = -p + 1. Let h be x(1). Suppose -3*u + 2*u - 4 = 0. Which is the nearest to h? (a) i (b) 5 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1 = -y - 2. Let n = -6 - -11. Let r = n - y. What is the remainder when 22 is divided by r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be (30\/27)\/((-26)\/(-39)) + -6 + 6. Let p(w) be the first derivative of 6*w - d*w**3 + 10 + 4*w**2 - 1\/4*w**4. Determine p(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve w + 18 = k, -1171*w + 1174*w = 4*k - 69 for k.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let k(m) = m - 14. Let d be k(8). Let r(o) = -5*o**3 - 3*o**2 - 3*o - 3. Let a(s) = -60*s**3 - 35*s**2 - 35*s - 35. Give d*a(x) + 70*r(x).\nAnswer: 10*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 501454 is divided by 41786?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let k(r) = -129*r**3 + 3*r**2 - r - 3. Suppose -6*t - 6 = -3*t. Is k(t) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13*g - 52 = 39*g. Which is greater: -12\/71 or g?\nAnswer: -12\/71","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 13942 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*v + 4*d - 16 = 0, -3*v + 2*d - 13 - 7 = 0 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) -2\/9 (b) -96 (c) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Put -644, -19, 31 in decreasing order.\nAnswer: 31, -19, -644","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let a(n) = 2*n - 3. Let h(r) = -4*r + 6. Let u(w) = -5*a(w) - 3*h(w). Let t(g) = g - 1. Calculate 3*t(i) - u(i).\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let a(x) = -30*x**2 - 109*x - 1784. Let p(c) = -7*c**2 - 25*c - 446. What is 6*a(l) - 26*p(l)?\nAnswer: 2*l**2 - 4*l + 892","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1\/3 in -0.2, -0.1, 39, -31?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let s(m) be the first derivative of 5\/3*m**3 + 1\/8*m**4 - 9 + 9\/2*m**2 + 0*m. Let x(h) be the second derivative of s(h). Differentiate x(d) with respect to d.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 169 divide 27040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Divide 1637 by -1525.\nAnswer: -1637\/1525","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is -1552 less than -1220?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in 1\/8, 8.6, -2\/5, -1\/3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -7*u + 5*u + 11 = q, -20 = -4*u for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 62 + (-20 - ((2 - 4) + (35 - 46)))?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 14516 and 1298036.\nAnswer: 764","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} {"text":"Question: Solve -9149*l**5 + 311060*l**4\/3 - 2314493*l**3\/9 - 1866902*l**2\/9 - 109924*l\/3 - 8 = 0.\nAnswer: -1\/3, -2\/9149, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 1800615205 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.02202 and -0.5?\nAnswer: -0.01101","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let i(x) = -x**2 - 6*x - 1. Let o be i(-3). Let m(j) = 17*j - o + 9 - 2*j**2 + 9 + j**2. Let n be m(18). Let w(a) = -a**3 - 8*a**2 + a + 4. Give w(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -25, -32, -43, -58, -77?\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*p + 0*p = -2*m - 4, p = -2*m - 9. Put 0, -2, p, 2 in increasing order.\nAnswer: -2, p, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(l) be the third derivative of l**4\/6 + l**3\/3 + l**2. Let p(j) = 2*j**3 - 96*j**2 - 101*j + 145. Let n be p(49). What is u(n)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(p) = -p + 5. Let h be v(3). Suppose h*f + 0*f = 0. Which is smaller: -1\/3 or f?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(k) = 9844*k - 3051677. Determine b(310).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 17675 is divided by 54?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Sort -57, 1, -1, 9 in decreasing order.\nAnswer: 9, 1, -1, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Convert 76597.82km to micrometers.\nAnswer: 76597820000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 21\/(-6)*((-308)\/294)\/22?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -2\/3 or -500236476?\nAnswer: -500236476","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*i = 2*h + 14266, h = -156 + 151. Which is bigger: 0 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 19*k - 55 = 390 - 27 for k.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let v(h) = -316*h**2 + 1598*h + 8314. Let f(s) = -19*s**2 + 94*s + 489. Let u(n) = -100*f(n) + 6*v(n). Solve u(b) = 0 for b.\nAnswer: -41, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 75*y - 20588 - 161698 = 71889. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r**(1\/3))**(-16)*r**5\/(r\/(r*r**7\/r*r*r)) assuming r is positive.\nAnswer: r**(23\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let q(s) = s - 2. Let x(u) = 18*u - 30. Let d(m) = -30*q(m) + 2*x(m). Let j(a) = -4*a**2 + 5. Let r(i) = i**2 - 1. Let z(f) = j(f) + 5*r(f). Give z(d(w)).\nAnswer: 36*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 471 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 90175 to the nearest integer?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6 = -13*u + 15*u. Suppose -4*b - u*t + t + 18 = 0, 9 = 4*b - t. Suppose -2*k - 6 = k - b*d, -2*d = -4*k. Solve c + c - k = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be 12 + -15 - (-4)\/2. Suppose -5*s + 4 = 14. Put s, 3, x in ascending order.\nAnswer: s, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 48, 82, 134, 198, 268?\nAnswer: 338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -1, 3\/5, 0.14, 1\/2, 3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 3 in 10, -1, 1, -0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let t(g) = -6*g**3 + 5*g**2 + 4*g + 8. Let z be t(7). Let h = z + 2635. What are the prime factors of h?\nAnswer: 2, 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -k + 64 = -5*o + o, -o - 16 = 2*k. Calculate the least common multiple of 2 and (-84)\/(-10) - o\/(-40).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 32*q - 33*q - 25 = -5*w, 5*q + 4*w = 20 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:12 AM and 3:07 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -2019 and 7?\nAnswer: -14133","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let y(r) = r**3 - 6*r**2 - 2*r + 20. Suppose 140 + 57 = 36*d + 53. Calculate y(d).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 60.8 - -6.2. Let y = g - 102. Let p = 35.1 + y. Which is greater: p or -7\/9?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(u) = -37*u - 2. Suppose 420*h + 738 = -216 - 1146. What is k(h)?\nAnswer: 183","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 138 + -150 - ((-2 - (-1 - -1)) + -8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert -d (base 16) to base 11.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2 in -0.175, 10, 0.2?\nAnswer: -0.175","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 27090909 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let c(m) = m**2 + 25*m + 32. Let b be c(-8). Let r be b\/182*(-7)\/2. Let t be (1 + 17)*(-1)\/(-3). Which is smaller: t or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 343*r + 340*r + 4 + 340*r - 1025*r.\nAnswer: -2*r + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Subtract -346277051 from -9.\nAnswer: 346277042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let d(g) = 12*g - 123. Let i be d(21). Calculate the highest common divisor of 215 and i.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 27 a factor of 1\/(7\/76466) - (-52)\/182*1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in 5\/8 of a day?\nAnswer: 54000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t(l) = 4*l**3 + 1. Let k be t(1). Suppose 13*y - 5 = 12*y. Let f be (10\/y)\/((-6)\/(-9)). Solve 0*v + 5*v = 3*i + k, -17 = f*i + v for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of (-3423542)\/(-1099) - 1*(-12)\/14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 11 in -2\/3, -166, -3\/2, -5, -2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence hb when two letters picked without replacement from bhbhb.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(425)*-2*-1 - 1*(-1 + sqrt(425)) - ((sqrt(425) + -1)*3 + -5)*-4) + 5)**2.\nAnswer: -3380*sqrt(17) + 72501","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 158651 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in ninety-four thirds of a day?\nAnswer: 45120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -36616.82 rounded to the nearest one thousand?\nAnswer: -37000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many meters are there in 13\/8 of a kilometer?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -6879*w + 13238*w + 8332*w.\nAnswer: 14691*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 11 is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 0.047, 0.03, 2\/5, 2\/21?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 9927234 and 17100?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: -151220 - 16\nAnswer: -151236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1703? (a) 8253 (b) 0.4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let r(g) = -5*g - 2. Let w(f) = 10*f + 3. Let v = 64 - 59. Determine v*r(n) + 3*w(n).\nAnswer: 5*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: 0 (base 14) to base 13\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r = -31 + 55. Suppose -5*h - 4*p = -r, -3*h + 16 = -3*p + 5*p. What is the remainder when h is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -52.77824 - -53. Let q = s + -0.22. Round q to four decimal places.\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 191, 120, -29, -250, -537, -884, -1285?\n\"Answer: h**3 - 45*h**2 + 57*h + 178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-1)\/(-262)*3324\/(-90). Let w = 1\/131 + d. Let t = -16480 + 16480. Which is the nearest to -1\/5? (a) t (b) 1 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-138)\/(-12) + -4)*(-2)\/(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.68956 rounded to one decimal place?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let q be 6 - (-1 + 14 - 12). Solve -10*b + 13*b = -q*x + 17, 4*x + 3*b - 13 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) -170 (b) 2 (c) 0 (d) -36.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 1 greater than -980\/4967?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 299083429 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Does 110 divide 350703002?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let f(s) be the third derivative of s**7\/735 - s**6\/105 + s**5\/42 - s**4\/42 + 30*s**2. Solve f(r) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1878 is divided by 16.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let v(x) = x**3 + 72*x**2 + 928*x - 332. Calculate v(-55).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand 3108*v**2 - v - 13*v**4 - 3108*v**2 + 2*v**5 + (2*v**4 - v**4 + v**4)*(0*v - 2*v + 0*v).\nAnswer: -2*v**5 - 13*v**4 - v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let s = 3 + 10. Let q = -39 + 41. Suppose 0 = 2*i - 5*d - 122, 3*i - 3*d - 157 = -q*d. Calculate the remainder when i is divided by s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -3637 (base 9) in base 8?\nAnswer: -5223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 7652515529 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let l(a) = a**3 - 11*a**2 + 13*a + 2. Let c(t) = t**2 - t + 10. Let j be c(0). Let q be l(j). Is q greater than or equal to 31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 12*((-10)\/(-75))\/(((-6)\/(-3))\/(-10)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.1 in -2\/9, 5, 20, 7\/9, 0.1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 3\/2398 and 48\/763?\nAnswer: 16786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Sort -1565, 4, 7 in ascending order.\nAnswer: -1565, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -54*l + 56*l - 12. Suppose -140 = -l*k - 14. What is the greatest common divisor of 315 and k?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 456*p + 474 = 377*p for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -119\/234 and -149\/48360.\nAnswer: 145080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is -3\/550263319 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many litres are there in 276134.9 millilitres?\nAnswer: 276.1349","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*a - 2*m - 18, 7*a - 2*a - 5*m - 15 = 0. Suppose -3*x - 12 = -3*l, 3*x + 1 = -l + 5. Let v = l + a. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -68451272 and -14.\nAnswer: 958317808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let m = -8054 + 8057. Solve 2*z - m*l + 30 = -z, -5 = -3*z - 4*l for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 93.955 and 0.3.\nAnswer: 28.1865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 - 3 + 4)*(0 + 0 - 2*x) + 0 + 2*x + 0 + 4*x - x - 5*x + 7*x - 2*x - 3*x - 2*x - 3 + 3 + (0*x - x - x)*(4 - 5 + 3).\nAnswer: -10*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let p(d) = 1. Let y(j) = j - 4. Determine 6*p(s) + 2*y(s).\nAnswer: 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from nmnmqmmnmonnommqmmq. What is prob of picking 1 o and 3 m?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let v = 179 - 188. Does v = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {o: 2, a: 2, g: 1}. Give prob of picking 2 o.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Round -3299510 to the nearest ten thousand.\nAnswer: -3300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 134*v**5 + 4*v + 2*v - v**2 + 0*v**2 + 32*v**5 wrt v?\nAnswer: 9960*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(t) = 2*t. Let s(x) = -20416*x. Calculate s(z(u)).\nAnswer: -40832*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 27776 and 4?\nAnswer: 27776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 667 minutes before 8:15 PM?\nAnswer: 9:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose p - 32 = -3*a - a, p + 13 = 5*a. What is the least common multiple of p and 33?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(c) = 3*c. Suppose 63 = 5*m - 2*m. Let s(l) = -4*l - 21 + m. Determine o(s(v)).\nAnswer: -12*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Does 2247 divide 2583568?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 8338129?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3452 = -7*o + 2169. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15*c + 91 - 1 = 0. Let y be (4\/c)\/(477\/81 - 6). Solve 0 = -0*a + 2*a - 2*l, 2*a - 4*l = -y for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_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: Put -19, 5\/459, 29 in ascending order.\nAnswer: -19, 5\/459, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 216 (b) 4 (c) -0.35 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -13*s**3 - 2*s**3 + s**3.\nAnswer: -14*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from xapuxppppcxpx. What is prob of sequence cpa?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*k**4\/5 - 3708*k**3 + 443808*k**2\/5 = 0. What is k?\nAnswer: 0, 24, 9246","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is -52973 >= -52972?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let s(p) = p**2 + 2*p - 1. Let i be s(-3). Suppose 4*j = 5*f + 113, 7*j - i*f = 3*j + 122. Is j a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*s - 7*q = -9*q + 246, -3*s + 4*q - 369 = 0. Which is the closest to -1.1? (a) 1\/5 (b) s (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-360)\/(-1650))\/(5\/25)\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -5 + 35 - (-66 + 177 + -65)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t(y) = 10*y - 1. Let h be t(-2). Let w = h - -41. Solve 4*v = -0*v + w for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) = r**3 - 2*r**2 + 77*r - 304. Determine l(6).\nAnswer: 302","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*x**2\/2 - 18102*x - 72432.\nAnswer: 3*(x - 12072)*(x + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Sort -47, 0.2, -0.2, 0.035 in increasing order.\nAnswer: -47, -0.2, 0.035, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let s = 0.75 - 9.75. Let f = s + 10.025. Let q = 0.065 + f. What is q rounded to one decimal place?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -9284 - -18736. What is the hundreds digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((4\/(-6))\/((-42)\/(-18)))\/1.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 1221331 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 404, 772, 1112, 1430, 1732?\n\"Answer: v**3 - 20*v**2 + 421*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-3*(sqrt(112)*-1 + sqrt(112)) + sqrt(112) - sqrt(7)*-1*4*4) + (sqrt(35)\/(-2*sqrt(5)) + sqrt(28)\/(sqrt(16)\/sqrt(4)))*2)**2.\nAnswer: 3087","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let j = -209 - -215. What is the remainder when 27 is divided by j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 z, 1 d, 1 s, and 1 t when four letters picked without replacement from {d: 6, s: 2, n: 2, z: 1, t: 1}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let q = 124 - 124. Solve q = -4*o + 6 + 2 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 79812810?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 4*a**5 - 42*a - 621 + 621 wrt a?\nAnswer: 80*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.9992888mg to tonnes.\nAnswer: 0.0000000009992888","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.26 and 0.31.\nAnswer: 0.0806","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let o(w) = -2*w - 195. Let g(y) = y**2. Calculate o(g(f)).\nAnswer: -2*f**2 - 195","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 74 and 0.05?\nAnswer: 3.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 0.4 (b) -0.3 (c) -3\/7 (d) -38 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Factor z**4\/2 + 1773*z**3\/2 + 1047843*z**2\/2 + 206425071*z\/2.\nAnswer: z*(z + 591)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 1363837 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Sort 369953840, 0.1, -3.\nAnswer: -3, 0.1, 369953840","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let n = 12 + -7. Let s = 6 - 6. Let t(m) = 6 - 4*m - 3 + s*m + 3*m. What is t(n)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -3 - -31?\nAnswer: 2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let d = 2 + -2.1. Let a = d - 1.9. Let o(t) = -2*t**2 + 4. Let i be o(2). What is the smallest value in a, 5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -346 + 402. Suppose -c*n + 637 = 21. What is the remainder when 1021 is divided by n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*c + 90 = 4*c. Let z be 7 - (5 - (-25 + 5)). Let v = c - z. Solve v*u = -u + 2 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:30 PM and 1:21 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let v(i) = -18378*i + 18394. Suppose -4*c = 3*b - 234, 2*b = c + 4*c + 179. Calculate the remainder when b is divided by v(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*u - 4 = 11. Suppose -2*o + 69 - 4 = -u*c, 2*o - 4*c - 68 = 0. Let n be (1\/2)\/(2\/o). Solve -4 = -n*s + 3*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*j + 20 = 0, 32 = -0*v + 2*v + 4*j. Let g = 29 - 17. Suppose -g*z = -v*z. Do z and -2\/31 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {m: 5, i: 14}. Give prob of picking 3 m.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let m(u) = 4*u**2 - 10*u + 16. Let g be m(5). Let j = 110 - g. Suppose j = -7*o + 352. Is o a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -46*i**2 - 3654*i + 1827*i + 1827*i.\nAnswer: -46*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let i be (2 - 0)*(-30)\/(-4). Let g = i - 11. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 3 - 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: -732451 * -0.03\nAnswer: 21973.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let r = -678.352 - -676. What is r rounded to 1 decimal place?\nAnswer: -2.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 27026790 to the nearest integer?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let x(s) = s**2 - s + 2. Let b be x(4). Suppose b = 4*j + 6. Solve 2*d - 4*o = -j*d - 4, -5*d = -o + 13 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(c) = -7*c**3 - 2*c + 2. Let b be f(1). Let x(j) = -7*j**2 + 6*j + 6. Let u(v) = 7*v**2 - 7*v - 7. What is b*x(a) - 6*u(a)?\nAnswer: 7*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let f(w) = 932*w**3 + 2*w - 1. Is f(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 1\/23, 0.3, 4\/7, 40\/207, -4 in descending order.\nAnswer: 4\/7, 0.3, 40\/207, 1\/23, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2 in 29780, -0.4, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 127 a factor of 22019?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 4*1*10\/220?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 130 = 5*l + 45. Let v = l + -21. Calculate the remainder when 44 is divided by 1\/4 - 59\/v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be (12\/(-8))\/(3\/(-4)). Suppose 18 = -5*v - 3*i, 0*v = -z*v - 4*i + 4. Let h be 5 + v - (-82)\/1. Calculate the highest common factor of 9 and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-6*(sqrt(200) - sqrt(200)*2) + sqrt(200) + (sqrt(200) + (sqrt(200)*1 + sqrt(200))*-1 - sqrt(200)))\/((sqrt(400)*2 - sqrt(400))*6))**2.\nAnswer: 25\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 3641 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*(5*-6*sqrt(847)*-1)**2.\nAnswer: 1524600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 163, 329, 497, 667, 839, 1013?\nAnswer: 1189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let p = -298\/7 - -4183\/105. Let g = p - -12\/5. Are g and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -54564 - -200565?\nAnswer: 113001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many microseconds are there in 78099.17 minutes?\nAnswer: 4685950200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: -2 times 0.10227\nAnswer: -0.20454","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: (0 - 1) + 5 - -1\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (-8*q + 3*q + 2*q)*(2 - 2 - 2).\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 546\/104 + ((-17)\/4 - -5).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify c\/c**(-2)*c**1*c**4*c**(-4)*c assuming c is positive.\nAnswer: c**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Round 0.000003818358535 to 7 dps.\nAnswer: 0.0000038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Put 2, -2, -125, 32, 2\/3, -22 in increasing order.\nAnswer: -125, -22, -2, 2\/3, 2, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: 1 + 3 + -4 - (11 + -6)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*n + 71 = 5*t - 5*n, 3*t - 20*n = 352 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let h be ((-220)\/3)\/((-3)\/(-9)). Is 5 a factor of 1\/4 + h\/(-16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(o) = -859*o + 2. Let v(q) = 31*q. Calculate v(k(g)).\nAnswer: -26629*g + 62","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((7\/70)\/1)\/((-2)\/12)*1680\/56?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h = 92\/21 + -14\/3. Which is the closest to 5? (a) -5 (b) 2\/7 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -63*t + 69*t - 300. Let i = t + -51. Let g(p) = 18*p**2 + p + 1. Give g(i).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(x) = -x - 1. Let p be (-2 - -3)*0 + 6\/(-42)*-35. Let w(j) = -15*j - 20. Calculate p*w(u) - 100*l(u).\nAnswer: 25*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many nanograms are there in 800894.2 kilograms?\nAnswer: 800894200000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o = 293 - 584. Let y = o - -519. What are the prime factors of y?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-2 - -11) + (-1 + 5 - 16) - 22?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c(q) = 20*q. Let o(f) = 18475*f - 425. Let p(j) = -261*j + 6. Let x(v) = -6*o(v) - 425*p(v). Calculate c(x(t)).\nAnswer: 1500*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -38724*r**2 + 19603*r**2 + 19128*r**2.\nAnswer: 7*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 5\/(5\/4) - -21*(-456)\/2772.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Convert -28631 (base 15) to base 8.\nAnswer: -375156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -3160 divided by 20?\nAnswer: -158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*p**4\/2 + 1435*p**3\/2 + 57495*p**2\/2 + 502565*p\/2 + 590450 = 0. Calculate p.\nAnswer: -241, -35, -7, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 10067.\nAnswer: 10067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-132)\/(-16) - -1 - (-14 + 244\/16).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Put 1, -1\/2, -1\/6, -1, -6\/17 in descending order.\nAnswer: 1, -1\/6, -6\/17, -1\/2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4*(0 + 4*(5 + 2*sqrt(2)))*-5)**2*-5.\nAnswer: -1056000 - 640000*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -322*a*j - 832746*a + 36*j wrt j.\nAnswer: -322*a + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 - 2*x**3 + 1)*(x - x + 2*x**2) + x**5 - x**2 + x**2 + (x - 2*x + 0*x)*(-2*x**4 + 1 - 1) + 2*x - 2*x - x**5 - 1 - 2*x**5 + 1.\nAnswer: -4*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 52 (b) -3 (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let c(z) = -z**3 + 2*z**2 - 2*z. Let n be (3 - 1 - 3) + 4. Let f(v) = -5*v - 3*v - 2*v**3 - 4*v + 3*v**2 + 9*v. Determine n*c(k) - 2*f(k).\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: 47 + -65 + (21 - -34)\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1121\/(-2065) + 16\/14 + -1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve o + 4*o + 4 = 2*c, 5*o = -5*c + 10 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence qqd when three letters picked without replacement from {d: 4, q: 7}.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Sum -0.03 and -1277.\nAnswer: -1277.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let u be ((-10)\/(-6))\/(3\/(-9)). Let y = -294 + 295. Let j = u + y. Sort j, -2, 0 in ascending order.\nAnswer: j, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4 - -1828?\nAnswer: 1832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 3838117417 to the nearest integer?\nAnswer: 61953","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let o = 6233 - 6231. Suppose 0 = -2*x - 6, 0*p = p - 5*x - 19. Suppose -f - 3 = -p. Solve -9 - f = -2*u - o*a, 5*u + a = 13 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 580*u - 8 + 15 - 7 to the form j*u + b and give j.\nAnswer: 580","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -d - 7*d - 6*d.\nAnswer: -14*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 3180, 3179, 3178, 3177, 3176?\n\"Answer: -y + 3181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*m + 18 = 3*p - 7*p, 5*m - 45 = 2*p. Is 28\/6*m\/6 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(m) = -m**2 + 7*m. Let k(x) = -x**2. Let y = 54 + -55. What is y*g(j) - k(j)?\nAnswer: 2*j**2 - 7*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 294 and 99093414?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -g = 5*k - 5141 + 1998, 5*g = 2*k + 15823. Suppose 0 = -5*j + g + 5337. What is j rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 589 minutes after 7:25 AM?\nAnswer: 5:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let t(w) = -w + 5. Let r be t(0). Suppose r*y + 10 = 0, 0 = -c + 5*c - 5*y - 18. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -19, 5, -5 in decreasing order.\nAnswer: 5, -5, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let t(g) be the third derivative of -2*g**5\/15 + 61*g**4\/24 + 5*g**3\/2 + 5*g**2 + 12*g. Let d be t(8). What is the closest to -0.1 in d, 3, 4, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 633 is divided by 619?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1401.\nAnswer: 3, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -569*d**2 - d**3 + 556*d**2 + 13*d**2 + 12*d.\nAnswer: -d**3 + 12*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let p = 1823541 - 1823505.109984. Let t = p - 35.72001599. Let g = t - 0.17. What is g rounded to 7 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(z) = -z**2 - z - 1. Let y be g(-1). Let v be y - (-2)\/((-2)\/(-15)). Let c = 19 - v. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: -3*(-2)\/(-9)*-6\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence qqyp when four letters picked without replacement from aaqgpglqylqggp.\nAnswer: 1\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 444548054 divided by 27143?\nAnswer: 16378","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let t = 173\/5 + -35. Let s = 11\/14 + 1\/21. Let j be ((-1)\/(-2) - 1)*-2. What is the biggest value in s, t, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 15660.\nAnswer: 2, 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -6*p - 23 + 119. Calculate the remainder when 74 is divided by p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (25\/(-25))\/(2\/((-2)\/(-7))).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q = 8393\/4 + -2036. Let u = -62 + q. Which is the nearest to 1? (a) 2 (b) u (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-54)\/(-3) + (-10 - -12). Suppose 32*s = z*s + 4104. What are the prime factors of s?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 52741?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:44 PM and 1:19 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let g = 0.3 + -0.5. Let v = 64 + -57. Suppose -4*m = -5*y - 13, -3 - v = -y + 5*m. What is the second biggest value in y, 2\/3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor s**3 - 14*s**2 - 3471*s + 97344.\nAnswer: (s - 39)**2*(s + 64)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let q = 39 + -36. Suppose -3*g + q = -4*d, -2*d - 3*g - 5 = -8*g. Suppose d*u + u + 1590 = 0. Round u to the nearest 100.\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 22924.\nAnswer: 2, 11, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 440 or 447?\nAnswer: 440","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 19799 is divided by 66.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let k(q) = 3*q. Suppose -6*r + 2*r + 24 = 0. Let g(x) = 6 - 2*x**2 - r. What is k(g(j))?\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Round 28135490 to the nearest one million.\nAnswer: 28000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -20546*o**5 + 157*o**4 + 20545*o**5 + 146*o**2 + 66*o**2 wrt o?\nAnswer: -60*o**2 + 3768*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -219*t - 316*t - 12936 = 81*t for t.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 104 minutes before 8:27 PM?\nAnswer: 6:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let o(a) = -a**2 + 24*a - 32. Determine o(14).\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 926 a factor of 124938698?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -19*o**5 + o**2 + 122*o wrt o.\nAnswer: -380*o**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let l(w) = w**2 + 4*w. Let b(j) = 2*j**2 + 5*j. Let u(d) = 4*b(d) - 5*l(d). Let i be 3\/3 - 0 - -1. Let s(f) = -f**2 + 2*f - i*f. What is s(u(c))?\nAnswer: -9*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b*b*b**(-6)*b*b\/b**(-2\/5))**26\/(((b\/(((b*b**(-1))\/b)\/b)*b)\/(b**(2\/3)*b))\/(b*(b\/(b\/(b\/(b\/(b*b**(-1\/3)\/b))*b*b)))\/b*b)**0) assuming b is positive.\nAnswer: b**(-659\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is b (base 12) in base 2?\nAnswer: 1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q(b) = -b**3 + 6*b**2 - 8*b + 14. Give q(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -26*m + 25*v - 56860 = -30*m, 5*v - 71075 = -5*m. Is 14215 at most m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -1575 greater than or equal to -1577?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let a(n) = 12*n**2 + 5*n + 5. Let m(d) = -13*d**2 - 3*d - 6. Calculate -7*a(z) - 6*m(z).\nAnswer: -6*z**2 - 17*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let o = 18073 + -8642. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1762953 to the power of 1\/2, to the nearest integer?\nAnswer: 1328","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -0.1 (b) 1\/4 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let w(r) = -15*r**3 + 5*r**2 + 5*r + 59. Let a(u) = -23*u**3 + 7*u**2 + 7*u + 89. Let c(v) = 5*a(v) - 7*w(v). Differentiate c(d) wrt d.\nAnswer: -30*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 21 - -2187?\nAnswer: 21a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate -331897824 divided by -6.\nAnswer: 55316304","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 245 + 28 = 25*t - 77 for t.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*r**3 + 4*r**2 - 4*r**2)*(6*r**2 - r**2 + r**2 + (0*r + 0*r - r)*(-30 - 12*r + 30)).\nAnswer: 36*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 1281 and 14303829?\nAnswer: 100126803","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -4 - 40a7?\nAnswer: -4100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*c - 2 = -6 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*i - i + 120 = 0. Suppose 2*y + i = 4*y. What is the remainder when 57 is divided by y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(152)*-1 - sqrt(152))\/sqrt(8) + sqrt(19) + -3 + sqrt(19) + sqrt(19)*-4 - (4*sqrt(19) + -5 + -4*sqrt(19) + 2))**2.\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*z + 71 = -495. Let f = 289 + z. Let i(j) = -j - 1. Give i(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 24508 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let h(v) be the first derivative of -157*v**2 + 378*v + 207. Find the first derivative of h(m) wrt m.\nAnswer: -314","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4034267580?\nAnswer: 2, 3, 5, 7, 1433, 6703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -421, -423, -425, -427, -429?\nAnswer: -431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 146*m**2 - 5 + 510*m**2 + 0 - 6 + 3 - 5*m wrt m.\nAnswer: 1312","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many nanoseconds are there in thirteen quarters of a microsecond?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 198b9 - -24?\nAnswer: 19921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((w\/(w\/(w\/w**0)*w))\/w**(-1\/3)*w**3\/w**6)\/(((w**(-2)*w)\/w)**(-3\/38)*(w*w**(-2)*w*w)\/w**(-4\/9)) assuming w is positive.\nAnswer: w**(-730\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let b(u) = -u**3 - 1. Let t(s) = -5*s**3 + 5*s**2 + 2*s - 4. Let y(r) = 4*b(r) - t(r). Let f be y(-3). Let v = f - -206. Does 28 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4*w**3 - 3*w**3 - w**3 + 3*w**3.\nAnswer: -5*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -545, -2230, -5039, -8972, -14029, -20210?\nAnswer: -27515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Find h such that 15*h**5 + 35*h**4 - 20*h**2 = 0.\nAnswer: -2, -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*t - 4*d + 37348, -13793 = t + 5*d - 4456. Let z = t - -466893\/50. What is the common denominator of 97\/14 and z?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-1 + 1)\/(1 + 1). Suppose o = -3*i + 2*i + 20. What are the prime factors of i?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 1248 + 740 + 1333 - 3797 + 4*t in the form h*t + a and give a.\nAnswer: -476","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 1449 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let u be ((-4)\/(-5))\/((-2)\/(-25)). Let c be 5\/u + (-10)\/(-4). Suppose -4*l = l - 3*n - 186, 4*l - 138 = -c*n. Does 14 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from iiisissiiisiiq. What is prob of picking 1 s and 1 q?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let l(w) = w**3 - 22*w**2 + 40*w + 1. Let f be l(20). Solve c = f, 0*j + j + 3*c - 3 = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -29\/40 and -39\/40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let a = -1530 - -1533. Suppose 0*w + 2 = 2*w. Sort -9, w, a, 4 in decreasing order.\nAnswer: 4, a, w, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 4 a when four letters picked without replacement from mmmaaaamaa.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify q**(1\/11)\/(q**(3\/2)\/q*q*q)*q**(1\/3)\/q*q**(2\/9) assuming q is positive.\nAnswer: q**(-565\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*x - 3*c, -c = 5*x + c + 14. Let j(r) = 35*r**2 + 5*r. Let s be j(x). Suppose 13*l - s = 11*l. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -878.745 rounded to the nearest 10?\nAnswer: -880","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is -1404 != -1386?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let z = -673 - -750.9. Let w = z - 3.9. Let f = w + -74.00152. Round f to 4 decimal places.\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 6800756.\nAnswer: 2, 1700189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let r = -29773 + 29777. Factor -25\/4 - 1\/4*i**r + 10*i - 2*i**3 - 3\/2*i**2.\nAnswer: -(i - 1)**2*(i + 5)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 28979?\nAnswer: 28979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let o = 200 + -203. Let a = 16 - 17. Sort a, 1\/3, -2\/9, o in ascending order.\nAnswer: o, a, -2\/9, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(h) = 12*h**3 + 136*h**2 + 45*h - 7. Give r(-11).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let x = 18 + -4. Is 8 a factor of x*2\/4 + 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Put together -15 and 1.9.\nAnswer: -13.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 1 + (0 - 4) + (-2 - -5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 121 minutes after 12:42 PM?\nAnswer: 2:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*t - 4*z + 1 = -3, 5*t - 3*z - 37 = 0. Suppose -5 = t*k, 5*k = 2*x - 12 - 11. Suppose -4 = -u - x. Let v(g) = -g**3 - 6*g**2 - 5*g - 2. Give v(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.5 and 45825.\nAnswer: 22912.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 615 smaller than 616?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of k**2 + 244*k - 2091.\nAnswer: 2*k + 244","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1 + (3 + -6 - -1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f(g) = 2*g**2 - 5*g + 142. What is the hundreds digit of f(-14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0000426 to six dps.\nAnswer: 0.000043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l**(-2\/3))**43 assuming l is positive.\nAnswer: l**(-86\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 48*(-154)\/(-924)*2\/(-1)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 185147 and 4?\nAnswer: 740588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 3437*n = 3451*n + 140 for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 700\/20 + (-118)\/59?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-4 + 3 - 2)*(3 - 3 - 3*c) + 3*c - 3*c - 2*c)*(-45*c**2 - 49*c**2 + 97*c**2).\nAnswer: 21*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let j = 54 + -47. Calculate the remainder when 31 is divided by j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0000004871648436 to seven decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Divide -7656 by -232.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*m - 30 = 6. Solve m*z - 8*z - 8 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2403 (base 7) in base 10?\nAnswer: 885","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 3.17 or 8\/260291?\nAnswer: 8\/260291","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: -0.125 * -0.4\nAnswer: 0.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve -303*k = -232*k - 1207 for k.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 472 minutes after 1:24 AM?\nAnswer: 9:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let p(s) = -s**2 + 8*s + 1. Let m be p(8). Suppose -c - 2*v = -4*c, 0 = -5*v. Suppose -3*n - 10 + m = c. Sort 0, 5, n in descending order.\nAnswer: 5, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 94789, 189594, 284399, 379204, 474009?\nAnswer: 568814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -9? (a) 1\/6 (b) 12265 (c) -4 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let a(d) = 7*d + 131. Let k(v) = 3*v + 65. Suppose 5*y + 3*z + 25 = 0, -2*y - 4*z + 265 = 275. Determine y*k(s) + 2*a(s).\nAnswer: -s - 63","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is next in 202, 577, 1204, 2089, 3238, 4657, 6352?\nAnswer: 8329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let a(z) = 33*z - 33. Let d(v) = -742*v + 742. Let j(m) = 112*a(m) + 5*d(m). Find the first derivative of j(u) wrt u.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(p) = -p**2 - 29*p + 5. Is 43 a factor of y(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from nkkkyyyyykk. What is prob of picking 1 n and 1 k?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(136)*2*4)\/(sqrt(32)\/(sqrt(4)*2)))**2.\nAnswer: 4352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let l(t) be the first derivative of -t**2\/2 + 2. Let n(i) = -i + 8. Let y be n(5). Let j(g) = 4 - y*g - 4. Determine l(j(d)).\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*r = z - 2*r + 5, 5*z = 5*r + 35. Let g be (-2)\/(-1 + (-2)\/(-3)). Suppose f = y - g - z, f = -y + 5. What is the greatest common factor of y and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {q: 4, s: 1, i: 4, w: 2}. Give prob of sequence iqi.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 39*b - 76 = 20*b. Put b, 0, -18 in descending order.\nAnswer: b, 0, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 664 minutes before 6:49 PM?\nAnswer: 7:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let v(r) = 8*r**2 - 8*r + 8. Let q be v(5). Let l = 505 - q. Let i = l + -6405\/19. Which is the third biggest value? (a) -4 (b) -0.4 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: (148644\/(-3233007))\/((4\/6)\/2)\nAnswer: -4\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((x\/(x\/x**8))\/x**(-4))\/(x*(x*x**(2\/5)\/x)\/x)**1 assuming x is positive.\nAnswer: x**(58\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 4*k - 14*k + 30 - 21 wrt k.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 5003102?\nAnswer: 2, 13, 337, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 82200 is divided by 26?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*x + 20 = 5*l, -l - 5*x + 0*x = -4. Suppose 57*f + 147 = 147. Solve 2*q + l = f, -2*c + 0 + 4 = q for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 72.905 - -0.095. Let i = -72.99999933 + m. What is i rounded to seven dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -24, -1, -57, -16 in decreasing order.\nAnswer: -1, -16, -24, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let b(j) = -j**2 - 6*j - 3. Let o(d) = d + 1. Let f(i) = b(i) - o(i). Let r be f(-6). List the prime factors of 3\/((-9)\/(-30)) - r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(n) be the third derivative of n**7\/2520 - n**6\/360 - n**5\/20 + 22*n**2. Let k(t) be the third derivative of c(t). Give k(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 21.123 + -42.12275. Let q = -21 - n. What is q rounded to 4 decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 71\/321 and (103\/7)\/(0 - 10\/(-7)).\nAnswer: 3210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 31 = 5*s + 6. Let r(o) = -13*o - 5. Let z(v) = -72*v - 28. What is s*z(q) - 28*r(q)?\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: -2*2\/5*535\/214\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l(a) = -a**3 - a**2 + 2. Let y be l(-2). Let c be 24\/(-14) - y\/21. Let b(f) be the third derivative of -f**5\/20 - f**4\/8 - f**3\/6 - f**2. Give b(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s*s*s**1*s\/(s\/(s**(-1\/7)*s)))**(1\/13)\/((s**(1\/2))**(-3\/10)\/(s*s**(2\/11)*s**(-7))) assuming s is positive.\nAnswer: s**(-107537\/20020)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-69)\/((-529)\/23)*(-1)\/3*6.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a(n) = -n**2. Let g(w) be the third derivative of w**5\/15 + 7*w**2. Give g(a(t)).\nAnswer: 4*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 101885741 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 4 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 571816036?\nAnswer: 2, 11, 103, 126173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let g(f) = -f**2 + 4*f - 6. Let p be 6\/(0 + 1) + (2 - 3). What is g(p)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -12*z**3 + 12*z**3 - 4*z**3 + (-219 + 77 + 1)*(-z**3 + 0 + 0) to l*z + w*z**2 + i + y*z**3 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 382, 764, 1146, 1528, 1910, 2292?\nAnswer: 2674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-33)\/6 + -23 + 29?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -x - 4*x = 4*h - 28, -2*h + 3*x = 8. Suppose 3*g + 2*b = -g + 22, g - 3*b - h = 0. Suppose -4*a = -d - 55, -3*a - d + g = -45. Does 15 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*s - 3*m = 19965, 22*s + 9984 = 24*s - 2*m. What are the prime factors of s?\nAnswer: 3, 1663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be 66\/(-110) + 18\/5. Suppose -x*t + 18 = 6*t. Let m be 8\/3 + 3\/9. Solve -t = l + m for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 22, 28, 38, 58, 94, 152?\nAnswer: 238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -0.02 or -39\/693562?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 2481051 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from deddu. Give prob of picking 1 u and 1 e.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*x + a - 313 = 0, -5*x - 2*a - 287 = 114. Let t = x + 85. Solve 2*f - t = 5*f, 3*n - 3*f - 9 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -t - 917 = -4*n + 360, 2*n = -5*t - 6407. Let l = 1289 + t. Calculate the remainder when (-2290)\/(-18) + (-4)\/18 is divided by l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((z**12)**(9\/10))**(4\/19) assuming z is positive.\nAnswer: z**(216\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is -245\/89 < -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 31 - 33 = -2*g - 4*y, 0 = -4*g - 5*y + 19. Solve 5*f + 5*c + 24 = -g, f = 4*c + 8 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (6*(sqrt(130) + sqrt(130) + sqrt(130)*1 - sqrt(130)))\/(sqrt(320)\/sqrt(2)).\nAnswer: 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Express -3*a**4 + 9*a**2 + 889294*a**3 - 5*a**4 - 2 + 24*a**2 - 889294*a**3 as y*a**4 + d*a + b + z*a**3 + c*a**2 and give y.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-1259)\/25*(-15)\/156. Let y = 6\/65 - a. Calculate the common denominator of y and 121\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.6 - 166.5.\nAnswer: -165.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 2927, 2925, 2923, 2921, 2919, 2917?\nAnswer: 2915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is -137 (base 14) in base 15?\nAnswer: -115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 177182 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:57 AM and 8:46 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*j = -2*d + 8, -3*j = -d + 3 + 6. Let i = d - -2. What is the second derivative of 8 - p - i - 4*p**4 wrt p?\nAnswer: -48*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 1632 - 1632.2. Which is the closest to -0.2? (a) -2\/9 (b) 0 (c) j (d) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is one ninth of a day in seconds?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Round 26966800 to the nearest one million.\nAnswer: 27000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find a, given that 2*a**2\/5 + 739484*a\/5 - 35962542 = 0.\nAnswer: -369985, 243","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let x = -481 + 486. Let f = -0.3 - 0.3. Let z = 0.1 + f. Which is the smallest value? (a) z (b) -9\/2 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 214458.\nAnswer: 2, 3, 31, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 43306966 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Round 10287372 to the nearest 10000.\nAnswer: 10290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let l(c) = c**2. Suppose -7 = v - 5*d, 0*d - 17 = -5*v - d. Suppose t = v*t - a - 76, -3*t = 5*a - 114. Let p(m) = -8 + 6 - 7*m**2 + t*m**2. Calculate p(l(j)).\nAnswer: 31*j**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let n be 3 - (0 - -4) - -16. Solve -5*d = 4*x - 9, 5*d - 3*x - n - 22 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(o) be the second derivative of -o**4\/3 - 5*o**3\/3 - 5*o**2\/2 + 8*o. Let m be i(-7). Let c = 92 + m. Which is smaller: -38 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(j) = -2*j**2 + 2*j. What is v(-2)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((o\/o**(2\/9))\/o*o*o*o**(2\/7)*(o**3\/o)\/o**1)**(-29\/4) assuming o is positive.\nAnswer: o**(-5597\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 42 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 4642? (a) 9\/35 (b) -1\/4 (c) 0.016\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 32 and 176?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 0.06623153 rounded to 2 decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let a(k) = 36223723*k. Let z(f) = 2*f**2. What is z(a(w))?\nAnswer: 2624316215961458*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Does 3 divide 75951?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*m + 3*t = 17, 0 = -5*m + m - 632703*t + 632724*t - 139 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 14, 46, 108, 206, 346, 534, 776, 1078?\nAnswer: 1446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -3 + -b0?\nAnswer: -b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*x - 3*v + 34 = 0, -245*x - 5*v = -253*x. Let j = -0.3 - 0.1. Which is the fourth biggest value? (a) x (b) -0.2 (c) 1\/3 (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 95 a factor of 108522300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let n(z) = -13*z**2 + 3*z - 37. Let g(o) = -14*o**2 + o - 43. Let a(k) = -4*g(k) + 3*n(k). Let d(u) = -4*u**2 - u - 15. Calculate -2*a(s) - 9*d(s).\nAnswer: 2*s**2 - s + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let d(j) = -j - 5. Suppose -6*a + 0 = -6. Suppose 13 - a = -3*i. Calculate d(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(g) = 1486473*g**2. Let o(r) = 2*r**2. What is o(x(l))?\nAnswer: 4419203959458*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let n(s) = -582*s. Let x(g) = -g**2. Give x(n(t)).\nAnswer: -338724*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*o - 17*o - 13*o - 6*o - 3*o.\nAnswer: -41*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let q(w) = 12*w + 44. Let k(i) = 10*i + 43. Give 5*k(z) - 4*q(z).\nAnswer: 2*z + 39","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 l and 2 j when three letters picked without replacement from llllljllljll?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let l = 0.1 + 0. Which is the nearest to 1? (a) l (b) -2\/19 (c) 4\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(p) = -p**3 + p**2 + p + 3. Suppose 12*a - 48 = 8*a. Let b be (2 + (-28)\/a)*-9. Determine t(b).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*v = -2*w - 3, 5 = 4*w - 10*v + 5*v for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1125.840494 - -4.7787.\nAnswer: -1121.061794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -9 + 1 - 2278*i + 8 + 2812*i - 15*i**2 to the form f*i + o + a*i**2 and give f.\nAnswer: 534","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Does 10966 = 10967?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let y = -2081 - -2103.53. Let m = 23 - y. What is m rounded to one dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 101110001100 - 111100111?\nAnswer: 100110100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Add together -647 and 0.117.\nAnswer: -646.883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from jqslrlrlrorq. Give prob of sequence rs.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*t + 5*r + 10 = -0*t, -214*t + 25*r - 24*r = -647 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -30900732*p**6 + 2*p**5 - 101633040*p**2 wrt p.\nAnswer: -3708087840*p**3 + 120*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let v(f) = f**2 - 7*f + 4. Let i be v(10). Suppose 5*s = 21 + i. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*p + 16 = 11*i, 332405*i - 8 = -2*p + 332404*i for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -3209 or -3211?\nAnswer: -3211","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 11694 and 10?\nAnswer: 58470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) = f**3 - 18*f**2 + 16*f + 36. What is o(17)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (0 - 5 + 2)*(-4*i**2 - 7*i**2 - i**2) + 0*i**2 + 0*i**2 - i**2 + 5*i**2 - 4*i**2 - 3*i**2 to the form h + q*i + k*i**2 and give k.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -4\/5 (b) -16996311 (c) -1\/12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3481 is divided by 1101?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1\/3 in 3, 7, 50\/69, -92?\nAnswer: 50\/69","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 184 minutes after 1:48 PM?\nAnswer: 4:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let h(j) = -2*j + j + 0*j**2 - 1 + 0 + j**2 + 2*j**3. Give h(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 21095 times 2.96?\nAnswer: 62441.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let w be ((-160)\/(-35) - 5) + 174\/14. Let l(s) = -s**3 + 6 + 7*s - 2 + 26*s - s + 12*s**2. Let y be l(14). Calculate the greatest common factor of w and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -5 - -18. Let i = p - -17. What is the highest common divisor of i and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 210532744?\nAnswer: 2, 26316593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let g = -15 - -10. Let i be (-7 - -4 - g) + -30. Let s = i + 35. Is s a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -10b2 - -44?\nAnswer: -106e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-6)\/15)\/((-7)\/(-525)*5).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-175)\/14 - -14)\/((-1050)\/1540).\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, 54, -2.\nAnswer: -2, 1, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let r(o) = -12*o. Let y(w) = 19*w. Let s(v) = -8*r(v) - 5*y(v). Let t(a) be the first derivative of 2*a**2 + 1. Determine s(t(u)).\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 18568793?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 0.2599045 rounded to 4 decimal places?\nAnswer: 0.2599","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Express -264 + 18*s**2 + 264 in the form f + m*s + y*s**2 and give y.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose a + 2 = 5*g, 0*a - 11 = -3*a - 2*g. Factor 1\/2*h**2 - 1\/4*h + 1\/4*h**a - 1\/2.\nAnswer: (h - 1)*(h + 1)*(h + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14 = -5*b + 1. Let t(u) = 2*u - 5. Let n be t(5). Suppose -2*x + n = -x. What is the remainder when x is divided by b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {w: 1, h: 1, b: 2, o: 1}. Give prob of sequence hbb.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 69*y - 13 = 82*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 120950 and 450.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let q(n) = -404004*n - 40. Suppose 220 = 9*s - 31*s. Let p be q(s). Round p to the nearest one hundred thousand.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(g) = -2*g - 11 + 11. Let o(l) = -6*l**2. Determine r(o(p)).\nAnswer: 12*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let o(m) = 7697*m**2 - 5*m - 6. Let y be o(-1). Let k = y + 1870. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(o) = -3*o + 63. Let j be i(-36). Calculate the highest common divisor of 190 and j.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1606085 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-17)\/(-187) + (-42)\/(-22). Suppose a*y - 12*y + 1760 = 0. Calculate the highest common factor of 22 and y.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -49*z + 66 = -47*z. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 361 = 106*o - 125*o. Is -96\/5 <= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1000110110011 (base 2) in base 7?\nAnswer: 16132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*b**3\/7 - 276*b**2\/7 + 1780*b\/7 - 1500\/7 = 0. What is b?\nAnswer: -75, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: (31 - 19)*(-2)\/8\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -12 + 16. Suppose -j*p + p = -240. What is the highest common factor of 16 and p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -78*n**3 + 87*n**2 + 17*n + 358.\nAnswer: -468*n + 174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -3, -0.555, 0.5?\nAnswer: -0.555","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let o be 2\/6*3\/(-2). What is the closest to 0.3 in 2\/11, -2\/7, o?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 87612.44 milligrams to tonnes.\nAnswer: 0.00008761244","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*m - 53 + 120 = -6*p - 196, -23 = p - 5*m for p.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is -1 at most as big as 1\/4250128?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let l(a) be the second derivative of 0*a**2 + 3*a + 0 + 1\/12*a**3 + 1\/16*a**4 + 1\/80*a**5. Factor l(f).\nAnswer: f*(f + 1)*(f + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 41744?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 84*k - 270*k + 116*k + 1350 = -95*k for k.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find m such that 16*m**5 + 123820*m**4 - 7898504*m**3 - 22471344*m**2 - 12358368*m = 0.\nAnswer: -7802, -2, -3\/4, 0, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*p**2 - 2*p**2 - 11*p**2)*(6*p**2 - 21*p**2 - 6*p**2).\nAnswer: 273*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*y = -5*j - 17, 28*j - 25*j - 27 = -5*y. Let x(m) = 7*m**2 - 12*m + 36. Is 8 a factor of x(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 4, 24, 44, 64?\n\"Answer: 20*m - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -5 + 68 - 8 - (-6 + (2 - -10) + -10)?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 19114250 rounded to the nearest 10000?\nAnswer: 19110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 8 - (1 - (5 - 6))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express (-128*s**2 + 71*s**2 - 257*s**2)*(1 + 0 + 1) in the form g*s**2 + o*s + n and give g.\nAnswer: -628","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1390*r + 14*r**3 - 1390*r - 3*r**3.\nAnswer: 11*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is next in 8, 29, 102, 257, 524, 933?\nAnswer: 1514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 996846 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 2703, 8714, 18091, 30828, 46919, 66358, 89139?\nAnswer: 115256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1039326.\nAnswer: 2, 3, 83, 2087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in 2, 41, -5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1810745 - 310*a**2 + 54*a**2 - 1810745.\nAnswer: -256*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4 + ((-5 + -1 + sqrt(2057)*1)**2 - (((sqrt(2057) - ((sqrt(2057) - -4*sqrt(2057)) + sqrt(2057))) + 4)*-3)**2))*6.\nAnswer: -2765280 + 22968*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -102 - -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Put 4273, -1, 0, -0.1, -4 in decreasing order.\nAnswer: 4273, 0, -0.1, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Does 20 divide 157960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let p be ((-6)\/28)\/(8\/16). Let r be 4 - 6 - 1*-7. Suppose r = t - 6*t. Is t <= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -417*l - 178*l - 22*l + 27*l - 409*l as p + z*l and give z.\nAnswer: -999","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 171.9942903 seconds in weeks?\nAnswer: 0.00028438209375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify 0 + (0 + -5*(-3 + (-1 + sqrt(1900)*-2 - 1*(-1 + sqrt(1900))))**2)*1.\nAnswer: -85545 - 900*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(38)*-1*1)\/sqrt(2) + sqrt(171)*-1 + 2*sqrt(684) + sqrt(684).\nAnswer: 14*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -46098*n**2*x - 57*n**2 + 356*n - 1 wrt x?\nAnswer: -46098*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 109\/72 and 47\/44?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*p + 16, p - 7 = 3*c - 15. Solve -c*w - s = 22, 0*s + 5*s = -10 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2 + 2 + (-1*sqrt(468) + 3 + 2)**2.\nAnswer: -60*sqrt(13) + 493","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 292576 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let x(p) = p**2 + 5*p - 1. Let v(f) = -f**3 - f**2 - 3*f + 1. Let c be v(2). Is x(c) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 73 - -87. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b\/b**24)**(-3\/4)*b**23\/(b**30\/b) assuming b is positive.\nAnswer: b**(45\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) 1 (b) 1\/12 (c) -0.09082 (d) 16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let c(o) = 288*o**2 - 2*o + 4. What is the tens digit of c(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: -4 - (360\/(-32) + 7)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 112*j + 9*j**2 + 83*j - 13*j + 8*j**2.\nAnswer: 17*j**2 + 182*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 110836 is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let g = -3219 + 3219.4. Let b = 0.01 + -0.08. Put b, g, 1\/4 in ascending order.\nAnswer: b, 1\/4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*d - 6 = 3*g - 0*g, 5*d + 17 = 2*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*c + 2*s + 43, 3*c - 2*s = 69098 - 69061. Factor 26\/17*y - 6\/17*y**2 + 30\/17 - 2\/17*y**c.\nAnswer: -2*(y - 3)*(y + 1)*(y + 5)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 85 and 3757085.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let o = 7 + -3. Factor 5*x**4 - 2*x**o - 5*x**2 + 1 - x**2 + 2.\nAnswer: 3*(x - 1)**2*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*n - n - 11 = -5*o, 4*o - 19 = -5*n. Let j be (-506)\/(-80) + 4 + n. Let g = -237\/10 + j. Find the common denominator of g and 55\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 315 and 90.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*n - 910 = -5*v, 5*n - 3*v - 1344 = 2*n. Let r be (1 - -6)*(-1 + 2). Suppose r*u - n = 2*u. What are the prime factors of u?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(j) be the first derivative of 849*j**4\/4 - 1136*j + 237. Find the first derivative of n(u) wrt u.\nAnswer: 2547*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -190*(-10)\/75 + 4*(-3)\/36.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let x(q) = q**3 + 7*q**2 - 2*q + 4. Let g = -4 + 4. Let s = -7 + g. Does 15 divide x(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 7\/8 of a micrometer in nanometers?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m = -8.761 - -8.8. Let v be 10\/(-66) - 3\/(-9) - (-308 + 308). What is the third smallest value in v, -4, m?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(u) be the second derivative of -u**5\/20 - 7*u**4\/12 - u**3 - 2*u**2 + 7*u. Determine d(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 522 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 6? (a) -10 (b) 5 (c) 0.3 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 1 (b) -2493 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-1 + y + 7 - 6)*(3197 - 6*y**2 - 3197) to the form p + x*y + g*y**2 + u*y**3 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let z(n) = n**2 - n + 2. Let m(c) = -c**3 - 3*c**2 - c + 242. Let k(j) = m(j) + z(j). Does 51 divide k(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be ((-48)\/20)\/((-2)\/342500). Round c to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 2*b**2*z + 1483*b**2 - 2*b - 43148*z - 6 wrt z.\nAnswer: 2*b**2 - 43148","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 846*z**5 - z**2 + 534.\nAnswer: 50760*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let j = 6 - 8. What is the closest to -0.3 in j, 0.2, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ror when three letters picked without replacement from {o: 6, r: 13}?\nAnswer: 52\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 297795?\nAnswer: 3, 5, 19853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Convert 2 (base 14) to base 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 164 (base 9) to base 11\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z(p) = -3*p + 18. Let w be z(7). Let h be -2 + w\/1 + 3 + 0. Let g(q) = q**3 + 6*q**2 + 6*q + 4. Let r be g(-5). Sort h, 5, r in descending order.\nAnswer: 5, r, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, 59, -9, -3, -1 in descending order.\nAnswer: 59, -1, -2, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: 48\/60*(-15)\/138\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -631, -626, -617, -604, -587, -566?\n\"Answer: 2*p**2 - p - 632","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -131*a + 156*a - 25 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -136 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let f = 760 + -788. Let o(r) = -r**2 - 29*r - 30. Give o(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 3244, 6116, 8992, 11872?\n\"Answer: 2*d**2 + 2866*d + 376","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let t(q) = q**3 + 21*q**2 + 4*q + 14. Let c(i) = -i**2 - i. Let m(f) = -3*c(f) - t(f). Let r be m(-18). Let b = -7 + 2. Put r, 1, b in descending order.\nAnswer: r, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3941 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -8*z + 3*z - 9*z + 2*z to o*z + b and give o.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 10625 divided by 625?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let b(p) be the third derivative of -p**8\/168 + 3*p**7\/35 + 11*p**6\/60 - 3*p**5\/10 - 5*p**4\/6 + 2665*p**2. Let b(c) = 0. What is c?\nAnswer: -1, 0, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 43963 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let m = 494 + -467. Calculate the remainder when 33 is divided by m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -4, 2254, 3035.9 in descending order.\nAnswer: 3035.9, 2254, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 35934?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from lehxhexmn. Give prob of sequence xhl.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 0.0865 (b) 2 (c) 71 (d) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand -11*q**2 - 12*q**2 + 7*q**2 + (3*q - 3*q - 2*q**2)*(1 - 2 - 1) + q**2 - q + q + (-2 + 2 - 1)*(12 - 33*q**2 - 12).\nAnswer: 22*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose t = -5*n + 21 + 10, 1 = n - 5*t. Let q(v) be the second derivative of -5*v**3\/6 + v**2 + 69*v. Let i(m) = -4*m + 2. Determine n*i(j) - 5*q(j).\nAnswer: j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q**(-4)*q**(8\/7)*q)**(11\/3) assuming q is positive.\nAnswer: q**(-143\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 17211608 to the nearest integer?\nAnswer: 258","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let y be (5\/4)\/(5\/(-40)). Let u be (-4 - 1)*2\/y. What is the nearest to u in 4, -0.2, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 65 + 0*x + 5*x - 9*x + 5*x as a + s*x and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ngo when three letters picked without replacement from osnsznznsnllnnzgsl.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let t be 47\/2 - 4\/8. Let h = t - -17. Let p = 217103 + -217095. What is the highest common divisor of p and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(a) = 105*a + 851. What is s(-8)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*m + 9 = 1, 0 = -2*y - 5*m + 28. Suppose -3*w + y = -2*w. Solve -x - w = 2*n, -2*x + 9 = -5*n - 19 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 18 divide 3263267?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve z = 5*j - 19, -5*z + 40 - 48 = 4*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 1763173627 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Factor 0*d + d**4 + 0 + 1\/5*d**5 + 0*d**2 + 6\/5*d**3.\nAnswer: d**3*(d + 2)*(d + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5 divided by -3909747?\nAnswer: -5\/3909747","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence qk when two letters picked without replacement from {u: 1, q: 2, k: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence yng when three letters picked without replacement from mmqqnbmqqmyg.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let k(t) = 2*t + 9. Let l be k(-6). Let f(o) = o**2 - o. Let q(x) = 4*x**2 - 6*x - 1. Let w(a) = l*f(a) + q(a). Let i(c) = c + 1. Calculate -3*i(y) - w(y).\nAnswer: -y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -8 (b) -8.6 (c) -0.5 (d) 1\/4 (e) -2\/15 (f) 2\/7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify v\/((v*v**17)\/v)*v**43*(v\/(v*v*v\/(v\/v**(-29\/5))))\/v**(7\/8) assuming v is positive.\nAnswer: v**(1237\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let w = 0 - 5. Suppose -h - 1 = -0*h. Suppose 4*s + 3*r = -2*r + 24, -5*s + 17 = 3*r. Sort s, w, h in decreasing order.\nAnswer: s, h, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 6? (a) 2\/3 (b) 0 (c) 2 (d) 35750\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 5 (b) -1 (c) -1\/4 (d) 0 (e) -4 (f) 10610\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 3 + 13?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Express -194*n**2 - 130*n**2 - 23*n**2 + (-16*n**2 + 51*n**2 - 28*n**2)*(-5 + 5 + 1) in the form d + b*n + v*n**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00000230366 to six dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((f**4*f)\/f)\/(f**(1\/4)\/f)*(f*f\/((f*f\/(f\/f**(-4\/3)))\/f)*f)\/(f**(1\/4)*f*f*f) assuming f is positive.\nAnswer: f**(35\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((y**(-1)\/y**(-2))**(-4\/21))**47 assuming y is positive.\nAnswer: y**(-188\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Express 1967 - 513*u - 960 - 1006 as g + v*u and give v.\nAnswer: -513","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*5*((sqrt(252) - sqrt(7)) + sqrt(7) + -5)**2 + -1 + ((sqrt(448) - sqrt(448)*2) + 2 + sqrt(448) + 6*sqrt(448)*2)**2.\nAnswer: -516*sqrt(7) + 68670","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 2478 and 2832.\nAnswer: 19824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 338074?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 13*(-8)\/13520*10.\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence cn when two letters picked without replacement from ncccccepncccctcpcpe?\nAnswer: 11\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let y(o) = -5*o**2 - 3*o + 9. Let q(t) = -t**2 + t. Let p(f) = -4*q(f) + y(f). Let c be p(-6). Solve 2*r + c = -r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(u) = 3*u**2 - u + 2. Let h(w) = 3*w**2 - 125*w + 5. Give -2*g(i) + h(i).\nAnswer: -3*i**2 - 123*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 237 minutes after 11:51 PM?\nAnswer: 3:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 1550698589?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 1 (base 14) in base 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*s - 3*s - 3*r = 13, 3*r = -2*s - 11. Let q = -386 - -454. Suppose s*u + q = 386. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 u and 1 a when two letters picked without replacement from {a: 1, u: 1, d: 1, i: 1, q: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 7640075?\nAnswer: 5, 305603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1609116 divided by -536372.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15 + 9 = 3*z. Let r(c) = 1 - 4*c + 5*c + 4*c. What is r(z)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -182 + 192. Suppose 0 = -4*a - 3*l + 150, 2*l + 43 = -9*a + b*a. Solve -6 = -37*q + a*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 666.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -273 = x - 99*x - 3311 for x.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Express -2*j**2 + 4*j**2 + 0*j**2 + (-3*j + 5*j - 3*j)*(19*j - 25*j + 30*j) as v*j**2 + s + k*j and give v.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -482787, -482622, -482461, -482304, -482151?\n\"Answer: -2*x**2 + 171*x - 482956","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-4)\/(-22) + 8\/(-44). Suppose f = 2*c - 3 - 3. Differentiate g**4 + 10*g**3 - 1 - 10*g**c - 1 wrt g.\nAnswer: 4*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine d so that -446\/7*d + 528\/7 - 80\/7*d**2 - 2\/7*d**3 = 0.\nAnswer: -33, -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 8\/((-11 - -9) + 4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -392 - -390. What is the nearest to r in 5, -3\/4, 1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*n = -4*n - 84. Calculate the common denominator of 2\/n*(-854)\/24 and ((-2)\/(-10))\/((-4)\/109).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 - 3 - 1)*(7*t**4 - 17*t**4 - t**3 - 16*t**4).\nAnswer: 52*t**4 + 2*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let x(n) = 6*n + 17*n + 26*n - 16*n + 13. Is x(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(m) = 6*m**3 - 4*m**2 + m + 3. Let j be z(4). Let v = j - 28. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 24642, -2, -0.3, 67.\nAnswer: -2, -0.3, 67, 24642","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1 + 7 = 2*u. Let s(v) = 27*v**2 + 2*v + 4. Is s(u) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(z) = z**2 - 13*z - 265. Let q be k(24). Which is the second biggest value? (a) -0.3 (b) 10 (c) 2\/3 (d) q (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = y - 2*n - 48, -3*y - 12 = 5*n - 167. Calculate the highest common factor of 10 and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 473 is divided by 20.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is -690449 < -690449?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 85 + 65 = -30*h. What are the prime factors of -95*(6 - h)*-1?\nAnswer: 5, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 5*p**4 - 10*p**2 + 5 = 0. Calculate p.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -479960218, -959920434, -1439880650, -1919840866, -2399801082?\nAnswer: -2879761298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 429 and 66.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*k + 3 + 7 = 0. Let x be 6\/(-1)*1\/k. What is the derivative of 0 - 10*p**3 + 7*p**x + 4 wrt p?\nAnswer: -9*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 14 - 12. Let k = 13 + -13. Which is the third biggest value? (a) z (b) k (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -401162*w + 401162*w + 3*w**2.\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 8 + -10 + (-1 - (-7 + 1))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g be 2\/((-540)\/(-792) + (-4)\/22). Suppose 4*n + 10 = r + 3, 0 = -g*r - 5*n + 7. What is the remainder when 59 is divided by r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 2 divide 14538?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Express (2 + g - 4 + 2*g**2 + 4)*(-76*g + 16 + 29*g - 33*g) in the form s*g**3 + u + l*g + w*g**2 and give w.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*l**4 - 213*l**3 + 4941*l**2 - 37179*l.\nAnswer: 3*l*(l - 27)**2*(l - 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let o = 3570.93 - 3554. Round o to the nearest integer.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -8\/211 or 0?\nAnswer: -8\/211","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 641 minutes after 7:21 AM?\nAnswer: 6:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let x(s) = -4*s + 3. Suppose -3*l + 0 = 3*w + 3, 4*w = -2*l - 10. Let a(v) = 229. Let q(z) = 534. Let c(n) = 7*a(n) - 3*q(n). What is w*c(b) + x(b)?\nAnswer: -4*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let j(v) = 3*v + 4. Let i be j(-3). Let f = 171\/5 - 34. Let t be (-1)\/3*(-1 + 2). Put t, i, f in descending order.\nAnswer: f, t, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-1318)\/(-5)*158\/(-8). Let p = -5211 - r. Find the common denominator of p and 62\/(-36) + (-372)\/558.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*z**3 + 174909*z**2 + 6991173*z - 22547781 = 0.\nAnswer: -58263, -43, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let x = 95 + -220. Let n = 125 + x. Let l be 2 - n*((-7)\/2 - -4). Solve -5*a - 30 = -5*m, a + m = -l*a - 10 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(v) be the second derivative of 3*v**7\/7 + 44*v**6\/5 + 194*v**5\/5 - 352*v**4\/3 + 256*v**3\/3 - 223*v + 2. Determine m, given that i(m) = 0.\nAnswer: -8, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1 + 1 + 329*k**3.\nAnswer: 329*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 517 at least 515?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let f be 39 + 3\/9*0. Suppose -3*o = -0*o - f. Let i = 0 + o. Is i a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: -7 + (3 - 2) - 0\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i be 0*(-1)\/(2 - 1). Suppose i = -x - 1 + 5. Suppose x*q - q = 15. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -4401935*p**2 - p + 444532 wrt p.\nAnswer: -8803870","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 2399 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let t be -1 + 4 + -4 - -6. Suppose 3*u - 2*z + 84 = u, 0 = -2*u - t*z - 84. Let f be (-24)\/u*14\/4. Solve 4*j - f*j = -4 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1\/3 in -5, -138, 10\/9, 0.26, 5?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let x(l) = l**3 - 4*l**2 - 3*l - 5. Let z be 24\/14 + (-4)\/(-14). Let b(o) = o**2 + 1. Let w be b(z). What is x(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2974 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let p = -161 + 167. What is the highest common divisor of p and 438?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(f) be the second derivative of f**7\/840 - f**6\/360 + f**4\/12 + 11*f**3\/3 + f**2\/2 + 3*f + 1. Let k(h) be the second derivative of m(h). Give k(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 114348 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let j(n) = -2839*n - 15. Let v(g) = -g. Give j(v(r)).\nAnswer: 2839*r - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*c - 12*c - 424 = 6*c + 83 for c.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: (8\/140 + 4 + (-83144)\/(-280))\/7\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -303 + 911\/3. Let y = -3 - -2. Let t be -1 - (1*-1 + y). Which is smaller: c or t?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 30 + -24.8. What is u rounded to 0 decimal places?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 28*c**3*z - 4182*c*z**3 - 131*c - 265*z**3 - 50510*z**2 wrt c?\nAnswer: 84*c**2*z - 4182*z**3 - 131","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -220102 or -220138?\nAnswer: -220102","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Round -0.12353848 to one dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y**(2\/33))**(1\/12) assuming y is positive.\nAnswer: y**(1\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -4\/13 in 1, -8\/6653, 2?\nAnswer: -8\/6653","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 1040115021 + -3?\nAnswer: 1040115014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -32*m = -44*m + 48. Solve k = t + 4*t + 20, 0 = 5*t - m*k + 35 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 5 + (40 + -85 - -92) + (0 + 0 - -9)?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange ((3 + 3 - 4)*(-5 + 1 + 3) + (-1 - 1 + 0)*(3 - 4 - 1))*(-8*c + 25*c - 16*c - 12) to the form t + d*c and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 2274519*l**5 + 4856216*l.\nAnswer: 45490380*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*a**4 + 184*a**3 - 3748*a**2 + 13640*a.\nAnswer: 4*a*(a - 11)*(a - 5)*(a + 62)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 2\/440*592\/(-32) and -45\/44.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(360) + sqrt(360)*-2*-6)\/sqrt(12)*-2)\/(-3*(sqrt(6) + sqrt(6)*3 - sqrt(6)) - sqrt(294)*-2).\nAnswer: -26*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*z + 2*z - 2*z**2)*(0 + 2 - 4)*(-7 + 29 + 14)*(-2 - 2 - 3)*(3 + 1 - 2).\nAnswer: -2016*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let x(c) = c + 1. Let s(w) = -2*w**2 - 2*w - 1. Suppose -30 + 27 = -3*d. Give d*s(o) + 2*x(o).\nAnswer: -2*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 1799.352576ns in weeks?\nAnswer: 0.00000000000297512","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k(y) = 2*y**2 + 197*y + 5. Let m(b) = b. Calculate k(m(d)).\nAnswer: 2*d**2 + 197*d + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 30*z + 11 + 3 + 5*z**2 + 9 + 8*z - 16 to y + p*z**2 + w*z and give y.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let x(b) be the first derivative of -b**3\/3 + 3*b**2 + 7*b - 1. Let p be x(6). Solve 4*u - 5 = p for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(i) = i**2 + 6*i - 1. Let b be z(-5). Let h = b + 4. What are the prime factors of 40\/6 + h\/(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(t) = 2*t - 1585. Let q(w) = -82*w + w**2 - 37*w + 119*w. Determine a(q(c)).\nAnswer: 2*c**2 - 1585","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is (12\/(2\/2))\/((-340)\/(-85))*-13?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 0.47 less than 0.32966721283?\nAnswer: -0.14033278717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 1904\/19973 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*z - 13 - 3 = 0. Let l be (-558)\/198 - z\/(-22). List the prime factors of (1\/l)\/(5\/(-825)).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1014 divided by -338.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 318063598?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from jgjjkbjjkgkjjk. What is prob of sequence kj?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 13124106\/945 - (68\/35 + -2) a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -11*r - 4*b - 54 = 0, -5 + 2 = -r - 3*b for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 30 + (-7 + 0 - 15).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor 579*l**3 + 67671*l**2 - 8424*l.\nAnswer: 3*l*(l + 117)*(193*l - 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 36455*o**6 + 69*o**4 - 501*o**2 - o - 253.\nAnswer: 4374600*o**3 + 1656*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let g**4\/2 - 17*g**3\/2 - 3*g**2\/2 + 53*g\/2 - 17 = 0. What is g?\nAnswer: -2, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let h = -1\/51 + 6\/17. Let i = 505.46 - 489.46. Let g = -0.7 - -4.7. What is the second biggest value in h, i, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 15*16\/960*-44?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*i + 1342 = 2*d + 1441, i = 43*d + 160 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let d(h) = -h - 9. Let v be d(-11). Suppose 5*n - 3 = -r + 2, -r - 2 = -v*n. Let b(u) = 3*u**2 + r*u**3 + u**3 + 4*u - 9*u. Determine b(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -37*b - 10 + 14 = -144 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -i**3*k*u**2 - i**3*u**2 + 12*i**2*k*u**2 - 73*i - u**2 with respect to k.\nAnswer: -i**3*u**2 + 12*i**2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 3770.95 minus 111837695?\nAnswer: -111833924.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: -9360 divided by -3\nAnswer: 3120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Sort -21, -100, 2\/5 in increasing order.\nAnswer: -100, -21, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1689?\nAnswer: 3, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 31 and -4159?\nAnswer: -128929","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 525855 and 660?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -1103113222 - 3?\nAnswer: -1103113231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: -16 + ((0 - -13) + (-124 - -120) - 13)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 a and 1 f when two letters picked without replacement from {f: 1, a: 6, i: 4, y: 3}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let u(k) = 762*k**2 + 7*k - 2. Let c(t) = t**2 + 3*t - 2. Calculate c(x) - u(x).\nAnswer: -761*x**2 - 4*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let z = 17 + 4. What is the highest common divisor of z and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.8046957 years in decades?\nAnswer: 0.08046957","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 5444 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Express 114 + 379*z**2 + 7*z**3 - 3*z**3 - 114 - 3*z**3 as m + y*z**2 + k*z**3 + u*z and give y.\nAnswer: 379","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*y + 4*q - 1 = -y, 0 = y - 2*q + 3. Let n be y\/((-6)\/4)*3. Solve 4*p + 4 = 0, n*p + 11 = 3*u - 0*p for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Add 0.5 and -18827.72.\nAnswer: -18827.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -24076, -0.4, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let -2*w**5 + 4*w**4 + 80*w**3 - 292*w**2 + 210*w = 0. What is w?\nAnswer: -7, 0, 1, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of (-393)\/(-3537)*(0 + 36) and 1146.\nAnswer: 2292","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*((sqrt(12)\/sqrt(4) + -3 - sqrt(6)\/(sqrt(4)\/sqrt(2))) + 0 + -5*(sqrt(3) - (sqrt(15)*1)\/sqrt(5)))**2 + -4.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-2*m + m + 2*m)*(3 - 3 - m) + 4*m**2 + 4*m**2 - 6*m**2 + 348*m**2 + 20390 - 20390 to the form x*m + i + d*m**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 124 and 8116420.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 245\/165 + (-70)\/42?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 49050285 to the nearest integer?\nAnswer: 7004","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3292498 is divided by 89.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let z(j) = -j**2 - 2*j - 5. Let l be z(-3). Let c(t) = t**2 + 4*t - 11. What is the tens digit of c(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 2 + -8. Let k = 66 - 75. Calculate the remainder when 62\/4 - k\/n is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4 divided by -46?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let h = 0 - 2. Let v(b) = -2*b**3 - b**2 - 2*b - 2. What is the remainder when 53 is divided by v(h)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 214952 a multiple of 277?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let z(g) = 64*g. Let k = 210 - 86. Let y = 130 - k. Let c(x) = -y*x + 3*x + 2*x. Give c(z(n)).\nAnswer: -64*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -2981, -5969, -8957, -11945, -14933?\nAnswer: -17921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 93 - 94.86974626?\nAnswer: -1.86974626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {v: 6, p: 2, g: 1, j: 4}. What is prob of sequence pjpj?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let u = 115 + -26. Let v = 93 - u. Solve 4*d = v + 4 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 916 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let h(b) = -3*b**3 + b**2. Suppose -4*p + 6*p = 6. Let o(y) = y - 1. Let r be o(p). Let v be (-6)\/4 + r\/4. Give h(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 32 - 1\/4*d**2 + 127\/4*d.\nAnswer: -(d - 128)*(d + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -7551, -9, -1, -2 in descending order.\nAnswer: -1, -2, -9, -7551","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((-1*sqrt(480))\/sqrt(8) - (sqrt(60) + sqrt(540))*-5)\/(sqrt(84)\/sqrt(7)*-4 + (sqrt(108)*-2 - sqrt(108))))**2.\nAnswer: 1805\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate 6588 divided by 2.\nAnswer: 3294","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 672 minutes after 12:05 AM?\nAnswer: 11:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0000014473 rounded to 6 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let l = -0.488 + 0.388. What is the nearest to 2 in 3, 4, l?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7 = 4*l + 5. Let f = 3 + l. Let b = 3 - 5. Sort b, 0.1, f.\nAnswer: b, f, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 206 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -4265, -8530, -12793, -17054, -21313, -25570?\nAnswer: -29825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*w**5 - w**5 - w**5)*(2 + 3 - 4) + 115*w**5 + 418463*w**2 + 31*w**5 - 418463*w**2 - 4.\nAnswer: 144*w**5 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Determine w so that 321*w**4\/2 + 8188*w**3 + 46479*w**2\/2 + 360*w = 0.\nAnswer: -48, -3, -5\/321, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*u = -2*h + 1830, 3*h + 2*h - 1220 = -2*u. Let f = 1124 - u. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 154 minutes after 3:50 AM?\nAnswer: 6:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:30 AM and 7:59 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (0 - p + 0)*((0 + 0 - p)*(-2*p**2 + 3*p**2 + p**2) - 3*p**3 + p**3 + p**3) + 0*p + 6*p**4 + 0*p to q*p + f*p**4 + l*p**3 + d + j*p**2 and give f.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1938, 1934, 1928, 1920, 1910, 1898, 1884?\nAnswer: 1868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 2\/43 (b) -0.4 (c) 1 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is (14\/24)\/((-1)\/(-8))*(-740)\/2220?\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c(q) be the third derivative of 0 + 1\/9*q**4 + 11*q**2 - 1\/45*q**5 - 8*q**3 + 0*q + 1\/540*q**6. Let h(n) be the first derivative of c(n). Factor h(y).\nAnswer: 2*(y - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 390 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 177572301 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 73 + 32 = 35*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is -1 at most as big as 1\/5451?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let i be -1100 - (5\/(-5) - -7). Let q = i + 1745. Round q to the nearest ten.\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 104 minutes after 2:09 AM?\nAnswer: 3:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let c(u) = 714*u**2 + 2. Let n be c(6). Suppose n - 2846 = 5*w. Suppose -9*m + w = -4815. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -153 + 431. Which is the third biggest value? (a) -3\/5 (b) t (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*sqrt(160) - sqrt(160))\/sqrt(5).\nAnswer: -12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 17648*z - 4*m - 8 = 17654*z, -9*z - 16 = 5*m for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Express (11 - 11 + 2*d**2)*(2 - 2 - 3*d) - d**3 + 0*d**3 + 2*d**3 as p + u*d**3 + h*d + c*d**2 and give u.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -3.72, -6, -0.2, 0.042, -4, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let o = -3.2 - 0.8. Let w = -3.7 - o. What is the closest to 0 in w, 5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(q) = -2*q - 6. Let f be d(-3). Suppose f = 8*a - 4*a - 84. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-20)\/40*(-302)\/(-6493).\nAnswer: -1\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r = 29819\/12 - 2481. Calculate the common denominator of -59\/34 and r.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -7 - 68*u**3 - u + 213*u**3 - 2*u**2 - 83*u**3 - 78*u**3 as r + x*u**3 + v*u**2 + j*u and give r.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let d(v) = v**3 + 8*v**2 - 8*v. Let h(m) = 3*m**3 + 15*m**2 - 15*m. Let r(u) = u**2 - 6*u - 222. Let o be r(18). What is o*h(t) + 11*d(t)?\nAnswer: -7*t**3 - 2*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 57*c - 52362 = -4*c + 119780. What are the prime factors of c?\nAnswer: 2, 17, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 393202467 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from jjqjqnoj. Give prob of picking 1 j and 1 n.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 12938122?\nAnswer: 2, 17, 380533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -2770860 (base 10) in base 7?\nAnswer: -32360211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 199 = b + 3*d - 874, -2*d - 5314 = -5*b. What is the hundreds digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 2, 4, 3, -0.4 in decreasing order.\nAnswer: 4, 3, 2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let s(r) = 2*r**3 + r**2 - 5*r - 5. Give s(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 6*n**3 - 6*n - 6*n**3 - 5*n**4 + 3*n wrt n?\nAnswer: -60*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 14 - -216871.\nAnswer: 216885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 58365790?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -3 (b) 0.68 (c) 1.2868 (d) 5 (e) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let k = 583921 + 107223. Suppose -g = -3*y + k, 2*g + 1382288 = -0*g + 3*y. Let z = -311144 - g. What is z rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 76 = -36*s + 220 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let n = -5069 - -5074. Which is the second smallest value? (a) n (b) -623 (c) -1 (d) -5\/2 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 6 = -2*q - 5*n, -2*n = -8*q + 3*q + 14 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -851*z = 734*z - 1235*z - 3150 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 238*m**3 - 115*m**3 - 86*m**3 + m**3 + 3*m - 3*m + (-2*m**2 + 4*m**2 - m**2)*(2 - 2*m - 2) to y + a*m**3 + s*m + f*m**2 and give a.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let i be 58\/8 - 3\/(-4). Suppose -3*r + 12 = 0, -4*m - r + 7 + 5 = 0. Is 3 a factor of 2\/(-4)*(m - i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(v) = v**2 - v - 1. Suppose -3*d + 7 = j, 13*j + 1 = 3*d + 17*j. Determine p(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Add -370991 and 1577.333.\nAnswer: -369413.667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve -372*o + 374*o + 2*n - 6 = 0, -2*n = o - 2 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -1872282.4 times -1?\nAnswer: 1872282.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-8)\/6*-3 + (0 - 0). Let k be (i - 0) + (-2)\/4*-4. Solve 2*z + k = 4*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 7*(112 - 343710\/3150).\nAnswer: 101\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*c + 5*l + 10 = 0, 5*c - 17 = l - 3*l. Let i(u) = 3*u**2 + 6*u - 3. Let j be i(c). Suppose w + 260 + 166 = 5*h, -4*w = h - j. Is 14 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 205 - 39. Suppose 3*w + 3*j + 152 = 5*w, z = 2*w + 4*j. What is the remainder when w is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 37 a factor of 7657076?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let h(x) = -2*x + 32. Let m be h(21). Let w(k) = k**3 + 9*k**2 - 9*k + 8. Let i be w(m). Which is the second biggest value? (a) 0.4 (b) i (c) -1.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-2)\/3*9\/126*21.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l(j) = j**2 + j - 18. Let a(r) = -r**2 - 3*r + 17. Let o(b) = 2*a(b) + 3*l(b). Determine o(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 260037 a multiple of 306?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 8303643?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) -3 (b) -38083\/2 (c) -2\/15 (d) -1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let a(n) = 3*n**2 + 14*n - 3. Let b be a(-6). Let v be (1 + 22\/b - 2)*3. Factor 1\/7 - v*q**2 + 0*q.\nAnswer: -(q - 1)*(q + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(i) = 3*i - 5*i + 4*i - 3*i. Let l(u) = -u. Let k(d) = -2*f(d) + 3*l(d). Let x(v) = 3*v. Calculate k(x(z)).\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: -49207+-2746790177\nAnswer: -2746839384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-1 - 0)\/((-2)\/((-28)\/(-1))). What is the derivative of 2*h**3 + 23*h**4 - 4*h**4 + r + 7 - 8 wrt h?\nAnswer: 76*h**3 + 6*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -18*a - 23*a + 660 = 3*a. Suppose -5*o - 77 = -702. Let x = o - a. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 6603 + -33006\/5. Let s(c) be the first derivative of -v*c**2 + 1\/10*c**4 + 2*c + 6 + 2\/5*c**3. Find r, given that s(r) = 0.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(x) = x**3 + 6*x**2 + 8*x + 2. Let y be f(-4). Suppose 0 = 111*g - 116*g + 45. Calculate the lowest common multiple of 24\/36*45\/y and g.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -518*z - 4437 = -521*z. What is the remainder when z is divided by 40?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -337 - 9?\nAnswer: -340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let l(f) = f**3 + 5*f**2 + f + 3. Let m be l(-4). Suppose 3*u - m = -2*u. What is the units digit of (51\/u)\/1*1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose a = -y + 3*y + 37, -2*y = -3*a + 43. Suppose t + 10*w - 13*w = 12, -3*t - 4*w = 29. Sort y, 2, 1\/5, t in descending order.\nAnswer: 2, 1\/5, t, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from tuvpp. What is prob of sequence vp?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: (-124)\/208 + 6\/(-39)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -165437 + 255588. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (8\/(-5))\/((-28)\/(-490)). Let m be (-6)\/70 - 8\/k. Let u = 0.33 + 6.67. Which is the second biggest value? (a) 4 (b) u (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -332133.72 - -317331.717. Let r = g + 14813. Let l = r - 11. Round l to two dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -33 divided by 340809.\nAnswer: -11\/113603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 33165961 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 12244 + 3*v**2 + 12239 - 2*v**2 + 12246 - 36758.\nAnswer: v**2 - 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 115 minutes before 10:35 PM?\nAnswer: 8:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the sixth biggest value? (a) 4\/23 (b) 2557 (c) 0.2 (d) -1\/4 (e) 3 (f) 4 (g) -12\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -2 + -51?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let d(j) = 2*j + 7. Let g(i) = 6*i + 0*i + 5*i**2 - i**2 - 3*i**2. Let u be g(-5). Give d(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*f + p = -24, 4*f = -432*p + 433*p + 19 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (((-5)\/(-2))\/(7\/(-14)))\/(-4).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q be 16 + -16 - 658\/(0 + -1). Suppose 5*k - 2773 = -q. Suppose -10*s + k = -s. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 0.2, 0.02, 0.4, -287, 0.3 in increasing order.\nAnswer: -287, 0.02, 0.2, 0.3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let l(p) = -p**3 - 5*p**2 + 5. Let x be l(-5). Suppose 3*z - 148 = -5*c, -x*z - 4*c = -242 + 17. Suppose 8 = -3*m + z. What are the prime factors of m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(p) = -p. Let i be t(-1). Let r(c) = -3*c**2 - 9*c - 13. Let o be r(-4). What is the units digit of ((-10)\/o)\/(i\/40)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 6\/(-48)*(-6)\/(-2).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r(h) = h - 11. Let l be r(11). Suppose l*f = -4*f. Suppose -19*g + 16*g + 27 = f. Calculate the highest common divisor of 6 and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 573067 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let r(h) = -807*h + 40370. Give r(50).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: 314 divided by -137415\nAnswer: -314\/137415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let c(g) = -g**3 - 33. Let x be c(0). Let z be (x\/(-4))\/(7\/28). Suppose 211 - z = 2*s. What are the prime factors of s?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 10576 - 10578. Let v = 0.01 + 0.19. What is the closest to 2 in v, -0.9, b, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 1031*o + 24401 = -4325 - 14576 for o.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-5)\/(-15) - ((-42)\/(-9))\/(-1). Suppose 0 = -2*v + 3*g + 23, 0 = -j*v + g - 3*g + 29. Let s(t) = -2*t**2 + 12*t + 20. What is the units digit of s(v)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 12000201220 (base 3) in base 10?\nAnswer: 98952","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Subtract -0.05 from -11847.\nAnswer: -11846.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let w(j) = -2723*j**2 + 27233*j - 27. Determine w(10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (((-7227)\/1650)\/(-73))\/((-48)\/10*1).\nAnswer: -1\/80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence xpxx when four letters picked without replacement from {p: 4, x: 3, d: 5}?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -w + 903 = d, 0 = 19*w - 21*w - 5*d + 1791. Suppose -2*n - 6*b = -3*b - 898, -2*b - w = -2*n. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -164720*j**4 - 485*j**2 + 2*j + 9?\nAnswer: -3953280*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 110846 > 110861?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 4869 is divided by 143?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4840138.\nAnswer: 2, 17, 142357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 2*t + 3*h - 89, 86*h - 89*h - 86 = -3*t - 64 + 104 for t.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 1\/(0 - (7950\/(-3974) + 2)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(b) = 3*b**3 + 12*b**2 + 6. Let o be (-1322 - -1317)*((0 - 0) + -2)\/(-2). What is k(o)?\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -8 by -176805.\nAnswer: 8\/176805","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let a(x) = -86. Let w(p) = -p - 86. What is -3*a(n) + 2*w(n)?\nAnswer: -2*n + 86","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 707 minutes after 9:07 AM?\nAnswer: 8:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*l = 5*g - 120, 4*l - 72 = -3*g - 0*g. Suppose -5*k + 53 = -4*v, -5*k - 3*v + 15 + g = 0. Solve 0*c - 9*c = k for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 167621, 167607, 167617, 167657, 167733, 167851?\n\"Answer: k**3 + 6*k**2 - 39*k + 167653","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*g**3 - 295932*g**2 - 10949039808*g - 153228560128.\nAnswer: -2*(g + 14)*(g + 73976)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-1)\/9 - 3135\/(-27). Suppose -238 = -3*g + g. Let y = g - q. Solve 0*z = y*z + 3 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -164*r**3 + 507*r**2.\nAnswer: -984","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 a and 1 v when two letters picked without replacement from vwbbagwg?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let m = -3998.967 + 4002. Let n = 38 - 38.033. Let a = m + n. What is the nearest to 0 in a, -9\/2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 536508514?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 x and 2 s when three letters picked without replacement from {x: 5, d: 8, s: 4}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let o(l) = 23*l**3 + l**2 - l. Let u be o(1). Let f = u + -20. Solve 5*z - f + 28 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 28984990511 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let l(g) = -31*g + 2013. Calculate l(56).\nAnswer: 277","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let a be 1*-1 + (-1 - -402). Suppose 9*s - 4*s - a = 0. Is 11 a factor of ((-4)\/(-5))\/(4\/s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 136 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.7? (a) -8 (b) 6 (c) 1\/6 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let w = -15 + 18. Suppose -u = -5*x + w*x + 24, 0 = x - u - 10. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(c) = 5*c + 9. Let u(b) = -14*b - 24. Let a(v) = 3*u(v) + 8*x(v). Let q(i) = -28*i**2 + 2. Give q(a(r)).\nAnswer: -112*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let m = 189997\/92196 + -11\/3546. What is the common denominator of m and -31\/286?\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, -14, 4, 1.\nAnswer: -14, -3, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 22 a factor of 492894182?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*j = 5*n + j - 7, n = 4*j - 10. Solve 0 = -n*w + 5 - 13 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine k so that -5*k**5 - 56305*k**4 - 1460395*k**3 + 1741945*k**2 + 5841660*k - 6066900 = 0.\nAnswer: -11235, -27, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2757 + 416*s - 2757 to the form d + j*s and give j.\nAnswer: 416","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -35 + 8959\/1116 + 27?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 45531 to the nearest integer?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: 5*3\/(6\/(-2))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -41*p + 6380 = 7282 for p.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 7739 and 213.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2 in -0.02, 1\/12, -70.6?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 233 is divided by 20?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -y + 5*v + 54, -v - 11 = -y + 31. Let l be (-1)\/(-2)*(y - 13). Let d = l + -10. Is 3 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(u) = -2*u**3 - u**2 + 1. Let q = -8 + 6. Let m be b(q). Suppose -2*n - 3 = -m. Solve 4*k - n + 17 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(p) = -p**2 - 1. Let y(t) = 74*t**2 + 37. Let b(i) = -37*f(i) - y(i). Let q(v) = 3*v + 6. Let u(g) = 6*g + 15. Let l(j) = 5*q(j) - 2*u(j). What is b(l(n))?\nAnswer: -333*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((r**8\/(r\/(r\/(r*r**(-12)))*r))**9)**29 assuming r is positive.\nAnswer: r**4698","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 21 = 4*m - 3. Let k(f) = 5*f - 7. Let b(a) = 6*a - 8. Let t(z) = -3*b(z) + 4*k(z). What are the prime factors of t(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 58 divide 26970?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4*sqrt(99)*1)\/(sqrt(225) + sqrt(225)*-2) - (-5*(sqrt(11) + 0) + 3)*3.\nAnswer: -9 + 71*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.23 and 5222298?\nAnswer: -1201128.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0065103245 rounded to 3 decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate 14\/(-6)*28\/91*-6*(-403)\/(-124).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q(s) = -7*s - 9. Let y be q(-4). Let f = y - 20. Let d(j) = j**2 + 5*j - 3. Let x be d(-6). Put f, x, -3 in descending order.\nAnswer: x, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(y) = y**2 + 4*y - 12. Let f be x(7). Suppose 3*k + v - 49 = 0, -16 = -5*k - 2*v + f. Suppose u + 2*u = 51. Calculate the highest common factor of u and k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 14430?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 18811 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: 0.0141 * 0.092\nAnswer: 0.0012972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 173*k*o**3 - 4*k*o**2 + 36*k + 981*o**3 - 1194*o - 30 wrt o.\nAnswer: 1038*k*o - 8*k + 5886*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, 3, 1, 5, 2270, -1 in ascending order.\nAnswer: -4, -1, 1, 3, 5, 2270","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 181477 and 173.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is (8*(-1)\/(-295))\/(26\/(-78)*108\/(-45))?\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -4*v**2 + v**2 + 2*v + 7*v wrt v?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -1\/3 (b) -1\/2 (c) -0.05503\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 11\/3, 0.2, -5, -11, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate 16\/24*(-10)\/(-4).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when (-2410)\/(-13 - (-3 - 8)) is divided by 201?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -3\/5, -3, -4, -14, -12\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let p(m) = 21*m**3 + 6*m. Let i(s) = 64*s**3 + 17*s. Give 6*i(b) - 17*p(b).\nAnswer: 27*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose z + 4*u + 12 = 0, 4*z - 4*u + 5*u - 12 = 0. Suppose -z*j = 4*q + 12, 3*j - 4*j - 13 = 3*q. Solve j*h + 33 = 5*p, h - 4*h = 2*p + 2 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 18*n**3 - 2*n**3 + 25*n**3 + 4*n**3.\nAnswer: 45*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose a - u - 153 = -4*u, -a = -3*u - 147. Suppose -5*i = 5*s - s - 185, -4*s + 2*i + a = 0. Is s a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 414 - 394. Let r be ((-15)\/c)\/((-5)\/240). Solve 7*x - 3*x + r = -5*k, -4*k = -x + 12 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2001002 (base 3) in base 14?\nAnswer: 783","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from jjlnjwljwwn. Give prob of picking 2 l.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let h = 15697 - 889. Is h a multiple of 167?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*u**3 + 69460 - 69460 + 19*u**2)*(4 + 0 - 1)*(4 - 3 + 1)*(0 - 2 + 0).\nAnswer: -36*u**3 - 228*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let r(x) = 5. Suppose -3*c - i - 18 = -5*c, -3*c + 17 = i. Let u be ((-15)\/(-10))\/(9\/96). Let f(t) = t - t - u - t. Determine c*r(b) + 2*f(b).\nAnswer: -2*b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3 + 2793550.\nAnswer: 2793547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*a - 5418 = 5*b - 5763, 3*a - 7*b + 204 = 9 for a.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Divide -555 by -3.\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 69593 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let n(p) = -p + 6. Let t be n(6). Let l be (t - 0)\/(-4 - -2). Suppose 0 = -0*q + q - 5. Which is the closest to 1? (a) q (b) 2\/5 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*u + s = -0*s + 7, 3*u + 5*s = 7. Solve -4*p = 3*w - 8, u*p - 5*p + 2 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 1.05 and 123.5.\nAnswer: 129.675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 214088.5ml in litres?\nAnswer: 214.0885","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m = 1.5 - -14.5. Let d = m - 23. Let f = d + 5. Which is the nearest to -0.1? (a) f (b) -1\/10 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 943176591 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 -3*u + 16 = u - 3*t, -u + 13 = -3*t. Let r be -1 - (-1)\/((-3)\/(-4)). Which is the second smallest value? (a) u (b) -4 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 2*z + 1 - 2 - 41*z**2 - 4 + 34*z**2 in the form r*z + i*z**2 + g and give g.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:20 PM and 9:29 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand (-c + 0*c + 0*c)*((-3 + 0 - 1)*(-8*c + c + c) - c + 0*c + 2*c).\nAnswer: -25*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2 in 0.1, 12\/17, -13.52, 1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose y = 46 - 40. Let g(n) = -3*n - 89. Let f be g(y). Which is smaller: -105 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.1? (a) -3 (b) -4 (c) 18 (d) -3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let y(d) = d**2 - 9*d - 14. Determine y(11).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: -800.13*-0.1\nAnswer: 80.013","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 188862?\nAnswer: 2, 3, 31477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -3*m**6 - 9589497*m**5 - 45864511*m**2.\nAnswer: -360*m**3 - 575369820*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 - 3 + 2)*(4*s + 2*s**2 - 4*s) - s**2 - 2*s**2 + 5*s**2 - 35*s**2 - 55*s**2 - 59*s**2 - 4*s**2 + 5*s**2 + 0*s**2 + (-5*s + s + 2*s)*(0*s + 0*s - 2*s).\nAnswer: -140*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Divide -12 by -6547.\nAnswer: 12\/6547","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((u**(-15)\/u)\/u)**(-5\/11)\/(u**7*u*u)**(3\/4) assuming u is positive.\nAnswer: u**(43\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -2827 (b) 1438 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*k + 15 = 0, -3*f - 46 = -k + 2. Let s be 5\/1*(-12)\/f. Let u(y) = -6*y**2 + 4*y + 7. Let d(r) = 17*r**2 - 11*r - 20. Determine s*d(x) + 11*u(x).\nAnswer: 2*x**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 86, 318, 700, 1226, 1890, 2686, 3608?\nAnswer: 4650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*c**2 + 2992*c - 559504.\nAnswer: -4*(c - 374)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 162, 360, 572, 798?\n\"Answer: 7*x**2 + 177*x - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate 311 divided by -4.\nAnswer: -311\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 3476789?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 9.651137 decades in centuries?\nAnswer: 0.9651137","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*l + 37600000 = -2*l. Round l to the nearest one million.\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -327, -583, -781, -891, -883, -727, -393?\n\"Answer: 5*s**3 - s**2 - 288*s - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let l(z) = 7*z + 116. Determine l(-14).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 84 and 2688.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 + 3 = u. Suppose 2*j - j = -u. Let q(d) = d**3 + 3*d**2 - 2*d - 1. Give q(j).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(t) = -t**3 + t**2 + 2*t - 1. Let j(x) = 2*x**3 - 2*x. Give -2*j(y) - 3*o(y).\nAnswer: -y**3 - 3*y**2 - 2*y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let y(d) = -d**3 + 7*d**2 - 4*d + 2. Give y(6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*k + 3*k - 11 = 0. Let u = k + -7. Is u a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*m**5 + 5945*m**4 - 23870*m**3 - 11870*m**2 + 71625*m + 53685 = 0 for m.\nAnswer: -1193, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 16723, 33161, 49317, 65191, 80783?\n\"Answer: -141*t**2 + 16861*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: 202 (base 6) to base 12\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve h = l - h - 5, 13*l - 34*l + 55*h = -13*l - 6*l - 10 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let t(y) = -2*y**3 + 20*y**2 - 544*y + 3508. What is t(7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let s(o) = -o**2. Let y(c) = 17*c - 6. Let b(a) be the first derivative of 33*a**2\/2 - 11*a - 1. Let r(n) = 6*b(n) - 11*y(n). Give s(r(q)).\nAnswer: -121*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many centimeters are there in 21\/4 of a meter?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 0.10921 less than or equal to -12\/91?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 127998839*x**2 + 64430103 wrt x.\nAnswer: 255997678*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: 0.2858 + 42429705885\nAnswer: 42429705885.2858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: 368+120861762.2\nAnswer: 120862130.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 234\/(-20)*((-84)\/(-54))\/(-7)?\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: (203\/(-14))\/(((-33)\/(-12))\/(3894\/708))\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*y - 89*y = 134*y + 8619 for y.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let d(s) be the second derivative of -7*s**5\/20 - 2*s**3 + 7*s. What is the second derivative of d(t) wrt t?\nAnswer: -42*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(a) = 4*a**2 + 6*a - 5. Let i(r) = 3*r**2 + 5*r - 4. Let f(b) = 5*i(b) - 4*j(b). Suppose 9*o = 6*o - 6. Calculate f(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 2601?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let r(p) = -p**2 + 15*p + 21. Let v be r(16). Solve -22 = -v*m - 7 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -4.17 and 0.4?\nAnswer: -1.668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 748 and 1972.\nAnswer: 21692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-40)\/(-14) + ((-14070)\/294 - -53))\/((-4)\/(-3))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(35)\/(sqrt(14)\/sqrt(2) + sqrt(7)) + 1)*-5 + (sqrt(120)*-1)\/(sqrt(6) - -6*sqrt(6)*2).\nAnswer: -69*sqrt(5)\/26 - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let m = -39 + 42. Suppose -2*h - 4*j - 2 = -m*h, 2*h - 4 = -j. Is 2 a factor of h - -2 - 156\/(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -7 - -12?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.1? (a) 5 (b) -11.4 (c) -1\/2 (d) -32 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Put 7, 6, 0.3, -1\/55 in increasing order.\nAnswer: -1\/55, 0.3, 6, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*f + 5*x = 20, 3*f + 5*x + 9 = -1 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1526, -3052, -4582, -6116, -7654?\nAnswer: -9196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is n in -n**3 - 7*n**3 + 376*n**2 + 394*n**2 - 758*n**2 - 4*n**4 = 0?\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 731 is divided by 109.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Round 0.261406 to four decimal places.\nAnswer: 0.2614","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: 42 - (57 + -19 - 17)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -7, -17, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:37 PM and 10:40 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 440 = 3*q + 164. Factor q - 3*k**3 + 3*k**2 - 92.\nAnswer: -3*k**2*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 541161 to the power of 1\/4, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.01 in -7, 8, -1\/3, 2\/11, 4\/35?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-106416)\/(-1296) - 82 - (-1)\/(9\/(-145)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.45426873 rounded to three decimal places?\nAnswer: -0.454","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let y = 10500 + -9689. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2039 is divided by 1605.\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Round -3.32000015 to 2 dps.\nAnswer: -3.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 6272773.\nAnswer: 13, 37117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((q**0)**4)**(-50)*((q*q*q\/q**0)**49)**(-13) assuming q is positive.\nAnswer: q**(-1911)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let h = -2190.2 - -2213.2. Put -4, h, 56\/11 in ascending order.\nAnswer: -4, 56\/11, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -118, -5, 2\/7, -1, 1, -11 in decreasing order.\nAnswer: 1, 2\/7, -1, -5, -11, -118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 54309.\nAnswer: 3, 43, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 1130221 - 211?\nAnswer: 1130010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -33, 4, 1\/4, 1.8, -1?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in 0.3, -24, -1\/41, -0.1?\nAnswer: -1\/41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((y**3*y\/(y*y*y*y**(1\/2)\/y*y)*y*y)\/(y**(3\/5)\/y**(-7)))**(-21\/4) assuming y is positive.\nAnswer: y**(1071\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let b = -531.3 - -561. Let m = -31.7 + b. Put 2\/11, 3\/7, m, -0.3 in descending order.\nAnswer: 3\/7, 2\/11, -0.3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -766 divided by -392?\nAnswer: 383\/196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 313244879 - 0.65027?\nAnswer: 313244878.34973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Round -2906630.59 to the nearest 10000.\nAnswer: -2910000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {c: 2, h: 1, r: 2, z: 1, i: 1, e: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of (18\/(-21) + 1)\/(60\/(-6090)) and -43\/465?\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -y**4 - 151*y**3 + 152*y**2 = 0. Calculate y.\nAnswer: -152, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from oosooss. What is prob of picking 1 o and 3 s?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let t(z) = z**2 + 9*z + 6. Let x be t(-9). Suppose -146 = -5*w - x. Let o = w + -18. What is the remainder when 27 is divided by o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -12.0901 times -15.7?\nAnswer: 189.81457","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let u = 11999 + -11591. Calculate the least common multiple of u and 1088.\nAnswer: 3264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: -30 - -35 - ((0 - 0) + 12)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r = 1 + -0.6. Let n = 0.5 - r. Let u = 3 + -3.4. What is the nearest to 0.1 in n, u, 0?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*x**4 + 0*x**4 + x**4)*(1 - 6 + 2).\nAnswer: -3*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 41335895 to the power of 1\/2, to the nearest integer?\nAnswer: 6429","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Factor -2\/3 - 2*f**2 - 2\/3*f**3 - 2*f.\nAnswer: -2*(f + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be 1\/2 + (-882)\/4. Is 9\/6*b\/(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be 8 - (24\/7 - 21\/49). Suppose -u + 113 = 3*f, 211 = d*f + 3*u - 7*u. What is the derivative of -18*o**2 + 19 - f + 4*o**2 wrt o?\nAnswer: -28*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be (5\/(-3))\/(2\/(-6)). Let x = -10 + 4. Let j = 12 + x. Which is greater: b or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5*sqrt(931)*-2 + (0 + sqrt(931))*-6 + (4 + (sqrt(931) - (2*sqrt(931) + sqrt(931) + sqrt(931))) - (1 + -2 + sqrt(931)))**2.\nAnswer: -252*sqrt(19) + 14921","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 740.1802ml in litres?\nAnswer: 0.7401802","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b(i) = -i**2 - i + 4. Let d be b(4). Let g = -9 - d. What is the third derivative of -11*n**4 + g*n**4 + 3*n**2 - n**2 wrt n?\nAnswer: -96*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(y) = -12 - 7*y + y**2 + y**2 - 7*y. Let p be -2 - -16 - (12 + 42\/(-6)). Let u be w(p). What is the greatest common divisor of u and 72?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence cccm when four letters picked without replacement from nnynnncnhhymncchnn?\nAnswer: 1\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Does 5 divide 1614005?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let i(y) be the second derivative of y**4\/12 + y**3 + y**2 + y. Determine i(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {a: 1, i: 6, o: 1, e: 9}. What is prob of picking 1 e and 1 i?\nAnswer: 27\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let l(v) = 2*v**3 + 3*v**2 - 4*v + 8. What is the hundreds digit of l(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -40598\/43755 or -1?\nAnswer: -40598\/43755","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is (-2 - -3) + (-8 - (-1 - 4))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 2885341 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*s = p - 14, -4*s + 19 = p + 9. Which is the nearest to 2\/5? (a) p (b) 0.7 (c) 0.2 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -25 + 34 + (1 - 4).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*h + 68 = -4*q, 5*h - 1006*q + 1005*q + 104 = 0. Suppose -5 = 4*z + 15. Does h = z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 52*j - 444 = 106*j + 42 for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let v = -39.1 - -3.1. Let i = -25.08 - -0.08. Let b = i - v. Is b <= 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(s) be the third derivative of 0*s**4 + 0 + 1\/70*s**7 + 0*s**3 + 1\/20*s**6 + 0*s + 7*s**2 + 0*s**5 - 1\/112*s**8. What is c in x(c) = 0?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(s) = 146*s - 417. Let z be w(3). What is the highest common factor of z and 189?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 3\/8 (b) 4\/5 (c) -3 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4424 - 8992.\nAnswer: -13416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ksakkgkgsgxogakgk. Give prob of sequence kakg.\nAnswer: 5\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let v(g) = -34*g - 111. Let p be v(-3). Which is the closest to -2\/7? (a) p (b) 9 (c) -3 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1512173759 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -194? (a) -0.06 (b) -34 (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let f = 0.03 + 0.017. Which is the second biggest value? (a) -1\/5 (b) f (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 2.824312 litres?\nAnswer: 2824.312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k(q) = -2*q**2 - 13*q + 4. Let y be k(-6). Let m(d) = d**3 + 3*d**2 - 2*d - 4. Let z be m(-3). Suppose 0 = -z*i + 4 + y. Is i a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 12 = -s + 9 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -3 (b) -0.4 (c) -0.3 (d) -0.0847 (e) 2\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Put 5, 120, 1 in descending order.\nAnswer: 120, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 4\/15 of a decade?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((h**(-2\/7)*h\/(h*h\/(h\/(h**20*h)))*h)**(-1\/5))**(-1\/41) assuming h is positive.\nAnswer: h**(-142\/1435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ir when two letters picked without replacement from {r: 7, i: 6, m: 1}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 171 and 3.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is next in 4833, 9626, 14369, 19062, 23705, 28298, 32841?\nAnswer: 37334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let t = 67 - 62. Solve -5*o + 4*d = 22, -t*o = 4*d - 3 + 1 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -6 - (-3 + (-1 + 1 - -3))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort -827, 12, -56 in decreasing order.\nAnswer: 12, -56, -827","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) -4 (b) 0.4 (c) 0.27 (d) 433\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, 40, -18 in decreasing order.\nAnswer: 40, 5, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Total of 284508 and -175804.\nAnswer: 108704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let f(m) = -1452*m - 5343. Determine f(-4).\nAnswer: 465","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Express 2 - w**2 - 2 + (0 - 1 + 0)*(-4 + 0 + 2)*(-1 - 5*w**2 + 1) in the form d + c*w**2 + a*w and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let q(w) be the first derivative of -11*w**3\/3 - 5. Let k(p) be the first derivative of 9*p - p**2 - 1 - 9*p. Calculate q(k(u)).\nAnswer: -44*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let p(r) = 4*r - 4. What is the units digit of p(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:21 AM and 10:13 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 10473?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 12577124 and 39249?\nAnswer: 4361","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 481 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -2*m**4 - m**3 - 6144777*m**2 - 326301445 wrt m?\nAnswer: -8*m**3 - 3*m**2 - 12289554*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 206161 rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -43\/50 and (3 - 2\/744*1149)\/(2 + -4)?\nAnswer: 6200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -747.79387214 + 8.78796614. Let z = 739 + o. Round z to four decimal places.\nAnswer: -0.0059","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 7019 is divided by 119.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 3*y**4 + y**3 - 3290*y**2 - 106346 wrt y.\nAnswer: 12*y**3 + 3*y**2 - 6580*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from mrwwwmrmww. What is prob of sequence rm?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 543 minutes after 7:37 AM?\nAnswer: 4:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -3 in 0, 13, 0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate 193 - 196 - (10 - 3).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16*z - 26*z = -21*z. Solve z*g + 2*g + 2 = 0, -4 = -5*k - g for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1\/3 in -2, -3, -140, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-3)\/((24\/10)\/(-4)). Suppose 3*t = -4*r + 3, 3*r = -o*t + r + 19. Let c(y) = 3*y - 1. What are the prime factors of c(t)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Do -3653 and -3639 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let n be -1 - 0 - 11*(-12)\/(-2). Let s = 71 + n. Solve 0 = s*k - 0*k - 20 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {t: 3, e: 1, j: 3, a: 3, s: 3, w: 1}. What is prob of sequence aa?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let c = 5 - 2. What is the third derivative of v**2 + 0*v**2 + v**2 - c*v**6 wrt v?\nAnswer: -360*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(s) = -4 + 1 + 7 + s + s. Calculate r(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(r) = 2*r**3 - r**2 - r + 2. Let o(v) = -8*v**3 + 601*v**2 + 864*v - 10. Let i(a) = o(a) + 5*t(a). Find the second derivative of i(k) wrt k.\nAnswer: 12*k + 1192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (1 - (0 + 29)) + (-91 + 52 - (-43 - 3)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 30555 - 252?\nAnswer: 30303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -100101101110 + 100001000010101?\nAnswer: 11100010100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 48685 divided by -9737?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let i = 76\/41 + -1058\/615. Is i greater than -2\/1937?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {g: 2, v: 9, t: 4, f: 4}. Give prob of picking 2 t.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 70 and 29580.\nAnswer: 207060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Does -1 = 78\/4601?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 946842433 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 1204039 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (5 - 5 - g**3)*(2 - 2 - 2*g) + (-5*g**3 + 12*g**3 + 5*g**3)*(g - 1 + 1) to f + m*g**3 + n*g**2 + l*g**4 + y*g and give l.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let f(i) = i**3 - 6*i**2 + 3*i - 6. What is f(6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let p = -5.8 - -6. Suppose -10 = 597*r - 592*r. What is the second smallest value in p, -0.2, r, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 0.2, -2, -28, -0.4, -1\/304?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 78742869 to the power of 1\/3, to the nearest integer?\nAnswer: 429","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: 1 (base 13) to base 4\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Put -9, 96, 37, 5 in increasing order.\nAnswer: -9, 5, 37, 96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -25*o - 42 + 92 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 57\/105 - (51\/15 + -3)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let s(c) = 3*c. Let l(b) be the third derivative of 14*b**2 + 0*b - 1\/60*b**5 + 0*b**3 + 0*b**4 + 0. Determine s(l(j)).\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let p = -53 + 85. Suppose -8*m = -112 - p. Suppose -d - m = -7*d. Solve 3*b + 1 = -3*w + 4*w, -d*b - 3*w - 9 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from erozouuuofrzrrr. Give prob of picking 1 e, 1 f, 1 o, and 1 z.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let z = 0.0225 - -0.88. What is z rounded to 2 dps?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 1 - -3. Suppose -5*u - 4*f = -55 + 18, -i*u + 8 = -4*f. Let o(q) = q**2 - 12*q + 11. Let r be o(11). Solve -u*p + r*p = 25 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 0.7 - -2.3. Which is the third smallest value? (a) -0.3 (b) -4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*o - 4*n - n - 10, 2*n - 5 = o. Let s(y) = 3 - 3 - 1 + 0. Let b(a) = 2*a + 4. Give o*s(f) - b(f).\nAnswer: -2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 216195 and 37275.\nAnswer: 1080975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -5001, -10078, -15373, -20994, -27049, -33646?\n\"Answer: -18*u**3 - u**2 - 4948*u - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 50 + (24 + -54 - 11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -1176 + 1196 + ((-208)\/(-3))\/(-4)?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -652 + 357. Let r = 94 - v. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -4071 + 7428. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from cccccccccyyccccccc. What is prob of sequence ccyy?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:06 AM and 5:10 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 36a (base 16) in base 8?\nAnswer: 1552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -22*n + 27*n + 10 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 9*(1632\/54)\/(-16)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -r - 11666107 - 11666098 + 23332201.\nAnswer: -r - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let l(j) = -1. Let f(p) = 24 + 23 + 6*p - 44. Let b(w) = -2*f(w) - 6*l(w). Let m(s) = 5*s**2. Determine b(m(d)).\nAnswer: -60*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 168, 173, 188, 213, 248, 293, 348?\nAnswer: 413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -6.298 and 70468?\nAnswer: -443807.464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -30273729, -30273728, -30273727?\nAnswer: -30273726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -81, -150, -211, -264, -309, -346?\n\"Answer: 4*i**2 - 81*i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00040834 to 5 decimal places.\nAnswer: 0.00041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -21*x + 10*x + 44. Solve -12 = -0*y - x*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 100 + -38. Calculate the least common multiple of q and 12.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be 23 - (2\/2 - -2). Suppose 0*b + x = 2*b. What is the highest common divisor of 25 and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1\/2? (a) 529.86 (b) 2 (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in 0.3309791 days?\nAnswer: 28596.59424","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 357, 719, 1083, 1449, 1817, 2187, 2559?\n\"Answer: v**2 + 359*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 11 + 99 - 46*h + 159*h - 114*h.\nAnswer: -h + 110","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let u(g) = g**2 - 12*g + 10. Let r = -5 + 18. Let j = r - 1. Let a be u(j). Solve v + v = a for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 525 minutes after 12:57 PM?\nAnswer: 9:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is next in 10330, 20164, 29998, 39832, 49666?\nAnswer: 59500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i(t) = 2*t**2 + t - 3. Let x be i(-2). Let r = 3 - x. Suppose r = -c + 5*c. Solve c*n + n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*l - 4*p = 19, -9 + 29 = -5*p. Let s be (l - -8)*20\/70. What is the derivative of 0*m**4 + s*m**4 + 2 - 7 + 0*m**4 wrt m?\nAnswer: 8*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -436 + 853\/2. Let d = -8 - p. Suppose -3*k + 2*b - 4 = k, k + 11 = -2*b. What is the smallest value in 3, d, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(u) = -u**3 + 3*u**2 + 7*u - 9. Let s be q(4). Suppose 0 = o + 3*m + 12, o - 4*m - s = -2*o. Which is the biggest value? (a) o (b) -4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -487 + 521. Suppose 2*s - 96 = -2*s. Suppose -4*i + 44 = -s. What is the greatest common factor of i and x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*w = -0 - 6 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find h such that -4*h**5 - 36*h**4 + 16892*h**3 - 50364*h**2 + 33512*h = 0.\nAnswer: -71, 0, 1, 2, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 27*m - 664 - 1199 = 0. Suppose -8*g + 6*g - 256 = 0. Let r = -82 - g. Calculate the highest common divisor of m and r.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 241, 737, 1517, 2581, 3929?\n\"Answer: 142*h**2 + 70*h + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} {"text":"Question: Evaluate (((-5760)\/(-840))\/(5\/21))\/(((-6)\/15)\/(-1)).\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q be 1\/5*(0 - -5). Let j be 15 + 0 + 4 - 3. Let g be (-9)\/27*9\/j. Are q and g nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(t) = 3*t - 1. Suppose -4*s + 9 = -7*s. Let c(x) = 2 + 3*x - 4*x**3 + 3*x**2 - 5*x**2 + 3*x**3. Let h be c(s). Give b(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(t) = 69*t. Let s(i) = -1277637*i - 3. What is s(o(p))?\nAnswer: -88156953*p - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2 + 5*2*-3*sqrt(272)*-2 + -3.\nAnswer: -1 + 240*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 0.28982174 rounded to 2 decimal places?\nAnswer: 0.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 20 a factor of 165401?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 605 and 308643445.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 44*(-12)\/(-192) + (-2)\/(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 16 (b) -17\/6 (c) -1 (d) 0.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let m(f) = -9*f**2 + 2*f + 3. Let s(q) = 1. Let u(x) = -m(x) + 5*s(x). What are the prime factors of u(2)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 3812482, 3812457, 3812418, 3812371, 3812322, 3812277?\n\"Answer: c**3 - 13*c**2 + 7*c + 3812487","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let v(i) = -i**3 - 12*i**2 + 12*i - 10. Let s be v(-13). Let q(o) = 45*o**3 - 5*o**2 + 4*o - 2. Let p be q(s). Round p to the nearest one hundred.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2503437 is divided by 610.\nAnswer: 607","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-k**2 - 6*k + 6*k)*(125 + 4*k - 8*k - 118) to v*k**2 + r*k**3 + u + f*k and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -1\/4 or -12\/17?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*r + 2 = z, -5*z + r - 8 = -0*z. What is the nearest to -0.2 in 1, -1, z?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*n + 6*v - 4*v - 113318 = 0, n - 28337 = -2*v. Suppose -4*m + 46761 = -n. Suppose m = 4*c - 4*d, -3*d = -4*c + 19285 - 515. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(o) = -3*o**3 + 2*o + 2. Let c(l) = l**2 - 4*l + 6. Let w be c(2). Let n(y) = -6*y**3 + 5*y + 5. Determine w*n(s) - 5*h(s).\nAnswer: 3*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let o = -22 - -16. Let s be 4*-6*(-62)\/o. Let r = s - -439. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 301 divide 256953?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let y be 18\/(-20) - 2\/(-5). Let x = 0.43 - -3.57. What is the nearest to y in 3, x, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3 - -6840265956031?\nAnswer: 6840265956034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is next in 55529, 111065, 166601, 222137?\nAnswer: 277673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate -9.0464*3604.\nAnswer: -32603.2256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Round -44362448.79 to the nearest 10000.\nAnswer: -44360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let d(j) = j**5 - j**4 + 2*j**2 - j - 3. Let z(q) = 210*q**5 - 2*q**4 + 4*q**2 + 99*q - 6. Let o(l) = 2*d(l) - z(l). Find the second derivative of o(k) wrt k.\nAnswer: -4160*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*f - 2601 = 3479. Find the common denominator of 5 - (2 + 2325\/f) and 35\/16.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 4 - (30 - ((3 - -2) + 8)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort 6, -5, 1289306 in increasing order.\nAnswer: -5, 6, 1289306","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: (962\/111)\/((-8)\/2)*(-150)\/2600\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express 3*v**3 - 1 + 7 - 3*v**4 - 127*v**2 + 127*v**2 in the form z*v**2 + d*v**3 + u*v + n*v**4 + g and give g.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -8 + -12?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Does 92 divide 44514?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 717 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 61946724?\nAnswer: 2, 3, 7, 223, 3307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 0.085857 rounded to four dps?\nAnswer: 0.0859","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 2340?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let p = -13 + 17. Suppose 0 = -5*o - p*j + 19 + 23, 0 = 4*o - 5*j - 9. What are the prime factors of 2\/2 - o\/((-18)\/201)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 23\/40 and 91\/36.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let p(o) = -2*o**2 - o + 1. Let w(g) = -3*g**2 - 20*g - 5. Determine 5*p(i) + w(i).\nAnswer: -13*i**2 - 25*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let v(k) = -k**3 - 15*k**2 - 52*k - 27. Give v(-9).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let g(u) be the first derivative of u**4\/10 - 6*u**3\/5 + 24*u**2\/5 - 32*u\/5 + 10. Solve g(x) = 0 for x.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3496576 a multiple of 472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -o + 4*s + s + 245, s = 0. Is o a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -11.8 * 29.\nAnswer: -342.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let h = -142.34 - -142.14. What is the fifth biggest value in 2, 0.8, -9, h, 0?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -77\/416 and 157\/588.\nAnswer: 61152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let n(s) = -7*s**2 - 90*s + 34. Let p be n(-13). Solve 16*a - 21*a = -3*c - 35, -p = c - 4*a for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(s) = -5*s**2 - 2. Let i(m) be the first derivative of m**3\/3 - 732. Determine i(d(v)).\nAnswer: 25*v**4 + 20*v**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let l = -41756.4 + 38549. What is l rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(m) = 9997*m + 169964. Let o be l(-17). Let f = 17 + -3. Let s be ((-60)\/f)\/((-2)\/56). Calculate the highest common factor of o and s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: 1cdb (base 14) to base 3\nAnswer: 21020220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2458?\nAnswer: 2, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let y = 7 + -17. What is the remainder when 15 is divided by (1 + 6\/y)\/(18\/180)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(f) = -2*f - 2. Let a(z) = z. Let p(n) = -3*a(n) - b(n). What is p(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 + 2 = g. Let t(o) = o**2 + 0*o**g - o**2 - 2*o**2 - o**3 + 1. Calculate t(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 8207, 10598, 12983, 15362, 17735?\nAnswer: 20102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 41*l - 39*l - 4*k = 0, 2*l + 3*k = -14 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -11430, -22878, -34372, -45936, -57594, -69370?\nAnswer: -81288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 85\/2 and -57\/26551312?\nAnswer: 26551312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 121071 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 19\/24 and 173\/42.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let z = 6 - 6. Suppose z = 4*u + 2*t - 14, 4 = u + 2*t + 5. Solve -5 = u*o + 20 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-51)\/(51\/4)*1\/((-4)\/(-17))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {i: 1, z: 3, t: 1, m: 3, h: 9, d: 1}. Give prob of picking 2 m and 1 z.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let t = 12603\/1228 - 4\/307. Let n = 1450894\/7 - 206889. Let u = n - 376. What is the common denominator of t and u?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be 6\/5*(-225)\/(-10). Solve -10*m - d - 3 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 2250 - 3*w**3 + w**4 - 2250 - 3*w**2 + 0*w**3 in the form t*w**3 + j*w**2 + m*w + x*w**4 + a and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate 11110313 divided by -23.\nAnswer: -11110313\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -4.1 times 8?\nAnswer: -32.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {k: 1, c: 3}. Give prob of sequence ckcc.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 4876*w**4*z**2 + 7*w**4*z + 29727*z**2 + 2*z wrt w?\nAnswer: 19504*w**3*z**2 + 28*w**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.7907233ng to grams.\nAnswer: 0.0000000007907233","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t = 376 - 379. Which is the nearest to 1? (a) -5\/3 (b) 2.1 (c) 1 (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 10280 and 14003416.\nAnswer: 2056","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is (56 - 35) + -124 + 46?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 283 and 349788?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 = 5*p + 6. Let x(h) = -5411*h**2 - 5*h + 5*h + 2*h + 5420*h**2 + 1. Calculate x(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 60 = -p - 5*g, 5*p - 62*g = -15*g + 492 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let m = -16384 - -27466. What is the tens digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((y**(-2\/3)*y)**(-2\/59))**(-17))**(-14))**(2\/73) assuming y is positive.\nAnswer: y**(-952\/12921)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let v(j) be the third derivative of j**5\/60 + j**3\/3 - j**2. Let u be v(-2). What is the highest common divisor of u and 66?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 7468769?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*t + 5*l - 36 = 0, 1179*t + 16 = 1175*t + 4*l. Let c = 3 + -6. Let j = -3.97 + -0.03. What is the nearest to -2\/3 in c, t, j?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 60 and 597948.\nAnswer: 2989740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let h(c) = c**3 - 7*c**2 + 4*c - 21. Let n be h(7). Is ((-3745)\/25)\/n*-15 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-10)\/(-10)*(1 + -2). Suppose 0 = -2*x + 2 + 8. Sort o, 0, x in descending order.\nAnswer: x, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -799 - -0.2.\nAnswer: -798.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ibp when three letters picked without replacement from {h: 3, b: 1, i: 5, p: 1}?\nAnswer: 1\/144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 4229.554 years in centuries?\nAnswer: 42.29554","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from pfpufpffuf. Give prob of sequence pfpu.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 47 and 1214245?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let m(t) = 4*t**2 + 2*t + 3. Let q(j) = 7*j**2 + 3*j + 5. Let r(v) = -5*m(v) + 3*q(v). Suppose 0 = -1335*g + 1344*g - 9. Calculate r(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*l = -y - 93, -l = y - 18 + 1. Suppose n + 4*a = 137, -3*a = -2*n + 3*n - 138. Let p = -119 + n. What is the highest common divisor of l and p?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(g) = -4*g. Let n(x) = -11*x + 10*x + 7*x. Calculate n(u(o)).\nAnswer: -24*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Express -9*i**2 - i**2 - 10*i**2 + 3 + 6*i**2 as y + f*i + d*i**2 and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: 0.5*-0.314\nAnswer: -0.157","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let n(h) = 15*h. Let g(d) be the first derivative of 0*d + 1\/2*d**2 + 12. Give g(n(l)).\nAnswer: 15*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is -3 (base 5) in base 2?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert 53.08537 nanoseconds to milliseconds.\nAnswer: 0.00005308537","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*q = 9*q - 63. Solve -3*t + q = -2 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 69 a factor of 12010140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*j - 10 = 4*j. Solve -j*p - 2 = -5*f + 3*f, 5*f = -p + 23 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 21815 and -0.1?\nAnswer: -2181.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let k = 67 + -64. Calculate the highest common factor of k and 87.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be (7\/(140\/90))\/((-3)\/104). Calculate the remainder when 17 is divided by (-2)\/(-3)*h\/(-26).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2166431.\nAnswer: 2166431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 258*i - 345*i + 235 + 548 = 0 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: 2\/30*-2*(-1458)\/(-2430)\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 538 minutes before 6:17 AM?\nAnswer: 9:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 37466?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.2 in 1.6, 2\/7, -2\/3, -0.37?\nAnswer: -0.37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -1424221 (base 5) in base 10?\nAnswer: -29936","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose g - 10 = -2*n - 3, -4*n = 4*g - 20. Suppose 13 = 3*t - g*v - 47, -22 = -2*t - 4*v. What is the highest common divisor of t and 136?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -34 + 37. Let u(q) = -q**a + 5 - 1 - 5 + q**2. Give u(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 114 is divided by 59?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let c(q) be the second derivative of 3*q**4\/4 - 15*q**3\/2 - 7*q**2\/2 + q - 51. Does 7 divide c(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 3 (b) 118 (c) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -44\/4095 and -43\/2295.\nAnswer: 208845","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let s(q) = 7*q - 24. Calculate s(-2).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.1 in 0.5, -4, -2\/11, 0.1, -17, 185450?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1430 or 28398?\nAnswer: -1430","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 173 and 12118131.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let z = -0.4 - -0.4. Let k be 1 + -5 + -2 + 6. What is the closest to k in z, -2\/19, 3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be -3 + (-6 + 81 - -4). Suppose -2*x + 11 = 3. What is the greatest common divisor of x and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -122107229 rounded to the nearest 100000?\nAnswer: -122100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let u(r) be the first derivative of -5*r**3\/3 + 1. Let f(y) = y**3 - 18*y**2 + 18*y - 16. Let k be f(17). Determine u(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 278748669?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 169 and 5?\nAnswer: 845","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 1 or 13\/9?\nAnswer: 13\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 2126094857 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4907539497?\nAnswer: 3, 7, 1801, 129757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -18*n + 81*n - 189. Let t be (-5 - 4)*(-2 - -1). Let c = 12 - t. Solve -4*k - 11 = -c*i, 6*i - i = n*k for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5339403 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, 3, -3, 24, 374.\nAnswer: -3, -2, 3, 24, 374","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) be the third derivative of -118*q**5\/15 - 1609*q**3\/3 + 3503*q**2. What is the derivative of f(y) wrt y?\nAnswer: -944*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 19*b**2 - 36*b**2 + b**2.\nAnswer: -16*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 6339019 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.2, 0, -0.1.\nAnswer: -0.1, 0, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -839*t + 844*t - 2*f + 13, 4*t = -2*f + 4. Sort -4, t, 349 in ascending order.\nAnswer: -4, t, 349","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 3 + 764385?\nAnswer: 764388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*m**3 + 3996*m**2 - 1330668*m + 147704148 = 0 for m.\nAnswer: 333","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -9*f + 5*f + 772. Suppose -3*b = 143 + f. Let s = b + 189. Is 6 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(x) be the first derivative of 1\/6*x**3 - 1\/2*x**2 + 1\/2*x + 2. What is g in b(g) = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.1 in 2\/15, -5, 2, -2\/5, 5, -5\/1180739?\nAnswer: -5\/1180739","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let u = 2.8484 - 0.8484. What is the closest to 10 in u, 0, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from yvvivvvkivikyvv. What is prob of picking 1 y and 1 k?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify t**(2\/69)*t**(-19)*(t\/((t*t\/(t**(3\/7)*t)*t)\/t))**12 assuming t is positive.\nAnswer: t**(-6679\/483)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -4 minus 2.21?\nAnswer: -6.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.1? (a) 35387 (b) 1 (c) -2\/9 (d) 5 (e) 3 (f) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 3256581, 3256575, 3256569?\n\"Answer: -6*c + 3256587","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Express 3*n**3 - 4 - 2*n + 3 - n**3 + 0 + 3*n**4 in the form d*n**4 + b + k*n**2 + s*n + h*n**3 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let c = -24 + 26. Suppose -5*o = -c*r - 194, 2*o + 5*r - r - 92 = 0. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*a + a = -i + 27, 5*i = 4*a + 30 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is five eighths of a kilogram in grams?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 2*c*i*p**2*x + c*i*p - 41*c*i*x - 4*i*p**2*x + i*p**2 + 451*i*p - 197162*p**2 + 180*p*x wrt p?\nAnswer: 4*c*i*x - 8*i*x + 2*i - 394324","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let z(d) = -d**3 - 26*d**2 - 136*d - 47. Calculate the smallest common multiple of 1326 and z(-20).\nAnswer: 9282","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 47, -254, 3, 4, -1, 56 in decreasing order.\nAnswer: 56, 47, 4, 3, -1, -254","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n*n**(-1))**(3\/31)\/(((n\/n**(2\/9)*n)\/n)\/n**(2\/5))*(n\/n**(-2)*n**(-2\/17)\/n)**(-1\/62) assuming n is positive.\nAnswer: n**(-9679\/23715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let t = -2480 - -2482. Solve 2*f - 7*f = -4*z + 22, 13 = 3*z - t*f for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*c + 2 = 14. Suppose -4*y + l + 40 = 0, c*y - l - 56 = 4*l. Let h be -2 + 413332*y\/(-6). Round h to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -16 = -2*c + 16. Suppose 0 = -2*u + 11 + 11. Let l = c - u. Put -3, l, 0.5 in descending order.\nAnswer: l, 0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(b) = 114*b + 1043. Let c(y) = 23*y. Determine -5*c(s) + o(s).\nAnswer: -s + 1043","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 56766 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 87289367 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Put 1197, 0.2, 0, -8, -1 in increasing order.\nAnswer: -8, -1, 0, 0.2, 1197","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f**0*f*f**(-6\/7)*f)**(-2\/39)\/((f**1\/(f**7\/f*f))\/(f*f**(-1\/4))**30) assuming f is positive.\nAnswer: f**(15529\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Does 124 divide 1128756483?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let z = 37 - 16. Let l = -165506 + 165515. What is the least common multiple of z and l?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((v\/(v\/((v**(14\/5)\/v)\/v))*v)\/v)\/v*v**(-13))**(2\/43) assuming v is positive.\nAnswer: v**(-132\/215)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 2301 + -72?\nAnswer: 2229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -300 (b) 14 (c) -1.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: -408*-2\nAnswer: 816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let w(n) = 118*n**3 - 21*n**2 - 8*n - 2. Give w(-1).\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 154*c - 155*c = 5*v - 1037, -v = -3*c + 3191. Does 42 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 1027427842?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*n + 4*f = 5*n + 6, -3*f + 9 = 0. Solve -4*i + n + 10 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*s**2 + 264*s - 11067.\nAnswer: 3*(s - 31)*(s + 119)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -x + 3*s - 31275 = 0, 0*s - 2*s + 31278 = -x. What is the tens digit of ((-3)\/3)\/(x\/(-4470) + -7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(s) = -4933*s**3 + 27*s**2 + 24*s + 76. Let w be m(18). Round w to the nearest 1000000.\nAnswer: -29000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -73\/4805344 and 14\/450501.\nAnswer: 14416032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let w = 12 - -41. Suppose 5*i - 448 = 462. Let a = w + i. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(120)*-2)\/sqrt(5))\/(sqrt(64)\/sqrt(8)*-6).\nAnswer: sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 505 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 121 + -122 - (3 - -2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: -1 (base 12) to base 4\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -242905195 or -242905196?\nAnswer: -242905195","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let r(g) = 2*g**2 + 7*g - 15. Calculate the remainder when 99 is divided by r(-7).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 3023, 6100, 9201, 12338, 15523, 18768, 22085, 25486?\n\"Answer: 2*k**3 + 3063*k - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 21616 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 922 (b) -5 (c) -192\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 m and 1 l when two letters picked without replacement from qkqkkllvmld?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -326*n + 10718 - 3220 for n.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: -4 + 2 + (9 - ((122 - (1 + 7)) + -15))\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l = 8 - -18. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in 8.870203 decades?\nAnswer: 88.70203","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -8451*r**2 + 16121*r wrt r.\nAnswer: -16902","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 25954 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let u = 6 - 4. Let l be 4 - u*8\/4. Suppose -4*i - i + 60 = l. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -38*w - 205*w - 2776 = 104*w. What is the nearest to 1 in -30, -1, w?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -10000111101001001 (base 2) to base 7.\nAnswer: -406322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -218*y - 477 = -y - 7421 for y.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let c = 121.453 - 56.367. Let v = 65 - c. Round v to 2 dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -833.96 - -834. Put 9, g, 2, 5 in decreasing order.\nAnswer: 9, 5, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 78.4426 years to millennia.\nAnswer: 0.0784426","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 147870 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: (2\/(-25))\/(36\/(-2025)*-15)\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i be 2\/13 + 115\/13. Differentiate -2*y + i*y - 1 + 5*y - 3*y wrt y.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*((sqrt(130) + sqrt(130) + sqrt(130)*5)\/sqrt(10) + -4)**2 - (2*sqrt(156))\/(2*2*sqrt(3))) + 0.\nAnswer: -1306 + 111*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1623, -3398, -5173?\nAnswer: -6948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 54 = 2*m + 5*v, 4*m - 22*v = -17*v + 108. Suppose 14*d - m*d + 130 = 0. Calculate the remainder when 57 is divided by d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1 + -1 + (6 - 1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*k - 177 - 35. Suppose -59*i - 10032 + 887 = 0. Let j = k - i. What is the highest common divisor of j and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -9696, -19390, -29084, -38778, -48472?\nAnswer: -58166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 10 in -437.3, -51, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let j = 0.1 - -0.3. Let n = 6.4 - j. Let t = -6 + n. Which is the nearest to -3? (a) 0.2 (b) t (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2253470 (base 8) in base 4?\nAnswer: 2111130320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 18024087 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} {"text":"Question: Let g(c) = -2*c**2 + 7*c - 17. Let s(v) = -826*v. Give g(s(l)).\nAnswer: -1364552*l**2 - 5782*l - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 152401 - 3015?\nAnswer: 147364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 98063?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 505 + 1026?\nAnswer: 1534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -727084359*j**5 - 525807*j - 198?\nAnswer: -14541687180*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*w - 12*c + 7*c - 44, -4*c = 16. Suppose -n = 4*n. Suppose -w*k + 2*k = n. Which is smaller: k or -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(o) = -44*o + 311. Let a be k(7). Suppose n + a*c = 17, -2*c - 37 = -5*n - 5*c. Solve -n*b - 5*y = -b, 2*b + 5*y = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 60*u = -145*u + 2870 for u.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (4*n - 16*n + 10*n - 13)*(-n**3 + 0*n**3 + 0*n**3 + (-6*n + 2*n + n)*(7 + 5*n**2 - 7)) to the form a*n**3 + s*n**2 + r*n**4 + j + v*n and give a.\nAnswer: 208","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let u(a) = -a - 1. Let x be u(-5). Let d(v) = -v + 6. Let q be d(3). Suppose -p - q + 5 = 0. Solve 0*y - 2*y = 0, -p*o - 2*y + x = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*j**3\/9 - 8486*j**2\/9 + 25432*j\/9 + 33920\/9 = 0. Calculate j.\nAnswer: -1, 4, 4240","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 7*c + 2*x + 22 = 3*c, -3*c - 2*x - 19 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let i(y) = 15*y**2 - 1783*y - 283. Determine i(119).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} {"text":"Question: Solve -4*x = 21*y - 27*y + 10, -4*y + 45 = 5*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 1517651778.29 plus -0.146?\nAnswer: 1517651778.144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 237953009 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 2270 a multiple of 183?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*r + 4*l = 33, -3*r - 15027 = l - 15037 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*l + 4*b + 24, -3*b - 14 = 2*l + 3. Let s be (-16)\/(-6) - l\/3. Let v be (-2)\/(-14) + (-58)\/14. Sort 2, v, s.\nAnswer: v, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 12556\/3 + -4185. Suppose 0 = d - 2*t - 6 + 15, -3*d = 2*t - 13. Suppose -3*q = -d + 4. Do q and i have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 0.0702127, 0.12, 2\/13 in decreasing order.\nAnswer: 2\/13, 0.12, 0.0702127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4 + (sqrt(3) - (sqrt(3) + 1)) + -4 + (sqrt(3) + -2)*-5.\nAnswer: -5*sqrt(3) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand -48*v**2 + 48*v**2 - v**4 + (-49*v**2 - 150 + 150)*(-2*v**2 - v**2 - 1 - v + 3).\nAnswer: 146*v**4 + 49*v**3 - 98*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.1 and -202.77.\nAnswer: -20.277","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 503?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 e and 1 h when three letters picked without replacement from {c: 3, e: 8, w: 2, h: 7}?\nAnswer: 49\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Round -0.002479687458 to seven dps.\nAnswer: -0.0024797","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -55*t**3 - 2*t + 2*t + 13*t**3.\nAnswer: -42*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: (-3)\/(6\/(-14))*15\/549*5526\/(-32235)\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j(z) = 682*z**3 - 7*z**2 - 3*z + 2. Calculate j(-1).\nAnswer: -684","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*h**5\/9 + 25532*h**4\/9 - 6950852*h**3\/9 + 461111008*h**2\/9 + 104797410*h + 52787700 = 0. Calculate h.\nAnswer: -13034, -1, 135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 1279858813 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (8 - 9 - (-7 - -1)) + -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Divide -10272 by -5136.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 4 - -9c?\nAnswer: a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let g(b) = 2*b + 0*b - b. Let o be 20 + (-4 - -4 - -4). Suppose -1 = 4*d - 5*q + 3, -2*d = 4*q - o. Let h(z) = 2*z. Determine d*h(a) - 6*g(a).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -14 (b) -33\/31 (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Does 4 divide 746?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -33*q + 9*q + 30*q - 8*q.\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 39486857 divided by 9467?\nAnswer: 4171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 43233?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -11 - 22102322301?\nAnswer: -22102322312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -15.82 and 1?\nAnswer: -15.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 4271410650 a multiple of 269?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let j = 5 - 5. Let b be j + 2\/(-6)*0. Solve 4*a + 12 = b, -5*p + 11 = 2*a - 4*a for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 58198.99955127 + -58199. What is d rounded to six dps?\nAnswer: -0.000449","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(w) = 13*w - 32. Let i(m) = 347*m. Determine g(i(y)).\nAnswer: 4511*y - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose k = 3*k - 3*h + 30, 0 = 4*k + h + 46. Let j = k - -15. Suppose 2*m - 3*p + 5 = 0, -4*m - m + 19 = j*p. What is m rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 7828520 and 14308?\nAnswer: 2044","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 2.40179l in millilitres?\nAnswer: 2401.79","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l = 3 + -3. Let t = -2.03 + 0.03. Let q = 24 - 23. What is the smallest value in l, q, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 4 t when four letters picked without replacement from tkttttktttkttttttttt?\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Convert -11001000101111011101 (base 2) to base 15.\nAnswer: -11395c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x = -33 - -33.42. Let j = -0.02 + x. Let y(i) = -i**3 - 7*i**2 - 16*i - 60. Let q be y(-6). Which is the second biggest value? (a) 5 (b) q (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3363 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -9136218 or -9136226?\nAnswer: -9136218","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 38 minutes after 1:47 AM?\nAnswer: 2:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let r = -46 - -91. Let s be 43 + (28\/20)\/((-21)\/(-105)). Let b = r - s. Let q(y) = -y - 2. Determine q(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 111 - 115. Which is the third biggest value? (a) 0.4 (b) 7 (c) 1\/3 (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1855 is divided by 288.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 50*i = 55*i - 20. Suppose -3*d = -4*d + i. Suppose t - d*t = -5*l, -t = -5*l. Solve l = -f - f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(r) = -65*r - 369. Let y(h) = -5*h + 8. Let w(s) = k(s) - 4*y(s). What is w(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0352 rounded to 3 dps?\nAnswer: -0.035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let b(l) = 7 - 21 - 2*l + 4*l**2 + l**3 + 6*l**2. Let x be b(-10). Let i(w) = -w**3 + 6*w**2 + w - 5. Let c be i(x). Do 1 and c have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 7995859 by 68.\nAnswer: 7995859\/68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is (4 - 1) + (-6 - 2) + 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y(x) = 5*x**2 - 2*x. Let i(w) = 5*w. Determine i(y(m)).\nAnswer: 25*m**2 - 10*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let q(r) be the first derivative of -5\/4*r**2 - 1\/6*r**3 + 3*r + 20. Factor q(z).\nAnswer: -(z - 1)*(z + 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(o) = -4*o**2 - o. Suppose 3*m + 37 = 2*n - 50, 21 = n + 3*m. Let j = 43 - n. Let v(l) = 13*l**2 + 4*l. What is j*u(c) + 2*v(c)?\nAnswer: -2*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Determine x, given that 67 - 409*x**4 + 41 + 530*x**2 - 841*x + 303*x - 12*x**5 + 550*x**3 - 229*x**4 = 0.\nAnswer: -54, -1, 1\/3, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 6\/(-9)*(-18)\/(-48)*(-4)\/(-2).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o = -5485 - -5510.01. Let n = -25 + o. Let s = 3.01 - n. Which is the second smallest value? (a) 2 (b) s (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -12 in -15410.1, 0.4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let z(m) = -m**3 + 9*m**2 - 5*m - 10. Suppose -126 = -w - 8*w. What is the remainder when z(7) is divided by w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 10339905, 10339903, 10339899, 10339893, 10339885?\nAnswer: 10339875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -76*i + 6039 + 2625 = 0. List the prime factors of i.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(p) = -2*p**2. Let r be 13950\/40 - ((-7)\/(-4) - 1). Let j(z) = r*z - 663*z + 334*z. What is b(j(y))?\nAnswer: -722*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let -5*y**2 + 110*y + 2040 = 0. What is y?\nAnswer: -12, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) 5 (b) -0.3 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 423295619 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 6 and 63439?\nAnswer: 380634","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let y(x) = 3*x. Let k be y(-12). Let z be (3\/k)\/(15\/(-40)). Which is the nearest to -1? (a) 1\/2 (b) z (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 79.95*0.02.\nAnswer: 1.599","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*d = -d + h - 11, 0 = -3*d + 4*h + 31. Let r(m) = 3*m + 4. Calculate the remainder when r(3) is divided by d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -761 + 971. Suppose 3*r = -4*q + 129, 6*r + 21 = q + 3*r. Calculate the highest common divisor of q and j.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 60020.89 milligrams to grams.\nAnswer: 60.02089","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f = 16.98 + -22.18. Which is the closest to -2? (a) f (b) -0.2 (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(x) = x + 1. Let w be 26\/91 - 33\/(-7). Determine p(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8 = k - 5*k. Suppose k*v - 136 = 6*v. Let h be v\/(-12) - 1\/(-6). Solve 5*i = -2*d + 5*d - 5, -h*i - 2*d = 22 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 54503 and 10134399.53?\nAnswer: 10079896.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1648870 divided by 67.\nAnswer: 24610","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*u - 6*u = -27. Let z(j) = 18 + 24 - 38 - u*j. Let l(o) = 5*o - 2. Let g(d) = -d**3 - 9*d**2 + 11*d + 15. Let s be g(-10). What is s*l(c) + 3*z(c)?\nAnswer: -2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let z be 0 - 0\/(-1) - 2. Let g(v) = -v**3 + 4*v + 3. Let n be g(z). Suppose -5*o - 358 = -n*k, 4*k - 6*o = -4*o + 454. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 43344 and 1496400?\nAnswer: 31424400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*l - 3*l + 2*l + 2*l - 2*l + l + (3*l + l - 6*l)*(-5 + 1 + 2))*(-1 - 1 + 4)*(2*l**3 + l**4 - 2*l**3).\nAnswer: 12*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 10 and 33180?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand -2 + 2 - x + (-2 + 0 - 1)*(x + 0*x + 0*x) + 3 - 3 + 2*x + x - x - 2*x + (0 + 3 - 2)*(14*x + 4*x - 2*x).\nAnswer: 12*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 207199 - 22?\nAnswer: 207177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let b(v) = -3*v**2 + 3*v + 7. Let w(g) = 2*g**2 - 2*g - 3. What is 4*b(t) + 7*w(t)?\nAnswer: 2*t**2 - 2*t + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Determine s so that 4\/5*s**2 - 5408\/5*s + 1827904\/5 = 0.\nAnswer: 676","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -158600 rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let a(d) = 2*d**3 - 4*d**2 - 37*d + 82. Calculate the least common multiple of 1408 and a(2).\nAnswer: 1408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 282964867 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 81095 or -2310?\nAnswer: -2310","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -176, 2014, 5668, 10786, 17368, 25414, 34924?\n\"Answer: 732*p**2 - 6*p - 902","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*q**2 + 5*q**2 + 0*q**2)*(-483 + 48*q + 252 + 227).\nAnswer: 48*q**3 - 4*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let b(g) = g**2 + g - 1. Let u(q) = 5 + 14*q**2 - 3*q - 3*q + 2*q. Let f(c) = 5*b(c) + u(c). Is 14 a factor of f(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 6 + -1. Suppose 5*s + v = s + 11, q*s - 22 = -4*v. Let b(a) be the first derivative of -a**4\/4 - a**3\/3 + a**2 - a - 2. What is b(s)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 173072143 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 15\/18*(-30)\/(-75)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*a = 40*j - 35*j - 47, -5*a + j = 31 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*l - 2*l - 4*c = 2, 0 = -l - 4*c - 14. Let z(y) = y - 5. Let s be z(0). Which is bigger: s or l?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2805 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2 in 2, -51, -132, 0.3, -0.12?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Convert -80 (base 12) to base 2.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from wccccccwcc. What is prob of picking 2 c and 1 w?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 146 is divided by 38.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 5 and 16515.\nAnswer: 16515","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(11) - (-3 + (-2 + sqrt(11) - sqrt(11))**2)) + -2 + (-5 + sqrt(55)\/sqrt(5))**2 + -1 + sqrt(11)*-1.\nAnswer: -10*sqrt(11) + 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve m**4\/2 + 1353598*m**3 + 916115126399*m**2 + 1832226192006*m + 1832224838409\/2 = 0.\nAnswer: -1353597, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: -5355133 (base 7) to base 4\nAnswer: -2133102223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -30*t + 9*t - 18*t - 2*t - 24*t - 4*t.\nAnswer: -69*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -x + 3*s = -72392, -6*x = -5*s - 304318 - 130138. What are the prime factors of x?\nAnswer: 2, 31, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(b) = -6 + b + 0 - 2*b. Let u be v(-8). Solve 0*i + 20 = -5*a + 2*i, 8 = -u*a - 2*i for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 129*l - 138*l = -748071. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -10 - -9. Let t(w) = -6*w + 2. Let h(f) = 7*f - 3. Let a(n) = -2*h(n) - 3*t(n). Calculate a(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 4\/(-50)*10\/1.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (-9277*q**2 + 285*q**4 + 9274*q**2 + 86*q**4)*(2 - 2 + 4*q).\nAnswer: 1484*q**5 - 12*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let d(y) = -y**2 + 10*y + 5. Give d(10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is -1040 not equal to -968?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 760950 and -12.3?\nAnswer: -9359685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 45\/2 of a micrometer in nanometers?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -x = 3003*c - 3008*c - 9, -27 = -3*x - 5*c for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 1150 and 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is three tenths of a milligram in micrograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort -25, 13, 1 in decreasing order.\nAnswer: 13, 1, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let s = 2850 - 2850.3. Which is the fourth biggest value? (a) 4 (b) s (c) 0.3 (d) -0.014\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be ((-12)\/27)\/(18\/(-81)). Suppose 0*f + j = -2*f + 282, s*j = 3*f - 423. Is f a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is a68644 (base 13) in base 9?\nAnswer: 7307742","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 5005.0155 * -0.3\nAnswer: -1501.50465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {p: 3, t: 1, o: 3, q: 1, n: 2}. Give prob of sequence tn.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Determine k so that k**3\/4 + 683*k**2\/2 + 6044*k - 29656 = 0.\nAnswer: -1348, -22, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -372, -411, -488, -621, -828, -1127, -1536, -2073?\n\"Answer: -3*c**3 - c**2 - 15*c - 353","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: 1 + 3 + 0 + (3 - 2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 4047 and 21442.\nAnswer: 1222194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is q in -5*q**3 + 4193280*q**2 - 75477505*q + 71284230 = 0?\nAnswer: 1, 17, 838638","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*z + 13 = 5. Suppose 0*s + 3 = s, -3*a - z*s = -51. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 5 - 3)*(-2 + 0*t - t + 0*t).\nAnswer: -t - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-60)\/210 + (-1 - (-62)\/70). Which is the third smallest value? (a) 78\/7 (b) -1\/9 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 192168592 to the nearest integer?\nAnswer: 577","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 - 4 - 5)*(3*i - 6*i - 22 + 2*i).\nAnswer: 10*i + 220","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let y = -1.7 + -9.3. Let h = 103 - 103. Which is the second smallest value? (a) 0.2 (b) h (c) y (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (6 + 7 + 46)*(i**5 - 18*i**5 - 9*i**5).\nAnswer: -1534*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Put 0.1, 3, 135, -0.3 in decreasing order.\nAnswer: 135, 3, 0.1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*k + 5*s + 37 = 0, -2*s = -4*k + 5 + 17. What is the smallest common multiple of 1*((-18)\/k - -9) and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 47066846 to the power of 1\/2, to the nearest integer?\nAnswer: 6861","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Divide -7813 by -648.\nAnswer: 7813\/648","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 987404?\nAnswer: 2, 11, 22441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let g(y) = y**3 - 20*y**2 + 19*y + 2. Let w be g(19). Let b be ((-6)\/7)\/(2\/(-14)). Solve 4*x = -b - w for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.07954776 and -0.5.\nAnswer: -0.03977388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*c = 3*d - 14, -5*c - 21 = 4 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let b = -233 - -276.4. Round b to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 40982.\nAnswer: 2, 31, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let k = 0.0247 + -4.0247. Sort 0.325, 2\/5, k in ascending order.\nAnswer: k, 0.325, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -4782 + 4781.8. Which is the closest to 2\/5? (a) 3\/26 (b) w (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 29\/20 and -103\/1998660.\nAnswer: 1998660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let a = -96.7 + 99. Let w = 37.8 + a. Round w to the nearest integer.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -4 + 6317203?\nAnswer: 63171cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 33*o + 50*o - 198*o + 30*o + 30*o + 27*o + 25*o.\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 40 a factor of 2983404?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -10*q + 116*q = -186*q + 29200 for q.\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 t and 2 x when four letters picked without replacement from {x: 4, t: 3, p: 4}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = r - 6*r - 10. Suppose -3*u + 6*u - 3 = 0. Suppose 2*k = -1 - u. Is k at most r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 369 is divided by 22.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 145556, 291074, 436586, 582098, 727616, 873146, 1018694, 1164266?\nAnswer: 1309868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -t + 5*k + 924, -4*k + 5167 = 5*t + 431. List the prime factors of t.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-1)\/16 - (-26269)\/1744. What is the greatest common divisor of q and 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(h) = 8 + 2*h + 0*h - 2*h**3 - 6*h**2 + 0*h - 4*h**2. What are the prime factors of s(-8)?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 21\/(-196)*10101\/(-26676) and -121\/54.\nAnswer: 8208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-19)\/(855\/(-210))*-3.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1839 divided by 3.\nAnswer: -613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2\/(-6) - (11 - 11).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.1 times -2.14?\nAnswer: -0.214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 5 a factor of 109780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*b + 22 - 4 = 0. Calculate the remainder when 61 is divided by (b\/6)\/(3\/(-42)).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 500 and 158.\nAnswer: 39500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 1\/103 (b) 0.4 (c) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let p be (1560\/(-75))\/(2\/(-5)). Calculate the remainder when p - 1 - 112\/28 is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n**(-11\/2))**(-42)*n**10\/(n\/n**3) assuming n is positive.\nAnswer: n**243","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let p = -0.04 - 3.96. Let h = -0.004 + -0.096. Which is the biggest value? (a) 0.1 (b) h (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:43 PM and 7:11 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + 9 + 1)*(-l + 0*l - 4*l + l + 0 + 0 + (2*l - 2*l - l)*(-3 + 0 + 1) - 9 + 9 + 8*l).\nAnswer: 48*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -7*n + 7*p - 55 = 11*p, 35 = -2*n - 5*p for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify 0 + (sqrt(684) - 4*sqrt(684))**2 + -2 + sqrt(684) + -5 + -5 + sqrt(684)*2 + sqrt(684) + 5.\nAnswer: 24*sqrt(19) + 6149","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 21527 and 4818?\nAnswer: 9428826","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s**(1\/2))**43 assuming s is positive.\nAnswer: s**(43\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-300)\/(-1950))\/(4\/(-52))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o = 0.2 + -0.7. Let i be 2*6\/4*159\/(-477). Which is the closest to -2\/3? (a) -0.1 (b) i (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 78 - 78.113. Let c = a + 0.193. What is the biggest value in 2\/3, c, 0.1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -4\/27 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let a(h) = 4*h**2 + 6*h + 2. Determine a(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 20407 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 2536948753 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let v be -3*(-2)\/(-33) + (-442)\/(-11). Let o(z) = -v*z + 20*z + 17*z + 11*z. Let f(d) = -9*d**2. Give f(o(g)).\nAnswer: -576*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let -2*s**5\/3 + 2924*s**4 - 8764*s**3\/3 - 26320*s**2\/3 + 14618*s - 17540\/3 = 0. What is s?\nAnswer: -2, 1, 4385","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.2 in 11, -3\/46, 2\/97?\nAnswer: -3\/46","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 676 and 25361089.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let w be 6 + 6952\/16 + 2\/4. Suppose 76*v = 83*v - w. Calculate the remainder when v is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 68 + -100. Let s = 2 - v. Is 17 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -9868, -19738, -29608, -39478, -49348?\n\"Answer: -9870*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Divide 2030 by -406.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, -1.27, -3\/2, -2, -367 in increasing order.\nAnswer: -367, -4, -2, -3\/2, -1.27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is (9\/2 - 3)*((-4606)\/(-4653) + 20\/(-18))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 43*l**3 - 15*l**3 - 14*l**3 - 13*l**3.\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*(sqrt(125) + -2 + 0)**2 + (sqrt(60) - (sqrt(960) + sqrt(60)))\/sqrt(12)*1*-1.\nAnswer: -129 + 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*f - 24 = -f. Let z = 44 + f. What are the prime factors of z?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 0 + -7 - -3 - (-9 - -20 - 17).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose v = u, 2*v = -5*u + 18 + 3. Suppose -4*z + 75 = 2*w - 5*w, -u*z + 40 = w. List the prime factors of z.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -24 + 30 - (0 - -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (1\/10)\/((-166)\/830).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-6 - 582\/(-12))*(-4)\/(-60).\nAnswer: 17\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify h**(-5)*h**(-7)*(h*(h\/(h\/(h*((h*h\/((h**8\/h)\/h))\/h)\/h)))\/h)\/(h*h**(1\/5)) assuming h is positive.\nAnswer: h**(-91\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Round -3824303100 to the nearest 1000000.\nAnswer: -3824000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 19332947 is divided by 70.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 137, -278, -971, -1942?\n\"Answer: -139*b**2 + 2*b + 274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let x(w) = 5*w**2 - 1078*w + 32746. What is x(179)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -440 - 704*y + 967 - 874 - 381 wrt y?\nAnswer: -704","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (8 - -6) + 1 - 15.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 39684 and 108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 112\/(-24)*(-4 - -1).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 88*f + 202 - 1456 = 1826 for f.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let a(b) be the first derivative of -2\/3*b**3 + 1\/2*b**2 + 3*b - 10. Determine a(3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be (1 - 0)*-2*-10. Let t = 263 - 258. Calculate the greatest common factor of x and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -158973, -635675, -1430101, -2542251, -3972125, -5719723, -7785045?\n\"Answer: -158862*s**2 - 116*s + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 344685 is divided by 114394.\nAnswer: 1503","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -170*m**2 - 16*m**2 - 169*m**2 + 11*m**2 - 143*m**2.\nAnswer: -487*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} {"text":"Question: Differentiate -431*i - 446.\nAnswer: -431","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Does 2 divide 16715?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:10 PM and 9:07 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2 in 2412, 268, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let u be 1\/5 - 2546\/6030. What is the closest to -10 in u, -0.2, -5, 4\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 107450 to the power of 1\/2, to the nearest integer?\nAnswer: 328","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let b(y) = y**2 - y. Let r be b(4). Suppose 1 = 2*z - 15. Suppose 0*l + z = 3*v - 2*l, 2*v - 4*l + 8 = 0. Calculate the highest common divisor of v and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 338? (a) -15 (b) 0.4 (c) 0 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*i + 23 - 3 = 0. Suppose n - i*t = -16, -3*n - 11 - 9 = -5*t. Let b(o) = -27 + n*o**2 - 2*o + o**2 + 29. Calculate b(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 41 a factor of 4428?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 428517 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let y(j) = 4*j**2 - 8*j + 4. Let u be y(4). What is the greatest common factor of 4 and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 6486*z**4 - 10816*z**3 + 15164*z**2\/3 - 2176*z\/3 + 2\/3 = 0. Calculate z.\nAnswer: 1\/1081, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of (-15)\/(-18)*39*16\/(-180) and 17\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-25)\/(-55))\/((-20)\/330*-3)*6?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 5621 to the power of 1\/2, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1609, -1592, -1551, -1474, -1349, -1164, -907?\nAnswer: -566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -13230423 + 34?\nAnswer: -13230334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is -3780.6 rounded to the nearest 10?\nAnswer: -3780","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is -3328 times 10519?\nAnswer: -35007232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -1187.59 + 0.1?\nAnswer: -1187.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -l*y + 21955*l - 229691*y wrt y.\nAnswer: -l - 229691","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:35 PM and 5:19 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 1a8 (base 15) in base 11?\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -2.52 and -0.465?\nAnswer: 1.1718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (2*j - 4*j + 0*j)*((4 - 5 + 0)*(1 + 2 - 2) - 3 + 3 - 1 - 2 - 1 + 8) to i*j + f and give i.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let n(i) = i**3 + 10*i**2 - 34*i + 55. Determine n(-13).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:21 PM and 9:43 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let d(r) be the first derivative of -r**3\/3 + r**2\/2 - r + 7. Let m(t) = -t**2 + t - 1. Give -3*d(p) + 5*m(p).\nAnswer: -2*p**2 + 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 1337 or 1336?\nAnswer: 1337","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose z - 8 = -4. Let u = 9 - z. Suppose 0 = p - y - 5, -p + 11 = u*y - 12. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 51*b**2 + 29*b**3 - 51*b**2 - 11*b**3.\nAnswer: 18*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 3812276263 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + 1*((-4 + sqrt(200) + -2 - (-1*sqrt(200) - sqrt(200))*-3) + -5)**2.\nAnswer: 1100*sqrt(2) + 5118","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (12 - 4588\/370)*((-186)\/(-69) + -4).\nAnswer: 12\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (48\/10)\/((-34)\/85)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round 21.34 to the nearest integer.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 0.5 (b) 9468 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 3 a factor of (330\/(-11) + 3)*(-13)\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -35910484, -35910486, -35910488, -35910490, -35910492, -35910494?\n\"Answer: -2*z - 35910482","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let o(m) = -58022*m - 2262872. Determine o(-39).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-4)\/18)\/((-1288)\/(-168084)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-3)\/(-4))\/(((-1)\/(-2))\/(248\/(-62))).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p(y) = -y**3 + 4*y**2 + 6*y + 2. Suppose -3*i + g - 10 = 0, 2*i - 3*g + 1 = -1. Let z be 2 + 1 - (-6 - i). What is p(z)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 2921 - 1473. List the prime factors of v.\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -227*z + 410*z + 1232 = 227*z for z.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 n and 2 l when three letters picked without replacement from {o: 4, n: 6, l: 4, p: 1}?\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let f(g) = -g**2 + 18*g - 1. Let l be f(19). Suppose s - 2*d = 2*d - 33, d - 66 = 3*s. Is s equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.031 and -2.\nAnswer: -0.062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 79385*o = 79369*o - 64 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let r = -3839 - -3840. Which is the nearest to r? (a) 1\/5 (b) -1811 (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.24 in -0.5, -1, 35.3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let d be 15\/30*6*1. Solve 5*s - 2*b = -6, -2*b + 15 = -d*s + 3*b for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(s) = 2*s**3 + s + 59. What is the hundreds digit of d(9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-6)\/51 + (-209650812)\/(-102). What is i rounded to the nearest 10000?\nAnswer: 2060000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 210525 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -0.03 (b) -6 (c) 1 (d) 0.3 (e) 2136\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 55 a factor of 90082530?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 7789851369?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let m = 88 + -92. Let u(o) = o + 6. What is u(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: 25 times -0.5983\nAnswer: -14.9575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is (6 - 10) + (-2 + 2 - (4 - 2))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Divide 174018 by -2231.\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 215037494?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let k(l) = l**3 + 8*l**2 - 3. Let y be k(-8). Let o be y*2*2\/(-6). Let x(v) = v - o*v + 2*v. Determine x(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*i - 7 = 4*c + i, c = 2*i - 3 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o\/((o*o**13*o*o)\/o*o))**(-3\/25) assuming o is positive.\nAnswer: o**(9\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from tyytty. What is prob of sequence tty?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 73\/22746 and 145\/419508.\nAnswer: 1590354828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 3977333 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*n - 58887 = -5*t, t - 73593 = -63*n + 58*n. What is the thousands digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 1192.76069 to the nearest one hundred.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} {"text":"Question: What is -2.6 - -2674911?\nAnswer: 2674908.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand (j + 0*j + j)*(4*j + 2*j - 5*j) - 5767*j**2 - 127605 + 127606 - 750*j**2.\nAnswer: -6515*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let c = 308 - -128. What is the hundreds digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -114*h + 117*h = -n - 11, -2*h = -2*n + 18 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 173 minutes after 3:55 PM?\nAnswer: 6:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 305*i = 360*i + 2*y + 260, -2*i = 3*y + 68 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 21905, 22521, 23151, 23801, 24477, 25185, 25931?\n\"Answer: u**3 + u**2 + 606*u + 21297","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 2547677 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let o(h) = 2*h**3 + 10*h**2 + 11*h - 149. Is 16 a factor of o(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -25356, -25336, -25314, -25290?\nAnswer: -25264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let q be (0 - (-17 - -3)) + 2. Solve -4*f = -8*f - q for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/40 of a millennium in years?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 510 is divided by 125.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from {n: 2, b: 5}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 138 is divided by 35.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 22*w - 310 - 196 = 0. Suppose w*o + 440 = 19*o. Which is smaller: -3 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(j) be the third derivative of -j**4\/12 + j**3 - 12*j**2 + 2. Calculate p(9).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 382.0371 + -0.0371. Let v = 386 - a. What is the closest to 1 in v, -0.4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*i - 40 = 5*p, -5*i = -2*i - 5*p - 16 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence hw when two letters picked without replacement from {w: 2, h: 2, u: 8, x: 5, z: 1}?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is c (base 14) in base 5?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -7*b + 29 = -3*b + 3*z, 13*b - 128 = -3*z for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 8*a*o**2*p**3 - 52*a*o**2*p - 3*a*o*p**2 - a*o*p - 15*a*p**3 + a wrt p?\nAnswer: 48*a*o**2 - 90*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*a + 3*a = -s + 73, 3*a - 2*s - 199 = 0. Let f = -4094 - -4117. Calculate the greatest common factor of a and f.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 0.03, -127, -140, 1\/12, -3 in descending order.\nAnswer: 1\/12, 0.03, -3, -127, -140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let q(p) = 10*p**3 + 2451*p**2 + 193*p - 12723. What is q(-245)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -74*k + 6370 - 1042 = 0. Solve 70*b - k*b + 6 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from pprpppppprppffppr. What is prob of picking 1 r and 1 f?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let z = -12406781\/6 + 2062556. Let k = -5227 - z. What is the common denominator of k and -27\/14?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -2.03 + 0.03. Let i be 30\/(-4)*2\/12. Let j = 340 + -335. What is the biggest value in i, j, w?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((n*(n*n**(4\/9)*n)\/n)\/(n*n**2*n*n))\/(n**(4\/5)*n**(-2\/3))*(n**(1\/5)\/n*n**(-2\/7))**(-3\/13) assuming n is positive.\nAnswer: n**(-1997\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3296918.\nAnswer: 2, 19, 53, 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence abpc when four letters picked without replacement from {c: 4, a: 3, v: 1, p: 6, b: 1}.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(392) - 2*(sqrt(392) - -1*sqrt(392)))\/sqrt(7))\/(5*-2*sqrt(288)))**2.\nAnswer: 7\/400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let v(y) = -12*y**2 - 23*y. Let t(q) = -48*q**2 - 92*q. Let c be ((-10)\/(-6) - 2)*0 - 9. Let u(b) = c*v(b) + 2*t(b). Find the second derivative of u(f) wrt f.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 85\/788 and -3\/14.\nAnswer: 5516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 128077513 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: 318536 (base 9) to base 8\nAnswer: 563032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 151*c = 203468 + 2043. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 33 + 475?\nAnswer: 530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4 = -3*l - l. Let f(z) = 6*z - z**2 - l - 5*z + 0*z. Suppose 0 = -5*o + 2*a + 16, 5*o - 22 = 5*a - a. Determine f(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2.75793 take away -6.153948?\nAnswer: 8.911878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let g = 398 - 7564\/19. Which is the second smallest value? (a) 1 (b) 1\/10 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(p) = -4*p. Let v(d) = 10*d + 2*d + 35*d + 4*d + 1. Give v(a(l)).\nAnswer: -204*l + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 q and 1 j when two letters picked without replacement from qqdjqqqdddq.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let l = -178.06 + 180. Let q = l + -1.9400103. What is q rounded to 5 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 1.40569 and 8201.5?\nAnswer: 8200.09431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 307\/197848 or -1\/5?\nAnswer: 307\/197848","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, -5, -329, 0.\nAnswer: -329, -5, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let j(c) = c**2 + 7*c - 6. Let v be (-3 - -1)*4*1. Let z be j(v). Factor -r**2 - 3 + z + 7*r - 5*r.\nAnswer: -(r - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Total of -24 and 133.0477.\nAnswer: 109.0477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let o = -22076.0551 - -22077. Let d = o + -0.68. What is d rounded to 2 dps?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(a) be the third derivative of a**6\/720 - a**5\/40 + a**4\/6 - 4*a**3\/9 + 9*a**2 - 6*a. Factor m(l).\nAnswer: (l - 4)**2*(l - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -q**3 - 50*q + 2*q**2 - 47*q + 95*q + 5 in the form g*q**2 + h*q**3 + y + i*q and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 65992262, 131984534, 197976806, 263969078, 329961350, 395953622?\n\"Answer: 65992272*d - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let z(c) = 21 - c**3 - 41*c**2 - 42*c**2 + 77*c**2 + 5*c + 7. What are the prime factors of z(-8)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 948044151.\nAnswer: 3, 17, 823, 7529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0000210759677 to 5 dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -89 = -2*n + 33. Suppose 23 + 322 = 5*s. Suppose -5*o + n = -s. Is 11 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5*sqrt(243)\/(sqrt(9) + 2*sqrt(9)))\/(-4*(sqrt(576) - -3*sqrt(576) - sqrt(576))).\nAnswer: 5*sqrt(3)\/288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 60478 - (7 - -4) - (5 - 7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: 689.621 + -82\nAnswer: 607.621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let q(f) = 3*f**2 + 3*f - 2. Suppose -6 - 4 = -5*u. Let t be q(u). Solve i + 4 = j, 3*i + t = 5*j + 2*i for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 564\/(-235)*(-10)\/66.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 v, 1 x, and 2 c when four letters picked without replacement from {x: 2, d: 11, c: 5, v: 1}?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let r(n) = -n**3 - 8*n**2 + 10*n - 12. Let k(m) = m**3 + 7*m**2 - 11*m + 11. Let d(j) = 3*k(j) + 2*r(j). Let t be d(-7). Solve 4 + 0 = t*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -15*h = -116*h - 275 - 28 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let x(g) = g**3 - 9*g**2 + 17*g - 9. Let t be x(7). Suppose -28508 = -m + 2*s, -t*m + 2*s = -15*m + 85492. Round m to the nearest 1000.\nAnswer: 29000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3 - 3 - 1455*r**3 + 1198*r**3 + 14*r**2.\nAnswer: -257*r**3 + 14*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Put -0.2, -0.3, 2\/19, -2\/9 in descending order.\nAnswer: 2\/19, -0.2, -2\/9, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 206124, 206013, 205902, 205791, 205680, 205569?\n\"Answer: -111*c + 206235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let s(p) = 2*p**2 - 15*p. What is s(11)?\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1860315 divided by -3.\nAnswer: 620105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 27977 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is (-5 - -4) + -2 + -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 38553?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let q(j) = j**2 - 14*j + 8. Give q(5).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of (25\/35 - 1)\/((-21780)\/16275) and 29\/27.\nAnswer: 6534","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 434249 is divided by 242.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 44792879 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Round 0.020107 to 4 dps.\nAnswer: 0.0201","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from nsoxvss. Give prob of sequence xo.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2? (a) 0.4 (b) -3 (c) -3\/2 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 4886322 is divided by 664?\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let t(n) = n**2 + 119*n - 1724. Determine t(13).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let r = 13 + -11. Put 3, 1, r in increasing order.\nAnswer: 1, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(i) = -7*i**2 + 11*i. Let g(c) be the third derivative of -c**5\/3 + 4*c**4\/3 - 12*c**2. Let z(l) = -6*g(l) + 17*k(l). Determine z(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 68 divide 1875942038?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Factor v**4 + 376*v**3 + 33808*v**2 - 288768*v + 589824.\nAnswer: (v - 4)**2*(v + 192)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -18*r**2\/13 + 118*r\/13 - 60\/13 = 0. Calculate r.\nAnswer: 5\/9, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let i = 0.2 - 4.4. Let g = i - -4.1. Which is the biggest value? (a) g (b) -0.5 (c) 5 (d) -7\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: -10 * -6.64885\nAnswer: 66.4885","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} {"text":"Question: Let b be ((-435)\/2)\/((-3)\/9*(-12)\/(-8)). What is the greatest common divisor of b and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be 4\/10 - 4\/10 - -33. What is the third derivative of 15*s**3 - 27*s**3 - i + 12*s**3 - 2*s**2 + 23*s**4 wrt s?\nAnswer: 552*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -26? (a) 1\/2 (b) 0.68881 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1*(2 + (4 + -4*(sqrt(1331) + 0) + (3*-1*sqrt(1331) - (sqrt(1331) + sqrt(1331) + sqrt(1331)*-1*-3)))*-4)**2.\nAnswer: -14784*sqrt(11) + 3066820","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let l = -601895 - -890812. Suppose -7 - 1 = -4*h. Suppose -5*g = -3*d - 101095 - l, 0 = 3*g - h*d - 234008. What is g rounded to the nearest ten thousand?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-1400)\/(-560)*(-8)\/(-1890))\/(5\/7).\nAnswer: 2\/135","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 321672199 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 1226 and 57009.\nAnswer: 114018","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 2226738330?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let q = -0.046 - -30.046. Let i = q + -29.6. Let w = -26.11 - -26. Which is the third smallest value? (a) w (b) 5 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} {"text":"Question: Let q be 64 - ((-12)\/(-10))\/(18\/45). Suppose -70*x + 18 = -q*x. What is the smallest value in 327, -2\/5, 3\/2, x?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(p) = p + 3. Let o be n(9). Let l(v) = -v**3 + 13*v**2 - 11*v - 8. Is l(o) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*f - 19 - 61 = 0. Let j(t) = -4*t**2 - 24*t + 13*t + f*t - 2. Determine j(-2).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be -178*(-1 + 5 + -11). Let k = i - 866. What is the tens digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 33477 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 18996 is divided by 1735?\nAnswer: 1646","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: 60\/(-384)*16*(-16)\/5\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let r be ((-2)\/6)\/((-2)\/6). Is 6 a factor of (r\/2)\/(2\/40)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4444*n - 148*n + 2740*n + 3260*n.\nAnswer: 10296*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*d = -d + 27. What is the smallest common multiple of (-87)\/d + 4\/(-6) and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 11860 greater than 11862?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 126 a factor of 850535406?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 860 a factor of 11494365?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 191, 274, 413, 608?\n\"Answer: 28*r**2 - r + 164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 1234 - -5?\nAnswer: 1242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is (-8 - -36 - 18) + (7 - (1 - (3 + 1)))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -72 - 532*m**4 - 169 + 494 with respect to m.\nAnswer: -2128*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -t**2 - 18532*t + 556860.\nAnswer: -(t - 30)*(t + 18562)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -1022002 + 11010?\nAnswer: -1010222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*d = d. Solve -n + 5*w + 18 = 0, n - 5*n - 5*w - 28 = d for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(v) = -5*v. What is the units digit of d(-10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(y) = y**3 - 6*y**2 - 8*y - 12. Give l(7).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 21546264 to the power of 1\/5, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Put -70, 5, -118323 in decreasing order.\nAnswer: 5, -70, -118323","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -18*b + 127 = 1. Let h(w) = -3*w - 5. Let n(k) be the second derivative of 5*k**3\/6 + 9*k**2\/2 - 15*k. What is b*h(r) + 4*n(r)?\nAnswer: -r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let h = -292 - -362. Calculate the remainder when 418 is divided by h.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 0 + (4*((sqrt(768))**2 + -3) - ((2*sqrt(192))\/sqrt(4) - (sqrt(1200) + sqrt(1200) + -1))**2).\nAnswer: -13 + 64*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 47*h**2 + 57*h**2 - 126*h**2 + (-2*h + 2*h - h)*(6*h - 3*h - 2*h) - 4*h**2 + h**2 + 0*h**2 to the form l + b*h + a*h**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let u(s) = 16 + 4*s - 7 - 3*s. Give u(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(h) = -2*h. Let q(o) = 99*o**2. Let l(r) = -298*r**2. Let u(t) = -5*l(t) - 16*q(t). Determine u(v(b)).\nAnswer: -376*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 9330 and 5970.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1115410.\nAnswer: 2, 5, 71, 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 14*a + 41 = -44*a + 331 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 1888730*a**3 + 5842527 with respect to a.\nAnswer: 5666190*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is -2020210 (base 7) in base 6?\nAnswer: -5052021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 537*o - 1070*o + 562*o = 348 for o.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Express 4*q**4 + 1 - 4 - 3*q**2 + 0*q**4 + 6 as g*q**4 + d*q**2 + c + w*q + v*q**3 and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Sort -1.1, -3, -4, -1, 4.\nAnswer: -4, -3, -1.1, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let v(y) be the second derivative of -47*y**3 - 5 + 5 + 11*y + 46*y**3 + 37*y. Let b(f) = -1. What is b(x) + v(x)?\nAnswer: -6*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 128, 329, 606, 959, 1388, 1893?\n\"Answer: 38*r**2 + 87*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let r = -265 - -262.77. Let j = 7.23 + r. Which is smaller: -3\/25 or j?\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the billions digit of 2184561605?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -389104, -778275, -1167446, -1556617, -1945788, -2334959?\n\"Answer: -389171*f + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y**(-4)*y**(1\/2))\/(y**0\/(y*y*y**(-6)\/y)) assuming y is positive.\nAnswer: y**(-17\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate 732\/(-488)*(-4)\/(-9).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 4*u + 158*u + 276*u to the form z*u + l and give z.\nAnswer: 438","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*t - r - 5 = 0, 5*r + 11 = -2*t + 2. Let m = 0.005 - 0.125. Which is bigger: t or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(p) = 35*p**2 - 5*p**2 + 12*p**2. Let r(s) be the third derivative of 0 + 1\/60*s**5 + 0*s**3 + 0*s + 0*s**4 - 67*s**2. Determine w(r(y)).\nAnswer: 42*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let w be 2*(2 - 3) + -17. Let j = w - -33. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*n - 1915464 - 1639144 = 3*r, 0 = 4*n - 4*r - 7109228. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -8*i + 17 - 17 as h*i + p and give h.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is (50\/(-25))\/(((-2048)\/(-912))\/64)?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*i - 225844 = -2*d, -d - 5997 + 175380 = 3*i. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -4.567569 - -0.775?\nAnswer: -3.792569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Multiply 10907 and 1.6.\nAnswer: 17451.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -121\/20 and -23\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 838 is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, 2, 30, -26, 4, -13 in descending order.\nAnswer: 30, 4, 2, -2, -13, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let k = 5751 + -5744. Which is the nearest to 0? (a) k (b) -1.2 (c) 0.2 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 55*k**4 - 77*k + 77*k + (2*k**2 + 3*k - 3*k)*(k + k**2 - k) to the form q*k + o*k**4 + h*k**2 + x*k**3 + c and give o.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1253, 2498, 3743, 4988?\nAnswer: 6233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 722642 is divided by 103228.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let o(k) = k**3 - 519*k**2 - 2*k + 1053*k**2 - 526*k**2 - 6. Give o(-8).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*y + 2*y - 5*y + 14797*y**2 + 41545*y**2.\nAnswer: 56342*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Divide -1398 by -1.\nAnswer: 1398","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let u(v) = -v**2 - 55*v - 315. What is the remainder when u(-48) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be (4 - (-4)\/(3\/(-3)))\/(-1). Suppose -9*g + 110 + 70 = a. Let m = 37 - 25. Calculate the lowest common multiple of g and m.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 76, 312, 556, 808, 1068, 1336, 1612?\nAnswer: 1896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -2639 - 4610 = -639*p + 5531 for p.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence pppp when four letters picked without replacement from {u: 5, p: 7}.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let s be -5*510\/(-75) + -20. Let z = -17 + 29. Solve -13*o = s + z for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -27 + 45. Suppose 8*p - g*p = -1230. List the prime factors of p.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:18 PM and 9:19 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -19\/3 (b) 5 (c) -1\/6 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -7*c = 4*r - 10, -3*c = -22*r + 26*r - 2 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 395 and 711?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let m = -72.6 - -72.3. What is the closest to -0.1 in 2\/11, -6, m, 1\/3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 25730929?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Product of 9 and -1841476.\nAnswer: -16573284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4 + (sqrt(1872) + -1 - sqrt(13)) + -3*-5*-2*sqrt(13) + 5.\nAnswer: -19*sqrt(13) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let k = 0.5 - 0.49. Let t = k + 0.09. Let x = -40557 + 40554. Put x, t, -31, -2 in decreasing order.\nAnswer: t, -2, x, -31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -3*p**2*s**3 + 9*p**2*s**2 + p**2*s - 580*s**3 - 140*s wrt s.\nAnswer: -18*p**2 - 3480","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*c = -l - c + 44, c = 5*l - 220. Calculate the highest common factor of 4 and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 5818*l + 621.\nAnswer: 5818","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let g(k) = -k + 36. Let f be g(0). Let c be f\/84 - (-1524)\/(-21). Let u = 70 + c. Which is smaller: u or 0.1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Total of 4 and 41.50908.\nAnswer: 45.50908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*(-2*(sqrt(475) + 0) + 2*(1 + 0 + sqrt(19)))**2.\nAnswer: -96*sqrt(19) + 3660","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 1\/(1 + 210\/(-211)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (12650\/(-220))\/23*4\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 = s - f, -20 = -f - 4*f. Suppose 0*v + s*v - 10 = 0. Suppose -1338 = -529*i + 83*i. Solve -9 + i = -v*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -5116\/153 - -302\/9. Put u, -31, 8\/7 in increasing order.\nAnswer: -31, u, 8\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -57 + 57. Suppose 2*f - 37 = -j - 0*j, 4*j + 5*f = 136. Let y = j + -27. Solve -v - l - y = x, -l - 2 = -v - 0*l for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -2\/9 bigger than -1\/85?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 175013520 and 2200?\nAnswer: 875067600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -4\/3 (b) 3 (c) -3 (d) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Are 0 and -1\/140 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 73*j**3 - 1 + 1 - 80*j**3.\nAnswer: -7*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is six fifths of a meter in centimeters?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 13*p - 12 + 12 = 0. Suppose 5*w + 5*u - 15 = 0, p = 5*w - 2*u + 4 - 12. Let x(o) = o**2 + o. Give x(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 145500 is divided by 1427?\nAnswer: 1373","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*v = -0*v. Let d(u) = u**2. Let r(k) = -3*k**2 - k + 15. Suppose -4*p + 24 = -10*p. Let l(g) = p*d(g) - r(g). Determine l(v).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*s = -2*f + 30, -s = 1158*f - 1163*f + 21. Put 0, f, -47 in descending order.\nAnswer: f, 0, -47","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1050325982 to the power of 1\/2, to the nearest integer?\nAnswer: 32409","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 643 minutes after 2:20 PM?\nAnswer: 1:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 195, 398, 615, 852, 1115?\nAnswer: 1410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*j + 6 - 16. Let x(i) = -15*i + 4. Let k be x(2). Let a = k + 35. What is the smallest common multiple of a and j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -132311010112 (base 4) in base 7?\nAnswer: -125456524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 22 + -10?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is -166 times 0.073?\nAnswer: -12.118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let u(o) = 42*o**2 + 14*o - 29. Let s(y) = 15*y**2 + 5*y - 10. Calculate -11*s(m) + 4*u(m).\nAnswer: 3*m**2 + m - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -67*x - 45*x + 139*x.\nAnswer: 27*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let i = 21 - 16. Suppose -3*g = -i*g + 172. What is the tens digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 7 a factor of 2296056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: (567 - 566) + (-2 - 66) + 3\/((-9)\/(-30))\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-16 - 220*z + 223*z + 1)*(0 + 1 - 4) to u*z + h and give u.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many centimeters are there in 117.8609um?\nAnswer: 0.01178609","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 620 is divided by 57.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -254 - 1869*v + 1869*v + 131 - v**3.\nAnswer: -v**3 - 123","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let q(l) = 32*l**3 - 8*l**2 - 25*l + 13. Is q(10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 6605731 to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let c(o) = -o**3 - 12*o + 2. Let d be c(-4). Let g be 3\/9 + (-491)\/(-3). Let s = g - d. Is 25 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.5 and 16116049.\nAnswer: -8058024.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let a(u) = 29 - u - 13 - 17 + 3*u**2 + 2. Determine a(7).\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 184\/17*k - 360\/17 - 2\/17*k**2 = 0. Calculate k.\nAnswer: 2, 90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -46*f**4 + 4*f**3 + 4*f**2 - 27?\nAnswer: -1104*f + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: 0.3*-859370\nAnswer: -257811","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*t = -12, -57*w + 3*t + 48816 = -53*w. What is the thousands digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-3423)\/978)\/(2*-2)\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 983482272?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -762 + 723 + 0 + (-21 - -2).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j = -42 + 64. Let k = -109 - -125. What is the smallest common multiple of j and k?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 28391*l**5 + 13*l + 619 wrt l?\nAnswer: 567820*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 17378 divided by -100.\nAnswer: -8689\/50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {r: 3, o: 3, z: 2, x: 1, q: 7, v: 2}. What is prob of picking 2 r, 1 v, and 1 q?\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 111101101100 - -1000000?\nAnswer: 111110101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (58 - -2) + (-50 - -53) + -18.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -636*s**2 + 319*s**2 + 317*s**2 - 21*s**3.\nAnswer: -21*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 1511 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2574047 is divided by 234002?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*k - 2*d - 8, k + 0*d = 4*d + 16. Suppose 5*f = -2*v - 27, 0*f - f - 5*v + 13 = k. Let s = f + 15. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 358 divide 3461794?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let r(k) = 3*k - 5. Let c(n) = 2*n - 3. Let s(o) = 5*c(o) - 3*r(o). Suppose 12*b = -2202 + 7158. Let l(v) = -414 - v**2 - b + 827. What is l(s(g))?\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -8*i + 10 = -3*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1407, 2987, 4565, 6141, 7715, 9287, 10857?\nAnswer: 12425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is -c (base 15) in base 6?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j(f) = 2327*f - 2236. What is the units digit of j(15)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -829, -825, -819, -811, -801, -789, -775?\nAnswer: -759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 4 (b) 0 (c) 1\/7 (d) 1\/8 (e) 9 (f) 147\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let w(c) be the third derivative of -c**5\/60 - 7*c**4\/24 - 3*c**3\/2 + 15*c**2 - 11. Give w(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*z + 24 = -z - 2*g, -4*z + 5*g = 52. Let h be 1 - ((-34)\/z - 3). Is h >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*g**2 + 164320*g - 3375132800.\nAnswer: -2*(g - 41080)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -7\/664 or 1?\nAnswer: -7\/664","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1183062 is divided by 365?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 78*r**6 + 346*r**2 + 2*r - 11*r + 9*r wrt r.\nAnswer: 9360*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be 41 + (-4)\/(-1) + -1 + -1. Suppose 2*o - x - 45 = 0. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -0.1, -0.03, 1, 1\/34, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let u = -43 - -44. Let f(j) = -10*j + 1. Calculate f(u).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-65 + 46 + 48)*(-2*t + 0*t + 0*t).\nAnswer: -58*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let y be 18\/6*(1 - (-20)\/(-15)). Let v be -9*3\/(-9) + y. Determine b, given that v*b + 2\/5*b**3 + 8\/5*b**2 + 4\/5 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*b**2\/7 + 245372*b\/7 - 7525927298\/7.\nAnswer: -2*(b - 61343)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 93473 is divided by 412?\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let k be ((-4)\/6)\/((-6)\/(-684)). Let n = k - -83. Which is the closest to 0? (a) 0 (b) n (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2515377 divided by -36.\nAnswer: 838459\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -607, -624, -639, -652?\nAnswer: -663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify d\/d**(2\/5)*d\/((d**(1\/44)\/d)\/d) assuming d is positive.\nAnswer: d**(787\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0*-0.09.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r**3*r**(-3))**17 assuming r is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3*-0.079.\nAnswer: 0.237","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 2, -1, 0.4, -0.0421?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1912 is divided by 602?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let t = 1781 + -410. List the prime factors of t.\nAnswer: 3, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(k) be the second derivative of k**7\/35 - 2*k**3 + 6*k**2 - 4*k. Let c(x) be the first derivative of i(x). Differentiate c(v) with respect to v.\nAnswer: 24*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(w) = 2*w**2 + 4*w - 5. Let t(n) = -40*n. Let r be t(-2). Let c = 74 - r. What is the remainder when b(c) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(z) = z**2 + 7*z + 3. Let i be k(-7). Solve n + 3*n + i*l - 2 = 0, -3*n + 3 = 3*l for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 + 2 = l. Find the second derivative of -l*g**2 + g**2 - 4 + 2771*g + 3*g**4 - 2770*g wrt g.\nAnswer: 36*g**2 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*v + 4*j - 18636 = 0, -4*v - 18642 = -8*v - j. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((h**(-1)\/h*h)**(2\/9))**(-2\/69) assuming h is positive.\nAnswer: h**(4\/621)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let g = -183 + 182.2. Let o = g - 0.27. What is o rounded to zero dps?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 12742?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 9709 is divided by 3021?\nAnswer: 646","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let h(w) = -5*w**2 - 8*w. Let s(v) = v**2 + v. Let f be 16\/(-88) + 13\/11. What is f*h(t) + 6*s(t)?\nAnswer: t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is (4 + -4 - (12 + -18)) + -2 + -12?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {s: 2, f: 7, z: 2}. What is prob of picking 2 z?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is -171472 divided by 28?\nAnswer: -6124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 69 minutes before 7:16 AM?\nAnswer: 6:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from sosock. Give prob of sequence sc.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) = -292*g - 297. Let c be j(-1). Let t(r) = 67*r**2 + 13*r + 5. Let z(m) = -66*m**2 - 13*m - 4. Let q(x) = 4*t(x) + 3*z(x). Is q(c) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: (-284)\/408 - 324\/(-11016)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*o + 15 = -o. Suppose -9 = -5*v - 2*b + 3, -5*v = 3*b - 13. Let x = v - o. Solve 5*n + 0*y - 13 = y, -x = n - 5*y for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from xmyqkmcc. What is prob of picking 2 c, 1 k, and 1 q?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand -3 + 3 - 10*h**4 + (-5*h + 5*h + h**2)*(-25*h**2 - 16*h**2 + 7*h**2).\nAnswer: -44*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let u(z) = -z**2 - 12*z + 68. Let c be u(-16). Solve 0 = 5*n + c*y - 0*y - 3, 2*n + 8 = 3*y for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.4 * -366120\nAnswer: 146448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Express z**2 - z**3 + 8*z + 10*z - 16*z as w + p*z**2 + b*z + y*z**3 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of ((-44)\/(-55))\/((-6)\/(-105))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 73 a factor of 171485898?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -14 + 4?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -2.8 and 73735718?\nAnswer: 73735720.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1.7? (a) -4\/5 (b) 5 (c) -5 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 195 minutes before 11:37 AM?\nAnswer: 8:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate (10\/(-6))\/(52\/(-39))*-4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -2*p - 10*r - 80, -559*p = -281*p - 275*p + 4*r + 65 for p.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-5 + -1)\/(231\/10). Let z = v - -6\/11. Factor -z*l**2 - 2\/7*l + 0.\nAnswer: -2*l*(l + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {u: 1, t: 3, r: 7, i: 1, f: 1}. What is prob of sequence tf?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -3\/4? (a) -384 (b) 5 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 26572.\nAnswer: 2, 7, 13, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Sort -2\/11, -0.1, 5, -64 in decreasing order.\nAnswer: 5, -0.1, -2\/11, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let u(i) = i**2 - i + 46. What is the remainder when 217 is divided by u(0)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (28 - 1) + (-2533 - -2359).\nAnswer: -147","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 626439031*f**4 + 215097315*f**2?\nAnswer: 15034536744*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let p = -39 + 42. Let y = 198 - 171. What is the lowest common multiple of y and p?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -1510 - 45*l + 1508 - 3*l**3 + 5*l**3 - 3*l**2 - 3*l**3 to d*l**2 + h*l + s*l**3 + o and give h.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let j = -8605 + 8601. Let p = -8.02 + 0.02. Let o = 75 + -376\/5. Which is the third biggest value? (a) j (b) o (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(k) = -k**3 + 11*k**2 - 8*k - 25. Suppose 2*a = -3*p + 29, 9*a - 11*a + 3*p + 11 = 0. Calculate w(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 6817147\/184872 - -1\/23109. Let f = 37 - i. What is the smallest value in -1\/2, -2, f, -0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: (-292864)\/45056*(-10 - -2 - 2)\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (1 - -1) + (-2 - -1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 1\/3, -21124441, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let x = 15 + -11. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: -25917 divided by -3\nAnswer: 8639","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 821597 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -6*r**2 - 5*r**2 + 12*r**2 + 10*r**2 - 10*r**2.\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.4? (a) -1\/50 (b) -5 (c) -11\/5 (d) 58\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-15)\/(-3) - 0\/(-1). Let z = -10 + 50. What is the highest common divisor of l and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 815 and 33221845?\nAnswer: 815","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let m(o) = -o - 2. Let r be m(-3). Let u = 121 - 100. Suppose -5*g = 3*w - 21, 9*g = 8*g + 5*w + u. Is r >= g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 1.978 - 2.278. Is -0.228 != o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*v - 4*w = 18, w + 123 - 111 = -7*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -3.3, 98, -1, 4, -3?\nAnswer: 98","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Convert 8135 (base 11) to base 14.\nAnswer: 3d1d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is p in 5*p**4 - 33220*p**3 - 399180*p**2 - 1197920*p - 1064960 = 0?\nAnswer: -8, -2, 6656","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.1 in -1125, 220\/23, 5\/4?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Divide -32 by -1.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let y = -8338.999996307 - -8339. What is y rounded to seven dps?\nAnswer: 0.0000037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*x - 5*h + 2 = 0, -2*h - 5807 = -2*x - 5797 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 14162*a**2 - 253*a**4 - 14162*a**2 + 537 wrt a?\nAnswer: -1012*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 2240 and 34096?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 2\/9 (b) 0.7 (c) 1\/3 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 111*m + 74*m = 7585. What is the remainder when 502 is divided by m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 6*t**4 + 3*t**5 - 6*t**4 + (-t**4 + 4*t**4 - 5*t**4)*(t - 3 + 3) + (-t**4 + 2*t**4 - 3*t**4)*(-4*t + 0*t + 0*t).\nAnswer: 9*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let j = 1134 + -1129. Solve -5*p + j*i = 0, -2*i - 2*i - 3 = -3*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is thirteen quarters of a millennium in years?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 128 minutes after 6:00 PM?\nAnswer: 8:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*m = -6*m + 32. Find a, given that 0*a - 8*a**2 + m - 4*a - 2*a + 4*a**3 + 2*a = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (2 + 10)\/24 + 90\/4. Suppose -2*s - 10 = -5*l + 1, -4*s - 5*l = -r. Solve 0 = 2*t - s*t - t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(o) = -33*o - 9. Let f be c(-2). Let a = 61 - f. Calculate the highest common factor of 2 and a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-9 + 4 - 19)*(-2 + 5 - 4) + (2 - 1 + 1)*(3 - 2 - 2))*(1 - 1 - b)*(2 + 2 + 1).\nAnswer: -110*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -180532514*g**6 - 4*g**5 - 587436100*g**2.\nAnswer: -21663901680*g**3 - 240*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let b(g) = -873*g + 27. Let n(p) = 3*p - 6. Determine b(v) + 5*n(v).\nAnswer: -858*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let r be ((-4)\/6)\/(3\/9). Let g be (-2)\/(r\/6*-3). Put g, 2, 5 in ascending order.\nAnswer: g, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*l + 68 = -4*l + 25*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2114581986.\nAnswer: 2, 3, 11, 10679707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let j(q) = 3*q**2 + 47*q - 28. Let y be j(-24). Calculate the greatest common divisor of 44 and y.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*p + 3*n = -n - 280, 2*p = 2*n - 156. Let h = p - -140. Calculate the highest common factor of h and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 11104704 a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Divide -17648364 by -318.\nAnswer: 55498","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, -0.1, 53.\nAnswer: -0.1, 2, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -2264*v**4 + 13*v - 161506?\nAnswer: -9056*v**3 + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Express -50*r**3 - 56*r**3 - 54*r**3 + 211*r**3 - 49*r**3 - 60*r**2 in the form i*r**2 + y*r**3 + v*r + o and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many kilometers are there in 5.622625um?\nAnswer: 0.000000005622625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -1121222210 - 20?\nAnswer: -1122000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 453 minutes after 5:18 AM?\nAnswer: 12:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let z(y) = 4*y - 2. Let i be z(-2). Does 18 divide ((-68)\/i)\/(2\/10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(n) be the third derivative of -n**6\/150 + n**5\/75 + 13*n**4\/6 + 42*n**3\/5 - 12*n**2 - 3. Factor y(m).\nAnswer: -4*(m - 9)*(m + 1)*(m + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(l) = -5*l + 1. Let a be q(-1). Suppose 4*o + a = 3*d - 9, -14 = -5*d + 3*o. What is the remainder when 3 is divided by d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(l) be the first derivative of -l**4\/6 + 2*l + 2. Let d(r) be the first derivative of u(r). Let f(x) = 3*x. Give f(d(m)).\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 328 + -3?\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let a be (0 - (-1)\/2)\/(1\/4). Let s(l) be the first derivative of 1\/4*l**4 + 1\/3*l**3 + 0*l + 0*l**a + 2. Determine s(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2000*x = -2011*x + 66 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x**(2\/3))**(-22\/3)*(x*x**4)**(-2\/39) assuming x is positive.\nAnswer: x**(-602\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 350 and -37434?\nAnswer: 37784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2439102 is divided by 3890?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let l = -6 + 10. Suppose -5*j + 18 = -l*w, -w = 2*j - 0*j - 2. Solve 0 = -b - j + 6 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 974*m - 3212*m - 2332 + 6808. Factor 2\/17*z**m + 0 + 4\/17*z.\nAnswer: 2*z*(z + 2)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*t - 2*t = -3. Which is the second smallest value? (a) t (b) 2\/7 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 96 + -57. Let y = -41 + r. Let k = 6 - 8. Which is the closest to y? (a) 4\/3 (b) -0.4 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3 = 3*b, 0 = 10*j - 6*j + 3*b - 9. Suppose v + 2*y - 832 = -j*v, 414 = 2*v + 2*y. Calculate the greatest common factor of v and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-112)\/(-21)*(-23)\/2898*-81. Determine v so that 54\/7 + d*v + 2\/7*v**2 = 0.\nAnswer: -9, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 15\/(-5)*40\/24?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 61*i = 60*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 2\/(-11) + (-23240)\/(-44) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + (-5 + 1*(sqrt(1377) + sqrt(1377) + 1*sqrt(1377)*4 - sqrt(1377)) + -3)**2*4.\nAnswer: -2880*sqrt(17) + 137951","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let k be (0 - (-1 + 2))*-1 - 0. Solve -k + 8 = -7*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -167 - -113. Let i = n - 28. Is -82 less than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -61*c*h*i + c*i**3*q + 72*c*i*q - c*q + 2*h*i**2*q - h*i**2 + i**3 wrt q.\nAnswer: c*i**3 + 72*c*i - c + 2*h*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Does 10 divide 849\/18 - -3 - 1\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -5 (b) -28.53 (c) -0.149\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 21261 rounded to the nearest 1000?\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let i(s) = -22*s + 47. What is the units digit of i(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 9 - 10741?\nAnswer: -10734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -3 - 964\/(-154) - (-6)\/(-2) and (-429)\/2*14\/882?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -29*m + 18 = -11*m. What is the closest to m in -5, -1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (6*n + 10*n - 5*n)*(1 + 2 - 5) to the form i + y*n and give y.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:45 PM and 9:33 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let m(k) = -k**2 + 16*k - 38. Give m(13).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 468 minutes after 12:15 PM?\nAnswer: 8:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let k(a) = -a**3 + 20*a**2 - 17*a - 31. Let v be k(19). Solve v*j - 9*j = 2 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4463 to the power of 1\/2, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 4606 and 441?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -21315, -21316, -21317, -21318, -21319?\n\"Answer: -c - 21314","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let m(t) = -2*t**2. Let d = 1 + 11. Let h be (-47)\/(-7) - d\/(-42). Let q(j) = -j + 0*j + h*j + 0*j. What is m(q(i))?\nAnswer: -72*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -33*m - 150*m + 124356*m**2 - 124566*m**2 wrt m.\nAnswer: -420","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: -195.135 + -0.4\nAnswer: -195.535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 34*k*p**3 - 194*k*p**2 + 2*k - 64104*p**3 wrt k?\nAnswer: 34*p**3 - 194*p**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 1621, 1623, 1629, 1639, 1653, 1671, 1693?\n\"Answer: 2*h**2 - 4*h + 1623","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 7566104 is divided by 2666?\nAnswer: 2662","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let v(b) = b**3 + 6*b**2 - b + 1. Calculate v(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let h = -1.1 - -1. Let g = 54 + -53.7. What is the closest to 1 in 3, g, h?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*x = d + 41, 0 = 11*x - 16*x - 25 for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*s + 7 - 4 = -q, -2*s - 3*q - 9 = 0. Solve -3*d + s = -15 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 320 minutes after 3:20 AM?\nAnswer: 8:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0000604017543 to seven dps.\nAnswer: -0.0000604","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.3? (a) 1455 (b) 2 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*w - 4*f + 12, -5*w + 18 = 3*f + f. Let b be 46\/w - (-16)\/(-24). What is the highest common divisor of 28 and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 4 - -10333?\nAnswer: 10340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let m(s) = -62*s**3 + 4*s + 5. Let x be ((-1)\/2)\/(15\/60). Let v be m(x). Let w = 786 - v. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -28, -47, -40, 5, 100, 257, 488, 805?\n\"Answer: 2*i**3 + i**2 - 36*i + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let d = 4 + 16. Suppose -5*p + 31 = 2*z, -5*p + 0*p + 16 = -3*z. Suppose z*r - y = 63, 6*r - 125 = r - 5*y. What is the lowest common multiple of r and d?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*a + 4*r - 494 = -494, -42 = 6*a + 3*r - 2*r for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 8\/28017 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let p(x) = -x**2 - x - 1. Give p(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -144 - 166 = -2*l. Calculate the highest common divisor of 62 and l.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1\/3490215 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let r = 0.49 - -0.01. Let v = -170 - -165. Which is the closest to -1? (a) 2\/43 (b) r (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 23896?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*r = -4*u + 16, -4*r + 6*r + 3*u = 12. Suppose r = 2*o + 3*o - 40. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 6740 and 140?\nAnswer: 47180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 8*v - 51*v - 559 = 0 for v.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Sort 1\/10, 5, -0.886, 21 in decreasing order.\nAnswer: 21, 5, 1\/10, -0.886","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 8 and 2012?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 3 - 0 - ((-2 - -10) + -3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence eeee when four letters picked without replacement from peeeeeee?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 2 - -58?\nAnswer: 5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let k(p) = -2*p**2 + 53*p + 21. Give k(24).\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: 271 divided by -106\nAnswer: -271\/106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Does 0 = 73\/10789857?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1013988484 to the nearest integer?\nAnswer: 31843","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let z(h) = -12*h**2 + h. What is z(2)?\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 1\/3 (b) 0.0189 (c) -1 (d) -8\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 7613 times 0.3?\nAnswer: 2283.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -25.835 rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8 = -2*i, -5*q + 4*i = -i + 10. Suppose -2*s + s + 34 = 0. Suppose 0*d - q*d = -s. Calculate the remainder when d is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 95*d**3*y**2 + 1392258*d**3 + 123*y**2 + 1085199*y wrt d.\nAnswer: 285*d**2*y**2 + 4176774*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let h be -3*(1 + (-16)\/6). Suppose 3*n = -2*n - 10. Sort n, h, 3 in ascending order.\nAnswer: n, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 115, 1, -5, -4, 2.\nAnswer: -5, -4, 1, 2, 115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let t(v) = -6*v**3 + 77*v**2 + 26*v - 145. What is t(13)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-2)\/(-7) + 24170\/(-70). Let l = p + 3113\/9. Factor -l + 2\/9*t**2 + 0*t.\nAnswer: 2*(t - 2)*(t + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(45)\/(sqrt(99)\/(sqrt(55)\/sqrt(5))) - (sqrt(5) + -1 + -1 + -4))**2*2.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*j - 8*j + 189 = 0. Let t = j - 34. Solve 25 = 5*g - 5*i, 4 = -5*g - 4*i + t for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-2*(-42)\/(-9)*(-4464)\/868)\/2?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 7144 in -5, 5, -1\/2, 0, -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1\/3 in 2\/7, -0.54, -4, -18\/11?\nAnswer: -0.54","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 643 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -134, -226, -320, -416, -514, -614, -716?\n\"Answer: -k**2 - 89*k - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Express 2 + 7*s + 2 + 3 - 3 as w + d*s and give d.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 756 = 411*u - 415*u. Let p be (1 - 33\/6)*168\/u. Solve -2*i + p = 8 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 19*y = -5 + 81. Suppose 4*t + 4*n - 368 = -t, -2*t + 150 = 3*n. Let x be t\/(-154) + (-2)\/(-7). What is the biggest value in x, y, -2, -1\/16?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2801281 times -17.8?\nAnswer: 49862801.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 1709 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let n = 38 + -28. Solve 4*j - 2*c - c - 14 = 0, 3*c = 2*j - n for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -0.04 + 4.04. Let f = 0 - 4.3. Let p = f + j. What is the closest to 0.1 in -0.2, p, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be 84\/(-1) + (-7 - -10). Let w = -81 - c. Let l(t) = -t**3 - 2*t + 3. Let d be l(w). Solve -4*h - h - 5*b + 25 = 0, 17 = -d*h + 5*b for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (n**2 + 5 - 5)*((-5 + 2 + 2)*(-3 - 3 + 4) + (2 - 1 + 1)*(222 - 20 - 6) - 1 - 1 + 1 - 1 - 2 + 1) as g*n**2 + v*n + c and give g.\nAnswer: 391","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -374, -389, -404, -419?\n\"Answer: -15*k - 359","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2812140.\nAnswer: 2, 3, 5, 17, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 46d1 - -6?\nAnswer: 46d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 3*b*m**2 + 1554*b*m*z + 2*b*z + 96801*m**2 + m*z - 2*m wrt b.\nAnswer: 3*m**2 + 1554*m*z + 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Factor -v**5 - 6*v**4 - 8*v**3 + 6*v**2 + 9*v.\nAnswer: -v*(v - 1)*(v + 1)*(v + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-5*-2*sqrt(17)*4 + sqrt(136)\/((2*sqrt(56))\/sqrt(7) + sqrt(8)) + -2)*-1)**2*3.\nAnswer: -484*sqrt(17) + 248933\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*v**4 - v**4 - v**4)*(-6*v + 5*v - 6*v) + (3*v**4 + 2*v**4 - 3*v**4)*(-1 - 2*v + 1) - 2*v**2 - v**5 + 2*v**2 + 2*v**4 - 2*v**5 - 2*v**4.\nAnswer: 7*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify 0 + ((2*((sqrt(132)*-2 + sqrt(132))*4 + sqrt(132) + sqrt(132) + sqrt(132)))\/(sqrt(144)\/(sqrt(36)\/(sqrt(3)*2))))**2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let l(v) = 17*v**2 - 6*v - 10. Let g(f) = 4*f**2 - 2*f - 3. Let t(w) = 6*g(w) - l(w). Let z(u) = 1 - u**2 + 0*u - u + 2*u. Give t(i) + 6*z(i).\nAnswer: i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 2 + 6 = -2*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Does 295 divide 63973?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((b\/(b\/b**(-2\/21)))\/b**(1\/5))\/(b\/b**3*b\/(b*b**(-4\/3))*b) assuming b is positive.\nAnswer: b**(-22\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let i(a) = -5*a + 10. Let d be i(5). Let x be -6*((-25)\/d + -1). Let o be ((-2)\/4 - (7 - 7))*x. Solve -s = 3*v + 2 + o, 4*s = -3*v + 2 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*b - 8*b = 2*t - 13, -5*b = 5*t - 15. Suppose 1110 = b*i - 2152. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -18 - -10 - (-18 - -2) - (-177 - -179)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s(k) be the second derivative of 3*k**5\/10 + 2*k**2 - 6*k. Differentiate s(g) wrt g.\nAnswer: 18*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -252444 by -1.\nAnswer: 252444","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let s = -67.8593 + 67.9492998. Let i = s + -0.09. What is i rounded to seven dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in s**2 - 4599651*s + 4599651*s.\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 104.01233 rounded to zero decimal places?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let g(b) = -25*b + 37. Let q(t) = 9*t - 13. Let y(z) = 4*g(z) + 11*q(z). Determine y(10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) = -q**3 + q**2. Let x(w) = 5*w**3 - 12*w**2 - 13*w - 14. Let m(y) = 6*f(y) + x(y). List the prime factors of m(-5).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(i) = -62*i**3 - 5*i**2 - 5*i - 5. Let m(x) = 31*x**3 + 2*x**2 + 2*x + 2. Calculate 5*m(j) + 2*o(j).\nAnswer: 31*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 244 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 246 minutes after 4:00 AM?\nAnswer: 8:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let s(o) = 9*o**2 - 385*o + 1081. Calculate s(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let z be -9*2\/(-3) + 1. Let l be z\/(-4)*4*-7. Calculate the greatest common divisor of 7 and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -1 * -0.3.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -49*x + 55*x + 264 = 0. Let g = -43 - x. Calculate the remainder when 4 is divided by g.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 672 minutes after 12:14 PM?\nAnswer: 11:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-105)\/(-1155) - 76\/(-11).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -10\/329? (a) -3 (b) 1 (c) -0.0738 (d) 0.3 (e) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Round 3775 to the nearest one hundred.\nAnswer: 3800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let y(r) = -r**2 - 37*r - 254. Give y(-28).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j\/j**(-3)*j*j**(1\/5)*j)**40*j\/(j\/(j*j**6))*(j*j**3)\/j*j**(-1\/2)*j*j*j**2*j*j assuming j is positive.\nAnswer: j**(527\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*c + 0*y + 3 = -3*y, 2*c = 2*y + 18. Suppose -2 = -c*t + 6. What is the third derivative of -3*k**3 + 0*k**3 - k**t + 5*k**3 wrt k?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*k = 3*k. Suppose 0*s - s + 2 = k. Factor 2\/7*w**s + 2\/7*w + 0.\nAnswer: 2*w*(w + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -41\/94 and 67\/18284036.\nAnswer: 859349692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let y(v) = v**2 + 287*v + 2224. Determine y(-8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is -2.1 times 4?\nAnswer: -8.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Total of -7 and -148831.\nAnswer: -148838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let m(r) be the third derivative of -r**6\/120 - r**5\/60 - r**4\/12 - r**3\/6 + 61*r**2 + 2*r. Let c(z) = -3*z + 4. Let w be c(2). Calculate m(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 66234273 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*f + 11 = -3*v, 2*f + 6 = 4*v + 4. Which is the closest to 0.2? (a) v (b) -5 (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -66*h + 640 = 62*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 687.7868 weeks in microseconds?\nAnswer: 415973456640000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 8 (b) -3\/2 (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 1\/315 and 73\/3.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 19270 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let j(s) = -s**2 - 25*s + 208. What is j(8)?\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let l = -878 - -876. Let j = -0.1 + 0.5. Put j, -4, -5, l in ascending order.\nAnswer: -5, -4, l, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(t) = 236*t + 13812. Determine j(-58).\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let x be ((-15)\/25)\/(6\/(-8)). Factor -2\/5 + x*g**3 - 4\/5*g**2 - 6\/5*g + 6\/5*g**4 + 2\/5*g**5.\nAnswer: 2*(g - 1)*(g + 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) be the first derivative of -4*g**3\/3 - 4*g**2 + 60*g - 72. Factor j(z).\nAnswer: -4*(z - 3)*(z + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 20869 is divided by 20340?\nAnswer: 529","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 10 minutes before 4:50 AM?\nAnswer: 4:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let o = 36\/19 + -2. Let r = 3 - 2. What is the biggest value in -2\/15, r, o?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(p) = 10*p - 66. Determine v(10).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4477 + 28310*n - 28310*n + 4477 - 3*n**3.\nAnswer: -3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let d be 95\/(-100) - (-1)\/5. Let f be 11\/(-7) + 7\/(28\/8). Let l = f + -1\/7. Which is the second smallest value? (a) l (b) d (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 28? (a) -2 (b) -1\/4 (c) 14 (d) -32 (e) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let x(v) = -v**2 + 11*v - 19. Let a be x(8). Does 10 divide (-16)\/(-4)*a\/1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -3473827, -6947653, -10421479, -13895305?\nAnswer: -17369131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let g(y) = y. Let f(i) = 6*i. Let a(z) = -f(z) + g(z). Let s(j) = 10*j**2. Determine s(a(d)).\nAnswer: 250*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let g = -6 + 9. Let j = -2.9 + g. Let z = 0.10000016 - j. Round z to 7 dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -60*b + 204 - 984 = 0 for b.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Are -3406 and -3408 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Divide -3 by 4766335.\nAnswer: -3\/4766335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence xx when two letters picked without replacement from fbxxnxbnbfxbb?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand -b**5 + 3*b**4 - 3*b**4 + 2*b**2 - 2*b**2 + 2*b**5 + (-3*b**4 - 3*b**4 + 4*b**4)*(-3*b + 7*b - 2*b) + (2*b**4 + 3 - 3)*(b + 0*b + b).\nAnswer: b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 18\/1999 and -13\/6.\nAnswer: 11994","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-24)\/3*-5*7\/(-630).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate -5579 divided by 1.\nAnswer: -5579","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 748627?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let u = 35.3 + -35.7. What is the third smallest value in 2\/3, u, 0.01?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*c**5\/15 + 4*c**4\/5 - 64*c**2\/15.\nAnswer: 2*c**2*(c - 2)*(c + 4)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Put -1669, 0, -45 in ascending order.\nAnswer: -1669, -45, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let p = -10\/453 + 4292\/180747. Let i = p - 2909\/1197. Find the common denominator of i and (-2)\/2 + 226\/(-20).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -9369*l**5 + 8*l**4 - 2*l**3 - 55*l**2 - 279*l + 3.\nAnswer: -562140*l**2 + 192*l - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from yptcszy. Give prob of sequence ysyc.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let z = 2.4 - 1.2. Let v = -1.05 + z. Are v and 2\/5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 958 divided by -1453?\nAnswer: -958\/1453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in 4, -0.054, -7, -0.1, 316?\nAnswer: -0.054","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 149.9133 rounded to 1 dp?\nAnswer: 149.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate 125 divided by 155.\nAnswer: 25\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*o = 2*o - 5*x, -5*x = 0. Let v(h) = -h**3 - 12*h**2 - 13*h**2 + 3*h + 1 + 24*h**2. Let b be v(2). Sort o, 2, b in increasing order.\nAnswer: b, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 42*v = 3*v + 195 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -104 - 33*k - 35*k - 34*k + 142*k - 38*k.\nAnswer: 2*k - 104","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -j - 580118 = -4*d + 47877, 0 = 3*d + 5*j - 471025. What is d rounded to the nearest 10000?\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 10, 2, 0, 3 in decreasing order.\nAnswer: 10, 3, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 192 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Does 97 divide 169944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:18 AM and 2:02 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let w be 4 + -1 - (0 + 1). Let p(t) = 5*t**2 + t**2 - 3*t**2 - 2*t**w - 2. What is the remainder when p(5) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -1 - -3. Suppose -23 + 1 = -v*l. Suppose 0 = -2*o + l + 9. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5 + 15 = 2*f. Suppose -5*s = o, 4*o + 8 = f*o - 3*s. Solve -5*y + 10 = -4*w - 3*y, 4*w = o*y - 19 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 19\/5722 and -31\/9?\nAnswer: 51498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-229848)\/61*(-250)\/(-3). Round z to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ufwwyfe. What is prob of picking 2 f and 1 y?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-12)\/(-21) + (-48)\/(-14). Suppose -4*a = 4*d + 3199980, 0 = -p*d - 2*a + a - 3199995. Round d to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(q) be the third derivative of -q**5\/60 - q**4\/12 + 54*q**3 + 15*q**2. Let w be d(0). Let c = w + -197. List the prime factors of c.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is twenty-one eighths of a kilometer in meters?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 12178 is divided by 12175.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -748927567*b - 74206211 wrt b?\nAnswer: -748927567","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -1 or -104\/327?\nAnswer: -104\/327","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 7 a factor of 6115509?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1591331.\nAnswer: 7, 463, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 17 (b) 1\/9 (c) 1\/3 (d) -2\/31 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 45330 to the power of 1\/3, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Put -0.4, 2\/9, -0.06 in decreasing order.\nAnswer: 2\/9, -0.06, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 1\/1755889 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -378*x + 406 = -320*x for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let u = -289 + 2236. Let b = u + -1046. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(c) = 9*c**3 + 17*c**2 - 23*c - 29. Let o(v) = -3*v**3 - 6*v**2 + 8*v + 10. Determine -17*o(z) - 6*x(z).\nAnswer: -3*z**3 + 2*z + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*s + 4*w + 19, 4*s + 8 = -2*w + 18. Solve m - 9*n + 6 = -8*n, -5*m - s*n + 2 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*x - 12 = -2*g, -15 = 224*x - 229*x + 33*g for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 13*z + 27*z + 240 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1217081?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let o = 271\/3 - 93. Sort 0.2, o, 2\/5 in ascending order.\nAnswer: o, 0.2, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((v*v**(2\/7)*v*v**(-2\/21)*v)**(1\/55))**11 assuming v is positive.\nAnswer: v**(67\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1497 = 9*m + 363. Let j = m - 120. List the prime factors of ((-87)\/1)\/3*(-9 + j).\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 91 minutes before 7:07 AM?\nAnswer: 5:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*o**3 - 13238929*o**2\/2 - 7171080*o - 1103243\/2 = 0.\nAnswer: -1103243, -1, -1\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 185, 364, 521, 650, 745, 800, 809, 766?\nAnswer: 665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2592833?\nAnswer: 67, 38699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) = -r**3 + r**2 - r + 5. Let a = 68 + -64. Let z be 0 + -12 + -8 + a. Let h = -16 - z. Calculate l(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 1186*h**3*r + 2*h*r - 515*r wrt h.\nAnswer: 7116*h*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 10718630 to the power of 1\/5, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 18772293.\nAnswer: 3, 6257431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 1535126 + -11?\nAnswer: 1535115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let z(w) be the second derivative of w**5\/30 + w**4\/12 - w**3\/6 - w**2 - 3*w. Let u(f) be the first derivative of z(f). What are the prime factors of u(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -89*g**2 + 3 - 3 + 79*g**2.\nAnswer: -10*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve p = -3*q - 5*p - 2*p + 3*p, 6 = -2*p for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from unznzzzmzzmmam. What is prob of picking 1 a and 2 m?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} {"text":"Question: Rearrange 17*j + 9*j + 14*j + 3*j to the form i*j + z and give i.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 52, 21, -8, -35, -60?\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand 18*c**3 + 19*c**3 - 17*c**3 + (-2*c - 12*c - 3*c)*(-c**2 + 3*c**2 + 0*c**2) - c**3 - 2*c**3 + 0*c**3.\nAnswer: -17*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 30192817 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -1890*o = -1789*o + 6060 for o.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose y + 459 = -4*j, 6*y - 2*j = 5*y - 429. Let n = 449 + y. Solve 2*r + 3*k + n = 0, -r + 0*k - k - 4 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 7043 - 7042.9. Sort v, -4\/7, -3\/43, -5 in increasing order.\nAnswer: -5, -4\/7, -3\/43, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -19 - -19.1. Let p = 0.2 - f. What is the closest to 2\/7 in 3\/2, p, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(m) = -3*m**2. Let r(n) = 22*n + 31. Determine r(v(x)).\nAnswer: -66*x**2 + 31","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let z = -8 - -8. Let x(p) = 42 + 43 + p**2 + 0*p**2 - p**3. Is x(z) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -116 + 71. Let j = 49 + w. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(z) = z**3 + 9*z**2 + 16*z - 8. Give p(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 1032 and 86?\nAnswer: 1032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*x = 3*c + 6, 5*x - 5*c = 2*x + 10 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-15)\/3 - -70 - 5\/1. What is the highest common factor of i and 960?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {r: 6, d: 6}. What is prob of sequence dd?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from vvkiik. Give prob of sequence viv.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let c(u) = 4*u**2 + 28*u + 141. Is 9 a factor of c(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -4464631\/210 - -21260. Calculate the common denominator of j and -77\/468.\nAnswer: 16380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:25 PM and 11:53 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Does 12 divide 929?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate (2 - (3 + 0)) + -1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-207)\/322)\/(6\/(-7)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate -30.4 + 10.\nAnswer: -20.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 i when two letters picked without replacement from jiiiijji?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 310 + -325?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ow when two letters picked without replacement from {v: 2, w: 5, o: 3}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (-15)\/2*1218\/(-145)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 13776167777 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 662935 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -2\/3 or -3\/25?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let i = 2.05 - 2. Let j = i + -0.0436. What is j rounded to three dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -6920308.799981 + 6920312. Let m = o - 3.2. What is m rounded to 6 decimal places?\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 941.465 days in minutes?\nAnswer: 1355709.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 0.192, -3, 255?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 7 + (7 - 8) + -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -85 in -1, 3, 2.4, -0.14, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Express (278 - 146 - 132 - 17851*a**2)*(0*a + 0*a - 3*a) as o*a**2 + q*a + f + w*a**3 and give w.\nAnswer: 53553","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Factor 21 + 4*w**3 + 116*w + 90 - 55 + 64*w**2.\nAnswer: 4*(w + 1)**2*(w + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1.2295 less than 0.01?\nAnswer: -1.2195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*k = 3*w - 5*w + 129, 5*k - 25 = 0. Let t = w + -49. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 502304743?\nAnswer: 12263, 40961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Express -13*a**4 + 3*a - 3*a**3 + 9*a**4 - a in the form j + d*a + m*a**4 + k*a**2 + u*a**3 and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0? (a) -2 (b) 136314 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -28, -61, -118, -211, -352, -553, -826, -1183?\nAnswer: -1636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in q**3 + 5*q**3 - 9 - 7*q**3.\nAnswer: -q**3 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let s = 13 + -7. Let h = 132 - 249\/2. Solve 15\/2*q**4 - s*q**5 - h*q**2 + 3\/2*q + 0 + 9\/2*q**3 = 0.\nAnswer: -1, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 592, -4, 1 in ascending order.\nAnswer: -4, 1, 592","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-3)\/9*(-21 + 0). Suppose 42*b - 196 = 35*b. Calculate the highest common factor of b and f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 242.9923 - 0.036.\nAnswer: 242.9563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 7896 and 20720?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 385731093 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -t - 5 = u, -8 = -5*t + u - 39. Let x = 275775 + -275764. What is the smallest value in -5, t, x?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 59.17555 years in millennia?\nAnswer: 0.05917555","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 39 a factor of 2278?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let v(i) = i**2 + i - 1. Let d be (-15)\/(-45) + (-6)\/(-9). Let w(y) = 6*y**2 - 6*y + 3. Let m = 2 - 5. Let s(n) = d*w(n) + m*v(n). Find z, given that s(z) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -370, -1574, -3706, -6766?\n\"Answer: -464*n**2 + 188*n - 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 787 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let p(f) = 89*f + 2. Let u be p(-1). Let q be (-4)\/(-24) - u\/18. Let a(r) = r**3 + 6*r**2 - 7*r - 5. Let w be a(-7). Put w, 3, q in ascending order.\nAnswer: w, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(y) = -1652*y + 16511. Give h(10).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1318, -2636, -3954?\nAnswer: -5272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 28423*l**2 - 5 + 5 - 5298*l**2.\nAnswer: 23125*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let u = -271 - -535. Let m be 11\/(-3)*(-46 - -28). Calculate the greatest common factor of u and m.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*x - 2 - 3 = 0. Let w = 10 - x. List the prime factors of w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.9 and 573?\nAnswer: 515.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*f - 28 + 10, -22329 = -6*i + 5*f. List the prime factors of i.\nAnswer: 2, 3, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*n + 0*n = -4*x - 260, -135 = 2*n + 3*x. Let b = 65 + n. Solve b*p - 6 = 4 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(w) be the third derivative of -w**4\/8 - 816*w**2. Let i(t) = -628*t**2. Calculate q(i(z)).\nAnswer: 1884*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Put 3, -2, 392 in decreasing order.\nAnswer: 392, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-1*sqrt(4))\/sqrt(2) + sqrt(6)\/sqrt(27) - (sqrt(98) - ((sqrt(98) + 1 + sqrt(98) - sqrt(98)) + sqrt(98))*5 - sqrt(98)))**2.\nAnswer: 2080*sqrt(2)\/3 + 86753\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is (4 + 21\/(-4))*(-4)\/30?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -8 - 2*i**2 - 9*i + 8 + 0*i**2.\nAnswer: -2*i**2 - 9*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -9*j + 10*j - 595. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -471*q + 469*q + 2289 = -3*u, -4*u = q + 3041. Do 2 and u have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -5130 (base 8) in base 2?\nAnswer: -101001011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 52\/(-156)*(-18)\/11\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 3846546079 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 18*a - 21*a + 1827 = 0. Suppose -7*g - 3*y = -2*g - a, -111 = -g + 3*y. Does 17 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many decades are there in one fifth of a century?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p(m) = m + 1. Let o be p(6). Let g = -48 + 58. Let u = o - g. Do -3 and u have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 4432*r**3 + 8909*r**2 - 243058086?\nAnswer: 13296*r**2 + 17818*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -2361527 or -2361526?\nAnswer: -2361526","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*p = 7*p - 65. Suppose -4*s = -2*s + x - p, 4*x + 3 = 3*s. Let d be 1\/(-3)*0 + s. What is the third smallest value in -0.13, 0.5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -2673, -2653, -2635, -2619, -2605?\nAnswer: -2593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 99685088 and 256.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((v*v*v**(-3\/5))\/v)**(-7)\/(v*v**(-1\/4)*v)**(-24\/5) assuming v is positive.\nAnswer: v**(28\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let n = 25.34 + -0.34. Let j = 26.3 - n. Put j, 0.3, -0.3 in increasing order.\nAnswer: -0.3, 0.3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 9 divided by 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: -215785878 divided by 13574\nAnswer: -15897","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 2316394*h = 2316298*h + 6144 for h.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*v - 3*c + 5 = -21, 4*v - c + 18 = 0. Let m(w) = -1. Let o(k) = -3*k**2 - 6. Calculate v*m(l) + o(l).\nAnswer: -3*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand (4727 + 5578 - 411)*(-y**2 + 2*y - 3 - 2*y).\nAnswer: -9894*y**2 - 29682","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*r = -5*n + 8 + 22, 0 = -4*r - 2*n + 14. Which is smaller: 3\/722 or r?\nAnswer: 3\/722","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 i, 1 j, and 1 n when three letters picked without replacement from irnnjjdr.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let m = 134\/3 + -2897\/66. Let t = -128449\/15894 - -23\/883. Calculate the common denominator of t and m.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 144124 is divided by 690?\nAnswer: 604","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose h = -5*p - 23, 3*h + 3*p - p + 4 = 0. Let r be h\/7 - (-6183)\/(-105). Let j = r - -59. Which is the third biggest value? (a) j (b) 0 (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -37 and -1920?\nAnswer: 71040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let y(o) = o**3 + 6*o**2 - 7*o + 5. Let q be y(-7). Suppose 0 = -q*i + 13 + 2. Suppose 0 = -3*c + 4*d + 50, 20 = 4*c + d + i*d. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence br when two letters picked without replacement from lylbyllrillyl.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 674550 a multiple of 3615?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: 0 + (1 - 1) + (21 - 22)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -5 (b) 0.1 (c) 4 (d) 18\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is -24\/173 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let s(d) = d**3 + 4*d**2 + 4. Let k be ((-18)\/(-24) + 0)\/(2\/8). Suppose -2*n - r - 1 = 2, 2*n = r + k. Calculate s(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 46 + -12. Let n be 0 + 190 + (38 - 34). Let i = n + -176. What is the lowest common multiple of i and w?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2717988.\nAnswer: 2, 3, 7, 13, 19, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let w = -30 + 35. Let a = 1 - -6. Let x = a + -5. What is the closest to -2\/3 in 1\/5, x, w?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.1234 - 4.\nAnswer: -3.8766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let o = 550 - -339. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 1647*y + 22 = 1649*y for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -b - 17 = -5*u, -621 = -2*u + 2*u + 5*b - 636 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let v = 129 - 276. Let s = v - -151. Solve 0 = -s*w - 5 - 3 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(s) = -30*s**2 + 220*s - 12. Let l(g) = -56*g**2 + 438*g - 22. Let n(p) = 6*l(p) - 11*u(p). Factor n(z).\nAnswer: -2*z*(3*z - 104)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -357 divided by -2700?\nAnswer: 119\/900","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 20 + -8 - (75 - 1)?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 8 (b) 4\/11 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*m**2\/9 + 10871392*m\/9.\nAnswer: 2*m*(m + 5435696)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let k(m) = m**3 - 9*m**2 + 14*m + 7. Determine k(5).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-27)\/(-6)*(-4)\/(-2). Let j be (l\/6)\/(-3)*0. Let u = 0 - -1. Sort u, j, -5 in increasing order.\nAnswer: -5, j, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 599406, 600009, 600614, 601221, 601830?\n\"Answer: o**2 + 600*o + 598805","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let k(i) = -926*i + 1851*i - 924*i. Let r(w) be the first derivative of -15*w**2 + 19. Calculate r(k(o)).\nAnswer: -30*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 2282131, 4564264, 6846399, 9128530, 11410651?\n\"Answer: -d**3 + 7*d**2 + 2282119*d + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.245 * -1.7.\nAnswer: -0.4165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let v(g) = g**2 - 47*g + 538. Let d be v(19). Let l(r) be the first derivative of -8\/3*r**3 + 0*r - d - 3*r**2. What is the second derivative of l(i) wrt i?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 145491 (base 10) to base 12.\nAnswer: 70243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((i\/i**(-1\/4)*i)**(-11))**(-4\/13)\/((i*i*i**(-2\/13))**(-28))**(-46) assuming i is positive.\nAnswer: i**(-30813\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let j be 24\/132 + (-1)\/((-33)\/(-17)). Sort 51, -2\/5, j in ascending order.\nAnswer: -2\/5, j, 51","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -5? (a) -3 (b) 2\/11 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let h = -3.9 - -8.9. Let g = -0.05493 - -0.15493. Which is the second biggest value? (a) -0.2 (b) h (c) -4 (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -229*h + 242*h + 587*h + 541*h.\nAnswer: 1141*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 261336, 522563, 783674, 1044669?\nAnswer: 1305548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -h - h = -4234. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 851 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let d(x) be the second derivative of 0 + 0*x**5 + 0*x**3 - 3*x - 1\/36*x**4 + 1\/90*x**6 + 0*x**2. Factor d(n).\nAnswer: n**2*(n - 1)*(n + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 13829156?\nAnswer: 2, 11, 314299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -3\/7? (a) 2\/61 (b) -1\/2 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let x(z) = -17*z + 176. Let s be x(10). Let i be 88\/33 - 1\/(s\/(-8)). Factor 0 + 0*j**3 + 4\/9*j - 8\/9*j**2 - 4\/9*j**5 + 8\/9*j**i.\nAnswer: -4*j*(j - 1)**3*(j + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 16 - 11. Let z be (-2)\/(-6) - q\/(-3). Solve -v - k = 4, 2*v + 11 = -k - z*k for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 29 - -5. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*x + 2*s - 4 = s + 5, 24*x - 72*x = 4*s - 36 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 327b - -2?\nAnswer: 3281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Sort 30, 0.4, 2\/5995, 7.\nAnswer: 2\/5995, 0.4, 7, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence eqe when three letters picked without replacement from aeqeqt?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let z(a) = -3*a**2 - 2*a + 9. Let g = 142 + -137. Let f(h) = h**2 + h - 5. Let j(v) = 7*v + 17. Let s be j(-2). What is g*f(x) + s*z(x)?\nAnswer: -4*x**2 - x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3 = -103*r + 104*r. Solve r*i + 7 = 5*l - 12, -3*i + 3*l - 15 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -409335, -409363, -409415, -409503, -409639?\nAnswer: -409835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Subtract -568 from -0.362.\nAnswer: 567.638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1415573?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-5 + -1)*(-1)\/2. Differentiate b**v - 8*b**3 + 3 + b**3 with respect to b.\nAnswer: -18*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (3 - (3 - (1 - 2))) + 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*r = 9*l - 60 + 29, 4*r - 2*l = 2. Factor -1\/4*f**r - 2*f - 15\/4.\nAnswer: -(f + 3)*(f + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -2 or 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(240)*-1)\/sqrt(12))\/(2*sqrt(640)))**2 + 4 + 2 + (sqrt(98)*-1)**2 + -1.\nAnswer: 13185\/128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-4)\/30 + (-92)\/(-15). Calculate the highest common divisor of 18 and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -12755171 * -0.3.\nAnswer: 3826551.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Find i, given that -2*i**5\/9 - 2254*i**4\/9 - 69946*i**3\/9 + 146662*i**2\/9 - 24820*i\/3 = 0.\nAnswer: -1095, -34, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let x(j) = j**2 + 4*j - 3. Let l be x(-7). Let r = 60 - l. Factor -8 - 4*y**3 - 7*y + 4*y**4 + 10*y**4 + 47*y - r*y**2.\nAnswer: 2*(y - 1)**2*(y + 2)*(7*y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 602282.\nAnswer: 2, 301141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 21989?\nAnswer: 11, 1999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -9240.74 rounded to the nearest one thousand?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*n - 4 = 0, 196*n = 2745*t - 2742*t + 202 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-208)\/(-80) + (-8918)\/3380?\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 27 - 23. Solve 0 = t - 3*i - p, -3*t = i + 4 + 4 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find k, given that -k**4\/4 - 339*k**3\/4 - 169*k**2\/2 = 0.\nAnswer: -338, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let h = 1\/416 - -393\/9568. Calculate the common denominator of h and 31\/4.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 279283811 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose j + 0*j - 2*m = 7, 10 = -5*j - 5*m. Let f be j + (-3 - -6) + -1. Calculate the greatest common divisor of 9 and f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 268034 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -140991*y**2 - 5*y + 2763?\nAnswer: -281982","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 31\/8221666 less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 63926676 to the nearest integer?\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} {"text":"Question: Calculate (-166)\/18 - (594\/(-1287))\/(8\/156).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*y**2 - 121456323*y - 121456320.\nAnswer: -3*(y + 1)*(y + 40485440)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -36734 - -1b9?\nAnswer: -3656a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many litres are there in 0.7471431ml?\nAnswer: 0.0007471431","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p be ((-4)\/(-3))\/(2\/3). Let y(n) = p - 4 + 5*n**2 + 3. What is the remainder when 11 is divided by y(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -5 + 72a48?\nAnswer: 72a43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11*d + 269 = -1964. Calculate the remainder when d is divided by 84.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-27)\/36)\/(3*(-1)\/(-12))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*g**5 + 172*g**4 + 1068*g**3 - 15388*g**2 + 22688*g + 38976 = 0.\nAnswer: -29, -21, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*(-3 + (sqrt(275) + -3)**2).\nAnswer: -562 + 60*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let n(z) = z**3 - 3*z**2 - z - 194. Determine n(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 0.4, 30233, 1819?\nAnswer: 30233","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is four thirds of a century in months?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0061844 rounded to 5 decimal places?\nAnswer: 0.00618","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*g + r - 113 = 0, 2*g - 7*g + 5*r + 275 = 0. Suppose 5*i - g = -3*s, -2*i - 3*s + 26 = -0*s. Suppose 3*d - 34 + i = 0. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((p**1)**(-31))**(-1\/10)*((p*p**(-1\/4))\/(p\/(p\/(p*(p**2\/p)\/p))))\/(p**(-1\/3)*p**0*p) assuming p is positive.\nAnswer: p**(131\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 1040.07 centuries in decades?\nAnswer: 10400.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Put 1, -6, -4, 2 in decreasing order.\nAnswer: 2, 1, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is -6 + (1988\/(-42) - -12 - 20\/30)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*a + 29 = -r, -2*r + 5*r + 33 = -3*a. Let k be ((-45)\/a)\/(1*6). Find n, given that -k*n + n**2 + 1\/4 = 0.\nAnswer: 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((x*x*x\/(x\/(x**(-2\/39)\/x))*x*x\/(x*x**(-31)))**1)**(-17))**(-2\/5) assuming x is positive.\nAnswer: x**(8738\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -6? (a) -2\/21 (b) 0.5 (c) -8 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*b = -10, b + 23 = -4*g + 1. Sort -22, 3, g in descending order.\nAnswer: 3, g, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert a3c (base 15) to base 8.\nAnswer: 4403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve u + 4 = 9 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*i - 5*x = -0*i - 1399, -3*i - 5*x = -1048. Calculate the remainder when i is divided by 10 - 18 - (108\/(-135))\/((-4)\/(-260)).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -157 + 294 + 34*r - 146 as h*r + l and give l.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: 0 + (4 - 2) + -2 + 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b(x) = -98*x + 5. Let l(n) = 98*n - 6. Let o(h) = 7*b(h) + 6*l(h). Suppose -8*y - 5 = -3*y. Is o(y) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from nnnnnnhn. Give prob of sequence nnn.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let y(s) be the second derivative of 4*s - 3\/2*s**2 + s**3 + 0. What is the derivative of y(n) wrt n?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 23 - 10?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let r(a) = -7 + 32*a + 17*a**2 - 2*a**3 - 103*a + 8*a**3 - 7*a**3. Let z be r(9). Solve -z*c + 2*c = 5*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be 0 - ((-52)\/44 + 1). Let i be 0\/(-2) + 680\/(-8100). Let r = i + -4\/81. Which is the third smallest value? (a) -2 (b) s (c) r (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*q = -9*q + 12. Suppose 146 = 4*a - 94. Calculate the highest common divisor of q and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 171 minutes after 4:22 PM?\nAnswer: 7:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 34297309 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 441334 - -1211?\nAnswer: 443100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 73 + 313?\nAnswer: 386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 100100 + 1011011110000010010111?\nAnswer: 1011011110000010111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Find h such that -95*h + 62*h - h**2 - 784 + 89*h = 0.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {u: 3, n: 3}. What is prob of picking 1 n and 1 u?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*q + 2 = -2*q + h, q = 5*h + 2. Suppose -3*n = 2*n. Suppose 0 = -2*m + 2*a + q, -4*a + 0*a = n. What is the lowest common multiple of m and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 101 + -10001000010011011111101?\nAnswer: -10001000010011011111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -395, -1569, -3529, -6275, -9807?\n\"Answer: -393*z**2 + 5*z - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate 29551 divided by -3.\nAnswer: -29551\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Factor -8*p**2 - 1692*p + 848.\nAnswer: -4*(p + 212)*(2*p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let s = 18.156 + -18.056. Put 0.06, -1.4, s in ascending order.\nAnswer: -1.4, 0.06, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*a + 3*q = 73 - 56, -39 = -2*a - 5*q. Solve -116 = 27*b + a*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from crgygaccyayaaccyary. What is prob of sequence gy?\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let b = -416 - -593. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-2)\/3*9 - 0. Let n = 2 + x. Let f = -184 + 189. Sort 4, f, n in ascending order.\nAnswer: n, 4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(w) be the second derivative of -3*w**2 - 2*w + 0 + 1\/10*w**5 - 5\/6*w**4 + 7\/3*w**3. Determine p, given that o(p) = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(p) = -7*p**2 + 2 + 39*p**2 - 3. Let j = -44116 + 44115. Determine f(j).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 6 + 3. Suppose -m = 2*m - f. Suppose 3*t = 2*u - 99, 8 + 1 = -m*t. Does 15 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*v**2 - 2*v**2 - v**4 + (0*v - v - v)*(0 + 2*v**3 + 0))*(-3 + 3 + 4*v).\nAnswer: -20*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -26? (a) -1\/5 (b) 595 (c) 51 (d) 3 (e) -1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let -6*m**4 + 59873*m**3\/3 - 85273*m**2 + 27672*m + 112948\/3 = 0. Calculate m.\nAnswer: -1\/2, 1, 34\/9, 3322","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 20043253123 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 5986616 is divided by 842?\nAnswer: 838","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is -22 divided by -991425?\nAnswer: 22\/991425","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand 3*d - 4*d + 2*d - 3*d + d + 3*d + 1 - 2*d - 1 - 46 - 43*d + 46 + (-5*d + d + d)*(4 + 3 - 6) + 2*d + 2 - 2.\nAnswer: -44*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 2470 equal to 2470?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 5592 and 150252147.\nAnswer: 699","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 1701914, 6808152, 15318548, 27233102, 42551814?\n\"Answer: 1702079*s**2 + s - 166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand 3*z**3 + 5*z**3 - 3*z**3 + (-2*z + z + 3*z)*(0 + 1 - 3)*(103876*z**2 - 209811*z**2 + 105104*z**2).\nAnswer: 3329*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1*6*(66\/(-234))\/11?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -15 - ((-6 - 9) + 6).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 211\/1439760 and -89\/150?\nAnswer: 7198800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: 0 (base 3) to base 13\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Subtract 4193 from 26.734857.\nAnswer: -4166.265143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence jm when two letters picked without replacement from mjmjmmmm?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let p = -60 + 71. Let g(f) = f - 6. Let j be g(p). Let r(d) = 138*d**2 - 4*d + 19. Is r(j) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 1094, 4374, 9842, 17498, 27342, 39374?\n\"Answer: 1094*j**2 - 2*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 6 and 62086692?\nAnswer: 62086692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose t - 4*w = -12, t - 3 + 11 = 3*w. Suppose -a = 5*f - 16, -a - t*f = -5*a + 160. Is a a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -0.3600334 + 0.3604. What is n rounded to 4 dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:52 PM and 8:10 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 4885 is divided by 203?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 10723 - 457*s**3 - 10723.\nAnswer: -457*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (23\/6)\/(-23)*2\/1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i**(-4\/11))**(-47)*i**(-3\/26)*(i*i*(i\/(i*i**18))\/i*i)\/i*i assuming i is positive.\nAnswer: i**(279\/286)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 d and 2 a when three letters picked without replacement from {y: 5, s: 5, a: 2, t: 1, l: 1, d: 1}.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many microseconds are there in 3998.759ms?\nAnswer: 3998759","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z(f) be the second derivative of -f**6\/60 + f**5\/15 - f**4\/9 - f**3\/3 - 3*f. Let a(m) be the second derivative of z(m). Factor a(g).\nAnswer: -2*(3*g - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2065.\nAnswer: 5, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 126389 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 18*t - 20*t + 96 = 0. Let q = t + -23. Suppose -q*w = -21*w. Solve -o - 21 = 5*v, w = 5*v - 6*v + o - 9 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1b45a3 (base 16) in base 4?\nAnswer: 12310112203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Put 5, 2, -10, -16 in increasing order.\nAnswer: -16, -10, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let c = -11.7 - -10.72. Let g = -1.029 - c. Round g to two dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4*(sqrt(224)\/sqrt(2) + 1).\nAnswer: 4 + 16*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 6*p + 151*p + 507 = 2705 for p.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -a + 3 = r, 2*a = -12*r + 26*r - 12*r - 10 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let h be (3 + -3 - (-57 - -57))\/(3*1). Suppose -p = 2*p - 30. Suppose -5*u - 8 + 33 = 0. Solve -u*l + h = -p for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 258 + -276 + 57 + -6.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k(v) = v**2 - 1. Let r(l) = l**3 - 14*l**2 - 9*l + 12. Let a(m) = 6*k(m) + r(m). Let b be a(9). Suppose -b*o + 9 + 393 = 0. List the prime factors of o.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -882.9 and -0.6?\nAnswer: 529.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from wkuuuubuwuuubulwwu. What is prob of sequence lu?\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (1452\/880)\/(12\/16)?\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1084801.\nAnswer: 887, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let v be ((-56)\/140)\/(1\/(-10)). Let q(o) = 2*o + 22. Let w be q(-10). Solve w*m = v*i + i - 35, -m - i = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(o) = o**3 + 4*o**2 - 6*o - 5. Let v be w(-5). Suppose t + v = -1. Let q be ((-7)\/((-175)\/(-10)))\/(-2). Which is smaller: t or q?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 1155\/1402 - 1151009\/1010842. Let o = w - -3\/103. Let d = -0.15 - -0.15. What is the nearest to d in -5, 4\/7, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: (1 - 3 - -2) + (-23 - -20)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is -3 != -36\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*n**2 - 5*n**2 - 4 - n**2)*(-6 + 2 + 3).\nAnswer: 4*n**2 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*d = f + d - 3, 2*f + 3*d - 4 = 0. Solve -k = -4*m - 1, 3*k = f*m - 0*m + 3 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 855236?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many kilometers are there in 108.9165cm?\nAnswer: 0.001089165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x = -2.24 - -2.34. Let h = 2.952 + -2.9. Let f = h - 0.452. Which is the closest to -1\/2? (a) 4 (b) x (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(z) be the third derivative of 13*z**8\/252 + 20*z**7\/63 - 121*z**6\/45 + 296*z**5\/45 - 131*z**4\/18 + 28*z**3\/9 + 578*z**2. Solve u(h) = 0.\nAnswer: -7, 2\/13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a\/(a\/(a*a**6))*a\/(a*a**6)*a)\/(a**(-1\/2)\/a)**(-21)*((a**(-1\/3)*a)**(-23))**(-32) assuming a is positive.\nAnswer: a**(2767\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((101268\/(-957))\/(-97))\/((-18)\/44).\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2*(6*(0 + (sqrt(121) + sqrt(121)*2 + sqrt(121))\/sqrt(11)) - (sqrt(66) - (sqrt(66) + (sqrt(66) - -6*1*sqrt(66))))\/((sqrt(72)*1)\/sqrt(12))))**2.\nAnswer: 42284","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p*p\/(p**(2\/15)\/p))**(-1\/24) assuming p is positive.\nAnswer: p**(-43\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let s(k) = 5*k + 1. Determine s(-5).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-36)\/(-62))\/((-4706)\/(-218829)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -295d + -20ad?\nAnswer: -4a2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let i(z) = -z + 10. Calculate i(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Sort 2\/9, 5, -13, 2\/13 in decreasing order.\nAnswer: 5, 2\/9, 2\/13, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand (c + c - 10 + 9)*(1 + 4*c - c - 2*c).\nAnswer: 2*c**2 + c - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let c = -13 - -16. Find the second derivative of 4*x**3 + 6*x - c*x**3 - x**3 - 2*x**3 wrt x.\nAnswer: -12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -480, -956, -1478, -2046, -2660, -3320?\n\"Answer: -23*a**2 - 407*a - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 4922285, 4922290, 4922295?\nAnswer: 4922300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 831 <= -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 774, -7126, -15014, -22884, -30730, -38546, -46326, -54064?\nAnswer: -61754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -22202001002 + -201?\nAnswer: -22202001210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 105\/189 + 3487204\/63?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 46\/59 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1778490 divided by -5.\nAnswer: 355698","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let x = -214109\/220 + 3895\/4. What is the common denominator of x and -29\/20?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be 9 - (2 - (-3 + 1)). Let i(u) = -2*u + 2. Let g(a) = 3*a - 4. Let t(p) = z*i(p) + 3*g(p). Calculate t(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -115\/6744 and 61\/13488?\nAnswer: 13488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 120, 243, 366, 489?\n\"Answer: 123*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 385603541 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let f(m) = 12 - 6 - 46 - m. Let o be f(0). Let t be 52\/10 + 8\/o. Let j(a) = -2*a + 5. What is j(t)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l**(-2\/11)*l*l*l*l)**(1\/60) assuming l is positive.\nAnswer: l**(7\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 42973?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 19 and 13058?\nAnswer: 248102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*d**3 + 9731572*d**2 - 9731568*d.\nAnswer: -4*d*(d - 2432892)*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.03? (a) -2\/13 (b) -1 (c) 1\/3 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Express (2*o**2 + 0 + 0)*(4*o - 2*o + o) - 2*o + 2*o - 3*o**3 as d*o**3 + h*o**2 + u*o + n and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -14 in -1\/5, 0.1, 0.3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let q = 36 - 40. Let h(p) be the third derivative of p**4\/24 + 4*p**3\/3 + p**2. List the prime factors of h(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: 578.35 * -0.6696\nAnswer: -387.26316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*h = -3*k + 33, -5*k - 4*h = -0*h - 55. Let j(i) = -i - 1. Let s be j(k). Let d be 3*s\/9 - -8. Solve d*x = -6 + 26 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:24 AM and 4:30 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -10, -36, -76, -136, -222, -340, -496, -696?\n\"Answer: -q**3 - q**2 - 16*q + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 259510 is divided by 173?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find n, given that -25*n**3 - 78940*n**2 + 74760059*n - 15673976274 = 0.\nAnswer: -3954, 1991\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 1995 and 19740.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -3\/52 in 0, 7, 1\/4, 4, 0.9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.1? (a) -3\/1498 (b) 6\/11 (c) -0.07 (d) 121 (e) -2\/3 (f) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 30536967 to the power of 1\/3, to the nearest integer?\nAnswer: 313","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 16127 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 43252 and 3632?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 0.1 or -24117?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -55aa + 5?\nAnswer: -55a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -72, -75, -78, -81, -84, -87?\n\"Answer: -3*q - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let b = 1.03 + 2.87. Let h = 3.5 - b. Let k = 5.7 + -6. What is the closest to 3 in 2, h, k?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 89\/1568 and -101\/56.\nAnswer: 1568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.1 and 49?\nAnswer: 4.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 2309*k*v**2 + 2*k*v - 2*k - 29*v wrt v?\nAnswer: 4618*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (12\/(-5) - 4\/(-10))*1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -20 + 17 + -9 + 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w(l) = 16*l - 84. Determine w(8).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let t(i) = -3*i - 3. Calculate t(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, 986, -149, -5, -4.\nAnswer: -149, -5, -4, 5, 986","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 140033 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 1152*j**2*l**2 + 89*j**2*l + 4*j**2 + 58541 wrt l.\nAnswer: 2304*j**2*l + 89*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is next in -697, -741, -859, -1087, -1461, -2017, -2791, -3819?\nAnswer: -5137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify 0 + 0 + 0 + sqrt(891) + sqrt(891) + 0 + sqrt(891) + 0 + 1.\nAnswer: 1 + 27*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2 in -0.58, -0.2, 2, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let o(s) = 3*s**2 + 32*s + 76. Determine o(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 6\/(15\/(495\/(-22)))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 410109 and 13629.\nAnswer: 1239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3428*n - 228728*n**2 + 114363*n**2 + 114363*n**2)*(-n + n + n).\nAnswer: -2*n**3 - 3428*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let h = 751 - 749. Solve 0 = -h*z + 8*z - 12 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 53664 and 1248?\nAnswer: 53664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate 91 divided by 47.\nAnswer: 91\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify o**(-20)*o*o*o\/(o*o\/o**(-31)) assuming o is positive.\nAnswer: o**(-50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4.1974*-1301.\nAnswer: -5460.8174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 599963915 to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: (-5 - (-78)\/15)\/(1\/5)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*o = -0*o + 6*o. Let r = 417 - 35. Is -2*(r\/(-4) - o) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(n) = n**2 - 5*n - 1. Let d be r(7). Let p = d - 18. Is -5 smaller than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(k) = -k**3 + 4*k**2 - 5*k + 3. Let c be u(3). Let n be -2 + c\/((-72)\/57). Let j be (0 - 2)\/2 + 3. What is the closest to -1 in j, n, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 206*a**2*m*x**2 - 47*a**2*m*x - 508*a*m*x**2 - 30*a*m wrt a?\nAnswer: 412*m*x**2 - 94*m*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*2*3*((-3*sqrt(108))**2 + -2).\nAnswer: -5820","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let q(k) = -3*k - 17. Let w(v) = v + 8. Let o(g) = -q(g) - 2*w(g). What is o(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 612 minutes before 1:17 PM?\nAnswer: 3:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -263565*i**3 + 4*i**2 + 1778*i?\nAnswer: -1581390","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 7525 and 1204?\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*v**3\/11 + 392*v**2\/11 - 16882*v - 3607780.\nAnswer: 2*(v - 310)*(v + 253)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 204\/85*(-280)\/(-42)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a(d) = 3502*d + 907046. Calculate a(-259).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let i(j) = -8*j + 3. Let c(n) = -17*n + 7. Let h(l) = 3*c(l) - 7*i(l). Let p(t) be the first derivative of -t**2 + 1. What is h(p(b))?\nAnswer: -10*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 4\/9, 0.059, -0.24, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let r(a) = 1381*a + 6878. Calculate r(-5).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let g be (2\/3)\/((-40)\/30). Let p(m) = -m + 14. Let i be p(11). Let w be (i*(-3)\/(-18))\/((-2)\/8). What is the nearest to -0.3 in w, -3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -246 = -3*f - 3*i, 2*i = -f + 4*f - 271. Suppose -2*s - 24 = -3*o - f, 5*s - 3*o - 135 = 0. What is the lowest common multiple of 4 and s?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(z) be the third derivative of -z**4\/24 - 3*z**3\/2 - 2*z**2. Let t be a(-11). Solve -7 = t*b + 3 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0 in -47, -17, 8, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -7 + 20 - 89*u**2 + 5*u**3 - 14*u**3 + 89*u**2 to the form k*u + v + p*u**2 + y*u**3 and give y.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate 7*156\/637 - (-256296)\/(-4956).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 991 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -54, -456, -1554, -3696, -7230, -12504, -19866, -29664?\n\"Answer: -58*p**3 + 4*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 32 = -2*n - 6*m, -27 = 2*n + 15*m - 10*m for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*b + 24 = -8*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let x(y) = 3*y**3 - 6*y**2 + y + 2. Let u(t) = -5*t**3 + 11*t**2 - 2*t - 4. Let q(f) = -2*u(f) - 5*x(f). Factor q(c).\nAnswer: -(c - 1)**2*(5*c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 0 + 2)*(-3 + 3059*d + 949*d - 1283*d).\nAnswer: 2725*d - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 9921 = 249*j + 3447 for j.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 15 and 705?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -p**2\/2 + 63*p - 3969\/2 = 0.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 660 = 4*h + 4*y, -322 = -3*h - 2*y + 168. Calculate the highest common divisor of 2860 and h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 126 (base 10) in base 5?\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 8009?\nAnswer: 8009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -3 in -5.6, -1\/4, -2, 86, 2\/11?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3 = -3*d + 3*f + 303, -d + 122 = -5*f. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose i + 539 - 668 = 0. Suppose 63 + i = 12*n. Calculate the highest common divisor of n and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(v) = -3*v. Let k = 2 + -5. Let h be (-1 - k) + (-8)\/(-8). Let r(x) = -x + h*x - x. Calculate r(z(f)).\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 358091399 a multiple of 2044?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let s(k) = 1107*k - 3069. Give s(2).\nAnswer: -855","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (7 - 0) + -7 - 1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 1336546739 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let j(h) = -h**3 - 4*h**2 - 2*h + 4. Let y be j(-3). Suppose y + 1 - 5*c**2 - 2*c**4 + 4*c**3 - 4*c + 5*c**2 = 0. Calculate c.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 530 is divided by 75.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let b = 78362582\/55 - 204034066673\/143220. Let x = b + -4736\/31. Find the common denominator of 47\/36 and x.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve g + 622*k = 620*k, 0*k = -2*g - 3*k for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 4*l + 5*y + 3, -1766*l + 1769*l + 11 = 5*y for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let t(l) = -2*l**2 + 56*l - 8. Let p(b) = -26*b**3 + 3*b**2 + b - 2. Let u be p(-1). Does 48 divide t(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -66555 by -5.\nAnswer: 13311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let t = -4 + 7. Suppose s = 22 - 20. Suppose 0 = t*u - s*u + 5*b - 32, -4*u + 3*b = -36. Does 4 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(q) = -q**3 + 14*q**2 - 2*q + 3. What is y(11)?\nAnswer: 344","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 3774712967 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*r = -l - 10, -2*l = -5*l - 12. Suppose 5*t = 4*d - 99, -t - 3*t - 78 = -r*d. Is t greater than -18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 728 and 2072.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Convert 36 (base 7) to base 6.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -150*i + 38282 = 7982. Calculate the remainder when i is divided by 33.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(j) = j**3 - 3*j**2 + 26. Suppose 6*f - 3*f = 2*f - 16*f. Give c(f).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -6 + 11. Suppose 5*a - b = 3*c, -3*c - 2*c + a = 45. Is 5 a factor of 61\/9 - c\/45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, -8, -2, 0, -1 in descending order.\nAnswer: 2, 0, -1, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 74621866*d**4 + 96112*d - 95.\nAnswer: 895462392*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -102, -215, -328, -441, -554?\n\"Answer: -113*b + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*y + 4 = -2*c, -2*y = 2*y + 3*c - 8. Let k(z) = 4*z**2 - 13*z**y + 8*z**2. Let d(r) = -9*r**2. What is k(d(g))?\nAnswer: -81*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let r(y) be the third derivative of -y**5\/20 - 2*y**4 - 6*y**2 + 7. Factor r(s).\nAnswer: -3*s*(s + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*c = 6*c - 12. Suppose -c*n + 67 = -29. Is n a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-2)\/(-8)*-2)\/(-1 - (-63)\/42).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -62005*p**4 - 4*p**2 + 4968423*p wrt p.\nAnswer: -744060*p**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 30 - -1010?\nAnswer: 1040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(27)\/(sqrt(900)*1).\nAnswer: sqrt(3)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-1)\/3 - 16\/(-3). Suppose c*f - 25 + 5 = 0. Suppose f*q + 3 = 27. Calculate the remainder when 17 is divided by q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 942662.\nAnswer: 2, 7, 9619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let i(r) = -4*r**2. Let v(o) = 317*o. Give v(i(u)).\nAnswer: -1268*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let i = 0.46 - 0.66. What is the third biggest value in i, -4\/5, -3\/7, 4?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (19*j**3 - 81*j**3 - 31*j**3)*(3 + 4 - 5) to the form r + v*j**3 + l*j + k*j**2 and give v.\nAnswer: -186","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:57 AM and 9:55 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {n: 1, e: 1, p: 5, u: 2, w: 1}. What is prob of sequence wpn?\nAnswer: 1\/144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 129635?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let x be (1*(3 + -1))\/(-2). Let k be x + -1 + (-240)\/(-3). Let s be -3*-13*(-2)\/(-3). Calculate the highest common divisor of k and s.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(q) = q**3 + 47*q**2 - 215*q - 505. What is the remainder when 647 is divided by k(-51)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 18041784?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*r = -9, -4*r + 5*r = 4*c + 27. Let a be 0\/(7\/2 + c\/4). Put 4, a, -2 in descending order.\nAnswer: 4, a, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*l + 7*l + 24. Let c be (-8)\/l + 99\/27. Solve 4*f - 13 = c*v, 2*v = -2*f + f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Put together 117 and 45062.\nAnswer: 45179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 2857*p - 2317 wrt p.\nAnswer: 2857","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Convert 7.00789 decades to years.\nAnswer: 70.0789","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5 + (3 + sqrt(35)\/sqrt(7) - (-3*sqrt(5) + -5)) + -5*(-5 + 0 + sqrt(5) + -5) + -2)**2.\nAnswer: -122*sqrt(5) + 3726","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 176476?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {v: 7, z: 3}. Give prob of sequence vv.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -20648*a**3 + 9*a - 423744?\nAnswer: -61944*a**2 + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: (-180)\/22*(66638\/(-65))\/233\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x(m) = 4*m + 2. Let g be x(3). Suppose h - 4*a = -4, 4*a = -2*h + g + 2. Suppose 3*n - 23 = -h*y + 31, -7 = -n - 5*y. Does 5 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + (1*sqrt(1584)*-6)**2*-1 - (0 + sqrt(1584) + sqrt(1584)*-2 + sqrt(1584) + sqrt(1584) + sqrt(1584)*2*-3 + -3).\nAnswer: -57026 + 60*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 965c52 (base 14) in base 16?\nAnswer: 4d9f50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate -295521.7 - 47.\nAnswer: -295568.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let z = 3956 + -3959. Which is the biggest value? (a) 4 (b) -3\/4 (c) -3\/2 (d) -0.2 (e) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 44*c**2 - 14*c**2 - 11*c**2.\nAnswer: 19*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let y(w) = 2889*w + 144248. Calculate y(-50).\nAnswer: -202","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let p(x) be the third derivative of -1\/12*x**4 - 1\/60*x**5 + 9*x**2 - 1\/6*x**3 + 0*x + 0. Let a be 0 + 1 - (2 - -1). Give p(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*k = 4*k + 51. Calculate the lowest common multiple of 2 and k.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 1759061 to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*u**3\/19 + 16086*u**2\/19.\nAnswer: -2*u**2*(u - 8043)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((2*sqrt(56))\/sqrt(4))\/(sqrt(4)\/(2*sqrt(2) + sqrt(2) - sqrt(2))).\nAnswer: 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 43*d - 82*d + 1248 = 0. Suppose 0 = x - 2*x + v + 221, 5*x - v - 1117 = 0. What is the highest common factor of x and d?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many decades are there in eighteen fifths of a century?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a be ((18\/(-21))\/2)\/(-6 + 189\/28). What is the nearest to -4 in -2, 3\/2, a, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(i) = -i**3 - 11*i**2 - 10*i + 20. Calculate the smallest common multiple of k(-10) and 24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: 57\/171*(4 + -1) - 19\/21\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 14*j + 5*k + 58 = 188, -9*j + 4*k = -12 - 86 for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let w(s) = -6257*s - 143912. What is w(-23)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -4\/882572829 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -145\/54 and 35\/18?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let w = -41 - -41.4. What is the closest to -0.7 in -0.4, w, 4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -6204\/7 + 889. Let c = z + -13\/7. What is the nearest to 1 in c, 0.1, -1\/6?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.03 in 1\/5, 3\/4, -2\/13?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Convert 3707463 (base 8) to base 16.\nAnswer: f8f33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 77915?\nAnswer: 5, 15583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 588 minutes before 6:41 PM?\nAnswer: 8:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2\/9 in -2, -5, -3\/8, -3\/2, 5, -1\/304?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 149286 and 12321.\nAnswer: 613117602","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Determine y so that -2*y**4\/5 - 293732*y**3 - 269617337114*y**2\/5 + 215697394488*y - 1078492847112\/5 = 0.\nAnswer: -367167, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-2 + 0 + sqrt(325) - sqrt(325)) + 2*sqrt(325) + -2 + (2*2*sqrt(13) - (sqrt(13)*3 + 3)))**2.\nAnswer: -154*sqrt(13) + 1622","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*j**4\/4 + 401*j**3\/4 + 221*j**2 + 55*j = 0. Calculate j.\nAnswer: -55, -2, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let w(x) = -4*x. Let f(r) = -7*r. Let m(k) = f(k) - 2*w(k). Let q(g) = 3*g - 3. Determine q(m(p)).\nAnswer: 3*p - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 3394234711?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence dn when two letters picked without replacement from nnnnnndnnnnnnnnnnnn.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*h - 5 - 20 = 0, -h - 1 = n. Suppose -6*u + 26 = -n. Solve -u*q + 5 = -6*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1692184082 to the nearest integer?\nAnswer: 41136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 6 and 2088?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let l(n) = 23448*n**2. Let r(q) = 2*q**2. Determine r(l(x)).\nAnswer: 1099617408*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 120 = -16*p + 136 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let a(f) = 1 - 4*f + 4*f**2 - f + 4*f. Let g = 9 - 30. Let p = g - -22. What is a(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 7 + 102?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let p = 4354 - 4365.316. Round p to 0 dps.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 6204 and 94?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -s + 11 - 1 = 5*m, 0 = -2*m - 3*s + 4. What is the second derivative of 2*p - m + 2*p**3 + 2 wrt p?\nAnswer: 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(a) = -a**2 - 10*a + 14. Let w be t(-11). Let d(b) = -3 - b - b**w + 4*b + 2*b**2 + b. Let n be d(3). Solve -z + 4*z - 9 = n for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(g) be the third derivative of g**4\/24 - g**3 + 12*g**2. What is k(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-2)\/4*(3 + 6\/2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Product of -12 and 565.\nAnswer: -6780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let k = 111 + -107. Let v(c) = c + 8. Let u be v(-6). Sort k, -3, -1, u.\nAnswer: -3, -1, u, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*y**4\/7 + 1018*y**3\/7 - 8568*y**2.\nAnswer: -2*y**2*(y - 441)*(y - 68)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Does 91 divide 2809261?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let v = 133641\/4 - 33213. Let w = -198 + v. Which is the second biggest value? (a) 1\/3 (b) 3 (c) 2\/7 (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3365482?\nAnswer: 2, 47, 35803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 50 = 77*g - 67*g. Suppose -g*t = -3*d - 2037, t = -d + 44 + 357. Does 9 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 5198.548 millennia to months.\nAnswer: 62382576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1\/6 in 1\/2, 28\/3, -5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 12780 and 121782537?\nAnswer: 639","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let b(p) = -p**2 + 9*p - 3. Let g be b(8). Suppose w - 37 = s + 6, w - g*s = 51. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine s so that 144*s**4 - 12552*s**3 + 251553*s**2 + 969798*s + 294849 = 0.\nAnswer: -3, -1\/3, 181\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 38\/((-228)\/(-126)) - 5 and ((-18)\/8)\/(6\/(-16))?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -52040821*o*y**4 + 19*o*y**2 - 21*o*y + 2*o - 3*y**6 + 53*y**2 + 36*y - 8 wrt y?\nAnswer: -1248979704*o*y - 360*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let a(y) be the third derivative of -y**8\/168 + 3*y**7\/35 - y**6\/2 + 23*y**5\/15 - 11*y**4\/4 + 3*y**3 - 19*y**2 - y. Factor a(g).\nAnswer: -2*(g - 3)**2*(g - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 1 + 101?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let w = 428 - 420. Calculate the least common multiple of 336 and w.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -32244, -32674, -33122, -33594, -34096?\n\"Answer: -n**3 - 3*n**2 - 414*n - 31826","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*b - 44 + 165 = 53, 17*h + 233 = -16*h + 4*b for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Are -460 and -459 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*n = 9*w - 558381, -34*n - 310257 = -5*w - 30*n. What are the prime factors of w?\nAnswer: 5, 12409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 76720 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Subtract 2532035 from -0.07859.\nAnswer: -2532035.07859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let j be (9 - (2 - -1)) + -1. Suppose -j*o - 84 = -7*o. Suppose o = 2*n + n. Calculate the greatest common divisor of 28 and n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(s) be the third derivative of -1\/60*s**5 + 3*s**2 + 0 + 0*s**4 - 1\/3*s**3 + 0*s. Differentiate n(o) with respect to o.\nAnswer: -2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 9 + (-5 - (0 + -1)) - 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (-j**2 + 1 - 1)*(-8*j**3 - 196141*j**2 + 3 + 196141*j**2 + 27*j).\nAnswer: 8*j**5 - 27*j**3 - 3*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence xrx when three letters picked without replacement from xcrfccjcfcxfcxqcrc?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 2333159 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -74474*b**6 - 15*b**3 - 4287448*b**2 wrt b?\nAnswer: -8936880*b**3 - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let y be (4\/3)\/(2\/(-9)). Let t(x) = -x**3 - 5*x**2 + 3*x - 2. Suppose 2*c - 3*d - 75 = 0, 0 = -c - d - d + 20. What is the remainder when c is divided by t(y)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(g) = 2*g + 18. Let l be p(-7). Suppose 6*i - 10 = l*i. Solve 3 = -i*v + 2*b - 22, 4*b = -5*v + 5 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(d) be the second derivative of -d**5\/20 - 4*d**4\/3 + 2*d**3\/3 - 8*d**2 + 3*d. Is z(-17) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -23*u - 10*u + 150 = -3*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((m*m*m**(1\/2)*m)\/(m*m\/((m*m**(-6))\/m)))\/((m**(2\/5)\/m*m)\/m*m)**34)\/((m\/m**(1\/2))**(-1\/44)*m**(-1\/17)\/(m**(2\/5)\/m*m)) assuming m is positive.\nAnswer: m**(-131871\/7480)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let y = 328 - 329. Let g(a) = -a - 1 + a**2 - 1 + 3. Let h(u) = 8*u**4 + u**2 - 20*u + 1. Let o(x) = y*g(x) + h(x). Find the second derivative of o(l) wrt l.\nAnswer: 96*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -100000 + 1101110111001111?\nAnswer: 1101110110101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Express -22*u**4 + 21*u**4 - 3 - 3*u + u**2 + 4*u as h*u**4 + w*u + j*u**2 + d + a*u**3 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: -118022 divided by -6\nAnswer: 59011\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let n = -20425 - -20429. Let f = 18 + -8. Suppose -f = -q + 5. Solve v - 4 + 1 = -n*h, 5*v - q = -h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*j + 5*d - 21650, -2*j = -0*j + 4*d - 8666. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 179*v - 4692 = 383*v for v.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is next in -53469, -53469, -53455, -53421, -53361, -53269, -53139?\nAnswer: -52965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 1729, 6938, 15619, 27772, 43397, 62494?\n\"Answer: 1736*y**2 + y - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let d(f) be the third derivative of -f**9\/60480 + f**8\/20160 + f**7\/5040 - f**6\/720 + f**5\/10 + 4*f**2. Let v(c) be the third derivative of d(c). Factor v(z).\nAnswer: -(z - 1)**2*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*m + 9 = -19. Let l be (4\/6)\/(m\/(-168)). Let u = l + 32. Solve -u*k + 2*q - 20 = 0, 2*k + 14 = -2*q + 4*q for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 3583 - 1866. Let p = r - 1006. Suppose -i + 159 = -0*i - 5*z, 0 = -5*i + 4*z + p. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*r = 3*u + 2 + 3, 2*r - 4 = 0. Let d = u + 18. What is the remainder when 102 is divided by d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -455464 - -135?\nAnswer: -455328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1268.\nAnswer: 2, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 40500343 to the power of 1\/2, to the nearest integer?\nAnswer: 6364","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is -0.1696 at least 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let f(b) = -2*b + 53. Let i be f(25). Solve -q + 8 = -4*u, -4*q + i*u - 7*u - 8 = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -58 - (50 + -41 + -71)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -32*a**2*w**4 - 217*a**2*w**2 + 83553*a*w**4 + 56037*a*w**2 wrt w?\nAnswer: -768*a**2*w + 2005272*a*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let w = -2.28 + 3.28. What is the biggest value in w, 0.26, 2\/9?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(g) = -g - 1. Let k be v(-6). Let l = -1949 + 1948.9. Which is the second biggest value? (a) -0.5 (b) l (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -17 + 19. Suppose f*g + 9 = 39. Let i be (-10)\/g - (-152)\/12. Calculate the highest common factor of i and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(a) be the first derivative of 2*a + 1 + 0*a**2 + 1\/18*a**4 + 1\/9*a**3. Let c(q) be the first derivative of u(q). Find m, given that c(m) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from hhyhhyhh. What is prob of picking 1 h and 1 y?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2\/5 in -0.5, 2\/51, -4, 3\/7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Determine i so that 420903125*i**2 - 367000*i + 80 = 0.\nAnswer: 4\/9175","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/10 of a tonne in grams?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*s + s - 3*s)*(3 - 3 + s**2) - 2 - s**3 + 2 + s**3 - s + s + (4*s**2 - 3*s**2 + s**2)*(-s + 3*s - 4*s) - 3*s**3 - 4*s**3 + 6*s**3.\nAnswer: -10*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let j = 27259 + -60149. Round j to the nearest 1000.\nAnswer: -33000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 132575 is divided by 17.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*k - f + 2*f - 28, 4*k - 3*f = 44. Is 6 > k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 33437 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let w(o) = -o**2 + o - 1. Let s(g) = -78*g**2 + 4*g - 7. Give -s(q) + 4*w(q).\nAnswer: 74*q**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in 21\/4 of a hour?\nAnswer: 18900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-178)\/(-356)*4\/1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*a - 2 = 3. Is (-11)\/2*(-3 + a) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in -2\/5, 2, -1\/2, 53?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -4, -30, 11.4, -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 2\/7, -25\/4, 1.4, 8, -0.2, -9\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 94550 is divided by 22.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -34*h - 12*h - 19*h + 30 + 3*h - 23.\nAnswer: -62*h + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 11187?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let q(u) = -u**3 + 6*u**2 + 2*u - 2. Is q(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(q) = q**3 - 4*q**2 - 8*q - 34. Calculate s(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let a(b) = 3*b**2 - 630*b - 1. Let z(q) = -2*q + 177. Calculate z(a(u)).\nAnswer: -6*u**2 + 1260*u + 179","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let x be (0 - 0) + 1 + 34. Let p = x + -2. Let u(w) = -66*w + 11. Let s be u(0). Calculate the greatest common divisor of p and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 22031624?\nAnswer: 2, 911, 3023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Convert -10 (base 3) to base 13.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*k + 4, -41 = 5*q - 5*k - 16. Let w(j) = 103*j**2 - 2781*j + 4. Let n be w(27). Put -9, q, 0, n in descending order.\nAnswer: n, 0, q, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -313333 - 12?\nAnswer: -320011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(6)\/sqrt(27) + (sqrt(72)\/sqrt(4) - sqrt(18)))*-4 + -4)**2.\nAnswer: 32*sqrt(2)\/3 + 176\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let k(r) = -4*r + 1 + 2*r**3 + 0*r**2 + 2*r**2 - r**3. Let j be k(-3). Let b = j + -3. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Express ((-1 + 5 - 6)*(3 - 6 + 1) + 0 + 3 - 4)*(12 - 31*s - 35*s + 61*s + (-s + 2 - 2)*(22 - 6 - 86)) as y + n*s and give y.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*v = -5*h + 20, 0 = 3*h - 5*v + 10 - 22 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-588)\/72*6\/42.\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 41*f = -45*f. Solve -15*s - 2 + 77 = f for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -w**3\/5 - 18*w**2 + 6487*w\/5 + 6576\/5.\nAnswer: -(w - 48)*(w + 1)*(w + 137)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -8 + 31 - 67*z - 20 + 407*z to the form n + q*z and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-63882005)\/(-7) + 2\/7. Let z = i + -1826001. What is z rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be ((-666)\/28)\/((-7)\/(196\/24)). Let d = 2\/7261 - 922157\/36305. Let b = k + d. Calculate the common denominator of -13\/14 and b.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 182251 is divided by 26?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Sort -424\/11, 0, -7, -0.4 in descending order.\nAnswer: 0, -0.4, -7, -424\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 847*o - 864*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Convert -106ab (base 13) to base 12.\nAnswer: -15244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s(w) = w**3 + 8*w**2 + 14*w + 15. Let r be s(-6). Suppose -r*m - 5*d + 27 = 0, 4*d - 2*d = 2*m - 2. Solve -9 = -m*q + 7 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(q) be the third derivative of q**5\/20 - q**2. Suppose 3*u + 4*h = 0, 2*h + 18 = 4*u - u. Let m(o) = 2*o**2 + u*o**2 - 7*o**2. What is m(t(k))?\nAnswer: -9*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 207 (b) -8 (c) -0.2 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Put 0.2, -0.15, -4, -0.1 in decreasing order.\nAnswer: 0.2, -0.1, -0.15, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let p(r) = 2*r. Let m(n) = -n + 1. Let t(l) = -l + 1. Let i(y) = 2*m(y) - t(y). Let j(v) = v**2 + 4*v - 4. Let u(z) = 4*i(z) + j(z). What is p(u(k))?\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -100 - 110010?\nAnswer: -110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let c(r) = -10*r**2. Suppose -2*a - 5*n = -3*a + 17, 2*a = -3*n + 8. Let t(q) = -9613 + 9613 + a*q**2. Give t(c(o)).\nAnswer: 700*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -32074, -32764, -33454, -34144, -34834?\n\"Answer: -690*s - 31384","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -75\/205208512 and -105\/29701232?\nAnswer: 2257293632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 9665922 is divided by 13?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*n - 14524*h + 14526*h - 21 = 0, 4*n - h + 15 = 43 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -3\/5? (a) -0.3 (b) 1 (c) 0.5 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 102102238, 102102239, 102102240, 102102241, 102102242?\n\"Answer: h + 102102237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2614 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -1 + -515?\nAnswer: -516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is next in 550015, 1099946, 1649877, 2199808, 2749739?\nAnswer: 3299670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let f(i) = 2*i. Let r(t) = t**3 + 7*t**2 - 9*t - 8. Let o be r(-8). Let x(l) = -l**2 + 4*l + 3. Let j be x(4). Let z(m) = -j*m - 3*m + o*m. Calculate f(z(h)).\nAnswer: -12*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 1000010001111110 - 1?\nAnswer: 1000010001111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-5 - 0) + (9 - 14) + 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 19 a factor of (73 + -728)\/(6\/(-228))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*c + 47 = 55. Let u(a) = 2*a**2 - a + 2. Let x be u(-6). Suppose -c*h = -20 - x. Calculate the greatest common factor of 25 and h.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (4 - 7)\/((-2)\/(-4)). Let b = v + 7. Let k(g) = -1. Let d(y) = 12*y - 7. Let w(r) = -5*r + 3. Let z(s) = 6*d(s) + 15*w(s). What is b*z(f) + k(f)?\nAnswer: -3*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 5996 and 635576?\nAnswer: 635576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let d(p) = 2*p**3 - 2*p**2 + p + 1. Let t be d(1). Let j = -50 + 59. Solve 12 = 4*m - t*c, 2*m + m - j = -5*c for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -20*b**3 + 161920*b**2 - 327968825*b + 982449735 = 0 for b.\nAnswer: 3, 8093\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let n(x) = 40*x - 116. Give n(4).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let q(v) be the first derivative of -1\/3*v**3 + 2*v**2 - 2*v - 7. Let x(f) = f + 5. Let j be x(0). Determine q(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 71128370.5 to the nearest ten thousand.\nAnswer: 71130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -188, -189, -190?\n\"Answer: -q - 187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*h + 2*o - o + 210 = 0, -5*h + 225 = 2*o. Let g = h + -23. Solve -k + 20 = -4*j, -j - 3*j = k + g for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-99)\/(-14) - 7)*-1\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from lllllll. Give prob of picking 3 l.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 41*c - 641 = 4*c + 62 for c.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 0 (b) -4 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify 0 + (sqrt(1331) + (sqrt(1331) + 3 + 2 - sqrt(1331)))**2.\nAnswer: 110*sqrt(11) + 1356","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) 1889 (b) -54\/7 (c) -0.72\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 7*d**2*l**3*p - d**2*p**2 - 25*d*l**3*p**3 - d*l**2*p**2 - l*p**3 - 9*l*p wrt l.\nAnswer: 42*d**2*p - 150*d*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 183976 and 444019.\nAnswer: 1769","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Express 30*i + 62 - 34 + 10*i - 32 in the form s*i + j and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose u = -3*u. Suppose u = -2*j + 3*j - 93. Let g(x) = 829*x - 23180. Calculate the remainder when j is divided by g(28).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -19907 = -11247*q - 222353 for q.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let z be 64\/704 - (-109)\/11. Let a(o) = -o**2 + 2*o + 12. Give a(z).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose b = -4*f + 8, -218*f + 220*f - 4 = 0. Solve -3*j + 12 - 21 = -5*z, z = b for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be 4\/12 - (2\/(-3))\/1. Find g such that 8*g**3 + 6*g**5 + l - 4*g - 10*g**5 + 8*g**2 - 4*g**4 - 5 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 100 a factor of 69793008?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*y - 19 = -5*s, -6*y - 7 = 4*s - y. Suppose -s*x + 10*b + 114 = 7*b, 2*x - b = 114. What is the greatest common divisor of x and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -279*z + 13033517 + 41072116 = 0. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from mkmmmkklkkkmmmmkmm. What is prob of picking 2 m and 2 k?\nAnswer: 21\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((h\/((h**(2\/19)\/h)\/h))\/h*h**(-7)*(h**3)**(-36\/7))**33 assuming h is positive.\nAnswer: h**(-90123\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {s: 6, k: 4, q: 1}. What is prob of picking 3 k?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -2826, -5627, -8428, -11229, -14030?\n\"Answer: -2801*h - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let t(f) be the first derivative of -3*f - 5\/3*f**3 + 3\/2*f**2 + 10 + 3\/4*f**4. Does 21 divide t(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10 - 10 = -5*k. Suppose 3*u + u = -p + k, -3*u = -3. Suppose -j - 2*j + 66 = p. Does 11 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1302651?\nAnswer: 3, 7, 23, 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 0, 7, -0.1, -2\/43, 5, -22\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -13*a + 39 - 130 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 7*x + 0*x = 4*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let r(k) be the second derivative of k**9\/5040 + k**5\/40 + k**4\/4 + 3*k. Let h(j) be the third derivative of r(j). What is the first derivative of h(n) wrt n?\nAnswer: 12*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -50150, -50147, -50142, -50135, -50126, -50115?\nAnswer: -50102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3 + (((-1 + sqrt(2736))*3)**2 - (sqrt(2736) - (3 + (sqrt(2736) - sqrt(2736)*-1)**2))) + ((sqrt(2736) + 0 + sqrt(2736))*5*-6)**2 + -4.\nAnswer: -228*sqrt(19) + 9885179","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 5\/273 in -7, -4, 1\/9, 0.3?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let n = 26.66 + -21.9. Let s = -2.76 + n. What is the second smallest value in s, -3, 0.7, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(s) = -s**2 - 7*s + 3. Let z be m(-11). Let h = -36 - z. Solve -3*i + 5 = 2*c - 4*c, h*i - 8 = 3*c for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(p) be the second derivative of -p**3\/6 - 4*p + 141. Let j(a) be the second derivative of -a**4\/12 - 5*a**2\/2 - 2*a. Calculate n(j(l)).\nAnswer: l**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 439 at most -22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -c + 3*c = 10. Suppose -2*m - w = -5*w - 88, w = -c*m + 275. List the prime factors of 12\/m + (-2980)\/(-36).\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*i + 857 = -135. Let m be (-1)\/3 - (685\/(-3) - -4). Suppose -4*r + i + m = 0. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 695*q - 1 - 684*q + 2*q**3 - q**3 in the form a*q + x*q**3 + o*q**2 + g and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of (-7751)\/(-184) - (-4)\/(-32) and 12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (7 + -9 - -8)*(-6 + (-76)\/(-12)). What is the highest common divisor of 2722 and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many centuries are there in one tenth of a millennium?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 9 divided by -8694846?\nAnswer: -1\/966094","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let k(b) = -50*b**2. Let v(x) = -3*x + 19. Calculate k(v(f)).\nAnswer: -450*f**2 + 5700*f - 18050","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 10 + 5450?\nAnswer: 5500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 10615585, 10615583, 10615581?\n\"Answer: -2*v + 10615587","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w**19\/w*w**(-6\/19))**(5\/2) assuming w is positive.\nAnswer: w**(840\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let n be ((-1)\/(-3))\/((-202)\/(-606)). Let p(i) = -2*i + 9. Let x(z) = z - 1. What is n*x(y) + p(y)?\nAnswer: -y + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from vaaxaxnhaxahna. What is prob of picking 1 n and 2 x?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*j + 3*j + 2 = 0. Suppose 13 = -w + 4*q, w - 2*w + q - 4 = 0. Let d = 1.56 + 1.44. What is the closest to w in d, j, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(y) = 2*y**2 - 4*y - 1. Let b be n(3). Suppose i = b*i. Solve d = -i*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(s) = -s**3 + 134*s**2 - 4263*s - 47. Determine i(52).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let f = -0.48756 + 0.5511. Round f to two dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: 80*4288.84\nAnswer: 343107.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand ((3 - 1 + 3)*(752*p**3 - 752*p**3 - 25*p**4) - 2*p**4 + p**4 + 3*p**4)*(0*p + p + 0*p).\nAnswer: -123*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 0.2, 0.20848, -3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let n(i) = -153*i**3 - 14*i**2 - 18*i - 4. Does 44 divide n(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(j) = -j**2 + 3*j + 2. Suppose 0 = -4*o, 5*o = -6*z + 3*z - 15. Let k = z - -7. Calculate the remainder when 7 is divided by m(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -27730 + 47790. What is the ten thousands digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*l = -5*k + l + 7849995, -4*l = 4*k - 6280020. What is k rounded to the nearest one hundred thousand?\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -14 + 16. Suppose 5*m - 10 = 4*v, k*v + 23 = -v - 4*m. Let d be v\/(-3)*(-98 - -11). Round d to the nearest ten.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 137 a factor of 6850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -21*s**2 + 12*s**2 + 6*s**2.\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 0 + 15395944?\nAnswer: 15395944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Put -23289, -25, -3, -1 in ascending order.\nAnswer: -23289, -25, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let z = 955\/11 + -87. Let l be (24\/15)\/(4\/10). Let b = 5 - l. Are b and z unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ztwtkzzkssszktttkk. Give prob of picking 2 s and 2 k.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: 8 + -65 + 33 + 9 - (-75 - 0)\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 32332796 rounded to the nearest 10000?\nAnswer: 32330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let w(z) = -22*z + 1638. Let u(r) = -5*r + 409. Calculate 9*u(f) - 2*w(f).\nAnswer: -f + 405","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 134132755?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1\/6 in 2\/7, 209374.9, 0.4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let r = 9 - 13. Let m = -20 - -19.9. Which is the third biggest value? (a) m (b) r (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 38 (base 13) in base 4?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -463*h + 4 = -465*h, -313*h = -5*y - 310*h - 54 for y.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {y: 4, g: 2, w: 1, h: 4}. What is prob of picking 1 w and 1 h?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 43.33522ml in litres?\nAnswer: 0.04333522","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 32*y = 36*y - 12. Solve -y*k + 8 = 5 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: -50 - 3 - (11 + 0 - (19 + (-1 - 0)))\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*k = 2*z - 2, z - 2*k + 0 = 2 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -627217 or -627356?\nAnswer: -627217","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Sum 48.3 and -570.\nAnswer: -521.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let m(l) be the second derivative of -l**4\/3 + 2*l**3\/3 + 217*l. Factor m(b).\nAnswer: -4*b*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -48 - -53. Let n(u) be the second derivative of -3*u + 0 + 0*u**2 + 1\/45*u**r + 1\/135*u**6 + 1\/54*u**4 + 0*u**3. Factor n(x).\nAnswer: 2*x**2*(x + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 19*g - 4*c + 20 + 32 = 23*g, 0 = g + 5*c - 25 for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: -93 + 2.6\nAnswer: -90.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence nfy when three letters picked without replacement from tofyyyfnfnynyoy?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 140385787 is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 186887893?\nAnswer: 186887893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 1750 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: Suppose 5*t**2 + 21013495*t + 21013490 = 0. Calculate t.\nAnswer: -4202698, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let w(q) = q**3 + 4*q**2 + q + 4. Let g be w(-4). Suppose -9*k + 14*k + 155000 = g. Round k to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -542900 rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let k(r) = 2*r. Let y(w) = -2*w**2 + 8922 - 4459 + 3*w**2 - 4457. Calculate k(y(s)).\nAnswer: 2*s**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 31\/2 of a century in years?\nAnswer: 1550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -2 + 4240313?\nAnswer: 4240311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2? (a) -4 (b) 1.1 (c) -0.5 (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -1\/5, -5, -1603, -0.5, 2\/9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 102 is divided by 35.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let c(v) = -1201*v - 13014. Determine c(-13).\nAnswer: 2599","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 564 - 2*k**2 - 147 + 691*k**3 - 687*k**3 + 4*k**2 - 3*k**2.\nAnswer: 4*k**3 - k**2 + 417","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let x = -201 - -605. Let i = 404.00000411 - x. What is i rounded to seven dps?\nAnswer: 0.0000041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from kullulullkuukllkull. What is prob of picking 2 u?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let r(t) be the first derivative of 345*t**2\/2 - 18*t + 691. Differentiate r(m) wrt m.\nAnswer: 345","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -1174*l + 1836*l = 1537 - 16763 for l.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: 267 (base 13) to base 14\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -14 in 1, 0.1, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 1.07 and 1.029?\nAnswer: 1.10103","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -r + 24 = 2*r. Suppose -3*l + 54 = 2*h + 2*l, 0 = 5*h - 5*l - 100. Calculate the remainder when h is divided by r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: (-1703)\/(-143) - (1 + (-328)\/16)*(-50)\/75\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Express (-221*h + 167 - 167)*(-7*h + h + 3*h) + 5*h - 5*h - h**2 in the form m*h + d*h**2 + f and give d.\nAnswer: 662","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Put 147, -1\/18, -1\/4, 0.3, 0.2 in decreasing order.\nAnswer: 147, 0.3, 0.2, -1\/18, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let c = 4.014 + -0.014. Put -1, 0, c, 5\/3 in decreasing order.\nAnswer: c, 5\/3, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(t) be the first derivative of 11*t**3\/3 + 4*t + 9. Differentiate g(p) with respect to p.\nAnswer: 22*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2\/9? (a) 3 (b) 27576 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -2534*u + 2523*u + 11 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = r - 4*t + 16, 2*r + 104 = 3*r + 3*r + 39*t + 3 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 11 - (-8 - -12 - (1 + -3)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put together -361955 and -1.\nAnswer: -361956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 8746?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let s(m) = m**3 + 25*m**2 - 121*m - 184. Calculate s(-29).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-1)\/(-4)*(165\/30 - 4). Sort -2, 0, 32, y in descending order.\nAnswer: 32, y, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -135 + 151. Which is smaller: t or 20?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*b + 2*w, 5*b - 29 - 3 = 3*w. Suppose 0*h + 37 = -5*h + 4*d, b*d = -2*h + 2. Let n(q) = -q**2 - 4*q - 1. What is n(h)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: 112021242 (base 5) to base 16\nAnswer: 7a6c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z be (0 - (-6)\/(-36))\/((-1)\/(-7)). Which is the second biggest value? (a) -4 (b) -0.1 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -1 + 0.8. Let k = -14.2 - -14. Let s = -1 + 4. What is the closest to k in -0.3, s, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of (4587670\/1410)\/((-1)\/(-12) + 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 789 - g - 789.\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 25\/4 of a gram in milligrams?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o = 0.2 - 0.25. Which is the nearest to o? (a) 5 (b) 0.2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 604568877 is divided by 100761479?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in 848782.8 millennia?\nAnswer: 848782800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l(j) = -j**3 + 7*j**2 + 9*j - 6. Let k be l(8). Suppose -k*y = -132 + 30. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be (2\/(-3))\/((-10)\/225). Let z = j + -9. Let b(y) = -18 - 2*y + 2*y + 8 + y. Give b(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve s = -4*m - 16, 18 = -4*s - 11*m - 31 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 61, 74, 99, 142, 209, 306, 439, 614?\n\"Answer: t**3 + 6*t + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -38*m + 35*m + 5*r - 9, -3*m = 4*r - 18. Solve 4*v - 10 = m*h, -2*h + 14 = -43*v + 47*v for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((1 + (sqrt(1088) + -1 - sqrt(1088)) + 2)*-6)**2 + (2*(1 + -6*sqrt(1088)*1))**2.\nAnswer: -384*sqrt(17) + 156820","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let d = 88.8 - 89. Let x(y) = -y - 1. Let j be x(-3). Let q be ((-1)\/j)\/(1\/2). Which is the closest to q? (a) d (b) -2\/23 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 79155869?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*f + 4 = -3*p, 0 = -5*f + 95*p - 92*p + 37. Let t(m) = -m**3 - 9*m**2 - m - 9. Let r be t(-9). Solve r*w - 4*w = 3*d - f, -2*w - 2*d = -6 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -1\/120058 + 720353\/600290. Factor j*c + 4\/5 + 2\/5*c**2.\nAnswer: 2*(c + 1)*(c + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} {"text":"Question: Rearrange 1383*j**2 + 1 - 18662*j + 447*j**2 + 18662*j to o*j + q + b*j**2 and give b.\nAnswer: 1830","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-35)\/(-5) - (-34)\/1. Differentiate 66*c - g - 25*c + 44*c + 0*c**2 - c**2 + 163 with respect to c.\nAnswer: -2*c + 85","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2\/7? (a) -5 (b) 44116 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let x(g) = -8 + 4*g**3 + 0*g**3 + 2*g**2 + 8. Determine x(-2).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-4)\/(-22) + (-4)\/22. Solve 0*c = c + 5*j - 19, u = -j + 4 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(w) = -2*w. Let j(x) = 46*x - 19. Calculate b(j(c)).\nAnswer: -92*c + 38","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*o + 4 + 25 = p, 0 = -2*p - 3*o + 33. Let g(f) = 3 + f**3 + 5*f**2 - p + 8. What is the units digit of g(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(c) = c**2 + c - 1. Let z = 1 + -2. Let t(k) be the first derivative of k**4 + 2*k**3\/3 + k**2 - 2*k - 257. Give z*t(j) + 2*q(j).\nAnswer: -4*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let h be -9 - (2 - 6 - -3). Let k = 25 + h. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in -1807963, -5, -10?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 7765\/(-3106)*(-178)\/5?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q(x) be the first derivative of x**4\/4 + 4*x**3\/3 - 5*x**2 - 22*x + 86. Let f be q(-5). Solve 4*w + 26 = -3*a, f*w = -2*a + 5*w + 6 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(r) = -8680*r + 6791. Let p(g) = 4326*g - 3395. Let q(k) = 4*f(k) + 9*p(k). Differentiate q(y) wrt y.\nAnswer: 4214","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -5, -37, -83, -143, -217, -305?\n\"Answer: -7*j**2 - 11*j + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 5\/4 in -0.57, -4, -1\/2, -10?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let x(q) = 189*q**2 - 12*q - 13. Let i be x(-4). Suppose -5*g = -i - 131. Does 73 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is seven sixteenths of a kilometer in centimeters?\nAnswer: 43750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l(w) = w**3 + 11*w**2 + 17*w + 53. Calculate l(-10).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 1584930030 rounded to the nearest one million?\nAnswer: 1585000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let c(g) = -2*g + 3. Let q(v) = -2*v + 3. Let d(o) = -6*c(o) + 7*q(o). Suppose 5*r = -2*l - 31, 4*l = 757*r - 759*r + 10. Give d(r).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(b) = -b - 9. Suppose 3*w + 40 - 13 = 0. Let n be m(w). Suppose n = -2*d + 6*d - 112. Does 14 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1339 divided by 103?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let s(m) = 37*m**3 + 5*m**2 + 5. Let n(q) = 480*q**3 + 64*q**2 + 64. Calculate -5*n(j) + 64*s(j).\nAnswer: -32*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 6845440 and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1657*w + 1659*w = -k + 19551, 0 = 2*k + 3*w - 39109. Is k a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(o) = -15*o - 136. Calculate a(-9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*i - 9*i - 2 - 7*i)*(10*i + 8 - 8) + (-3*i**2 + 3*i**2 - 3*i**2)*(3 - 2 - 3).\nAnswer: -114*i**2 - 20*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*x - 4*f - 36 = 0, 0 - 4 = 4*x + 5*f. What is the units digit of (-159)\/(-12) + 3\/x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 6 + 3. Let f(u) = 0*u + 16 + 8*u + 8 + x. Let i be f(-4). Solve 0*v - i = -v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 12884 is divided by 11323.\nAnswer: 1561","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let n(t) = 409*t. Let h(a) = -2*a**2 + 41*a - 111. Give h(n(r)).\nAnswer: -334562*r**2 + 16769*r - 111","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 1721 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let f(w) be the third derivative of -w**6\/120 - w**5\/30 + w**4\/24 + w**3\/6 - 7*w**2. Determine f(-4).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 28721030?\nAnswer: 2, 5, 13, 220931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -13 + (-39 - (-32 + -32))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a\/(a**(-29)\/a))\/(a**(-42\/5)*a)*a**(2\/79)\/(a\/a**15) assuming a is positive.\nAnswer: a**(20708\/395)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let r(t) = -2546565*t**3 - 2763. Let z(u) = -1844*u**3 - 2. Give 2*r(v) - 2763*z(v).\nAnswer: 1842*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let y(x) = 177*x**2 - x + 2597. Is 16 a factor of y(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -36 = -6*y + 2*n, 940*y - 934*y - 5*n = 45 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -1 + -1a872?\nAnswer: -1a873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*y = -z + 12, -5*y - 47 = -4*z - 20 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -u = 4*j + 4, 0 = -5*u + j + 3*j + 28. Solve 0*z = -3*c - z - 3, c + 2*z = u for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 19224 + -11344. What is the units digit of x\/30 + 8\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 821463607 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let a(r) = -38*r**3 + r**2 + 5*r + 2. Let m be a(-2). Suppose 0 = -14*t + 8*t + m. Is t a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -0.2, -2\/5, -1\/99 in decreasing order.\nAnswer: -1\/99, -0.2, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (2 + 2098\/(-1092) + (-113)\/791)\/(155\/(-248))?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-10)\/(-12))\/(16\/(96\/(-1)))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*a + 7*a - 112. Suppose -2*k = -5*f - 137, 0 = -2*k + 4*f - 7 + 139. Suppose -3*x + k + a = 0. List the prime factors of x.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.25 and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve -43*d = -28*d - 60 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when ((-32)\/24)\/((-4)\/186) is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*v + 12*v - v - 7*v.\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 64*r**3 + 2362597*r - 290192580.\nAnswer: 192*r**2 + 2362597","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let d = 64 + -64.00116. Round d to four decimal places.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 11234746217 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 53 minutes before 12:25 AM?\nAnswer: 11:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let m(r) = -r. Let l = 181 + -187. Calculate m(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 38 - (11 + (1 - 3 - 1) + (-1548 - -1538)).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence jcqh when four letters picked without replacement from fqhjcqojoochhc?\nAnswer: 3\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1230899684 to the nearest integer?\nAnswer: 35084","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*s**3 + 700*s**2 - 695*s = 0. Calculate s.\nAnswer: 0, 1, 139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let q = -4 - -55. Calculate the remainder when 33 is divided by q*(1\/3)\/1.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(x) = -x**3 + 6*x**2 - 2*x + 1. Suppose -4*z - 2 = -c + 5, -10 = -4*c - 2*z. Suppose 0 = c*m + m - 20. What is the remainder when i(m) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 528 is divided by 42.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let g(d) be the second derivative of -d**7\/420 - 11*d**6\/75 - 31*d**5\/50 - 19*d**4\/60 + 25*d**3\/12 + 41*d**2\/10 + 9700*d. Solve g(r) = 0 for r.\nAnswer: -41, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(j) = 306*j - 508. Is n(4) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -2*(15\/(-21) - -1) - (-66)\/(-7).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.1 in 5, 0.3, -14, 108?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*w - 7*w = 3*w - 21. Which is the biggest value? (a) 286 (b) 3 (c) 0.1 (d) -0.2 (e) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 2\/3 (b) -7 (c) -1 (d) 0.2 (e) 2 (f) 21914\/3 (g) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let y(a) = -a**3 - 1. Let n(u) = -6*u**3 + 8*u**2 - 9*u + 4. Let s be ((-1)\/1)\/(6\/(-30)). Let l(j) = s*y(j) - n(j). Does 5 divide l(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-2)\/(-6))\/(1 + (-12)\/9)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let n be (2 + -10 + 3)\/(-1). Suppose n*m - m - 8 = 0. Solve 3*x = m*a - 2*x + 17, 5*a + 11 = 2*x for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: -904 * -2319\nAnswer: 2096376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) = -163*l**3 + 3*l**2 - 14*l - 28. What is the ten thousands digit of d(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1999 = 32*u + 1999. Solve -5*o - 25 = u, 0*o = 5*d - o for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {t: 4, u: 1, d: 1, h: 3, g: 5, k: 1}. What is prob of picking 2 g, 1 d, and 1 h?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*(-3 + 0 + -4*sqrt(2))**2.\nAnswer: 48*sqrt(2) + 82","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 z and 2 f when three letters picked without replacement from {b: 2, e: 2, m: 2, z: 1, f: 2, a: 10}.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 = -f - f. Suppose -5 - 7 = -q - 2*s, -4*q + 45 = 5*s. Let x be (6\/10)\/((-4)\/q). Put f, x, 0 in descending order.\nAnswer: f, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in -4, -1, -33\/5, 4, 2?\nAnswer: -33\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -180250241, -180250243, -180250245, -180250247, -180250249, -180250251?\n\"Answer: -2*o - 180250239","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let r = -35471 - -35472. Let d = -0.8 + -0.2. What is the second smallest value in -1\/2, r, d, 11?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(r) be the first derivative of -7*r**4\/2 - 3364*r**3\/15 - 20256*r**2\/5 - 2304*r\/5 + 1125. Factor n(z).\nAnswer: -2*(z + 24)**2*(35*z + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -112*c = -124*c - 6300. Let g = 731 + c. What is the hundreds digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(w) = -2*w**3 + 2*w**2 + w - 4. Calculate the remainder when 142 is divided by u(-2).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -20 + ((-37)\/(-6) - 350\/(-420)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Put 4, 1, 182 in decreasing order.\nAnswer: 182, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let d(k) = -10*k**2 - 6*k - 6. Let x(h) = -22*h**2 - 13*h - 13. Let o(t) = 13*d(t) - 6*x(t). Let i(c) = 138*c**2 - c. Determine i(o(z)).\nAnswer: 552*z**4 - 2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-1)\/2*(-7 - -5). Let o be u\/(-4) - 5\/(-20). Suppose 5*z + 17 = -2*a, 2*a - 2*z = -1 + 19. Solve 2*d + 0*d - 2*t = a, -t + 1 = o for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine t so that 2*t**4 + 758*t**3 + 206*t**2 - 489558*t + 488592 = 0.\nAnswer: -377, -27, 1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let s(h) = h + 11. Let c be ((-324)\/10)\/(12\/(-30)). Let u = -88 + c. Let z be s(u). Solve 5*f = 20, -4*t = -5*t + z*f - 19 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (4 + -1 - (-6 - -11)) + 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {m: 4, s: 6}. Give prob of picking 1 m and 1 s.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -37*f + 40*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: -1 - (-1 + -2) - (11 + -27 + 10)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o(n) = n**2 - n. Let r(b) = -b**2 + 6*b - 2. Determine -2*o(z) - r(z).\nAnswer: -z**2 - 4*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 304478 is divided by 76110?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let f = 3\/1849 - -1777\/44376. Which is the biggest value? (a) -5 (b) f (c) -0.5 (d) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 30 and 680394.\nAnswer: 3401970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand (6 + 8 - 4 + 2)*(17 - 10*h**2 + 11*h**2 + 59).\nAnswer: 12*h**2 + 912","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 651126 and 78.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*q - 2*d = 2, 6 = -7*q + 3*q + 2*d. Sort -2, 3, q in descending order.\nAnswer: 3, q, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -6*(3 + sqrt(3)) + (sqrt(3) - (sqrt(147)*-4)**2).\nAnswer: -2370 - 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let j(w) = 3074*w**3 - 5*w**2 - 5*w - 7. Let n be j(8). Suppose 0 = 2*c + n + 186479. Round c to the nearest 100000.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence pocs when four letters picked without replacement from {c: 2, s: 1, p: 2, i: 1, o: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let i(v) = -v**3 + v**2. Let s be 1\/4 - 51\/12. Let w = s + 6. Give i(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*f - 2*f = -24. Let i(j) = -j**2 - 3*j + 3. Let d(m) = -3*m**2 - 8*m + 8. Determine f*d(q) - 11*i(q).\nAnswer: -q**2 + q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let t = -8.398 - -10.398. Put 1\/16, 4, t, -2, -1\/3 in decreasing order.\nAnswer: 4, t, 1\/16, -1\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 7380 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let l(w) = w**2 + 409*w - 36903. What is l(76)?\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((g**(-1)\/(g\/g**5*g))\/(g\/((g*g**1)\/g))**(23\/4))\/((g*g*g**0*g*g)\/(g*g**(-3)))**(-1\/9) assuming g is positive.\nAnswer: g**(8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 11021122202211 (base 3) in base 16?\nAnswer: 22bc94","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 1176 and 371224?\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1537? (a) 5 (b) 5\/4 (c) -2 (d) -47\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((n**(-1\/3))**(-22)\/(n\/n**(-6)*n**(7\/4)*n))\/((n\/((n*n**(-3))\/n)*n*n*n\/n**(-1\/7))\/(n**(-2\/19)\/n*n**(3\/2))) assuming n is positive.\nAnswer: n**(-14627\/1596)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 9404 is divided by 448.\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1277 = 6*k - 835. Let h be 1\/2 + 6 + (-27)\/(-6). What is the greatest common factor of k and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.2045 to 2 dps.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1986 is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence fcfz when four letters picked without replacement from {x: 3, f: 11, c: 1, z: 5}.\nAnswer: 55\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 11*x - 4*x - 9*x - 8*x**2 - 79 + 10*x**2 to k + u*x + z*x**2 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from xhtqmmxh. What is prob of sequence qxmx?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let b = 38 - 21. Let r = -9 + b. Is r + -4 + 9*1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -1912, 0, 1639, -0.04, 7.\nAnswer: -1912, -0.04, 0, 7, 1639","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let w(u) = 79*u - 153. Let j(b) = -b + 8. What is the remainder when w(2) is divided by j(7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 155 and 2?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let o(n) = n**2 - 27*n - 9. What is o(26)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -w**3 - 699*w + 2*w**2 - 1 - 2*w**2 + 703*w to the form c*w**2 + k*w + f*w**3 + o and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -101\/60 and (-1 - 44289\/(-41418)) + (-8)\/(-52)?\nAnswer: 3540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*m = -5*m - 48. Let l(n) = 2*n**2 - 21*n - 14. What is the smallest common multiple of 2 and l(m)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -3 + -1. Put i, 3, 2 in increasing order.\nAnswer: i, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -25.6 - 31. Let r = d - -56.5906. What is r rounded to four decimal places?\nAnswer: -0.0094","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*j + 334 = -226. Calculate the remainder when j is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(w) = -w**3 + 7*w**2 - 5*w - 6. Let a be h(6). Let f = 72 - 71.5. What is the third smallest value in f, -0.05, a?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(d) = d + 1. Let p(c) = -c - 7. Suppose -4*x + 1 = 5*w, x = 3*w - 5*w - 2. Let r be p(w). Let k be l(r). Let m(i) = -i**3 - 4*i**2 - i + 4. Determine m(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 53 + -53.3. Which is the closest to 0.1? (a) -1\/5 (b) -3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be 36\/(-10) + 2\/(-5). Let b(w) be the first derivative of -1\/4*w**4 + 5*w - w**3 + 5\/2*w**2 - 10. Determine b(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(288) - -4*sqrt(128)) + -4 + (sqrt(4)\/(sqrt(2)*2 + sqrt(2)) - sqrt(16)\/sqrt(8)*-5)*-3)**2.\nAnswer: -224*sqrt(2) + 1584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let i(b) = b - 6. Let d be 0 - (3\/3 - 45). Let o be 33\/d - 1\/(-4). Let h(l) = 0 - 2 - 1 + 2. Calculate o*i(j) - 5*h(j).\nAnswer: j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 4 a factor of 1648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:42 PM and 1:27 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 133726.\nAnswer: 2, 66863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let t be (12\/30)\/((-4)\/(-10)). Let r be (-3 + -2)\/(t*-1). Suppose -r*p = v - 22 - 6, p = -5*v + 92. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 73\/135 and 102401\/2652 + -22 - 16?\nAnswer: 9180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 57 = 3*j + 7*s, -17*s - 1 = j - 18*s for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate -7 + 6 + -4 + -1 + -18 + 12.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 19214291 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -28*w - 36*w - 181 = -5*y - 68*w, -4*y - 4*w + 180 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} {"text":"Question: Convert 15 (base 13) to base 11.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 v and 2 b when three letters picked without replacement from vbvvvvvvvbv?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let i(n) = -26*n**4 - 30*n**3 + 10*n**2 - 14*n - 14. Let y(z) = -5*z**4 - 6*z**3 + 2*z**2 - 3*z - 3. Let a(u) = -3*i(u) + 14*y(u). Find s such that a(s) = 0.\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(l) = 54*l**3 - 719*l**2 + 206*l + 15. What is a(13)?\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let b(l) = l**2 + 6*l - 6. Let s be b(-7). Let m be (-474)\/(-2) + -3 - s. Suppose -2*w = -3*p + 40 + 189, 3*p = 4*w + m. What is p rounded to the nearest 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0? (a) -1\/1829 (b) 2 (c) 0.1 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is next in -1418, -863, -308, 247?\nAnswer: 802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 322961727 a multiple of 3853?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, -2403, -14.\nAnswer: -2403, -14, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -p + 5*x - 9 = 0, -p + x + 1 = 2. Let m be 3 - (-3 + (-153)\/p). What is the second derivative of 58*t**2 - 7*t + 83*t**2 - m*t**2 wrt t?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ass when three letters picked without replacement from {a: 1, f: 1, s: 1, k: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 10627096 to the nearest integer?\nAnswer: 3260","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4 + (5 - (3 + 0)) - -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q(r) be the third derivative of r**6\/600 - r**4\/40 + r**3\/15 + 29*r**2 + 1. Determine l, given that q(l) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 802 and 72708518.\nAnswer: 802","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 39 minutes after 5:05 AM?\nAnswer: 5:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Sort -9815, 1\/10, 3\/7 in descending order.\nAnswer: 3\/7, 1\/10, -9815","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -1323643*a + 5*z + 110 = -1323647*a, 2*z = -3*a - 86 for a.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-26)\/(-7) - 6\/(-21). Let v be (-234)\/(-65) + m\/10. Let n(b) = b**3 - 4*b**2 - 2. Determine n(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 54 and 77316.\nAnswer: 695844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is ((-4)\/(-8) + -2)\/(2\/(-4))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let b(o) = 5*o**2 - 6*o + 6. Let j(n) = -n**2 + n - 1. Suppose -2*u - 12 = h, -h - 4*h + 2*u = 0. Let m be ((0 - -1) + h)\/1. Calculate m*b(y) - 6*j(y).\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 874 + 869 - 2606 + 863 + 2*u.\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 4109309903 to the nearest integer?\nAnswer: 1602","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 58811 or 58802?\nAnswer: 58802","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let j = -16 - -16.5. What is the closest to 0 in 4, 1, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -16902.4258 - -16900. Round r to zero decimal places.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(r) be the third derivative of 17*r**6\/40 - 103*r**3\/6 - 89*r**2. What is the derivative of h(a) wrt a?\nAnswer: 153*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (44\/77)\/(5256\/125706).\nAnswer: 41\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let y(j) = -27*j**3 + 4*j**2 - 8*j + 4. Calculate y(1).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let v = -8.675 - -8.875. Which is the third smallest value? (a) 1\/7 (b) 14 (c) v (d) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1\/12? (a) 1\/3 (b) -0.3 (c) 2 (d) -3\/5 (e) -10 (f) 32.867\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 868274?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let j(d) = -2*d - 65. Give j(-30).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -1399.208 and -3?\nAnswer: 1396.208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n**8\/n*n*n**(-8\/7)*n**(1\/21)\/((n*n*n**(-2\/19))\/n))**(-2\/13) assuming n is positive.\nAnswer: n**(-4796\/5187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let f = 51\/2 - 26. What is the third biggest value in f, 3\/4, 3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(i) = -2*i - 1. Let h be a(-2). Suppose -2*y - h*y = -90. Let u = 35 - y. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -6 + (-2 - -2) + 1 - 5?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 2867 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -933, -936, -941, -948, -957, -968, -981?\n\"Answer: -m**2 - 932","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let m(f) = 10*f**3 - 4*f**2 + 2*f + 2. Let u be m(2). Suppose -44 + u = -r. Suppose -130 = 7*d + 45. Which is smaller: d or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 9731 + -8721. Is l a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -35, -363, -1, 2, -5 in descending order.\nAnswer: 2, -1, -5, -35, -363","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*i = 10*d - 13*d + 4, 0 = 3*d. Solve 3*a + 4*o - 12 = 0, a - 5 = 5*o - i for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: -35 times 0.103\nAnswer: -3.605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -21*t**3 - 30*t**3 - 23*t**3 + 80*t**3.\nAnswer: 6*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -11110100110100110 - 1000101?\nAnswer: -11110100111101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*w = -4*h - 4, 4*w - h - 12 = 31. Suppose -w*r - 5*r = 5712. Let a = -186 - r. List the prime factors of a.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 22 divided by 1132732?\nAnswer: 11\/566366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let t = 132.3 + -131. Suppose 0*d + 5 = -5*d. Which is smaller: d or t?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.082544 times -22?\nAnswer: -1.815968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 85848531 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Round 36097.9837 to the nearest 100.\nAnswer: 36100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 1 = -2*z + 3*f, -532*f = z - 528*f + 6 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Convert -22130 (base 7) to base 4.\nAnswer: -1112312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Put 16, -2\/33, 2, 4, 45, -0.4 in decreasing order.\nAnswer: 45, 16, 4, 2, -2\/33, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:06 AM and 11:13 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 31894233?\nAnswer: 3, 7, 1518773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -53 or -57?\nAnswer: -57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:48 AM and 10:46 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify a**(1\/8)*(a*a\/(a**(2\/9)*a*a))\/a*(a\/a**10*a)\/(a*a**(4\/5)*a) assuming a is positive.\nAnswer: a**(-4283\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 3171 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let x(m) = 7*m**2 - 5*m + 7. Let f(a) = 12*a**2 - 9*a + 14. What is 4*f(r) - 7*x(r)?\nAnswer: -r**2 - r + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(57)\/(sqrt(75) - (sqrt(75) + sqrt(75) + sqrt(75) + sqrt(75) + sqrt(75)*1)) + sqrt(133)\/(sqrt(112) - (-2*sqrt(112) - sqrt(112))).\nAnswer: sqrt(19)\/80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = c + 4 - 1, -3*h - c + 1797 = 0. Suppose -52*q + 44*q = h. Let j = 2629 + q. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -t - 23 = -5*d, -3*d = -11 - 4 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (15\/(-6))\/((-42)\/168).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 720900781 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 5 times -350744.62?\nAnswer: -1753723.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve -40 = 13*f + 12 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose n + 2*n + 3 = 0. Let j = 2887.4 - 2886.9. Suppose 6 + 0 = -3*h. Which is the third biggest value? (a) h (b) j (c) n (d) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be (4 - (-10)\/(-6))\/((-1)\/(-54)). Let t be i\/(-35)*(-10)\/6. Solve 0*d + t = 2*d, 5*c - 4 = -3*d for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 1.7 + -2. Let i = 0.8 - -4.2. Suppose 527 = 893*p - 366. What is the fourth smallest value in -0.4, c, i, p?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 239 divide 22917?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 104360081 and 427.\nAnswer: 427","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 7178886?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5 + 4 - 9)*(0 + 3 - 2)*(-37*p + 16*p + 12*p).\nAnswer: 90*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let d(k) = k - 6. Let u be d(3). Let n be (-3)\/(u\/21*-1). Let x be (-2)\/18 - 7\/n. What is the biggest value in 0.4, 3, x?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 528 minutes after 12:06 PM?\nAnswer: 8:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in -0.4, -0.1, -0.52, -34\/5, 1, -0.01?\nAnswer: -0.52","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from jccdj. Give prob of sequence djj.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 13*f + 323 - 117 - 6*f + 14*f.\nAnswer: 21*f + 206","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-1 + 0 - -1)\/(-1). Let w(d) = 7 + 4*d - 5*d + r*d. What is the units digit of w(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {b: 2, x: 4, v: 11, d: 2}. Give prob of picking 1 v and 1 b.\nAnswer: 22\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((i*i**1*i)\/i)\/(i**(-2)\/i))\/((i\/i**(-1))\/i)**(-10\/11))**(-18) assuming i is positive.\nAnswer: i**(-1170\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 35*i**4*u**2 - 903438*i*u**3 + 53654*u**3 + 1110*u wrt i?\nAnswer: 140*i**3*u**2 - 903438*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = m - 2*m + 175. Calculate the remainder when m is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 224 and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 22? (a) 3 (b) 0.2 (c) -21.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let g(y) = 2*y**3 - y**2 - 2*y. Suppose -6 = -3*r - 3*o - 0, 2*r - 2*o = 12. Let v(u) = 461*u - r*u**2 + 4*u**2 - 459*u - u**3. What is 2*g(f) + 3*v(f)?\nAnswer: f**3 - 2*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 38275 is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*j - 9 = -5*j. Suppose 2*r + 14 = 6*z - 4*z, -3*r - 5 = z. What is the smallest common multiple of j and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -257*b + 258*b + x - 1, 4*x + 8 = 2*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((c\/(c\/c**(2\/11)))\/c*c**0)\/(c**0\/c*c**7) assuming c is positive.\nAnswer: c**(-75\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 42*u + 41*u + 163328 = 94*u. Is u a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*k**2 + 3547490*k + 629234265005 = 0 for k.\nAnswer: -354749","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from subbsfuwffwbfy. Give prob of sequence fb.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-271)\/3 + 12\/(-18). Let m = w + 111. Calculate the remainder when 56 is divided by m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -2 - -8. Let c = -324 - -326. Sort d, c, 0, -4 in descending order.\nAnswer: d, c, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -53*x - 26 = -11*q - 58*x, -2*x = -4*q - 2 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -168\/139 or -1?\nAnswer: -168\/139","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -111\/636244 and -31\/68.\nAnswer: 10816148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is x in -686\/11*x**4 + 588\/11*x**3 + 16\/11*x - 168\/11*x**2 + 0 = 0?\nAnswer: 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence hhdh when four letters picked without replacement from {y: 12, d: 2, h: 3}?\nAnswer: 1\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let x(l) = 332*l**2 + 6*l. Let p(s) = s. Let f(a) = -6*p(a) + x(a). Let o(i) be the first derivative of 2*i**3\/3 - 34771. Determine o(f(k)).\nAnswer: 220448*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (1974\/(-21056))\/(1\/(-2) + -1)?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 8 - 7. Suppose -2*r - 6 = -5*r. What is the third smallest value in r, 0, o?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 682 minutes before 7:14 PM?\nAnswer: 7:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, 5037, 2, 1, 4 in decreasing order.\nAnswer: 5037, 4, 2, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {k: 4, u: 2}. Give prob of sequence ku.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*d - 7*d + 340 = 0. What is the tens digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -747160 to the nearest 10000.\nAnswer: -750000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*t - 6 = -3 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 3378171000 a multiple of 345?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Determine q so that -1\/6 - q**2 + 2\/3*q**3 - 1\/6*q**4 + 2\/3*q = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2 - -3 - (47 - 46)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b = 6 + 0. Suppose b*l - l = 25. Find the second derivative of 17*h**2 - 10*h**2 + h - l*h**2 wrt h.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 4532 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let b = 117 - -294. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract -0.11 from -5386000586.\nAnswer: -5386000585.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((s\/(s\/(s*s\/((s\/(s\/(s*s*(s*s*s\/(s**0*s)*s*s)\/s)))\/s))))\/s**6)\/(s**(1\/9)\/(s\/(s*s**(-5)))) assuming s is positive.\nAnswer: s**(-28\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10*o = 11*o - 54. Calculate the smallest common multiple of o and 126.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be 2\/4 + 30\/12. Suppose -f*q - 2 = 1. What is the nearest to -0.2 in q, -4\/9, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 69 (base 10) to base 13.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -37.22378 minus -0.1663?\nAnswer: -37.05748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 5726017 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand 3 + 2*g - 3 + (-3 + 2 - 1)*(-3*g - 2*g + 3*g) + 8*g + 4*g + 0*g + (-2 + 4 - 1)*(g + 3*g - 2*g) + 2*g + 0*g + 0*g.\nAnswer: 22*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let f = -1.2 - 6. Let n = f + 7. Let w = -0.1 - -4.1. What is the closest to -2 in n, w, 3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 122968358?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 6089 is divided by 3028?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -k = 2*w + 2, 0 = -3*k - k - 5*w - 5. Solve z + 6 - 3 = k for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 359484553 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: 11 - (-57 + 49 - (-2 + 3) - -51)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5769 + 5622 - 11391 + 2*k.\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 88 minutes after 10:53 AM?\nAnswer: 12:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 6 - 5 - (0 + 2) - -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -9600*y = -9654*y + 2268 for y.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:07 PM and 12:24 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 9*y**3 - 4*y**3 - 13*y**3.\nAnswer: -8*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let b(a) = 5*a. Let h(s) = -105634*s**2. Determine h(b(l)).\nAnswer: -2640850*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1030*v**2 - 337*v**2 - 339*v**2 - 354*v**2 + 367*v**3.\nAnswer: 367*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1265067?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 2792133, 2792167, 2792203, 2792241, 2792281, 2792323?\nAnswer: 2792367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 25 and 2575.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*u = 3*p - 61, p - 2*u = -6*u + 25. Let o = 482 - 482. Let r = p - o. Is r a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -181862901 - -2410.3.\nAnswer: -181860490.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let t be ((-1)\/(-14))\/((-52)\/(-91)). Let k(g) be the second derivative of 1\/12*g**3 + 0*g**2 + 1\/60*g**6 + 3\/40*g**5 + 7*g + 0 + t*g**4. Factor k(v).\nAnswer: v*(v + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Put together 8.2934854 and 0.5.\nAnswer: 8.7934854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -292 = -308*o + 399 + 233. Which is the nearest to 2\/7? (a) 6 (b) -0.237 (c) -4 (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {z: 4, k: 10}. Give prob of sequence zzkk.\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 2508940 and 483?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Round -1.069265885 to 4 dps.\nAnswer: -1.0693","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*p**3\/7 + 201998*p**2\/7 - 1211934*p\/7 + 1817874\/7.\nAnswer: -2*(p - 100993)*(p - 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(72) - -1*sqrt(72)*-6)\/(sqrt(972) + 2*sqrt(972)))\/((-3*sqrt(6))\/sqrt(3) + (sqrt(288)*-4 + sqrt(2) - sqrt(2))).\nAnswer: 5*sqrt(3)\/1377","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Convert 35656 (base 14) to base 16.\nAnswer: 1fcac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 397?\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let s = 4284 - 4286. Let o(p) = -2*p**2 + p. Give o(s).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*l = -5*h - 0*h + 62, -2*h = l - 26. Solve 4*v = -p - h, -4*v = 3*p + 16 + 2 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 398542 is divided by 1129.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-6)\/(-2)*(-5 + (-1 - -5)). Let i = 1.29 + -1.3. Which is the closest to t? (a) i (b) 4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + 2*(sqrt(27)\/(sqrt(9)*-1)*-2 + -1 + ((sqrt(24)\/sqrt(2))\/sqrt(4))**2).\nAnswer: -1 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Convert 241 (base 9) to base 14.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 265 minutes before 6:46 AM?\nAnswer: 2:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let p(n) = -n**3 - 5*n**2 + 4*n - 5. List the prime factors of p(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 771*s**3 - 2*s**2 + 11890 with respect to s.\nAnswer: 2313*s**2 - 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -63, -55, -33, 9, 77?\n\"Answer: p**3 + p**2 - 2*p - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let o = 2 - 0. Let m = -94 + 95. What is the biggest value in m, o, 0.5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 7936265 to the power of 1\/4, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 23 a factor of 299?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*f**3 - 983 + 3*f**3 + 990.\nAnswer: 6*f**3 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2\/11? (a) -1\/8 (b) -1 (c) 18 (d) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-40)\/(-1560)*52*78\/(-8).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*c + 104 = -3*d, -93*d - 3*c = -15*d - 75*d + 114 for d.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in u - 636 + 1353 - 701.\nAnswer: u + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 200757824 to the power of 1\/2, to the nearest integer?\nAnswer: 14169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let t = 60\/31 + -1032\/341. Let y be -2 + (4\/2 - 1). Which is bigger: y or t?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/20 of a day in minutes?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*z + 1668 = -2800. Suppose -25 = -5*i, 2*p = 6*p + i - z. List the prime factors of p.\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(g) be the second derivative of g**6\/60 - g**5\/15 + g**4\/12 + g**2\/2 + g. Let b(h) be the first derivative of s(h). Factor b(l).\nAnswer: 2*l*(l - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.04, 2\/3, -38, 1\/3 in descending order.\nAnswer: 2\/3, 1\/3, 0.04, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: 40072296 divided by 110392\nAnswer: 363","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let z be ((-1)\/2)\/((-11)\/44). What is the units digit of z + 2\/4 + 318\/12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:33 AM and 1:46 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is a92a4 (base 16) in base 14?\nAnswer: 14072c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (6*q - q - 3*q)*(0 + 1 + 0)*(-1 + 1 + 19).\nAnswer: 38*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let x(l) = 2 - 5*l + 4*l**3 + 7 - 1. Let u(v) be the first derivative of -v**4\/4 + v**2\/2 - v - 17. Give -5*u(j) - x(j).\nAnswer: j**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1159 - 1159 - 13*a**2.\nAnswer: -13*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let o(n) = -2*n**2. Let v(g) = -g**2 + 30243697*g. Give v(o(a)).\nAnswer: -4*a**4 - 60487394*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let t(x) = -x**2 - 123*x + 4321. What is t(26)?\nAnswer: 447","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 7? (a) -2.53 (b) -3 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 299*k - 613*k + 193*k + 9177 = -254*k for k.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 3699 (base 14) in base 12?\nAnswer: 5633","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -604488 (base 11) in base 14?\nAnswer: -1b4438","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k be -45*(-13 + (-912)\/(-72)). Let x = 3 - 3.4. Let f = x + -1.6. Is f greater than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 9586, 19303, 29284, 39667, 50590, 62191, 74608?\n\"Answer: 23*r**3 - 6*r**2 + 9574*r - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u*u**17*u**(-1\/10))**(-48) assuming u is positive.\nAnswer: u**(-4296\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*n = -n - 5. Sort -1, -4, n.\nAnswer: -4, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 317705 is divided by 63537.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let z = 4.2 - 8.2. Let n be (-1)\/14*1*4. Let q = n - -17\/35. What is the nearest to q in 3\/8, z, -0.1?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-21*x + 9*x - 10*x)*(0 - 2*x + 0) + (x**2 - 4*x**2 + 5*x**2)*(-3 - 1 + 5) + x**2 + 2*x**2 - x**2.\nAnswer: 48*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let w be ((1 + -45)\/(-2))\/((675\/30)\/45). Solve -45*f = -w*f - 6 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 481*r**3 - 3*r - 500*r**3 + 2*r**2 + 15*r**3 - 2*r**2.\nAnswer: -4*r**3 - 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let h = -19242 - -19680. Calculate the least common multiple of 5548 and h.\nAnswer: 16644","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 42438 (base 9) to base 16.\nAnswer: 6d9d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g(b) = 91*b + 222. Let y be g(-2). What is the greatest common factor of 175 and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence xv when two letters picked without replacement from vxvvvbb.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 3 divided by -2225?\nAnswer: -3\/2225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -14.3? (a) -11 (b) -2\/11 (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let b(h) = -h**2 + 42*h - 16*h - 24*h. Let r(n) = -73*n**4 - 11*n**2 + 4*n + 3. Let s(z) = 2*b(z) - r(z). What is the third derivative of s(j) wrt j?\nAnswer: 1752*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -2*(142\/(-20) + (-72)\/(-120))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -1607 + 3176. Let d = -1568.999321 + s. What is d rounded to 5 decimal places?\nAnswer: 0.00068","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(x) = 294*x**2 - 41*x - 16. Let g be c(6). List the prime factors of g\/26 + -2*3.\nAnswer: 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (2 - 2 + l)*(25 - 5 + 5) in the form t*l + u and give t.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is -13 + 0 + -365 + 385?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 418 minutes before 2:50 AM?\nAnswer: 7:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let m(o) = -o - 1. Let b(h) = 3*h + 6. Let d be (-450)\/(-315) + 4\/28*-3. Calculate d*b(y) + 4*m(y).\nAnswer: -y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from wwswjwwwwww. What is prob of picking 1 j and 1 w?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 1871560 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 556 minutes before 6:55 PM?\nAnswer: 9:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose t**4\/2 - 161*t**3 - 5280*t**2 = 0. What is t?\nAnswer: -30, 0, 352","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 582 and 33.\nAnswer: 6402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -325 and -52551116629?\nAnswer: 52551116304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence joo when three letters picked without replacement from {j: 2, o: 4, e: 3, d: 2}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let v(z) = -z**2 + 8*z + 8. Let m be v(10). Let i = m - -14. Suppose -i*d = -41 - 31. Is d a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1 + 33 + (-289 - -204)?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 256433 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let n(b) = -b**2. Let d(u) = -190342*u + 3 + 190270*u + 1. Give d(n(f)).\nAnswer: 72*f**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:17 PM and 10:23 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let y(z) = 1551*z - 4870. Give y(3).\nAnswer: -217","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let h = 269 + 1598. Let q = h + -948. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(a) = -4 + 3*a + 2*a - 6*a. Let o be c(-8). Solve 0 = -3*x - 3*b + 4*b, -o*b = -2*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 10 a factor of 63615?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((o*o**(-1\/3))\/(o\/o**(2\/25))*(o\/(o*o**(2\/11)\/o))**(7\/5))**18 assuming o is positive.\nAnswer: o**(4416\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let m(g) = g**3 - 17*g**2 + 35*g + 2. Let s be m(8). Let u = -292 - s. Solve 5*w - 4*l - 9 = 0, u*w + 0 = 3*l + 5 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -149*h = -186*h + 37. Does h = -10\/71?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 140 = 5*y - 4*h + 132, 5*h = -y + 19 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -186185 in -0.12, 0, -2.6?\nAnswer: -2.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let w = -12 + 36. Suppose 0*o = 3*o - w. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(x) = x. Let c(u) = 4*u**2 - u. Let r(j) = -3840*j**2 + 480*j. Let g(m) = 480*c(m) + r(m). Determine g(z(s)).\nAnswer: -1920*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -5623*x - 923 = 10323 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -211, -841, -1891, -3361, -5251, -7561, -10291?\n\"Answer: -210*a**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 112, 256, 436, 652?\nAnswer: 904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 17447 is divided by 50?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -60*p - 51*p + 167055 = -68*p. Calculate the highest common factor of p and 70.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 24629\/44 - -4 - 1\/(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be 6\/(-44)*(6 + 70\/(-15)). Let z = -10 - -15. Which is the biggest value? (a) z (b) 0.2 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(i) = 2464*i. Let q(o) be the second derivative of o**4\/6 + 4679*o. Determine q(y(u)).\nAnswer: 12142592*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let k be 14\/(-4)*83\/(-1162). Sort -1\/4, k, -5\/6, 4, -3.\nAnswer: -3, -5\/6, -1\/4, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3884.4089 rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let j(i) be the first derivative of 2141*i**4\/2 - 92*i**3\/3 + 19*i**2\/2 + 3862. Find the third derivative of j(l) wrt l.\nAnswer: 25692","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(z) = 13*z**2 - 32*z + 7. What is m(2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*i + 29987 + 13594 = -3*d, 5*d - 5*i = -72595. Is d smaller than -14514?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(z) = z**3 + z**2 + z + 1. Let u(v) = 7*v**3 + 14*v**2 + 14*v + 6. Let k = -25 - -19. Let r(c) = k*s(c) + u(c). Let i = -23 + 16. Give r(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 21965 is divided by 3795.\nAnswer: 2990","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let p = 187\/3 - 63. Let b be 4 + 0 + 1274\/(-343). Put p, -2, 23, b in decreasing order.\nAnswer: 23, b, p, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*x + 7*g - 182 = 6*g, -g + 146 = 4*x. Calculate the greatest common divisor of x and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(i) = -13*i**3 - 2*i**2 - 1. Let b(f) = 131*f**3 + 22*f**2 - f - 42. Let l(c) = b(c) + 10*s(c). Calculate l(0).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) 14 (b) 47 (c) -0.1 (d) -1\/2 (e) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: ((-2)\/(-8))\/((-2)\/(2\/(-1)))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 5246 to the power of 1\/2, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let i = -38.72 - -38. Let u = i - -0.22. What is the closest to 2\/3 in u, 0.4, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 12918 - 704*t - 25842 + 12924.\nAnswer: -704*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-4)\/(-2) - (-111)\/(-3). Let w = -66 - o. Let h = w + 33. Solve h*f + 3*f = 25 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 0.3487934 - 0.35233. Let v = 9.9964934 - x. Let w = 10 - v. What is w rounded to 4 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-17864)\/16)\/(-203) + (-302)\/(-4)\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) = 2*q**3 + 195*q**2 - 166*q + 94. What is the hundreds digit of f(-97)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 7130 + 6?\nAnswer: 7136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence jjhd when four letters picked without replacement from {d: 1, j: 3, h: 2, f: 1}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve k - 6 + 14 = 2*x, 0 = -3*k - 6 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1 = 5*g - 16. Suppose -22 = -5*r - g*j, -2*r + 8 = 4*j - 12. Solve d = -0*d - r for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 66488681 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3*(0 + (-5 + 2 + sqrt(882) + sqrt(882) + -5 + sqrt(882) + sqrt(882))*-2)**2*-2.\nAnswer: -32256*sqrt(2) + 340224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Express (7*l**2 - 11*l**2 - 18*l**2)*(-2954*l + 1479*l - 26*l**2 + 1478*l) as h + t*l**2 + q*l + u*l**4 + y*l**3 and give y.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.1 in 2\/5, 4\/89, -4\/3, 5, -8\/9?\nAnswer: 4\/89","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let v = 0 - -3. Does 13 divide (-1)\/(40\/(-13) + v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 6 divide 385488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -40.4113278 rounded to the nearest integer?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 137 a factor of 1651000015?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -2 + -2 + (4 - -4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 i, 1 z, and 2 q when four letters picked without replacement from bzqiqz?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 11\/4 of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -39\/28 and 11\/18504.\nAnswer: 129528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*q - 4*y + 452 = 9*q, -4*q - 5*y = -367. Calculate the remainder when 427 is divided by q.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be 4\/(-5) + (-216)\/(-45). Let r(a) = 10. Let p(c) = -c**3 - 10. Let o(z) = f*r(z) + 5*p(z). What is the derivative of o(v) wrt v?\nAnswer: -15*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 260*q**3 - 1146*q**3 - 195*q**3 + (-2*q**2 + 2*q**2 - 2*q**2)*(4 - 4 + q).\nAnswer: -1083*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) -3 (b) 2 (c) -18 (d) 5 (e) 2\/17 (f) 335\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2\/7 in -11, -6, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate 7 divided by 10332.\nAnswer: 1\/1476","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is next in -23653, -38813, -53973, -69133?\nAnswer: -84293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let h = 36 - -21. Let u be 5\/(-3 + h\/18). Solve -3*m = 4*n - 7*n + u, 0 = -2*n - 4*m - 10 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 110305, 220569, 330833?\nAnswer: 441097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 467729*p**4 + 744642 wrt p?\nAnswer: 1870916*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -1298, -2903, -4506, -6107?\n\"Answer: u**2 - 1608*u + 309","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 23632 is divided by 7860.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10*k + 7 = 3*k. Let q = 15 - k. Let g = q - -10. Calculate the remainder when g is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2062 is divided by 26?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find b such that -3*b**3 - 9228048*b**2 + 184561860*b - 922810800 = 0.\nAnswer: -3076036, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let r(v) = -2*v**2 + 4*v + 1. Let j be r(6). Let f = j + 34. Let y = f - -26. What is the remainder when 49 is divided by y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 18016\/80829 + -6\/8981. Let o = 61\/28 - 17\/7. Which is the third smallest value? (a) o (b) -9 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor a**3\/4 - 7*a**2\/2 + 65*a\/4 - 25.\nAnswer: (a - 5)**2*(a - 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*y - 4*x + 5, -2*y + 20 = 5*x + 8. Let z(a) = a**3 - a**2 - 2. Let v be z(0). List the prime factors of y + 1 + -1 - v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -g**3\/2 - 61*g**2\/2 = 0 for g.\nAnswer: -61, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: (-3)\/6*(-954)\/22419\nAnswer: 1\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1164168, 2328314, 3492470, 4656642, 5820836?\nAnswer: 6985058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 581 minutes after 5:23 PM?\nAnswer: 3:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let h(u) = u**3 + 51*u**2 + 310*u + 71. What is h(-44)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 442 + 1358 = 137*y + 88*y for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -5, 10, 0, 7, 2\/69?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let q(r) = 8*r**2 - 3489*r + 13788. What is q(4)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -24*w + 2375 + 14857 = 0. Let p = -397 + w. Is p a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 12410\/4059 at least as big as 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let c be 51\/255 - ((-112)\/(-10) - 0). Let z be (-21186)\/55*c\/(-2). Let w = 2111 + z. Which is bigger: -8 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 9424 is divided by 66?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let z(o) = -o**3 - 3*o**2 + 2*o - 4. Let v = -24 + 21. Calculate z(v).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 435 + -434.999999196. What is n rounded to seven decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 239 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -805384*b + 805384*b + 2842*b**3 + 2624 with respect to b.\nAnswer: 8526*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 13 - 6. What is the smallest common multiple of (-3)\/(-7) + (-1110)\/(-105) and s?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract -0.77978 from -0.3.\nAnswer: 0.47978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.04 and -9.\nAnswer: 0.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 11883?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((f\/f**(1\/3))**(2\/17))**(-2)*(f**(-1\/2)\/f)**(11\/4)\/((f\/f**2)\/f**(2\/3)) assuming f is positive.\nAnswer: f**(-1067\/408)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let z = 2\/5045 + 499447\/20180. What is the common denominator of z and 61\/36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4*(-1*(-2 + sqrt(931)) + sqrt(931)*2*-3))**2.\nAnswer: -3136*sqrt(19) + 729968","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 393493 is divided by 16257.\nAnswer: 3325","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 178 - 118426?\nAnswer: -118259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand (63 - 28 + 30)*(-3*i + 0 + 0)*(-1 + 3 + 0).\nAnswer: -390*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let u(f) = -f**3 + 10*f**2 - 10*f + 12. What is u(9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 90.77698 millennia in years?\nAnswer: 90776.98","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -1 + -680?\nAnswer: -681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 5*n - 4*y - 11, -3*y - 7 = 5*n - 25 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let v = -24297 - -34870. What is the highest common divisor of v and 97?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = n + 3*j - 50, 5*n + j - 264 = -0*j. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -289436, -578903, -868420, -1158011, -1447700, -1737511, -2027468?\nAnswer: -2317595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*i - l + 101 = 7*i, 0 = i + 4*l - 86. What is the remainder when i is divided by 36?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 2773 (base 12) to base 7.\nAnswer: 16161","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v(z) = -22410 + 22137 + 2*z + z + 5*z + 7*z. Let a be v(23). Which is smaller: a or 74?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 903, 981, 1111, 1293, 1527?\nAnswer: 1813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange x**2 + 1932 + 1930 - 3862 - 3934*x to u + j*x**2 + g*x and give g.\nAnswer: -3934","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: 286 divided by -2\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*d - v = 3*v - 24, 9 = 5*d - 2*v. What is the first derivative of -10 - 4*s**3 - 21*s**3 - 17 - 2*s**d wrt s?\nAnswer: -81*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1 + -3*(-1*sqrt(117) + sqrt(117)) + sqrt(1872)*-2 + 0 + 4)**2.\nAnswer: -240*sqrt(13) + 7513","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Express (2*l - 2*l - l**2)*(-30*l**2 - 3*l**2 + 6*l**2) + 18*l**3 + 12*l**4 - 18*l**3 as w*l**4 + p*l**3 + s + o*l**2 + h*l and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:36 AM and 12:48 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 7603 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 115 and 105685?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is (-14)\/((-980)\/(-63))*((-1624)\/1421)\/(12\/70)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m = 146 + -143. Suppose -12*o + 35 = 5*x - 8*o, o + 4 = m*x. Solve -x*d - 2*d = -10 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 18 + -19. Let i be (-30)\/(-4)*490\/(-45). Let w = i + 1727\/21. Sort b, -0.1, w.\nAnswer: b, -0.1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 72319439 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let t be ((-63)\/45)\/((-1)\/(-2)). Put 0, 1, t, 5 in ascending order.\nAnswer: t, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(r) be the first derivative of 5*r**2\/2 + 6*r - 12. Let f = 49 + -53. Let k be a(f). Which is smaller: -12 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 44, 85, 118, 131, 112?\n\"Answer: -2*x**3 + 8*x**2 + 31*x + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let y be -2 - (7 - 21)\/((-10)\/35). Is 33\/(8 - (-399)\/y) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 1170995 and 669140?\nAnswer: 4683980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let n(x) be the first derivative of -x**4\/28 + 2*x**3\/7 - 5*x**2\/14 - 12*x\/7 - 801. Factor n(i).\nAnswer: -(i - 4)*(i - 3)*(i + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 27 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 4 and 35884.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*t = 4*t - 15. Suppose 0 = -0*c - 5*c + t. Suppose 2*q - 5*j - 4 = 30, -4*q + 104 = -j. What is the greatest common divisor of c and q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve z + 3 + 4 = 3*r, -160*r + 164*r + 3*z - 18 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 4064 or -381.82?\nAnswer: 4064","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate (14 - (-3 - -12)) + 3.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 1 greater than or equal to 4\/9945?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand (-143*j - 439*j - 71*j + 154*j)*(3*j**2 - 3*j**2 - j**2 + 3*j + 2*j**2 - 3*j + (6*j - 3*j - j)*(-4 + 4 + 2*j) + 98*j**2 + 10*j**2 + 77*j**2).\nAnswer: -94810*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*b - 10 = -0*b. Let o(i) = -i**b + 982*i**3 + 1 + 3*i**2 - 4*i - 6 + 8. Is o(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -62 (base 11) in base 7?\nAnswer: -125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14*t = -16245 + 5955. Calculate the remainder when t is divided by 46.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1019087 is divided by 27537?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let t(r) = -r**2 - 474*r + 15694. Suppose -2*l = -3*m + 6 - 227, -l - 4*m + 127 = 0. Calculate the remainder when l is divided by t(31).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*z = -3*o, 2*z - o + 5 = 17 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6 = 5*o - 4*k, -k + 8 = 5*o - 3*k. What is the units digit of (-5 - -3) + 182 + o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -9\/16 and 27\/1876.\nAnswer: 7504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((c**(1\/17)\/(c**(1\/39)\/c*c))\/(c**(-1)*c**7))**(-2\/65) assuming c is positive.\nAnswer: c**(7912\/43095)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 106371195.\nAnswer: 3, 5, 7, 151, 6709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 10 - 8 - (-1 + -1 - 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*g - 692 = -3*g - 700. Solve 19*u - 17 = 22*u - 2*i, g*u - i = -16 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(w) = 6*w + 4. Suppose -6 - 64 = 5*b. Let n be b\/(3 - (-1 - -2)). Let r be (-31)\/n + (-9)\/21. Let p(x) = -5*x - 3. What is r*p(c) + 3*i(c)?\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Work out -34240 * 7.53.\nAnswer: -257827.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-2 - -5)*(1 - 0). Suppose -3*q + 147 = -3*t, -t = j*q + q - 191. Is q a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 130, -62, 1, 5, 2 in descending order.\nAnswer: 130, 5, 2, 1, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let n be 4\/(-18) - 60\/216. Do n and -2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 48 + (-33 - (5 - -7 - 32)).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n(t) be the third derivative of -14*t**5\/15 + t**3\/6 - 121*t**2 + t. Differentiate n(s) wrt s.\nAnswer: -112*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 4802991?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 260 is divided by 133?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -44394611 or -44394608?\nAnswer: -44394608","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let n be 9\/(126\/(-35))*-6. Let o be (n\/(-12) + 1)\/1*0. Suppose 4*f = -2*x - 4 + 28, -2*f - 4*x = -24. Solve o = 2*v - 3*v + f for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many centuries are there in 4602.383 years?\nAnswer: 46.02383","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify 0 + 4 + sqrt(36)\/(sqrt(300) + sqrt(300) + -3*sqrt(300) - sqrt(300)) + 3 + 2.\nAnswer: -sqrt(3)\/10 + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.1? (a) -6 (b) 13 (c) -10 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*t - 2*t - t)*(-2*t**3 + 4*t**4 + 2*t**3) + (-3*t**4 + 4*t**4 + 0*t**4)*(t + 3 - 3).\nAnswer: -11*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let l(w) = 139*w**2 + 9589*w + 635. Give l(-69).\nAnswer: 773","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 177 or 8742\/49?\nAnswer: 8742\/49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is -0.098414 take away -17?\nAnswer: 16.901586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Round -32125481 to the nearest 100000.\nAnswer: -32100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4*((4 + sqrt(171) - (1*(sqrt(19)*1 + sqrt(19)))**2) + sqrt(209)\/(sqrt(891) + 1*sqrt(891))).\nAnswer: -110*sqrt(19)\/9 + 288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from pkkkqkpuppu. What is prob of picking 2 k?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: 3 times -193\nAnswer: -579","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 55763 is divided by 83?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1\/4 or -52?\nAnswer: -52","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -d + 5*g = -25, d = 4*d - 3*g - 15. Suppose d = 3*f + 3*f. Determine u, given that 6 + 6 + f*u - 2*u + 10*u - 4*u**2 = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 6941095 to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -41\/3040 and 31\/18338800.\nAnswer: 36677600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let g(t) be the first derivative of 5*t**2 + 1991. Let k(y) = -2*y + 8*y + y - y. Determine g(k(a)).\nAnswer: 60*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: (4*1\/12)\/(((-1024)\/224)\/32)\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (-100*n + 65*n + 76*n)*(8*n - 6*n + 3*n + 2).\nAnswer: 205*n**2 + 82*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let q be (1 - -9) + (-3 + 2 - (-25 + 29)). Solve 4*j = 5*t + 3*j - 28, 0 = -3*t - q*j for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 1, -4\/9, -0.35, 86, -3\/2, -11, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let w(t) be the second derivative of t**5\/20 + 2*t**4\/3 - t**3\/3 + 7*t**2\/2 + 2*t - 168. Determine w(-8).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(d) = 3*d**2 + 73*d + 33. Determine f(-24).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 17917 or 71667\/4?\nAnswer: 71667\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 9 = 2*k + c, k - 11925*c + 15 = -11924*c for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 17527?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let i be 114\/27 - (-2)\/(-9). Let a = 1 + i. Solve w + 8 = -3*s, -a*w - 1 = -3*w + s for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of -3 + 1 + (-4 - -139)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 4154, 4152, 4150?\n\"Answer: -2*v + 4156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is -1 smaller than -0.713?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let z = -0.0280069 + 0.028. What is z rounded to 6 decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 2, 32, 52, -13 in descending order.\nAnswer: 52, 32, 2, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 64599681.\nAnswer: 3, 21533227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 2.936444 litres?\nAnswer: 2936.444","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of (13 - 27703\/1937)*(-2 + (-171)\/(-84)) and 65\/3278?\nAnswer: 22946","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(x) = -3*x + 15. Let h(y) = 4*y - 22. Suppose 5*d = 5*g, 4*g = -3*d + d + 30. Let t(w) = d*h(w) + 7*z(w). Let l be t(-5). Is l greater than -3\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 179 - 103. Suppose -27*t + 29*t = m. Suppose -2 = 3*s - t. Which is smaller: 2\/3 or s?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -24*i = -29*i + 1040. Let y = i - 117. Let j be 1\/((4\/26)\/2). What is the highest common divisor of j and y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*f = -118 + 682. What is the tens digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7 = -3*u + 5, -2*r + u = 0. Let z(c) = -c**2 - 5*c - c + 2*c + 6*c + c**3. Let i be z(r). Solve i = -2*m + 6*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -1776, -3597, -5454, -7347, -9276, -11241, -13242?\nAnswer: -15279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: (3\/((-12)\/(-8)) - -2) + -7\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 109 a factor of 10838617?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 1508, 5993, 13468, 23933, 37388, 53833?\n\"Answer: 1495*f**2 + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let z = -3512 - -3515. Solve z*q + 0 + 3 = 0, 0 = -2*f - 3*q - 11 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(s) = -1929*s**2 + 70*s. Let b(u) = -1286*u**2 + 50*u. Give -7*b(h) + 5*i(h).\nAnswer: -643*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0 - 2 - 204*w + 3 - 114*w.\nAnswer: -318*w + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 285152 to the power of 1\/2, to the nearest integer?\nAnswer: 534","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 x when three letters picked without replacement from xrxrx?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 583*w = -354487 + 341661 for w.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -11*k - 54 = -10*k + 13*u, 2*u + 12 = -2*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4*0.7082606.\nAnswer: -2.8330424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many milligrams are there in 914674.3 micrograms?\nAnswer: 914.6743","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 31\/5763 and 56\/6591?\nAnswer: 12661311","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -c + 2*f + 57 = 16, 3*f + 219 = 5*c. Suppose -161 = c*j - 38*j. Let r = j - -588. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -1303 (base 10) to base 4.\nAnswer: -110113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*q + 128*d = 130*d + 5, -4*q - 5*d = -9*q - 50 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 15, -2\/3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((3*(sqrt(220) + (sqrt(220) - -5*sqrt(220)*-3)))\/(sqrt(35)\/(sqrt(28)*-1)))**2.\nAnswer: 267696","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from eerwwreyeeweweeyy. Give prob of picking 1 w, 2 e, and 1 r.\nAnswer: 8\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*d + 1 + 19 = 0. Suppose 2*a = d*a - 10. What is the remainder when a is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*a + 1127 = -3*c - 2*c, -15 = 5*a. Let k = 395 + c. Let n = k + -103. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:06 PM and 11:28 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let l(o) = -o + 1. Let t(n) = 10*n - 12. What is -8*l(f) - t(f)?\nAnswer: -2*f + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let n(y) = 3316407*y - 63011735. Determine n(19).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -11130 + -1?\nAnswer: -11131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1\/4? (a) 0.4 (b) -1\/5 (c) -3\/8 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 500598 a multiple of 406?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Convert 2504 (base 7) to base 15.\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Round 60949580 to the nearest one hundred thousand.\nAnswer: 60900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 5002?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 28*b + 2144 = 44*b + 16*b for b.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -3 + -3230200?\nAnswer: -3230203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(180)\/sqrt(4) + 4)*-5.\nAnswer: -15*sqrt(5) - 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 1366332 and 12342.\nAnswer: 726","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 86409948 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let b(q) = -2*q - 44. Let z be b(-19). Let r(i) = i**2 + 11*i + 30. Let v be r(z). Differentiate -6*a**2 - 8*a**2 + v + 2*a**2 + 11 with respect to a.\nAnswer: -24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(j) be the third derivative of j**5\/60 + 3*j**4\/8 + 4*j**3\/3 + 20*j**2. What is the remainder when t(-11) is divided by 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 55 minutes after 7:47 PM?\nAnswer: 8:42 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.1? (a) -4 (b) 2\/15 (c) 10\/2999\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let o(x) = -2*x**3 + 68*x**2 - 524*x - 7. Let z be o(22). Solve 92*v - 83*v = z for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2? (a) -4\/9 (b) -5\/4 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 3909203 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let m(z) = -2*z - 259. What is m(-91)?\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 175 and 867965.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 0.2, 2\/11, 354?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let y(g) = 17*g**3 - 2151*g - 14. Let q(m) = -5*m**3 + 717*m + 4. Determine -14*q(k) - 4*y(k).\nAnswer: 2*k**3 - 1434*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is -58555 divided by 1673?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let f(j) = j**3 + 99*j**2 + 33*j + 875. Is 8 a factor of f(-98)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 726\/198 - 29 - (-75)\/5?\nAnswer: -31\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*i - 9 = -24*z + 21*z, i = -2*z + 6. Is 3\/29 at most as big as i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 25*f**2 - 6*f**2 - f**2.\nAnswer: 18*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 2678646919 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let d = -71 - -73. Suppose -16 = -k + d*v, v - 40 = -3*k + 3*v. What is the remainder when k is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -31*r - 161 = 17*r - 593 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: 10001 (base 2) to base 8\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 5\/8, -1, -8, 1, 0.3, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 9118 and 21146?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Divide 1042872 by -456.\nAnswer: -2287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let t(h) = 6*h**3 - 11*h**2 - 5*h + 9. Let b(o) = o**3 - o**2 + 1. Let y(w) = -3*b(w) + t(w). Suppose y(v) = 0. Calculate v.\nAnswer: -1, 2\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 37 - 77. Let j = -31 - m. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 3*c**4 - 5*c**3 + 5*c**3 + (2*c**2 + 2*c**2 - 5*c**2)*(-3*c + 3*c - 2*c**2).\nAnswer: 5*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let t be -1 - (-3 + -9 - -7). Let x(q) be the first derivative of 0*q + 0*q**t - 8\/5*q**5 + 0*q**3 + 3 + q**2. Find the second derivative of x(i) wrt i.\nAnswer: -96*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(h) = -2*h**3 + 32*h**2 - 23*h - 7. Is w(15) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {s: 2, q: 4, o: 1, a: 1, h: 4, t: 6}. Give prob of picking 1 q and 2 s.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 v and 3 x when four letters picked without replacement from {f: 2, v: 1, x: 4, s: 2, l: 1, y: 2}.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 488 minutes before 8:50 PM?\nAnswer: 12:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -609, -1002, -1415, -1848?\nAnswer: -2301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 653603 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) 2\/5 (b) -1\/28 (c) -0.5 (d) -214 (e) 8\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} {"text":"Question: Rearrange (50*q + 38*q - 33*q)*(-q + q + 4*q)*(2 - 3 + 2) to p*q + o*q**2 + f and give o.\nAnswer: 220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -67, -273, -617, -1099?\nAnswer: -1719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is next in 874, 1408, 1942, 2476?\nAnswer: 3010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: 15*-365\nAnswer: -5475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((j**(-2)\/j**(2\/51))\/(j**(5\/6)\/(j*j**(1\/9)\/j)))**(1\/4) assuming j is positive.\nAnswer: j**(-845\/1224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 1618*v - 3560 = 1262*v for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 158897830*w**6 + 3*w**4 + 1238721286*w**2 wrt w?\nAnswer: 19067739600*w**3 + 72*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -351875*s**4 + 102183*s**2?\nAnswer: -8445000*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, 0, -4, -8, 44.\nAnswer: -8, -4, 0, 2, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -227, -921, -2083, -3719, -5835, -8437, -11531, -15123?\nAnswer: -19219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 9 + 32 + 2 - 12 - 5?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:37 PM and 8:43 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -4658*s**2 + 2944*s**2 + 18055*s**2 to the form v*s + h + i*s**2 and give i.\nAnswer: 16341","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Express n**3 - 3*n**4 + 2*n**4 + 3*n - 52 - 2*n - 2*n**2 + 3*n**4 as f*n + d + m*n**3 + r*n**4 + y*n**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 4? (a) 6\/13 (b) -1\/10 (c) -38 (d) 0.5 (e) -0.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let p(x) be the first derivative of -x**2\/2 + x + 17. Let h(q) = 10*q - 4. Suppose -4*y + 22 = 2*c, y - 8*c - 11 = -3*c. What is y*p(t) + h(t)?\nAnswer: 4*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} {"text":"Question: Let b = 30899.21 - 29536. What is b rounded to the nearest ten?\nAnswer: 1360","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(r) = -r**3 - 11*r**2 + 13*r + 14. Let s be t(-12). Factor 58*z**s + 27*z**2 - 33*z**3 + 27*z**3 + 6 + 7*z - 120*z**2.\nAnswer: -(z + 6)*(2*z - 1)*(3*z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 8\/109 - -77\/436. Let g(d) = d**3 + 5*d**2 - 6*d - 2. Let s be g(-6). What is the nearest to 1 in s, a, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ojjojtvvvwomov. What is prob of sequence ot?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 1 + -10 - (-13)\/((-234)\/(-36))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 v, 2 i, and 1 w when four letters picked without replacement from {w: 2, e: 4, i: 2, v: 5, k: 1}?\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 21967689 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let b(f) = 17*f**2 + 2*f + 2. Let x(u) = u + 22 + 16 + 18*u**2 + 23 - 60 - 9*u**2. Calculate 6*b(o) - 11*x(o).\nAnswer: 3*o**2 + o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 195612*c**6 - 2*c**5 - 2*c**2 - 3*c + 16687?\nAnswer: 23473440*c**3 - 120*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let d = -39 - -65. Suppose -30*s + d*s + 180 = 0. Does 5 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 13*v**2 + 7*v**3 - 11298*v - 33*v**2 + 22*v**2 + 0*v**3.\nAnswer: 7*v**3 + 2*v**2 - 11298*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let i(f) = 1969 - 1969 - 11*f. Let r(o) = o**2 - 6*o**2 + 3*o**2 - 3*o**2. Give i(r(w)).\nAnswer: 55*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 33\/5626 and 69\/406.\nAnswer: 39382","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let q(s) be the second derivative of -5*s**7\/42 - 35*s**6\/6 - 33*s**5\/4 + 175*s**4\/12 + 85*s**3\/3 - 74*s - 4. Let q(v) = 0. What is v?\nAnswer: -34, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 42722?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3*sqrt(121)*4)\/sqrt(11) - ((1*sqrt(44))\/sqrt(4) - (sqrt(132)*1 + sqrt(132) - sqrt(132))\/sqrt(12)).\nAnswer: 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let f(r) = r. Let z be f(-2). Let d = z + 5. Let o(a) = -a**2 - 4*a + 1. Let k be o(-4). Solve -b + k = -0*b - h, -2*h = d*b - 23 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 601, 182, -237, -656, -1075?\nAnswer: -1494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 2385, 2383, 2381, 2379?\nAnswer: 2377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00007966 rounded to 6 decimal places?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0*b**2 - 85*b**3 + 31*b**3 + b**3 + 17*b**2.\nAnswer: -53*b**3 + 17*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 990, 4004, 9028, 16062, 25106, 36160?\n\"Answer: 1005*k**2 - k - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*y = 2*y - 3. Let c be (2 + -1)\/y - -6. Factor -1 - c*p**2 - 2*p + 2*p**2 + 2*p**2.\nAnswer: -(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*m + 7 + 8 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Does 60 divide 247833?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -165 = -30*h - 3*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let t be ((-13)\/2)\/((-1)\/(-17)). Let d = 347\/3 + t. Find the common denominator of -11\/8 and d.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -207.721 - 0.579. Let n = 208 + w. What is the nearest to -1\/4 in n, -10, -5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(s) = 5*s**2 - 7*s - 3. Let o(j) = -11*j**2 + 15*j + 6. Suppose -35 = 9*r + 1. Let y(m) = r*o(m) - 9*a(m). Let w be 5\/1*(3 + -2). Determine y(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(t) be the second derivative of t**5\/45 + 67*t**4\/27 - 92*t**3\/9 + 13427*t. Factor h(g).\nAnswer: 4*g*(g - 2)*(g + 69)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(o) = 662*o**2 - 5966*o + 29. Calculate r(9).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let s(d) be the second derivative of -d**3\/3 - d**2 - 27*d. Let h(n) = n**2 + 11*n + 11. Give 2*h(u) + 11*s(u).\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((q**(-3\/23)*q**4)\/(q**(2\/43)\/q*q*q\/q**(-4\/21)))**(-6) assuming q is positive.\nAnswer: q**(-109352\/6923)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 9 = 2*m - 5*p, -41*m + 40*m - 4*p = 15 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -173325, -346632, -519919, -693186?\n\"Answer: 10*z**2 - 173337*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let a(o) be the third derivative of 2*o**2 + 0*o**5 + 0*o + 0*o**3 + 1\/120*o**6 + 1\/8*o**4 + 0. Let z(f) be the second derivative of a(f). What is z(-1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-1)\/3*333\/148. Let z = -3.4 + 3. What is the second smallest value in c, z, -1\/4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (11 - (-707450)\/20)*(80\/12)\/5?\nAnswer: 2, 3, 2621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -1 - -8. Let w = -4 + p. Suppose 0*v - w*v = -150. Calculate the highest common divisor of v and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, -44, -11, -1, 34, 0 in increasing order.\nAnswer: -44, -11, -1, 0, 3, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let u = -10 - -25. Let s = -341913\/14 + 24430. Calculate the common denominator of s and (194\/10)\/((-276)\/u).\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 4*q**3*t**2 + 5*q**3*t*w - 3*q**3*t - 2*q**3 + 2*q**2*t**2*w - t**2*w wrt w?\nAnswer: 5*q**3*t + 2*q**2*t**2 - t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Round 0.2369229642 to 2 decimal places.\nAnswer: 0.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let t(u) = 9*u**2 - 9*u**2 + 0 + 0 + 4*u**2. Let y(o) = o + 9. Let i be y(-7). Let a(b) = -2*b**i + 3 - 3. What is t(a(w))?\nAnswer: 16*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: -114 times 0.146\nAnswer: -16.644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 162*q - 3*j + 57 = 163*q, -61 = -q + j. Suppose -4*p + 21 = -3. Calculate the least common multiple of p and q.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 798281711 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1100 in -30\/7, 2, 2\/9, -5, 2\/3, -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 11432 is divided by 309.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let g = -26.3812 + 23.68146. Let u = -1.14891 - g. Let y = 1.55 - u. Round y to four dps.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(f) = -4*f + 26. Let p be n(6). Solve 7 = -p*h + 3 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {x: 6, h: 2, f: 1, q: 2, k: 1}. What is prob of sequence fq?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 - 4 + 5)*(-3*h**5 - 4*h**5 + 9*h**5).\nAnswer: -2*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 4*4\/(96\/4).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 3 - ((1 + 3 - 2) + 10).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z(v) = 8*v**2 + 12*v. Let j(g) = -57299511*g + 57299511*g + 19*g**2. What is z(j(n))?\nAnswer: 2888*n**4 + 228*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand 87*q**2 + 97*q**2 - 33*q**2 + (2*q - 3*q - 3*q + q + q - 4*q + (2 - 2 - q)*(-2 + 1 + 3))*(0 + 0 + q).\nAnswer: 143*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Express 0*u + 0*u + u**3 - 5*u**4 + (-3*u**2 + 2*u**2 + 0*u**2)*(6*u**2 - u + u) in the form h + c*u**3 + j*u**2 + p*u + v*u**4 and give v.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate 15\/(-54)*3\/(-5).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2 - 16 - 5*k**2 + 10 to r + j*k + m*k**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let c(p) = -p**2 + 5*p - 5. Let v(y) = y - 2 + 3*y + y - 3*y. Let f(h) = -2*c(h) + 5*v(h). Let t(a) = -a**2. Calculate f(t(g)).\nAnswer: 2*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let s(i) = -4*i - 49. Calculate s(-21).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -28, 161, 708, 1793, 3596?\nAnswer: 6297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from oqoonqqqqqqqoqqonqq. What is prob of picking 2 q?\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 47\/430746 and 63\/36256.\nAnswer: 75811296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -47*j + 217117 = 4*z - 50*j, 3*z = j + 162839. Is 23 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(j) = -2*j. Let w be (-4 - -3)\/(1*-1). Let b(r) = 2*r. Let m be b(w). Let l(s) = -s**m + s - s. Determine l(f(z)).\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: 1d (base 14) to base 3\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 447479 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Divide 6318 by -81.\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: 2 + -2 + 4 + (-1 - -32) + -25\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l = 0.32 + 0.68. Let z = 0.21 + -0.01. Let h = 0.5 - z. What is the closest to 1\/2 in h, l, 3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -15 + 16. Let v = 521 + -7819\/15. Which is smaller: o or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 5 divided by 95304.\nAnswer: 5\/95304","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let o = 67 + -77. Let b be (-14)\/(-35) + (-36)\/o. Suppose -b*j - 5*d = -6*j + 50, -5*j - 3*d = -63. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.1246559 - 10735.55\nAnswer: -10735.4253441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:31 PM and 4:26 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let f = -0.4 - -0.41. Let s = 4\/9 - 10\/9. What is the nearest to s in -4\/7, f, 0.5?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(w) = 4*w**3 - 5*w - 11. Let f be (110\/(-44))\/((-20)\/2)*16. Let k(n) = 2*n**3 - 3*n - 6. What is f*y(p) - 7*k(p)?\nAnswer: 2*p**3 + p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 23232 a multiple of 121?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: 157.9 * -3\nAnswer: -473.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify n**(1\/6)*n**(-1\/10)*(n\/(n\/(n*n**0*n)))\/(n**(-3)*n) assuming n is positive.\nAnswer: n**(61\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is (-2)\/2*0*(-3)\/(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d(o) = 8081*o + 1927. Let m(k) = 2693*k + 652. Let x(a) = 3*d(a) - 10*m(a). Differentiate x(r) with respect to r.\nAnswer: -2687","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 17 - 17. Let r = -14 + 11. Which is the nearest to -0.2? (a) r (b) 2\/7 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -410, -874, -1334, -1790, -2242, -2690, -3134?\nAnswer: -3574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*sqrt(130))\/sqrt(10)*-2 + 5 + 1.\nAnswer: -2*sqrt(13) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand ((0*o + 2*o + 0*o)*(4 - 1 - 4) + (4*o - 2*o + 0*o)*(0 + 4 - 2))*(-213*o - 119*o + 54*o).\nAnswer: -556*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 24923980 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let q(x) be the second derivative of 590*x**4\/3 - x**3\/3 + 1055*x**2\/2 + 76*x + 30. Differentiate q(j) wrt j.\nAnswer: 4720*j - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be -1*(-1 - (-16)\/(-2)). Suppose y*a = 7*a - 6. What is the units digit of ((-1)\/a)\/(2\/222)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1029624, -1029491, -1029352, -1029207, -1029056, -1028899?\nAnswer: -1028736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Work out 0 + -69832.\nAnswer: -69832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Put -45, -3, 0 in decreasing order.\nAnswer: 0, -3, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 230 - 35*z + 73*z - 106*z + 70*z.\nAnswer: 2*z + 230","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let r = -27 - -29. Suppose 4*c - 3*y + 79600005 = -r*y, -4*y - 19899980 = c. What is c rounded to the nearest one million?\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 16806 to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of (-2)\/(-5) + 158\/5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ddccswpllsss. Give prob of picking 4 s.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from {k: 1, y: 2, q: 2, z: 1, b: 4, r: 2}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-130)\/(-260)*(1 - 2)*0\/1. Let u = 12.79 - 13. Let l = 0.41 + u. Which is the closest to -2? (a) d (b) l (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(n) = n**3 - 19*n**2 + 10*n + 18. What is a(18)?\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Express x + 415 - 830 + 424 + (-x + 6*x - 2*x)*(-2 - 4 + 5) as c + a*x and give c.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Convert 11 (base 10) to base 5.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g(i) = 2*i + 8. Suppose -4*u = 2*v + 6, -4*u + 2*v - 5*v = 1. Let y be g(u). Is -3 smaller than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 6803.\nAnswer: 6803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 55\/92904 and -47\/147?\nAnswer: 92904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 29321119 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 227947?\nAnswer: 227947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Put 4, 0, -25 in descending order.\nAnswer: 4, 0, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 91493 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 31617, 31620, 31623, 31626, 31629?\n\"Answer: 3*v + 31614","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4700945 is divided by 412.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((b\/b**3)\/b*(b*b\/(b\/b**(-2)))\/b)**(-18)*b*b\/((b\/b**1)\/b)*b**(-5)*b**(-5)*b*(b\/b**(-2\/11)*b)\/b assuming b is positive.\nAnswer: b**(937\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -6 + 8 = -2*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let z = -36511\/3496 - -30\/437. Find the common denominator of 41\/22 and z.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 44795203 and 2306?\nAnswer: 1153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let v(k) = -1101*k - 7. Is v(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*i - 18 = 2*i - 2*d, -3*i + 11 = -d. Suppose i*r + p - 93 = 0, -3*p + 66 + 52 = 5*r. Suppose 4*u = 4, -u - 18 = -3*t + r. Is 7 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(o) = -o**3 - 12*o**2 + 9*o + 16. Let g be t(-13). Suppose 4*v + 2*m = 146, 181 - g = 3*v - 2*m. What is the remainder when 109 is divided by v?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -341 + 482. Let p = j + -136. Let v = 3.5 - 3. What is the third smallest value in v, -3, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 140044 + 4?\nAnswer: 140050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let l = 12 - -11. What is the remainder when l is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(w) = 1. Let d(n) = -n - 14. Let y(c) = d(c) + 6*m(c). Let p(k) = 17455 + 17455 - 34911. Determine -6*p(i) + y(i).\nAnswer: -i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -3 in -0.3, 2, -15, -128\/5, -4, 0.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 36124090?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 240\/(-6) + (-578104)\/(-14794)?\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Sort -49, -5, 181, 19.\nAnswer: -49, -5, 19, 181","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Divide -6 by -48.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in 8, -1\/36, 15\/2, -4\/7, -3\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 4540317 (base 8) in base 3?\nAnswer: 2022102212210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3 + sqrt(175) + 0 + 3 + (sqrt(56)\/sqrt(4))\/sqrt(2).\nAnswer: 6 + 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-6)\/(36\/(-15))*(10902\/316)\/(15\/8).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d(z) = -2*z - 6. Calculate d(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let r = 0.033117 + -0.012396. What is r rounded to 4 decimal places?\nAnswer: 0.0207","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: -56.980983 - 0.00976\nAnswer: -56.990743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve -32*r + 10*r = 176 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let n = 18 - 11. Suppose -4*x = -2*m + 10, -m = -0*m + x + 1. What is the highest common divisor of m and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(i) be the second derivative of -i**4\/6 - i**3\/6 + i**2 - 4*i. Let p be a(1). Which is smaller: p or -1\/7?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is ((-106938)\/(-12))\/(6\/4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 61 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let a(n) = n**2 + 5*n - 21. What are the prime factors of a(-12)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(i) = 5*i + 7. Let v be z(12). Let q = v + -45. Calculate the least common multiple of q and 38.\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Find m such that 5*m**2 + 24505*m - 147210 = 0.\nAnswer: -4907, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 0 divided by 50?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let o = -230 + 289. Let k(i) = -i + 64 - 3*i**2 + o - 123. Calculate k(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*t + 2 - 10 = 0. Suppose -t*s + 7 - 1 = 0. Solve s*i + 20 = -2*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-16)\/(-12))\/(10\/30).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose x + 3 = -3*x + 3*k, -4*k + 14 = -2*x. Solve -6*r = j - 3*r + 10, -x*j + 5*r + 12 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -5, -1\/3, 0.01, -1\/4 in descending order.\nAnswer: 0.01, -1\/4, -1\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Sort -19, -5, 1\/5, 0.5, -0.06, 4809.\nAnswer: -19, -5, -0.06, 1\/5, 0.5, 4809","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-48)\/(-8)*15\/(-1845)*6\/(-3).\nAnswer: 4\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t(h) = -19*h**2 + 120*h + 130. Let y be t(7). Let w(a) be the second derivative of -9\/2*a**3 + 0 - 1\/2*a**2 - y*a. What is the derivative of w(z) wrt z?\nAnswer: -27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(a) = -83*a**3 - 6*a**2 + 6*a + 1. Let g(s) = 41*s**3 + 4*s**2 - 4*s. Let h(r) = -3*b(r) - 5*g(r). Find the second derivative of h(u) wrt u.\nAnswer: 264*u - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 750 - 640. Calculate the remainder when 2085 is divided by m.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ffgfnffgffnf. What is prob of sequence fng?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 45637.8 rounded to the nearest 1000?\nAnswer: 46000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 550384 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*((0 + sqrt(720))**2 + 0).\nAnswer: -1440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:39 AM and 7:49 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let v = -933\/7 - -133. Let x = 5.2 + -5.6. Which is the closest to 1? (a) x (b) 1 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 2.92 - -0.08. Let n = c - 2.5. Let p = -0.49999977 + n. Round p to 7 decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 158608557*q**5 + 150299631*q**2 wrt q?\nAnswer: 9516513420*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let b = -87096\/17 - -2086841\/425. Let j = -213 - b. Let s be (-2)\/7 - (-25)\/(-35). Is j smaller than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, 3\/7, -0.3, 2 in decreasing order.\nAnswer: 2, 3\/7, -0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let i(n) = -509*n + 10. Let q(y) = -255*y + 5. Let h(r) = -4*i(r) + 7*q(r). Is h(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -28*a**2*l + 1566*a**2*z - 1694*a**2 + 2*a*l*z - 14730*a*z - 2023*l*z wrt a.\nAnswer: -56*l + 3132*z - 3388","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 329*p - 30248 = -48*p + 18008 for p.\nAnswer: 128","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 189 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12*n**4 - 20*n**3 - 16*n**2 + 16*n = 0. What is n?\nAnswer: -1, 0, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(34) + sqrt(34)*1*-3 + sqrt(34))*-4)\/(3*(-2*sqrt(98) - sqrt(98))).\nAnswer: -4*sqrt(17)\/63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let h = 488 + -331. Let g = -22 + h. Is g a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -79, 3, -9 in increasing order.\nAnswer: -79, -9, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (7\/(-49))\/(16*4\/448*3*-5)?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g(z) = -9*z - 3. Calculate g(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 29 = f, 77*f = -5*w + 80*f - 102 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Round 1.346409 to 2 dps.\nAnswer: 1.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2*u**4 - 1 + 1 + (314*u**3 - 12080 + 12080)*(-u - 2*u + 2*u) + 0*u**4 - 3*u**4 - u**4 to s*u**2 + j + n*u**4 + g*u**3 + p*u and give n.\nAnswer: -316","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let u = -0.124 - 5.826. Let z = -6 - u. Let f = z + 1.05. Is -1 at most f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(y) be the third derivative of y**7\/315 + 7*y**6\/360 + 11*y**4\/24 - 6*y**2. Let v(q) be the second derivative of a(q). What is the units digit of v(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1 + sqrt(91)\/sqrt(7))**2*-6 + 2 + 4*sqrt(832).\nAnswer: -82 + 44*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 124430?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence xx when two letters picked without replacement from xxt?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let j(z) = 2149*z + 10. Let t(a) = 42*a + 1. Give j(t(q)).\nAnswer: 90258*q + 2159","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 2560 and 18080?\nAnswer: 289280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*g - 1 - 5 = 0. Let d be 21\/14*4 - -4. Is ((-78)\/d)\/(g + (-63)\/30) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 10\/220077 and -161\/1520532.\nAnswer: 16725852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let q = -25 - -21. Let v be q\/18 - 20\/(-9). Solve 2*s - 20 = -2*u - 0*u, -s = v*u - 15 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 58321 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Are 0 and -223\/4596080 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 486*l**2 + 474*l**5 + 91*l**2 - 147*l**2 + 261*l**2 wrt l.\nAnswer: 28440*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Do -50471 and -50445 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let h(x) = -x + 19. Let b be h(13). Let n(y) = y**2 + 16*y - 8. Let d(f) = -f**2 - 15*f + 7. Let l(z) = b*n(z) + 7*d(z). What are the prime factors of l(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 388 minutes after 2:06 AM?\nAnswer: 8:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Product of 113976331 and 10.\nAnswer: 1139763310","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 10 or 12161\/1098?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let v = -3.96 + -0.04. Sort -0.3, 5, v.\nAnswer: v, -0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -107*y + 13087 - 12280 = -376*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let v(t) = t**3 + 6*t**2 + 5*t + 4. Determine v(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let z = 26 + -38. Let v = -9 - z. Solve 5*w = -v*f - 3, 0*w + 4*w + 4 = -2*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(i) be the second derivative of 19*i**8\/56 + i**7\/7 - 17*i**4\/6 + i**2\/2 + 25*i. What is the third derivative of k(d) wrt d?\nAnswer: 2280*d**3 + 360*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(v) be the third derivative of v**6\/120 + v**5\/20 - 11*v**4\/24 + v**3\/3 - 18*v**2 - 41. Calculate q(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 2 + 3. Solve 0 = 5*n + 5*o - k, -n + 3*o = n + 23 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 7024*b + 10011*b - 2047*b + 631 - 59*b - 1342*b wrt b.\nAnswer: 13587","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*a**3 - 32294*a**2 - 8861806*a - 613209898.\nAnswer: -2*(a + 139)**2*(a + 15869)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -37291.032 - -5811.3?\nAnswer: -31479.732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*g + 420 - 160 = 3*y, -343 = -4*y - 3*g. Let z = y + -681\/8. Let w be 4 + (((-18)\/3)\/3 - 1). Is z equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -93 - -104. Calculate the least common multiple of x and 7.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(h) = -h**4 - 5*h**2 - 9*h + 3. Let p(t) = -2*t**4 + 2*t**3 - 14*t**2 - 26*t + 8. Let m(g) = 3*p(g) - 8*v(g). What is f in m(f) = 0?\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 7630 less than or equal to 7629?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let p be 3*((-640)\/(-6))\/10. Let x(z) = -p*z + z**3 - 2*z + 35*z - 2*z**2. What is x(3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be 22\/220 - 156\/760. Which is the fourth smallest value? (a) 0 (b) 3 (c) p (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(r) = -13445*r + 26932. What is z(2)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 16 - -102 - 49 - 60.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s(j) = -5*j**2 + 8*j + 134. What is s(-7)?\nAnswer: -167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let s = -1905335428987454323 + 1905335458745315520.00000133. Let a = s - 29757861355. Let y = a + 158. Round y to 7 decimal places.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-1218)\/(-377)*(481\/78)\/37?\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d(f) = 2*f + 2. Let t(p) = 5*p + 51. Let a(r) = -4*d(r) + t(r). What is a(16)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) be the third derivative of -5*r**4\/24 + r**3\/3 + 16*r**2. Let y(c) = -2*c**2. Calculate y(l(i)).\nAnswer: -50*i**2 + 40*i - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand -k**2 + 2*k**2 + 0*k**2 + (-3*k - 2*k + 4*k)*(-k - 2*k + k) - k**2 - 5*k**2 + 5*k**2 - 2*k**2 + 2*k**2 + 2*k**2 + 3*k - 2 - 3*k + 2*k**2.\nAnswer: 6*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let q be 2 - 1 - 0 - 0. Let b be (q + 3)\/((-3)\/(-3)). Solve -5*l - b - 33 = 3*m, -2*l + 2 = -3*m for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 1661 or 51520\/31?\nAnswer: 51520\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2*(-20)\/2*(-46)\/115?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d(w) = 1749*w - 10329. Calculate the remainder when d(6) is divided by 1\/4 + (-139)\/(-4).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h*h*h**(1\/2)*h)**(-4\/25)*h**(-3)*h**(-2\/5)\/h assuming h is positive.\nAnswer: h**(-124\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in one sixth of a decade?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 7\/2 of a millennium in decades?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n be (9\/(-6))\/(-3)*8. Suppose -4 = n*j - 6*j. Differentiate 0*k - j - 3*k + k wrt k.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: 24235 (base 11) to base 5\nAnswer: 2104021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -3 in 70.88, -4, 2\/5, -2.5?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 752923 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 759 and 72990753?\nAnswer: 759","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} {"text":"Question: Suppose -o - 2 = 2*u - 5, -5*o - u = -24. Suppose 15 = 2*g - 3*g + o*c, 3*g - 5*c + 5 = 0. Sort 2, -59, g in ascending order.\nAnswer: -59, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 50336 - ((-6)\/(-15))\/(8\/60) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from bbcbc. What is prob of picking 2 c?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let v = -85 - -125. Calculate the smallest common multiple of 16 and v.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 385 minutes after 10:01 AM?\nAnswer: 4:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*l + 4*o = 2*l + 24, -l - 3*o = -13. Let f(b) = -b - 1. Let k be f(-1). What is the units digit of 1 - -2 - (k - l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 27*o = 16*o + 11 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-8 - 6 + 0)*(-2 + 3 + 3)*(-3*a + 0*a - a) to the form l + i*a and give i.\nAnswer: 224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let p(i) be the second derivative of -2*i**6\/3 + 43*i**3\/3 - i + 4. Find the second derivative of p(z) wrt z.\nAnswer: -240*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 3 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0? (a) 3 (b) 0.4 (c) 1\/35 (d) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is (-4448)\/44480 - (-4 + (-31)\/(-15))\/(2\/(-3))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 1.1847 + -1.2547. Let j(l) = 11*l + 4. Let s be j(5). Let w = s + -237\/4. Which is the second biggest value? (a) i (b) 5 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -35*r - 44*r = -104*r + 155975. Is r a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(g) = 16*g**2 + 10*g + 17. Let x(h) = 14*h**2 + 8*h + 14. Let w(u) = 5*x(u) - 4*z(u). Let d = 6 + -8. What is w(d)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3239*-3450.\nAnswer: -11174550","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 690 minutes before 10:04 PM?\nAnswer: 10:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*o - 5 + 3 = 0. Let c be (o\/(-1))\/(1\/17). What is the tens digit of (c - 1) + 4 + -8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -226*d - 3*d**3 - 4*d**3 - d**3 + 233*d + 0*d**3.\nAnswer: -8*d**3 + 7*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 5\/(34782\/(-81345) - 6\/(-10))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -4 + 13e56996?\nAnswer: 13e56992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let x(g) be the first derivative of 23*g**3\/6 + 5*g**2\/2 + g - 20. Let h(b) be the first derivative of x(b). What is the derivative of h(n) wrt n?\nAnswer: 23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 67 minutes before 12:51 AM?\nAnswer: 11:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let u = 3.1 + -0.2. Let a = -2.879 + u. What is a rounded to 2 dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be 5\/5*33\/(-77). Let t be -1 - (-2*3 - -1). Which is the smallest value? (a) -4\/3 (b) t (c) r (d) 5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -89850 by 10.\nAnswer: -8985","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*r**2 + 3*r**2 + 3*r**2)*(-11 + 29 - 16 + r).\nAnswer: 2*r**3 + 4*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let z be -2 + 4\/(-1)*-5. Suppose y + z = t - 36, 0 = -3*y. Let n = t - 12. Is n a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be -48*5\/(-7 - -2). What is the second derivative of u*k**2 - 105*k**2 + 25*k**2 + 1 + k wrt k?\nAnswer: -64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*m - 2 = -q + 2, -5*m = 0. Let p be 41\/(-15) + 2 - q\/(-10). What is the second smallest value in 0.1, 0.2, p?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((c**1\/c)\/((c\/(c**(-12)\/c))\/c))**19*(c**2\/c)**(-13\/5)*((c*(c**(-2)\/c*c)\/c*c*c)\/c)\/((((c\/(c\/(c**(-6)*c)))\/c)\/c)\/c) assuming c is positive.\nAnswer: c**(-1213\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -81 + (25 - 32 - -49 - 28).\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 60, 113, 162, 207?\n\"Answer: -2*g**2 + 59*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let q be ((-66)\/(-4))\/((-28)\/(-56)). Let j = 12 + -16.8. Let p = 5.8 + j. Which is greater: q or p?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 0.01 - -0.79. Let n = -0.8 + g. Which is the nearest to n? (a) -3\/4 (b) -1\/3 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -587*o = -124*o - 7871 for o.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 s and 3 y when four letters picked without replacement from {y: 7, s: 3}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -41, -114, -201, -302, -417, -546, -689?\n\"Answer: -7*s**2 - 52*s + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*a**4 + 0*a + 0*a)*(2 - 2*a - 2) - 2*a + 123*a**5 - 60*a**5 - 66*a**5.\nAnswer: a**5 - 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1768113 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -220202534250 + -2?\nAnswer: -220202534252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -h + 8330 = -2*k, 0 = -4*h - k + 2*k + 33327. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(c) = -c - 5. Give j(7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let m(f) = f. Let j(c) be the second derivative of c**6\/120 - c**3 + 6*c. Let q(d) be the second derivative of j(d). Give q(m(v)).\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 462 + 1173 = 57097*f - 57046*f - 966 for f.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 328 and 12?\nAnswer: 984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let o(g) = 61*g**3 + 2*g**2 + 2*g - 2. Let l(z) = -792*z**3 - 27*z**2 - 27*z + 27. What is -4*l(p) - 54*o(p)?\nAnswer: -126*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Work out 2.1 * -1004.\nAnswer: -2108.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 11862*v - 2*v**2 + v**2 - 23715*v + 11853*v - 29.\nAnswer: -v**2 - 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(190)\/(sqrt(10) + sqrt(250) - sqrt(10)) + -1*(-2 + sqrt(19)) + -1.\nAnswer: -4*sqrt(19)\/5 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let n be (0 + 3\/(-9))*2*-6. Solve 7 = i + 5*o - 22, -i = n*o - 24 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 89 minutes before 4:02 PM?\nAnswer: 2:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is next in 578, 579, 580?\nAnswer: 581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 574245 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 476 = -98*g + 182 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3*(-3 + (1 + sqrt(1053)*3 + sqrt(1053) + sqrt(1053) + -3*sqrt(1053) + -1)**2)*-5.\nAnswer: 63135","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 6*u - 5 + 35. Let m be (-1)\/(1 - (-6)\/u). Suppose w - m*w = -2*t - 3739996, 2*t + 3740002 = -2*w. What is t rounded to the nearest 100000?\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 155500834?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 1 (base 3) in base 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 4503888349 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 23146, 23144, 23142?\n\"Answer: -2*o + 23148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let z = -2391 + 983. Let u be 800\/z + 4\/(-22). Let l = 0.3 - 0.3. Which is the closest to 1? (a) 4 (b) l (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k**40*k*((k\/(k**(-2\/5)*k*k))\/k)\/k*k*k)\/(k**40*k)**(-11\/4) assuming k is positive.\nAnswer: k**(3063\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let o = -242 - -339. What is the remainder when o is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -l + d + 20 = 0, 5*l = -0*d + d + 84. Let k be (-36)\/22*(-1243)\/113. Suppose -l*j = -k*j + 10. Does 2 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*t + 9 = s + 21, 3*t + 48 = -4*s. Let u be 32\/6 + s\/9. Put 5, 0, u in decreasing order.\nAnswer: 5, u, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(k) = -6*k**3 + 6. Let p(b) = 2*b**3 - 2. Let l = -21 + 18. Let a be (-47)\/l - (-1)\/3. Give a*p(f) + 5*i(f).\nAnswer: 2*f**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let a(j) = 42*j + 21*j - 19*j - 5*j. Let u(d) = 2*d**2. Give a(u(p)).\nAnswer: 78*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -10211025514 - -1?\nAnswer: -10211025513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 7, -9, -39, -89, -165, -273?\nAnswer: -419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let x be 0*3\/6 - -7. Let a be 8\/14 + 3\/x. What is the highest common factor of 5 and a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be 0 + 4 - (3 - (107 - 5)). Let r = 287 - y. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*(-1*sqrt(68))**2*-4.\nAnswer: -816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let z = 9 - 5. Suppose -2*n = -3 - 381. Suppose n + 652 = z*h. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*z - 4*v, -z + 5*v = 2*v. Suppose 2*y - 4*y + 152 = z. Is y a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(h) = -362*h**2 + 21*h - 16. Let u(j) = 181*j**2 - 10*j + 7. Let m(w) = 13*u(w) + 6*z(w). Let f be m(-1). Calculate the greatest common factor of f and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2\/7 in -1.7, 0.5, 3, 4.1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-6)\/(-54)*15)\/((-1)\/3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is next in -480, -1919, -4324, -7701, -12056, -17395, -23724?\nAnswer: -31049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in one quarter of a milligram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k(f) = f**3 - 3*f**2 + f + 1. Give k(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 150, 141, 128, 111?\n\"Answer: -2*b**2 - 3*b + 155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*y**3\/15 - 46*y**2\/15 + 32*y\/3 - 152\/15.\nAnswer: 2*(y - 19)*(y - 2)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is next in 153, 256, 355, 450, 541, 628?\nAnswer: 711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify c**8\/(c*(((c*c**(-1\/7)*c)\/c*c)\/c)\/c*c*c) assuming c is positive.\nAnswer: c**(36\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let c = -76 + 81. Solve -c*y = -9 - 1 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(c) be the second derivative of 1351*c**4\/12 - 4*c**3 + 5*c**2\/2 - 156*c. Find the second derivative of n(d) wrt d.\nAnswer: 2702","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -2867.5 or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let v = 2602 - 2175. Is 432 bigger than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 165610 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let o = -111 + 113. Solve 5 = 4*g - 5*y, 0*y = -g + y + o for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -12*j + 4 = -11*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1606 or -1603?\nAnswer: -1606","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let w(a) = -3*a + 7. Let s be w(4). Calculate the lowest common multiple of 158 and (s\/3)\/(15\/(-180)).\nAnswer: 1580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(m) = -8*m - 10. Let b(t) = t + 1. Determine 12*b(h) + x(h).\nAnswer: 4*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 2251367 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: ((28\/60)\/7)\/(2\/5)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2 in -2, 0.4, -3, 1582?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let x = 31 - 31. Let f(z) be the first derivative of -3\/2*z**2 - 2 + x*z. Let j(t) = -2*t. What is j(f(d))?\nAnswer: 6*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -s = 3*s - 3*k - 93, -5*k = 3*s - 77. Put -1, 3, s in descending order.\nAnswer: s, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 1, 39\/8, -1\/6, 0.4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 4, 0.2, -28, 1\/2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 41780 and 580.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -21 or -262147?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 567260671 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let l(o) = -12*o**4 + 3*o**3 + 3*o**2 - 7*o. Let a(t) = 13*t**4 - 4*t**3 - 4*t**2 + 7*t. Let i(u) = 3*a(u) + 4*l(u). Find the second derivative of i(p) wrt p.\nAnswer: -108*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Add -100655444 and 0.3.\nAnswer: -100655443.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 60 and 220?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -p - 1503 = -3*n, -2*p + 1994 = -0*n + 4*n. Suppose -4*i - 3*q + 475 = 0, 50 = -4*i + 2*q + n. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -1c5c6 (base 16) to base 7.\nAnswer: -662451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*w = 4*w + 8. Suppose 3*m = 4*m - 4. Which is the closest to 1\/2? (a) w (b) 1 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -17.426 + 48.43. Let m = 31 - t. Round m to three decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:32 AM and 7:32 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: (-2)\/(((-323)\/(-51))\/((-7)\/(-21)))\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 12584846.\nAnswer: 2, 1021, 6163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*sqrt(44) + -1*-3*sqrt(11))**2.\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -3569345, -3569361, -3569375, -3569387?\n\"Answer: l**2 - 19*l - 3569327","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 128772\/(-41391) - (-898)\/(-18)?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let m be 4\/(-1)*1 + -1157 + 1256. Which is smaller: 128 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be 0*(-1)\/(-6)*6. Suppose -3*r - 4*a + 20 = w, 7*r - 9*r + 4*a = 20. Let i be (-8)\/3*6\/(-4). Solve 9*v - i*v = r for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*b + 0 = 8. Let a = 2 + b. Suppose a*v + 2*k = -0*k + 96, -16 = -4*k. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(j) = j**3 + 13*j**2 + 37*j - 17. Determine n(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: (((-7)\/9)\/7)\/((-7)\/14)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 145\/1416 and 51\/6608.\nAnswer: 19824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 2*o**2*v**3 - 46417521*o**2*v + 8625151*o*v**3 + o*v**2 - o*v wrt o.\nAnswer: 4*v**3 - 92835042*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 218401077557 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 5181347357 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let k = -24 + 34. Suppose -4*h - 3*y - 1 = 0, 660*h + 18 = 663*h - 4*y. Is (-5435)\/k*h\/(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {o: 4, b: 1, k: 8}. What is prob of sequence ok?\nAnswer: 8\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -4 + 87 + -16 - 36.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r(s) = 8*s**2 - 89*s - 83. Let z be r(12). Let b(t) = -2*t**2 - 4*t + 2. Let f(h) = -1. Determine z*b(x) + 2*f(x).\nAnswer: -2*x**2 - 4*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let l(t) be the first derivative of 2*t**5\/25 + 2*t**4\/5 - 4*t**3\/15 - 12*t**2\/5 + 18*t\/5 - 6. Factor l(c).\nAnswer: 2*(c - 1)**2*(c + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 372 and 11284?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: aea (base 15) to base 13\nAnswer: 1180","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -42111\/4, 2\/9, 1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let w = -5823 + 5629. Is w greater than or equal to -194?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -98*p**5 - 252*p**4 - 218*p**3 - 72*p**2 - 8*p.\nAnswer: -2*p*(p + 1)**2*(7*p + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let i(q) = -377 - 384 + 760 + q**2. Suppose 5*j + 2*c + 14 = j, -8 = 3*j + 2*c. Let x(s) = s**3 - s**2 + 1. What is j*x(z) - 6*i(z)?\nAnswer: -6*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3054 is divided by 65.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Sort -1\/3, -2\/5, -0.5, 2, -17, 322.\nAnswer: -17, -0.5, -2\/5, -1\/3, 2, 322","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*s**4\/11 - 10*s**3\/11 = 0.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let g(l) be the third derivative of l**7\/5040 + l**6\/48 + 2*l**5\/15 - l**2. Let r(m) be the third derivative of g(m). What is the tens digit of r(12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(b) = 26*b**3 - 34*b**3 - b**2 + 16*b**3 + 2*b - 1. Suppose 5*n + 40 = -5*v, -4*n = -2*v + 3*v + 20. Let u(p) = p**2 + 4*p + 1. Let f be u(n). Give j(f).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be -4 + (-156)\/(-42) - (-108)\/(-14). Calculate the common denominator of r\/(-30) + (-6)\/(-12) and 21\/40.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(z) = -z - 3. Let p be w(-3). Let r(v) = -2*v**2 - 61*v - 216. Let i be r(-4). Which is the smallest value? (a) 1\/3 (b) i (c) p (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (142 + 11 + 87)*(2 + 2*f**4 - 2 + (3*f + 2*f - f)*(-6 + 5*f**3 + 6)).\nAnswer: 5280*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: 3 - -3 - (9 - (0 + 3))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put 4, 8, 40572 in increasing order.\nAnswer: 4, 8, 40572","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: (1\/(-2))\/(102\/(-24) - -4)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let i be 231\/42*96\/(-440)*(-90)\/42. Find b such that -2\/7*b**3 - i*b**2 - 40\/7*b + 0 = 0.\nAnswer: -5, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (o**2 + o - o)*(108 + 40*o - 108)*(1 + 1 - 1).\nAnswer: 40*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-1)\/((-308)\/66*(-18)\/8). Is 1 not equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(p) = 3*p + 9. Let d(y) = 1. Let l(a) = a + 5. Let f(w) = 4*d(w) - l(w). Let x(j) = 4*f(j) + k(j). What is the derivative of x(v) wrt v?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*u - 5*u = 3. Suppose 0 = 2*m + u*m - 260. Is 9 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 184 minutes after 2:01 PM?\nAnswer: 5:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let t = -3.9819 + -0.0181. What is the nearest to -0.24 in -1, t, 3\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((o**(-2\/13)*o)\/(o*o*o*o**(-4\/11)*o))\/((o\/o**(-9))\/(o*o\/((o\/(o**1\/o))\/o*o))) assuming o is positive.\nAnswer: o**(-1686\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let t = 15 - 14. Which is the nearest to t? (a) -0.4 (b) 2\/13 (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 4*c*d**3*w*x + 971*c*d**3*w + 2*c*d**3*x - 5*c*d**2*w - c*d**2*x - 2*c*d*w*x + c*d*x - 2*c - 2*d**2*x wrt d.\nAnswer: 24*c*w*x + 5826*c*w + 12*c*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Put 0.6, -1, 449\/3, -3, 5 in increasing order.\nAnswer: -3, -1, 0.6, 5, 449\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) 2\/31 (b) -1\/3 (c) 52 (d) -1657 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 242, 468, 670, 836, 954, 1012?\n\"Answer: -2*n**3 + 240*n + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in 47613.1nm?\nAnswer: 0.0476131","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 80*p - 173*p + 88*p = -5*v - 55, -p + 4*v = -32 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 375 divided by 3?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let q(s) = 23*s - 317. Let n be q(14). Let c = 3 + -1. Sort 0, c, 3, n in descending order.\nAnswer: n, 3, c, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 10117, 10097, 10077?\nAnswer: 10057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let h be 4\/5*(-15)\/(-6). Let y be (-16*h)\/((-6)\/15). Calculate the highest common divisor of 16 and y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -342478148 + 41095781863\/120. Let j = z + 13299. Calculate the common denominator of j and -51\/14.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 110571074?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: -324.549516309 - -2\nAnswer: -322.549516309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: -1020 divided by 733\nAnswer: -1020\/733","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let h be (0 - (1 - -125)) + (-18)\/(-6). Let a = h - -188. Is 7 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 114447 is divided by 622?\nAnswer: 621","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 18 = y + y - 3*l, 3*y - 2*l = 22. Let i(j) be the first derivative of 0*j + 1\/21*j**y + 0*j**2 - 2 - 2\/21*j**3 - 1\/14*j**4 + 2\/35*j**5. Factor i(r).\nAnswer: 2*r**2*(r - 1)*(r + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 16728\/10660*(-10)\/3*52\/(-40)?\nAnswer: 34\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-8)\/(-10)*(-130)\/(-52)*18\/(-4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 6803 is divided by 252?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: 20\/70 - (-2 + 356\/168)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2? (a) 5 (b) -1\/4 (c) -200 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 j and 1 d when three letters picked without replacement from {j: 4, b: 2, x: 4, d: 3, o: 3}.\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 25 and 14720.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -4 (b) -884 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 3994 rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -140, -138, -136?\n\"Answer: 2*u - 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 11, 1, -21, -61, -125, -219, -349, -521?\n\"Answer: -q**3 - 3*q + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 6760 divided by 151?\nAnswer: 6760\/151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let w(l) = l**2 + 22*l + 118. Let d be w(-8). Solve -5*i + d = -14 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 10 - 1001101000010111?\nAnswer: -1001101000010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(68)*1 - (-4 + 1 + sqrt(17)) - (6*(sqrt(187) - (sqrt(187) + sqrt(187) + 1*sqrt(187))))\/(-2*2*sqrt(11)).\nAnswer: -2*sqrt(17) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let r(o) = 155*o**2 + o - 1. Suppose -2*f = -3*p + 3, -2*p = -6*p + f + 4. What is the tens digit of r(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(d) = d**2 - 2*d - 15. Let y(o) = -5*o**2 + 9*o + 61. Determine 9*t(a) + 2*y(a).\nAnswer: -a**2 - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3 + (sqrt(475) + -6*(sqrt(475) + -2*sqrt(475)))*3*4)**2.\nAnswer: -2520*sqrt(19) + 3351609","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*d**3 - 140*d**2 + 140*d**2.\nAnswer: -3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let b(s) = -4*s**2 + 6*s - 5. Suppose 31*h + 8 = 35*h. Let v(z) = z**2 - z**2 - 13*z + 11 + z**h + 8*z**2. What is 13*b(i) + 6*v(i)?\nAnswer: 2*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1023916?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from fffoooffof. What is prob of sequence of?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 73592?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 6382?\nAnswer: 2, 3191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 268733 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -43\/3 in -2\/11, 17\/9, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (1 - (-10 - -15)) + 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 2*g**2*h*w**2 - 3*g**2*w**3 + g**2 + 5*g*h*w**3 - g*w**3 - 854*h + 21*w**3 wrt w?\nAnswer: -18*g**2 + 30*g*h - 6*g + 126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 + 5 - 3 + (-1 + 0 + 0)*(-1 - 2 + 5) + 2 + 3 - 6)*(4*b - b + 3*b)*(99*b + 13 + 102*b - 197*b + (3*b + 0 + 0)*(-1 - 4 + 4)).\nAnswer: 6*b**2 + 78*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let s = 124 - 124.2. Let f be (-2)\/6 - 3\/9. Let k(w) = 2*w**3 - 6*w**2 - 9*w + 3. Let j be k(4). Which is the closest to j? (a) -5 (b) f (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 9 - -5. Let p = i - 6. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 b and 1 g when four letters picked without replacement from {g: 1, v: 4, b: 4, l: 2}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let t = 133 + -135. Let d = t + 2. Let r(z) = -z**2 + z - 5. Let w be r(0). Sort d, 2, w.\nAnswer: w, d, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 178455 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let -3*h**3\/4 - 39*h**2\/4 - 33*h\/2 = 0. What is h?\nAnswer: -11, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:43 AM and 4:01 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 202 minutes after 11:39 AM?\nAnswer: 3:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 85\/36 and 970\/144*1\/(-5)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(v) = v**3 - 2*v**2 - 22*v + 56. Let b be d(4). Which is bigger: 271 or b?\nAnswer: 271","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 55\/18 and 52\/1197.\nAnswer: 2394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify p**(-5\/3)\/(p**(-1\/7)\/p)*p**(-2\/19)\/p**(4\/11) assuming p is positive.\nAnswer: p**(-4357\/4389)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2815? (a) 4 (b) 3696 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let u(w) = -w**2 + 17*w - 80. Let y be u(7). Does 9 divide 14986\/10 - (6 - (-64)\/y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-27*a + 65 - 65)*((a + 0*a + 0*a)*(0 - 3 + 2) - 1 - 2*a + 1) to the form c + p*a + y*a**2 and give y.\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*m + 15 = -0*m, 5*f - 220 = 4*m. Calculate the remainder when 3\/((3 - 1)\/2) - -74 is divided by f.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 3815 + -485. Calculate the lowest common multiple of 22 and z.\nAnswer: 36630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(x) = x**3 - 2*x - 1. Let j be i(-2). Let z(p) = p**2 + 3*p - 3. Let h be z(j). Solve -h*b + 2*b = 5 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of (8\/(-2))\/(-7 - 525\/(-77))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 61\/219092 and 51\/28.\nAnswer: 1533644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((v**(-1\/8)*v**3*v)\/(v\/v**(-1))**(-22))**(-36))**23 assuming v is positive.\nAnswer: v**(-79281\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from nnaaasasfqn. Give prob of sequence fq.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is next in -32, 23, 78, 133?\nAnswer: 188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 274751721 to the nearest integer?\nAnswer: 650","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -7831*f + 58 = -7773*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4\/(-26) - 1320\/(-3510) - (-22400)\/45?\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: 584 divided by 146\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 5097, 20366, 45809, 81420, 127193, 183122, 249201?\n\"Answer: -l**3 + 5093*l**2 - 3*l + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1822 is divided by 1595.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Put together -3687.202 and 2005.12.\nAnswer: -1682.082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: 229920416 divided by -3431648\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 3*l**5 - 22090*l**2 - 3474390*l.\nAnswer: 60*l**3 - 44180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let n(m) = 4*m**2 - 16*m - 1. Let z be n(4). Let l(w) = -w**3 + 2*w**2 + 1. Let q be l(2). Let x be z*(-3)\/q*(23 + -2). Is 63 not equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 35, -129, -399, -769, -1233, -1785, -2419, -3129?\n\"Answer: t**3 - 59*t**2 + 6*t + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 592 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1586 is divided by 423.\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((s**0)**(-2\/37))**32 assuming s is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -7 = 6*i - 3*i - r, i + 1 = -r for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let r(x) = -3*x**3 - 4*x**2 + 4*x + 4. Let i = -57 - -58. Let m(p) = -p**3 - p**2 + p + 1. Give i*r(u) - 4*m(u).\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 141*y + 181*y + 3*y**2 - 322*y.\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -23, -104, -305, -686, -1307, -2228?\nAnswer: -3509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -3\/2 (b) -0.2 (c) -0.27 (d) -21 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 1.147 rounded to one decimal place?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: -0.1 * 0.1009\nAnswer: -0.01009","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let a = -70 - -80. List the prime factors of a.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(r) = -7*r + 10*r - 10 - 2*r. Let k be b(8). Let c = 32 + k. Calculate the highest common factor of c and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 6*(sqrt(112) + 1*sqrt(112) + 1 - (-2 + sqrt(112) + -1*sqrt(112)) - ((sqrt(112) - (-1 + sqrt(112))) + 5 + -4*(sqrt(112) + 0))).\nAnswer: -18 + 144*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Round -99842.292 to the nearest integer.\nAnswer: -99842","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 390790455?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is -4196932 minus 0.1441?\nAnswer: -4196932.1441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Put 5, -2\/11, -7497, -1\/5 in ascending order.\nAnswer: -7497, -1\/5, -2\/11, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let w(z) = 1260*z + 2. Let d(l) = 1872*l. Determine d(w(p)).\nAnswer: 2358720*p + 3744","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand 0 + 0 + 2*f**5 + (2*f**2 + f**3 - 2*f**2)*(-f**2 - f**2 + f**2) + 2*f**5 + f**2 - f**2 - 32*f**5 + 30*f**5 - 60*f**5.\nAnswer: -59*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 4\/7 in 26, -30\/13, -0.4, -0.3, 9?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0*d**2 - 18*d - 433*d**3 + 0*d**2 + 18*d.\nAnswer: -433*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: -212020 (base 3) to base 10\nAnswer: -627","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x be 42 + 1 + 3 + -7. Suppose 44*u - 31*u = x. Solve 0 = u*d + 4*n - 21, -d + 5*n - 21 = -3*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -724, -722, -718, -712?\nAnswer: -704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Round -9.474829391 to two dps.\nAnswer: -9.47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 0.4 minus 16006?\nAnswer: -16005.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 4802 a multiple of 98?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let p(o) = 35*o + 25*o - 89*o + 31*o. Let n(g) = -g + 11. Let w be n(0). Let v = -16 + w. Give p(v).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2358*0.2.\nAnswer: -471.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many kilograms are there in 9243.041 nanograms?\nAnswer: 0.000000009243041","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of (-1 - 11)\/12*-137?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*f = 5 + 15. Suppose -f*l + 1221 = -4*v + 241, 375 = 2*l - 5*v. Suppose 5*c = 4*b - l - 110, 0 = -4*b + c + 302. What are the prime factors of b?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(j) = -5*j**2 - 6. Let w(c) be the second derivative of c**4\/3 + 5*c**2\/2 - 18*c. Give 6*w(k) + 5*x(k).\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let y(k) = -2*k**3 + 5*k**2 + 1480*k - 8938. Determine y(6).\nAnswer: -310","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let p(c) = 5*c**2 - c + 11. Let u(f) = -2*f**2 + f - 5. Let r(s) = 64*s + 503. Let i be r(-8). Determine i*u(j) - 4*p(j).\nAnswer: -2*j**2 - 5*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let m(t) be the third derivative of -9*t**7\/350 + 29*t**6\/200 - 33*t**5\/100 + 3*t**4\/8 - t**3\/5 + 14*t**2. Factor m(d).\nAnswer: -3*(d - 1)**3*(9*d - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(m) = m - 1. Let i(a) = 3*a - 2. Let b(l) = i(l) - 2*k(l). Let y(g) be the second derivative of -g**4\/12 + 2*g. What is b(y(h))?\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) be the second derivative of 3*g**8\/28 - 3*g**6\/10 + g**4\/6 - 25*g**3\/2 + 247*g. Find the third derivative of j(z) wrt z.\nAnswer: 720*z**3 - 216*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (1 - -2 - 2)*0. Let d = 24 + -24. Suppose -5*c - 2*u - 10 = -u, -4*c - u - 8 = d. Sort c, -4, k in descending order.\nAnswer: k, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r**(-2\/129)*r*r)**38*r*r*r*r\/r**(1\/27)*r*r**(-15\/8)*r assuming r is positive.\nAnswer: r**(738385\/9288)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let r(g) = -g**3 + 3*g**2 - 4. Suppose 25 = -18*d - 11. Calculate the remainder when 63 is divided by r(d).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 11370146 to the power of 1\/6, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Add together -303163 and -16953.316.\nAnswer: -320116.316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -16, -33, -74, -151, -276, -461?\nAnswer: -718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let p be 4\/(-5)*(-15)\/7347. Let d = p + -296369\/24490. What is the common denominator of d and -17\/4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1 + -3 + 3 + -3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence hx when two letters picked without replacement from hxttksesh.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let s be -18 + (-4 - -2) + 6. Calculate the remainder when 231\/s*(2 + 10\/(-3)) is divided by 19.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -3*s**2 + 3 + 0 + 2 + (4 + 2 + 2)*(0*s**2 - 2*s**2 + 3*s**2) - s + s + s**2 to t + g*s**2 + p*s and give g.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let r(y) = 2 - 1 - 3 + 2*y + 1. Suppose 9 = -3*j + 3*n, -j - 5 = -2*n + 3. Does 3 divide r(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {b: 4, i: 7}. What is prob of sequence bi?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15 = -3*z, -4*z + 52 = 3*n + z. Solve -12*o = -9*o + 3*m, -5*o - 2*m - n = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 0.3 (b) -18944419 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let u = -0.05 + -0.15. Suppose 3*v - 77 = 7*v - 3*x, 4*x = 4*v + 80. Let s be 6\/(-8) - v\/17. What is the third smallest value in 0, u, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(y) be the first derivative of 89*y**2\/2 + 456*y - 120. Calculate the remainder when 75 is divided by o(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1 + (1 - (-12 + 12))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2 + -5 + (sqrt(320) - (sqrt(320) + 2 + sqrt(320) - sqrt(320))**2)*6 + sqrt(320) + 0 + sqrt(320) + 0.\nAnswer: -1951 - 128*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: 6273372 (base 10) to base 11\nAnswer: 35a5306","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-3)\/3*0\/((-25)\/5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -10853000 rounded to the nearest one million?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let x = -0.208 + -0.292. Let m = -2.2 + -0.8. What is the biggest value in x, m, 1\/12, -0.3?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be (852\/(-10))\/(4\/(-10)) + 3. Calculate the greatest common divisor of 81 and q.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 49 and 161438144?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 76463.68cm in nanometers?\nAnswer: 764636800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 119, 121, 123, 125, 127, 129?\n\"Answer: 2*a + 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -r + 6 = 2*r - 4*m, 0 = 3*r - m - 6. Let q = 18 + r. Suppose q = 3*s + 2*s. What is the least common multiple of s and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -1300 + 1213. Let a = 87.009 - 0.009. Let d = a + f. What is the second biggest value in d, 11, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.3 times 0.1005\nAnswer: 0.03015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ssjjvshsjhsh. Give prob of sequence vjs.\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 37\/2 of a hour in minutes?\nAnswer: 1110","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is thirteen fifths of a meter in millimeters?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand -4*w**2 + 3*w**2 + 0*w**2 + 3*w**2 - w**2 - w**2 + (2 - 2 - w)*(-3*w - 2*w + 2*w) + w**2 - 4*w**2 + 2*w**2 + 16*w**2 - 12*w**2 - 18*w**2 + w.\nAnswer: -12*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 205906*c**3 + c**2 - 185919 wrt c.\nAnswer: 1235436","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let p(n) be the second derivative of -20\/3*n**2 - 7\/12*n**5 - 1\/6*n**6 - 19*n + 10\/3*n**3 + 5\/6*n**4 + 1. Solve p(b) = 0 for b.\nAnswer: -2, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be -3 + 2 + 3 + 1 + -7. Let i be 2\/1 - (12\/1)\/r. Solve -4*g = 2*w - 26, i*g + 0*g - 15 = w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 3828 and 23896.\nAnswer: 788568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1949787272 to the nearest integer?\nAnswer: 44156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*j = -2*y - 12, 43*y - 11 = 48*y - 2*j for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let l(m) = -m**3 - 9*m**2 + 9*m - 7. Let c be l(-10). Suppose c*k - 3*y = y + 5, -3*k - 1 = -y. Calculate the smallest common multiple of -3 + 1 - k*9 and 4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(t) = 2*t**2 - 42*t + 14. What is the tens digit of q(26)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {w: 1, d: 3, v: 2, a: 6, j: 3}. Give prob of picking 1 w and 1 d.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -193*t - 1270 + 5794 = -19*t for t.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*y + 4*i - 1750, -5*i + 1166 = 2*y - 2*i. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(t) be the second derivative of -1213*t**3\/6 - t**2 - 2*t + 2. Is z(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 25 minutes after 3:45 PM?\nAnswer: 4:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 11685, 11432, 11179, 10926?\nAnswer: 10673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let p = 670 - 1037. Let n = -324 - p. What is the remainder when n is divided by 21?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 42 and 654696.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let p = 62 + -62. Suppose p = 4*h + 3*c - 27, 2*h - 4*h + 2*c = -10. Solve -4*a = d - 21, h*a - 5*d = 2*a + 15 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*x - 2*x = 3*x. Let o(t) be the second derivative of t + 0*t**3 + 3\/2*t**2 + 0*t**4 + x + 1\/20*t**5. Differentiate o(f) wrt f.\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.4 times 5185?\nAnswer: 2074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3 divided by -72370268.\nAnswer: -3\/72370268","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -r - 56*d = -59*d - 10, -34 = -2*r - d. Solve 0 = -t - 4*u + r, 5*t - 31*u = -32*u + 23 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {v: 7, d: 2, s: 4, x: 3, q: 2}. What is prob of sequence vx?\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let f = -20 + 22. Let q(z) = -218 + 228 + 3*z**f - z - 4*z**2. Let o be q(-4). Put -5, 0.4, 2, o in increasing order.\nAnswer: -5, o, 0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6 = n - t, -4*t + 11 = -5*n - 14. Let f(j) = 22*j**2 - 2*j - 1. Is f(n) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 330 divide 4837569?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 19596, 19700, 19882, 20148, 20504, 20956?\n\"Answer: c**3 + 33*c**2 - 2*c + 19564","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of -7*(-2 + 1) + (110 - -8638)?\nAnswer: 5, 17, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*i - 2*b + 0*b - 30 = 0, 0 = 3*i + 3*b + 27. Let u(t) = -44*t + 10. Let g be u(i). Suppose -2168 - g = -6*k. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1 in 1, 0.3, -886345?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Are -11376 and -11978 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Convert -1121202 (base 3) to base 10.\nAnswer: -1181","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 5677d2 - 5?\nAnswer: 5677cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Round -30.57666 to two decimal places.\nAnswer: -30.58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*b - 59 = -19. Let m = b - 16. Suppose 0*t + 2*u = -m*t + 498, 0 = -2*t + 4*u + 274. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(n) = n + 2. Let o be g(0). Suppose -2*j - 5*r - 4 = 0, 4*j - 2*r - o*r = 20. Solve 2*u + 7 + j = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 79, 1, -475 in ascending order.\nAnswer: -475, 1, 79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 1379*s - 1020*s = 2045*s + 3533*s + 104380 for s.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Put 4\/45, -237, -0.2, -3, 1\/86 in descending order.\nAnswer: 4\/45, 1\/86, -0.2, -3, -237","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is next in 44279, 44151, 44025, 43901?\nAnswer: 43779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -28 + 92 = 13*p - 53. Solve 24 - p = -3*h + 4*o, 4*h + 20 = 5*o for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be 390\/9*24\/20. Let y = -29 + g. Suppose -2*i + 71 - y = 0. Does 8 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(p) = -p + 12. Let z = 9 - 3. Let r be u(z). Solve -c + 5*j = -8, 6 = c + 2*j - r*j for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1081 + 12757 + k**2 - 21751 - 19681 - 22552.\nAnswer: k**2 - 50146","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let g be (20\/60)\/(-1 - 273\/(-270)). Let k be (g\/(-105))\/(5\/((-70)\/4)). What is the closest to -0.1 in k, 5, -3\/2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -1549 + 1551. Suppose 0 = 4*i + r - 12 + 4, 7 = -3*i - 4*r. Find the third derivative of -7*d**q + 6*d**6 - d**i - 14*d**6 + d**3 wrt d.\nAnswer: -960*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-11*v - 22*v + 21*v)*(48*v - 1 - 107*v - 22*v)*(-5*v + 5*v - v).\nAnswer: -972*v**3 - 12*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) = 26*g**3 - 3312*g**2 + 228528*g - 7. Let u(l) = -18*l**3 + 2208*l**2 - 152352*l + 5. Let w(t) = 5*q(t) + 7*u(t). Factor w(h).\nAnswer: 4*h*(h - 138)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: 240.47 times -1\nAnswer: -240.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 620 minutes after 10:20 PM?\nAnswer: 8:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let q = 1.99 + -0.99. What is the closest to q in 2, 5, -0.2, -34?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 588 and 3983602.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate 30\/(-4)*16*(-8)\/(-160).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 3*d**5 + 478*d**2 - 2*d + 562?\nAnswer: 60*d**3 + 956","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 68158387.\nAnswer: 11, 1093, 5669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let d be -11 - (-785)\/60 - (-2 + 50\/24). Suppose -2*z - g + 19 = -20, z - 22 = 2*g. Let w be z\/(-15)*(-15)\/d. 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 x be (-66)\/15*(1 - 6). Suppose -4*l + x = -3*l. Let r = l - 11. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -16 - -21. Let a be 2\/k + (-8)\/(-5). Solve 0*r = r - a for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 450432903 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -11 (base 15) in base 2?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q(m) = -18*m**3 + 89*m**2 + 213*m - 319. Let i(w) = -46*w**3 + 222*w**2 + 532*w - 798. Let d(j) = 7*i(j) - 18*q(j). Factor d(b).\nAnswer: 2*(b - 26)*(b - 1)*(b + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(j) = -j**3 - 5. Suppose -5*y - 9 = 6. Let f = y + 3. Give c(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify d**(-5\/4)\/(d**(2\/27)\/d)*d**(-1\/5)\/(d*d**(-1)) assuming d is positive.\nAnswer: d**(-283\/540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let l = 72 - 74. Let a(u) = 3*u**3 - 4*u + 13. Let q(d) = d**3 - 2*d + 6. Determine l*a(v) + 5*q(v).\nAnswer: -v**3 - 2*v + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2716768?\nAnswer: 2, 73, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-36 - -53) + 31 - 35.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-1)\/(((-4)\/(-6))\/((-8)\/6)). Find f, given that 8*f**2 + 185*f - 177*f + 12*f**b = 0.\nAnswer: -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 346705 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let -56*l**2 - 17*l**4 - 18*l**3 - 15*l**4 - 11*l**4 + 42*l**4 = 0. Calculate l.\nAnswer: -14, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*d**2 + d**2 - 4*d**2)*(3 + 6*d**3 - 3) + 46*d**5 - 81*d**5 - 129*d**5.\nAnswer: -170*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 475371, 475367, 475353, 475323, 475271, 475191?\n\"Answer: -i**3 + i**2 + 475371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 230243423?\nAnswer: 67, 283, 12143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let u = 13 - 18. Let t(l) = -l**2 - 7*l - 7. Let q be t(u). Suppose -q*g - 2*m + 3*m = -27, 3*m + 18 = 2*g. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -2*o + 24*o - 9*o**3 + 13*o**3 + o**2 + o**2 in the form y*o**3 + c*o**2 + s + w*o and give w.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let c(u) = -8*u**2 + 8*u + 4. Let p(j) = 7*j**2 - 7*j - 4. Let b(m) = 4*c(m) + 5*p(m). Let d be b(-1). Suppose -58 - 86 = -d*n. Is n a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 215247942?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -145\/228 and 77\/4172571?\nAnswer: 16690284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let d(r) = 5*r**4 - 4*r**3 - 4*r**2. Let k(m) = -4*m**4 + 5*m**3 + 5*m**2 - 1. Let w(h) = 5*d(h) + 4*k(h). What is the first derivative of w(b) wrt b?\nAnswer: 36*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence huqh when four letters picked without replacement from uhqqhhqeuuh?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let f(g) be the second derivative of -5*g**6\/12 - g**5\/2 + 3*g**4\/4 - g**3\/3 - 3*g**2\/2 + 9*g. Let b(j) be the first derivative of f(j). Factor b(w).\nAnswer: -2*(w + 1)*(5*w - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -g - 5*g = 29542 - 29284 for g.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let f be (150\/22 - 1) + 66\/363. Calculate the highest common factor of f and 78.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*j + 5*b + 177 = 0, -4*j - 2*b + 267 = -27. What is the third smallest value in -1\/2, -2\/19, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 3177, 5773, 8357, 10929?\n\"Answer: -6*r**2 + 2614*r + 569","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -130432756 + 6?\nAnswer: -130432750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -270, -2535, -8686, -20667, -40422, -69895, -111030?\n\"Answer: -324*y**3 + y**2 + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Round 6592.43 to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 45 is divided by 14\/35 + 114\/15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -179, 1, 2, 3, 0, 10, -10 in descending order.\nAnswer: 10, 3, 2, 1, 0, -10, -179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let m(h) = 7*h**2 + 6*h - 7. Suppose -3*l + 0*l + 9 = 0. Suppose g + 2*g = l. Let o(f) = f**2 + f - 1. What is g*m(a) - 6*o(a)?\nAnswer: a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ccssqssqcqsssqscq. Give prob of sequence ccqs.\nAnswer: 1\/119","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 415409 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 278632 and 240.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence mntz when four letters picked without replacement from {z: 3, n: 3, m: 1, g: 2, t: 1}?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*k**3\/11 - 187744*k**2\/11 + 4880330*k\/11 - 31719948\/11.\nAnswer: 2*(k - 93846)*(k - 13)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 2576 and 1708.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-21544 + -5)*11\/3. Let f = t - -479014. Let u be -3 + (0 + f)*3. Round u to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 96 is divided by 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -6b66 - 12?\nAnswer: -6b78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 7.7 bigger than 896587\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence mt when two letters picked without replacement from {l: 1, t: 1, i: 1, j: 1, m: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let w = -12.100087 - -12.1. What is w rounded to 5 dps?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 405?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Put -4, -11, -3, -1, 5 in ascending order.\nAnswer: -11, -4, -3, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is -135 minus -2548278?\nAnswer: 2548143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is -908998 smaller than -908997?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*s + 2*x - 3*x + 121 = 0, 3*s = -4*x - 67. Let a = s - -105. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*t**4 + 155060*t**3 - 620320*t**2.\nAnswer: 5*t**2*(t - 4)*(t + 31016)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let i = -13\/93 - -653\/5115. Which is smaller: -1 or i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 511 and -2.55936.\nAnswer: -1307.83296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*u - 70 = -12*u. Sort 0.1, u, 0 in ascending order.\nAnswer: 0, 0.1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(a) = a**2 - 7*a + 1. Let o be b(7). What is the closest to 2 in 1\/2, o, -1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 1, -0.2, -6\/5, -3, 0?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in twenty-one quarters of a minute?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 24228, 48575, 73046, 97641, 122360, 147203?\nAnswer: 172170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 258667 and 365338?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let i(m) = -2*m**3 + 50*m**2 - 173*m + 92. Determine i(21).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 256560 is divided by 93?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let g = -43 - -207. Suppose 0 = -31*q - 10*q + g. Solve i + q*u - 31 = -2*i, -4*i + 8 = -3*u for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(g) be the second derivative of -g**4\/72 - 7*g**3\/3 + 88*g**2\/3 - 1569*g - 3. Factor b(c).\nAnswer: -(c - 4)*(c + 88)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*b = -7*r + 4*r - 1128, 0 = 3*r - 3. Is b a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -11100010111 (base 2) in base 5?\nAnswer: -24230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 28.451 and 0.5?\nAnswer: 14.2255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: ((-3542)\/(-138))\/((-105)\/63)\nAnswer: -77\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 14 and 60416.\nAnswer: 422912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 9511937 is divided by 151.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 2241160 and 22360?\nAnswer: 1720","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let d(x) = -1381*x**3 + 2*x**2 - 2. Let b(t) = -81480*t**3 + 119*t**2 - 119. Give -4*b(f) + 238*d(f).\nAnswer: -2758*f**3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} {"text":"Question: Let t = -24664 - -76535. List the prime factors of t.\nAnswer: 51871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 l and 1 p when three letters picked without replacement from hhhhapxl.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -1 or 689504766?\nAnswer: 689504766","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 244 and 7930.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 710*k = 5*w - 20600, 3*w - 4979 + 4944 = k for k.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*i = p + 6, -2 = 4*i - 2*p - 0. Let r be (191\/(-3) + i)*3. Let k = -110 - r. What is the tens digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 14 - 9. Suppose 25 = 5*t + p*o, -3*t + 2*o = 2*t - 25. Solve -t*d = -2*c + 8, 4*d + 0*d - 20 = -5*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 39 divided by -68235?\nAnswer: -13\/22745","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*s + 5*n = -10, 4*s - 4*n + 137 - 169 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5 + 31 = -2*l. Let n = -8 - l. Calculate the smallest common multiple of n and 1\/(-1)*(0 + -3).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: 5243153 (base 7) to base 4\nAnswer: 2122130003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve x**5\/5 + 47*x**4\/5 + 87*x**3\/5 - 15403*x**2\/5 - 64148*x\/5 + 484416\/5 = 0 for x.\nAnswer: -29, -9, 4, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -0.6 or -172?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -48 - -49 - (1 + 0 + -4) - 29?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -114*b*h*z**3 + 2*b*h*z**2 - 7*b*z**3 + b*z**2 + 2*b*z - 18*b - 6*h*z**3 - h*z**2 + z**3 + 9*z wrt z.\nAnswer: -684*b*h - 42*b - 36*h + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 77 = -b + 4*d, 0 = 5*b - 5*d + 334 - 9. Which is smaller: b or -62?\nAnswer: -62","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*w**3 + 4 - 48*w**3 - 1 - 8 + 2*w**2 - 4*w**2.\nAnswer: -45*w**3 - 2*w**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let v = -1153347\/742168 + 6\/13253. Calculate the common denominator of v and -27\/16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -10935419*y + 21871775*y - 10936354*y.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 33\/4 and 31*7\/(1792\/(-12)).\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (248\/(-1850) - 220\/(-4070))\/(5\/(-25))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r**(-2\/7)*(r\/(r**(-2\/29)\/r))\/r*r)\/(r**(-2\/7)\/r**(-2\/67)) assuming r is positive.\nAnswer: r**(3962\/1943)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*k + 9*k + 11 = 694*a - 692*a, -3 = 3*k for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-60)\/(-70))\/((-9)\/(-84)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 2*l**2*o + 3*l**2*p - 25*l**2 - 7*l*p + 2*l - 16*o*p - 29*o wrt o.\nAnswer: 2*l**2 - 16*p - 29","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let b = 34 + -8. Suppose -b*q - 2030000 = -27*q. Round q to the nearest 100000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 680 minutes before 5:45 PM?\nAnswer: 6:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 1020839683 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Round 2.99714676 to one dp.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 79 + (38 - 21) + -53?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -76 (b) 0.2 (c) 32 (d) -2\/59 (e) -27 (f) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (2*f - 5*f + f)*(-f - f + 3*f) + (-2 - f + 2)*(8 - 3*f - 8) to the form g + j*f**2 + s*f and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let y(h) = 63*h - 3140. Give y(50).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Sort -6, 2, -8 in ascending order.\nAnswer: -8, -6, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: -2*84885\nAnswer: -169770","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 3553 a factor of 272896914?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:14 AM and 1:39 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: -10c8d (base 16) to base 6\nAnswer: -1250141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 159214 is divided by 39703?\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let v(c) = -c**3 + 4*c**2 + 2*c - 5. Let m be (-54)\/(-15) - (-6)\/15. What is v(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2\/7? (a) -0.3 (b) 99658 (c) -5 (d) 1\/16 (e) -3 (f) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let m be 2\/8*4\/10. Let u(f) be the first derivative of -m*f**2 - 3 + 2\/5*f - 1\/15*f**3. Factor u(v).\nAnswer: -(v - 1)*(v + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(h) = 2*h**2 + 34*h - 66. Let t be j(-24). Let c = -96 + t. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, -9, -4, 0 in decreasing order.\nAnswer: 0, -1, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 840 = -t - 4*t. What is t rounded to the nearest ten?\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 708475 - 303206. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 360 minutes before 8:00 AM?\nAnswer: 2:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -32, -24, -16, -8, 0, 8?\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -82420*d = -82220*d + 15600 for d.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(204)\/sqrt(12)*-2*-3)**2.\nAnswer: 612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((h**(-2\/23)\/h*h)\/(h\/(h**(-1\/2)*h*h*h)))\/((((((h*h\/((h\/((h\/h**(-1\/2))\/h*h))\/h))\/h)\/h*h)\/h)\/h)\/(h*h**(-2\/15))) assuming h is positive.\nAnswer: h**(614\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*q = -3*k + 29, 0*k - 3*k = -9. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 3\/5 (b) -31 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9 = 2*y - a + 1, 4*a - 16 = 4*y. Let q be (22\/y)\/((-1)\/(-9)). Let r = 65\/2 + q. Is r bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 7637 is divided by 4551?\nAnswer: 3086","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 54708890 to the nearest integer?\nAnswer: 7397","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 93268 and 634004.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 33505611602346 minus -2?\nAnswer: 33505611602348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let r(y) = 3*y**2 + 2*y - 1. Let b be r(-1). Suppose -7*f + 3*f + 96 = b. Calculate the remainder when 86 is divided by f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -29 - -4 - (-1 + -9 + (8 - 7) + 2).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 19\/4 of a microgram in nanograms?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n be 66\/15 + 6\/10. Let d(z) = z**2 - 5*z + 5. Let b be d(n). Suppose -2*k + 134 = -0*q + 2*q, k + b*q - 75 = 0. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {u: 2, d: 4, s: 3, p: 2, w: 1}. Give prob of sequence dppd.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let s = 2 - 0. Let g = -1.7 + s. Let t = -3\/10 - -4\/5. Sort g, t, -2\/9 in descending order.\nAnswer: t, g, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: ((168\/(-630))\/((-6)\/117))\/(((-78)\/(-60))\/13)\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-3)\/12 + (-28)\/16. Let y(r) = 8*r**2 + 5*r + 2. Let f(v) = 4*v**2 + 2*v + 1. Let i(w) = s*y(w) + 5*f(w). Differentiate i(d) with respect to d.\nAnswer: 8*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 19*i**3 - 77*i**3 + 537*i**3 - 793*i**3.\nAnswer: -314*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let q(l) = 3*l**3 - 8*l**2 - 6*l + 17. Let j be q(4). Suppose -33*y + 9 = -j. Determine t so that y*t**4 - 1\/2*t**2 - 3\/4*t**5 - 3\/4*t**3 + 0 + 0*t = 0.\nAnswer: -1\/3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 4020 and 1098465?\nAnswer: 1005","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 14 and (-1)\/(-5) - (-1 - 54\/5)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -24, 1, -58, -0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from iygypgpgyggii. What is prob of sequence gpp?\nAnswer: 5\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let w = -36475\/72 + 4556\/9. Which is the closest to -14\/3? (a) w (b) 0.31 (c) -0.5 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(f) be the first derivative of -4 - 1\/5*f + 0*f**2 + 1\/15*f**3. Solve p(h) = 0 for h.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 356655 and 295.\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let d = 1449.647 - 1449. What is d rounded to one decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 360876?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*i - n + 20 = -5*n, n = 1. Let j = -31 + 33. Calculate the smallest common multiple of i and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*v = -20 + 5. Suppose 2*b = 1 + v, -2*w + 4*b = -64. Suppose 2*h - 19 = -a, -3*h = 5*a - w - 8. What is the remainder when 25 is divided by h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from nnnjnnnnnnnnnjnjjnnj. Give prob of sequence jnnj.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {i: 1, n: 1, r: 2, l: 1, o: 1, c: 1}. Give prob of sequence nc.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Express -46 - 12453*v + 3671*v + 46 in the form q + h*v and give h.\nAnswer: -8782","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify 0 + 1*sqrt(3) + sqrt(9)\/sqrt(3)*-4.\nAnswer: -3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -27910, -55427, -82944, -110461, -137978, -165495?\nAnswer: -193012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 2*b**3*c**2 + 4071*b**3 + b**2*c**2 + 9*b*c**2 - 56*b wrt b.\nAnswer: 12*b*c**2 + 24426*b + 2*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let j be 2 + (42\/(-11) - -2). Let q = 187.14 - 185.14. What is the closest to j in 2\/11, q, -0.4, 4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(272) + -2)**2 - ((sqrt(17) - (-1 + sqrt(17) + 0)) + sqrt(17)).\nAnswer: -17*sqrt(17) + 275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let j(q) = 68*q**3 + 1760*q**2 - 179*q + 733. Calculate j(-26).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let q(w) = -w + 20. Let l be q(6). Suppose -4*m + l = -4*h + m, 4*h + 2*m = 0. Is ((-53)\/(-3))\/(h\/(-3)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((s**(-1)*s**11)\/(s**(-5\/9)*s*s*s**15))**50 assuming s is positive.\nAnswer: s**(-2900\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -7*(-140)\/126 + 4\/18.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Round 11870000 to the nearest one hundred thousand.\nAnswer: 11900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 524854 to the nearest integer?\nAnswer: 724","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let h = 4 - 11\/3. Let j = 3 - 4. Which is the closest to j? (a) h (b) -1 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 55863513?\nAnswer: 3, 17, 13523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 42, 44, 44, 42, 38?\n\"Answer: -z**2 + 5*z + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (p + 3*p - 3*p)*(0*p**3 + p**3 - 2*p**3) + 3*p**4 + 14*p**3 + 10*p**3 + 2*p**2 - 23*p**3.\nAnswer: 2*p**4 + p**3 + 2*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 2337907869?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 20319 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let l = -9 + 15. Suppose -87 = 6*i - 33. Let q be ((-9)\/30)\/(6*i\/30). What is the second smallest value in l, q, -2\/9?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -95890 (b) 7\/26 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let p(r) = 3*r**4 - 17*r**3 - 10*r - 261. Let s(t) = t**4 - 6*t**3 - 3*t - 87. Let w(b) = 6*p(b) - 17*s(b). What is the derivative of w(c) wrt c?\nAnswer: 4*c**3 - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be ((-6)\/(-8))\/((-15)\/(-40)). Suppose 0 = -b*s + 41 + 7. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -31*k = -134*k + 1407186. What are the prime factors of k?\nAnswer: 2, 3, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.1 * 0.029\nAnswer: 0.0029","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (16 - 20) + 2 + 2 - -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p(y) be the third derivative of y**5\/30 - 9*y**4\/8 - 179*y**3\/3 - y**2 + 17*y. Calculate the remainder when p(-14) is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Add 3 and 0.241467.\nAnswer: 3.241467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4\/(-16)*-56*(-6)\/105.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Put -74\/5, 6\/1025, 4 in descending order.\nAnswer: 4, 6\/1025, -74\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let z be (2\/(-30))\/(10\/60). Which is the closest to 44? (a) z (b) -3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -711, -5875, -19931, -47325, -92503, -159911, -253995, -379201?\nAnswer: -539975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.2069*-0.1.\nAnswer: -0.02069","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -k - 3*x - 15, 2*k - 3*x = -x + 10. Let q be 2\/(-2 - k\/(-6))*-5. Sort -4, 37, -1, q.\nAnswer: -4, -1, q, 37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(r) = 2*r**2 + 2*r + 2. Let g(m) = m**2 + 3*m + 2. Let x(l) = -3*g(l) + 2*w(l). Calculate the smallest common multiple of x(6) and 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1379 is divided by 58?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*a - 37 = 5*t, 5*t + 4*a = 2*a - 53. Let y = t + 17. Suppose -4*p - 12 = y. Let s(w) = -7*w + 6. Let v(c) = -c + 1. Determine p*v(g) + s(g).\nAnswer: -2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let a(r) = r**2 - 2*r + 3. Let z be a(2). Let c be ((-8)\/534)\/(2\/z). Let u = 99\/445 + c. What is the second biggest value in -6\/11, 1\/3, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*n + 7*n = -24. Let x be (-34)\/(-6) + n\/9. Suppose 0 = -x*a + 17 - 2. Is 3 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 449 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let r be ((-39)\/13)\/(1*(-1 - 0)). Suppose -4*m + 8*m - r*g = 126, -5*g + 10 = 0. What is the greatest common factor of m and 88?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be 0\/5 + (-3 - -5). Solve a*f = -0*f - o - 10, 3*o - 2 = 2*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -1 - -4. Let m = 390588 - 390587.2. Which is the second smallest value? (a) m (b) k (c) -1 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 7*r**3 + 1709986*r - 1709986*r.\nAnswer: 7*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 438466654 to the power of 1\/3, to the nearest integer?\nAnswer: 760","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1699, 1697, 1695, 1693?\nAnswer: 1691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Work out 44.4694 - 0.185.\nAnswer: 44.2844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((v*v**(-3\/2)*v)\/v**1*v\/(v**4\/v)*v**2)**(3\/32))**(1\/52) assuming v is positive.\nAnswer: v**(-3\/3328)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1578 = 5*v - 2*d, 0 = -4*v + 3*d - 694 - 560. Which is bigger: v or -319?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(i) = -38*i. Let n(m) = 11*m. Determine l(n(c)).\nAnswer: -418*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9 = -2*w - w, -4 = n + 3*w. Suppose n*i = 0, 3*i - 12 = -m + 2. What is the smallest common multiple of 10 and m?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 222, 793, 1754, 3111, 4870?\nAnswer: 7037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from kkmmkwgkmmmgkwkwkkk. Give prob of sequence kkmg.\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*x**2 + x - x + (x - 4*x + x)*(x + 2*x - x) - 12*x**2 + 4*x**2 + 1 + 7*x**2.\nAnswer: -7*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from joeejej. What is prob of sequence ee?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Put -2, -3, -7357 in decreasing order.\nAnswer: -2, -3, -7357","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let o(u) = -7*u. Let c(l) = 8*l. Let y = 7 - 13. Let z(d) = -d**3 - 7*d**2 - 6*d - 7. Let t be z(-6). Determine t*o(a) + y*c(a).\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Divide -5268 by -3.\nAnswer: 1756","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((m**(-2\/7)\/(m\/(m\/(m**(-1\/6)*m))))\/((m\/((m\/m**(-2\/3))\/m))\/m)**(-43))\/((m**(-1))**(4\/15))**(4\/25) assuming m is positive.\nAnswer: m**(-156151\/5250)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: 14529 divided by 167\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Put 3\/2, 1\/193, 1\/20, -9 in descending order.\nAnswer: 3\/2, 1\/20, 1\/193, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 22 at most as big as 91?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let y(v) = 186*v**2 - 1107*v - 54. Determine y(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 33 minutes before 5:22 AM?\nAnswer: 4:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 14096.\nAnswer: 2, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((1*sqrt(77)*4 - sqrt(77))*4*-2)\/((sqrt(700) + -2*sqrt(700)*3)*3) + 0.\nAnswer: 4*sqrt(11)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:43 PM and 9:43 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let q be (4 - 1) + (1 - 1). What is the first derivative of 7*d**q - d**3 - 4*d**3 - 4 + 3 wrt d?\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*h = -4*g - 18, -4*g + 5 = -h - 9*g for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*h + 3*h - 3*h)*(10*h + 2*h**4 + 11*h**2 - 11*h**2).\nAnswer: -4*h**5 - 20*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 p and 1 x when four letters picked without replacement from {p: 11, x: 2}.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-84)\/(-18)*(-168)\/(-98)*1.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 0 divided by -545921?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let j = -0.8 - 3.2. Let t(s) = s**2 - 29*s - 30. Let f be t(30). What is the closest to -2\/7 in -1\/2, f, j?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 0.3 + 0.7. Suppose -3*i - 4*h - 12 = 0, 0 = 3*i - 4*h + h - 9. Let p be (6 + i)*(-20)\/210. Which is the closest to g? (a) -0.3 (b) -5 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 j and 2 k when four letters picked without replacement from jjjkjkkjjk?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 1259 + 1156?\nAnswer: 2404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n**(-3))**(-4\/15)*n**(-21)\/(n\/n**(2\/3)) assuming n is positive.\nAnswer: n**(-308\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 0.15 minus 31023219?\nAnswer: -31023218.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, -8, 4.\nAnswer: -8, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let f(o) = 2*o**3 - 5*o**2 + 4*o - 2. What is the tens digit of f(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from zlegdegdddeeele. What is prob of picking 1 z and 1 g?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*s - 380 = -4*z, z + 2*s - 52 = 43. Suppose -k = 4*k - 5*l - z, 0 = 2*k - 5*l - 47. Factor 0*q**3 + 2 + 14*q**2 + 12*q**2 - k*q - 12*q**3 + 0*q**3.\nAnswer: -2*(q - 1)**2*(6*q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-1)\/(2\/(-6)) - -1. Let n(o) = 4*o**2 - 4*o - 5. Let f(p) = -6*p + 3*p - 4 + 2*p - 2*p + 3*p**2. What is b*n(z) - 5*f(z)?\nAnswer: z**2 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 14 a factor of 3021?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 29 a factor of 413134?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let z = -29.5591 + 29.81. Let u = z + -0.1146. Round u to 2 decimal places.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 576 minutes before 11:43 AM?\nAnswer: 2:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -130 - -6230?\nAnswer: 6100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (29 + -119862)\/(-19) + 18\/2?\nAnswer: 2, 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12*t = -0*t - 1068. Is 9 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 16 divide 1130?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Determine g so that -g**4 - 232*g**3\/3 = 0.\nAnswer: -232\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {r: 2, z: 1, s: 1, y: 4}. What is prob of sequence zr?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u*u**(7\/6))**(1\/57) assuming u is positive.\nAnswer: u**(13\/342)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 861 is divided by 287.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is next in 70, 73, 86, 115, 166, 245, 358?\nAnswer: 511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 49 - ((29 - 108) + 142)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*k**2 - 65970*k\/11 - 23992\/11.\nAnswer: 2*(k - 2999)*(11*k + 4)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -373*u + 379*u + 36 = 0 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 22.3 plus -2406?\nAnswer: -2383.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let y = 1628 - 1108. Suppose 0 = -38*r + 33*r + y. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from vvufuvvvvuuvfuvvuu. What is prob of sequence vuv?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 148 = 4*o + 2*l - 4, 0 = -3*o - 2*l + 113. Calculate the remainder when o is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1541979.295 rounded to the nearest ten?\nAnswer: 1541980","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Does 781 divide 615428?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-1548)\/100 + 15)*(6\/(-9) + -1).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 434 - 419 = -102*v - 3242 - 313 for v.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let r = 212 - 367. Let u = -154.99937 - r. What is u rounded to 4 decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2 at most as big as -1767\/3413?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from {w: 2, g: 2, r: 2, d: 5, j: 1, y: 1}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose y - 4*u + 13 = -u, 2*y - 3*u + 11 = 0. Let r(x) = -x + 13. Let z be r(11). Let n(m) = -y + z - 2*m. Let a(i) = -3*i**2. Give n(a(f)).\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1503301 is divided by 185?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let b(w) be the first derivative of 13\/3*w**3 + 14 - 9*w - w**2. Is b(4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*y - 37 + 29 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 21\/5060 and -19\/4140.\nAnswer: 45540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Put 5, 99, 1 in decreasing order.\nAnswer: 99, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -1302332221 + -2?\nAnswer: -1302332223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose v = -3*n + 2, 0 = n + 2*n. Let w be (-3 + v - -2)*0. Solve w*u - 16 = -4*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor m**3 + 3*m**3 + 14*m**4 + 25*m**5 - 34*m**4.\nAnswer: m**3*(5*m - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(b) = 193*b + 1355. Let i be h(-7). Solve -i*r = -17*r - 0*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -132, -138, -154, -186, -240, -322, -438?\n\"Answer: -x**3 + x**2 - 2*x - 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (4 - (58 - 35)) + (64 - 20).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x(d) be the third derivative of -19*d**4\/12 + 73*d**2. Let q(j) = -j. Calculate x(q(h)).\nAnswer: 38*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -12874, -50616, -113224, -200698, -313038, -450244, -612316?\n\"Answer: -12433*p**2 - 443*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 45841 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let w(r) = 1 + r + 3 + 7. Let c = 11409 - 11416. Calculate w(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-1063)\/(-5) - (4 - 66\/15). Let n = 328 - u. What is n rounded to the nearest ten?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 17439.597 + -17450. Let k = l + 9.88. Round k to 1 decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -37\/255 and -23\/102.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*g = -3*r - 9, -g + 817 = 818 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let f(a) = 2 - 1 + 5*a - 4*a - 2. Let g(v) = 2*v - 1. Give 2*f(l) - 2*g(l).\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 66*p - 66*p + p**2 + 1 + p**2 + 2*p**3 to a*p**3 + n*p + g + s*p**2 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let m(a) = -11*a**3 + 15*a**2 + 13*a + 12. Let c(v) = 5*v**3 - 7*v**2 - 6*v - 6. Let q(b) = -13*c(b) - 6*m(b). Let x = -11 - -11. Determine q(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -5 (b) 2 (c) -2\/5 (d) -1 (e) 6328 (f) -0.11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 1\/160 and 79\/70.\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose w + 4*w + 845 = 0. Let t = 108 + w. Let m = -12 - t. Calculate the greatest common factor of 7 and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 8457772329 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -19 + 1095*s + 1034*s - 2064*s to n*s + z and give n.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate 14\/(-1)*(128\/(-56))\/4.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 2\/3 (b) 30 (c) 0.13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 76777?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 31*f = -17*f + 720. Sort 1\/2, f, -3, 5 in increasing order.\nAnswer: -3, 1\/2, 5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be 2\/(-6)*2*-1. Let t = -13.582 + 0.182. Let g = t - -13. Which is bigger: r or g?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 426 (base 11) in base 13?\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 8456*m - 278110 - 72169 = 171780 + 501117 for m.\nAnswer: 121","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let j(c) = c**2 + c. Let q be j(-1). Suppose -d - 4*d + 20 = q. What is the third derivative of 2*i**2 - 10 + d*i**5 + 10 + 0*i**2 wrt i?\nAnswer: 240*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -3*h - 2*g - 1 - 0, -13*h + 9*g - 4 = -16*h + 2 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let v(x) = -x**3 + 8*x**2 - 8*x + 9. Let s be v(7). Suppose s*z + 110 = 4*z. Does 5 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:07 AM and 6:08 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -10*z**2 + 2667599*z + 10077942 wrt z.\nAnswer: -20*z + 2667599","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify k\/(k**(-1\/42)\/k)*k**21*(k**(2\/15))**(5\/6) assuming k is positive.\nAnswer: k**(2915\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.2 and -17.9.\nAnswer: 3.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 507996 is divided by 500?\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: 125 divided by 188098\nAnswer: 125\/188098","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:11 PM and 6:22 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 10\/(-4)*-2 - 498\/83?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 22*g**3 + 221*g**3 - 96*g**3.\nAnswer: 147*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 8092 and 18.\nAnswer: 72828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let s = -54 + 31. Let h = -21 - s. What is the third derivative of -q**h + 12*q**3 - 5*q**2 + 4*q**2 + 4*q**2 wrt q?\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 10*l**2 - 36*l**2 + 9*l**2 + (-6 - 2*l - 14 + 18)*(3 - 2*l - 3) + 2*l**2 - 3*l**2 - 3*l**2 to b + k*l**2 + i*l and give k.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 943 is divided by 18.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 116624066?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -1164*w + 28007 + 92317 = 462*w for w.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let a = -29.3 + 4.3. Let h = a - -25.26. Let l = h - 0.25948. What is l rounded to 4 decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2 + 248\/(-16) + 18.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let u(t) = t**3 + 37*t**2 + 38*t + 58. Determine u(-36).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4 + (sqrt(91) - (5*(2*sqrt(91) - sqrt(91) - sqrt(91)) - sqrt(91)) - 2*sqrt(91)*2)\/(1*(sqrt(7) + -1*sqrt(448) + sqrt(567)*-1)).\nAnswer: sqrt(13)\/8 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -106*d + 195*d - 82 + 82 - 90*d.\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-44)\/55 + 99\/5. Suppose -18 = -2*u + 3*k - 1, -2*k = u - t. Suppose 565 = 2*c - u. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 587*n**4 + 427100*n**3 - 3*n + 5110321.\nAnswer: 7044*n**2 + 2562600*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let z(t) = -t**3 + 6*t**2 - t - 17. Let j be z(5). Solve 0 = -7*k + 3*k - j*f - 7, 13 = -k - 3*f for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 338734 a multiple of 178?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*h + 4*l - 86155 = 9*l, 3*l = 18. Does 74 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*h = 2*p - 8, 2*h + 5*p - 31 = -11. Suppose h = 3*x - 4*x + s + 14, -x = 2*s - 2. List the prime factors of x.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 1 * -97.557.\nAnswer: -97.557","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 23714*a**3 + 728*a**2 - a - 7 wrt a.\nAnswer: 142284","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Does 57 divide 1140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 36 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: 3212021 (base 4) to base 5\nAnswer: 432404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Determine d so that 2*d**2\/3 - 26238028*d\/3 + 26238026\/3 = 0.\nAnswer: 1, 13119013","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*y + a + 300 = -352, -y + 312 = -4*a. Calculate the highest common factor of 41 and y.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is three fifths of a millisecond in microseconds?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: (-37323)\/(-2233) + 48\/21\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 14*z**2 - 180*z?\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let z = 3470 - 93704\/27. Calculate the common denominator of z and -91\/54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(204)\/(sqrt(486) - 2*sqrt(486)))\/((5*sqrt(4)*-2)\/sqrt(2)) + 3 + 5.\nAnswer: sqrt(17)\/90 + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: 1 times -320506\nAnswer: -320506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let g be 2\/(-5) + (-22)\/20. Let i = -0.102 - -0.1. Let m = i + 0.202. Sort 4, m, g in increasing order.\nAnswer: g, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Find k such that 32*k**3\/13 + 316240*k**2\/13 + 718640450*k\/13 - 315648918750\/13 = 0.\nAnswer: -20515\/4, 375","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, 131, -6 in decreasing order.\nAnswer: 131, 5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 0 - (-7)\/(21\/9) - -12.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(540) - (sqrt(540)*2 - sqrt(540)))*-3)\/(6*(sqrt(180)\/sqrt(6))\/sqrt(10)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let w(q) be the first derivative of -q**3\/3 + 5*q**2\/2 + 73. Let j = 78 - 113. Let g = j - -38. Calculate w(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1689 is divided by 77.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate (530\/159)\/((-5)\/3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 19 in 42, 4020, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Express (0 + 0 + r**4)*((2 - 4 + 6)*(4 - 3 + 1) + (-2 + 5 - 1)*(-2 + 5 - 2) + 5 - 2 - 2 + 0 + 4 - 5) as z*r + k*r**2 + y*r**3 + d + q*r**4 and give q.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let s = -876838 - -584138. What is s rounded to the nearest ten thousand?\nAnswer: -290000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} {"text":"Question: Let t = 2268873.8448 + -2271243. Let v = t + 2452.17. Let y = -83 + v. Round y to 3 decimal places.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -17 - (8 - (1 + 6)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 31461?\nAnswer: 3, 10487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 - 4*d + 5*d - 2*d)*(-4 - 1 + 0).\nAnswer: 5*d - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many meters are there in 56220.57 kilometers?\nAnswer: 56220570","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Factor 46*l - 7*l + 11*l + 5*l**2 + 125.\nAnswer: 5*(l + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.1 in -1\/6, 5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let z(x) = -7*x. Let r(f) be the second derivative of 4*f**3\/3 - f. Let n = -1 + 3. Let d be 1*14\/(-2) + n. Determine d*r(u) - 6*z(u).\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*h**2 - 4*h + 4*h - 2*h**2 + 4 - 4 + (0*h + 0*h - 2*h)*(3*h + 2*h - 3*h).\nAnswer: -8*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Convert 0 (base 11) to base 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert -29 (base 16) to base 6.\nAnswer: -105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16*i + 24 = 22*i. Suppose 2*t + 2 = 4*p - 4, -10 = -2*t - i*p. Calculate the greatest common divisor of t and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -9158 - 9461 + 18619 + 268*h.\nAnswer: 268*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2898741?\nAnswer: 3, 41, 23567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 986121586?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 y, 1 q, and 1 w when four letters picked without replacement from qywwfyigggwg?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 439 minutes before 1:10 PM?\nAnswer: 5:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Divide -334477 by 2.\nAnswer: -334477\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let h(m) be the third derivative of -1\/6*m**4 + 0 + 11\/20*m**5 - 1\/2*m**3 + 0*m - 3*m**2. List the prime factors of h(-2).\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 168*j + 172*j + 140*j - 483*j.\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Put 4\/7, -5, 4, 291250, 3, 2\/19 in decreasing order.\nAnswer: 291250, 4, 3, 4\/7, 2\/19, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Does 4 divide 3677?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u**(3\/2)\/u)\/((u**(-5)*u*u*u)\/u)*u**(-3\/8)*u**(-13) assuming u is positive.\nAnswer: u**(-79\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let i(a) = 8*a**2 - 5*a + 5. Let g(t) = 15*t**2 - 9*t + 9. What is 5*g(y) - 9*i(y)?\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is next in 55444, 110861, 166278?\nAnswer: 221695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let a(h) = -13*h. Calculate a(1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-58)\/609)\/((-3)\/18).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*r = -5*q + 6166, 23*q - 5*r = 24*q - 1250. Is 30 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 358365430?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let m = -1665\/8 + 203. Let u = -911 - -4534\/5. What is the common denominator of m and u?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(o) be the second derivative of -o**4\/12 + o**3 - o**2\/2 + 5*o. Let c be -3 + 8 + -4 + 2. Let w be u(c). Calculate the greatest common factor of 12 and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0000751902 rounded to seven dps?\nAnswer: -0.0000752","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 145226 + 114?\nAnswer: 145343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*a = i + 223 - 1453, 2*a - 4*i + 510 = 0. Let g = a + 380. Calculate the remainder when g is divided by 46.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence mcm when three letters picked without replacement from {m: 3, c: 4}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let i = -5218 + 5229. Let a(m) = -16*m**3 - 16*m**2 + 11*m - 45. Let k(y) = -3*y**3 - 3*y**2 + 2*y - 9. What is i*k(f) - 2*a(f)?\nAnswer: -f**3 - f**2 - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let q = 541 - 531. Solve 9*z + z = -q for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -11 - (20 + 100\/(-10) + -4).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*o**2 - 15 + 15 + (o**2 + 4*o - 4*o)*(-3 - 1 + 7))*(4*o + 16*o - 8*o).\nAnswer: -12*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let q = 0.03 - -0.07. Let s = q + -0.2. Which is the nearest to s? (a) -5 (b) -2\/7 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(q) = -4*q**2. Let k = 338 + -336. Let z(b) be the second derivative of 0 + 10*b + 0*b**k - 1\/6*b**3. Determine n(z(u)).\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let f be 30\/(-36)*2*15. Calculate the remainder when (36 - 0)\/((-2)\/(-3)) is divided by 45\/f - 158\/(-10).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*p - i + 72040 = 0, 96064 = 4*p + 110*i - 106*i. List the prime factors of p.\nAnswer: 2, 3, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 1 - 1 + 4*z + (-25 - 16 - 12)*(0*z + 0*z - z)*(0 + 2 - 3) to k*z + q and give k.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Convert 3 (base 4) to base 2.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t(f) = 13*f**3 + 6*f**2 + 64*f - 6. Let g(b) = 37*b**3 + 17*b**2 + 191*b - 17. Let d(q) = -6*g(q) + 17*t(q). Find the second derivative of d(s) wrt s.\nAnswer: -6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 89 - 79. What is the third biggest value in 3\/4, 1\/4, v?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -27 - (10 - ((-2 - -21) + -29 + 21)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 2002 (base 7) in base 11?\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1673733508.\nAnswer: 2, 127, 3294751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {h: 2, t: 6}. What is prob of picking 1 h and 3 t?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Divide -796035 by -796035.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Convert 13 (base 12) to base 6.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 q and 1 u when three letters picked without replacement from {q: 2, j: 2, l: 1, o: 1, i: 1, u: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {l: 2, j: 5}. Give prob of sequence ljlj.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ppippppppipipp. Give prob of picking 3 i.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let k(z) = -5*z**3 + 7*z**2 + 2*z. Let w(v) = -6*v**3 + 8*v**2 + v + 1. Let y(q) = -5*k(q) + 4*w(q). Is 6 a factor of y(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 137 - -71344?\nAnswer: 71503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Does 7 divide 30968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Express 9 - 19 - 10*k**3 + 20*k**3 + 2*k**2 - 9*k**3 - 38*k + 9 as g*k**2 + l*k**3 + z + j*k and give j.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -57*l**3\/7 - 218*l**2\/7 - 131*l\/7 + 30\/7 = 0. Calculate l.\nAnswer: -3, -1, 10\/57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -4 + 1424433?\nAnswer: 1424424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 2117 and 73.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -50408 divided by 8?\nAnswer: -6301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*b + 6*i = 3*i + 63, 0 = 2*i - 2. Solve -b = 2*s + 3*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 106 by -646.\nAnswer: -53\/323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -223 (base 6) in base 3?\nAnswer: -10020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o = -79 + 123. Let n = o + -39. Let c(k) = 6*k**2 - 3*k. Let g be c(1). Is n at most as big as g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((6*(sqrt(2057) + (sqrt(2057)*-2 - sqrt(2057))) - sqrt(2057)) + -4 + 3 + -1*(-4 + sqrt(2057)*2 + -3))**2.\nAnswer: -1980*sqrt(17) + 462861","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: ((-25)\/20 - 2\/(-8))*-8\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -12*p**4 - 2*p + 15*p**4 + 8*p wrt p?\nAnswer: 36*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be 1\/3 - ((-39)\/(-9) - 6). Suppose 2*r - 12 = 2. Solve 1 + r = -j*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 29610549 or 29610516?\nAnswer: 29610516","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand 4281*k**4 - 4281*k**4 + 539*k**5 + (-2*k**2 + 2*k**2 - 2*k**3)*(-2*k**2 + 3*k**2 - 3*k**2).\nAnswer: 543*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate (2 - 6) + (-43 - -44) - (-7 + -2).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 41 and 10457173.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -23, -37, -53, -65, -67?\n\"Answer: a**3 - 7*a**2 - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5*n**3 + 213*n - 106*n - 107*n.\nAnswer: 5*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate (8 - 4 - (0 - 3)) + 0 + -9.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: -28*45*59\/(-6372)\nAnswer: 35\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-2 - (-122)\/70) + (-66)\/462?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ssyy when four letters picked without replacement from {s: 11, y: 9}.\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2 in 11\/2, 0.4, -1\/2, -6\/7, -2\/107?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*t + 5841*y - 5836*y - 80 = 0, -y + 16 = 3*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let r = 10\/39 - 103\/351. Which is bigger: r or -1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ryycdyayyycyyyyayyd. Give prob of picking 1 c and 1 y.\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let j = 0.11081 + -0.11081. Which is the nearest to -1? (a) 3\/2 (b) -2\/7 (c) j (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence tto when three letters picked without replacement from lteoiet.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5 + -4*sqrt(13))**2 - (5 + sqrt(52) + sqrt(13)).\nAnswer: 37*sqrt(13) + 228","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Factor j**2\/5 - 6359*j + 984684\/5.\nAnswer: (j - 31764)*(j - 31)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 17120 is divided by 1710.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 3\/7 (b) 9 (c) 62 (d) 179\/7 (e) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: -10 - -5 - ((0 - -2) + 4 + 1)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -594300456*o**3 + 13*o**2 - 41789*o - 4?\nAnswer: -3565802736","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 20, 32, 52, 80, 116, 160?\nAnswer: 212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13364 = -58*f + 19058. Calculate the remainder when f is divided by 114.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(b) be the first derivative of -77*b**4\/4 + 2*b**2 - 51. What is the second derivative of o(y) wrt y?\nAnswer: -462*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -1635472*b**2*n**2*p - b**2*n*p + 2608618*n**2*p - n*p wrt b.\nAnswer: -3270944*b*n**2*p - 2*b*n*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let v(d) = 1031*d - 1991*d - 193 + 993*d. Let b be v(6). Put b, 3, 13 in increasing order.\nAnswer: 3, b, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be ((-3)\/(-6) + -1)*0. Suppose 2*s - 16 = -4*u, 5*u + g*s = -2*s + 20. Calculate the remainder when 6 is divided by u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -3\/2*p**3 + 62 - 185*p**2 + 249\/2*p.\nAnswer: -(p - 1)*(p + 124)*(3*p + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: 14452 (base 7) to base 6\nAnswer: 30314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -5b5885 (base 15) in base 13?\nAnswer: -ba1310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-2)\/(-4) + 8\/(48\/51). List the prime factors of (-38258)\/(-55) + n\/(-15).\nAnswer: 5, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be (18\/7)\/((-5)\/(-35)). Let r = l - 20. What is the units digit of 5*(3 + r) + -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -340 + 343. Let s = -4.7 + 0.7. What is the closest to -2\/5 in s, u, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: 6 + 3 + -5 + -11 + (-42 - -54)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.11? (a) 0.5 (b) -3\/8 (c) -3 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -1.1711511 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let g(y) = y**2 - 15*y + 10. Let c be g(15). Suppose c*b + 12 = 14*b. Suppose 0*v - 1407 = -3*d - 2*v, v = b. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 44*t - 566 = -346 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let p = 279 + -270. Let s(u) = u**2 - 3*u - 51. Let o be s(p). Solve o = m - z, -4*m + z + 4*z + 15 = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: -27.3759 - -5\nAnswer: -22.3759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 743819 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 218692930?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-26)\/13 - (0 - 21). Suppose 4*z - 23*c - 1860 = -a*c, 5*z + 5*c = 2375. What is z rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:59 AM and 8:32 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -731*k**4 + 65*k + 4 wrt k?\nAnswer: -8772*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is next in 80721, 161453, 242185, 322917, 403649?\nAnswer: 484381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -2*f**4*q**3 - 2*f**4*q - 14*f**3*q + 342*f**2*q - q**3 wrt f?\nAnswer: -48*f*q**3 - 48*f*q - 84*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*h - 10*h + 5257. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 6667284.\nAnswer: 2, 3, 13, 79, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let f = -38 + 33. Let h be 3\/6*f\/((-10)\/8). Which is the nearest to h? (a) -5\/3 (b) 5 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 368*r - 663*r = 1198*r - 11511 - 95985 for r.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -0.5 (b) 326.7 (c) -18 (d) 1\/6 (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Product of 2640339 and 2.\nAnswer: 5280678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let b = -195.82 + 0.82. Let c = b + 195.587. What is c rounded to two decimal places?\nAnswer: 0.59","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 84*o - 2376 = 228. Solve 9*p = -13 + o for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 187 a factor of 7326286?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Does 19 divide 646?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -119, -263, -465, -755, -1163, -1719?\n\"Answer: -5*z**3 + z**2 - 112*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 218039 is divided by 2506.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let d = 17414 + -17409. What is the third smallest value in -2\/7, 1\/2, 2\/3, d, 2\/5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 403029 - 1061173.4.\nAnswer: -658144.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -197, -400, -599, -794, -985?\n\"Answer: 2*j**2 - 209*j + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -6*z - 136 + 124 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 132 and 75402536?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -13\/24 and -61\/36.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let k = 19 - -3. Calculate the greatest common factor of k and 110.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*n**2\/3 + 9239*n\/6 - 2309\/2.\nAnswer: -(n - 2309)*(4*n - 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*h - h = -90. Let g be -14 - (1 - 3 - -4). Let p = g - -28. Calculate the greatest common factor of h and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2\/1555 in 3\/7, 2, -1, -45?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Divide 24982542 by 3987.\nAnswer: 6266","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -2624*q**3 + 3834*q - 2339*q**3 - 1509*q**3 - 3720*q**3 + 836*q**3 wrt q?\nAnswer: -56136*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 40 + -40. Which is the closest to y? (a) -3 (b) 1\/2 (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -1\/2 (b) 0.1 (c) 0.3 (d) -12 (e) -19\/75\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let r(b) = -50858*b + 305141. What is r(6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1039 is divided by 14.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*i + 1 = -2*p - 3*p, 0 = 2*i - 2*p - 2. Let a(d) = -14*d**2 - 153*d - 243. Let l be a(-2). Solve -2*b = -4*t + 12, -i*b + 24 = -2*t + l*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from kqkkkkkqkk. What is prob of sequence kk?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: 1405317 divided by -48\nAnswer: -468439\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*z + 4*u = 6375, 6380 = 7*z - 2*z + 5*u. Let b(j) = -j**3 - 33*j**2 - 34*j - 59. Let k be b(-32). Suppose k*s = 404 + z. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(l) = l. Suppose -38 = 3*b - 67 + 38. Let s(j) = -3*j**3 + 16*j - 5. Let c(m) = -m**3 + 8*m - 2. Let w(n) = -10*c(n) + 4*s(n). What is b*w(i) - 48*o(i)?\nAnswer: 6*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 1301 - 1344113?\nAnswer: -1342312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*c - 10 = -5*c. Let j be 27\/15 - (-1)\/c*1. Factor 2\/9*i**j + 2\/9*i + 0.\nAnswer: 2*i*(i + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1194 is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Round 18.004596 to three decimal places.\nAnswer: 18.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Convert 343.366kg to nanograms.\nAnswer: 343366000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) = u**3 - 11*u**2 + 5*u + 59. Let n be r(10). Suppose 0 = l - p - 0*p - 16, -3*p + 24 = 3*l. Solve -x - 3*f = l, -4*f - n = x + 7 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3*(2*(sqrt(153) - (sqrt(153) - 1*sqrt(153)*-4)) + -3 + -3*1*sqrt(153)))**2*-4.\nAnswer: -666792 - 7128*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} {"text":"Question: Collect the terms in y + 3362 - 8*y + 9*y - 20738.\nAnswer: 2*y - 17376","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {n: 7, x: 2, y: 3, r: 5, h: 2, f: 1}. Give prob of sequence hn.\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let g(b) = -b**3 - 7*b**2 - 12*b - 4. Let x be g(-6). Suppose 0*u + 4*u - x = 0. Is 6 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*y + 8*y - 15 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let n = 1.27 + -2.93. Let z = -0.06 - n. Which is smaller: 0 or z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 443341 is divided by 176.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let f(w) be the third derivative of -49*w**4\/24 - 34*w**3\/3 + 2*w**2 + 18. Is 16 a factor of f(-20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(u) = 12*u + 123. Let p be j(-32). Let y = -257 - p. Let w = 31 - 15. Solve 2*g = 4*f - 28, -y*f + 3*g + w = -16 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from jjoojojoooojj. What is prob of picking 1 o and 1 j?\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let a = -12051 - -12050.9999992771. Round a to 7 decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 3716236?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*n + 4*v + 8 = -0*v, 0 = -5*n + 5*v - 35. Let o(j) = 65*j**3 - 5*j + 10. Let i be o(n). Round i to the nearest one hundred.\nAnswer: -4100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {x: 4, l: 3}. What is prob of picking 2 x?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 807*b + 680*b + 109 - 109.\nAnswer: 1487*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 46572690 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*z + 2 - 41. Suppose z*v - 8*v = 100. What are the prime factors of v?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 12 and 138.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -113, -894, -3017, -7154, -13977, -24158?\nAnswer: -38369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 3 - 3)*(7*p**3 - 11*p**2 + 11*p**2) + (7*p - 3*p + 13*p)*(-3 + 3 - p**2).\nAnswer: -24*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let o be -3 - (3 - 3 - 786). Let g = -329 + o. Suppose -x = -5*m - 203, 3*m - g = -2*x + m. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 61 (b) 6\/11 (c) -56\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify p**0\/(p**5*p)*((p**(-2\/5)*p)\/p)**48 assuming p is positive.\nAnswer: p**(-126\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Convert 18 (base 12) to base 6.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Work out 2 + -2640.\nAnswer: -2638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*h - 9 = -4*z, 2*z + 7 = 4*h + 5*z. Does 7 divide (-200)\/(-30) - h\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -119 - -120. What is the closest to -1\/4 in -3, l, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(l) = 125*l + 117*l - 131 - 257*l. Let o be x(-9). Solve -24*w - o = -20*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(d) = d**3 - 6*d**2 + 4*d + 6. Let r(v) = -v**3 + 2*v**2 + 2*v + 1. Let t be r(-1). Suppose 2*a - 20 = -t*a. What is the units digit of s(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 d and 2 i when three letters picked without replacement from {k: 8, d: 1, y: 1, i: 4, l: 2}?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let n = -3 + 3. Let o = n - 2. Let f = 220\/321 - 2\/107. Which is the third smallest value? (a) f (b) 0.5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 6138388 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((m**(3\/11))**(-10))**(-2\/25) assuming m is positive.\nAnswer: m**(12\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-2*b + b + 3*b)*(20*b + 32 - 32)*(2 - 2 - 1) to the form j*b**2 + g + w*b and give j.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let p = 5.1 + -5. Let q = -1.8 + 2. Which is the nearest to p? (a) q (b) 0.5 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(x) = -x**3 - 6*x**2 + 36*x + 193. Give p(-5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 h, 1 c, and 2 g when four letters picked without replacement from svvvvggvvhccvvvcv.\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Put 5, -19, -103, 2\/9 in ascending order.\nAnswer: -103, -19, 2\/9, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 2932, 5534, 8192, 10906, 13676, 16502?\n\"Answer: 28*r**2 + 2518*r + 386","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 447655767 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 581 minutes after 4:14 PM?\nAnswer: 1:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Divide -4690411 by 3.\nAnswer: -4690411\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 57092 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: 24.7 times -1263801\nAnswer: -31215884.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is (10\/4)\/(((-117)\/(-9))\/(-52))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -12 or -37?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 555 and 475438345?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 31865?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let r(a) = -a + 1. Let d(p) = 4*p + 0*p + 1 - 5. Let x(y) = y**3 + 7*y**2 + 7*y + 8. Let z be x(-6). Let f be -6*(2\/z - 2). What is f*r(g) + d(g)?\nAnswer: -2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 953894580?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let b(u) = -2*u + 9*u - 4*u - 3*u + 2*u**2. Let s(y) = -1191*y. What is s(b(f))?\nAnswer: -2382*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let w(k) = k**3 - 21*k**2 + 37*k + 22. Let r be w(19). Suppose -6*n - 6 = -4*n + 3*y, r*n = 5*y + 10. Solve n*a = -a + 5, 0 = -3*x - 4*a + 35 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -57878.641029 + -277.\nAnswer: -58155.641029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let c(q) = -q**3 + 7*q**2 - 5*q - 1. Let s(i) = i - 1. Let w be s(-2). Let x = w - -9. What is the units digit of c(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-14)\/((-49)\/(-7))*(9 + -6)\/(-3). What is the greatest common factor of 2152 and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(y) = 22*y**2 + 3*y. Calculate the remainder when d(1) is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(x) = 6*x. Let i(a) = -7*a**2 - 24 + 24 + 2*a**2. Determine i(y(g)).\nAnswer: -180*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let v = -0.0513 - -0.1113. What is the second biggest value in -3, v, 2\/15, -5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 291665 and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -40 + 52 + -8 + -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n(s) = 2*s**2 + 3*s + 1. Let q be n(-4). Let h = q + -19. Let b(y) = -y**2 - 3*y + 3. Calculate b(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 14 in 5, 2, 12\/5, 5\/11?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Expand (5*h + 30*h - 8*h)*(0*h**4 - 5*h**4 + 3*h**4 + (2*h - 3*h + 2*h)*(1 - h**3 - 1)) - 10*h**5 + 15*h**5 - 9*h**5 + (h - h + 2*h**5)*(0 - 4 - 3).\nAnswer: -99*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -75*d - 56*d - 11*d - 59*d + 267*d - 47*d - 68*d.\nAnswer: -49*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14*j + 11*j = -402. Let m = j + -134. Let a = -2 - -4. What is the closest to m in a, -4, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2 + 154\/49 - 4\/28.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Sum 19898 and 39.\nAnswer: 19937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 2475 and 297?\nAnswer: 7425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -19 = -4*k + 1. Solve 2*n - 24 = k*c, 6 = 3*n - c - 4 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5029*j + 5006*j + 276 = 0 for j.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (y - 6*y + 4*y + (-4*y + y + y)*(-752 + 1448 + 396))*(2*y - 4*y + y) to the form n + z*y**2 + q*y and give z.\nAnswer: 2185","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 330, 346, 376, 426, 502?\n\"Answer: w**3 + w**2 + 6*w + 322","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -10*h**3*j**3*o**3*s**3 + 2*h**3*j**2*o**3*s**2 + 27*h**3*o**3*s - h**2*j**2*o**3*s**3 + 9*h*j**3*o**3 - 2*j**2*o**3 wrt j?\nAnswer: -60*h**3*o**3*s**3 + 54*h*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3*sqrt(133)\/sqrt(7) + -6*sqrt(114)\/sqrt(6) + sqrt(19))**2.\nAnswer: 1216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1152 divided by 2.\nAnswer: 576","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let y(g) = -125*g + 9 + 1 + 124*g. Determine y(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the seventh smallest value? (a) -1\/5 (b) -0.1 (c) -3\/55 (d) 39 (e) -3 (f) 0.5 (g) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 594 and 242.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let v(p) = p - 1. Let n(g) = -g**3 + 5*g**2 + 8*g - 13. Let a be n(6). Let r(h) = -1. Give a*r(z) + 2*v(z).\nAnswer: 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let t be -3*(-1 - (3 + -1)). Let f(s) = -s**3 + 8*s**2 + 12*s + 1. Is 21 a factor of f(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 14360 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from {w: 4, l: 15}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let k(d) = -2*d - 4. Suppose -3*u - 37 + 16 = 0. Let c(q) = 2*q - q + q + 2*q + 9. What is u*k(n) - 3*c(n)?\nAnswer: 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let z = 1 - 1.4. Let f = 13.5 + -13. Let j = -11 + 6. Which is the nearest to 1? (a) z (b) j (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3041548?\nAnswer: 2, 37, 20551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let o(r) = 4*r**2 - 512*r + 407. Let d(x) = x**2 + 68. What is 6*d(i) - o(i)?\nAnswer: 2*i**2 + 512*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let f(c) = c - 1. Let l be (4 - 3) + 1*3. Let q(z) = 7 + 0 - l*z - 2 - 3*z. Give 6*f(j) + q(j).\nAnswer: -j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 4\/22 - ((-280)\/(-11))\/8?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange t**3 - 489 + 649 - 2*t**3 to the form c + v*t + l*t**3 + g*t**2 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 68394?\nAnswer: 2, 3, 11399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let h(y) = -2*y**3 - 2*y**2 - 5*y - 3. Let u be 8\/18 + 9\/(1539\/(-589)). Let v(k) = -2*k**3 - 3*k**2 - 6*k - 4. Give u*v(p) + 4*h(p).\nAnswer: -2*p**3 + p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let z(x) = x**3 - 9*x**2 + 8*x + 7. Let h be (-8 - 0) + (1 - (-2 + -13)). Calculate z(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 102 or 12\/31?\nAnswer: 102","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Put -23, -113, -257 in increasing order.\nAnswer: -257, -113, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve g - v - 1 = 0, 0*v = 2*g - 4*v - 2 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Convert -8 (base 11) to base 15.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -59\/2 and -103\/312740?\nAnswer: 312740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*x = -13 + 1. Suppose -2*l + 260 = x*s, 3*s = 4*s + 3. Let w be (-63)\/(-36)*20 + -1. Calculate the greatest common divisor of w and l.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -4 - -18\/5. Sort -3\/2, c, 0 in decreasing order.\nAnswer: 0, c, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 216302.7 to the nearest ten thousand.\nAnswer: 220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let b = -35 - -60. Suppose -2*q - 6 = -4*a, -6*q + b = -q. What is the remainder when 6 is divided by a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((l\/l**(4\/5))\/(l*l**(-2\/9)))\/(l**(2\/9)\/l**5)*(l**(-1\/4)*(l**(3\/4)*l)\/l)\/(l\/l**(1\/4)*l*l**(2\/5)) assuming l is positive.\nAnswer: l**(51\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let u(g) = 14*g**3 - 13*g**2 + 79*g + 3. Let t(v) = 11*v**3 - 11*v**2 + 75*v + 2. Give 5*t(m) - 4*u(m).\nAnswer: -m**3 - 3*m**2 + 59*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 302 - 8*x + 18*x**2 - 302 to the form h + w*x + c*x**2 and give w.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 14607788 is divided by 917.\nAnswer: 895","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 242 - -123625?\nAnswer: 124067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let v(r) = 123*r**2. Let u(t) = 4*t**2 - 6*t**2 - t**2. Calculate v(u(x)).\nAnswer: 1107*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 181735127 to the nearest integer?\nAnswer: 13481","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*y - 6 = 5*y. Let d(i) be the first derivative of 1\/2*i**y + 1\/4*i**4 - 2\/3*i**3 + 3 + 0*i. Find o, given that d(o) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 4 t when four letters picked without replacement from {n: 5, t: 5}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -m = -0*m + 6. Let c be m\/(-27) - 6\/27. Solve -q = -c*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 32 and 752?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0*g - 311*g**3 + 0*g + 312*g**3.\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 32840739 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: Calculate the highest common divisor of 178 and 23318.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Express -11*g**2 + 4*g**2 + 13*g**3 - 4*g**4 + 250325 - 250327 in the form y*g**3 + m*g**2 + x*g**4 + p*g + t and give y.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: 2*-167511\nAnswer: -335022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(7) - sqrt(42)\/(-1*sqrt(6)))**2 - sqrt(7)) + sqrt(7) - (3*sqrt(7) + 4).\nAnswer: -3*sqrt(7) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 1137973 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 4880535056 to the nearest integer?\nAnswer: 69861","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let r(b) = -b**2 - 6*b - 13. Let a be r(-4). Let u = -6 - a. Let s be -4 - 3\/u - 1. Is s at least -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from wweweewwwseswesssss. Give prob of picking 2 w and 1 s.\nAnswer: 49\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let f be 9\/21*(-2)\/9. Let u = -37\/15 + 9\/5. Let i = 2 - 2.1. Which is the second smallest value? (a) f (b) i (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 2 + 1. Let b = 1 + c. What is the third smallest value in 1, 3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 39096 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: Suppose -12 = -2*c - 4*l, 530*l = 529*l + 1. Let j = 4 + -2. Solve -c*v = j + 6 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -22 or -6?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 118072*g**2 + 92450*g wrt g?\nAnswer: 236144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 219254929.\nAnswer: 23, 9532823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let w(f) = 59*f**4 - 26*f**3 - 11*f - 347. Let s(l) = -20*l**4 + 9*l**3 + 4*l + 116. Let j(i) = 17*s(i) + 6*w(i). What is the second derivative of j(m) wrt m?\nAnswer: 168*m**2 - 18*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 82, 5, -26, 7 in increasing order.\nAnswer: -26, 5, 7, 82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let r(p) = 3*p**2 + p + 2. Suppose 30 = 4*a - 10*a. Let b(n) = -n**3 - 7*n**2 - 3*n - 5. Give a*r(c) - 2*b(c).\nAnswer: 2*c**3 - c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((g*g**(-1))**38\/(g**(2\/7))**(1\/22))\/((g*g*g\/(g\/g**(-1\/2)))**(-42))**(12\/11) assuming g is positive.\nAnswer: g**(481\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((b*b**7*b\/(b**(1\/4)*b))\/((b*(b\/(b\/b**(-1\/3)))\/b)\/b)**1)**(-7) assuming b is positive.\nAnswer: b**(-763\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 210 a factor of 513293760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let t(f) = -10*f**2 - f + 8. Let d(a) = 19*a**2 + a - 16. Let y(b) = 4*d(b) + 7*t(b). Let h be y(4). Let l = h + -57. Is 5 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -3 + (3 + 1 - 0) + -4 + -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -953*h + 0 - 1716*h + 8 + 76.\nAnswer: -2669*h + 84","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*g = 3*g - 3. Suppose -g*j = 3*f - 33637893, 3*j + 5*f - 44850525 = -j. Let s = 3312630 - j. Round s to the nearest 1000000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((u*u**19)\/(u*u**(-1\/5)*u*u))\/(u*u*u*u**(2\/9)*u*u*u*u**(3\/4)) assuming u is positive.\nAnswer: u**(1841\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*v + u = -v - 444, 3*v - 2*u - 665 = 0. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(b) = 4*b + 14. Let q(v) = 5*v + 15. Let o(w) = -7*n(w) + 6*q(w). Calculate the lowest common multiple of 6 and o(13).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 70682 and 1259098?\nAnswer: 1198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 1\/3, 0.095, 16, -0.4, -3\/25?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let w(c) = -c**3 - 8*c**2 + 9*c + 2. Let d be w(-9). Suppose 4*y + 17 = 4*m + 5, 2*m - 4*y = d. Solve 0 = -5*i - 3*p - 25, 3*p = i + p + m for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 31630.\nAnswer: 2, 5, 3163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let v be 4\/58*(-1)\/(-2). Let b = -139\/174 - v. Let k = 14191 - 14191.04. What is the closest to -0.1 in k, -3, b?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*(sqrt(19) - sqrt(19)*2)*-4 + (sqrt(19) - (5*sqrt(19)*2 - sqrt(19))) + -2.\nAnswer: -12*sqrt(19) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 934?\nAnswer: 2, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (72\/14)\/((-10404)\/(-32368)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, 0, 251, -5, -1 in decreasing order.\nAnswer: 251, 0, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*a = -z - 45, z + z + 67 = 3*a. Suppose 0 = 29*b - 11*b - 414. What is the highest common factor of a and b?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y**(-2\/7))**38*y**5*y\/y**6*y**(-2\/5)\/(y\/y**(-2\/3)*y)*(y\/(y\/y**0)*y)**(-32) assuming y is positive.\nAnswer: y**(-4822\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let q be (2\/(-106))\/((-13)\/184). Let r = q + -6\/53. Suppose -8 = 4*b - 4. Is b bigger than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(f) = -f + 12. Let v be q(8). Suppose -23 - 213 = -v*h. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be -1 + (12649\/(-420))\/13. Let g = 35\/12 + c. What is the closest to g in 2, 0.3, -2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -13056 divided by -2176.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 52690962*k**2 - 573*k - 34736 wrt k?\nAnswer: 105381924","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let x = -5 - -1. Sort 3, x, 4, -1.\nAnswer: x, -1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -5855 + 11747 - 69*p - 5836.\nAnswer: -69*p + 56","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let w = 438.97 + -439. Which is the closest to -1\/4? (a) w (b) -2 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00061874 to 6 dps.\nAnswer: -0.000619","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Determine o so that -2*o**5\/11 - 48*o**4\/11 - 240*o**3\/11 - 448*o**2\/11 - 288*o\/11 = 0.\nAnswer: -18, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 591 minutes after 3:15 AM?\nAnswer: 1:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let b(x) = -x**3 + 11*x**2 - 16*x - 14. What is b(9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is next in -2, -9, -18, -29, -42, -57?\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let j(y) = y - 2. Let o be j(4). Suppose 4 = -o*f - 4*q, 5*f - 14 = 2*q - 4*q. Let x be ((-12)\/48)\/((-2)\/24) + 4. Solve -s - x = -f for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 25824 = c + 5*c. Let d = -17115\/4 + c. Find the common denominator of -10\/9 and d.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 4932 is divided by 70?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (20\/(-15))\/(14\/(-63))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y(n) = n**2 - 28*n - 226. What is y(-8)?\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Round 68.8840036 to 1 decimal place.\nAnswer: 68.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let g(n) = 3*n. Let u(k) be the second derivative of -41*k**4\/6 + 110*k. Calculate u(g(c)).\nAnswer: -738*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 81722 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -2*t + 20394*t**2 + 4*t - 20469*t**2 + 2444*t**4 wrt t.\nAnswer: 58656*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 21, -2\/11, -1\/6, 4, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Does 17 divide 7939?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -21 - -31 - (1 - 3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 36\/(-45)*(-165)\/66.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let k be ((-24)\/(-14))\/((-36)\/(-56)). Suppose 550 = -10*m - 30. Let p = -640\/11 - m. Which is the second smallest value? (a) -1\/3 (b) k (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 53 + (47 - 56) + -2.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f = 7741 - 5871. Is f a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -1 + 3. Suppose 0 = 5*r + 20, 4*r + 40 = l*m - 10. Suppose 2*x - m = 9. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(g) = -68*g**3 + 3*g**2 - 3*g. Let x(i) = -12851*i**3 + 568*i**2 - 568*i. Give -568*l(v) + 3*x(v).\nAnswer: 71*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 36*h + 153 = 46*h - 7 for h.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Express -18*h**3 + 13*h**2 - 15*h**2 - 541*h**3 + 4*h**2 in the form v*h + w + d*h**2 + s*h**3 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: 16\/364*7*(-2548)\/(-294)\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 29017 or 29343?\nAnswer: 29017","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is next in -153, -302, -451, -600, -749, -898?\nAnswer: -1047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 3.7 or 15838\/49?\nAnswer: 3.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let y = 3 + 3. Let f = 7 - y. Sort 5, f, 7 in descending order.\nAnswer: 7, 5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be -6*(2\/6 - 1). Let a = 0 + 4. Let c = a + -1. Solve 7*n = d*n + c for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 8129.2 and 13?\nAnswer: 105679.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let s = -22132 + 22136. Let v(d) be the second derivative of 0 - 3\/2*d**2 - 1\/4*d**s - 21*d + 2\/3*d**3. Determine v(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 52040, 51995, 51950, 51905?\nAnswer: 51860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*k = -z + 368, -4*z - 2*k + 3*k = -1483. What are the prime factors of z?\nAnswer: 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 2035, 4096, 6181, 8284, 10399, 12520, 14641, 16756?\n\"Answer: -k**3 + 18*k**2 + 2014*k + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*b + 35 = -0*b. Let o = b + 6. Let g(u) be the first derivative of -2*u**2 + 1. Give g(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -436 - 108. Let i = n + 543.999998884. Round i to 7 decimal places.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -4*m**2*z**3 + 15*m**2*z**2 + 309*m**2*z - 2*m**2 - 14970*z**3 wrt z.\nAnswer: -24*m**2 - 89820","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -108*p**3 + 56*p**3 + 1 - 1 + 53*p**3.\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let s = 45 - 31. Let m be (6\/(-21))\/((-8)\/s). Which is the smallest value? (a) -4 (b) 5 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -33*q + 1261 - 3397 = -948 for q.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in 5, 3650, -17\/9, 0.3, -1\/2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*h**3 + 130137*h**2\/4 - 88218651*h + 66145689.\nAnswer: -3*(h - 5422)**2*(4*h - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 213130867 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 u and 1 v when three letters picked without replacement from {u: 3, v: 7}.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 5304900 and 27750.\nAnswer: 981406500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*i + 4 = 16. Let w(q) = q - 1. Let f(r) = 2*r - 3. Determine i*f(a) - 6*w(a).\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence wwj when three letters picked without replacement from {w: 8, j: 5}.\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 5072 and 159664.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5 + 2 + 4 + (-4 + 18 + 20)*(0 + 3 + 0) - 2 + 2 - 5)*(0*u + 0*u - u**4).\nAnswer: -98*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Differentiate c*l*w**3 + 46*c*w + 316*l*w + w**3 - 2*w**2 wrt l.\nAnswer: c*w**3 + 316*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, -1324, -24, -1.\nAnswer: -1324, -24, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let u(d) = d**3 - 4*d**2 + 3. Let s be u(4). Suppose s*k - 27 = 3*a, k - 15 = -2*k - a. Let v(r) = -4*r + k*r - 2 - 1. Determine v(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -9884035*r**3 + 15720123?\nAnswer: -29652105*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let l(w) = -21*w - 271. Let k be l(-13). Solve -2*p - 3*b - k = -4*p, 0 = -p + 3*b + 4 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 12400256 or 12400218?\nAnswer: 12400218","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 54\/72 - (-6882)\/8?\nAnswer: 3, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*y + 2*j = -158, -6*y + 2*y + 343 = 5*j. What is the remainder when 244 is divided by y?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -7924*n**2 + 17111*n**2 - 6541*n**2.\nAnswer: 2646*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 = 4*p - j, 3*p = 3*j + j + 4. Suppose k = -p*k - 10. Let a(h) = h - 12. Let v be a(8). Sort k, -3, v in increasing order.\nAnswer: k, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 155 divide 6045?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let x = -4.7 + -1.3. Let y be -8 - -3 - (-319)\/58. Sort x, 5, y, -3\/8 in descending order.\nAnswer: 5, y, -3\/8, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence hz when two letters picked without replacement from hhhzrrzhhrrzr.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:49 AM and 8:49 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 312385661?\nAnswer: 7, 44626523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(66)*2*4 - sqrt(66))\/(5*(sqrt(12)\/sqrt(2) + sqrt(6))) - ((sqrt(66)\/(sqrt(12)\/sqrt(2)))**2 + sqrt(88)\/sqrt(72)).\nAnswer: -11 + 11*sqrt(11)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2 + sqrt(756)\/sqrt(12) + -4)**2.\nAnswer: -12*sqrt(7) + 67","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -19*j - 31*j + 70*j - 22*j + 178*j**2 - 193*j**2.\nAnswer: -15*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose k + 96*k = -17*k + 30079014. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -101 + -1111001110011?\nAnswer: -1111001111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 647333?\nAnswer: 647333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 25529566200 rounded to the nearest 1000000?\nAnswer: 25530000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Factor -223*h + 244*h - 8*h**2 - 18 + 2*h**3 - h**3.\nAnswer: (h - 3)**2*(h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -640 - -1121. Does 13 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 353*z - 365*z + 60 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Sort 4\/27, 2\/9869, 1 in descending order.\nAnswer: 1, 4\/27, 2\/9869","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Round 0.002828094 to five dps.\nAnswer: 0.00283","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -a - 1233362 - 1166638 = 0. Round a to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 0.5, -246.18, 152, -1, 25\/4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((n*n*((n*n**(3\/8))\/n)\/n*n)\/n*n*(n**(-10)\/n)\/n*n)**14 assuming n is positive.\nAnswer: n**(-483\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -17997*v**2 - 17999*v**2 + 30*v**3 + 53992*v**2 - 17993*v**2.\nAnswer: 30*v**3 + 3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let v(g) = -g**2 + 9*g + 8. Let x be v(10). Let j = x - -5. Solve -j*u = 2*u + 15 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 6\/5, 94, 7\/3, 0.4 in ascending order.\nAnswer: 0.4, 6\/5, 7\/3, 94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 0 - -29ac?\nAnswer: 29ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -3 + 366*w**3 + 197*w**3 + 25*w**3 - 651 wrt w?\nAnswer: 1764*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 113878.9999916251 + -113879. What is s rounded to six dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 6*u - 5*u - 1847. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -4 + 2 + 9*j + 5 - 3*j + 3*j**2 = 0. What is j?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 835 - -4?\nAnswer: 839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*m + 7*m - 9 = 0. Suppose -y + 0*y = 2*r - 61, 2*r + m*y = 67. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 4\/5 + -3\/5. Sort c, -4\/9, 3 in ascending order.\nAnswer: -4\/9, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 158863?\nAnswer: 158863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 636\/954*(2 - 20\/7).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -1*(-5)\/(-45)*-3*1050\/(-280)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 85, 126, 143, 124, 57, -70?\nAnswer: -269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from tttttttttggttttggg. Give prob of sequence tgg.\nAnswer: 65\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-1 - -1)*(5 - 6). Suppose -2*x + c*x = -12. Calculate the greatest common divisor of x and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 + 4 + 5)*((0*l**2 - 4*l**2 + 3*l**2)*(27*l - 1010 + 1010) - 2*l**3 + 0*l**3 + l**3).\nAnswer: -280*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let f(d) = d. Let y(b) = -1717*b**2. Give y(f(t)).\nAnswer: -1717*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let w(v) = -v**3 - 2*v**2 + 2*v - 11. Let y be w(-7). Suppose 440 = 2*p - 0*p - b, -b - y = -p. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 12*y + 16*y = 112 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:59 AM and 1:14 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 53 is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Express -2*h - 88 + 88 - 163*h**2 + 66*h**2 as z*h**2 + w*h + x and give z.\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {h: 5, n: 1, z: 1, g: 1, w: 9}. What is prob of sequence ww?\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let z = 1\/11 + 1\/11. Let v = 0.532 - -2.358. Let g = v + 0.11. What is the second biggest value in z, g, -0.4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 476?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let m = 16 + -9. Suppose y + 6 = 4*y. Suppose 0 = -2*n - 0*n + y. What is the greatest common factor of n and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (125 - -95 - 283) + 0 + -1 + -18.\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v = 474 + -454.1. Let u = v - 0.9. Let y = u + -19. Which is smaller: -1 or y?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*f = 5*f - 525. Suppose 36 = 4*o + 5*s + f, 3*o + 51 = -3*s. Let q = o - -30. Calculate the lowest common multiple of 10 and q.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify k**(-6)*k**(-3\/4)\/k*k*k**9\/(k\/k**(1\/5)) assuming k is positive.\nAnswer: k**(29\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1\/24 in -5, 2, -354?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -11265 - -1494746.564?\nAnswer: 1483481.564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 67*j - 11*j**2 + 7*j**2 - 17*j**2 - 67*j.\nAnswer: -21*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (371\/28)\/(2\/16)?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is twenty-five halves of a centimeter in millimeters?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 211 minutes before 4:47 PM?\nAnswer: 1:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let b be ((-61)\/(-488))\/((-4)\/32). Put -15, -5, -14, b, 8 in descending order.\nAnswer: 8, b, -5, -14, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -c + 8 - 2 = 5*i, -14 = -c + 3*i. Suppose 4 = 4*t + 4*v, -4*v = c - 3. Let r = 0 + 1. Solve -2*h - r = t for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*j + 4*u = -13 + 1, 5*u + 1 = -j. Suppose -2*f + 4*n - j = -0*n, -f - 11 = -5*n. Factor g**4 + g**f - g**2 - g**2.\nAnswer: 2*g**2*(g - 1)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of (-441)\/39984*172\/(-18) and -79\/544.\nAnswer: 1632","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -11 - (14 - 28) - (4 - -4 - 1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o = 0.959 + 0.041. Which is the nearest to -1? (a) o (b) -1 (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u**(-5\/12))**(-6\/19) assuming u is positive.\nAnswer: u**(5\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let g = 0.01 + 2.99. Let h = 2.9 - g. Let w be (10\/18)\/(5980\/276). Is h equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 378 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 1965602 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Work out -445766 + -0.13.\nAnswer: -445766.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let c(v) = 138*v - 117. What is the lowest common multiple of 618 and c(1)?\nAnswer: 4326","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 - 1 + 0)*((2 + 3 - 3)*(0 + 1 - 2) - 4 + 3 + 3 - 2 - 1 - 1)*(j + 2*j - 5*j).\nAnswer: -16*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: -2 times 16\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Total of -0.3794 and -0.3100501.\nAnswer: -0.6894501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: ((-4)\/(-30))\/(12\/(180\/25))\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort 25, -4, 2, -15047, -7.\nAnswer: -15047, -7, -4, 2, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: (0 - 5) + (-8 + 7 - (-48 - -19))\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u = 14\/335 - 10609\/5360. Calculate the common denominator of 59\/20 and u.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(h) = 2*h + 16. Let x(q) = q + 4. Let d(n) = -o(n) + 4*x(n). Let z(p) be the second derivative of p**3\/3 + 2*p. Give z(d(c)).\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let n = 10 + -5. Which is the second biggest value? (a) 6\/5 (b) n (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -11600000 to the nearest one hundred thousand.\nAnswer: -11600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let f be 1 - -2 - (21 + -18). Let n(p) = -p**3 + p**2 + p. Let l(a) = -4*a**3 + 2*a**2 + 4*a - 6. Let o(z) = l(z) - 3*n(z). Calculate o(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from biid. Give prob of sequence dbi.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Does 82 divide 68680904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 29731837 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let l = 215 - 208. Calculate the highest common divisor of 35 and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*y = -5*i - 541 - 438, -3*i + 2463 = 5*y. Suppose -126 = -495*f + y*f. Suppose 0 = -3*j + 21 + 6. What is the remainder when f is divided by j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: -22588 divided by -1\nAnswer: 22588","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Put -2, 31, -6, -1 in increasing order.\nAnswer: -6, -2, -1, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2\/3? (a) -2.066 (b) -2\/3 (c) 1 (d) 5\/3 (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {c: 8, a: 3}. What is prob of picking 4 c?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3245 is divided by 65?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let w = 1.508 - 1.25. What is w rounded to two decimal places?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15 = -2*o + 5*o. Solve -o*z - 6 = -3*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*x + 467 = 4*n, 4*n - 600 = -x - 103. Let v(j) = 336 - n*j - 336. Let z(c) = -c. Give v(z(g)).\nAnswer: 123*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve m - 4 = -l, 288266*m = 288265*m + 2*l - 2 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 9 and 463.\nAnswer: 4167","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -31, -75, -151, -265, -423, -631?\n\"Answer: -s**3 - 10*s**2 - 7*s - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*h - 24 - 15 = -5*x, -2*x + h = -15. What is the lowest common multiple of x and 174?\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -41464\/3 + 13822. Sort -55, l, 0.03, -2, -3.\nAnswer: -55, -3, -2, 0.03, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 6*d**2 + 11*d**2 - 23*d**2.\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let o(d) = 2*d**3 + d**2 - 3*d + 1. Let v(k) = 5*k**3 + 3*k**2 - 7*k + 3. Let a = -18 - -11. Calculate a*o(u) + 3*v(u).\nAnswer: u**3 + 2*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let o(d) = -d**2 + 10*d + 5. Let a be o(8). Let p be ((-7)\/a)\/((-638)\/636 - -1). Suppose -2*v + v = -p. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence uum when three letters picked without replacement from {u: 3, m: 9}?\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((p**(-1\/3)\/p)**(-9\/2)*p\/p**0*p**(-6)\/p)\/((p**(1\/2))**(-8\/5)*(p\/(p*p*p\/(p**(-1)*p)))\/(p*p**(2\/7))) assuming p is positive.\nAnswer: p**(143\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let l = 4206 + -1618. What are the prime factors of l?\nAnswer: 2, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(j) be the second derivative of -j**3\/6 + j**2\/2 + j. Suppose 8*t = 4*t - 20. What is the lowest common multiple of a(t) and 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.09 take away 0.104?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let v(b) = 2*b**2 + 48*b - 109. Let k be v(-26). Let w be (-4)\/6*(-3)\/11. Let g = 5\/33 + w. What is the closest to -1 in g, k, -4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 2*h**4\/7 - 6*h**3\/7 - 6*h**2\/7 + 22*h\/7 - 12\/7 = 0. Calculate h.\nAnswer: -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 179\/172536 and -167\/119448.\nAnswer: 1552824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 6, 8, 44, 132, 290, 536, 888?\n\"Answer: 3*h**3 - h**2 - 16*h + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) = -f**2 - 9*f + 12. Let c be o(-10). Let b(t) = 8 + 3*t**2 + t**c - 3*t**2 - 9*t + 2*t. What is the units digit of b(7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(q) = -4*q**2. Let j(a) = 148*a + 25. Let m(d) = 6586*d + 1110. Let x(g) = -222*j(g) + 5*m(g). Determine x(i(o)).\nAnswer: -296*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0 in -52038, -0.01, 21, -2\/3, 4?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p**(3\/5)*p)\/(p\/(p*(p\/p**(-1\/3))\/p)*p)*(p\/(p*p**(7\/6)\/p))\/(p\/(p\/(p\/p**12))) assuming p is positive.\nAnswer: p**(353\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let m(k) be the third derivative of -k**5\/60 - 11*k**4\/24 - k**3 - k**2. Suppose 4*u = -5*q - 37, 0 = -u + 4*q - 9 + 5. What is the tens digit of m(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 49 (b) 5 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let y(r) be the second derivative of -r**4\/12 - r**3 - 3*r**2 + 534*r. Let j(m) = -m**2 + 7*m + 10 + 0*m + 0*m**2 + 3. Let x be j(9). What is y(x)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*b**2\/13 - 10567526*b\/13.\nAnswer: -2*b*(b + 5283763)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 1015, 5875, 13977, 25327, 39931, 57795, 78925?\n\"Answer: g**3 + 1615*g**2 + 8*g - 609","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -4 + ((0 - -1) + 2 - 4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 10027?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -64083 or -64081?\nAnswer: -64083","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Are -23 and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let f = -11856442 + 7941398. Let g = -3915053.999908 - f. Let x = g + 10. What is x rounded to five dps?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -22 + 22.22. Let z = -0.2 + s. Let n = z - 0.02075. What is n rounded to 4 dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*o = -l + 12, 2*l - o - 45 = -0*o. Let t = l + 16. Calculate the highest common divisor of t and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(f) = 8*f - 1. Let o(n) = n**2 - 41*n + 6. Determine 2*o(h) + 11*q(h).\nAnswer: 2*h**2 + 6*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 543 minutes after 12:48 PM?\nAnswer: 9:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 347701 a multiple of 364?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let j = -1623 - -1715. What is the remainder when 236 is divided by j?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 703.\nAnswer: 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -5 - 3?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let s be -18 - 0 - (4 + 7 - 9). Suppose 0 = -2*i + 4*i - 114. Let g = s + i. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000011076 rounded to six dps?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 6\/1477 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 0.5 (b) -0.01702 (c) 1 (d) -24\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 883853 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0*f**2 - 2*f - 2*f**3 + 0*f**2 - 5*f**3.\nAnswer: -7*f**3 - 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2\/151? (a) -1\/7 (b) 0.5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -4, 5\/2, 0.4, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:49 PM and 10:14 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3*1*(-2)\/2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-2)\/(-8)*3 - 1023\/(-44). Let d be (0 + -2)\/(1\/(-7)). Let n = d + -8. Calculate the highest common factor of n and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -2, 2\/5, 2\/13, 11?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 28901 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -1677.2064 rounded to 1 decimal place?\nAnswer: -1677.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 1121180635?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -f - 4*a = -5, 5*a - 4 = -f + 1. Solve -5*y - 10 = f*h, -y - 2*h - 6 + 2 = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(t) = -5269999*t + 10. Let z be u(-10). What is z rounded to the nearest one million?\nAnswer: 53000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-1)\/(-6) - 105\/(-18). Let j(v) = 9*v - 11. List the prime factors of j(d).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {f: 1, d: 1, i: 2, n: 1, m: 2, l: 1}. What is prob of sequence dii?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let z = 13722 - 18262.1. What is z rounded to the nearest one hundred?\nAnswer: -4500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 40987451 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify u**2*u**(-26) assuming u is positive.\nAnswer: u**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 74564876831 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-6*t + 6*t - 19*t**4 + t)*(-1 + 0 + 0) + (-2*t + 2*t**4 + 2*t)*(3 - 2 + 1) to the form f*t + n + r*t**2 + h*t**3 + x*t**4 and give x.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: 0.85*118506\nAnswer: 100730.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 222788920 minus 2377.08?\nAnswer: 222786542.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1552520 or -1552467?\nAnswer: -1552520","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((x*x\/x**(7\/5))\/x**13)\/(((x\/(x\/(x**(-9)*x))*x)\/x)\/(x\/x**4*x)) assuming x is positive.\nAnswer: x**(-32\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:28 PM and 9:51 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -p**2 + 169*p + 170 = 0 for p.\nAnswer: -1, 170","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -39, 37, 161, 333, 553, 821, 1137?\n\"Answer: 24*t**2 + 4*t - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let r(f) = 8*f**2 + 2652*f - 16034. Calculate r(6).\nAnswer: 166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Do -58 and -12 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 121*p - 123*p + 16 = 4*q, 5*q = -10 for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let s(u) be the first derivative of -u**4\/6 + 20*u**3\/3 - 19*u**2 - 130*u + 23. Let b(c) be the first derivative of s(c). Factor b(x).\nAnswer: -2*(x - 19)*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:45 AM and 3:45 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 x and 1 r when two letters picked without replacement from rrrrrxrrrtrrrrrrr?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} {"text":"Question: Factor 2*j**4\/3 + 10*j**3\/3 - 14*j**2 + 46*j\/3 - 16\/3.\nAnswer: 2*(j - 1)**3*(j + 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -981 + 1969 - 186*q - 988.\nAnswer: -186*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*i + 749*x - 7 = 748*x, -3*i = 7*x - 5 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 2\/5 (b) -2.3 (c) -0.3 (d) 1\/3 (e) -0.107 (f) 1\/6\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is q in 14*q**3 + 3604*q**2 - 55376*q + 30464 = 0?\nAnswer: -272, 4\/7, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -32 + 17 + 2 + 8?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 917?\nAnswer: 7, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let b(p) = -2*p - 2. Suppose -3*h = -7 - 11. Let f(k) = 1 + 5*k + h - 2*k**2 - 2 + k**2. Let x(t) = -5*b(t) - 2*f(t). Let r(o) = -10*o. Calculate x(r(n)).\nAnswer: 200*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 229152598.\nAnswer: 2, 367, 312197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 701021850?\nAnswer: 2, 3, 5, 89, 52511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 36989794.\nAnswer: 2, 337, 54881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let n(u) = u**2 - 11*u - 1. Suppose 6*s = 56 - 26. Let y be 7 + s - (-2 + 3). Calculate n(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(s) = -83*s**3 - 5*s**2 - 13*s - 2. Let l(y) = 41*y**3 + 2*y**2 + 5*y. What is -5*l(o) - 2*u(o)?\nAnswer: -39*o**3 + o + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand r**2 - 3*r**2 + 3*r**2 + (2*r - r + 0*r)*(r - 2 + 2) + ((-5 + 2 + 1)*(-6*r + r + 3*r) + 14*r - 6*r + 7*r)*(-73*r + 40*r - 21*r).\nAnswer: -1024*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 105904, 105905, 105906, 105907, 105908, 105909?\n\"Answer: y + 105903","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let u = 12160 - 85119\/7. Let a(g) = g + 3. Let w = -5 + 3. Let k be a(w). Which is bigger: u or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 99869 take away -1837645?\nAnswer: 1937514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve -5823 = -12*w - 6051 for w.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*p + 2 = -2*h, -h = p - 3*h - 2. Suppose w - 2*b - 3 = 3, p = 5*w - b + 6. Let o be 0 - ((-18)\/25)\/(2\/(-5)). Is w bigger than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1180367 is divided by 103?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 17185*m + 17400*m - 34575*m.\nAnswer: 10*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -d + 0*d + 55 = 0. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 2381526233\/1620 - 1470078. Find the common denominator of 31\/10 and w.\nAnswer: 1620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2941857?\nAnswer: 3, 326873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d**(3\/19)*d)\/(d*d**1)*d**2\/(d**13*d*d) assuming d is positive.\nAnswer: d**(-263\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + 3*r**2 + 2)*(2 - 4 + 4)*(7 + 5*r - 7) + (-3*r + r + r)*(-2*r**2 + 0*r**2 + 7*r**2).\nAnswer: 25*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 225951 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -24*h**2*t*u**2 - 2*h**2*t*u - 3*h**2*u**2 + 32*h**2*u - 47*h*u**2 + 13*t - 1 wrt u?\nAnswer: -48*h**2*t - 6*h**2 - 94*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-3 + 3 + z**2)*(-5851 + 183*z + 5851) + 13*z**3 - 6*z**2 + 6*z**2 to the form d*z**3 + k + g*z + c*z**2 and give d.\nAnswer: 196","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let a = -495 + 490. What is the second smallest value in -1, a, 6\/5, 0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 2173853960?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*p + 225 = 3*p. Let o = p - -11. Does 17 divide o\/2 + 4\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -31, -66, -91, -100, -87, -46, 29?\n\"Answer: m**3 - m**2 - 39*m + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 209739610 a multiple of 466?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1440536*-0.2.\nAnswer: 288107.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Does 104 divide 2020474?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 21723693 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 24 a factor of 2208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let b = 127 + -12. Let u = b + -2183\/19. Let l be 1 + 1 + (0 - 1). Which is smaller: u or l?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-144)\/48*(2\/1)\/(-18)*(-93)\/434.\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o = -8.04 - -2.04. Let q = 42888 + -42894.0011. Let r = o - q. Round r to 3 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 14 and 49791?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 65*f**3 + 121*f**2?\nAnswer: 390","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let m(z) = z**3 + 6*z**2 + 6*z + 7 + 0*z**2 - 1. Let v = 0 - -6. Let f be (-2)\/v + (-28)\/6. Give m(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: 2860\/143*4\/(-6)*(-6)\/(-70)\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v(u) be the first derivative of 0*u + 0*u**2 - 1 + 1\/3*u**3. Let r(s) be the second derivative of -s**4\/12 + 2*s. What is v(r(d))?\nAnswer: d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2785760623.\nAnswer: 83, 33563381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let j(h) = -5*h - 14. Let l be j(-11). Let s(a) = a**2 + 1. Let u be s(2). Suppose -v + 1 + 4 = 0. Solve k + 4*k + 4*i = l, v*k = 5*i + u for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 142 = 6*r - 4*r. Let k = r + -42. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1272379?\nAnswer: 1272379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let h = 109 - 104. Calculate the remainder when 109 is divided by (1 - -3) + h\/((-5)\/(-4)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(g) = 2*g**3 - 14*g**2 + 5*g - 29. Give y(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 4815 and 1284.\nAnswer: 19260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let o(l) = -l**2 + 13*l + 1. Suppose -8*u = -23 - 81. Let g be o(u). Solve -2 = 3*m + g for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 13 > 8953?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*n - 21 = q, n = -0*q - q - 7. Let i(f) = f**3 + 8*f**2 + 7*f + 2. Let m be i(n). Solve -m*g = g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 71, 130, 197, 278, 379?\n\"Answer: f**3 - 2*f**2 + 58*f + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 43 and 301?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 8552.\nAnswer: 2, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence fnpf when four letters picked without replacement from fffffpffpnnfffffnpnf.\nAnswer: 26\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 9 and 639?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-5)\/((2 + -1)\/(12 - 13)). Let c(m) be the third derivative of 0*m + 0 + 1\/48*m**6 + 1\/3*m**3 - 1\/6*m**4 - 7\/120*m**g + 5*m**2. Factor c(i).\nAnswer: (i - 2)*(i + 1)*(5*i - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 - 1 + 0)*(j**3 + 2*j**2 - 2*j**2) + 2*j**2 + j**3 - 2*j**2 + 4 - 2*j**3 - 4 - j**3 - 2*j**3 + 0*j**3 + (-2*j**2 + 2*j**2 - 2*j**2)*(j - j - 2*j).\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*z - 12 = 9*z - 5*s, 5*s = z + 3 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let m(u) be the first derivative of -4\/5*u**5 - 5 + 0*u + 0*u**2 - u**3 + 0*u**4. Find the third derivative of m(b) wrt b.\nAnswer: -96*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*g - 89*a = -91*a - 4, -2*g - 2*a = -12 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -452837005, -452837006, -452837007, -452837008, -452837009, -452837010?\n\"Answer: -p - 452837004","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 12 (b) 2 (c) 3\/4 (d) -103\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let k(b) = 3*b. Let f(r) = 770416*r**2 + 7*r. Calculate k(f(n)).\nAnswer: 2311248*n**2 + 21*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q**(-2)\/(q\/(q\/(q*q**(2\/5)*q)*q)))**12*((q**(1\/3)\/q)\/q)**(4\/5)\/(q*q**5*q*q**(-2\/7)*q) assuming q is positive.\nAnswer: q**(-5234\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let a(b) be the first derivative of -2 + 0*b - b**2 + 1\/2*b**4 + 2\/3*b**3 - 2\/5*b**5. Factor a(f).\nAnswer: -2*f*(f - 1)**2*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 1064 - 904. Which is the smallest value? (a) n (b) -1 (c) -0.4 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-3)\/(-9)*(-6)\/2*2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*v + 148 = 8*v. Does 12 divide -2 + v + 0 + 1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-192)\/(-64)*(-2)\/(-27)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Sort -1394207, 0, 8, 3.\nAnswer: -1394207, 0, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 1339 and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 563*s - 562*s - 6*k - 3224, -5*s - 3*k = -15823. Does 12 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 200952 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let s(l) be the second derivative of 1\/12*l**4 + 0*l**3 + 0 + 1\/2*l**2 - l. Let y(f) = 5*f**2 + 3. Suppose 7 + 2 = -3*u. What is u*s(h) + y(h)?\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 2174939654 to the nearest integer?\nAnswer: 1296","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let y = 3673\/2 + -1821. Let m = -153\/10 + y. Suppose -2\/5*p**4 - 1\/5*p**5 + 0*p**3 + m*p + 0 + 2\/5*p**2 = 0. What is p?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5 + 31 = 5*a - p, -4*p - 4 = 0. Let j(h) = 12*h**2 - 61*h + 7. Let w be j(5). Solve -w*c + 9 = -a*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) = u**3 - 5*u**2 + 3. Let m be r(5). Suppose 3*q - 72 = 6*q. Let v = q + 30. Solve m = -f + v for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 149987489.9 to the nearest 1000.\nAnswer: 149987000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let u(n) = -58*n. Let a(p) = p**2. Give u(a(k)).\nAnswer: -58*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate -44 + (0 - 0) + 60 + (-69 - (-14 - 0)).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 14, -10, 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Express (j - 1 + 1)*(-j + 3 - 3) + 3*j**2 - 5*j**2 - j**2 - 8 + 8 - 5*j**2 + (-2*j - 1 + 1)*(4*j - 6*j + j) in the form v + x*j**2 + f*j and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -3 + (-7 - -1 - (4 - 0 - 6))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 41294?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(245) + (5 + -1 + sqrt(245))**2 + (sqrt(245) + (-1 + sqrt(245))*-6)**2.\nAnswer: -357*sqrt(5) + 6422","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 300163507 minus 1343?\nAnswer: 300162164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 68091 is divided by 66?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 99631.22 grams in micrograms?\nAnswer: 99631220000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m = 3 - 2. Let x = 5.5 - 18.5. Is m > x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 62309301 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Convert 0 (base 13) to base 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q(r) = 7*r**2 + 238*r + 1866. Give q(-12).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let u(o) be the first derivative of 3\/2*o**2 - 2*o - 1. Calculate u(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-342)\/19*1*-4*(-6)\/36.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 26 take away -16.6?\nAnswer: 42.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:20 AM and 9:59 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*h = 4*j - 38, -13 = -4*j - 0*h + 3*h. What is the third derivative of -23*m**4 + 11*m**3 + 2*m**4 + j*m**4 + 7 + 10*m**4 + 6*m**2 wrt m?\nAnswer: -96*m + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -63*z + 81*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -w**5 - 2*w**4*y**2 - 18*w**4 - 808*w**2*y**2 - w wrt w?\nAnswer: -60*w**2 - 48*w*y**2 - 432*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 2*k**3 - 16*k**2 + 37394*k - 6728509 wrt k.\nAnswer: 6*k**2 - 32*k + 37394","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + ((sqrt(34)\/sqrt(2)*2 - sqrt(17)) + 1)*1.\nAnswer: -3 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let h be 452\/92 + -1 + 25\/23. Which is the nearest to -1\/2? (a) 0 (b) h (c) -0.07 (d) -1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose s + 16 - 18 = 0. Let d be (2 - 2)*-1 + -5 + s. Is -20\/13 > d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(187)\/(1*sqrt(11)) + sqrt(119)\/sqrt(112))*-4 - (1*sqrt(2448)*6 + 1)**2.\nAnswer: -88129 - 149*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Product of -195 and 4.\nAnswer: -780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 19? (a) -3 (b) 4 (c) 17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let q = 145 - 132.8. Let a = q + -13. Suppose 391*v - 30 = 397*v. What is the biggest value in v, -3\/5, a, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(o) = -10*o**2 + o. Let u(x) be the third derivative of 29*x**5\/60 - x**4\/12 - 464*x**2. Determine -3*u(t) - 8*w(t).\nAnswer: -7*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 65207 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Express 2*p - 2*p + 697*p**3 + 2 - 2*p**2 + p**2 + 120*p**3 in the form x*p**3 + a*p + h*p**2 + t and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, -10, 1034 in descending order.\nAnswer: 1034, -2, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 24614721?\nAnswer: 3, 2734969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 29612249263 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:39 PM and 5:06 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) -0.08 (b) -6 (c) -0.1 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 2441 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let b = -4591 + 4590.9. Is b at most 3204?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: (5 - 7) + -5 + 16\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 2468578*t**3 + 28*t**2 + 4988*t - 2.\nAnswer: 14811468","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 12*t - 9*t - 16*t + (-1 + 0 + 2)*(3*t - 4*t + 4*t) to the form r*t + d and give r.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let n = 1386 - 1392. Let m be (1 - 0) + (-28)\/32. What is the nearest to n in m, 3, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -5*v**3 + 4*v + 9 + 6*v**3 + v**3 in the form y*v + m*v**3 + u + i*v**2 and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Round -8.96464987 to one dp.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let m = 50 + -86. Let b be (20\/8)\/((-15)\/m). Suppose 0 = 4*d - b*n + 2*n + 12, -5*n = -2*d - 15. Solve l - 3*q - 2 = d, 0 = -2*l + 6*q - q + 2 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Are -18\/24787 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -322 + 16*m**3 - 6*m**2 - 3*m**2 - 9*m**3 - 6*m**3.\nAnswer: m**3 - 9*m**2 - 322","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*c + 4*m = 10, 17 = 3*c + 5*m + 3. What is the derivative of c - 2 - 2*v**3 + 3*v**3 wrt v?\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 66 (b) -0.009 (c) 0.1 (d) 4 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 10253283107 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 3*f + 12, 1 = -2*t + 3*f + 23 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose y + 18 = 191. Suppose 2*a = y + 605. What are the prime factors of a?\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4 + (-6*(2 + sqrt(704) + sqrt(704)) + sqrt(704) - (sqrt(704) + -4)*1)**2*3*-6 + -2.\nAnswer: -1825918 - 27648*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*w + x = -311, 2*x = 3*w + 6*x - 494. List the prime factors of w.\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((s*s**(-6)\/s)\/(((s\/(s*s**2))\/s)\/s))\/((s*((s\/(s*((s*s**(2\/7))\/s)\/s))\/s)\/s)\/(s\/(s*s**(-1\/4)*s))))**(18\/13) assuming s is positive.\nAnswer: s**(-621\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 889631 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -3\/4, -3, -4, -8\/7?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: -4.907 times -51\nAnswer: 250.257","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -4.60666 rounded to one dp?\nAnswer: -4.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 5 and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*(sqrt(104) + -6*(sqrt(104)*2 + sqrt(104) - sqrt(104)))*-1)\/(6*(sqrt(288) + 1*sqrt(288))*-2).\nAnswer: -11*sqrt(13)\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: -14706198 divided by 162\nAnswer: -90779","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 5, -3\/7, -3, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x**0\/x)**(-10\/3)\/(x\/x**(1\/2))**(1\/11)*((x*x*x*x**4*x)\/x)\/x*x**(-2\/3)*x*x\/(x**(-3\/5)*x)*x*x*x**(-4) assuming x is positive.\nAnswer: x**(2713\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 133 and 760.\nAnswer: 5320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Express 4*u - 214 - 309*u**2 + 432 - 218 in the form b*u + y + q*u**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 e and 1 a when three letters picked without replacement from memmeeameeeeemm?\nAnswer: 4\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let o = -2 + 1. Let r(k) = -k. Let b(v) = 11*v**2 + v + 7. Let d(i) = 20*i**2 + 2*i + 13. Let j(h) = 11*b(h) - 6*d(h). What is o*r(f) + j(f)?\nAnswer: f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0 or -2754\/2417?\nAnswer: -2754\/2417","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -54 + 28 + 65 + l.\nAnswer: l + 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 - 3 - o**3 + o**3 - 8*o**3 - o**3 + (2 - 2*o - 2)*(0*o**2 + o**2 - 2*o**2) + 3*o**3 + o**3 - 3*o**3)*(-4 + 3 - 1).\nAnswer: 12*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let v be 79*(-3)\/(-2)*-2. Let m be ((-5)\/5)\/(3\/v). Let l = -50 + m. What is the remainder when l is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -6*s**2 - 144 + 14*s + 32*s + 13*s**2 - 5*s**2 + 44.\nAnswer: 2*(s - 2)*(s + 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v**5\/3 + 805*v**4\/3 - 8817*v**3 + 277499*v**2\/3 - 1021462*v\/3 + 377208 = 0. Calculate v.\nAnswer: -837, 2, 4, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of ((-7)\/1)\/(8\/(-24))?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 8722 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*y = -11*y - 17. Put y, -2, 1 in descending order.\nAnswer: 1, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 56*x - 58*x + 8 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let d = -114 - -286. Let v be (-12)\/(-14) - (d\/(-28) - -6). Find the first derivative of 3 + 69*j**2 - v - 67*j**2 wrt j.\nAnswer: 4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 36258 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 107 minutes before 1:52 AM?\nAnswer: 12:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let n = 4.133 + -3.733. What is the nearest to -0.05 in 1, n, -2\/1069?\nAnswer: -2\/1069","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -768, -765, -768, -783, -816, -873?\nAnswer: -960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let k = 49\/16 - 327\/112. What is the nearest to 1 in 1\/3, 13\/6, -0.4, k?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-1845)\/656*((45\/75)\/((-15)\/(-20)))\/2.\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q\/q**(-4)*q**(-15)\/q)**24*((q*q\/(q\/(q\/((q\/q**6)\/q))*q))\/q**(-2\/9))\/((q\/q**9)\/(q*q\/(q**(-4)\/q))) assuming q is positive.\nAnswer: q**(-2176\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 4 in -1\/8, -1.786146, -2?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 1196853143 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence mrt when three letters picked without replacement from mmmrmrmmmmmrrmmttrr.\nAnswer: 22\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9673 = -10*m + 10777. What are the prime factors of m?\nAnswer: 5, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = x - 5*g - 20, 3*x - g - 6 + 2 = 0. Let d(z) = z**3 - z**2 + 3. Let n be d(x). Suppose -r + 40 = n*r. Is r a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be (60\/(-8) + 7)\/((-33)\/(-12)). Let k be ((-4)\/(-75))\/((-12)\/30). What is the closest to -1 in 3, l, k?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(w) = 3*w - 8. Let m(x) = 4*x - 9. Let o = 67672 - 67666. Let l be (2\/(-2))\/(-3)*6. Suppose 0 = -r - l*r - 15. Calculate o*h(d) + r*m(d).\nAnswer: -2*d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 1598773325 to the power of 1\/3, to the nearest integer?\nAnswer: 1169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate -155008 divided by 2.\nAnswer: -77504","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let x(k) = 77*k - 155*k + 41 + 76*k. Let v be x(19). Solve -4*g - 12 - 13 = v*a, a + g + 7 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 866, 879, 896, 917?\nAnswer: 942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -14832*c**3 - 40285 with respect to c.\nAnswer: -44496*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (0\/5)\/(-1)*(-1)\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort -1\/5, -3\/8, 81, -1\/2, -6.\nAnswer: -6, -1\/2, -3\/8, -1\/5, 81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2? (a) 2\/13 (b) -0.9 (c) 2\/9 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let c = -151\/24 - -47\/3. Find the common denominator of 26\/3 and c.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -1 and -469981.88.\nAnswer: 469981.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 155995 to the nearest integer?\nAnswer: 395","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let u(i) = -i**2 + 12*i - 15. Suppose -2*m + 24 = 2*n, -3*m = 5*n - m - 57. What is u(n)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*v - 2*o + 72 = 0, 0 = 8*v - 3*v - 4*o - 142. Which is the closest to 3? (a) v (b) 0 (c) 0.4 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: -57 divided by -29382\nAnswer: 19\/9794","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate 6 divided by -236.\nAnswer: -3\/118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*l + 0*l + 2*l**5 + (-2*l**3 + 4*l**3 - l**3)*(-2*l**2 + 2*l**2 - 2*l**2) - 4*l**5 + 0*l**5 + 5*l**5 + 232*l**5 - 531*l**5 + 242*l**5.\nAnswer: -56*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let n = 18 + -18. Suppose -a - 19 + 130 = n. Suppose 3*d = -t + 35, 3*t + d - a = -2*d. What are the prime factors of t?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 33071 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 455 is divided by 115?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let f be 27 - (2 - (1 - 0)). Let l(c) = -f*c - 26*c + 37*c - 40. Is l(-13) a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -40771*f**2 + 60*f - 6602647?\nAnswer: -81542*f + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Factor j**3 + 1440*j**2 - 77584*j.\nAnswer: j*(j - 52)*(j + 1492)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let h = 1715 - 1713. Let u be ((-32)\/(-50))\/((-6)\/(-15)). Factor -2\/5 - u*j - 4\/5*j**3 - 2*j**h.\nAnswer: -2*(j + 1)**2*(2*j + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(d) = -19*d + 3021. Let h(a) = 7*a - 1006. Calculate -4*f(c) - 11*h(c).\nAnswer: -c - 1018","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let v = 0.0689 - 4.0689. Sort -2, v, -0.4, -8\/7 in increasing order.\nAnswer: v, -2, -8\/7, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*m = -7*q + 3*q - 1721, -2*q + 347 = m. Suppose 7*z - m = -205. Calculate the least common multiple of z and 50.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose i = 4*q + 17, 0*i - 3*i + 7 = -q. Solve 2*s + 3*l = -22 + 3, 0 = -s + 2*l + i for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(o) = 4*o**2 - 18*o - 16. Let u be l(8). Suppose 119*r = u*r + 26542. Is 104 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 23*l - 24*l + 3*b + 16 = 0, -2*b = 3*l - 15. Let m(z) = 44*z**2 - 6*z + 7. Let o(w) = 15*w**2 - 2*w + 2. Calculate l*o(c) - 2*m(c).\nAnswer: 17*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let j = -0.01 + 0.05. Let r = 3.04 - j. Which is the second biggest value? (a) r (b) -1\/3 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 704 minutes before 10:43 AM?\nAnswer: 10:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand (-19 - 24 - 6)*(2*y**4 - 5*y**4 + 0*y**4 + (y**3 - y**3 - 2*y**3)*(4*y + y - 7*y)).\nAnswer: -49*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let w = -11 + 13. Put w, 5, -1 in decreasing order.\nAnswer: 5, w, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(t) = t. Let f = -199\/3 + 67. Let n(k) be the second derivative of 3*k - f*k**3 + 0 + 0*k**2. Determine v(n(x)).\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let w(r) be the second derivative of -17*r**6\/15 + r**4\/12 + 43*r**3\/6 - 21*r + 2. Find the second derivative of w(t) wrt t.\nAnswer: -408*t**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(c) = -11*c + 59. What is l(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*z + 2027 = 3*n, -3*z = 4*n - 4410 + 1705. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 2629\/36 - 637\/9. Suppose 9 = 2*d + d. Let x be (1 - 3) + 10\/3. Which is the biggest value? (a) x (b) d (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -112196.3008 rounded to the nearest one hundred?\nAnswer: -112200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let x(m) = -3*m. Let c(y) = -5*y. Calculate x(c(s)).\nAnswer: 15*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 2309 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate -14282 divided by -9310.\nAnswer: 7141\/4655","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Add together 1016.2 and 0.2103.\nAnswer: 1016.4103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 36365201.\nAnswer: 31, 79, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify -6*(5 + (-2*sqrt(250)*2 + sqrt(250))\/(sqrt(20)\/sqrt(144))).\nAnswer: -30 + 540*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 110419621 to the power of 1\/5, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2 in -5, 4755, 3\/5, 4?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -27 + 447*w + 445*w - 1335*w + 454*w + 27.\nAnswer: 11*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 406009*a*b + 38*a - 676 with respect to b.\nAnswer: 406009*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.66 + 151.\nAnswer: 151.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 3\/7, 1\/3, -0.4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let s(f) = -4*f**3 - 1191*f**2 - 40*f + 5. Let w(z) = 10*z**3 + 2978*z**2 + 96*z - 12. Determine -12*s(o) - 5*w(o).\nAnswer: -2*o**3 - 598*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Put -0.28, 0.2, 2 in ascending order.\nAnswer: -0.28, 0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 22746036 to the nearest integer?\nAnswer: 283","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:05 AM and 2:53 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 2629711522 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 137811, 137809, 137807?\nAnswer: 137805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((45\/(-21))\/5)\/(34\/(-1190)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 150301 is divided by 6234.\nAnswer: 685","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4*j + 4*j - 19*j**3 + 4*j**3 + 23*j**3.\nAnswer: 8*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let t(u) = 4*u + 3. Let m(g) = 4*g + 4. Let s(w) = -6*m(w) + 8*t(w). Let j(x) be the third derivative of -x**5\/12 - 562*x**2. Calculate s(j(c)).\nAnswer: -40*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 56170253 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence qcqq when four letters picked without replacement from {q: 3, c: 11}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (10\/(-225))\/(4\/10)*(-4)\/24*2.\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*d + 0*d - 9 = 0, 2*o - 13*d - 8*d = -13*d + 30 for o.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1358351, -2716708, -4075065, -5433422, -6791779?\nAnswer: -8150136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let s = -4.52 + 202.52. Let n = s - 197.9. Which is the nearest to -1? (a) -2 (b) n (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 26102 to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -c + 2779185 = 6*j + 4*c, 5*j - 2315988 = -4*c. Round j to the nearest 10000.\nAnswer: 460000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 143, 1151, 3977, 9527, 18707, 32423, 51581, 77087?\nAnswer: 109847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 60*j = 4*g + 61*j + 49, -g + 1 = -3*j + 10 for g.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -427 - -434?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let u = 0.0399 + -0.1628. Let c = 0.115 + u. Round c to 3 dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h**(-2\/13)*h*h*h*h*h**2*h*h)**(-5\/2) assuming h is positive.\nAnswer: h**(-255\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Sum -9313326 and 38.7.\nAnswer: -9313287.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Factor 415874449*z**3\/3 - 536893832087*z**2\/3 - 105309448*z\/3 - 5164\/3.\nAnswer: (z - 1291)*(20393*z + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let k(t) = -22*t**2 + 2*t + 2. Let j(h) be the first derivative of h - 3*h**3 + 3 + 1\/2*h**2. Determine -12*j(b) + 5*k(b).\nAnswer: -2*b**2 - 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 3054 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.1 in -0.7, -2\/3, -1, 2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let s(j) = 15*j**2 - 73*j + 2. What is the smallest common multiple of 156 and s(6)?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2303035 (base 6) in base 16?\nAnswer: 1ca3f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 395628969 and 321?\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let f(g) = -6*g + 99. Let r be f(17). Which is the nearest to 1? (a) r (b) 4 (c) 13 (d) 1\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(g) = -g**3 + 143*g**2 - 5068*g - 78. Give b(65).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let y(n) = n**3 - 6*n**2 - 11*n + 30. Determine y(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d\/d**(3\/2)*d**(-6\/7))**(2\/105) assuming d is positive.\nAnswer: d**(-19\/735)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let c be (3 + -2 - 100)*35\/(-15). Let d = c + -229. Calculate the greatest common divisor of 2 and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2842.91472538654 take away -0.1?\nAnswer: -2842.81472538654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate -6.40889 + 1.2.\nAnswer: -5.20889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) = u + 13 - 12 - 3. Let y(c) be the third derivative of c**4\/12 - 5*c**3\/6 - 593*c**2. What is 5*r(a) - 2*y(a)?\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -33*s - 14168 - s**3 + 8420 + 6820 + 251*s wrt s?\nAnswer: -3*s**2 + 218","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: 0 + -1 + (3 - 1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t = 5 - 5. Let u = t - 3. Let d(a) = -a**2 - 4*a - 3. Give d(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -24 + -32. Let k = c + 86. List the prime factors of k.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 32 and 2272?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4651768325?\nAnswer: 5, 2689, 69197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -65*m = 72*m + 139*m - 85*m + 19673 for m.\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 37 a factor of 156093?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -30*s**4 - 334*s**2 wrt s?\nAnswer: -720*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 0, -251, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let p(h) = -180 + 95 + 5*h + 102 - 4*h**2 - h**3. Let x be p(-7). What is the greatest common factor of x and 301?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 626060, 626063, 626066, 626069?\n\"Answer: 3*b + 626057","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:23 AM and 7:23 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let s = 1 - 0. Let w(n) = -n**3 - 24*n**2 - 46*n - 58. Let y be w(-22). Put -1, y, s in ascending order.\nAnswer: y, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 4293 and 29322?\nAnswer: 1554066","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -538? (a) -3 (b) -1\/2 (c) 2\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 505134521?\nAnswer: 47, 113, 95111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 125\/1402488 and -11\/130464?\nAnswer: 5609952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Express -1 + 458*n + 1 + 0 - 757*n in the form j*n + q and give j.\nAnswer: -299","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 30933001 to the power of 1\/2, to the nearest integer?\nAnswer: 5562","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let x(d) = 647*d + 21371. Calculate x(-33).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Divide -3 by 32814.\nAnswer: -1\/10938","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 437124?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence kk when two letters picked without replacement from {k: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:36 AM and 9:09 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve q + 3*h + 1 = -1, 0 = -h for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 3700 and 467300?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -3715816 (base 9) in base 13?\nAnswer: -5589cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Does 1533 divide 113125697?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1010376558.\nAnswer: 2, 3, 1223, 15299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let w(a) = -a**3 + 35*a**2 + 147*a - 1403. What is w(38)?\nAnswer: -149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {i: 3, s: 8}. Give prob of sequence sss.\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -13\/103518 and 77\/2304.\nAnswer: 13250304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let h(d) be the first derivative of d**4\/4 - 7*d**3\/3 - 13*d**2\/2 + 3*d + 11. What is the tens digit of h(9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-5)\/3)\/((-2)\/((-16)\/2600*-90))?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 461*v + 1917*v + 2056*v - 722*v to a*v + g and give a.\nAnswer: 3712","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let a be (24\/21)\/(10\/35). Suppose -12 = -0*u - 4*u, 4*u + a = 4*y. Solve -y*i + 12 = -0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -12029, -11811, -11445, -10931, -10269, -9459, -8501?\nAnswer: -7395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 1 bigger than 299\/703?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 9*n**2 - 9 + 6*n**2 + 12*n**2 - 7*n**2.\nAnswer: 20*n**2 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is twenty-one fifths of a millimeter in micrometers?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1120976547.\nAnswer: 3, 373658849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*t**2 + 0*t**2 + 2*t**2 + t**2 + 2*t**2 - 2*t**2 + 2 - 2 + 2*t**2 - t + t - 2*t**2 + (1 - 3 + 3)*(2*t - 2*t - t**2) + 0*t**2 - 3*t**2 + t**2.\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let p(o) = 5*o**2 - 7*o - 1. Let h(v) = 2*v**2 - 2*v. Suppose -28*u + 6127 = 6183. Give u*p(c) + 7*h(c).\nAnswer: 4*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let m be 0*((-14)\/77)\/(6\/(-33)). Solve b - 5 = w, m*b = -b + 5*w + 5 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of (-208)\/(-14) + 126\/(-147) and 22?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 3*n**3 - 273331*n**2 + 313*n - 151?\nAnswer: 18*n - 546662","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let j = -2.07 - -0.07. Let h be (-36)\/96 + 6\/16 + -5. Which is smaller: h or j?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -2\/7 (b) -7 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let z(w) = -5*w - 93. Let d be z(-30). Solve 0 = 10*o + d - 7 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -24\/5*x**2 - 48\/5*x - 4\/5*x**3 - 32\/5.\nAnswer: -4*(x + 2)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 187651 - 92670. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -8395, -6384, -3019, 1700, 7773, 15200?\n\"Answer: 677*c**2 - 20*c - 9052","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -5409 divided by 3?\nAnswer: -1803","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 100 (base 14) in base 6?\nAnswer: 524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-24 - 1)*(-4)\/20. Let o(v) be the third derivative of 0*v**4 + 0*v - 1\/12*v**5 - x*v**2 + 0 + 0*v**3. Let t(a) = 2*a**2. Give t(o(n)).\nAnswer: 50*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -16\/23 (b) 3.1 (c) -6212\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let b = 625 - 617. Put -6, 4, -1, b in increasing order.\nAnswer: -6, -1, 4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -23686053*b + 23686051*b - 3*f + 23 = 0, f - 51 = -4*b for b.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 132450301.\nAnswer: 131, 1011071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let p(y) be the third derivative of 0*y**3 + 0 + 7\/24*y**6 + 0*y - 13\/60*y**5 + 0*y**4 - 24*y**2. Find the third derivative of p(a) wrt a.\nAnswer: 210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1085 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 12 and 55104717?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -17*a + 16*a - 4*o + 6089 = 0, -4*o - 24436 = -4*a. Does 11 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4254?\nAnswer: 2, 3, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 12\/18718411 and -49\/296.\nAnswer: 149747288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let s = 52 + -47. Suppose -6*x = -65 + s. Suppose w = x*c - 6*c - 4602, c + 4*w - 1159 = 0. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be 3 + -2 + 3 + 90\/(-21). Let y(j) = j**2 - 8*j + 8. Let t be y(7). What is the smallest value in t, p, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be (298\/4)\/(8\/144). Suppose f + 8579 = 32*c. Round c to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 409976 divided by -4.\nAnswer: -102494","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -187, 591, 1369?\nAnswer: 2147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 x, 1 t, 1 u, and 1 j when four letters picked without replacement from tusxjssstsststtx?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*i - 10 = 5*u, u + 3*i - 28 = -34 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -835840 + 835840 - 2*w.\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((m**10\/m)\/(m\/m**(-3\/10)))**49)**(-7\/5))**(-1\/66) assuming m is positive.\nAnswer: m**(2401\/300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 358 a factor of 23471?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let z = -325 + 329. Let x be 4\/6 + (-6 - -6). Which is the closest to x? (a) 0.3 (b) -4\/3 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-6)\/(-8) + 40\/32 - -46. Find the second derivative of 10*m - v*m**2 + 19*m + 38*m**2 wrt m.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -9 = 6*j - 3 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 4 + 4740308?\nAnswer: 4740313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 744 and 108912.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-6 - 210\/(-36))\/(12\/54). Put s, 61\/5, -3 in decreasing order.\nAnswer: 61\/5, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(p) = 6*p**2 + 4*p - 5. Give d(-4).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -0.5, -1.36, -0.07, 0.0814?\nAnswer: 0.0814","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose p**3\/2 - 2*p**2 + 3*p\/2 = 0. What is p?\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from hhhhxhhhxhhhhhhhhx. What is prob of sequence hxh?\nAnswer: 35\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 583 (base 12) in base 3?\nAnswer: 1010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k(r) = 2*r**2 - 2*r + 4. Let s be k(2). Are s and 6 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 124*g**6 + g**5 + 89*g**2?\nAnswer: 14880*g**3 + 60*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6 = 4*g - 2. Suppose 0 = -g*t + 5*h, 4*t + 0*h = -3*h + 52. Let i(j) = -j**3 + 7*j**2 - 7*j + 9. What is the remainder when t is divided by i(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be 68\/3*318\/(-212). What is the nearest to 1\/3 in -10\/11, 2, -2, q?\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(i) = 5*i**2 - 133*i + 402. Give k(23).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let n(c) = -c**2 - 17*c - 12. Let w be n(-13). Suppose 0 = 3*g - 4*g + 12. Let l be (w\/g)\/((-2)\/(-84)). Calculate the greatest common divisor of 20 and l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 0 - 3. Let v be 63\/45 - ((-4)\/(-4) + 0). What is the fourth biggest value in v, -5, j, 1\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*h + 2*k - 21 = 0, -2*k = -5*h - 3*k - 22 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let u = 37.59 + -0.59. Let m = u - 37.00000047. What is m rounded to seven decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00612749561 to 4 dps.\nAnswer: 0.0061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 254 minutes after 9:34 PM?\nAnswer: 1:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 311 - -100?\nAnswer: 411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 231448 - 12*s**2 - 231448.\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 55\/2 of a kilometer in meters?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b(v) = 24*v**2 + v - 2. Let g be b(1). Let d = g + -63. Let n = d - -70. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -4465 - 10?\nAnswer: -4475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -10*l**3 + 24*l**3 + 7*l**3 - 13*l**3 - 6*l**3 - 10*l**3 - 2*l**2.\nAnswer: -8*l**3 - 2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let w = -493 - -530. What is the remainder when 923 is divided by w?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -1, -242, -0.2, 0.0665, 2, -4 in descending order.\nAnswer: 2, 0.0665, -0.2, -1, -4, -242","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let a be -3 + 0 - (2 - 1)\/1. Is (-9928)\/12*6\/a a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (2*i + 5*i - 6*i)*(9540*i + 228*i + 432*i + 4191*i + 4580*i) as z*i**2 + s*i + u and give z.\nAnswer: 18971","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let j = 30 - 43. Let d(k) = -k**3 - 2*k**2 + 4*k - 1. Let f be d(-4). Let z = f + j. Solve 6*b = -m + 5*b - 4, 2*m - 4*b = -z for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from tttptttptttptt. Give prob of sequence tttt.\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 7819 and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let k(i) = 2*i**3 - 27*i**2 - 44*i - 10. Let t be k(15). Suppose -2*q = -2*p - 6*q, t*p = -5*q. Solve -3*b - 7 + 19 = p for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be 970 + ((-2)\/(-1) - 1). Suppose b = -4*l - 194, b + 21 = 2*l - 155. Let u = b + g. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 20158 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-9)\/63*-7 - -3. Put 3, y, 9, 2 in descending order.\nAnswer: 9, y, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 6383 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-428 + -177)*(-2)\/(1*6). Which is smaller: 203 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-6 + 2 + 1 - 1 + 3 + 0 + (-1 - 2 + 1)*(-2 + 0 + 3))*(-4*p**4 + 3*p**4 + 0*p**4).\nAnswer: 3*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 3556, 7038, 10594, 14218, 17904?\n\"Answer: -o**3 + 43*o**2 + 3360*o + 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -10*m**3 + 7 - 54*m**3 - 3 - 4.\nAnswer: -64*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 14563 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 10883931, 10883932, 10883933, 10883934, 10883935, 10883936?\nAnswer: 10883937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (5*a - 3*a - 7*a)*((3*a**3 - 5*a**3 - 3*a**3)*(-1 - 2 + 4) + (a**2 + 0*a**2 + 2*a**2)*(5*a + 0*a - 2*a)).\nAnswer: -20*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let l = 3 + -2. Let f = l - -1. Suppose -5*w = 2 - 7. What is the nearest to w in 5\/3, -3, f?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -571879822*g**3 + 843803081*g**2 wrt g?\nAnswer: -3431278932","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Round -41.037286 to one dp.\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 54 is divided by 47.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let h = 32 - 39.5. Let q = h + 8. Which is the nearest to -1? (a) -2\/11 (b) q (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be 6*8\/12 + 2. Let u = 43 - y. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -765487.00004169 - 15978370.99996221. Let x = h - -16743867. Let w = x + -9. Round w to 6 decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: (((-729)\/(-162))\/(((-63)\/20)\/(-3)))\/(3275\/27510)\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (5*a - 2*a - 4*a)*(71*a + 59*a + 43*a) to the form f*a**2 + i + j*a and give f.\nAnswer: -173","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Factor -639\/7*i**2 + 3\/7*i**3 + 360*i - 2508\/7.\nAnswer: 3*(i - 209)*(i - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 1144, 2083, 3022, 3961, 4900?\n\"Answer: 939*o + 205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Put -13, -749, -1, -151, 5, -4, 4 in decreasing order.\nAnswer: 5, 4, -1, -4, -13, -151, -749","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((w**2\/w)\/(w*w**7)*(w**(2\/5))**(-10\/3))\/(w**(2\/3)\/(w**(-1\/6)*w)*(w**(-1)\/w*w)**18) assuming w is positive.\nAnswer: w**(59\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let c(h) = h + 1. Let b be c(-4). Let s be (-2)\/b*18\/4. Let w = -2 + s. What is the third smallest value in w, 5, 0.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 30203854?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -113004317*l**3 - 2482*l + 20279 wrt l.\nAnswer: -678025902*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let s(r) = 184*r + 33448. What is s(-182)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 59\/226000 and 133\/28069200?\nAnswer: 140346000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = f + 4*m + 50, -1263 = -21*f + 5*m - 1156 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-18)\/(9\/(54\/(-18))))\/((-3)\/(63\/(-49))).\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y be (2 + (-22)\/4)*2. Let w = y + 15. Let l = 6 + w. Calculate the lowest common multiple of l and 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 45*p - 50*p - 10 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 71946*b = 72454*b - 8636 for b.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 1139 and 3179?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*n - 0*n + 4*f - 12, 3*n + 16 = 2*f. Let i = n + 6. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5 = 2*d - p - 4, d - 5*p + 18 = 0. Factor 2*t**2 + 3*t**3 + 4 + 6*t**2 - 12*t**2 - 10*t + d*t**3.\nAnswer: 2*(t - 1)*(t + 1)*(5*t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-50 - -24) + 17 + 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (((-12)\/(-135))\/(-2))\/((-8)\/40).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let v(t) = -1402*t**2. Let c(d) = -d. Calculate c(v(u)).\nAnswer: 1402*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 71732?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from eexeeeeexeeeeeeeexee. What is prob of picking 2 x?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 583358 and 62.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (3*d - 4*d + 0*d)*(1 + d - 1)*(3*d + 9*d + 3*d) to the form v*d**3 + n + h*d + k*d**2 and give v.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 5489 is divided by 166.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-180)\/(-648)*(-8)\/10?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(440)\/(-4*(sqrt(90) + sqrt(10)) - sqrt(10)))\/((sqrt(4) + 2*sqrt(144) - sqrt(4))*5).\nAnswer: -sqrt(11)\/1020","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*i - i = 20. Let m be 140692\/(-170) + (-2)\/5. Let v = m - -830. Solve i = -v*g + 6 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 110364869 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let k(h) be the second derivative of -58*h**6\/15 + 123*h**2\/2 + 9*h - 12. What is the first derivative of k(p) wrt p?\nAnswer: -464*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -20, 33, -3, 1, 0, 5, 3 in decreasing order.\nAnswer: 33, 5, 3, 1, 0, -3, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.1 and -12846179.\nAnswer: -1284617.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -16 - -5 - (32 + -59).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.203 * -1.\nAnswer: -0.203","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*z = 4*z - 217. What is the remainder when z is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 10905, 43633, 98181, 174549, 272737?\n\"Answer: 10910*a**2 - 2*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 0 < 14\/11099853?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let y be 100\/(-10)*30\/4. Let h be 68\/2*(-1)\/2. Let j = h - y. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 65 - 101. Is (-6)\/(-27) - 2656\/o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 7 + -5. Suppose -3*l + 5*q = -0*q - 6, 2*l - f = 4*q. Solve 1 - l = 2*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -16 + 16. Suppose a = 18*w - 694 - 4400. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 4728 (base 9) to base 16.\nAnswer: db5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose d + 5 = 0, 4*d = 4*y - 17 - 3. Suppose -5*l - o + 48 = 0, 0 = 3*l - y*l + 2*o - 33. Solve 4*i + 4*a = -20, 2*i + l + 7 = -4*a for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*a - 1409 = 2383. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be 5 - (-7)\/(28\/(-16)). What are the prime factors of (t + -2)*(-1 - (0 + 3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((p\/p**(-1\/6))\/(p*p**4))**(2\/57) assuming p is positive.\nAnswer: p**(-23\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((6*(sqrt(192)*-2 + sqrt(192)) + sqrt(192))*-1)**2.\nAnswer: 4800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let r(j) = j**3 + j**2 + j - 2. Let f be r(1). Let x(l) = l - 8. Let q be x(7). Sort -4, f, q in decreasing order.\nAnswer: f, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2413*g**2 - 6764*g**2 + 18858*g**2.\nAnswer: 14507*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -56, -265, -836, -1949, -3784, -6521, -10340, -15421?\n\"Answer: -30*r**3 - r**2 + 4*r - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Put -9, -2.2, 0.982 in decreasing order.\nAnswer: 0.982, -2.2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let -1508\/9*p**2 - 2*p**3 - 386\/3*p + 332\/9 = 0. Calculate p.\nAnswer: -83, -1, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -82b83 (base 13) in base 11?\nAnswer: -150499","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 51979 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let y(t) = t**3 + 4*t**2 + 2*t + 8. Let g be y(-4). Suppose -12 = -5*w - 4*n, -2*n + 0 - 4 = g. Solve -4*c + 0*c - h + 9 = 0, 0 = 2*c + w*h - 8 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 519.\nAnswer: 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 38*t - 32*t - 762. Is t a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 211 - 20201201121?\nAnswer: -20201200210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let l(i) = -9*i**2 + 2385*i - 11711. Calculate l(260).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -208, -224, -242, -256, -260, -248, -214?\nAnswer: -152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 563*m - 5643 - 846 - 39677 = 0 for m.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 1161148979?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a**0*a*a**(-5)*(a\/a**(-4))\/(a**(-4)\/a))**(-2\/33) assuming a is positive.\nAnswer: a**(-4\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -4 - -13e18?\nAnswer: 13e14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*w = -8409 + 8475 for w.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((o\/(o\/o**(-3)))**(-9))**15 assuming o is positive.\nAnswer: o**405","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let a = 41 - 34. Suppose 5*x + 0*x = 3*z - 1, a = z + 5*x. What is the tens digit of 110\/(-4)*(z + -4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: (636\/(-689))\/((-13)\/((-2535)\/(-70)))\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:58 AM and 3:37 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 2 + (-18 - (-10 + -2)) + 25?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -41\/300 and -151\/6309420.\nAnswer: 31547100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let f(r) = -3. Let y(j) = j + 6. Let b(g) = 2*f(g) + y(g). Let o(d) = -154*d + 1. Give b(o(w)).\nAnswer: -154*w + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -w**4 - 8933980*w**3 + 37*w**2 + 99430*w - 2 wrt w.\nAnswer: -24*w - 53603880","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let w = 157 - 147. What is the highest common divisor of w and 730?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(i) = i**2 + i. Let x(g) be the second derivative of g**4\/6 + g**3 - g - 108. What is -3*l(n) + x(n)?\nAnswer: -n**2 + 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 12\/(-3)*((-1404)\/8 + -3)?\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(1617) + (-3*(sqrt(1617) + sqrt(1617)*3) - sqrt(1617)))*6)\/(((sqrt(1100) - -2*sqrt(1100))*-5 + sqrt(1100) + sqrt(1100))*6).\nAnswer: 42*sqrt(3)\/65","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 c and 2 t when three letters picked without replacement from ipqccictccitiq?\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 50241, 100490, 150737, 200982, 251225?\nAnswer: 301466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 3353, 6616, 9879, 13142, 16405?\n\"Answer: 3263*i + 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let i(h) = 4*h**2 - 2. Suppose -88*c = -93*c - 15. Let g(a) = -5*a**2 + a + 3. Calculate c*i(s) - 2*g(s).\nAnswer: -2*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k**(-1\/5)*k)**(2\/107)*k**(-11)\/k**0 assuming k is positive.\nAnswer: k**(-5877\/535)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Put together 838 and -2222.\nAnswer: -1384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -222 + 231 + (16 - -1) + -16 - -106.\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 43 = 2*z + 7. Suppose 2*h + z*h - 80 = 0. Suppose f = -h*w + 37, 7*w - 2*w = 4*f + 20. Solve -2*q + w = 0, 0 = 2*m - 2*q - 0 + 10 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 12 + -8. What is the first derivative of -1 - 4*u**2 + 4*u**3 + r + 4*u**2 wrt u?\nAnswer: 12*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be 709*60 - 0\/1. Let f = -78625 - -116825. Suppose -5*l + f = 2*y, 5*y - s = -l + 52960. Round y to the nearest one thousand.\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j\/(j\/(j**(-2\/69)*j))*j**(-2\/7))\/((j**(-10\/11)\/j)\/j*j**(-5\/7)) assuming j is positive.\nAnswer: j**(22892\/5313)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let w = 895.9 - 844. What is w rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -7b5 + -7?\nAnswer: -7bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 2661*j**2*x + 56*j**2 - 3455722*j*x wrt j.\nAnswer: 5322*x + 112","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 0 (b) 11 (c) 2 (d) -5 (e) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let r(g) = 12 - 2*g + 3*g + 7 - 6. Let a be r(-8). Let t(y) = -y + 2. What is t(a)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*s**3 - 2*s**3 + 4*s**3)*(-7 + 2 - 3)*(-4 + 6 - 3)*(s - 5*s + 3*s).\nAnswer: -32*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 24272 a multiple of 148?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1893*w**3 - 245 + 245.\nAnswer: -1893*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*o - 7 - 2, 2*i - 9 = 3*o. Let r = 41 + i. Does 17 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (4\/(-3))\/((-10)\/15). Let h(q) = 11*q - 11*q + k*q**2. Let i(g) = -6*g. Determine i(h(p)).\nAnswer: -12*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*w + 69 - 285 = 0. Is w a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3 + 5 - 4 - w)*(-2*w + 2*w - 3*w) - w - w**2 + w.\nAnswer: 2*w**2 + 6*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n**5*n**(-1\/16)*n)\/((n\/((n**(-21)\/n)\/n)*n*n*n)\/(n\/((n**1\/n)\/n))) assuming n is positive.\nAnswer: n**(-305\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -1 - 57cb3?\nAnswer: -57cb4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ixpkxbppixbx. What is prob of sequence pbb?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let a(w) be the first derivative of -w**5\/20 + w**4\/4 - w**3\/3 + 4. Let q(n) be the third derivative of a(n). Let u(f) = -7*f + 7. Calculate 5*q(x) - 4*u(x).\nAnswer: -2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 25558, 25559, 25560, 25561?\nAnswer: 25562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: -382+-3489141\nAnswer: -3489523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let i(o) = -1115*o - 8. Let z(t) = 1118*t + 6. Determine -4*i(l) - 5*z(l).\nAnswer: -1130*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -16 = 4*t, 652*t = -4*s + 654*t + 28 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 14591 is divided by 68.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*v + t + 6602, 115*t - 114*t = -5*v + 16484. What is the remainder when v is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 87, 170, 253, 336, 419, 502?\nAnswer: 585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -7*j - 392 = -11*j + 102*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let q be -2 - (-1 - 3 - 539\/(-66)). Let m = -35\/6 - q. Let r = 0.3 + -0.2. Which is the third smallest value? (a) -6 (b) m (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 12 divide 1723226?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let g(x) be the third derivative of x**5\/60 + x**4\/12 - x**3\/6 + x**2. Let l be g(2). Let i = -28 + 49. Calculate the greatest common factor of i and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -7.15 - -3.1. Let u = -4 - r. Let p = u + -0.45. Which is the smallest value? (a) 2\/7 (b) p (c) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(x) = -x**3 + 11*x**2 - 11*x + 3. Give y(10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let a(k) = 11*k**2 + 6*k + 7. Let m be a(-1). Suppose 0 = -5*r + 5*t + 45, 2*r - 6*t - m = -t. Calculate the greatest common divisor of 11 and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor z**3 - 5*z**2 + 7*z - 3.\nAnswer: (z - 3)*(z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Do 1079 and 1155 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let l(u) = -2*u**2. Let n(d) = 2*d + 616. Calculate l(n(f)).\nAnswer: -8*f**2 - 4928*f - 758912","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-206)\/2 + 2 + -7. Let j = -104 - o. What is the remainder when 11 is divided by j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 858 + 293. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1 + (0 - 0 - 0) + 2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*sqrt(5103) + sqrt(504)\/(sqrt(24)\/sqrt(3)))\/(sqrt(36)\/(sqrt(12)\/sqrt(3)*2 + sqrt(4))) + -1.\nAnswer: -51*sqrt(7) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*h**3 - 18*h**2 - 201*h - 180.\nAnswer: 3*(h - 12)*(h + 1)*(h + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*z = -8 - 12. Let s(f) = -2*f - 6. Let p(l) be the third derivative of -5*l**2 + 13\/6*l**3 + 0 + 1\/6*l**4 - 11*l. What is z*p(w) + 9*s(w)?\nAnswer: -2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 4281250 and 6750?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let v be ((-2)\/(-14)*-1)\/(((-1440)\/56)\/15). What is the biggest value in v, -0.4, 3\/5, -5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 348 - 204. Is 24 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 32183 is divided by 108.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (0*m + 3*m**2 - 26*m**2 + 0*m)*(-m**2 + 3*m**2 + 0*m**2) to the form c*m + l*m**3 + i*m**2 + j + q*m**4 and give q.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {f: 4, y: 1, a: 1, b: 2, z: 3, j: 1}. What is prob of picking 1 a and 2 f?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5 + 1 + 2)*(-1 - 2*p**3 + 1)*(28*p - 45*p - 44*p - 41*p).\nAnswer: -408*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 32*y = -33*y + 21*y + 176 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let r be (28\/6)\/((-56)\/401772). What is the hundreds digit of r\/(-105) + 10\/75?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(z) = -12*z + 1. Let u(y) = 36*y - 2. Let x(p) = 7*c(p) + 2*u(p). Let g(m) = m**2 + m + 1. Let q(d) = -3*g(d) - x(d). Let q(s) = 0. Calculate s.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(u) = -12*u + 2. Let s be b(-2). Let a = s - 17. Suppose -a = -4*i - d + 124, d = -5*i + 167. What are the prime factors of i?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -3 (b) 61 (c) 20957 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*t + 2*t - 12572 = -5*k, -3*t + 3*k = -9429. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -148*0.4.\nAnswer: -59.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 31\/576 and -19\/483116?\nAnswer: 69568704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 33835?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 29474?\nAnswer: 2, 14737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 41\/27268 and -59\/306.\nAnswer: 245412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 1651 and 2008505.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -11 - 77*t + 26*t + 11.\nAnswer: -51*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 140205485*b**2 + 3*b + 17319960 wrt b?\nAnswer: 280410970","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: (-3 - 0) + 1 + -3 + (-594 - -587)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 5 a factor of 407?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Are -1401 and -40656\/29 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify o**6*o\/o**(-10)*((o**(14\/3)*o)\/o)\/o**(-4\/5) assuming o is positive.\nAnswer: o**(337\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let s(t) = -6*t**2 + 2*t - 1. Let a be s(1). Let j(d) = -d**2 - 6*d - 1. Let c be j(a). Suppose -c = -2*o + 4. Solve 0 = -4*q - 4*n, 0*q - 2*n + o = 4*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16*n = -37*n + 17*n + 312048. Calculate the highest common factor of 44 and n.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -30 + 37. Let u(i) = -i**2 + 6*i + 11. Let n be u(q). Put 2, n, -5 in ascending order.\nAnswer: -5, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 35, 19, 3?\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7 = 2*i - j, 0*i + 4*j - 38 = -3*i. Let y = i - 0. Which is smaller: y or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 23779*a*k*w*y**2 + 2*a*w*y - k*w*y - 466*k*y - 4*w*y**2 - 8539369*y with respect to k.\nAnswer: 23779*a*w*y**2 - w*y - 466*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 40380438 to the power of 1\/2, to the nearest integer?\nAnswer: 6355","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let u(z) be the second derivative of 0 - 3*z - 96667\/6*z**3 + z**2. Let q be u(6). What is q rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:22 PM and 1:45 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-8)\/(-92)*((-7 - 0) + 8). Let b = -91\/3 - -31. Put n, b, 0.05 in decreasing order.\nAnswer: b, n, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-13)\/(((-3)\/(144\/6))\/(1\/(-4))).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 3 - 6446?\nAnswer: -6443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {z: 1, b: 2, g: 1, i: 5, f: 2, v: 6}. Give prob of sequence ib.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m**(-1))**(-10)*m*m*m*m*(m**(-1\/20)\/m)\/m*m\/m**(-14) assuming m is positive.\nAnswer: m**(539\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*x - 3*m = 37, 7492 - 7533 = -5*x + 2*m for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.1? (a) 28 (b) 2 (c) 5 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let p = 62 + -102. Let b = -40.00115 - p. What is b rounded to 4 decimal places?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is (-270)\/(-2) - (-28)\/7 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(h) = 15*h. Let a(o) = -7*o. Let x(n) = 13*a(n) + 6*f(n). Let r(p) be the second derivative of 0*p**2 + 14\/3*p**3 + 0 + 106*p. Determine x(r(k)).\nAnswer: -28*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand 6*a**2 - 2*a**2 - 2*a**2 + (2*a - 4*a + a)*(a + 5 - 5) - 39 + 7*a**2 + 39.\nAnswer: 8*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3\/27 - 90445\/(-45)?\nAnswer: 2, 3, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (6 - 14 + 16)*(k**2 - 2*k**2 + 4*k**2) + 3*k**2 - 3*k**2 - 2*k**2 to the form n*k**2 + x + f*k and give n.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3 + 1*sqrt(1573)*6*4 + ((sqrt(1573) - (sqrt(1573) + 0 + 2)) + -2)**2)*-3.\nAnswer: -792*sqrt(13) - 57","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -58*v = -61*v. Suppose -3*x + 23 - 17 = v. What is the third derivative of 48*k**2 - 156*k**2 + 83*k**2 + 12*k**5 - x*k**5 wrt k?\nAnswer: 600*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.01245 and -90947.\nAnswer: -1132.29015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 690 minutes before 1:02 AM?\nAnswer: 1:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 3520 a factor of 133149022?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 365213?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let o(n) = 6924*n - 103. Let g be o(5). Let b = g + -23788. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 21 = -g + 4. Let i = g + 19. Suppose 0 = -s - 3*r + 6, r + i*r + 54 = 4*s. Calculate the highest common factor of 18 and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) 0.4 (b) -4.7 (c) 1 (d) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 411299 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 q and 1 h when three letters picked without replacement from {q: 3, h: 2, i: 4}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let i(j) = -2*j + 32. Let p be i(18). Let l be 4\/38 + p\/38. Solve k + 12 = -l*t - 2*t, 2*t - 4*k - 8 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-1 - 2\/10)\/(12\/(-90)). Let z be 57\/i*1 + (-3)\/9. Let y(m) = -4*m**3 + 1. Let q be y(-1). Solve 3*l - z = q*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify n\/n**(-47)*n**18*n**(-26)\/n*n**(4\/15) assuming n is positive.\nAnswer: n**(589\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let y = 74932 + -530017\/7. Let z = 297665\/378 + y. Calculate the common denominator of -87\/8 and z.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 32055929 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -165932 + 37?\nAnswer: -165895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 16621786 > 16621788?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -16*s + 5*x = -19*s - 8, s + 3 = -2*x for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1 + (1 - 7) + 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 1\/2, 10, 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let b = 4 + 0. Let q = b + 0. Suppose 95 = k + q*k - 5*n, 53 = 3*k + n. Calculate the greatest common factor of 6 and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 270 = -7*s + 12*s. Let l be 2\/9 - 3\/s. Solve l*a**5 + 0*a + 0 - 1\/6*a**3 - 1\/6*a**2 + 1\/6*a**4 = 0 for a.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(k) = 2*k. Let z(w) be the second derivative of 2\/3*w**4 + 0 + 0*w**2 - 3*w + 0*w**3. Determine z(s(q)).\nAnswer: 32*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -389 = 35*b - 39 for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let p(y) = 21*y**3 + 31*y**2 - 6*y. Let a(v) = 62*v**3 + 93*v**2 - 17*v. Let h(k) = 6*a(k) - 17*p(k). Find the third derivative of h(d) wrt d.\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 368 + -91. What are the prime factors of v?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 145 a factor of 9459588?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let m(h) = 12*h - 31. What is m(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let a be 543\/2 + 1\/2. Suppose -o + 107 = -a. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1436377 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let p(z) = 47*z - 2391. Let d(m) = -m**3 + 3*m + 3. Calculate the remainder when p(52) is divided by d(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4*((sqrt(38)\/sqrt(2)*4)**2 + sqrt(19)) + ((-2*sqrt(19) + 1)*-1)**2.\nAnswer: 1293","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let q(n) = -11*n**3 + 10*n**2 + 14*n + 5. Let w(d) = 7*d**3 - 10*d**2 - 15*d - 6. Let y(f) = 4*q(f) + 6*w(f). Find g such that y(g) = 0.\nAnswer: -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 442?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let r = 246 - 108. Suppose 3*j - 8 = -z + 6, 0 = -z + j + 2. Suppose z*q - 117 = r. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:23 PM and 11:40 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-15)\/(-2) - (-9)\/18. Let w = 59 - n. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 539407671 to the nearest integer?\nAnswer: 23225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 41\/625670 and -23\/133017442.\nAnswer: 665087210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -17*u + 180*u + 62*u to h*u + o and give h.\nAnswer: 225","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Sum -1446218 and -5.\nAnswer: -1446223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -3873*k**5 - 5*k - 2.\nAnswer: -77460*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -u + 2 + 3 = 0, 24 = l + 4*u. Solve 5*k + 4*v = 10, 0*v = -2*k - 5*v + l for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find b such that -4*b**3 - 15428*b**2 - 199832*b + 215264 = 0.\nAnswer: -3844, -14, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 0.1 (b) 0.5 (c) 0.25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is ((-357)\/(-84))\/(8\/(-32))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -60 - -71. Suppose 10*n - 5*n - 21 = -4*m, -3*n - 4*m = -a. Let c(h) = 3*h**2 - 2*h + 5. Let v be c(n). Which is bigger: v or 71?\nAnswer: 71","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -232344 (base 7) to base 5.\nAnswer: -2313212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 14 + 4272\/(-312) - (-1246506)\/39?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 10939472 and 300768.\nAnswer: 3856","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1778093 is divided by 592694?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (2*s + s - 2*s)*(7 - 1 + 0) to r*s + c and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 21442 and 142.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*x + 5 + 15. Suppose -x*z = -14*z + 12. What is the highest common divisor of z and 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -469, -466, -463?\n\"Answer: 3*p - 472","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let t(n) = n. Let z be 23\/3 - (-18)\/(-27). Let b be t(z). Solve 2 - b = -x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (3167 - 3191) + 2 + 48.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l(h) = -2*h**2 - 19*h - 20. Let z be l(-8). Let b = -4 + 3.7. Sort 2, z, b in descending order.\nAnswer: z, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 10 (base 9) to base 7.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q\/(q**(1\/3)\/q)*q)**(-45)*(q**(-7)*q)\/(q*q**(2\/7)*q) assuming q is positive.\nAnswer: q**(-898\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*m - 3 = 9. Suppose -m*w + 354 + 10 = 0. Let p(v) = -v**2 + 63. Let t be p(7). Calculate the greatest common divisor of w and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 6707096?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Express x**2 - 18*x**2 + 3*x**2 - 15*x**2 as l + k*x**2 + b*x and give k.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1259, -2480, -3643, -4724, -5699, -6544, -7235?\nAnswer: -7748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 f and 1 y when four letters picked without replacement from pzffyfyffzffffpypfyp?\nAnswer: 32\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let o = -914 - -1591. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 121 - 61 - 4*i**3 - 60.\nAnswer: -4*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 147\/882*(-19)\/((-19)\/(-222))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 44, 98, 154, 212?\nAnswer: 272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 31297 and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -69692*t + 69692*t - 382*t**2.\nAnswer: -382*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12*l = 9*l - 15. Sort l, -2, -8, 1 in increasing order.\nAnswer: -8, l, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence po when two letters picked without replacement from oopp?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1*((-5*-6*((sqrt(2448) + -1)*-2 + sqrt(2448)))**2 + 5).\nAnswer: -43200*sqrt(17) + 2206805","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let u = 17 + -20. Sort 3, u, 4.\nAnswer: u, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o**(2\/53)*o**(1\/3))**(5\/4) assuming o is positive.\nAnswer: o**(295\/636)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let y = 60 - 56. Let n(x) = 4*x**2 - 10*x + 4. What is the units digit of n(y)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 690 and 2152110?\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -5*q - 366*j + 370*j - 56, 0 = -4*q + 2*j - 34 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 1140 and 1140.\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 244*i + 252*i - 2257 - 498*i.\nAnswer: -2*i - 2257","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-14)\/8 + -2 + 9\/12?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 37 - 1 - (-7 - (-4 + 6) - (-3 + -10))?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -7*l + 4*x = -2*l + 15, 0 = -4*l + 3*x - 11 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w**(6\/5)*w**25)**(-47) assuming w is positive.\nAnswer: w**(-6157\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 42194, 42160, 42118, 42068, 42010, 41944, 41870?\nAnswer: 41788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*l = 2*d, -d - l + 2 = -2. Suppose 0 = 11*b - d*b - 225. Let i = b - 22. Solve o + i*j - 10 = 2*o, -5*o - 24 = -2*j for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Put together -277462016029 and 1.52.\nAnswer: -277462016027.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 938867780 to the nearest integer?\nAnswer: 979","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -87 - -84 - (-1 + -3 + 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Work out 37 + -29.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -388*y**5 + 5*y - 353 wrt y?\nAnswer: -7760*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -46 + 13 - 19 - 24 + 19 - 62*z.\nAnswer: -62*z - 57","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -400581171480*u + 18*u**3 + 400581171480*u.\nAnswer: 18*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 4575*z - 2*z**2 - 250*z**6 + 4*z**2 - 4546*z wrt z?\nAnswer: -30000*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be 115\/2 - (-1 - (-3)\/6). Let s = v - 54. Let w(l) = 5 + 0*l + s - 5*l + 6*l. Give w(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 122, 123, 124, 125, 126?\n\"Answer: s + 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -5, 26926, 1.65, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -522\/1915 or 1?\nAnswer: -522\/1915","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-18064*n - 4524*n - 4906*n + (1 - 1 + 2)*(n - 3*n + 3*n) - 2 + 2 + 2*n - 2 + 2 + 2*n)*(-1 + 2 + 0)*(-n - n + n) to j*n**2 + u*n + x and give j.\nAnswer: 27488","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {l: 3, o: 2, h: 4, j: 2}. What is prob of picking 1 h and 2 o?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(128) + 0)*6 - sqrt(128)) + -5 - (sqrt(2) + -1 + -2 - (-3 + sqrt(2))*4))**2.\nAnswer: -1204*sqrt(2) + 3894","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} {"text":"Question: -181300*0.4\nAnswer: -72520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 19*q**5\/2 + 8781*q**4 + 2030490*q**3 + 640332*q**2 = 0. What is q?\nAnswer: -462, -6\/19, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1355269?\nAnswer: 1355269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let b(o) = 37*o + 74. Let a(x) = 37*x + 66. Give 9*a(k) - 8*b(k).\nAnswer: 37*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let z(r) = -16*r**2 - 50*r + 8. What is z(-2)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 72 and 972.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 104933 is divided by 3279.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let q = 9 - 14. Put 14, 0, -4, q in increasing order.\nAnswer: q, -4, 0, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3 less than 235?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 12358*o**2 + 4721*o + 118275500 wrt o.\nAnswer: 24716*o + 4721","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 173476567 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let 3*c**5\/5 + 68*c**4\/5 + 55*c**3 + 86*c**2 + 292*c\/5 + 72\/5 = 0. Calculate c.\nAnswer: -18, -2, -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 42613 - 1?\nAnswer: 42612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 62 and 930?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let s = -198 + 110. Let o = 132 + s. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 111299 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*c + 10 = 5*m + 4 - 28, 3*c + 6 = -4*m + 17 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: -1 divided by 42658\nAnswer: -1\/42658","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is -12125 at most as big as -12124?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let f = 0.2 + -0.7. Suppose 5*h + 270 - 260 = 5*d, 0 = h + 2*d + 2. Which is the closest to f? (a) h (b) 0 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*y + 7*y = 70. Let p be (-9)\/54 + (-49)\/(-6). Suppose 3*w - 5*l = 148, w - 23 = -2*l + p. Calculate the remainder when w is divided by y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(a) = 1554*a + 535. What is the thousands digit of n(11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 331 minutes after 11:50 AM?\nAnswer: 5:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let l(a) = -349*a**4 + 12*a**3 + 108*a + 12. Let h(k) = k**4 + 2*k**3 + 2. Let g(v) = 6*h(v) - l(v). Find the second derivative of g(f) wrt f.\nAnswer: 4260*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be 3\/(-2) + 3\/2. Let w(k) be the third derivative of -1\/6*k**4 + 1\/30*k**5 + k**2 + 0*k + 1\/3*k**3 + s. Solve w(y) = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(q) = 25*q - 1444. What is g(58)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -60a899 + 4?\nAnswer: -60a895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from mftmfmfmfffffffffffm. What is prob of picking 1 f and 1 t?\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let o(y) = y**2 + 4. Let q be o(0). Suppose -h = d + 13, h + 34 = -2*h - q*d. Let s be h\/(-12)*(-1)\/9. Which is the biggest value? (a) 0.4 (b) -3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 240 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -285*s**3 - 31*s**2 + 31*s**2 + 158*s**3 + 122*s**3.\nAnswer: -5*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let g = 17879\/9570 - 38\/165. Which is bigger: g or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(o) = -2*o**3 + 5*o**2 - 5. Suppose -i + 7*n = 12*n + 5, 0 = -2*i - 5*n. Let f(a) = -2*a**3 + 6*a**2 - 6. Determine i*f(y) - 6*t(y).\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Round -7386.489436 to the nearest integer.\nAnswer: -7386","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand (-14*n**2 + 5*n**2 - 7*n**2)*(3 - 5 - 5) + n**2 + 3*n**2 - 5*n**2 + 0*n**2 + n**2 - 3*n**2.\nAnswer: 109*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let s = -52 + 54.1. Let m = 0.1 - s. Let r = 0.07 + 1.93. Put m, r, 0.1 in increasing order.\nAnswer: m, 0.1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0007211104 rounded to six dps?\nAnswer: 0.000721","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:20 AM and 11:30 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-97905)\/90)\/61 + 18.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve h + 26 = -0*h - 5*k, 52*k = -2*h + 8 - 186 for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -1011100101 - -10010001?\nAnswer: -1001010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let v = 123 + -123. Let a(i) be the third derivative of 1\/12*i**4 + 0 + 2*i**2 + 1\/15*i**5 + v*i**3 + 0*i. Find the second derivative of a(b) wrt b.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -27842\/17 or -1639?\nAnswer: -27842\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is -0.030233 - -0.1738?\nAnswer: 0.143567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let p = 1099581631\/213215338 + -25\/232514. Let k = -6038561\/262 - -23048. Let v = p + k. Find the common denominator of v and 133\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 397, 552, 705, 856, 1005, 1152, 1297?\nAnswer: 1440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let d(t) = t**3 - t**2 - 1. Let r(b) = 2*b**3 - 8*b**2 - 6. Suppose -23*q = -71 + 43 - 64. Suppose -4*j + 3 = 7. Give j*r(z) + q*d(z).\nAnswer: 2*z**3 + 4*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 542020116 to the nearest integer?\nAnswer: 815","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let d(y) = -22*y**3 + 2*y + 7. Let f(j) = -45*j**3 + 3*j + 15. Let n(g) = 5*d(g) - 2*f(g). What is the remainder when n(-2) is divided by 53?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in 1\/9 of a day?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (-7 - 5 + 6)*(-2533*s - 2537*s + 5142*s - 1).\nAnswer: -432*s + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let b(g) = 8*g + 1. Let v(w) = 1. Suppose 3*h - d = -2, -6 = 2*h + d + 2. Calculate h*v(j) + b(j).\nAnswer: 8*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 f and 2 z when three letters picked without replacement from {v: 1, f: 5, z: 7}?\nAnswer: 105\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 93334103 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Does 8 divide 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let s = 173 + -173.387. Let t = s - 0.203. What is t rounded to 1 decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 56, -2, -178, -472?\n\"Answer: -59*p**2 + 119*p - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-20)\/6*(3402\/105)\/(-9).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u(c) = -c**2 + 1. Let i(h) = -12*h**2 + 3. Suppose 62*z - 2 = 121*z - 61*z. Give z*i(p) - 3*u(p).\nAnswer: -9*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 73\/2838 and 23\/1806?\nAnswer: 19866","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 39 = -5*y - 2*n, 2*y + n + 6099 - 6084 = 0 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Convert 2.758401m to centimeters.\nAnswer: 275.8401","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -67 + 36 - 5*a + 31 + 7*a.\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -433110 - 15?\nAnswer: -433125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 128590981*m**2 - 74439110?\nAnswer: 257181962*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Expand (-54*o - 22*o - 20*o)*((-4*o**2 - o**2 + 6*o**2)*(-5 + 11*o - 4*o + 9) + 0 + 0 - 2*o**3).\nAnswer: -480*o**4 - 384*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3 + (4*sqrt(91)*-2)\/(4*sqrt(343)).\nAnswer: -2*sqrt(13)\/7 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -20775203 divided by 201701?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2\/3 in -3\/8, -4, -4\/3, 0.032, 6?\nAnswer: 0.032","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let o = -300 - -302. Solve 0 = o*n - 2 - 6 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 7302?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let p = -6193 + 7417. What is the greatest common divisor of 1071 and p?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -18*b**3 - 2*b**3 - b**3.\nAnswer: -21*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-25 + 1)*22\/44. Let f be 1\/(0 + (-6)\/w). Let t(n) = 5*n + 5. Let x(k) = -k - 1. What is f*t(v) + 9*x(v)?\nAnswer: v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let l = -36 - -37. Let z = 0.4 + -0.3. Which is the nearest to z? (a) 3 (b) -2\/7 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 33*t + 233028*t**3 - 33*t.\nAnswer: 233028*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 7091992*v + 5433241 wrt v?\nAnswer: 7091992","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 16 or 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of ((-595)\/(-3))\/(((-11)\/(-451))\/(1*3))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -66\/78523 + -1990949477\/1413414. Let b = k - -1408. Find the common denominator of b and -47\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(m) be the first derivative of -2889*m**4\/2 + 461*m - 2181. Find the first derivative of c(l) wrt l.\nAnswer: -17334*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12 = -a + 5*t, -18*t + 7*t = -5*a - 18. Suppose 5 = 4*u - 3*h, 4*h + 3 + 2 = 5*u. Solve 0 = -a*n + 8*n - u for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(187) + 1*(sqrt(187) - sqrt(187)*-2) + -3*sqrt(187)*-3)\/((sqrt(66) + sqrt(66) + sqrt(66) + -6*sqrt(66)*2 - sqrt(66))\/(sqrt(6)*-1*3)).\nAnswer: 39*sqrt(17)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let t(u) = u - 5. Let i(q) = q**2 - q. Let h(y) = -i(y) - t(y). Let b(c) = -c**3 - c**2 + c - 3. Let o be b(0). Let k = 3 + o. Calculate h(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j**(-4)*j**(-6\/7))\/(j**(-6))**(5\/6) assuming j is positive.\nAnswer: j**(1\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((26\/26)\/2)\/9?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*a - 5*x + 87508 = 0, -4*a + 87508 = -5*x + 4*x. Let r be a\/7 - (-2)\/(-7). Let j be (r\/3 - 0)*-2016. Round j to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(m) be the third derivative of m**7\/560 - 17*m**6\/320 + 9*m**5\/16 - 27*m**4\/16 - 27*m**3\/2 - 223*m**2. Let z(a) = 0. Calculate a.\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -1382 (base 15) to base 11.\nAnswer: -3153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 2016 - -160?\nAnswer: 2206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:14 PM and 12:09 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -p - 2*p = -15. Suppose 2*u + 87 = 71. Let s(b) = b**3 + 10*b**2 + 11*b. Let f be s(u). What is the greatest common factor of p and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*n - 17*n + 6*n - 12*n)*(3*n**2 - 3*n**2 - 5*n**2).\nAnswer: 105*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Round -756.03 to the nearest integer.\nAnswer: -756","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let t = 22 - 4. What is the remainder when t is divided by 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 16595728?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence hake when four letters picked without replacement from haepk?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let v = 398 - 328. What is the highest common factor of v and 98?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 4368162?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1 or 44\/2819?\nAnswer: 44\/2819","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1579945, 3159950, 4739955, 6319960, 7899965?\nAnswer: 9479970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let x = 717 + -716.8. Let f = 2.2 + -2. Let u = -0.3 - f. Which is the third biggest value? (a) -1\/11 (b) x (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 817366477 to the power of 1\/3, to the nearest integer?\nAnswer: 935","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify -6*((-3*(sqrt(300) - 5*sqrt(300)))**2 + sqrt(300) + (sqrt(300) - (sqrt(300)*-5 + 4 + sqrt(300)))**2) + 2.\nAnswer: -304294 + 2340*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Put -34\/5, -5, 15, -4 in increasing order.\nAnswer: -34\/5, -5, -4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let g(t) = -2*t**3 + 30*t**2 - 87*t - 133. Let i be g(10). Let f(h) = 2 - 2 + 7*h. What is f(i)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(g) = g**2 - 5*g - 12. Let i be n(9). Suppose 0*b - 4*b = 4*f - i, -10 = 5*f. What is the highest common divisor of 12 and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2 + -3 + -5 + -6 + 9.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -m = u - 2*u - 319, 327 = m + u. Let z = 344 + m. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 8 divide 369073?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 191*a - 345*a - 756 = -182*a for a.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -737*z + 359*z + 47*z - 34980 = 729*z for z.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14*t = -4*t - 80. Suppose 3*o + 3*j - 7*j = 16, -4 = j. Solve -2 = d - 7*y + 2*y, o = 2*d + 2*y - t for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 113 + -6. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(u) be the first derivative of u**4\/12 + 15*u**2\/2 + 8. Let a(d) be the second derivative of c(d). Let w(y) = -5*y**2. Give w(a(z)).\nAnswer: -20*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + 0 + 4)*(1 - 1 + 2*h)*(-5 + 5 - 2) - 14859 + 14859 - 1135*h.\nAnswer: -1143*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0000209669867 to 7 dps.\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Work out 1 + 0.34545.\nAnswer: 1.34545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -49*y + 84085 = -44*y. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -2927 to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let g(n) = 23*n + 4. Let r(w) = 46*w + 9. Let f(x) = 9*g(x) - 4*r(x). Let d(u) = -2*u**2. Calculate d(f(s)).\nAnswer: -1058*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 s and 3 k when four letters picked without replacement from kkskkkkoosss?\nAnswer: 16\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let s(k) = -k + 5. Determine s(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let v = -687 - -750.8. Let o = 63.799559 - v. What is o rounded to four dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1065427007 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 - 17 = -4*n + i, 3*n + 3 = -3*i. Suppose 3*f - 18 = -3*a, 2*f + f = 0. Solve n*b + 6 = -a for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*l + 0*l - 20 = 0, 2*l + 64 = -2*h. Let t be (-11)\/(-99) + 3\/h. Solve -2*g + y + 11 + 1 = t, -2*y + 12 = 5*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine p so that -1\/3*p**2 + p - 2\/3 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 0*d**2 - 2*d**2 + d**2 + (-2 - 16*d - 18 + 18*d)*(-353 - 23*d + 353) to m + s*d + y*d**2 and give y.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand -3*x**2 + 2*x**4 + 3*x**2 + (-x**2 - 1 + 1)*(-4*x**2 + 4*x**2 - 9*x**2) - 9*x**4 - 18*x**4 + 5*x**4.\nAnswer: -11*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 310 minutes before 1:48 AM?\nAnswer: 8:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: 0.203 * 3842\nAnswer: 779.926","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 95 - 21b66?\nAnswer: -21aa1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Put 1, -7, -724, -3 in descending order.\nAnswer: 1, -3, -7, -724","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 704 is divided by 179?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -560, -569, -578, -587, -596, -605?\nAnswer: -614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.85 and 22407?\nAnswer: 19045.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + sqrt(57)\/sqrt(3) + sqrt(190)\/(sqrt(30)\/sqrt(3)).\nAnswer: -3 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let g(a) = -6*a**3 + 2*a**2 - 3*a + 2. Let r be g(1). Let z = 51 + r. Is z a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 39 - 781*o**2 - 39 + 785*o**2 + 24*o - 4*o**3 = 0. What is o?\nAnswer: -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 32888 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -364, -362, -350, -322, -272, -194, -82?\n\"Answer: m**3 - m**2 - 2*m - 362","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let x(g) = -2*g**3 + 3*g**2 + 5*g + 1. Let j = 8 - 3. Let w be x(j). Does 16 divide w\/(-4) - 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-8)\/(-12) + (-8)\/3. Let u = k - -6. Let z be 2 - (-1)\/((-3)\/2). Which is the third biggest value? (a) u (b) -3\/7 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 4 + (-288)\/40 + 3\/1.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 156711522 and 331314?\nAnswer: 156711522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -3094*i**3*l - 224*i**3*u**2 + 14*i**3*u + 2*i**3 + 4*i - 561*l*u**2 - 5*u wrt l?\nAnswer: -3094*i**3 - 561*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 29\/(-116) - ((-405)\/36 - -3).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Express 319 + 319 - 10*a**2 + 9*a**2 - 423*a + 322 - 959 in the form p + t*a**2 + h*a and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Express (-3 - m + 3)*(2*m - 9 + 9 + m + 2*m - m + (-2 - 1 + 1)*(3*m + 0*m - 5*m) + 1 - 1 - 3*m) as b*m + a + r*m**2 and give r.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Express (5*g + 0*g - 2*g)*(-3*g + 0 + 2 - 7*g) in the form p*g + j*g**2 + s and give j.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Find t, given that -5*t**2 + 73315*t - 366450 = 0.\nAnswer: 5, 14658","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -30643, -30640, -30639, -30640, -30643?\n\"Answer: -b**2 + 6*b - 30648","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Find u such that u**4\/7 - 17*u**3\/7 + 40*u**2\/7 + 300*u\/7 = 0.\nAnswer: -3, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let b = -64 - -66.9. Let y = 1.1 + b. Let w = -15 + 15.2. What is the nearest to -1 in w, 1, y?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 810102 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let u = -70 - -159. Let j = -94 + u. Which is the closest to 0? (a) j (b) 43 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -0.0627 (b) -0.4 (c) 0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve i = 12*i + 165 - 264 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 685 minutes after 9:29 PM?\nAnswer: 8:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ldldldzdllzz. What is prob of sequence dldz?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-22)\/96)\/((8470\/1155)\/(20\/(-15))).\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(208) + 5*sqrt(208)*3 + 3 + sqrt(208) + sqrt(208)*-3)**2 + ((1*(sqrt(208) + -1 - sqrt(208)) + -5 + -2*sqrt(208))*-3)**2 + 3.\nAnswer: 1200*sqrt(13) + 48592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Round 0.001763 to 4 dps.\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {t: 6, o: 1, c: 6, k: 2, y: 1, a: 2}. What is prob of sequence tay?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -40*c + 6*c + c + 1782. What is the highest common divisor of 1701 and c?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 944 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0001896 rounded to four decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let j(r) = -r**3 + r**2 - 4*r + 32. Let v be j(3). Solve -v*p - 63 = -59 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(q) be the first derivative of 3*q**2 + 0 - 1 - 4*q**2. Let h(r) be the first derivative of r**2\/2 - 8. Determine h(k(z)).\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 314713 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 20025 is divided by 1217.\nAnswer: 553","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let c(l) be the third derivative of 0 + l**3 - 1\/3*l**4 - 4*l**2 - 1\/60*l**5 + 0*l. What is the smallest common multiple of c(-8) and 7?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-2)\/2)\/((-2)\/(-6))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -126334 - 218137 = -32*r + 9*r. What is the thousands digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: 6 + (-150)\/42 - (-480)\/840\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -101\/6142338 and -41\/46837.\nAnswer: 42996366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let a be (54 + -5)*(-15)\/(-35). Solve -143*s + a = -136*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -4.99917 + 5.2308. Round k to two dps.\nAnswer: 0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1200?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ii when two letters picked without replacement from xxixiiiiiiiiiiixii?\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 127\/66 and -12\/1375.\nAnswer: 8250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: 760.2816032 - -11\nAnswer: 771.2816032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00000043165415 rounded to seven decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of (4\/(-70))\/((-8)\/325) and (-2)\/(-3) - 173\/(-6).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:00 PM and 6:16 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: -2940 divided by -588\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Convert 7291.899 millilitres to litres.\nAnswer: 7.291899","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort -4\/15, -4, -1\/3, 1.62, 2\/9.\nAnswer: -4, -1\/3, -4\/15, 2\/9, 1.62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-681 - -689)\/(4\/(-7)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let p(z) = z**2 - 2*z - 7. Let c be p(0). Let d(f) = 12371*f + 17. Let u be d(c). Let t = u + 135080. What is t rounded to the nearest 1000?\nAnswer: 49000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(k) = -k**3 + 15*k**2 - 13*k - 5. Calculate the smallest common multiple of a(14) and 32.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 11627383 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many nanoseconds are there in 4.046606 minutes?\nAnswer: 242796360000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -1, -5, 51?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let b(t) = 6*t**2 + t**3 + 446*t - 227*t - 5 - 228*t. Give b(-7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1584 is divided by 885.\nAnswer: 699","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 391 a factor of 929605?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is j in -j**4\/7 - 323*j**3\/7 - 25920*j**2\/7 + 26244*j\/7 = 0?\nAnswer: -162, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-10)\/(-4) + (-1)\/(-2). Suppose -33 = -5*l - q. Factor -4*a + 3*a**4 + 2*a**3 + l*a**2 - 2*a**4 + 1 - 6*a**3.\nAnswer: (a - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.2 times -12803\nAnswer: -2560.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 562?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Work out 152 - -9115366704.\nAnswer: 9115366856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -o = -0*j + 4*j + 8, 0 = 2*j - 5*o + 4. Let v(a) = 2*a**3 + a**2 - 2*a - 1. Determine v(j).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(t) be the first derivative of 1\/40*t**6 + 0*t - 6 + 0*t**4 - t**2 + 0*t**3 - 1\/10*t**5. Let k(w) be the second derivative of u(w). Factor k(y).\nAnswer: 3*y**2*(y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*v = 3*b - 34, 2*b = -3*v - 0*v + 14. Suppose b*k - 1705 = -k. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (1684*u**2 - u**4 - 3403*u**2 + 1446*u**2)*(2*u - 3 + 3).\nAnswer: -2*u**5 - 546*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*q - 35 = 100. Calculate the highest common divisor of 45 and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 35388905 to the nearest integer?\nAnswer: 5949","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1474898, 2949810, 4424722, 5899634?\nAnswer: 7374546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let h be 36\/(-5)*-36*175\/6720. Let -183\/4*w**2 - 30*w**3 - 57\/2*w - h*w**4 - 6 = 0. What is w?\nAnswer: -2, -1, -4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 119 and 442?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let c = 13 - 12.83. Let y = -0.25 + c. What is the biggest value in -0.5, 0, y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.009 * 118\nAnswer: -1.062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is (((-551)\/228)\/(-29))\/1?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m(x) = -x**3 + 6*x + 11. Let h be m(-3). Solve 93*g - 98*g = -h for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(8)\/(sqrt(4) - sqrt(36)*3))**2.\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 8658.\nAnswer: 2, 3, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3164024395.\nAnswer: 5, 7, 90400697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -137.3243 + -5?\nAnswer: -142.3243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Convert 3050265 (base 7) to base 11.\nAnswer: 22a337","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: -10201222012100 (base 3) to base 5\nAnswer: -1002044043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -661523, -2646119, -5953781, -10584509, -16538303?\nAnswer: -23815163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 9, 27, 53, 81, 105, 119, 117, 93?\n\"Answer: -k**3 + 10*k**2 - 5*k + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -21 + 133021002000?\nAnswer: 133021001313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose z - 5*q = 6, 3*z - 11 = 5*q + 17. Let n(o) = o**3 - 4*o**2 + 3. Calculate the lowest common multiple of n(4) and z.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -47238 + 107451. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -1 or 1\/1827?\nAnswer: 1\/1827","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let x(l) = l**3 + 5*l**2 + 7. Suppose 2*s = 3*b - 10, b + 2*b = 0. Let t be x(s). Let g = -3 + t. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 3*q**5 - 2260958*q**4 + 425995010119*q**3 - 283985871084*q**2 - 1845965816372*q - 1135982674208 = 0. What is q?\nAnswer: -1, 8\/3, 376826","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 0 + -bd371?\nAnswer: -bd371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {u: 5, s: 4, v: 3}. What is prob of picking 4 u?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let w = -590 - -1209\/2. Find the common denominator of w and 238\/12 - 0\/(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 10200022202122120 + -10?\nAnswer: 10200022202122110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 19854812*v**2 - 9157060*v wrt v.\nAnswer: 39709624","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve w + 5*w = 2*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*l - 13 = -m, -3 = m + 4*l - 0. Let x be -3 + (1 - 2)*-2. What is the remainder when (-8)\/(-1 - x - 1) is divided by m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*m**4\/4 + 58521*m**3\/2 - 21897861*m**2\/4 - 58521*m\/2 + 5474466 = 0 for m.\nAnswer: -1, 1, 188, 38826","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-380)\/(-220) - 6\/(-22). Solve j + k*j + 0*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 140952 and 563808.\nAnswer: 563808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Subtract 14086.8 from 1.7.\nAnswer: -14085.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*t**3 + t**3 - 24*t**3 + (11*t + 6*t - 10*t)*(-3*t**2 + 3*t**2 + t**2).\nAnswer: -16*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.14244*4.\nAnswer: -0.56976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -259, -518, -777, -1036?\nAnswer: -1295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 331214549 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 k and 1 e when two letters picked without replacement from bsyseke?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from rrvvrvovrvvzv. What is prob of picking 1 z, 1 o, 1 v, and 1 r?\nAnswer: 28\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:19 PM and 10:08 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 12 in -1\/2, 7, 0.5, 0.2?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let j(t) = -4662*t - 37294. Let b be j(-8). Determine q so that 18\/5*q - 3\/5*q**b + 48\/5 = 0.\nAnswer: -2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (34\/(-21))\/((-15)\/(-180)*-34)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-2 - 12\/(-5))\/(163\/(-815)). What is the biggest value in -0.5, m, -0.1, -22?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 0, -4, -1695 in ascending order.\nAnswer: -1695, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Divide -7 by 11261.\nAnswer: -7\/11261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let t(x) = 3*x - 10. Let h be t(5). Let c(q) = -q. Let p be c(-4). Let d = h - p. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (40\/(-30))\/(12 - 12062\/999).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4*-0.9.\nAnswer: 3.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Find f such that 816*f**4 + 188*f**3 - 820*f**2 - 188*f + 4 = 0.\nAnswer: -1, -1\/4, 1\/51, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from sqqtsqsqststmqsqqt. Give prob of picking 2 t.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 406a5 - 7?\nAnswer: 4069d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 314437 and 16376?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*s + 6 = -2*o + 7*o, -4*o - 20 = 3*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 4695 and 16578?\nAnswer: 25944570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Round 30501.63609 to the nearest 1000.\nAnswer: 31000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a*a**(-7)*a*a\/a**7)\/(a**(1\/3)\/(a**(-2)\/a)) assuming a is positive.\nAnswer: a**(-43\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: (0 + -7)*(146\/3577)\/((-159)\/21)\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 19\/44 - 2\/11. Let y(z) be the second derivative of 2*z + 0*z**2 + 0 + p*z**4 + 0*z**3. Let f(q) = -q**2. Calculate f(y(k)).\nAnswer: -9*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Put -2.2, 4, 431, -1, 3\/7, -2\/5, 5 in increasing order.\nAnswer: -2.2, -1, -2\/5, 3\/7, 4, 5, 431","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 0, -11, -32, -63, -104, -155?\n\"Answer: -5*t**2 + 4*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*j + 5*w = -5, -414*j - 1 = -417*j - 4*w for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 28027 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: How many minutes are there between 1:10 AM and 2:03 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -17, -23, -41, -77, -137, -227?\nAnswer: -353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -16*w + 2519 = 887. What is the highest common divisor of w and 527?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(x) be the second derivative of 3 + 0*x**3 - 19\/10*x**5 + 1\/6*x**4 - 49\/2*x**2 - 15*x. Differentiate d(b) wrt b.\nAnswer: -114*b**2 + 4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: -687628 divided by -1669\nAnswer: 412","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*t - h + 168 = -5*h, 0 = 2*t + 4*h + 108. Let b = 10 - t. What is the remainder when b is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -202222012110 - -1201001?\nAnswer: -202220111102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 30060507?\nAnswer: 3, 10020169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Round 89.23544975 to the nearest integer.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let m(c) = 2*c**2. Let v(r) = -11598*r + 4042*r - 7516*r. Give v(m(b)).\nAnswer: -30144*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Factor x**4\/6 - 10*x**3\/3 - 601*x**2\/6 + 1330*x\/3.\nAnswer: x*(x - 35)*(x - 4)*(x + 19)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4 + -18.3.\nAnswer: -14.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:02 AM and 5:00 AM?\nAnswer: 178","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 11940 is divided by 163.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let f = -8.6 - -8. Let q = f + 0. Let v = -0.599925 - q. What is v rounded to five decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.087230388 plus -80?\nAnswer: -79.912769612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*b**3 + 24 - 239204*b + 239204*b - 24.\nAnswer: -3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.2 in 0.3, -217, 1\/9, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: -10 (base 9) to base 5\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 467 is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (-186)\/(-4)*(-800)\/(-30)?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5 + 20901.5167?\nAnswer: 20906.5167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Put -5, 10, 6, -3, 163, -6 in decreasing order.\nAnswer: 163, 10, 6, -3, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 60 and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 3016\/25 < 121?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let u(r) = 99*r + 632. Is 6 a factor of u(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y*y**(-4)*y)**(3\/16)\/(y**(-1\/6)*y**17) assuming y is positive.\nAnswer: y**(-413\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let k(p) = 3*p**2 - 4*p + 7. Let t(b) = -6 + b**2 - 6*b**2 + 2*b**2 + 0*b**2 + 4*b. Let y(l) = 6*k(l) + 7*t(l). What is the second derivative of y(g) wrt g?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*u = 7*u. Suppose 4*d = 5*o - 3, 4*o = -5*d - u*o + 27. Sort d, 2\/11, -0.5.\nAnswer: -0.5, 2\/11, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*j**2 + 3524*j + 287040.\nAnswer: -2*(j - 1840)*(j + 78)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Product of 33 and -0.368.\nAnswer: -12.144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:21 AM and 2:58 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 22 is divided by 15.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let x = -24 - -15. Let k = 15 + x. Let o = -4 + k. Which is the second smallest value? (a) 1\/5 (b) o (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 15, 1\/5, -4, -729383, 8?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*t + t - 375. Suppose z = 2*x + 3*z - 30, 4*x - 48 = 2*z. Differentiate -t*s**2 + x - 4 + s**4 + 75*s**2 with respect to s.\nAnswer: 4*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*l + 4*l + 0*l + (3*l - l + 2*l)*(2 - 4 + 0)*(0 - 1 + 2).\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -108 - 4*n**4 + 5*n**4 + 112 + 22*n**4 wrt n?\nAnswer: 92*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -61514 - -61601. What is the least common multiple of a and (-3)\/(-9) + 52\/6?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 31*h**2 - 16*h + 13574 wrt h.\nAnswer: 62*h - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 81307 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let m = -2 + 1.8. Let y(u) = -38*u - 221. Let a be y(-6). Sort m, -4, a.\nAnswer: -4, m, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.024192 to 3 dps.\nAnswer: 0.024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let w = -269 + 267.89. Let l = 0.03 - w. What is l rounded to 1 decimal place?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -38*k + 466 + 196 = -250. What is the highest common factor of 9228 and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -1 and 4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -4 - 944ba3?\nAnswer: -944ba7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-24)\/66*(-12)\/48.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let q be ((-27)\/12)\/3*(78 + -72). Which is the second smallest value? (a) 3 (b) 3\/2 (c) -1 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 13826639 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let k = -3331 + 3331.007085. Round k to 3 dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(o) = -349*o + 1281. Give j(3).\nAnswer: 234","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let p(u) be the second derivative of -u**8\/26880 + u**7\/2520 - u**6\/576 + u**5\/240 - u**4\/4 - 4*u. Let d(q) be the third derivative of p(q). Factor d(c).\nAnswer: -(c - 2)*(c - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be -5*(-15)\/125 - (-996)\/(-60). Put 0.3, 0.4, 1, u in increasing order.\nAnswer: u, 0.3, 0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-10)\/5*9\/(-2). Suppose 0 = -n + 3*d - z, 4*n + d - 3 + 0 = 0. Suppose -4*t + n*t + 28 = 0. Solve 0 = -i + 5*o + 8 - 4, 2*i = -5*o - t for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 9*a**5 - 4*a**4*c**3 - 14*a**2*c**2 + 3*c**3 wrt a.\nAnswer: 540*a**2 - 96*a*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let p = 690 + 8014. Let w = -647 + p. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(d) be the second derivative of d**3\/2 + 31*d**2\/2 - 44*d. Let s be u(-9). Suppose 0*x + s*x - 480 = 0. Is x a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -16411900 by 5.\nAnswer: -3282380","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 14539 a multiple of 217?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 77071?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Put -5, 15, -78, 1, -1 in ascending order.\nAnswer: -78, -5, -1, 1, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let l(f) = -f**2 + 10*f - 26. Let s be l(7). Let z be (s - -2) + (218 - 0\/(-2)). Suppose -453 = -3*o - 5*n, -z - 91 = -2*o - 2*n. Is o a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(z) = -91*z**2. Let l(b) = -1967*b. Determine l(t(k)).\nAnswer: 178997*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*p = -0*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ccccccccccccucccccc. Give prob of sequence cucc.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let h(y) = -11*y + 17. Let m be h(-5). Calculate the remainder when 2\/(m\/210 - 1\/7) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(t) = -6*t**3 + 5*t**2 + 5*t + 17. Let d(z) = 7*z**3 - 6*z**2 - 6*z - 17. Give -5*d(b) - 6*j(b).\nAnswer: b**3 - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) -4 (b) -0.3 (c) -1 (d) -57512 (e) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*u**3 - 86*u**2\/5 - 104*u\/5 - 24\/5.\nAnswer: -2*(u + 2)**2*(10*u + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 1615 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let g(h) = -2466*h**2 + 2487*h**2 - 3*h**3 - 21*h + 2*h**3 + 31. Let c be g(20). Solve -3*t - c = l - t, -l + 4*t = -7 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*i = 3*a - 30, 0 = i + i - 3*a + 25. Let m be -29899 + (9\/15 - (-8)\/i). What is m rounded to the nearest 1000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 591.3 - 591. Which is the nearest to -2? (a) 7 (b) 1\/2 (c) -3 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1301273 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-2)\/(-20))\/((24\/(-6))\/(180\/12)).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j be 0 - 2 - (0 - 2). Suppose j = 4*s - 3 + 11. Let y = 0 - s. Solve 0 = -y*f + 3*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5*(((sqrt(847) + 1*sqrt(847)*-3)*-1)**2 + -4 + (sqrt(847) + (sqrt(847) + -2)**2)*2).\nAnswer: -25430 + 330*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let z(v) = -53*v + 1. Let k be z(-1). Let l(u) = 61*u**2 + 7*u - 114*u**2 + k*u**2 - 8. Give l(-6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6 + 1 = -s. Let v = -130 + 128. Let a = v - s. What is the greatest common divisor of a and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 4748868818 to the nearest integer?\nAnswer: 68912","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let p = -22324 - -22323.8. Which is the nearest to 0? (a) 1\/8 (b) -21 (c) -5 (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 2 or 9100\/8527?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Convert 26469.64um to centimeters.\nAnswer: 2.646964","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f = 7 + -10. What is the third biggest value in f, -4, -2\/13, 5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10 - 7 = 4*k - 5*o, -4*o + 20 = 0. Solve -k*d + 4*d - 2 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -1\/5 (b) -2856 (c) -7\/4 (d) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -203 + 121130332?\nAnswer: 121130123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let q(s) = 32*s**3 + 3*s**2 + 3. Let b(f) = -95*f**3 - 8*f**2 - 8. Suppose 0 = 403*v - 1290 + 2150 + 2364. Determine v*q(a) - 3*b(a).\nAnswer: 29*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let n = 11 + -8. Let h be 157\/n - (-4)\/6. Suppose h - 361 = -4*q. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ks when two letters picked without replacement from sfckush?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let m = -51495 + 75183. Is 135 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1326526 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let y(w) = w**2 - 30*w - 259. Let d be y(37). Solve 5*u - 4*u - 2 = d for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 578094545.\nAnswer: 5, 7, 1549, 10663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from gqgqjjzhjhqj. Give prob of picking 1 z, 1 g, and 2 q.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand (-124 + 59 + 36)*(0*n + 5*n - 4*n)*(-2*n**3 + 2*n**3 - 2*n**4).\nAnswer: 58*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Round 699.843615 to two decimal places.\nAnswer: 699.84","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let v(z) = z**2 - 5*z - 4. Let l be v(6). What are the prime factors of (50\/l)\/((-9)\/(-9))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*f + 120 = -5*f. Let v(u) = -u**3 - 15*u**2 - 5*u - 5. What is the units digit of v(f)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 79524*b*w**2 - 14*b - w - 2027 wrt w.\nAnswer: 159048*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -446\/1849 or -1?\nAnswer: -446\/1849","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.405*9.\nAnswer: -3.645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 465 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let v(x) = x. Let w(f) = -6*f. Let u(p) = 10*v(p) + 2*w(p). Let y = 10 + -8. Let k(r) = 4*r - r - y*r. Determine k(u(m)).\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand -100*t - 113*t - 20*t - t + 5*t - 3*t + (-3 + t + 3)*(2 - 2 + 2) - t + t + 2*t.\nAnswer: -228*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate (4\/(-9))\/(5\/((-15)\/(-6))).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Work out -2 * 25545.\nAnswer: -51090","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 499?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (642552\/(-43098))\/((-1)\/((-11)\/(-2))).\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x(u) = -u**2 + 18*u - 64. Let f be x(7). What is the highest common factor of 260 and f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -2 (base 15) to base 13.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4 + 4*(1 + sqrt(3))*5)**2*1 + -5 + -4.\nAnswer: 640*sqrt(3) + 1447","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 163939 and 22852173?\nAnswer: 2309","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve d + 33 = 10697*t - 10687*t, -24 = -3*t + 5*d for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: (122\/93635*1\/(-2))\/((-7)\/(-70))\nAnswer: -2\/307","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j(d) = d**3 + 15*d**2 + 31*d - 17. Let a be j(-12). What is the highest common factor of 7783 and a?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} {"text":"Question: Suppose 18*y - 7 = 19*y - 2*d, -2*d - 13 = 3*y. Let c(n) = -n + 3. Let u(i) = -37*i + 16. Let t(x) = y*c(x) + u(x). What is t(-1)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (10\/6)\/(50\/(-90))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 237664821.\nAnswer: 3, 359, 220673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*z + 6 = -0*z. Let l be (-16)\/6*z\/2. Solve 0*a + 4*a + l = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 618258 and 471.\nAnswer: 97066506","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let k(f) = -5*f**2 + 15*f - 6. Let u(l) = 6*l**2 - 14*l + 5. Let w(r) = -5*k(r) - 6*u(r). What is the second derivative of w(g) wrt g?\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -h**5\/6 - 809*h**4\/6 + 10680*h**3 + 83484*h**2 - 10433448*h - 138725784 = 0.\nAnswer: -881, -18, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2069209355.\nAnswer: 5, 59, 7014269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let q(v) = v**2 - 3*v - 7. Let i be q(5). Suppose 2*a - 120 = -4*a. Suppose -5*y + n = -84, 4*y - 51 = -3*n + a. Solve -2 = i*k - y for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -82.08 - -88. Let m = u - 6. Let k = -4.92 + m. Which is the smallest value? (a) 1\/2 (b) 0.1 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -12 - -1201?\nAnswer: 1112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 4 + -170917?\nAnswer: -170913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.1387 * -0.155.\nAnswer: -0.0214985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 h, 1 w, and 1 n when four letters picked without replacement from whnwnnhcannn?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let i = -64.747 + -0.253. Is i greater than -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -2542 - -323?\nAnswer: -2219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 146*n - 38*n = 80892. Calculate the remainder when n is divided by 47.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (h + 2*h - 2*h)*(-5 + 5 - h)*(0*h - 4*h + 2*h).\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: 2550041082303 - 1\nAnswer: 2550041082302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 1 + 11011001?\nAnswer: 11011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Find r such that -2*r**4\/3 - 3146*r**3 - 234700*r**2\/3 = 0.\nAnswer: -4694, -25, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 246 is divided by 31.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -1.4 (b) 3 (c) 3\/7 (d) 1\/28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {i: 2, o: 2, j: 2, c: 1, d: 3, q: 2}. Give prob of picking 1 j and 1 o.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand (-15*n**4 + 15*n**4 + 70*n**4)*(-9 + 9 + 20)*(2*n - 3*n + 0*n).\nAnswer: -1400*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Divide 18798568 by -437176.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} {"text":"Question: Suppose -4*i + 2 - 6 = -4*g, -3*g = -4*i. Suppose -4*s + 3*s - 25 = -y, 95 = g*y + s. Is y a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 1 by -282299.\nAnswer: -1\/282299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let d(r) = -2*r - 1. Let y(b) = b + 1. Let w be 11 + -14 + 8 + 0. Determine w*y(h) + 4*d(h).\nAnswer: -3*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: -21011012 (base 3) to base 2\nAnswer: -1010001100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8758237 = -28*f - 90*f - 320883. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 162 or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2872282?\nAnswer: 2, 7, 53, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let y = 0.5754 - 0.4254. Sort 1\/6, -2, -0.1, y in ascending order.\nAnswer: -2, -0.1, y, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15*h + 992 = -47*h. Is h less than or equal to -19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -4987 + 4989. Solve -5*f + 3*h = -31, -j*h - 27 = -5*f - h for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be ((-14)\/(-10))\/(452\/3390). Let w(u) be the second derivative of 0 + 4*u**3 + q*u**2 + 26*u. Find the first derivative of w(v) wrt v.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.007053 rounded to four dps?\nAnswer: -0.0071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 8228 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 9879 at least as big as 9888?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let m(r) be the third derivative of 689*r**7\/42 + 2333*r**4\/24 - 15*r**2 + 10*r - 1. Find the second derivative of m(n) wrt n.\nAnswer: 41340*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 170 + -248. Let f = 66 + v. What is the nearest to 1\/3 in f, 1, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*k - 5*i + 27, k = 2*i + 4 + 5. Let d = k - -29. What is the remainder when 75 is divided by d?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:03 AM and 4:28 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from xsxxs. Give prob of picking 1 s and 2 x.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 159 and 8119865?\nAnswer: 24359595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 7067?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1880?\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let g(b) = b**2 - 36*b - 5. Let l be g(36). Does 54 divide (-350)\/(-3) - (-7 - l)\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence mp when two letters picked without replacement from {p: 1, s: 9, m: 2, c: 1}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let a(v) = v**2 - v + 9. Let z(r) be the first derivative of r**3\/3 + 9*r - 3. Let u(c) = 6*a(c) - 7*z(c). Let u(s) = 0. What is s?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 43 + -25. Let u(h) = h**3 - 6*h**2 + h - 4. What is the lowest common multiple of (-1)\/6 - (-3)\/(i\/181) and u(6)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -2103454*t*w**3 - 20*t - 60933*w**2 wrt w?\nAnswer: -12620724*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let q(r) be the second derivative of 0 - 49\/6*r**3 - 17*r - 1\/2*r**2. Let l(z) = -z. What is l(q(i))?\nAnswer: 49*i + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let x be ((-3)\/13 + 0)\/(139\/(-834)). Factor 8\/13*i + 0 + 32\/13*i**2 + x*i**4 + 42\/13*i**3.\nAnswer: 2*i*(i + 1)*(3*i + 2)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(d) = 3*d**2 + 42*d + 298. Does 7 divide z(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*t + 10 = 3*g, -g = 3*t + 18 - 4 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let w be ((-25)\/10)\/(1 + 9\/(-6)). Suppose 3*h = -3, -w*t + 2*t + 2*h = 4. Which is smaller: t or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-4)\/(-12)*-2*36\/64.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express 0*p**2 + 2*p**2 + 2*p**2 - 11 - 3*p**2 - 13*p - 3 in the form v*p + r*p**2 + o and give v.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate -7 - ((301 + -285 - (-1 - -6)) + -19).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-10)\/15 - (-38)\/3. Let l(f) = -351*f + 13. Let w be l(0). Solve -w = -5*j + h for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -21809, -85274, -190397, -337178, -525617, -755714, -1027469?\nAnswer: -1340882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let j(s) = s**3 - 6*s**2 + 1. Suppose 6 = 3*p - 2*p. Let l be j(p). Let c be 9*(9 - -2*l). What is the highest common divisor of 9 and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in 83.11604 milliseconds?\nAnswer: 0.08311604","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:51 AM and 2:20 PM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let j(b) = b**3 + b**2. Let p(x) = -x**3 + 7*x**2 - 2*x + 3. Let h(y) = 4*j(y) - p(y). Let o(z) = 2*z + 36. Let a be o(-17). What are the prime factors of h(a)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4*(-4*3*sqrt(275)*-6)**2.\nAnswer: 5702400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find g such that -3*g**4 - 21963*g**3 + 506334*g**2 - 2951952*g + 2467584 = 0.\nAnswer: -7344, 1, 8, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10*k**3\/3 + 244*k**2\/3 - 424*k\/3 - 208\/3 = 0. What is k?\nAnswer: -26, -2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2 + 1 + (-7 - (88\/16 - 6)).\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 62 - 26. Suppose 0 = 5*n - n + l. Let g = n - -4. Let w(i) = -i**3 - 4*i**2 + 4*i + 6. What is w(g)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: 5 (base 10) to base 3\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 107? (a) -5 (b) 1\/4 (c) 18 (d) 5 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify 0 + sqrt(112) + (sqrt(28) + -4 - sqrt(7))**2.\nAnswer: -4*sqrt(7) + 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let k = 0.038 + -4.638. Let r = k - -5.6. Let x be 2\/(1*1\/(-2)). What is the second smallest value in 4, x, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 399 and 2736?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let u = 39 - 40. What is the tens digit of 2401\/28 - u\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 8238611 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*l - 20 = -0*l. Suppose -2 = 3*c - l*c. Solve c*z + z + 12 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 0.68 - -2.02. Let p = m + 12.3. Let b = -1.2 + p. Round b to the nearest integer.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be 53\/(-11) + (-8)\/44 - -7. Let j(a) = 3 - 2*a + 2 - 2. Let m be j(-3). Solve 4*f + 8 = o*f - 3*d, 5*f + 2*d = -m for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 472 minutes before 9:43 PM?\nAnswer: 1:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 5*44\/55 - -4?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 531 is divided by 21?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*z - 2959 + 1564 = 0. Calculate the greatest common divisor of z and 124.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1\/5 in -5, -2, 0.9587?\nAnswer: 0.9587","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 2, -5.32, -2, -4481?\nAnswer: -5.32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 81665798?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 63 minutes before 4:57 AM?\nAnswer: 3:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: -12 - -1 - (5 - (-6 - -12))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*z**2 + 2*z**2 + 6*z**2)*(16 + 3 - 4)*(z - z + 2*z).\nAnswer: 120*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {j: 5, w: 3}. Give prob of sequence jjj.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let o(q) = 5*q**2 + 2*q. Let i = 25 + -27. Let p(w) = 12*w**2 - 24*w - 11. Let t(b) = 4*b**2 - 9*b - 4. Let s(n) = -4*p(n) + 11*t(n). What is i*s(v) - 3*o(v)?\nAnswer: -7*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 31\/392 and 7\/40?\nAnswer: 1960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 0.1846 + 147200279?\nAnswer: 147200279.1846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: -1b7c (base 15) to base 12\nAnswer: -3553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Express (1 - 1 - 3*z)*(-2*z + 5*z - z) + 2*z**2 + 0*z**2 - z**2 - 8 + 8 - 2*z**2 in the form j*z**2 + n + u*z and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) = r**2 - 2*r + 10. Let u be l(-8). Suppose u - 18 = 4*y. What is the greatest common factor of y and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*m**3 - 6*m**3 + m**3)*(1 - 4 + 2 + m**2 + (0*m + 2*m - 4*m)*(-11*m + 2*m + 4*m)).\nAnswer: -33*m**5 + 3*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Factor 244922500*c**2 - 125200*c + 16.\nAnswer: 4*(7825*c - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 1 or -10\/3099?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -134 = 5*b + 86. Suppose -177 = -5*o - 3*i, 5*o + 4*i - 185 = -i. Let x = o - b. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 815216987 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is (24\/(-21))\/(-41*60\/(-25830))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g(h) = -2*h + 8. Give g(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let m be 1\/6 + 4466\/6468. Determine r so that 2*r + 10\/7*r**2 + m + 2\/7*r**3 = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-37 - 38 + 16)*(-1 - 4 + 6)*(-3*q**4 - 3*q + 3*q).\nAnswer: 177*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Put -664942, 3, 4 in increasing order.\nAnswer: -664942, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let w be 187\/5 + (-30)\/(-50). Let d(g) be the first derivative of -w*g - 8*g**3 - 5*g**4 - 6*g**4 + 10*g**4 - 24*g**2 - 12 + 6*g. Factor d(z).\nAnswer: -4*(z + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.05464027714 rounded to 3 dps?\nAnswer: 0.055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let p = 13.7 + -13. Let l = p - 0.5. What is the biggest value in 5, l, 0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -62\/105699 and -187\/30?\nAnswer: 1056990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*5*-1*sqrt(4))\/((sqrt(154)\/(2*sqrt(11)))\/sqrt(7)).\nAnswer: 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 76974930 to the nearest integer?\nAnswer: 425","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 19*u - 129*u**2 + 24*u + 20*u + 110*u**2 + 58*u - 121*u.\nAnswer: -19*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 12367256, 24734544, 37101832, 49469120?\n\"Answer: 12367288*z - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*q - 9 = -3*q, 0 = -4*p - 4*q + 32. Let s = -5 + p. Solve 2*l = -5*a - 21, s*l = 3*l - a - 11 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2 + -2 - -6 - -1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o = -282 + 285. What is the least common multiple of 112 and o?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 106*z + 68*z = 22620. Solve -16*d - z = 10*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 2 - -2003358?\nAnswer: 2003361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 535 minutes after 11:11 AM?\nAnswer: 8:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let j(s) be the third derivative of -s**5\/60 + 17*s**4\/24 - s**3\/3 - 1554*s**2 + 2. Determine j(17).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (92\/1173)\/((-12)\/((-36)\/(-25)) - -9)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is -2967815\/213 less than -13933?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let d(w) = w**2 - 6*w - 52. Let t be d(10). Calculate the lowest common multiple of 18 and (-57)\/(-6) + 0 - (-18)\/t.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 207278 divided by -4?\nAnswer: -103639\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 6416442859?\nAnswer: 11059, 580201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -x - 4*q + 554 = x, -2*q = 4*x - 1126. List the prime factors of x.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 0.474 or 2703?\nAnswer: 2703","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let t(l) = 71*l**2 - 5*l - 3. Suppose -2*h + 7 - 9 = 0. What is the units digit of t(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 39073325 is divided by 67.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find h, given that 2*h**5\/3 - 211972*h**4\/3 + 2967242*h**3\/3 - 918256*h**2 - 17803080*h - 22889952 = 0.\nAnswer: -2, 9, 105972","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5*(sqrt(147) - 5*(sqrt(147) + -2))*1)**2.\nAnswer: -14000*sqrt(3) + 61300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 120 = -0*d + 4*d. Suppose 4*u = 2*g - 76, -5 = u - 10. What is the highest common divisor of g and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} {"text":"Question: Express (g**3 - 3*g**3 - g**3 + (-5*g**2 + 2*g**2 + g**2)*(-g + g + 2*g))*(-7*g - 4*g + 2*g) as v*g**2 + s*g**4 + w*g**3 + y*g + q and give s.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 426576884?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 103*v + 66*v - 134*v.\nAnswer: 35*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 107*r + 112*r + 1197 = 226*r. What is the remainder when r is divided by 48?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1658? (a) 1.6 (b) 4 (c) -0.09 (d) -5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 194*i**3*s**3*w**2 + 2*i**3*w + 9*i*s**3*w**2 - 46*i*s*w**2 - 2*i*s + 2*s**2*w**2 wrt s.\nAnswer: 1164*i**3*w**2 + 54*i*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.1 in -5\/6, 1\/44, -15?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 6131 - 0?\nAnswer: 6131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -78604, -314392, -707342, -1257430, -1964632, -2828924, -3850282?\n\"Answer: 4*t**3 - 78605*t**2 - t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let a(s) be the first derivative of -2*s**3\/9 + 4*s**2 + 1178*s\/3 + 2329. Solve a(g) = 0.\nAnswer: -19, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: 11133 (base 5) to base 3\nAnswer: 1002101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v be (6\/12)\/(3\/180). Let n be (54\/v)\/(1\/5). Suppose 2*b + 910 = n*b. List the prime factors of b.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(n) = -n - 2. Let k be b(-4). Let v = 2 - k. Solve 0*p - 4*p = v for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 186303 by -62101.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let q = 18 - 8. What is the remainder when q is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ada when three letters picked without replacement from wwdawaaawadw?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let j = -416 + 415.7. Sort 0.3, -1\/66, j.\nAnswer: j, -1\/66, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(n) = 984*n + 217. Is v(47) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.123*-1980\nAnswer: 243.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3 divided by -306774252.\nAnswer: -1\/102258084","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -8*o - 22 = -3*o + l, 6 = -3*l for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand (-7*m - 11*m - 216*m)*(-2*m**2 + 2*m**2 + 2*m**2)*(-2 + 4 + 7)*(4*m - m - m).\nAnswer: -8424*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-10 - -2)\/((-52)\/(-12) - 5). Suppose 27 = 15*b - n*b. Calculate the remainder when b is divided by 4\/3*(-18)\/(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*y**3 + 0*y**3 - 191*y + 191*y.\nAnswer: -3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 14229074581 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let u(k) = -258*k - 1. Let g be 5\/((-15)\/(-9)) - 4. Is u(g) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(g) be the third derivative of -g**10\/352800 + g**9\/70560 - g**5\/20 + 6*g**2. Let s(v) be the third derivative of i(v). Factor s(q).\nAnswer: -3*q**3*(q - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when (-36)\/16*2*((-127)\/3 - -3) is divided by 28?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 610983242.\nAnswer: 2, 305491621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 8210 to the power of 1\/2, to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 111780 and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let v(g) = -2*g**3 + 118*g**2 - 136*g - 5. Let f(m) = 4*m**3 - 296*m**2 + 340*m + 12. Let k(l) = 5*f(l) + 12*v(l). Factor k(d).\nAnswer: -4*d*(d - 1)*(d + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 42542 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14 + 2 = -3*h. Let k be (-2 - 1)\/(363\/93 - h). Let d = k + -9. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: -1151 (base 11) to base 5\nAnswer: -22013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d(k) be the second derivative of 3*k**5\/20 - k**4\/12 + 11*k**3\/6 - 5*k**2\/2 - 5*k + 2. Is d(8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-209*r - 368*r + 162*r)*(-4*r**3 - r**3 + r**3 + (-2*r**2 - 1 + 1)*(-2 + 2 + r)).\nAnswer: 2490*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 299181 is divided by 181?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find d, given that -d**5\/10 + 174*d**4\/5 - 31487*d**3\/10 + 18632*d**2 + 372810*d + 982600 = 0.\nAnswer: -5, -4, 17, 170","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 2733516842?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ggqgqgggggq. Give prob of sequence gg.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-40)\/(-42) - ((-32)\/24 + 2)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: 6+-0.004\nAnswer: 5.996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence sspj when four letters picked without replacement from sjliiiijspsp.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let y(z) be the third derivative of 0*z**5 + 0*z**4 - z**2 - 1\/210*z**7 + 0 - 1\/60*z**6 + 3*z + 31\/3*z**3. What is the derivative of y(a) wrt a?\nAnswer: -4*a**3 - 6*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(q) = 12*q + 103. Suppose -r = 4*x - 2, 6*r - 10*r + x = 26. Calculate the lowest common multiple of 8 and o(r).\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 48, 100, 198, 348, 556, 828, 1170, 1588?\nAnswer: 2088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: -29 (base 13) to base 16\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Factor p**2\/3 + 757*p - 2272\/3.\nAnswer: (p - 1)*(p + 2272)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 0.9897035 litres?\nAnswer: 989.7035","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q(z) = 7*z. Suppose -3*h + w - 9 = 3*w, -2*h = -4*w + 38. Let y(g) = -21*g - 1. What is h*q(m) - 2*y(m)?\nAnswer: -7*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 1.5658 rounded to two dps?\nAnswer: 1.57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, -1, -3, -10 in ascending order.\nAnswer: -10, -3, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let x = -149 + 155. Let p(u) = 25*u - 73. Calculate the remainder when p(x) is divided by (-4)\/(-18) - (-70)\/9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be 1\/(1\/(-2) + 1). Suppose -3*m - 7*q - 9 = -c*q, -m + 4*q + 14 = 0. Suppose -f - 4*t - 25 = -m*f, 0 = f + 4*t - 1. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 105?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Factor -j**3 - 3819*j**2 - 310088*j.\nAnswer: -j*(j + 83)*(j + 3736)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let z = 6 + -3. Which is the nearest to 3\/2? (a) -0.3 (b) 2\/5 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-210)\/(-140))\/((36\/(-42))\/(-1*2272\/(-56))).\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 79? (a) -0.4 (b) 3\/4 (c) 6864 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 57453 is divided by 28725.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let i = 0.015 + -0.235. Let y = 0.52 + i. Let h be 8\/32*1*28. Which is the biggest value? (a) 0.4 (b) h (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 166570856.\nAnswer: 2, 1427, 14591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let q(a) = -a**2 - 3*a + 4. Let w be q(-4). What is the units digit of (-1)\/(w + 1\/(-6))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, 3, -1188, -4, 2, 1, -17 in decreasing order.\nAnswer: 5, 3, 2, 1, -4, -17, -1188","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 2938 and 52.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 15*d + 33*d - 2773 + 280 - 51 for d.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let y = 7130 - 570341\/80. Find the common denominator of y and -95\/8.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -20 + 15. Let i = -13.6 + 15.6. What is the second biggest value in 0.1, i, y?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 0 by -311.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let j(a) = a - 3. Let z be j(3). Suppose 8*u - 6 - 2 = z. Is u smaller than -2\/85?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 419283631?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is -125001059 minus 102540?\nAnswer: -125103599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand (-64 + 286 - 80 + 201)*(-6*k**2 + 3 - 3).\nAnswer: -2058*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let n = -0.55 + 0.15. Let f = 0.1 + n. Let j = -1669\/5 + 334. Which is the closest to 1? (a) 2 (b) j (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -274780 - 274783 + 2*u + 549595.\nAnswer: 2*u + 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let g(x) = 18*x**2 - 3*x - 1 - 2 - 12*x**2. Give g(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 a and 2 b when four letters picked without replacement from {a: 17, b: 3}?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 5*4\/90*951\/(-2853).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 77 and 63.\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand ((3*w**2 - 3*w + 3*w)*(4*w + 0*w - 2*w) + (-9*w**2 + 2*w**2 - w**2)*(-7*w + 2*w + 4*w))*(27 - 27*w - 27).\nAnswer: -378*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let a be 2*(-1)\/(-6)*9. Solve 39*d**a + 190*d**2 - 134*d**3 + 144*d + 190*d**2 + 4*d**4 + 172*d**2 = 0 for d.\nAnswer: -1\/4, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2002459 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(405)*-3*3 - sqrt(405)) + sqrt(405)*2 + 5 - 6*(sqrt(405) + 2*sqrt(405) + 3)*6)**2.\nAnswer: 215064*sqrt(5) + 5460289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 1293 less than -48805.47011?\nAnswer: -50098.47011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let y(r) = -2*r**2 - 63497*r - 2093221. What is y(-33)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-12)\/2*945\/(-567).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f(z) = -6*z - 317. Let p be f(-52). Let c(o) = 0 + 0 - o. Let m(d) = -4*d**4 + 26*d. Let h(q) = p*c(q) - m(q). Find the second derivative of h(a) wrt a.\nAnswer: 48*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*f - 44 = -2*d, 0 = -4*d + 3*f - f + 56. Suppose -d*k = -85 + 25. What is the lowest common multiple of 301 and k?\nAnswer: 1505","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be 3\/(-18) - (-760)\/(-48). Let y = 3 - 19. Is f smaller than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 4 - 10*p**4 + p**4 + 4*p**3 - 2 + 2*p + 7*p**4 to the form v*p**3 + o*p**4 + c*p + a + j*p**2 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let c(f) = -f**3 - 108*f**2 + 4*f + 221903. Is c(0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor q**3\/3 - 697*q**2\/3 + 3436*q\/3 + 5536.\nAnswer: (q - 692)*(q - 8)*(q + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 359478.\nAnswer: 2, 3, 7, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 445663 (base 9) in base 12?\nAnswer: 10a370","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -3*q - 13*q - 16 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 7601, 10205, 12747, 15197, 17525, 19701?\nAnswer: 21695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-2)\/(2\/2 - 2). Suppose -j*a - 1043 = -3*a. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 14313 and 4992.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let q(f) = -3*f**3 + f**2 - 8*f - 5. Let j be (1\/(-1))\/(-2)*-10. Let z(k) = -3*k**3 + 2*k**2 - 7*k - 4. Let h(m) = j*z(m) + 4*q(m). Find t, given that h(t) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 435400 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let g(x) = 272*x**2 - x + 1. Let c be g(1). Let n = c - 10. Suppose 4*o = -3*u + n - 20, u - 2*o = 84. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -696*i + 4*f = -691*i - 37, 3*i = 2*f + 21 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 0.3 (b) 1 (c) 28.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*v - 6 + 1 = m, -m + 16 = 4*v. Suppose 0*j + 54 = v*j + 5*f, -j + 2*f = -18. Solve -2*q = 3*a - 2*a - 8, j = 2*q - 4*a for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 21 divide 1858\/18 + (-2)\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 18 - 9. Do 8 and i have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 12829 is divided by 43?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let w(n) = 3*n - 1. Let g(z) = 15*z - 5. Give 2*g(l) - 11*w(l).\nAnswer: -3*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let d = 168.000556 + -168. Round d to 4 decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-26)\/(-6) + 3\/(-9). Suppose 0 = 2*s + l*h - 22, 0*h - 14 = -2*s - 2*h. What is the third derivative of 4*w**3 - 2*w**2 + 3*w**6 - w**s - 3*w**3 wrt w?\nAnswer: 360*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*n - 9 = -f, 11*n + 3*n - 51 = 3*f for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:34 PM and 1:07 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-1 + (1 - 0))\/1. Suppose 2*l + 4 - 8 = a. Suppose -4*i + z + 12 = 0, 2*z + 0*z = -5*i + 15. Put 4, l, i in ascending order.\nAnswer: l, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 90*w = 94*w + m - 19, -30 = -3*w - 6*m for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} {"text":"Question: Does 6826 divide 625818620?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Determine t so that 48*t**5 + 43368*t**4 + 494571*t**3 + 1954221*t**2 + 3049698*t + 1546728 = 0.\nAnswer: -892, -17\/4, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(190) + (sqrt(190)*-2*-2 - sqrt(190)))\/(sqrt(1000) - 3*sqrt(1000)) - -3*4*(sqrt(1539) + 0)*-2)**2.\nAnswer: 22202659\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let l(f) = -2*f**2. Let d(z) be the third derivative of 51*z**4\/2 - z**2 + 372*z. What is d(l(b))?\nAnswer: -1224*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let w = -14 + 20. Let y be (-3)\/4*4\/(-1). What is the derivative of -7*n**2 + w*n + 8 - 3*n - y*n wrt n?\nAnswer: -14*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*q = 2*t + 8, 2*q + t = 6*q - 4. Is (q + -2)\/4*-418 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3 + 3 + 4*q**2)*(q**2 - q**2 + q**2).\nAnswer: 4*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 53136 and 787644?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 48514.\nAnswer: 2, 127, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 8807.7 rounded to the nearest 1000?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let a be 32\/12 + 4\/(-6). Let m = 10 + -7. Find d such that -2*d - 5*d**4 - 2*d**5 + a*d**3 - 5*d**5 + 7*d**m + 5*d**2 = 0.\nAnswer: -1, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -33*d + 110*d + 308 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1\/3 in 2.23, -1\/3, -0.09, -1102, -1\/8?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2809652.\nAnswer: 2, 702413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let g = -8 - -8.1. What is the fourth smallest value in -4\/3, -3\/2, g, -1\/2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 s, 1 z, and 1 m when three letters picked without replacement from {z: 2, m: 1, w: 1, s: 1, e: 1, o: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in 17\/4 of a kilogram?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i = -20 + 21. Sort 2, i, 0.3 in descending order.\nAnswer: 2, i, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -337 + 335. Let r = -229.56 + 230. What is the nearest to -1 in q, 5, r?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -4447131 (base 8) to base 10.\nAnswer: -1199705","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10 = -3*g - 4*l, 4*g - 3*l - 21 + 1 = 0. Find the second derivative of 12*p**g + 0*p - 5*p - 2*p**2 wrt p.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(a) = a**3 - 11*a**2 + 19*a - 5. Suppose -58 = -t - 49. Let k be o(t). Solve -k*u = -0*p - 3*p, -5*u = -5*p for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -3*y - 10 + 4 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2*t**3 + 2 - 14887*t**2 + 14888*t**2 + 4*t**3 - 17*t to q + o*t + d*t**2 + l*t**3 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Put together -116226 and 0.2.\nAnswer: -116225.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 c and 1 x when two letters picked without replacement from {f: 2, i: 1, l: 1, u: 1, x: 2, c: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let l = 2051 - 1458. What are the prime factors of l?\nAnswer: 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(l) = -l**3 - 9*l**2 - 3*l + 6. Calculate j(-9).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 3695, 7367, 11039?\n\"Answer: 3672*p + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 74\/1029 and 40\/147.\nAnswer: 1029","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let a(o) be the first derivative of -o**6\/960 + 11*o**5\/320 + 3*o**4\/16 + 101*o**3\/3 - 98. Let x(k) be the third derivative of a(k). Let x(c) = 0. Calculate c.\nAnswer: -1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -z - 6*z - 3*z + 100 for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let w(m) = -44*m**2 - 27*m**2 + 11*m + 4 + 70*m**2. Let h be ((-11)\/(-4))\/(1\/4). Let k be w(h). Let l(d) = -d**2 + 6*d - 2. What is l(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -0.9 + 1.9. Let s = 4 + 0. Let g = 0.03 - 5.03. Which is the nearest to -1? (a) g (b) s (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(q) be the third derivative of q**5\/60 + q**4\/4 - 4*q**3 - q**2 - 3. Let c be j(3). Solve 3*x = -3*m + 5*x - 8, 5*x = -4*m - c for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -1858572*t + 1 + 1872400*t - 1 + (2 - 2 - t)*(-3 + 4 - 3).\nAnswer: 13830*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 7 (b) -0.2 (c) 8035 (d) 2\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in 31\/2 of a day?\nAnswer: 22320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: How many centimeters are there in 0.0910078 meters?\nAnswer: 9.10078","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 4\/21, 5, 4, 1195?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, -2, 1741, -3 in decreasing order.\nAnswer: 1741, 4, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.1 and 0.46046.\nAnswer: 0.046046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many microseconds are there in 944.7829 milliseconds?\nAnswer: 944782.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z(y) = -525*y + 43608. What is z(83)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 59788, 119576, 179386, 239230, 299120, 359068?\n\"Answer: 2*g**3 - g**2 + 59777*g + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (46\/(-69))\/(14*(-1)\/(-6))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g be 3 - 0 - (-508)\/4. Let h = 260 - g. Suppose 0 = 2*l - h + 14. Calculate the remainder when l is divided by 31.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 41\/137505 and -17\/458350.\nAnswer: 1375050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*h - 8 - 4. Suppose h*z + l + 8 = 6*z, 5*z = 5*l. Let g(q) = q**3 - 120*q**2 - 240*q - 440. Calculate the lowest common multiple of z and g(122).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(y) be the second derivative of y**3\/6 - 2*y. Let l(i) = -i + 0*i + 0*i. Give l(a(w)).\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: 1123 (base 4) to base 12\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -1121*h**3 + 5243?\nAnswer: -3363*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let b = -5096 - -7770. What is the hundreds digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (1364 - 889 + 4259)*(6 - 6 - r).\nAnswer: -4734*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let i(z) = 64*z**3 - 2*z - 2. Let x be i(-1). Is (-10 - -4)\/((21\/x)\/7) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 15 and 95?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:01 AM and 4:16 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: 1 - (-13 - -3) - 1\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9 = -2*n - w + 4*w, 3*n = 2*w + 6. Suppose -18*z + 14*z + 20 = n. Find v, given that 0*v + 2\/3*v**2 - 2\/3*v**3 + 2\/3*v**z - 2\/3*v**4 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*t + 8 = 0, 5*y = -20*t + 23*t + 5458. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(o) = 4*o - 1. Let h be t(4). Let u = h + -9. List the prime factors of 18\/4*8\/u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 27419.\nAnswer: 7, 3917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let r = -353 - -369. What is the lowest common multiple of r and 8?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -29, 5, 4, 1 in ascending order.\nAnswer: -29, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(2016) + sqrt(56))\/sqrt(8) + sqrt(35)\/sqrt(5) + 2.\nAnswer: 2 + 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(5082)*1)\/(sqrt(384) - sqrt(384)*-1 - sqrt(384)).\nAnswer: 11*sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let w(v) = -3*v - 9. Suppose 5*m - 65 = -6*s + s, -3*m + 15 = 0. Suppose -i = -10 - s. What is the smallest common multiple of i and w(-7)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 30605?\nAnswer: 5, 6121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 9843 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -26640, -106556, -239766, -426282, -666116, -959280?\nAnswer: -1305786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let d = -1 + 2. Suppose -3*k = -5*f - 27, 5*f + 32 = 5*k - 3. Suppose -k*s = -2*i - 9 + 3, 4*s - 1 = i. Sort s, -2, d in increasing order.\nAnswer: -2, s, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-7*(-124)\/(-28))\/(1*2*(-51)\/102).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let d(q) = -q - 4. Let u be d(-8). Suppose u*z = -2 + 22. Suppose 33 = z*p - v, -4*p + 4*v + 30 = -p. Solve 15 = p*i - 3*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 5598 and 72?\nAnswer: 22392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {r: 1, j: 4, h: 2, o: 6, c: 3, k: 3}. What is prob of sequence hjkh?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -6*f - 814*q + 815*q + 11, 0 = 3*f - 2*q - 83 + 70 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (4\/26)\/((-1218)\/(-1508)*1).\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 19*n - 3*n = 112. Calculate the remainder when 14 is divided by n.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(x) = 2*x**3 - 7*x**2 + 2*x - 2. Let n be w(5). Suppose m - 115 = n. Suppose -4*y = -m + 34. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-106)\/70 + 2 + 2\/(-10). What is the nearest to m in 0, -0.1, -12?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*a = c - 4, a + 2*c = 4*c - 8. Solve 3*h = -a + 6 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 5495784 and 420.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let s(u) = -u - 3. Let d be s(-5). Let y(b) = 6*b**2 - 2. Let x be y(d). Suppose 0 = 3*m - 6, -5*m + 0 + x = 4*w. Solve 0*a + 3*a - w = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((m**15*m\/(m**(-2\/11)\/m))\/(m*m**(1\/3))**(-17\/3))**23 assuming m is positive.\nAnswer: m**(56327\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from {j: 3, n: 7}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Express (1 + 1 + 0)*(4 - 10*a - 4) as w + q*a and give q.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 2\/269, -12, -3?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let h be 7 - (-17)\/((-255)\/60). Suppose 0 = -3*l + b - 1, 5 = 5*b. Solve 3*v - 30 = -h*j, 3*v + 5*j - 59 + 19 = l for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -x + 5*x - 476. What is the derivative of -5*o**3 + 8 + 119*o + 12*o**3 - x*o wrt o?\nAnswer: 21*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 45 and 81.\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 j, 1 c, and 1 o when three letters picked without replacement from {c: 9, o: 2, j: 4, l: 1}?\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*y + x - 44 = 0, 0 = -3*y + 5*x + 2 + 2. Solve -a - y = a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*a**2 - 448*a + 64740.\nAnswer: -4*(a - 83)*(a + 195)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -19160, -76891, -173120, -307847, -481072?\nAnswer: -692795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0002717 to 4 dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let o(r) = 37*r**3 - 11*r - 5. Let u(f) = -18*f**3 + 6*f + 3. Calculate 3*o(w) + 5*u(w).\nAnswer: 21*w**3 - 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let n(s) = -s**3 - 18*s**2 - 1008519*s - 20171179. Give n(-20).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 5130129319?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let o(w) = -2*w**3 - 5*w**2 + 4*w + 4. Let a be o(-3). What is the closest to a in 2\/11, -2\/5, 3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 7505013 (base 8) to base 5.\nAnswer: 1003021134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1723*p**3 - 16757*p**3 - 15930*p**3 + 2*p**2.\nAnswer: -34410*p**3 + 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from qqqqqqq. Give prob of sequence qqqq.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: -894 (base 10) to base 11\nAnswer: -743","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q = -128 - -143. Let x = -1.2 + q. What is x rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 424.37 rounded to the nearest 10?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-8)\/((-48)\/9)*(-12)\/9.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 966 and 1126272?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -508*t**3 - 475*t**3 + 1491*t**3 - 476*t**3.\nAnswer: 32*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let x = -0.2 + 0.2. Let h = -5 + 1. Let f = -2 - h. Put f, -3, x in ascending order.\nAnswer: -3, x, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 320.3677 to 1 dp.\nAnswer: 320.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let j(x) = -21*x - 1. Give j(1).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -51976 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let m = -256 - -254. Let b(g) = 37*g**2 - 6. What is the tens digit of b(m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(u) = u**3 - 9*u**2 - 122*u + 119. Give z(16).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*x**2\/2 - 51*x\/2 + 78.\nAnswer: 3*(x - 13)*(x - 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {j: 1, m: 9, i: 3, e: 2, c: 2}. What is prob of sequence ieee?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let o = 546 + -562. What is the third biggest value in o, 0, -2\/17, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(w) = -4*w**2 + 53*w + 103. Let d be b(-12). Which is smaller: -1110 or d?\nAnswer: -1110","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 1080692122 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let g(t) = -1965152*t**3 - 1984*t**2 + 992. Let c(h) = -5937*h**3 - 6*h**2 + 3. What is -992*c(b) + 3*g(b)?\nAnswer: -5952*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*s - 42120 = -25*s. Suppose -5*g + 12 = 32, -2*i = -g - s. List the prime factors of i.\nAnswer: 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 580760501 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 56167607 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((x\/x**(-42)*(x*x**14\/x)\/x)**(-3))**(-3\/2) assuming x is positive.\nAnswer: x**252","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose y = 3*b - 8, -2 = -3*b - 2*y - 0. Let z(r) = -196*r**2 - 4902*r - 44. Let k be z(-25). Solve -b*l + k = -0*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(4860)*2 - sqrt(4860))\/(1*sqrt(12)*-3).\nAnswer: -3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let 2*l**3\/17 - 234882*l**2\/17 - 38560992*l\/17 - 1581552040\/17 = 0. Calculate l.\nAnswer: -82, 117605","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let t = 0 + 3. Let r = -2.99989 + t. Round r to five decimal places.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-1)\/(-7)*2)\/(-17*1\/(-17))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let y(p) = -30*p. Let x(h) = -4*h**2. Calculate y(x(g)).\nAnswer: 120*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let f be 0\/((-1)\/(-1 - 0)). Suppose f = r - 3*r - 8. Does 8 divide r\/(13\/(-4) + 3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 o, 1 j, and 1 b when three letters picked without replacement from jjjqjobjjjjqjqq.\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is -9095 at most as big as -8948?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*g + 2*g = -2*g. Solve 2*t = 4*s - 14, 0 = 4*s - g*s + 4*t + 4 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 28211 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Put together 0.049801 and -803305.\nAnswer: -803304.950199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand -m - 1 - m**2 + m - 4*m**2 - 3*m**2 + 5*m**2 - 2*m**2 + 0*m**2 + 3*m**2 + (-2*m**2 + 7*m**2 - 2*m**2)*(3 - 1 - 1).\nAnswer: m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Round -14.7505 to 0 decimal places.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find l such that -5*l**3\/2 - 22187*l**2\/2 - 15527*l - 4436 = 0.\nAnswer: -4436, -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1769 in -0.5, 3\/7, -1\/6, 5, 2\/17?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: -838 divided by -3\nAnswer: 838\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -0.1, 25.5, 2\/3, 0?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4*(-4 + 2 + (1 + sqrt(98))**2 - (((1 + sqrt(98) - sqrt(98)) + -1)**2 + (sqrt(98) + sqrt(98)*-1)**2*4)).\nAnswer: -388 - 56*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let d(h) = h**2 + 8*h + 19. Suppose 2*c = 6*c + 12. Let t be d(c). Calculate the highest common divisor of 44 and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 6634.54222 rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 93\/(-63) + (10\/3 - 2)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 16 - 5. What is the remainder when 43 is divided by (-4)\/((-16)\/d)*4?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -1424\/195 + -74\/39. Calculate the common denominator of x and -29\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -50 + 4?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 2775 and 111.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -25, -65, -101, -133, -161, -185?\nAnswer: -205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {x: 1, r: 2, t: 2}. Give prob of picking 2 r and 1 t.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 701, 1335, 1969, 2603, 3237, 3871?\nAnswer: 4505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Find n such that -n**5\/5 - 19*n**4\/5 + 42*n**3\/5 = 0.\nAnswer: -21, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: 2310*-3\nAnswer: -6930","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let z = -74 + 90. Let c = -21.54409 - -5.54414. Let j = z + c. What is j rounded to five decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, -5, 1, -1334.\nAnswer: -1334, -5, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -c + 5 - 2. Let k be 21 + 1 + 3\/c. Is 12 a factor of (k\/2)\/(5\/10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(f) = -3*f - 1. Suppose s = -s + 4*q - 16, -s - 2*q + 8 = 0. Suppose 23 - 5 = 9*a. Suppose s = -l - l + a. What is u(l)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) = -r**2 + 125*r + 1498. Let m be l(136). Let k(q) = 4*q**2 + 12*q + 1. Let c(z) = 9*z**2 + 25*z + 2. Determine m*c(v) - 5*k(v).\nAnswer: -2*v**2 - 10*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in 7\/2 of a milligram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 34638098, 69276197, 103914296, 138552395, 173190494?\n\"Answer: 34638099*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 282 a factor of 19203918?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(216)*1)\/(sqrt(32)\/(sqrt(24)\/sqrt(3))))\/(5*-1*(sqrt(2) + (sqrt(2) - sqrt(2)*3))*5).\nAnswer: 3*sqrt(3)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 7 = 2*k - 2*y - y, -4 = 4*y for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 618 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 h, 1 l, and 1 v when four letters picked without replacement from {h: 4, l: 1, v: 6}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -4875, -9753, -14631, -19509, -24387, -29265?\n\"Answer: -4878*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -1284*d**3*f**3*z - 159*d**3*f*z + 10799*d**3*z**2 - 4921*d**2*f**3*z**2 + d*f**2*z wrt f.\nAnswer: -7704*d**3*z - 29526*d**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 8 + -9 - -6 - 7?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 26797 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -7204, -28836, -64886, -115348, -180216?\nAnswer: -259484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Divide -17764 by -35.\nAnswer: 17764\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let o = 5765.99993166 + -5766. What is o rounded to 5 decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0030321657 rounded to six decimal places?\nAnswer: -0.003032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let u = 8.9 + -9. What is the closest to -0.2 in u, 0.1, -3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 41393 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 0.2 + 26453630494.969.\nAnswer: 26453630495.169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 4*k**4*r**2 + 7*k**4*r + 3*k**2*r + 361*k + 2*r**2 wrt k.\nAnswer: 48*k**2*r**2 + 84*k**2*r + 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let x(v) = 13748*v**2 - 24*v. Let m be x(-12). Round m to the nearest one hundred thousand.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2*((-29)\/(-14) - 2).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let d(n) = -n**3 - 4*n**2 - 4*n - 1. Let v(c) = -c**3 - 4*c**2 - 3*c. Let q(p) = -2*d(p) + 3*v(p). Let s = -5 + 9. Let a = s + -7. What is q(a)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 30 = -4*n - 2*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0944 times -10.32?\nAnswer: 0.974208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let n(z) = -4*z - 31. Let p be n(-9). Suppose s = -p*c - 23, s - 4*c - 16 = 3*s. Solve -s*q + 1 = -q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-8)\/(-8*(-84)\/48).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 95823506, 95823505, 95823504, 95823503, 95823502, 95823501?\nAnswer: 95823500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let a(c) = 12*c + 90. Does 6 divide a(51)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.173 times 0.1?\nAnswer: 0.0173","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 6027*r + 5928*r - r**3 - 11955*r.\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let h = 3634 + -3610. Let z(q) = -q**2 + 6*q - 4. Let i be z(4). What is the least common multiple of h and (-75)\/(-10)*(i - 2)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(d) = -3*d. Let k(a) = -5*a**2. Give m(k(g)).\nAnswer: 15*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let p(o) = -o**3 + 2*o**2 + 7*o + 7. Calculate p(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let s be -3*1 + 7 + 1. Let p(m) = 3*m - 4. Let i(x) = -4*x - 9 + 27 - 13. What is s*p(t) + 4*i(t)?\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((c\/c**(-8))\/c)\/c)**27 assuming c is positive.\nAnswer: c**189","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 6\/8*(-448)\/(-56).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-5)\/(10\/(-4)) + 3. Solve -j + 0 = -y for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(g) = -10*g**3 - 2*g**2 + 1. Suppose 3*h - 2*h = m - 1, -5 = 5*h + 5*m. Let i be v(h). Solve -2*w + 15 = 5, -3*w + i = 3*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -12 - -9.96. Let r = s + 0.04. Let m = 1\/4 + -11\/12. What is the second smallest value in m, -3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be 3\/6*4*6288\/(-96). Which is smaller: w or -397\/3?\nAnswer: -397\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(h) = 5*h**2. Let x(v) = -6*v**2. Let f(c) = -3*x(c) - 4*z(c). Let l(j) = 2*j**2. What is l(f(i))?\nAnswer: 8*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let h(f) = 24*f**2 - 3*f - 3. Let w be h(-2). What is the greatest common divisor of w and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-2)\/(-10)*75\/35?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Divide -2190 by -31871.\nAnswer: 2190\/31871","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*q - 4*d = 324, 9*d - 10*d + 387 = -5*q. Let b = 96 + q. What is the lowest common multiple of 44 and b?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*r + 128 = f, 3*f + r - 3*r = 299. Let n = -87 + f. Calculate the greatest common factor of 752 and n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -5323\/2884 - -54\/103. What is the common denominator of -13\/22 and u?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -8 - (3 - 10) - 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 4*g**3*q**3*w + 83*g**3*q**2*r*w - 3*g**3*q*r*w + g**3*q*w - g**3*r - 12*g*q**3*r*w + q**3*r*w wrt q.\nAnswer: 24*g**3*w - 72*g*r*w + 6*r*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -76, -85, -100, -121, -148?\nAnswer: -181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let x(c) = 662*c**2 + 86*c - 415. What is the thousands digit of x(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many decades are there in one tenth of a century?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 32261527153 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: -420 divided by -21\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand (5*a**2 - 2*a**2 - 2*a**2)*(-4 + 4 + a**2) + (5*a**2 - 3*a**2 + 5*a**2)*(-1 + 2*a**2 + 1).\nAnswer: 15*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Subtract -50945 from -603805.\nAnswer: -552860","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let b = 9 + -5. Suppose -2*j + 4 = -b. List the prime factors of j*2\/(-6)*-3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -12041 + 12062?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -b = -p + b + 14, p + 10 = -4*b. Let x = -3 + p. Suppose 6 = x*n - n. Let t(v) = v - 5. Calculate t(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 4409 - 2369. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -3\/7 in 3, -3\/2, -2\/3, -3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 552 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Divide 3768 by -18647.\nAnswer: -3768\/18647","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 24377.\nAnswer: 19, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 0.4 (b) 1\/44 (c) -50\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let p(o) = 8*o**5 - 18*o**3 - 3*o - 10. Let r(x) = 3*x**5 - 2*x**4 + 7*x**3 + x**2 - x. Let w(k) = -p(k) + 4*r(k). Find the third derivative of w(y) wrt y.\nAnswer: 240*y**2 - 192*y + 276","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -21\/56876 and 1\/118?\nAnswer: 56876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: -8 + -43.76\nAnswer: -51.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Factor -20*i**2 - 13789588*i - 5515832.\nAnswer: -4*(i + 689479)*(5*i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let c(l) = -l**3 + 212*l**2 - 516*l + 63808. Give c(211).\nAnswer: -547","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 24725212?\nAnswer: 2, 137, 45119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x\/(x\/(x*(x**(-30)\/x*x*x)\/x)))\/(x*x\/x**(-10)*x) assuming x is positive.\nAnswer: x**(-42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: 7 - 32074496176843\nAnswer: -32074496176836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let l(p) = -p + 3. Let a be l(3). Suppose -8*n + 9 = -15. Calculate the lowest common multiple of 1 + 1 - (-1 - a) and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -y - 8*y + 1512 = 0. Let q = -89 + y. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 85128.26 millilitres in litres?\nAnswer: 85.12826","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g be 3\/(-6) + 6\/4. Let q(t) = 8*t**2 + 6*t + 6. Let j = -870 - -876. Let d(n) = -n**2 - n - 1. What is g*q(w) + j*d(w)?\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify q**1\/((q*q*q\/(q*q**(-18)))\/q) assuming q is positive.\nAnswer: q**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let r = 113 - 106. Let o = -8 + -50. Let p = o - -58. Which is the second biggest value? (a) -3 (b) r (c) 5 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1657314 is divided by 331?\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x**(-12)*x**7)**(-1\/4) assuming x is positive.\nAnswer: x**(5\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 15783\/10 or 1579?\nAnswer: 15783\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 127 is divided by 78.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(1080)*6 + -4*2*sqrt(30))\/((3*(sqrt(70) - -1*sqrt(70)))\/(5*sqrt(63))).\nAnswer: 70*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 6\/(3\/(-14)*(-56)\/(-80)*(-220)\/(-88))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -41429544*k**2 + 16748608 wrt k.\nAnswer: -82859088*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*y = 6*f - f - 1960, 0 = f - 2*y - 391. Let p = 619 - f. Calculate the remainder when p is divided by 47.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -87935\/24 + 3669. What is the common denominator of t and -65\/36?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*j = -3*d + 116, 130 = 3*d + 6*j - j. Calculate the highest common factor of d and 280.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -16\/37 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {w: 1, j: 2}. Give prob of sequence jj.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*m**3\/2 + 3333*m**2 + 3729483*m\/2 + 14705388.\nAnswer: 3*(m + 8)*(m + 1107)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12*r**4\/7 - 336474*r**3 + 57699450*r**2\/7 - 38184924*r - 21195216 = 0. Calculate r.\nAnswer: -1\/2, 7, 18, 196252","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 2\/(((-10)\/(-38))\/5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(j) = -97*j + 6. Let a be y(-8). Suppose a = 7*g + 10*g. Does 4 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 1\/2 (b) -246 (c) 189468\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let j(o) = -o**2 - 9*o - 7. Let w(n) = n**3 - 9*n**2 + 5*n + 19. Let m be w(7). Let v = 38 + m. Is j(v) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -q + 4*h = 48, 0*h = -3*q - 2*h - 200. Let g be 1 + (0 - q) - 1. Put 2, 4, g in decreasing order.\nAnswer: g, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.01 plus -42.42?\nAnswer: -42.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -h + 3*j - 8, 0 = j - 3. Let i = h - -1. Solve -r + i = -0*k - 3*k, 3*r = -k + 6 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((i*(((i\/i**(-2\/3))\/i)\/i)\/i)**(-2\/11)*(i\/i**(-4))\/((i**(-7)*i)\/i))**(-5\/6) assuming i is positive.\nAnswer: i**(-995\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let v(f) = -15*f**2 - 7*f + 7. Let w(u) = -7*u**2 - 4*u + 3. Let j(m) = 4*v(m) - 7*w(m). Find the first derivative of j(q) wrt q.\nAnswer: -22*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 780*w + 787*w - 2136*w + 584*w.\nAnswer: 15*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let b(l) = -l**3 - 7*l**2 + 9*l + 10. Let p be b(-8). Is 594\/55*5\/p a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 193737939 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose j + 1 = 3*p - j, 0 = p - 5*j - 22. Let l be (33\/6)\/(p\/(-18)). What is the greatest common factor of l and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) 0.58 (b) -22 (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: -40981 divided by 9\nAnswer: -40981\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Determine f so that 4*f**3\/5 + 131424*f**2\/5 - 23223552*f\/5 + 1023199232\/5 = 0.\nAnswer: -33032, 88","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let p(d) = -d + 4. Let s be p(-4). Suppose -z = 34 + s. Let l be (-1)\/((4\/z)\/((-6)\/(-9))). What is the greatest common divisor of 56 and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (45\/(21420\/(-374)))\/((-1)\/6)*7.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v\/(v\/(v*v**(-2\/7)))*v*v)**(-1\/31)\/(v\/(v**(-3\/8)*v)*(v*v*v**(-8\/5)*v*v)\/v) assuming v is positive.\nAnswer: v**(-16167\/8680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 27 a factor of 183249?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let w(f) = -254*f**3 - 12*f**2 + 2*f - 30. What is the tens digit of w(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 3\/2? (a) -5 (b) 80\/61 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let k(g) = -g**3 - 10*g**2 - 7. Let d be k(-10). Let w = d - -10. Suppose -w*m + 5*m + 8404 = -s, -4*m = -3*s + 16788. Round m to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:59 AM and 3:51 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let v(w) = -2*w**2 - 247*w + 1207. What is v(-128)?\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16*y - 324 = 124*y. Let q(g) = -3*g**2 + 11*g + 36. Determine q(y).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 586 minutes before 11:04 PM?\nAnswer: 1:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 0.5 (b) 2 (c) 0.056\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let z = -49 + 35.7. Let u = z + 13. What is the closest to 0 in u, 5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -38 (base 16) to base 14.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 599 a factor of 3701235?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let o(a) = -a**3 + 12*a**2 + 3. Let p = 12 - 0. Let x be o(p). Let h = 2 + 0. Solve -f - c = c - 8, h*c = x*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -4*i**4 + 12000*i**3 - 547*i**2 + 5*i + 9095943 wrt i?\nAnswer: -48*i**2 + 72000*i - 1094","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -5b4 - 5?\nAnswer: -5b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -36670 + -93?\nAnswer: -36743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 15\/4 of a century in months?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g = -107 + 69. Let j = 3 - g. Suppose j = 2*p - z, p = 4*p + 3*z - 75. List the prime factors of p.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-306)\/(-10) + (-4)\/(-10). Let m = 55 - s. Solve -c - 5*t = c - 21, 4*t = 2*c + m for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 30a9905 (base 11) to base 2.\nAnswer: 10100111000011101110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 118432929?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let d(a) = -a**2 + 9*a + 1. Let h be d(7). Suppose 0 = -8*c - 2 + 34. Solve -p - h = c*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 11*w**3 + 15161*w**2 + 3*w - 745837 wrt w.\nAnswer: 66*w + 30322","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let m = -59 - -61.5. Let j = 2 - m. Which is the third biggest value? (a) -0.07 (b) -1\/6 (c) j (d) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 113017121 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 1249999 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 25186?\nAnswer: 2, 7, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: 9416647966 + 4292\nAnswer: 9416652258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Multiply -1497 and -4.2.\nAnswer: 6287.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 0 smaller than -91\/342273?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, 129, 0.\nAnswer: -1, 0, 129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Express 7*i**3 + 11*i**3 + 2*i**3 + 22*i**3 + 4*i**3 + 18*i**2 as y*i**3 + q*i**2 + x + d*i and give y.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*c = -4*k + 46, -2*c - 173 = -4*k - 129 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 8138422 and 16511.\nAnswer: 89522642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 85\/2 and -35\/76?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2269604 is divided by 1695.\nAnswer: 1694","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*o**2\/5 - 108*o - 12768\/5.\nAnswer: -3*(o + 28)*(o + 152)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let c be -2*(-3 - (-44)\/8). Let g(y) = 5*y + 4. Let s(o) = -4*o - 3. Determine c*g(x) - 6*s(x).\nAnswer: -x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.39 in -1\/4, 1.3, 3, 0?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 16250 < 16227?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate 8*0.088576.\nAnswer: 0.708608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let l(k) = -k**2 + 8*k - 7. Suppose 4*j - 7 = 3*j. Let x = 9 + j. Let u = x - 11. Give l(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 41.952 - -0.048. Let g = -41.99977 + t. What is g rounded to 4 dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.4 in 3, -0.1733, 203\/4?\nAnswer: -0.1733","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} {"text":"Question: Let y be (-2 + 56\/36)*144\/(-480). What is the fourth smallest value in -1\/8, 5, y, 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 253, 402, 649, 988, 1413, 1918, 2497, 3144?\nAnswer: 3853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let t be 9\/21 + 2577\/357. Let p = -2957\/340 + t. Calculate the common denominator of 464\/36*1*(-12)\/(-32) and p.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(q) be the third derivative of q**6\/30 - 2*q**5\/3 + 7*q**4\/6 + 12*q**3 - 303*q**2. Factor c(t).\nAnswer: 4*(t - 9)*(t - 2)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 0.886 - -45.214. Let v = g + -44.1. Which is the closest to -1? (a) v (b) -0.4 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-o**2 - 3 - 3 - 6)*((-4*o + 7*o + o)*(o + 2*o - 2*o) - 4*o**2 + 11*o**2 + 2*o**2) to s*o + p*o**4 + g*o**3 + t*o**2 + u and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let s(b) be the second derivative of b**5\/140 - b**3\/42 - 5*b - 3. Factor s(c).\nAnswer: c*(c - 1)*(c + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (1 + (-45)\/6)*(-4500)\/(-1625)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 1 + 3)*(-71*s + 1995 - 1995)*(-1 + 1 + s).\nAnswer: -213*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let g(y) = -62143*y**2. Let v(h) = h**2. Determine g(v(n)).\nAnswer: -62143*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 330524200?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Convert 111 (base 4) to base 7.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f*f*f**(10\/3)*f\/(f**(-9)\/f))\/(f*f**(2\/7)*f\/(f\/(f**4\/f)*f)) assuming f is positive.\nAnswer: f**(274\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 7862489565?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(5) - sqrt(20)\/sqrt(4)) + 3)*-3.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 - 4 + 2)*(-3 + 4 - 3)*(-106 + 106 - 94*g**5).\nAnswer: -188*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand (5*j**2 - j**2 - 5*j**2 - 2*j**3)*(-2 + 2 + 2*j**2 + (0 - 2 + 0)*(-3*j**2 - 2*j**2 - j**2)).\nAnswer: -28*j**5 - 14*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -10*p**2 - 7*p**2 - 15*p + 2*p**2 - p wrt p?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -2899 and 6.\nAnswer: -17394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -614831 or 1?\nAnswer: -614831","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y**(-3))**17\/(y*y*y**(-2\/11)\/y*y)**(-11\/5) assuming y is positive.\nAnswer: y**(-47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let s be 6\/(-3) + (11 - 9). Suppose 0 = 2*o + 1 - 7, s = -2*m - o + 11. Solve 5*f - 5*l = -25, m*f - l = 2*f - 5 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -5 - -7. Suppose 5 - 21 = -u*c. Suppose -d + 27 = 3*q, -4*d + 14 = 2*q + 6. What is the smallest common multiple of q and c?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5 = -2*b - 3*w, 2*w - 6*w - 19 = -b. Calculate the remainder when 25 is divided by b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is u in 5*u**5\/3 + 40*u**4 - 875*u**3\/3 - 4550*u**2 - 8160*u + 12960 = 0?\nAnswer: -27, -6, -4, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {o: 6, h: 7, b: 2}. Give prob of sequence oobo.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 121 minutes after 12:08 AM?\nAnswer: 2:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 123, 274, 463, 690, 955, 1258?\n\"Answer: 19*k**2 + 94*k + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 53 a factor of 1855?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let n(i) = -4*i - 32. Suppose h + 214 = 5*h - 5*q, 5*q = -4*h + 194. Let p = -64 + h. What is the least common multiple of 18 and n(p)?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 976071929 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Determine h so that -h**2\/3 + 34621*h\/3 - 138436 = 0.\nAnswer: 12, 34609","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -5260, -6904, -9638, -13468, -18400, -24440?\nAnswer: -31594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -r + 57 = -2*u, -70*u = -66*u - 5*r + 129 for u.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let h(v) = -2*v**3 + 167*v**2 + 64*v + 1698. What is h(84)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: 13 + (36 - 19) + -2\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: 3 - (8 + -14 + 1)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {b: 1, p: 5, m: 1, s: 3, t: 1, l: 2}. What is prob of sequence ppsb?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5*(sqrt(931) - (sqrt(931) - (1 + sqrt(931) + 2)))**2 + 3*(-2 + sqrt(931))*-6.\nAnswer: 84*sqrt(19) + 4736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let s(d) = -3*d**2 + 6*d**2 - 6846*d + 13693*d - 6847*d. Let v(b) = 3238*b. Determine v(s(r)).\nAnswer: 9714*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 2544*d - 2545*d + 2 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let h(a) = -117*a + 138. Give h(5).\nAnswer: -447","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let l(f) = 4*f**3 - 105*f**2 + 31*f - 113. Let j be l(26). Solve -6*i + j = -13 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -86816\/7 - -12402. Which is the third smallest value? (a) 1 (b) j (c) -89\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be 4*29 - (19 + -16). Suppose 79 = 4*a - l. Suppose -2*h + 0 = -a. Calculate the remainder when 71 is divided by h.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -4546*b**2*u**3 + 614*b**2*u - 2*b**2 + 2*b*u**3 + 5*b*u**2 - 410*b*u - 10*u**3 + 2*u + 188 wrt b.\nAnswer: -9092*u**3 + 1228*u - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let d(a) = 2*a + 113 - 42 - 71. Let h(y) = -26*y. Calculate d(h(z)).\nAnswer: -52*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 204141685?\nAnswer: 5, 11, 61, 71, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let z = -155 - -397. Let c be (-1)\/(-2) - z\/(-44). Solve 2*j + 7 = 3*h, j = -4*h - 4 + c for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(833)*3 + -3)**2*-3 - ((sqrt(833) - (2 + sqrt(833) - sqrt(833) - sqrt(833) - sqrt(833))**2) + -2)*-5.\nAnswer: -39208 + 693*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence jj when two letters picked without replacement from {u: 4, l: 2, o: 4, j: 9}?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Convert 2 (base 12) to base 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from fgggtgrfgggffgg. What is prob of sequence tfff?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let z(j) = 19*j + 5. What is z(-2)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 129913037 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 362.\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth smallest value in -8845, 45, 5, -3\/4, 4, -0.5?\nAnswer: 45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) be the third derivative of 0*w**3 - 14*w**2 - 2\/105*w**5 + 13\/210*w**6 + 5\/588*w**8 + 0*w + 0*w**4 - 32\/735*w**7 + 0. Find y such that r(y) = 0.\nAnswer: 0, 1\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: -10 + 15 - (-3 + 10 + -4)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*l**3 + 22*l**2 + 17*l - 10.\nAnswer: -(l - 5)*(l + 1)*(5*l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let b(s) = 6*s + 46. Let d(q) = 2*q + 15. Let u(g) = -5*b(g) + 14*d(g). Determine u(-11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*b**2\/7 + 66260*b\/7 - 14294856\/7.\nAnswer: 4*(b - 213)*(b + 16778)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let i = -87\/202 + 59\/606. Let f be 6 + -3 + -3 - -2. Which is the nearest to -0.1? (a) -15 (b) i (c) f (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 69 + 43 = -8*s. Let c = s - -18. Solve c = -4*p + 3*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -17 - 3c3a?\nAnswer: -3c52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1833 divided by 9.\nAnswer: 611\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate 20256992 + 5.\nAnswer: 20256997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let w(r) = -4*r**2 + 5*r. Let y(c) = 43*c - 183*c + 42*c + 37*c + 28*c. Calculate w(y(z)).\nAnswer: -4356*z**2 - 165*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is (-377910)\/(-31635) - (4\/74)\/(-1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -2572530 rounded to the nearest one hundred thousand?\nAnswer: -2600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let o(w) = -w + 5. Let j(d) = -3*d + 15. Let h(f) = 4*j(f) - 11*o(f). Let v be h(2). Suppose 389 = 5*l - 2*c, -v*l + c - 6*c + 252 = 0. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 131773267 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 29\/2 of a kilometer in meters?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y(x) be the third derivative of -5*x**4\/3 + 5*x**3\/2 - 23*x**2. What is the derivative of y(q) wrt q?\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -3 + -422503?\nAnswer: -422510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {k: 6, w: 4, q: 2}. What is prob of picking 2 w?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Put 4\/3, -138, 5.35, 0.26 in descending order.\nAnswer: 5.35, 4\/3, 0.26, -138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Sort -550, -11, -2, 2711 in increasing order.\nAnswer: -550, -11, -2, 2711","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-2)\/(-54))\/((-73)\/438)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -5*(-77)\/(-110)*(-2)\/(-1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -1 + (-1 - 0)*3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -46 + (-1 - -4) - (1 + (-2 - 1))?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: (-3)\/(-4) - (9\/36 + (-3)\/(-6))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*y**3\/3 + 460*y**2\/3 - 914*y\/3 + 152.\nAnswer: -2*(y - 228)*(y - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*b**2 - 3*b**2 - b**2)*(-1 + 0 + 2)*(b - 2*b - b) + 3*b**3 + 4*b**3 + 0*b**3.\nAnswer: 11*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 210*q + 1951 = -277 - 82 for q.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 25227547 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate (1398\/3029)\/(1071\/78)*-14.\nAnswer: -8\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 6*h = 3*b, 4*b - 15 = 218*h - 215*h for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 6339334917 to the power of 1\/5, to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 150342*s**4 + 25*s**2 - s + 2?\nAnswer: 3608208*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 2468541?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {m: 3, b: 7, a: 2}. Give prob of sequence abb.\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let y(a) = -1 + 3 + 0*a - a. Let q(h) = 2*h - 5. Let o(d) = d**3 + 15*d**2 - d - 6. Suppose -5*i = 2*i + 105. Let z be o(i). Give z*y(g) + 4*q(g).\nAnswer: -g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -18*j + 150 = -3*j for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in 26\/11, -14, 6?\nAnswer: 26\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let k(d) = -8*d**2. Let v(j) = -j**2 - 5*j - 5. Let w(p) = -p - 1. Let f be (37 + -42)*3*(1 + 0). Let y(x) = f*w(x) + 3*v(x). What is k(y(l))?\nAnswer: -72*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: -0.12 - -0.0459\nAnswer: -0.0741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 359*i - 368*i + 9 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: 4 * -1.3\nAnswer: -5.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let o(a) = -99698781*a**2. Let m(j) = -5*j. What is m(o(g))?\nAnswer: 498493905*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 0.9 less than -6808425?\nAnswer: -6808425.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -17032566, -17032563, -17032558, -17032551?\n\"Answer: j**2 - 17032567","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*p - 55 = -5*z, 0 = -5*z - 3*p - 3 + 28. Let q be 2\/((4 + -3)*1). Solve 6*s - q*s = -z for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 731 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let v = 107 + -65. Let u = v + -40.9. What is the second biggest value in u, -4, 4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -5, -54, -0.1, -0.07, -2, 2\/9?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let q be -2 - (-26 - 1) - 1. Suppose q = 4*u + 4. Suppose 3*j + 28 = u*o, -3*o - 3*j = -11 - 1. Solve -o*w - 8 = 2 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 101\/348 and -143\/618.\nAnswer: 35844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 4445 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 19298*f*j**3 + 2*f*j**2 - 310*f*j + 2*j**2 + 4 wrt j.\nAnswer: 115788*f*j + 4*f + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence zgff when four letters picked without replacement from {z: 2, g: 4, f: 2, c: 3}?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 4 and 38030000?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -0.5, 4, -1, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let x = 2116.9 - 2117. What is the nearest to -369 in x, -4, 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 46 a factor of 21180?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14*a - 19*a + 75 = -5*f, 0 = -2*a - f + 21. Solve -5*h = -11*h + a for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 6*k = -1850*z + 1854*z + 54, 0 = 2*k - 3*z - 23 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 23*l - 140909 = 22*l + p, 0 = -2*l - 4*p + 281794. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 55.51 minus -21?\nAnswer: 76.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -45*f - 253 + 343 = 0. Solve -c + f + 2 = -4*n, -3*c = -4*n - 4 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 66 - 62. Factor -9*c + 9*c**2 + 2*c**4 + 15*c - 5*c**f.\nAnswer: -3*c*(c - 2)*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 455, -0.5, -270?\nAnswer: -270","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6 + 24 = 6*l. Put l, -1\/6, -0.2, -16 in descending order.\nAnswer: l, -1\/6, -0.2, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 45 divide 590625?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4602313 is divided by 33350.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 42739 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many meters are there in 64008.92 centimeters?\nAnswer: 640.0892","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 1231324 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14*b + 20 = -8. Let k(h) = -h**3 + h**2 + 3*h - 1. Calculate the remainder when b is divided by k(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5856 = 25*u - 25056. Calculate the highest common factor of 12 and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 0.04327 + 0.45673. Which is the third biggest value? (a) -1 (b) -19 (c) 1\/4 (d) l (e) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.4166 and -308.\nAnswer: -128.3128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Convert 7 (base 8) to base 5.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m(q) be the third derivative of q**4\/24 - 5*q**3\/6 - 15*q**2 + 2. Determine m(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 776 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let h(i) = 2*i**2 + 15*i - 4. Give h(-9).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 9*p - 13*p + 6*d + 45 = -9*p, d = -4*p - 17 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 48 - -357e9?\nAnswer: 35831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is (-11192)\/3*204\/(-272) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 204 and 562802.\nAnswer: 3376812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let a(i) = -i**3 - 26*i**2 - 3*i - 5. Let y(n) = -n**3 - 52*n**2 - 5*n - 9. What is 5*a(t) - 3*y(t)?\nAnswer: -2*t**3 + 26*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let -3*g**3 - 1653*g**2 + 4980*g - 3324 = 0. Calculate g.\nAnswer: -554, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Sort -604, 0, -1, 4, -494.\nAnswer: -604, -494, -1, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Convert -8403741 (base 9) to base 13.\nAnswer: -c12c13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1404 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Work out -18.2 * -0.026884.\nAnswer: 0.4892888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*a**3 + 5*a**3 - 34*a**3 + (3*a - a + 0*a)*(801*a**2 + 899*a**2 - 1541*a**2).\nAnswer: 291*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((d**7)**(-37)\/(((d\/(d*d**(-1\/2))*d)\/d*d)\/d**24))**(-1\/38) assuming d is positive.\nAnswer: d**(473\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2634.\nAnswer: 2, 3, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let z(g) = -g**2. Let c(t) be the third derivative of 7*t**4\/12 + 19*t**2. Determine z(c(r)).\nAnswer: -196*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 19*g = 4*g + 60 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.3? (a) -2\/69 (b) 26 (c) 2\/3 (d) 7\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 50183 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let s = 1542 + -1491. What is the remainder when 967 is divided by s?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (4 + -75 - -53) + -75?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 0 - (-37 - (1 + (0 - 11)))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -705 (base 10) in base 16?\nAnswer: -2c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 610834952 and 3160?\nAnswer: 632","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*m = q + 10 - 43, -4*q + 208 = -m. Let j = 57 - q. Solve -j*z = -11 - 5 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 0.2 - -237.8. Let s = 217 - r. Does 5 = s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 257 + -253. What is the closest to -3 in -0.5, 8\/3, b?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -81*t = -683*t + 4867 - 2552 + 3705 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let t = 427 - -2698. What is the highest common factor of 125 and t?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -7, 1\/9, 5, 0.02 in increasing order.\nAnswer: -7, 0.02, 1\/9, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3 - y + 1 + 4)*(0*y**2 - 2*y**2 + 0*y**2).\nAnswer: 2*y**3 - 4*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -r + 67*r**2 - 198*r**2 + 70*r**3 + 69*r**2 + 66*r**2 to the form l*r + y*r**3 + i + n*r**2 and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is -0.2617625 rounded to 4 decimal places?\nAnswer: -0.2618","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let o(z) = 37*z + 73. Let m(a) = -23*a - 49. Give 8*m(w) + 5*o(w).\nAnswer: w - 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let m = 2.4 - 2. Let y(d) = 2*d**2 + 182*d - 1163. Let s be y(-97). What is the closest to -3 in -1, m, s?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(c) = 45*c**2 + 5*c + 5. What is the tens digit of i(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -1\/2, -4, -5, 1.\nAnswer: -5, -4, -1\/2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let h = 12 + 3. Let c = 130 + -87. What is the remainder when c is divided by h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: 5 (base 11) to base 15\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -244 (base 7) in base 14?\nAnswer: -94","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 212408?\nAnswer: 2, 7, 3793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3 + sqrt(22)\/((sqrt(12) + sqrt(60)\/sqrt(5) + sqrt(12))\/sqrt(6)).\nAnswer: sqrt(11)\/3 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from rgthhrrr. Give prob of sequence rg.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, -399, 4.\nAnswer: -399, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Sort 8, -4, -1\/6, 32, -5, 0.2 in decreasing order.\nAnswer: 32, 8, 0.2, -1\/6, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 26054.67 nanometers in meters?\nAnswer: 0.00002605467","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v**(-1\/2)*v)**(2\/15)*(v\/(v**(3\/8)*v))\/(v\/v**(-3\/5)) assuming v is positive.\nAnswer: v**(-229\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*c + 12 = 0, -2*d - 2*c + 6 = -4*c. Suppose h = 3*y - d, 3*h - 14 + 2 = -2*y. Let o(j) = -h*j**3 + 3*j**2 + 179*j - 177*j + 3*j**3. Give o(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -2 - -5\/2. Factor 0*c**2 + 0 + 0*c**4 - 1\/2*c**5 + 0*c + q*c**3.\nAnswer: -c**3*(c - 1)*(c + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify i**(-2\/7)*i\/(i**(1\/4)\/i)*i**(5\/8)*i\/(i\/i**(-8)) assuming i is positive.\nAnswer: i**(-331\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -94*o + 55*o + 45*o.\nAnswer: 6*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 104858, 104911, 104968, 105029?\nAnswer: 105094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 4295*b**3*n - 2*b**3 - 48*b**2*n + 46*b*n + 518*b - 5 wrt b.\nAnswer: 25770*b*n - 12*b - 96*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is -613645344 plus 0.9?\nAnswer: -613645343.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate 51\/2108*(-1440)\/3780.\nAnswer: -2\/217","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate -94 + 170 + -231 + 65.\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-11 + 10)*2\/14.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/10 of a kilometer in centimeters?\nAnswer: 30000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 11395296.\nAnswer: 2, 3, 11, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let k(w) = -2*w**2. Let z(v) = 9683*v. What is z(k(j))?\nAnswer: -19366*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 364 a factor of 478858?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*s + 4*j = -1 + 2, 5*j + 3081 - 2961 = -125*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 39*z - 11*z = 84 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 15 a factor of (6\/(-5)*3)\/(8\/(-800))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(o) = o**3 + 283*o**2 + 2976*o + 26. Calculate t(-11).\nAnswer: 202","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8 = -2*f + 2*g, 0*f + 2*f - 4*g + 16 = 0. Suppose 0*k + 508 = 2*k + 3*c, 3*c + 12 = f. Let s = k + -1810\/7. Which is bigger: 0 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 22 - -32. Calculate the highest common factor of 6 and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1055066?\nAnswer: 2, 527533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 5906*j = 5920*j - 70 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-51)\/34 + 3\/2. Let n(b) be the second derivative of -1\/10*b**5 - 3*b + 0 + 0*b**4 + 3\/2*b**2 + f*b**3. Differentiate n(m) wrt m.\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3*60\/9*(-7)\/28.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u(s) be the first derivative of -7*s**4\/4 - 23*s**3\/3 + 5*s**2\/2 + 5*s + 3072. Let z(y) = 6*y**3 + 22*y**2 - 4*y - 4. What is 4*u(x) + 5*z(x)?\nAnswer: 2*x**3 + 18*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -7*b**2 + 164*b - 164*b + 8*b**2.\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let v = 98 - 104. Let a(t) = -1 - 2*t**3 - 2*t**3 - 2*t**3. Let m(s) = 7*s**3 + 1. What is v*a(q) - 5*m(q)?\nAnswer: q**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 1205220, 1205218, 1205216, 1205214?\n\"Answer: -2*r + 1205222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let l(o) be the second derivative of 1\/80*o**5 + 0*o**3 - 1\/168*o**7 + 0 - 3*o + 1\/48*o**4 + 0*o**2 - 1\/120*o**6. Factor l(i).\nAnswer: -i**2*(i - 1)*(i + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 38 + -25. Is q a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -34478 to the nearest one hundred.\nAnswer: -34500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 250982655.\nAnswer: 3, 5, 7, 11, 37, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -25*y + 1 = -24*y, -2*y + 6 = o. Solve -o*b - 16 = -n - 15, -3*n = 6*b - 3 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y\/(y**(-13)\/y)*y**(1\/23))**(-42)*y*y**3*y*y\/(y\/(y**(-1\/3)\/y))*y**6*y\/(y\/(y*y**3)*y) assuming y is positive.\nAnswer: y**(-42722\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-6 + -10 - 7) + 14.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: ((-37)\/(-12))\/(2\/4) - 7\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 3827\/4 + -34435\/36. Let b = -35 + 24. What is the fourth smallest value in b, x, -4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-34)\/10 - (-217 + 213). What is the fourth smallest value in -5, -1\/5, 3, 33, n?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -504 - -505. Suppose -w + 4*o - 4 = -6*w, o = l. Solve -3*q + 1 + 5 = w for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 101612?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 6\/(-9)*1*195\/(-26)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let j(b) = -20*b**2. Let w be j(-1). What is the units digit of ((-44)\/(-5))\/(w\/(-50))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(h) = 5*h**2 - 11*h + 19. Let p(k) = k**3 + 9*k**2 + 14*k + 2. Let a be p(-7). Suppose 3*x + 62 = 5*g, -a*g + 0*g + 4*x + 36 = 0. Is f(g) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(m) = m**2 - 6*m + 3. Let z be l(6). Let k be -1 + 6\/4*6. Let y be 2 + -2*(-12)\/k. Which is the nearest to z? (a) 1\/8 (b) -3 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2400.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*-1*sqrt(88))\/(sqrt(72) + (sqrt(72) - (-1*sqrt(72) - sqrt(72)))).\nAnswer: sqrt(11)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 34747575 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 8 - ((-6 - -2) + 9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is next in 957, 1803, 2625, 3411, 4149?\nAnswer: 4827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -59*m + 1964528 = 1963525 for m.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let z(x) be the third derivative of 9*x**8\/28 - x**6\/40 - 3*x**5\/10 + x**3\/3 - 8*x**2 + 9. Find the third derivative of z(k) wrt k.\nAnswer: 6480*k**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-12 - -32) + -24 - 4?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r(x) be the first derivative of 0*x + 5\/3*x**3 + 8 + 0*x**2. Let w(s) = -4*s**2. Give w(r(m)).\nAnswer: -100*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*w + 28 = -92. Let d be (2\/(-3))\/(4\/w). Suppose -5*t - 4*b = -19, d*b = 3*t + 2*b - 29. List the prime factors of t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 1291 - 1289. Which is the nearest to 3\/14? (a) n (b) -0.4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 13183?\nAnswer: 13183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let p = -14586 + 14581. Suppose -g - 3*g = t - 21, -g - 2*t = 0. Let r = -4 + g. Which is the smallest value? (a) p (b) r (c) 2\/49\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 67\/4, 1, 2 in increasing order.\nAnswer: 1, 2, 67\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let a = -7 + 16. Let b be a\/(3080322\/731608) - (-2)\/(-1). Let r = b + 2\/5901. Which is bigger: 1 or r?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -825 - -828. Solve 0 = 3*p - 2*t - 22 + 8, i*t - 9 = -3*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -106 + (135 - (46 - 15)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand w + 0*w + 2*w + (-2 + 3 - 2)*(0 + 0 - 3*w) - 3*w - 2*w + 4*w + 6*w - 3*w - 4*w + (3 - 1 - 3)*(-2*w + 0*w + 4*w) - 4*w - 3*w + 5*w - w - 1 + 1.\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand (-533 - 2*u + 538 + 7*u)*(9*u**3 + 3*u - 3*u + 2).\nAnswer: 45*u**4 + 45*u**3 + 10*u + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1158?\nAnswer: 2, 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 2a4 (base 11) in base 12?\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -h - 2 = 5*z - 3*h, -z + 2 = 2*h. Which is the nearest to z? (a) -3\/2 (b) 3 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -120*q + 1284 + 1720 + 956 for q.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 121112210 + -102?\nAnswer: 121112101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -398210 or -398209?\nAnswer: -398209","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 1419 at least 1435?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify -6*(5 + -3 + (1*sqrt(2000) - sqrt(2000) - sqrt(20)) + 5)**2.\nAnswer: -414 + 168*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 1008372 - -26?\nAnswer: 1008408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 341 minutes before 7:12 AM?\nAnswer: 1:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 3*6\/45 - 16\/60.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Convert 21 (base 4) to base 3.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*r - 2460 = 5*r. Suppose 0 = -37*v - 800 + 1170. Is r\/v - (-5 + 1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: -76*(-483)\/122360*8\/2\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: (2\/(-4))\/((-9)\/2)\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -15015 + -3203514?\nAnswer: -3222533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let d(t) = 20*t**4 - 71*t**3 + 99*t**2 - 65*t + 17. Let q(c) = 61*c**4 - 214*c**3 + 297*c**2 - 196*c + 52. Let h(b) = -7*d(b) + 2*q(b). Factor h(i).\nAnswer: -3*(i - 1)**3*(6*i - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 10*63\/420*8\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -53.2 - -57.11. Let r = h - -0.09. Suppose 3*k - 3 + 13 = 2*y, -19 = -y + 5*k. Which is the nearest to 1? (a) 2 (b) r (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be 1 - (2 + 0 - 0). Let m(q) = -3*q. Let t be m(u). Let w be 18\/t*14\/21. Solve 2*b + w = 2 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 4521 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.4208585l to millilitres.\nAnswer: 420.8585","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 709*x + 418*x + 894*x = 40420 for x.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let d(a) be the third derivative of a**8\/168 - a**6\/15 + a**5\/15 + a**4\/4 - 2*a**3\/3 - 6*a**2. Solve d(s) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-5*v**2 - v**2 + 5*v**2)*((0*v - 4*v + 2*v)*(6 - 6 + 2*v) + 3*v**2 - 16*v + 16*v) in the form c + u*v**3 + t*v**2 + q*v**4 + r*v and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let s(r) = r**3 + 17*r**2 - 10*r - 87. Determine s(-17).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/50 of a millimeter in nanometers?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -165572, -165577, -165582, -165587?\n\"Answer: -5*i - 165567","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1920545 is divided by 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(171)*1 + sqrt(171))\/sqrt(9))**2*-4.\nAnswer: -304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(198)*2)\/sqrt(6))\/(sqrt(33)\/sqrt(3)*-6) + (sqrt(300) - (sqrt(300) + (sqrt(300)*-2*3 - sqrt(300))) - (-3 + 2*sqrt(300)))**2.\nAnswer: 899*sqrt(3)\/3 + 7509","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -926, -925, -928, -935, -946, -961, -980?\n\"Answer: -2*i**2 + 7*i - 931","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let i(j) = -j**3 + j**2 - j - 1. Let v(k) = -3*k**3 + 5*k**2 - 2*k + 1. Let s(o) = i(o) - v(o). List the prime factors of s(3).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-3 - 9\/((-18)\/(-10504)))*-2. What is c rounded to the nearest one hundred?\nAnswer: 10500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -217*y + 223*y = 14610. List the prime factors of y.\nAnswer: 5, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 16*y**2 - 10*y**2 + 11*y**4 - 5*y**2 wrt y?\nAnswer: 264*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 128 and 8.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((y*y**(-3\/4)*y*y**(-11))\/(y\/(y\/((y*y**(2\/13))\/y*y)))**(2\/3))**(2\/91) assuming y is positive.\nAnswer: y**(-547\/2366)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is next in -2523796, -5047593, -7571390, -10095187?\nAnswer: -12618984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -359*d + 64*d - 1069*d - 960*d.\nAnswer: -2324*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -27 - -5 - (162\/(-7) + 1)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is ((-362)\/(-4))\/((-20)\/(-40)) a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-3 - (-17)\/5)*-44. Let q = c - -18. Let y be (6\/(-8))\/(6\/4). What is the second biggest value in q, y, 4\/5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -6712, -6678, -6644, -6610, -6576?\n\"Answer: 34*m - 6746","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 78093 or -6?\nAnswer: 78093","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let h = 27 + -25. Let a = -358\/5 + 72. What is the nearest to 1\/3 in a, -0.4, h?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 308579?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -1727*h + 18370*h - 1264868 = 0 for h.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*v - 942 - 543 = 0. Let x = v + 184. What is the highest common divisor of x and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 65936663 to the power of 1\/3, to the nearest integer?\nAnswer: 404","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -16026*u + 32002*u - 15983*u - 3*u**2.\nAnswer: -3*u**2 - 7*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let n(o) = -o**2 + 79*o - 153. Let f be n(77). Let w(t) = -t**2 - 5*t + 8. Let s be w(-6). Solve 0 = -s*x - 9 + f for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6607 + 9155 = 37*f. What are the prime factors of f?\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(n) = 3*n**2 + 3*n - 30. Let c be (-6 - 3) + (-1 - -1). Let m be p(c). Let a = m - 36. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Express ((0*m + m - 2*m)*(3*m**2 - 3*m**2 + m**2) + 16 + 5*m**3 - 16)*(-150 + 38 - 16) as l*m + x*m**2 + i*m**3 + f and give i.\nAnswer: -512","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Put 4, -3, 209, -5, -13 in decreasing order.\nAnswer: 209, 4, -3, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -17812 + -4?\nAnswer: -17816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Express 3*j**3 - 3*j**2 + 5 - 5*j**3 + 2331417*j - 2331461*j as z*j**2 + u*j**3 + b*j + f and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h*h**(2\/25))**34 assuming h is positive.\nAnswer: h**(918\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-5)\/(-70)*-4)\/((169\/1183)\/(3\/(-66))).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 3 + -15 + 6 + -131 + 179?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d be (30\/35)\/(3\/14). Solve -d + 4 = 5*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -14, 176, 554, 1102, 1802, 2636, 3586, 4634?\nAnswer: 5762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let n be 33 + ((-4 - -5) + -7)\/(-2). Suppose -9*j + 11*j = -h + 32, n = h - 2*j. What is the highest common divisor of h and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*q - 4*w = 2, -5*w = -10*w - 10. Suppose s - q = -8. Let p be ((-8)\/s)\/(3\/36). Solve 0 = -3*g - g - p for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 39659 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1 + 218*u - 1 + 212*u - 655*u + 219*u.\nAnswer: -6*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 15577*z + 1081899 + 152010 = 1793*z + 20917 for z.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2 - (-5 + 0 + -2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 88, 154, 220, 286, 352, 418?\n\"Answer: 66*l + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let a(o) be the second derivative of o**3\/3 - 23*o + 3. Let i(h) = 482*h - 482*h + 14*h**2. What is a(i(u))?\nAnswer: 28*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*x + 3*u = 18, -8 = 5*x + 5*u - 3. Let o = x - -2. Let k(l) = 1. Let f(h) = -2*h - 7. Suppose -q + 1 = 7. Calculate o*f(p) + q*k(p).\nAnswer: 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 4, 3\/413, 0.06?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many nanometers are there in five eighths of a micrometer?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y(i) = 2653*i + 2. What is y(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let d(f) be the third derivative of -25*f**8\/84 - 26*f**7\/21 - 7*f**6\/8 + 3*f**5\/2 - 9*f**2. Factor d(b).\nAnswer: -5*b**2*(2*b + 3)**2*(5*b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(p) = p**2 - p - 160. Give h(-13).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand 3*d**3 + 2*d**3 - 7*d**3 - d**3 + 2*d**3 + d**3 + 5*d**3 - 5*d**3 - d**3 + (-1 + 1 - d**2)*(-3*d - 4*d + 5*d).\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 169409.\nAnswer: 169409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 703*y = 494*y + 836 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 - 4 = -2*m, 3*k + 3 = 3*m. Is 3\/((8\/548)\/k) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1 + 2*sqrt(243) + -5 - -1*sqrt(12)*-5*2.\nAnswer: -4 - 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -464882*l - 410928*l + 126502*l.\nAnswer: -749308*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let n(z) = -1. Let k(f) = -38*f**2 - 3. What is k(x) - 6*n(x)?\nAnswer: -38*x**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let r = -4 + 4. Suppose -w = 3*g - 15, r*g + g - 5 = -2*w. Is g a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 51825 is divided by 146?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*p + g + 253, 3*p - 381 = -0*p + 3*g. Calculate the smallest common multiple of p and 18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (2*m + 1 - 1)*(-2*m**3 - 4*m**3 + 4*m**3) - 15*m**4 + 2*m**4 + 90*m**4 in the form k*m**2 + y*m**3 + i + v*m + x*m**4 and give x.\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let p(n) = 15*n**2 + 121*n - 1576. Is p(16) a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1199 or 25202\/21?\nAnswer: 1199","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 265*p = 267*p - 3*s + 3925, 4*s = -p - 1957. Round p to the nearest one hundred.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((m*m**12\/m)\/m)**(9\/2) assuming m is positive.\nAnswer: m**(99\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 1096, 2184, 3272?\n\"Answer: 1088*k + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Are -2668723 and -2668687 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let h(t) = t**2 + 2*t - 8. Let o be h(5). Solve 4*m = 5*b - o, -27 = -4*b + 3*m - 6 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(50) - (sqrt(50) + sqrt(3200) + -1 + sqrt(3200)))**2.\nAnswer: -160*sqrt(2) + 12801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*m + 2*v = 7*v + 15, 2*v + 1 = -m. Let l = m + 97. Is l a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (1 - 11)\/((-6)\/(-510)*-2). Suppose 105 = 5*k - v. Let w = k - 99. Solve w*t - 4*t = 9 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -3 and -190.1?\nAnswer: 570.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -253*b + 6209274046 + 108641954 = 0. Round b to the nearest 1000000.\nAnswer: 25000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -m + 3 = -3*y - 4*m, y + 4 = -2*m for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Factor 729\/7 + 1\/7*o**2 + 54\/7*o.\nAnswer: (o + 27)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) = 2*u**2 - 6*u - 2. Let f(l) be the first derivative of l**3\/3 - 3*l**2 - l + 9. Give 4*f(b) - 3*r(b).\nAnswer: -2*b**2 - 6*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12800 = -10*j - 10*j. Let o = j + 4493\/7. What is the smallest value in -2\/3, 1, o?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(z) be the third derivative of -z**5\/30 - 328*z**2 + 6*z. Let n(w) = w**2 + w. Let h(b) = -42*b**2 + 5*b. Let q(f) = -h(f) + 5*n(f). Determine u(q(t)).\nAnswer: -4418*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let c = 7 + -5. Let w(i) = -i - 2. Let o be w(c). Let h = 4 + o. Solve 0*n - 3*n - 3 = h for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4644137209 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: -0.8080748 * -3\nAnswer: 2.4242244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-5587*x + 5587*x - 77*x**2)*(-3*x + 4*x + x) + 0*x**3 + x**3 + 0*x**3)*(x**2 + x**2 - 28*x**2) - 5*x**5 + x**5 + 3*x**5.\nAnswer: 3977*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 286 minutes before 6:35 AM?\nAnswer: 1:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1 or 829\/1935?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*d = -0*d - 12. Let x be (-4 - -9)\/((-5)\/d). Solve -5*f - 4 = x for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 685 minutes after 7:05 AM?\nAnswer: 6:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let c = -2 - -8. Let o be 5\/2 + (-3)\/c. Find the first derivative of 0*d - o + 0*d + d**2 wrt d.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.01 and 163.\nAnswer: 1.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose v = 5*i - 1117, -3*i - 2*v = -7*i + 896. What are the prime factors of i?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 14400 rounded to the nearest one thousand?\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 424 - 1100?\nAnswer: -676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -1142230 + 300412?\nAnswer: -341313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let o(d) = 3563*d - 111. Is o(8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 434163?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Convert 10 (base 3) to base 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) 0.07 (b) -308 (c) 0.3 (d) 13 (e) -4 (f) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 0.6115532 millennia in months?\nAnswer: 7338.6384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 90 and 630.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 671 bigger than 414?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 21168 a multiple of 252?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let f(r) = 0 - r - 3 + 2. Let c(g) = 1. Let t(s) = -s - 2. Let v be t(-5). Suppose -6 = -3*x - v. What is x*c(u) - f(u)?\nAnswer: u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let o(h) = 2*h**2 + 58*h + 23. What is the remainder when 134 is divided by o(-29)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 - 1 + 2)*(3*c - 5*c + c) - c - 5*c + 4*c + (-2 + 3 + 0)*(2*c + 3*c - 4*c) + 4*c + 4*c - 6*c - 3 + 3 - 2*c + 2*c - c + 0*c.\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 56 and 440?\nAnswer: 3080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0000439551 to six dps.\nAnswer: -0.000044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let w = -75 + 80. Let x(b) = -w*b - 573 + 3*b + 573. Let a(u) = 37*u**2. What is a(x(s))?\nAnswer: 148*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: 0.565384 times -0.3\nAnswer: -0.1696152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 0.13 bigger than -58963?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 316341 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let n = 2.27 - -8.33. Round n to the nearest integer.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -319*o**2 + 172*o**2 + 716 + 1295*o**2 + 484*o**2 + 1125 wrt o.\nAnswer: 3264*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(b) = -b**3 + 2*b**2 + 3*b - 6. Let a be p(2). Suppose h + 15 = -y + 53, a = -3*h - 12. Let r = -21 + 32. What is the remainder when y is divided by r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 133 + -7. Let w = r + -122. Which is smaller: w or 0.24?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: (8 - 15) + 15 + -2\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d(k) = k - 5. Let y(s) = 3*s - 15. Let r(a) = 7*d(a) - 2*y(a). Suppose 3*o = 4*o - 3. Suppose -5*v - z = -23, -o*v - 3 = -4*v - z. What is r(v)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (0 + 0 + q)*(-3649 - 1780*q + 958*q + 824*q) in the form r*q**2 + o + j*q and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let z = -17345 + 17346. Let h(g) = -2 - 4 + 7 + 14*g**2. What is h(z)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 53880.3 rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: 137345 divided by -1\nAnswer: -137345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let a = 25 + -14. Let h = 787 + -743. Calculate the highest common divisor of h and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(w) = w**2 + w - 44. Let u be t(-8). Suppose u*a + 79 = -17. Let i(m) = -m**3 - 9*m**2 - 9*m - 1. What is i(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 60539 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*y = o + 2632, 0 = -3*y + 8*o - 3*o + 3955. Which is smaller: y or 1316?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 120*f = 115*f - 15 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2\/5? (a) 2455 (b) 0.2 (c) 4\/21 (d) -4 (e) -135 (f) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1 - 1 - 1520*s**3.\nAnswer: -1520*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let v(p) be the first derivative of 3*p**4 - 20*p**3\/3 - 8*p**2 + 16*p + 110. Factor v(y).\nAnswer: 4*(y - 2)*(y + 1)*(3*y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1 equal to 6\/113?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let i = 186.02636 + -0.02636. What is the nearest to 12 in -0.3, 2\/11, i?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 59\/3027 and -35\/9.\nAnswer: 9081","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Does 94 divide 1046502?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let a(i) = -i**3 - 11*i**2 + 13*i + 12. Let b be a(-12). Let l be (3 + -2)*-37 - b. Let c = l - -44. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -7946569 by 345503.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 208531 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -62, -76, -100, -134, -178, -232, -296?\nAnswer: -370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate 5103*0.028.\nAnswer: 142.884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: -65466 + -9592622\nAnswer: -9658088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -292699*k**2 - 243642*k.\nAnswer: -585398","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {r: 2, y: 2, k: 3, f: 4, w: 2, t: 3}. What is prob of sequence ykf?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Does 2660 divide 119094338?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*k - k - 21. Solve -y + j + 13 = -j, -5*y + k = j for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 8220712?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 673792477 to the power of 1\/3, to the nearest integer?\nAnswer: 877","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let u(q) be the first derivative of -q**3 + 4. Let j(o) = -o**2. Determine u(j(h)).\nAnswer: -3*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let b(i) = -2*i - 23. Calculate b(-8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let k = 26 + -8. What is the lowest common multiple of k and 650?\nAnswer: 5850","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2182?\nAnswer: 2, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Factor -8*s**2 - 974452*s - 1461660.\nAnswer: -4*(s + 121805)*(2*s + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 6495068 a multiple of 157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.0269 in 1\/4, 3, -1\/3, 11\/4, 3\/7, -0.3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Total of 2 and 4490.\nAnswer: 4492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let t = 129 + -328. Let q = 840 + t. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}