diff --git "a/data/dm_maths/full_data_1/10010_11255.jsonl" "b/data/dm_maths/full_data_1/10010_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/10010_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let p = 13 - 6. Suppose p + 8 = 5*r. Solve -2*n + 30 = 4*f, n = -3*n - r*f + 35 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**2. Let q(c) = 147*c - 2. Determine q(d(t)).\nAnswer: 147*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 139844032 and 174?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/63? (a) -103 (b) 1\/3 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.8, -8, -4\/15 in decreasing order.\nAnswer: -4\/15, -1.8, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 27*j - 4 + 0*j**3 + 13*j**4 - 66*j + 2*j**3 - 5*j**3 wrt j?\nAnswer: 156*j**2 - 18*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -13*y - 27. Let u be s(-2). Let n(i) = 3*i**2 + 2*i. Let j(d) = d**2 - 1. What is u*n(h) + 2*j(h)?\nAnswer: -h**2 - 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -763*i**3 - 4*i**2 - 240*i + 5. Let x(k) = -763*k**3 - 5*k**2 - 239*k + 6. Let w(j) = -6*c(j) + 5*x(j). What is the third derivative of w(z) wrt z?\nAnswer: 4578","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 878*o = 880*o - 33346. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 505?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-three thirds of a hour in minutes?\nAnswer: 1660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 141079?\nAnswer: 141079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the third derivative of 17\/24*k**4 + 17*k**2 + 0 + 5\/3*k**3 + 0*k. Differentiate p(h) wrt h.\nAnswer: 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.03, -57\/2, -3, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (5 - 5) - -4\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 4*a - 27793, 2*c - 111092 = -2*c + 4*a. Let o(n) = 25*n**3 + 12*n**2 - 10*n - 11. Let x be o(8). Let f = c - x. Round f to the nearest 1000.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19806*r - 1638 = 19988*r for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + q + n + 8 = 0, n + 10 = 3*q. Suppose -12 + 0 = -q*f. Let u = f - 3. Solve -u*b = -0*o + 2*o - 7, b - 5 = -2*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(2057) + 2)*6)**2 - ((-4 + sqrt(2057))**2*2 + 4).\nAnswer: -78346 - 1408*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -32, -51, -60, -59, -48?\n\"Answer: 5*r**2 - 34*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in seven halves of a millennium?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 - 5 - -2) + 13. Suppose 16*r - i*r - 70 = 0. What is the least common multiple of 46 and r?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*939092\nAnswer: 469546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 31\/(-4) + (-1 - 27\/(-36)). Let h(u) = 3*u**2 - 22*u + 21. Does 6 divide h(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o**3\/7 + 17884*o**2\/7 + 35880*o\/7 - 61344 = 0. What is o?\nAnswer: -6, 4, 4473","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2962 + -59227\/20. Let z = 179\/260 - u. Is -1 bigger than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2 - 3*v + 4. Let r be u(-4). Suppose p + r*p - 4*d = 26, -p + d + 23 = 0. Suppose -5*y + 55 = -55. What is the lowest common multiple of y and p?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 37 divided by 12\nAnswer: 37\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 5*y. Let f be v(1). Let a = f - 3. Let b = 14 + -14.5. What is the third smallest value in b, a, 2\/5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*s - 22 = 13*s. Let z be 2*(180\/99 - 4\/s). Is 17\/(-68) + 117\/z a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 679580078 a multiple of 6285?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9232053?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 8 (c) -24.9 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.0533 + 2.9467. What is the biggest value in 2, g, 0.11?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1.55 (b) -0.077543 (c) 3\/2 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 3*u = 1, 0 = v - u + 1. What is the smallest value in -3, v, -0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 107141 (base 9) to base 8\nAnswer: 175416","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 AM and 11:45 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2321594418 = -94*u + 23780854418. Round u to the nearest 1000000.\nAnswer: 228000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2762119\/107 - -25814. What is the common denominator of (3\/(-6))\/(693\/2646) and l?\nAnswer: 1177","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9848745 decades in years?\nAnswer: 9.848745","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -53 + -1?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4128 and 156?\nAnswer: 53664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 102512, -25, 0.3, 1?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -249409, -249474, -249539, -249604, -249669?\n\"Answer: -65*z - 249344","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-52)\/(-1638)*-9 + 0 + (-12735)\/(-105)?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wn when two letters picked without replacement from {n: 2, g: 2, w: 2, m: 1, z: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7054336*h**4\/5 + 42320704*h**3\/5 + 63457153*h**2\/5 - 47802*h\/5 + 9\/5.\nAnswer: (h + 3)**2*(2656*h - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.0894 - -368.9106. Let h = 369.000001183 - o. What is h rounded to 7 decimal places?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(171) - (2*(sqrt(171) - (4 + sqrt(171))) + sqrt(171)) - sqrt(171))**2.\nAnswer: -48*sqrt(19) + 239","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 13*u - 12. Let d be g(-9). Let n = -92 - d. Let t(z) = z**2 + 2*z + 5. Calculate the remainder when n is divided by t(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of -5*t**3\/6 + 2*t. Let c be n(-1). Solve 3*y - 7 = -3*u + u, -5*y - 2*u = -c for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 5276, 7984, 10698, 13418, 16144, 18876?\n\"Answer: 3*s**2 + 2699*s + 2574","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13608*h*z - 6*h - 32*z - 134826 with respect to z.\nAnswer: 13608*h - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.8 plus -20868?\nAnswer: -20874.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13061?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 3*i = 0, 9*i - 20 = 3*k - 0*k + 7*i for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -132 - -c9d?\nAnswer: b6b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -100111100011001 (base 2) in base 12?\nAnswer: -b875","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 + 4*r - 1. Let z be x(-4). Let a = 5 - z. Suppose 2*d = -3*k, 0 = -3*k - 4*d - 0 - a. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2002\/3 (b) 5 (c) 0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - (-2 - -13) - -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 6*g - 4 = 0. What is the remainder when 7 is divided by g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (26\/39)\/((-2)\/(-3))*-2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -1, 631, 3\/5, -2\/539, 2?\nAnswer: -2\/539","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5243 a multiple of 107?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -403*n + 335*n + 272. Solve n*j - 5*v + 6 = 0, 261*j + v = 258*j + 5 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 18 - 47 + 4*b.\nAnswer: 4*b - 72","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -146 - 44 = -a. Let r = a + -105. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 105971491 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 + n**2 + 2. Let q be g(0). Suppose 4*b - 4 = 2*a - 0, 0 = -3*b + q*a + 3. Is 8 a factor of 21*-1*(b - 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -141.35 - -3.35. Let q = l + 138.2. Which is the nearest to -1\/6? (a) 3\/2 (b) q (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -2*c**2. Let o(m) = -54031 - 80*m + 54031. What is o(v(p))?\nAnswer: 160*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1b84050 - 2?\nAnswer: 1b8404c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(h*h**(-4)))\/h*h)**(-3\/2))**(-1\/74)*(h**(-4)*h**(-8))\/(h**(2\/7)\/h*(h**6*h)\/h) assuming h is positive.\nAnswer: h**(-4456\/259)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/258 and 163\/10668?\nAnswer: 458724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the second derivative of a**5\/20 + 5*a**4\/6 - 2*a**3\/3 - 6*a**2 - 21*a. What is the tens digit of o(-9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 75*j**2*z - 21*j**2 - 2*j + 304*z - 5589 wrt z?\nAnswer: 75*j**2 + 304","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the third derivative of 19*o**6\/3 + 77*o**4\/6 + 41*o**2 + 4*o. Find the second derivative of t(p) wrt p.\nAnswer: 4560*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 96 + -60. Suppose -r*g + 31*g = -1625. What is the hundreds digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the second derivative of -n**2 + 0 + 3*n - 11\/3*n**3. Is 5 a factor of h(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 107580.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the third derivative of l**6\/960 + 3*l**5\/160 + 9*l**4\/64 + 9*l**3\/16 - 15*l**2. Determine z so that k(z) = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19*2\/57*42\/4.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3 - (-3 - -3))\/3. Suppose 16 - q = 5*m. Let h be ((-6)\/4)\/((-2)\/20). Solve 3*x - 2*i - h = 0, -x = m*x - 2*i - 20 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4629050954?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10648283 and 41075?\nAnswer: 1643","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of -5\/2*j**2 - 8*j - 3. Calculate the remainder when 50 is divided by l(-5).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 - 14*u**2 - 15*u - 19. Let g be k(15). Let f = 23 + g. Solve -4*p = f*o - 12, 4*p + 0*p - 3*o = -9 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 840 and 7482495?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 11:38 AM?\nAnswer: 10:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.4 (b) 1 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 + f)*(-8*f - 3*f - 9*f) to the form z*f + w + m*f**2 and give m.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes after 5:26 AM?\nAnswer: 11:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.19 (b) 4 (c) -27 (d) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 84.34 + -84.33045. Round q to 2 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - y + 0 + 1)*(12*y + 25 - 25)*(-3*y - 3*y + 8*y) as n + m*y**3 + x*y**2 + q*y and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 28\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a millimeter in micrometers?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -634768 divided by 8?\nAnswer: -79346","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 102802972 divided by 327398?\nAnswer: 314","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000595126 rounded to five decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z + 17. Let q(n) = -4*n + 18. Let m(f) = 3*q(f) - 4*y(f). Determine m(-5).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ztti when four letters picked without replacement from iiittibiiiziibiitii.\nAnswer: 13\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 73 and 97.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -180.866889 - -203.8668848. Let s = g + -23. What is s rounded to 6 dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the first derivative of t**6\/105 - t**4\/21 + t**2\/7 + 28*t - 111. Let y(u) be the first derivative of b(u). Factor y(v).\nAnswer: 2*(v - 1)**2*(v + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 6.13, 2\/3, 11, -2\/5, -2.\nAnswer: -2, -2\/5, 0.3, 2\/3, 6.13, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, 0.3, 0.18 in descending order.\nAnswer: 0.3, 0.18, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21170 to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of -m**4\/4 + 7*m**3\/3 - m**2\/2 + 6*m - 71. Give t(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 144 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2173494?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -250223\/185526 - -2\/8433. Calculate the common denominator of ((-384)\/(-18))\/(-2 + 0) and y.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 74184543 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 100 = -3*i. Let q = -297 - -346. Let w = i + q. What is the least common multiple of 14 and w?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 10\/7, -72.7, 7, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (602*j**3 - 2562 + 2562)*(-2 + 5 - 4)*(-5*j + 5*j + 2*j) to the form n*j**3 + m*j**2 + g*j + a*j**4 + w and give a.\nAnswer: -1204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.21912569 to 3 dps.\nAnswer: 8.219","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/12? (a) 0 (b) -245 (c) -5 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 s when two letters picked without replacement from tcccmstmttm.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -146 + -1 - ((16 - 8) + -22)?\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2235.5 + 16.6?\nAnswer: -2218.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 2*s**2 - 193*s + 3093. Give h(76).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0*r + 3*r - 5*r)*(-589*r + 265*r + 61*r).\nAnswer: 526*r**2 - 526*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 524640807?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/130)\/(11\/110*4)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2047898066 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 4*v + 10. Let h be y(-3). Which is greater: -10\/19 or h?\nAnswer: -10\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a**0)**(-8\/13)\/(a**(-2\/3))**(13\/4) assuming a is positive.\nAnswer: a**(73\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -413*q**2 + 3*q + 308. Let y be t(-17). What is y rounded to the nearest 10000?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7926614?\nAnswer: 2, 139, 28513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -918 times -15.66\nAnswer: 14375.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9 and 66099576?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 170 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 199, 288, 377?\n\"Answer: 89*r + 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 33 - 28. Let d = -5 + 26\/5. What is the second smallest value in 2\/11, d, a?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(-5) - 1\/1. Let p = -3 + 2.8. Let k = -3.2 - p. Sort k, c, -4 in decreasing order.\nAnswer: c, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 6:22 PM?\nAnswer: 10:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in ninety-one halves of a year?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -125 + 124.21. Let c = 0.8 + q. Let f = -0.09 - c. What is f rounded to two decimal places?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*z**3 - 240*z + 13*z**4 + 238*z - 12*z**4 + 2 to the form j*z + u*z**2 + a + i*z**3 + l*z**4 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 62? (a) 1 (b) -2 (c) -22\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -58 - -42. Let m be (-8)\/c - (234\/(-4))\/(-1). Let v = 181 + m. What is the remainder when v is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + -1008?\nAnswer: -1008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1922, -5\/138 in decreasing order.\nAnswer: 2, -5\/138, -1922","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -3*n**2. Let q(x) = -370*x - 31. Give q(h(b)).\nAnswer: 1110*b**2 - 31","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 4*m**5 + 12*m**3 - 4990995 - 16*m**4 + 4990995 = 0?\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*w + 3*w + w + (-27 - 14*w + 27)*(0 + 7 - 2) to b + j*w and give j.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 - -157?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the third derivative of -4*i**2 + 0*i + 1\/4*i**4 - 1\/6*i**3 + 0. Let s be u(1). Solve -12 = -3*v + 3*g, 2*v - s*g = 3*v + 2 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 592 is divided by 282?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -11 - 94500\nAnswer: -94511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**2 + 16*f + 5. Let c be b(-11). What are the prime factors of (-42)\/(-525) + (-27346)\/c?\nAnswer: 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 + 2)*(-1 + 1 - 2*j)*(-2 + 7 - 2)*(-j**3 + 5*j**3 - 3*j**3 - 3*j**3 + 7*j**3 + 0*j**3 + (-2*j**3 + 3*j**3 - 2*j**3)*(-3 + 5 - 1)).\nAnswer: -96*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18106.4 or -0.3?\nAnswer: -18106.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = -5*g + 1669 - 1664, 2*g - 35 = 5*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -201 = 8*p - 209. Sort -1103, -5, p in descending order.\nAnswer: p, -5, -1103","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1315 + 1318. Let s(p) = 2*p. Calculate s(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-4\/5)*w**(-3\/10))\/(((w*w**6*w)\/w)\/(w**(3\/7)*w))*w**(-1\/7)*w\/w**(1\/14)*(w*w**(-3)\/w)\/(w\/w**(-2\/27)) assuming w is positive.\nAnswer: w**(-8467\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 3*d - 8. Let y be l(5). Suppose 3*n + y = 175. What is the units digit of n\/2*((-165)\/(-20) - 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2540.3 and 14371.\nAnswer: 11830.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (((-4)\/(-40))\/(105\/25))\/(678\/1582)\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -1.5, -10, 2?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27974, -55957, -83940?\nAnswer: -111923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 145191 and 411 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum -728071465457315 and -4.\nAnswer: -728071465457319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -140, -280, -418, -554, -688, -820, -950?\n\"Answer: g**2 - 143*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4836 and 30132.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**2 + 11*x + 21. Give c(12).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**2 - 4*s - 5. Let u(z) = -4*z**2 + 17*z + 21. Let n(k) = 9*p(k) + 2*u(k). Let d be n(3). Suppose d = 3*v + 2 - 8. Is 2 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -63.416 to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 0 - (-3 - -6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 33 - 24. Suppose 6*t + 9564 = i*t. Suppose 3*v - 8729 = -t. 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 520 and 1595932?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2 - 3*k + 2. Let l be t(2). Let n = -704 + 7750\/11. Is l >= n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 68 - 5. Let g(k) = -k**3 + 5*k**2 + 8*k - 5. Let d be g(6). Calculate the highest common divisor of d and o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -9a5c - 2?\nAnswer: -9a61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18012340 and 296.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -17605 - -5?\nAnswer: -17600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.6 - 0.4. Let h = 1109.8 - 1110. Suppose 0*q - 2*q = 4. Which is the closest to h? (a) -0.1 (b) i (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -18, 0.8, 1?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -3*l**3 + 7*l**2 - 39*l - 88. Give k(-2).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 944 is divided by 87?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = f - d, -23 - 7 = 5*f + 5*d for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -324976 divided by 1\nAnswer: -324976","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/322 and (-32)\/(-14) - (-124)\/496.\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/18 - 5\/(-135)*87. Suppose -3*z + 12 = 3*n, -3*z - n + k*n = -17. Suppose 18*j = 19*j - z. What is the highest common factor of 5 and j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1203 + -1206. Suppose 5*n - 14 = 11. Put t, 3, n in descending order.\nAnswer: n, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -0.5, -3169\/10 in descending order.\nAnswer: 2, -0.5, -3169\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 89641 and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -0.5, 7363 in descending order.\nAnswer: 7363, -0.2, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 397e - 13d?\nAnswer: 3841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 2 = 2. Let c(b) = b**2 + 2*b + 2. Let g be c(-2). Let a = 3 - g. Solve a = -3*m - o for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lc when two letters picked without replacement from {i: 1, a: 1, k: 1, c: 1, l: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23 + 23.15. Let t = w - -0.05. Is t greater than 2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = u - 78 - 579, 637 = 2*o - 3*u. Suppose o = -k + 1728. Suppose -652 = -2*i + k. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 != -1170\/69373?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*u**4 + 2*u**3 - 12*u + 10*u**4 - 3*u**4 - 170 + 12*u as w*u**2 + p*u**3 + y*u + a*u**4 + l and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(65) - ((sqrt(65) + -1*sqrt(65))*4 + sqrt(65)))\/(1*sqrt(405)) + -1)*-4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 39d (base 16) in base 11?\nAnswer: 771","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-2)\/(-17) + (-5560)\/(-136) is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 2*p + 94 = 0, 5*m + 0*p = p + 103. What is the greatest common divisor of 160 and m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3328.8 to the nearest 100.\nAnswer: -3300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 + 3*m**2 + 1. Let o be c(-3). Let p = o - -1. Suppose p*x - 2 = 6. Solve 2*n = -0*n + x for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.102375 to 2 decimal places.\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(65)*-5)\/(sqrt(80)*5).\nAnswer: 3*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (7 + -4)\/(1\/12). Suppose 3*n + 24 = 3*k, n - y = -2*k - 2*n. What is the remainder when 88\/6*(-3 + 4)*3 is divided by k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30119700 rounded to the nearest one hundred thousand?\nAnswer: -30100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 g when three letters picked without replacement from lgllggl?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 - 14. Let n(p) be the second derivative of p**3\/6 - p**2\/2 - 18*p. What is n(v)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.130765958 to three decimal places.\nAnswer: -0.131","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + ((-6)\/10 - 42\/30)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t - 3*t + 26 - 4*t. Let r = -35 - -107. Suppose 33 = 2*k + q, 2*q - 26 + r = 3*k. Let m(h) = h - 5. Determine k*m(y) + 3*i(y).\nAnswer: -2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -46.1644245 rounded to zero decimal places?\nAnswer: -46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**2 + 12*q - 2. Let b(p) = -2*p**2 + 25*p - 4. Let g(f) = -6*b(f) + 13*w(f). Is g(4) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2927548?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -65*y - 2118. Give o(-25).\nAnswer: -493","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) -3\/5 (c) -1\/4 (d) 1\/9 (e) -0.472\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r**2 - 53*r**3 + 56*r**3 - r**2.\nAnswer: 3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -14460 rounded to the nearest one hundred?\nAnswer: -14500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 9 - (3 - 1) - 2. What is the second smallest value in x, 0.2, 17?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (0 - -18)) + (-946 - -983)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 12:01 AM?\nAnswer: 12:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -4*r**2. Let p(a) = 12*a**2 + a - 339213. Determine p(d(u)).\nAnswer: 192*u**4 - 4*u**2 - 339213","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/194? (a) -42 (b) 3\/8 (c) -5 (d) -3 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-45)\/6)\/((-121)\/(-726))\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 16*z**2 - 388*z + 3528. Determine f(16).\nAnswer: 1416","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1121 - -1120. Which is the nearest to 13? (a) -5 (b) 2 (c) 1 (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -559, -552, -543, -532, -519?\n\"Answer: s**2 + 4*s - 564","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 - 9*u**2 - 94*u + 769. Let j be s(7). Solve -27*q = j*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + -1. Let x(k) = u*k**3 - 8*k**3 + 2*k + 0*k - k. What is x(1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87 = 4*q - 153. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: bb3c4 (base 15) to base 5\nAnswer: 123013414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 3*k - 14. Suppose 10 = 5*y - 4*r, 4 = -y + k*y - 2*r. Let c be (y\/(-284))\/(-2 + 81\/36). Which is smaller: -1 or c?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 r, and 2 e when four letters picked without replacement from jnrnjnrnrwee?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.02295 and 13976751.\nAnswer: 13976750.97705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wvu when three letters picked without replacement from {n: 1, v: 2, w: 2, u: 2, g: 1, d: 1}.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/(-105) + (1 - (-384)\/180)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -64, 1\/2, -48, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - j = 9, -b + 7 = -0*b - j. Let y = -1 - b. Let d = 3 - -2. Sort d, y, 0.3.\nAnswer: y, 0.3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 + -3. Let k = -0.03 + -4.57. Let i = k - -4.7. Is b equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ilss when four letters picked without replacement from {r: 5, l: 1, i: 4, s: 3, t: 1}.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.826 from -8.\nAnswer: -9.826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12916305?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**0\/v)\/v*v*v**3)**(-3\/50) assuming v is positive.\nAnswer: v**(-3\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(8\/4) + 19. Calculate the highest common divisor of i and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 9, 3\/4, 252, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (-2 + 16\/12)\/((-27)\/162) + 12427?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3738 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*4305.\nAnswer: 8610","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 2*d. Let t(w) = -w + 13. Let o be t(17). Let j(a) = -7*a - 4. Let y(m) = 1. Let q(n) = o*y(n) - j(n). Determine q(u(r)).\nAnswer: 14*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2. Let q(n) = -8*n**3 + n + 1. Let a be q(-1). Let h(p) = -a*p - 6*p + 6*p. Determine h(i(o)).\nAnswer: -8*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fii when three letters picked without replacement from sssfsisssiffsffs.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_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 q(o) = -o**2 - 2*o + 22. Let g be q(0). Suppose -2*z + 2*c + 2*c + 44 = 0, 0 = -2*z + 2*c + 44. Calculate the greatest common factor of z and g.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 746.6 - -0.5\nAnswer: 747.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16615*t = -16664*t + 882 for t.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -159*z + 142*z**2 + 742 - 741 - z**3 - 136*z**2 as j*z + h*z**3 + c + b*z**2 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -18*g + 1. Let q(l) = -34*l + 2. Let a(c) = -5*j(c) + 2*q(c). Determine a(1).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23465611, -46931209, -70396807, -93862405, -117328003, -140793601?\nAnswer: -164259199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33\/4 - 19\/4*f - 1\/4*f**3 + 13\/4*f**2 = 0. Calculate f.\nAnswer: -1, 3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0046429 to 4 dps.\nAnswer: -0.0046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -8) + 1 + 780 + -778\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53383*u + 60842*u = 790654 for u.\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 3:07 AM?\nAnswer: 3:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the first derivative of -229*b**2 - 369*b - 385. Differentiate r(i) wrt i.\nAnswer: -458","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/8)\/((308\/(-16))\/(-11)).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -2\/1352115727?\nAnswer: -2\/1352115727","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(((y*y**(-1\/11))\/y)\/y*y)*y**(1\/17) assuming y is positive.\nAnswer: y**(215\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10.91 + 0.09. Let t = 11.3 - u. Suppose -3*h + 0*h = 6. Which is the nearest to 1? (a) t (b) 1 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -574.9 + 575. Which is the closest to 1? (a) w (b) -2\/31 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.999538 millilitres in litres?\nAnswer: 0.000999538","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 432 and 486?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -20343302\/3 <= -6781102?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-45)\/18*10\/(-25) - -392?\nAnswer: 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -6499, -6491, -6479, -6463?\n\"Answer: 2*z**2 + 2*z - 6503","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = -15 + 23 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhyhghgth. Give prob of sequence ht.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.469, -0.1, -0.3143?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -2*c**5\/9 - 6*c**4 + 70*c**3\/3 + 934*c**2\/9 + 344*c\/3 + 40 = 0.\nAnswer: -30, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 79545499519 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 + 0 = -9*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-7 - (-473)\/(-44)) + 17. What is the second biggest value in n, -2\/21, 2\/5, -10?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -100 (b) -4 (c) 4971\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q - 20 = -q. Suppose 0 = 4*d - 5*v - 34954, 5*d - 40358 = -q*v + 3351. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 3*i**2 + 8*i + 4. Let s(r) = 5*r**2 + 15*r + 9. Suppose 0*g = 4*g - 28. Let v(t) = g*l(t) - 4*s(t). Give v(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + 3*n + 22, -3*n + 0*n - 6 = 0. Suppose b - 12 = -g + d*g, 5*g + 50 = 5*b. Is b less than or equal to 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28 - 36 - 2*x - 134.\nAnswer: -2*x - 198","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 40399365?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 - -4. Let z = f + 7. Suppose z*r = 16 + 2. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 1)*(9 + 5*t**2 - 9).\nAnswer: 5*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 556*-0.3.\nAnswer: -166.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 + 7*l**2 + 19*l - 18. What is s(9)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + 2. Suppose -n - 19 = l*v - 5, -v + 2 = 3*n. Does v = -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 684 (b) -3 (c) 2\/7 (d) 0.5 (e) -2 (f) 132\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 30017 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -54*a + 60*a. What is the tens digit of a\/(-10) - 22*63\/(-15)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*o = -h + 331, -176*o + 173*o = 5*h - 138 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 + -20. Is -7 != c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + -11. Let o = 8 - n. What is the remainder when o is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**3\/5 - 58*h**2\/5 + 72*h - 504\/5.\nAnswer: 2*(h - 21)*(h - 6)*(h - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {u: 8, g: 2, v: 8}.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of j**7\/280 - j**6\/180 + 2*j**3\/3 - 2. Let k(t) be the third derivative of r(t). Find the third derivative of k(o) wrt o.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + -2.6. Let t = l + -0.5. What is the third biggest value in t, 5, 4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -208*w**2 - 21 + 413*w**2 + 10 + 11 - 201*w**2.\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8942 and 6?\nAnswer: 26826","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -137\/18 and -23\/378.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6 + 54*c + 11 - 55*c + (0*c - 3*c + c)*(-1 + 0 + 3).\nAnswer: -5*c + 17","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10577.\nAnswer: 7, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 92 + -100 + 56 + -1.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40207?\nAnswer: 31, 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19 - -47. Let q(c) = -371*c + 370. Let w be q(1). What is the nearest to w in -2\/15, 0.3, b?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 87450645 to the nearest integer?\nAnswer: 444","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 34609.36636 to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.05, 2\/9, -1\/3, -1, -36?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Is 160501057 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*t**2 + 3*t**2 - t**2)*(11 + 13 - 19) - 2440*t**2 + 1224*t**2 + 1220*t**2 + 22 as f + c*t**2 + x*t and give c.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of 3*m**5\/4 + m**4\/4 - m**3\/3 + m**2 - 7*m. Is h(2) a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30 + (-14 - (-30 - -47 - (12 + 3)))\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 168791106 to the power of 1\/2, to the nearest integer?\nAnswer: 12992","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 22 = -v, 5*g - v - 70 = -12. Let k = 81 + -21. Calculate the highest common factor of g and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o - 10. Let r be l(6). Let v(i) = -3*i**2 - 16*i - 16. Let s be v(r). Which is the second biggest value? (a) 5 (b) 3 (c) s (d) 5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -241*0.193989\nAnswer: -46.751349","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.98 - -2. Let w = f + -1.22. Let u = w - -1.19999982. What is u rounded to seven decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 113.9 to the nearest integer.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(156) + 2*sqrt(156) + sqrt(156) + sqrt(156))\/sqrt(3))\/(sqrt(4)*2*-4))**2 + 5 + ((-4 + sqrt(325))*4)**2.\nAnswer: -640*sqrt(13) + 349829\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (159\/2)\/((-221)\/26 - -10). Let s = 1 + -1. Solve 7*y - 18 + p = s for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19600776 divided by -40248.\nAnswer: -487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 424 divided by 4.\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 75315?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 + 6*s**2 + 7*s - 8. Suppose 19*n = 17*n + 14. What is t(n)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 709564 divided by 177391?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -2*f**2 - 16*f - 40. Calculate w(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 29 = -m, 4*m = 9*m + 10. What is the highest common factor of 657 and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 21*g - 1. Let i be h(1). Let x be 10 + -6 + (-121122)\/i. Let k = 6045 + x. Calculate the common denominator of 46\/9 and k.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22592 is divided by 2590?\nAnswer: 1872","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 9095393 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*w + 27*w + 1300 = 0. Let i = w + -320. Put i, 20, 3 in descending order.\nAnswer: 20, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -93 - -20e?\nAnswer: 16b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the first derivative of 894*a**5\/5 - a**4\/4 + a**3\/3 - 774*a - 3064. Find the third derivative of l(o) wrt o.\nAnswer: 21456*o - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11674*l = 10949*l - 84825 for l.\nAnswer: -117","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from szs. What is prob of picking 2 s?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6\/(-9))\/((-3)\/90). Suppose 3*v + 2*p = -2*v + 50, -2*v - 3*p + a = 0. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - 6. Let w be ((-12)\/9)\/(3\/18). Let g = n - w. What is the highest common factor of g and 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27963876?\nAnswer: 2, 3, 59, 127, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 165*t + 125. Suppose -312*u + 308*u + 28 = 0. Is o(u) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 9 + 5 = 0. Suppose 4*t - 20 = y*v, 40 = 4*v - 12*v. Solve 3\/4*k**2 - 12*k**5 + t + 6*k**4 + 0*k + 21\/4*k**3 = 0.\nAnswer: -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 340127\/296880 - -1\/6185. Let n be 75\/(-83)*16\/(-10). Let f = n + -3607\/830. What is the common denominator of r and f?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of r**3\/6 + r - 237. Let o(b) = -25*b - 12*b - 2*b. Give k(o(i)).\nAnswer: -39*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of -x**4\/2 + x**3\/3 - x**2\/2 - 2*x + 16. Let o be w(-1). Suppose -r = o*r - 210. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the second derivative of -t**7\/21 - 4*t**6\/15 - t**5\/2 - t**4\/3 + 18*t. Factor u(c).\nAnswer: -2*c**2*(c + 1)**2*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33 divided by 981758.\nAnswer: -33\/981758","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -21*k + 59. Let y be j(3). Suppose 5*n = 2*s, 2*s + 0*s - 14 = -2*n. Put y, 4, 5, n in decreasing order.\nAnswer: 5, 4, n, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2366698 is divided by 112691.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/14 + -4*3447\/(-28). Calculate the highest common factor of x and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 8 + (-11 - -5) + 1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + o)*((5 - 1 - 3)*(-5*o + 5*o + o) + 5*o - 2*o - 2*o - 41*o + 651 - 651).\nAnswer: -39*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -24940 + 32.47375?\nAnswer: -24907.52625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 193393814?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 122 = 42. Let c = 42 - v. Solve -4*r - c = 11 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/265574 and -7\/856?\nAnswer: 1062296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a day in minutes?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f + 10. Let h be g(-6). Suppose -5*v - 5*d = 0, -d + h = -v + 6*v. Let l be -3 - (-106 - (-2 + v)). What is the greatest common divisor of 34 and l?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the third derivative of 0*r + 0 + 1\/30*r**5 - 2*r**2 + 0*r**4 - 1\/3*r**3. What are the prime factors of c(-2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -5*y**2. Let p(n) = 4*n. Let g(f) = -5*f. Let x(d) = 3*g(d) + 4*p(d). Let a be x(0). Let t(c) = c + 11 + a - 11. Give t(j(z)).\nAnswer: -5*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 5*x + 15 = -7, 6 = d - 2*x. Let r be 12\/14 + (d - -1). Which is the smallest value? (a) r (b) 3\/7 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2809, 2748, 2679, 2596, 2493, 2364, 2203, 2004?\n\"Answer: -k**3 + 2*k**2 - 60*k + 2868","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 PM and 3:06 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -49 + 52. Suppose -7 = -0*n - 4*n + 3*p, 2*p - 2 = -4*n. Is n <= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 0 - (19525\/1155 - 8\/(-84)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23\/(-1 + 12\/9) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 - 5*a**2 - a - 5. Let k be f(-5). Suppose 2*i + k = 6. Suppose -i*s + 33 = -18. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 11*u + 0)*(0*u + 6*u - 2*u).\nAnswer: 44*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.07222 tonnes in nanograms?\nAnswer: 16072220000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 110, 101, 76, 29, -46, -155, -304, -499?\n\"Answer: -l**3 - 2*l**2 + 4*l + 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 2*f**2 + 19*f + 60. Calculate the remainder when p(-6) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, r: 2, m: 3, p: 2}. Give prob of sequence mm.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 5 + 1. Let y = 6 - f. Suppose g + 4 - 5 = w, 0 = -2*w + y*g - 12. Solve -6*d = -4*a - 2*d, 0 = w*a + 2*d - 6 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 2*m = -5*m + 1, 146*m - 75 = 5*u + 74*m + 71*m for u.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3322 + 3327. Suppose 16 = -0*i - 4*i. Put 2, i, m, -2 in decreasing order.\nAnswer: m, 2, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 e when three letters picked without replacement from {m: 7, g: 1, u: 7, d: 3, e: 2}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1215 - -1990?\nAnswer: 2ba5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a week in minutes?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times 3346?\nAnswer: -1338.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -2*i**2 + 6*i - 5. Let u(z) = -2*z**2 + 5*z - 4. Let a = -24 + 18. Let c be ((-15)\/6)\/(3\/a). Let q be 25\/(-4) - 4\/(-16). Calculate c*j(f) + q*u(f).\nAnswer: 2*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of z**2 + 6. Let n(m) = 4*m + 3. Let y(t) = -t - 1. Let w(o) = n(o) + 3*y(o). Calculate c(w(k)).\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - d - 21 = 0, 3*d + 10 + 9 = -k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3198 a multiple of 78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -10, 1, 362, 1\/3 in increasing order.\nAnswer: -10, 1\/3, 0.4, 1, 362","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-18)*(-54)\/(-42)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1512.6 + -1513. Which is the closest to 0.2? (a) 0 (b) -4\/11 (c) 2 (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1013844, -2027693, -3041542?\nAnswer: -4055391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 + 3 + (-1 - 3 + 3)*(-2 - 1 + 1) - 4 + 3 - 8)*(-f + 4 - 4) to the form v + y*f and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 51\/8 of a kilogram?\nAnswer: 6375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 26629476 and 7.5084.\nAnswer: 26629483.5084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35, 58, 95, 152, 235?\nAnswer: 350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -108*b + 103*b + 40. Solve -5*k + 3*i = -i + 7, 2*k = -i - b for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -200 + 204. Solve -m*l + 12 = 0, -2*r + 2*l = -6*r - 6 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1535542 (base 6) to base 8\nAnswer: -261126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 56890?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -471304 - 328906 = -65*p + 98805. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18757\/6 - -3110. Find the common denominator of p and -14\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.1, 3, 1.12 in ascending order.\nAnswer: 1.1, 1.12, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3354 divided by 3\nAnswer: 1118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -72.6 - -55.6. Sort 8, 2\/15, -4, 0.2, d in ascending order.\nAnswer: d, -4, 2\/15, 0.2, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -35*m - 131 wrt m.\nAnswer: -35","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*p = 5*p + 15 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - 3*f + 26. Let v be f\/21 - 7\/(-21). Sort v, -0.4, 0.2 in increasing order.\nAnswer: -0.4, v, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.1, 3\/2, 482, -8, -5, 32?\nAnswer: 482","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2202 (base 3) to base 16.\nAnswer: 4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94209 is divided by 101?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 0, -2, 18, 5, 1 in ascending order.\nAnswer: -2, 0, 1, 5, 7, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*s**2\/4 - 49961*s - 1014923 = 0. Calculate s.\nAnswer: -182\/9, 22306\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {y: 4, k: 6, p: 1}.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/(-6 - -3)*-2. Suppose -y*z + 5*z = 3*h - 10, 0 = 5*z - 2*h + 11. Let f be (-135)\/210*(-8)\/18. Which is greater: z or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2. Let r(j) = 5*j**2 + 21*j - 5. Let b(q) = -2*c(q) + r(q). Is b(21) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 546182404 to the nearest integer?\nAnswer: 817","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1112343.\nAnswer: 3, 599, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -92*b + 87*b + 15 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w and 1 e when four letters picked without replacement from wwwwweewww?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/10*5\/2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15 by -58.\nAnswer: 15\/58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1506428185 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/q**(8\/5)))\/q*q*q**(-5\/11) assuming q is positive.\nAnswer: q**(63\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/12 and 2\/(-14) + (-29)\/(-56)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -92365 = -92438?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1 + 1)\/(-4))\/3. Let g be 12\/7 - 6\/(-21). Solve -g*v - 2*v = s for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4 - ((-28)\/(-8) + 0))*6. Let a(z) = -11*z + 2. Let q(n) = -20*n + 3. Let g(v) = o*q(v) - 5*a(v). Calculate g(4).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 215\/684 - 7\/76. Sort g, -2212, 1 in decreasing order.\nAnswer: 1, g, -2212","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 157548 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: Divide 13876 by 14991.\nAnswer: 13876\/14991","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 39\/(-12))\/(21\/14).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 5*i - 48 = 0, 0 = 2*z - i - 3 + 55. Let j be z\/(-10) - (-3)\/15. Calculate the greatest common factor of 9 and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -7*k - 19. Let v(r) = -122*r - 326. Let w(c) = -35*m(c) + 2*v(c). Give w(6).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 8 = 5*x. Let k be (14\/210 + (-2)\/30)*(3 - 2). What is w in 0 - 2\/5*w**3 + k*w**x + 2\/5*w = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-16)\/(-10 + 6) + 372. Let x = s + -258. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20220 = q - 135993. Suppose 12 = -4*p, -3*p - 35318 = -2*r - 7763. Suppose -q = -2*m - r. Round m to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 25 - 25.3. Is -2\/7 at most as big as i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 55039?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 7*n - 2. What are the prime factors of g(2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3\/22)\/(6\/(-8)). Let y = 0.47 - -1.53. Which is the nearest to y? (a) -2\/3 (b) k (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 143696 to the nearest integer?\nAnswer: 379","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.9190915 litres?\nAnswer: 919.0915","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 57900 + -57901.09986. Let a = -1.1 - l. Round a to four decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - -4.16. Let h = -0.23 + v. What is h rounded to 1 dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 2606?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 5fb72 (base 16) to base 15\nAnswer: 7b26a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 167521 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6\/15419 + -447565\/1063911. Put r, -5, 2 in descending order.\nAnswer: 2, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, -9806\/5, 0.2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1100907.3 * -0.2\nAnswer: 220181.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 4, u: 2}. Give prob of sequence mmmu.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = -2*g - 3*g + 4*z, 5*z = -4*g - 17 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/207998 and 113\/10024.\nAnswer: 831992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -735, -955, -1321, -1833, -2491, -3295?\n\"Answer: -73*b**2 - b - 661","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 - m**2 + m - 1. Let c(t) = -t**3 - 8*t**2 - 6*t + 9. Suppose 5*p - p = 5*d - 8, -5*p = 2*d - 23. Suppose x = -4 - p. Let b be c(x). Give l(b).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 24 = -25. Let z = 0.2 + -0.3. Which is the second biggest value? (a) o (b) z (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*h - 45 + 345 = -4*h for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -117\/31, 1\/7, 1 in descending order.\nAnswer: 3, 1, 1\/7, -117\/31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 11:27 AM?\nAnswer: 1:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rv when two letters picked without replacement from irpphhivphhf.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x\/x**(6\/11))\/(x**(-3\/19)*x))\/(x*x**14)**6)**(-6\/13) assuming x is positive.\nAnswer: x**(112092\/2717)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.15? (a) 5 (b) -4 (c) 2\/11 (d) 2\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 greater than or equal to -81\/59?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the second derivative of 191*v**5\/20 + v**4\/12 - 19*v**3\/6 + 41*v**2\/2 - 13*v - 2. Is l(2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-15*v**2 - 71*v**2 - 46*v**2)*(v + 9 + 14 + 12) as p*v**2 + n*v**3 + d*v + z and give p.\nAnswer: -4620","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 716, 1414, 2112, 2810, 3508, 4206?\n\"Answer: 698*s + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 6*t - 4 + (-4 + 4 - 2*t)*(1 - 1 - 1) + 2*t + 3*t + 0*t + 3*t + 3*t - 4*t.\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 16311066 + -56?\nAnswer: 16311010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -228974, -457431, -685888, -914345, -1142802?\nAnswer: -1371259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -22, -45, -68, -91?\n\"Answer: -23*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((36\/(-15))\/3)\/(33\/165).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 22 = 4*f - 5, 2*d - 18 = -4*f. Let q(g) = 31*g - 103. Let y be q(d). What is the greatest common factor of y and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*h + 13 = -4532*k + 4534*k, 3*h = 6*k + 3 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of 5*o**3\/6 + 10*o**2 + 19*o - 45. Let x(y) = -16*y - 60. Determine 10*a(m) + 3*x(m).\nAnswer: 2*m + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11942 is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of 5 - 2*o - 1\/2*o**2. Let d be z(-5). Let x(w) = w**2 - 3*w - 3. Give x(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-76)\/3572 + 374\/(-94)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*k + 22*k - 120. Calculate the greatest common divisor of k and 96.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {k: 7, g: 3}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 6 = 2*i, i - 8*s - 1 = -10*s for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - -12) + -12 - (-3 - 2).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 53 + -46. What is the greatest common divisor of f and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6752887 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 27124*g - 30923 - 167060 - 181753 for g.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63365 (base 12) to base 3.\nAnswer: 20121110212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 2*s. Let t(y) = -445537*y. Give b(t(x)).\nAnswer: -891074*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the second derivative of -u**7\/42 - 2*u**6\/15 + 119*u**5\/10 + 153*u**4\/4 - 3*u - 338. What is the third derivative of q(h) wrt h?\nAnswer: -60*h**2 - 96*h + 1428","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.77 - -79.77. Let z = 77.9999964 - w. Round z to 5 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 70, 368, 1110, 2488, 4694?\n\"Answer: 32*v**3 + 30*v**2 - 16*v + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 - -15. Suppose 5*r = w*r - 1. Which is smaller: -3 or r?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 459 - 174. Let x = 448 - h. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 2*j**2 - 5*j + 7. Let l be z(2). Solve 3*p - l = -2*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 152900 and 88.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -168 = -2*g + 5*g. What is the tens digit of 2\/(-7) + (-800)\/g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, i: 2, g: 1}. Give prob of sequence bg.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 97.3961 to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 139898541 less than 139898536?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 156469.5969 rounded to the nearest one hundred?\nAnswer: 156500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -15*g - 5131. Let u(t) = -75*t - 14. What is u(v(o))?\nAnswer: 1125*o + 384811","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-12)\/10)\/((-2)\/(-5)). What is the closest to 0.1 in 0.1, -2, i?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(108) - (-4 + sqrt(108) + -1*sqrt(108))) + 0 + sqrt(108) + (sqrt(108)*1 - sqrt(108)) + 2)*5)**2.\nAnswer: 3600*sqrt(3) + 11700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.83305 rounded to three dps?\nAnswer: 0.833","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 591 is divided by 54.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 7, c: 7}. What is prob of sequence hhcc?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 920*h**3 - 10*h + 158. Let b(s) = 459*s**3 - 6*s + 79. Let g(z) = 15*b(z) - 9*q(z). Find the first derivative of g(w) wrt w.\nAnswer: -4185*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 450*i**2 - 2098 - 263 - 452*i**2 as m*i + z*i**2 + h and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 11 - 17 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 2*d - 36. Let k = 51 + -31. Let a be c(k). Suppose -9 = -l - 4*x + x, 75 = a*l - x. Is l a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2847 and 1443?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 100 (base 7) to base 16\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 14*u**2 - 4*u - 1. Let h(z) = 1. Let i(o) = 4*h(o) + w(o). Let a be i(1). Suppose -y = y - 26. Calculate the highest common factor of y and a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2 - 6*g + 3. Let k be h(-6). Suppose 24*v**k - v - 7*v**2 + v**2 - 3*v - 26*v**3 = 0. What is v?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*n + 8*n + 75. Solve -5*x + n = 0, -2*s + x = 4*x - 15 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (2 - (3 + -6 + 2)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1849952?\nAnswer: 2, 13, 4447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 51089 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 16, 2, -6?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -4*a + 63. Calculate o(17).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14.7 - -0.7. Let y = t + 12. Let k be 1*2\/54*-3. Sort k, 3, y.\nAnswer: y, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/4*-2*0. Let g = 3 + m. Suppose 0 = g*v - 109 - 662. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7295.244ng to grams.\nAnswer: 0.000007295244","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 154\/23? (a) 2\/3 (b) -0.6 (c) -4 (d) -5 (e) 0.037 (f) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 828530329?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -22*j**3 + 55854*j**2 - 55855*j**2 - 3*j**3 - 3*j in the form u*j**3 + g*j + v*j**2 + q and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/(-6)*24*(-6)\/(-720).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -0*n - 20. Let w be (1 + 5)\/(-2) + n. Solve 0*h + 8 = -w*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 3)*(-3*f + 8*f + 0*f)*(-6 + 3 + 1).\nAnswer: 10*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -967*q**2 + 11535*q + 36. What is k(12)?\nAnswer: -792","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 22246 plus 1342971?\nAnswer: 1365217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 7*g**3 + 22*g**2 + 143*g + 200. Let u(n) = -5*n**3 - 22*n**2 - 142*n - 200. Let b(p) = 2*q(p) + 3*u(p). What is r in b(r) = 0?\nAnswer: -10, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 205*t + 210*t + 40 = 0, -4*p - 15*t = 63 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2051 (base 9) to base 3.\nAnswer: -2001201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 792664, 792676, 792690, 792706, 792724, 792744?\n\"Answer: q**2 + 9*q + 792654","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes after 2:46 PM?\nAnswer: 3:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 - (2 + -6 - -1). Suppose 3*u = 5*j + 21, -q*u - 4*j - 20 = -6*u. Solve u*d - d = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of k**6\/120 + k**3\/3 + 24*k**2. Let x be h(0). Factor -1\/4*v**x + 0*v + 1\/4*v**3 + 0.\nAnswer: v**2*(v - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6352074 divided by -8.\nAnswer: 3176037\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 6*m + 38. Let p(f) = -6*f + 5*f + 456552 - 456552. Calculate v(p(d)).\nAnswer: -6*d + 38","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 89403609?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 25*z + 2 + 5*z in the form b + t*z and give t.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:14 PM and 1:33 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(-10)*(-44)\/(-99).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - 1) + (4 - (2 + 4)) + -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of t**5\/240 - t**4\/12 - 101*t**2 - 231. Let v(o) be the second derivative of x(o). Factor v(u).\nAnswer: u*(u - 8)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -53.32 rounded to 0 decimal places?\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -2*b**3 - 12*b**2 - 2*b - 1. Let f be s(-6). Suppose 0 = 13*x - f*x - 8. Suppose 0*m - 36 = -x*m. What are the prime factors of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5485 - 5396. What is the least common multiple of 534 and k?\nAnswer: 534","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7629861721 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -7\/3, 46, 3, -3, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2200) + 2*(sqrt(2200) + (sqrt(2200) - 3*sqrt(2200)) - sqrt(2200)))\/(-3*-1*sqrt(2)*1))**2.\nAnswer: 1100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1118*b - 463*b - 645*b + 968 - 968.\nAnswer: 10*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.03 - -3. Let v = -0.1 - w. Let z be (-1)\/(-4)*(-44 - -42). Which is the nearest to z? (a) -0.4 (b) v (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22282456 divided by 9?\nAnswer: -22282456\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1005 and 1185.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.08 and 0.252526.\nAnswer: 0.02020208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(660)*-1*-4)\/sqrt(11))\/(-1*sqrt(432)*-2).\nAnswer: -2 + sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 5*z + 72 = 0. What is the common denominator of 113\/42 and ((-1701)\/z)\/(-7) + 2?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 + 11*c**2 - 4*c - 7. Is g(-9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*a - 5*a = -841. Let y(v) = -v + 9. Let o be y(7). Let x be o\/(-4) - (-413)\/14. Is x != a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + 1)*2 - (4 + -4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 978, 1197, 1420, 1647, 1878, 2113, 2352?\n\"Answer: 2*m**2 + 213*m + 763","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24 and 56?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 + 25*i**2 + 6*i - 6. What is w(-25)?\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -91, -93, -105, -133, -183, -261?\n\"Answer: -m**3 + m**2 + 2*m - 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 690*k**3 - 106*k**2 + 1 + 692*k**3 - 1375*k**3.\nAnswer: 7*k**3 - 106*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 12:22 PM?\nAnswer: 1:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 25 + 3. What is the remainder when (-489)\/(-9) + -2*(-3)\/(-18) is divided by h?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c - 4*c = 0, -c + 168 = 2*y. Let r = 124 - 103. Calculate the smallest common multiple of r and y.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 9:25 AM?\nAnswer: 7:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes before 4:56 AM?\nAnswer: 2:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -6484.8752 to the nearest integer.\nAnswer: -6485","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 112880?\nAnswer: 2, 5, 17, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -819950327\/946 - -866755. What is the common denominator of z and -1\/44?\nAnswer: 1892","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/((q**(5\/6)*q)\/q*q))\/q*q**(1\/10))\/(q**1)**(2\/61) assuming q is positive.\nAnswer: q**(-1616\/915)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-1 + sqrt(363))**2 + (sqrt(363)*-1*6 - sqrt(363)) + sqrt(363).\nAnswer: -88*sqrt(3) + 363","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -17 - 23 - 5*a - 18 + 43. Give p(-11).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (34 - (13 - -14)) + -1 + 0 + -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from {i: 3, d: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 - 4*y**2 - 4*y. Let m be z(5). Let b = 17.2 + -16. Let u = 1 - b. What is the smallest value in m, u, 2\/5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -12, -15, -18, -21, -24?\n\"Answer: -3*a - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttttbttbtttt. What is prob of picking 1 t and 1 b?\nAnswer: 11\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 11488*x**2 + 8523*x - 42. Let l(i) = 11487*i**2 + 8522*i - 36. Let a(w) = -7*l(w) + 6*o(w). What is the second derivative of a(d) wrt d?\nAnswer: -22962","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 4*t + 20, 35 = -3*o - t + 30. Suppose o = 4*z - 3*w - 33, 5*z - 10*z = -w - 33. Solve 6*c = -3*c + z*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -2*m + 1. Let i(z) = 7*z - 4. Let t be i(2). Suppose -2*g + t - 2 = 0. Give q(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -562, -556, -540, -508, -454, -372?\n\"Answer: k**3 - k**2 + 2*k - 564","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 - 6*s**2 + 4*s + 7. Let c be d(5). Factor -j**3 + 32 - 3*j**c - 32 - 2*j.\nAnswer: -j*(j + 1)*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89*t = -95*t + 7235 - 35. Is 15 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -4 + 3 + 3 + -3\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 2*a**3 - 4*a - 9. What is z(-3)?\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 + 8*a**2 - 13*a - 23. What is the remainder when 48 is divided by g(-9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1)*y\/((((y\/(y**(-4)*y))\/y)\/y)\/y)*y)\/(y**18\/(y*y**(2\/15))) assuming y is positive.\nAnswer: y**(-253\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -91.54 - -93. Let b = x + -0.1. Let u = b + -2. What is u rounded to 1 dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1398?\nAnswer: 2, 3, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in five eighths of a microgram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**6\/((r\/(r*r\/r**(-5)))\/r)*r**(-3)*(r*r**(3\/4)*r)\/r*r assuming r is positive.\nAnswer: r**(51\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12546 = -1079*q - 309*q + 43082 for q.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 7*m**2. Let r be f(1). Suppose 2*o = 7*o - 105. What is the highest common divisor of r and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 880*v**2 - 3*v + 2. Let x be 60\/40 - (-3)\/(-2). Suppose 0 = -x*u - 5*u + 5. Is g(u) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 144.68550655 to the nearest 10.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*2*(2*sqrt(7)*6 - sqrt(7)) + ((sqrt(756) - (-3*(sqrt(756)*1 + sqrt(756)) - sqrt(756)) - sqrt(756)) + sqrt(756) + sqrt(756))\/sqrt(12))*-4.\nAnswer: -196*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of p**7\/840 - p**5\/15 + p**4\/8 - 24*p**3 - 12*p**2 + 5*p. Let l(m) be the first derivative of c(m). Give l(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 749148631 and 77?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.017717*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 1 + 0)*(-2*p + 2*p - 3*p) in the form o*p + n and give o.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvm when three letters picked without replacement from {l: 2, m: 2, v: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 75 and 255?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 52\/445?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 - -14. Let l = 5.9 - c. What is the closest to l in 4, 0, 5\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -63*k - 254. What is the hundreds digit of n(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 231907563*x**4 - 9657754*x + 8 wrt x?\nAnswer: 2782890756*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2680861920 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z - 1. Let v be (-22)\/(-8) - 2\/(-8). Let f be o(v). Suppose -5*c + 20 = 0, -f*c - 75 = -5*b + 3*c. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -150*f + 122 - 243 = 201 + 278 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 3*a = 13, -49*a + 50*a = -2*h - 16. Is 66 less than or equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 AM and 4:15 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 8*m**2. Let f(n) = 43773*n. Give k(f(u)).\nAnswer: 15328604232*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 2 + 3)*(30*j - 2060 + 2060) - 2*j - 2*j + 2*j + (j + 4*j - 3*j)*(-3 + 1 + 0) - 3*j + j + 4*j in the form p + x*j and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of -4*o**7\/63 - o**6\/15 + o**5\/30 + 10*o. Factor j(v).\nAnswer: -2*v**3*(v + 1)*(4*v - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2630864707 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -18.114 > -1588?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 2*u**2. Let v be (-2)\/3*(-171)\/6. Let z(n) = -12*n + v*n - 13*n. Determine z(c(r)).\nAnswer: -12*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -175 = 7*d - 189. Suppose r = -d*r - 11*r. Solve 2*h - 18 = 4*k, r = 2*h - 0*k + 2*k + 12 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -14*q + 1. Let x(p) = 5*p. Let k = -118 - -126. Determine k*x(w) + 3*g(w).\nAnswer: -2*w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -273932, -273942, -273952, -273962, -273972, -273982?\nAnswer: -273992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.023568375*5.\nAnswer: -0.117841875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -68\/24345 and -88\/24345.\nAnswer: 24345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 104 and 351.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -65\/29 < -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6833*-4.\nAnswer: -27332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(70) + sqrt(70)*1)*4*-5)\/(-5*sqrt(40)\/(sqrt(4) + 4*sqrt(8)\/sqrt(2))).\nAnswer: -200*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 6*y**2 - 5*y - 1. Let x be v(4). Let t be x\/10*(-66)\/(-5). What is the highest common factor of 9 and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 646?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jzj when three letters picked without replacement from zzzzzzzzzzjjzzzjjzjz.\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.09 - -0.41. Let y = -0.496 - -0.076. Let q = l + y. Which is smaller: -12\/11 or q?\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2 + 3*h. Let r(b) = 7*b**2 + 18*b. Let u(d) = -r(d) + 6*x(d). Let l(a) = -42*a**2 - 15*a - 9*a + 24*a. Determine u(l(o)).\nAnswer: -1764*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - 4. Suppose -3*r = -0 - p. Let c(i) = -i**3 + 9*i**2 + 2. Let s be c(9). Solve -2*g - s*u + 4 = 0, r = -3*g + 3*u - 4*u + 6 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1031*v**3 + 3*v**2 + 12464 - 12464 - 52*v**3 + 38*v**2 - 69*v wrt v?\nAnswer: 5874","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6741501434 + -1?\nAnswer: 6741501433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -145\/93 (b) 3 (c) 462\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6444 and 144?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -106 (base 8) to base 2\nAnswer: -1000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/2)\/(-11) - 980\/2772.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -34*t**4 + 3132*t**3 + 87522*t**2 + 224260*t - 27600 = 0.\nAnswer: -20, -3, 2\/17, 115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1e58 (base 16) to base 5\nAnswer: -222033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3227 + 3227.0010938. Round d to 4 decimal places.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 248 and 111104?\nAnswer: 111104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -46100926 minus 1793?\nAnswer: -46102719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 + 5*k**2 - 1312*k + 7793. Determine h(6).\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93675.\nAnswer: 3, 5, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**2 + 9*n + 10. Let w be f(10). Suppose 6*b - 2*b - 272 = w. What is the remainder when b is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 163 = 4*r - d, 230 - 23 = 5*r + 2*d. What is the remainder when r is divided by -1*(-21)\/((-1)\/(-1))?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -3*m + 2*m + 16, 4*i - m = -20. Let t(v) = v**3 - 3*v**2 - 8*v - 10. Suppose 4*w - 7 = 13. Let u be t(w). Sort 1, u, i in decreasing order.\nAnswer: 1, u, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -352 (c) 3 (d) 1\/11 (e) -1\/6 (f) 42\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3549 - 1841. Suppose 40*n = 47*n - x. What are the prime factors of n?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/3)\/(8\/(-12)). Let k(o) = -o**3 + o**2 + 2*o + 1. What is the remainder when ((-1)\/(-3) - -1)\/((-12)\/(-18)) is divided by k(h)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -473\/4 + 119. Put d, 3, 2 in descending order.\nAnswer: 3, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 13) to base 12.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*x\/x**(-7))*x**(4\/5))\/(x**6*x**(2\/9)*x) assuming x is positive.\nAnswer: x**(-649\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, h: 5, x: 9, j: 5}. Give prob of picking 3 h.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:10 PM and 11:01 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5.1 + -5. Let h be (-2 - (-48)\/14)\/(-11*64\/(-1232)). Sort r, -1\/2, 1\/3, h in descending order.\nAnswer: h, 1\/3, r, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-6\/7)*x)\/(x*(x\/x**(3\/5))\/x)*(x\/(x\/(x*x\/(x*(x*((x**(-2\/3)\/x)\/x)\/x)\/x))))**46*(((x*x*x\/x**(1\/2))\/x*x)\/x**(-3))**43 assuming x is positive.\nAnswer: x**(94691\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 16) to base 13.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 8 = -4*q. Suppose -2*o + 2*w = q*o - 54, 0 = -o + w + 14. What is the greatest common divisor of 26 and o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*n**3 + 3 - 9*n**2 + 6 - 9.\nAnswer: -4*n**3 - 9*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 3. Let c(i) = -i + 7. Let a(x) = -6*c(x) + 13*p(x). Let w be a(2). Suppose 4*h - w = h. Sort h, 2, 0 in increasing order.\nAnswer: 0, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 4*o = 12. Let i = o + -4. Let u = 1 - i. Solve 5 - u = -c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 21 + 10621?\nAnswer: 10642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1 times -0.3751\nAnswer: 0.3751","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.51061952 to 3 decimal places.\nAnswer: -0.511","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 119489 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 + 28. Suppose 17*n + v = 18*n. Suppose 34*x - n*x + 395 = 0. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the second derivative of 1\/4*d**4 + 3 - d**2 + 0*d**3 - 2*d - 1\/20*d**5. Determine u(4).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7331*m**2*y + 975*m**2 - 3*m*y**3 wrt y.\nAnswer: -7331*m**2 - 9*m*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 486674 is divided by 1035?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 479 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 17, 45, 4, -60, -7, 3 in descending order.\nAnswer: 45, 17, 4, 3, 0, -7, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 96584*0.92\nAnswer: 88857.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q + 1. Let i be w(1). Let d = 6 - i. What is the units digit of (d\/3)\/((-7)\/(-42))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, h: 6, v: 4, w: 2, c: 1, x: 1}. What is prob of sequence wwc?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*a - 4*a + 2*h - 8, 5*h - 20 = 5*a. Suppose -9*t + 15*t - 792 = a. What are the prime factors of t?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4175.\nAnswer: 5, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18\/7*w - 2\/7*w**2 - 16\/7.\nAnswer: -2*(w - 8)*(w - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 15 = -2*w, 4*w - 3*q - 11129 = -22270 + 11120 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.22, -0.4, 51, 664, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1, -24, -6, -4, -11.8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -31? (a) 48 (b) -788 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) -9\/14 (c) 0.2 (d) -2\/9 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s and 1 w when four letters picked without replacement from wyywsywyyw?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 985?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 433147 and 4576?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -90*x**2 + 13*x**2 + 4*x**3 - 19*x**2 - 8*x**3 + 435*x - 434*x to the form h*x**2 + u + s*x**3 + v*x and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -3*p**2 + 6*p. Let s(h) = -7*h**2 + 12*h + 1. Let w(v) = -2*s(v) + 5*x(v). Give w(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of k**6\/120 - 7*k**5\/60 + k**4\/12 - 4*k**3\/3 - 71*k**2 - 152. Let u(b) be the second derivative of r(b). What is u(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.4825 and 31.7.\nAnswer: 31.2175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5.94 + -6. Let h = a + -0.24. Let d = 3 + -5. Put d, -3\/7, h in ascending order.\nAnswer: d, -3\/7, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3264326 <= -3264326?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 22*v - 64*v - 5*v**4 + 14*v - 8*v + 4*v**4 to the form l*v**3 + o*v + i*v**2 + r + w*v**4 and give o.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 13, 0 in descending order.\nAnswer: 13, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - -11) + (-17 - (4 - (2 - 1)))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(2\/7)*a**(1\/5)*a**(-4\/3)*((a\/(a\/(a*a**(-1\/6)*a)))\/a)\/a assuming a is positive.\nAnswer: a**(-71\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6432450 (base 7) to base 13.\nAnswer: -214797","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 21 (b) -0.1 (c) 2 (d) 0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3533109227 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.0791 - 0.0691. Let p be ((1 - 2)\/(-3))\/1. Which is the closest to -1? (a) p (b) 0.4 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7906 - 7905. What is the closest to -4 in -0.26, -0.1, i?\nAnswer: -0.26","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 0.15?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 85267.8124 rounded to the nearest 10?\nAnswer: 85270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the second derivative of 4787*v**3\/2 - 4830*v**2 + 4446*v. Differentiate c(q) with respect to q.\nAnswer: 14361","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f**2 - f**2 + 2*f**2)*(2 - 1 + 3)*(3*f - f - f).\nAnswer: 12*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -413 = -3*t + 5*j, -3*j + 260 = 3*t - 193. Suppose 0 = -q + 5*u + 81, 7*q - 229 = 3*q + u. Let y = t - q. List the prime factors of y.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 56 + -29. Calculate the smallest common multiple of h and 6.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -62 - (15 + -23) - 0.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -97 + 54 - 184*a**2 + 954*a**2 + 46 - 7189*a**2 + 1315*a wrt a?\nAnswer: -12838","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7842, -15712, -23608, -31536, -39502, -47512, -55572?\nAnswer: -63688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 126*w**5 - 30*w**4 + 1070*w**3 - 3461260*w**2 - 19.\nAnswer: 7560*w**2 - 720*w + 6420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12772*n**4 + 4*n - 22*n**2 + n**2 + 2 - 12771*n**4 - 4 - 4*n**3 to the form a*n**3 + j*n + g*n**2 + v + l*n**4 and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (8 + -5))\/(895\/(-17900)).\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20 - -21. Let o = 13.87 - -0.13. Let g = -10 + o. What is the closest to 1 in g, 0.3, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xe when two letters picked without replacement from {x: 5, c: 2, i: 3, e: 2}?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2494, -9958, -22400, -39820?\nAnswer: -62218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 4*g - t - 49, -4*g - t = -37. Suppose 5*r + 3*s = 2*s + g, -2*r + 5*s + 4 = 0. Solve 3*z + 3 = r*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 1716, -2 in decreasing order.\nAnswer: 1716, -2, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 544*w**3 - 279*w**2.\nAnswer: 3264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 198*k**6 - 4*k**5 - 4*k**3 + 188*k**2 + 4. Let c(u) = -u**6 - u**5 - u**3 + 1. Let q(r) = 4*c(r) - m(r). Find the third derivative of q(y) wrt y.\nAnswer: -24240*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 - 69*n**2 + 38*n + 1536. Give f(-69).\nAnswer: -1086","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + 4. Let s(w) be the second derivative of 0*w**6 + 0*w**4 + 2*w + 0*w**2 + g*w**3 + 1\/80*w**5 + 0 - 1\/168*w**7. Find m such that s(m) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -8 + 17. Suppose -q*o - o + 7 = 5*b, 0 = -3*b + o + 11. Suppose -2*h - 5 = 2*u + b*h, -5*u + 10 = 5*h. Solve 0 = u*v - 0*v + 20 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72 = 3*z + 5*s, 0 = -5*z - 4981*s + 4975*s - 92 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**2 - 25*h + 285. Determine p(9).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**4 + 11*r**3 - r**2 - 11*r.\nAnswer: r*(r - 1)*(r + 1)*(r + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25 - 2*i**3 - 16*i**3 - 12*i**3 - 26*i**3 + 15*i**3.\nAnswer: -41*i**3 - 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -172, 0, -25, 1, 2 in increasing order.\nAnswer: -172, -25, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 8*x + 1. Give q(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/7 (b) 16 (c) -1 (d) 0.3 (e) -5 (f) -0.0350465\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5335313 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 25008000?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -5 * -0.7997\nAnswer: 3.9985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2669751 divided by -889917?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/174 in 3, -6, -2\/7, -0.2, -1\/2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**2 + 16*l + 5. Let k be a(16). Suppose -2*t + 18 = 4*x, t - 6*t + 31 = 3*x. Solve -5*o - k*h + 10 = 0, -2*o = 4*h - 0*h - x for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + 3*s + 10. Let w = s + 6. What is the remainder when 5 is divided by w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:43 PM and 1:43 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14 and 88.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4\/7, 0.5, 1.3, -5, 0.2?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*u**3 - 4*u**3 + 2*u**3 + (-3*u**2 + 10*u**2 + 2*u**2)*(0*u + 0 + 2*u - 1) to the form h*u**2 + d*u + z + n*u**3 and give n.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-189)\/81)\/((-22)\/(440\/(-28)))?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 - u**2 - 2*u + 2. Suppose 332 + 564 = -14*c. Let y = 64 + c. Let k be f(y). Solve 0 = -k*v + b - 3, b - 1 = 2 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 39.991 to zero decimal places.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 x when two letters picked without replacement from {x: 3, q: 3, t: 2, d: 1, b: 1, w: 1}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*v - 2*i - 43, 126*v + 4*i = 123*v - 21 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/(c**(-1\/4)*c))*c)\/(c**(-6)*c*c)*c**(-3\/5)\/(c**(1\/9)*c*c) assuming c is positive.\nAnswer: c**(547\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16240 and 20880?\nAnswer: 146160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 536 and 52.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 800?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1088903 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 45 and (-15)\/(22308\/(-1392) - -16).\nAnswer: 5220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 PM and 3:40 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0422 - -1?\nAnswer: 0.9578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3399 - -1074041\/316. Find the common denominator of s and 41\/4.\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -111\/826 and (-162)\/(-270) - ((-4546)\/(-5310) + (-1)\/3).\nAnswer: 7434","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 + 2)*(10*x - 5*x + 0*x).\nAnswer: -5*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -5*s - 28, 2*v + 16 = s + 28. Solve -5 = 4*i - i + v*t, 3*t = 3 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2 - 16*w - 11. Calculate the remainder when 80 is divided by t(-13).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97773191 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence spb when three letters picked without replacement from {p: 1, s: 1, b: 1, x: 2, l: 1, u: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3556357ml to litres.\nAnswer: 0.0003556357","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/10, 15, -2?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 - -2. Let z = j + -1. Calculate the remainder when z is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*i + i - i = 0. Solve i = -4*u + 17 - 21 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3a1 (base 16) to base 15\nAnswer: -41e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 + 10*a**2 - 33*a - 109. What is g(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*i + 660 = 616. Put 1, -5, -8, i, -1 in decreasing order.\nAnswer: 1, -1, i, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:43 PM and 9:40 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.1 (b) 193\/4 (c) -1\/9 (d) 3 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, e: 1, m: 1, w: 3, a: 1, u: 5}. What is prob of picking 1 w and 1 u?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -s**2\/6 - 128920*s\/3 = 0.\nAnswer: -257840, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + 2 + (-1 - 1). Let v(i) = i. Let m(c) be the first derivative of c**2 - 2*c - 7. Let l(k) = s*m(k) + v(k). Calculate l(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1461278 - 82585 - 1570068 = -17785*b - 446181 for b.\nAnswer: 150","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5 and -4650719608.66.\nAnswer: -4650719613.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -216 - 5426. Is (h\/(-52) - (-10)\/4) + 0 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-5) + (-84)\/(-15)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 493*n + 934. What is f(-2)?\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1076, -1075, -1074, -1073, -1072, -1071?\n\"Answer: n - 1077","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 155036 is divided by 816.\nAnswer: 812","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -209003 divided by 7207.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 4083?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 137 - 73 + 6*d**2 - 65 - 2*d**3. Calculate a(4).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -5*i + 268 - 586 + 277. Determine c(-8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 17546715 - 15?\nAnswer: 17546700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 86*k**3 + 4964*k**2 + 6378*k - 6500. Let l(p) = 69*p**3 + 3971*p**2 + 5102*p - 5200. Let q(o) = 11*l(o) - 9*s(o). Let q(c) = 0. What is c?\nAnswer: -65, -2, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.01, -0.23, 208.2 in decreasing order.\nAnswer: 208.2, -0.01, -0.23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - s = -52. Let z = 24 + s. Suppose -8*d + z*d - 531 = 0. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5.5 and 2109148.\nAnswer: 2109153.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tetmvmvmvvmtetvy. What is prob of picking 1 m and 1 y?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3*(-3)\/6*-2. Suppose 5 = -202*i + 203*i. Calculate the least common multiple of i and 2\/(-3) - (-14)\/x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2618 by 353.\nAnswer: -2618\/353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 171 - 154. Let j be 4\/6 + (-62)\/(-6). Suppose -3*o = j - y. Solve q - 2 = 3*q - s, -s - o = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**2 + 5*a - 4. Let n = 32 + -27. Suppose -m - 7 = m - 3*q, 0 = -n*m + q + 15. What is u(m)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -24543 - -46266. Is t a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 15293, 30581, 45881, 61199, 76541?\n\"Answer: k**3 + 15281*k + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f - 8. Let o be y(3). Let a be (9\/(-6))\/(3\/(-1)). Let l = -4 - -7. What is the smallest value in a, l, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2. Let v(p) = 2*p - 24. Determine n(v(f)).\nAnswer: 4*f**2 - 96*f + 576","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 - 9*i**2 - 13*i + 12. Let t be y(-8). Suppose t*q - 49*q = -3. Which is the smallest value? (a) 2\/5 (b) -1\/11 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*g**2*p**4 + 2904*g**2*p**2 - 35*g**2*p - 2*g**2 + 5*g*p - n*p**2 - 9*n*p - 2*n wrt p?\nAnswer: 36*g**2*p**2 + 5808*g**2 - 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 91099.\nAnswer: 91099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1734*g + 20006 - 3*g**3 - 1734*g.\nAnswer: -3*g**3 + 20006","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 102*a**2*c**2*h - 6*a**2*c*h**2 + 4*a*c - 2*c**2*h - 22*h**2 wrt a?\nAnswer: 204*c**2*h - 12*c*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16 (base 11) to base 15.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x**4\/15 + 872*x**3\/15 + 3512*x**2\/15 + 704*x\/3 = 0. Calculate x.\nAnswer: -2, 0, 440","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 3) in base 15?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 117604*0.314.\nAnswer: 36927.656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12998127?\nAnswer: 3, 4332709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7017705 by -2043.\nAnswer: -3435","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17915 - -6728. List the prime factors of j.\nAnswer: 19, 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -241480?\nAnswer: 1\/241480","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36 and 72?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 33*c**2 - 10*c - 1. Let l(g) = 59*g**2 - 8*g - 1. Give 6*l(j) - 5*p(j).\nAnswer: 189*j**2 + 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -723 + 723. What is the second biggest value in g, -0.03, 0.0503?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of -m**6\/180 + m**5\/40 - m**3\/2 - m. Let z(v) be the second derivative of p(v). Find the second derivative of z(y) wrt y.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10257619 to the nearest integer?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qgntnltqtn. Give prob of picking 1 g, 1 n, and 1 q.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x - 4 = 17. Let s be (-462)\/(-35) - (x - -2 - 1). Which is smaller: s or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/(-4))\/(94\/(35344\/141))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 50757659 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, -1\/2, 19, -5, 2\/17?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange r - r - 2*r**2 - r**2 + 1 - 138*r**2 to the form g + c*r + q*r**2 and give q.\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -35b3e2 + -2?\nAnswer: -35b3e4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -12*22\/(-33)*(-15)\/12?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -48479 + 81436. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1733, -6711, -14981, -26531, -41349?\n\"Answer: 2*s**3 - 1658*s**2 - 18*s - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15361.\nAnswer: 15361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -128 - -54. Let u = x + 104. Suppose -w - u = -6*w. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the third derivative of 0*y**6 + 3*y**2 + 1\/112*y**8 + 0*y**7 + 0 + 0*y**3 + 0*y - 1\/12*y**4 + 0*y**5. Find the second derivative of j(r) wrt r.\nAnswer: 60*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(88)\/(sqrt(8) + sqrt(64)\/(sqrt(32)\/sqrt(4) + sqrt(8))).\nAnswer: 2*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 75.1 + -5.1. Let w = o + -69.9957. Round w to 3 decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 11 + 10 = 0. Let z(j) = j**2 - 6*j - 4. Let w be z(r). Factor 5 + 21*b - w - 2*b**2 + 4 - 10*b**2.\nAnswer: -3*(b - 2)*(4*b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 167*m - 221*m + 115*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j - 1587*j**3 + 3115*j**3 - j - 1599*j**3.\nAnswer: -71*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 - 1) + (-205 - -188)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c*c**(-23)*c)\/c)**(-50)*(c\/((c**(6\/11)*c)\/c))\/c*c*c*c\/(c\/(c*c*c**(2\/33)*c))*c*c assuming c is positive.\nAnswer: c**(34865\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q - 3 = 70*q - 3. Let h(j) be the second derivative of q - 3*j**2 - 8*j - 7\/6*j**3 - 1\/12*j**4. Let h(n) = 0. Calculate n.\nAnswer: -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 359304?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 2*k**2 - 3*k - 5. Let q = -6 + 12. Let w = 9 - q. Let m(o) be the first derivative of -2*o**3\/3 + o**2 + 4*o + 4. What is w*m(u) + 2*b(u)?\nAnswer: -2*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -5116152*h - 304. Let t be c(-2). Round t to the nearest one hundred thousand.\nAnswer: 10200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1140.07 + 1121. Let c = -19.9 - m. Round c to one decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57739 + 1404365918?\nAnswer: 1404423657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2316*w + 2927*w - 1332*w to v + l*w and give l.\nAnswer: 3911","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-50)\/400*(-8)\/(-2)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 806.2591 minutes in nanoseconds?\nAnswer: 48375546000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -135 + 132. What is the nearest to -0.2 in 0.4, 0, -0.07, r?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9140*v = -8671*v - 7504 for v.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 4*(-2)\/6*(-45)\/510*-17\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.0651 + 0.9349. What is the closest to -2 in -4, 5.3, v, 1\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 27\/(18\/6) - 11 - -2. What is n in -3\/2*n**3 + i + 0*n + 9\/4*n**4 + 0*n**2 - 3\/4*n**5 = 0?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 878*h**2 + 1401*h + 1333*h - 2734*h.\nAnswer: 878*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 u when three letters picked without replacement from {q: 6, j: 2, d: 3, u: 4}.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15709, 15715, 15735, 15775, 15841, 15939, 16075, 16255?\nAnswer: 16485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2831460 by -235955.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = r - m, 4*m - 9 = -1871*r + 1868*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqx when three letters picked without replacement from {x: 4, q: 3}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 3*f + 11, 3*j - 6*j - 15 = 3*f. Suppose -19 = -5*n + 56. Suppose -n = 3*x + 2*x. Is x greater than or equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.164? (a) -1\/17 (b) 2\/9 (c) 2\/3 (d) 0 (e) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2166?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7462 and 180154?\nAnswer: 1261078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -4*d**2 + 4 + 2 - 5. Suppose 2*y - 4 + 0 = 0. Let q be (-1)\/y*(-2 - -4). Give g(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44639 is divided by 90?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - h + 9 = 3*c, -3*c - 5*h + 9 = 0. Let i be c\/(15\/(0 + 3)). Solve -3\/5*s + 6\/5*s**3 + 0*s**2 + 0 + 0*s**4 - i*s**5 = 0 for s.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9.12 - -10. Let p = i - -0.12. Which is the nearest to -3? (a) -4 (b) 2 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 203545 equal to 203692?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -2*l**3 + l**2 + 7*l + 7. Let d(i) = -i + 20 - 38 + 17. Let y be 8 - -1 - (-54)\/(-18). Let g(f) = y*d(f) + r(f). What is g(2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.39983 to 1 dp.\nAnswer: 3.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 270 and 216?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 6 = -33. Let n be ((-80)\/28)\/((-95)\/(-35) - 3). Are n and y non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1024 - -22653. List the prime factors of s.\nAnswer: 43, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the third derivative of -1\/12*p**4 + 3*p**2 + 0*p**3 + 0*p + 0. Give h(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 23482 and -1080.89.\nAnswer: 22401.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 14 (b) 89457 (c) -1 (d) -4 (e) -5 (f) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4*2\/(-3))\/((-412)\/515).\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0.066, -28.9, 1, 0.5, -1\/4 in decreasing order.\nAnswer: 5, 1, 0.5, 0.066, -1\/4, -28.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 4, 65 in descending order.\nAnswer: 65, 13, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -0.49 (b) -1\/10 (c) 4 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 14 + 14 = 0. Sort -4, 5, w in descending order.\nAnswer: 5, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 16) in base 11?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*w = 2*w - 1620. Let t be ((-120)\/3)\/(-8 - (-6 + 0)). Calculate the greatest common factor of t and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-32)\/56)\/(1\/(-7)). Suppose 24 = -2*n - v*f, 2*n + 5*f = -1 - 18. Find the common denominator of (-4)\/n + (-558)\/(-77) and 39\/7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and -3.07.\nAnswer: 6.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 238\/17*((-530)\/(-11130))\/(2\/240*1).\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 78839 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 120 and 84.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*z**3 - 111*z**3 - 68*z**3)*(3*z - 3*z - 2*z)*(z + z - z).\nAnswer: 320*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -52388 (base 11) to base 4\nAnswer: -102220212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -4 + -38 + (32 - 50 - (-15 + -5))?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 240.966 minus 305201?\nAnswer: -304960.034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let q = -403 + 863. Let k = q + -450. Solve -k = l - 3*z, 0*l + 5*l + 3*z - 4 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 949 = 4*p + 9. Let o(h) = -2*h**3 + h**2 - 2*h + 6. Let j be o(4). Let b = j + p. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*i**3 - 70554*i**2 - 124425504*i + 74680704.\nAnswer: -2*(i + 3528)**2*(5*i - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*j + 4 - 4)*(-2*j**3 + 4*j**3 - j**3) + (0*j + j**3 + 0*j)*(-5*j + 2 - 2) to o + f*j**2 + l*j**3 + p*j**4 + v*j and give p.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(76)*-4 + sqrt(2736) + 1 + sqrt(19) + 6*sqrt(684)*-3).\nAnswer: -309*sqrt(19) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 - (-1 + 2)*-1. Suppose w - 2 = r*w. Let i = 427\/20 + -113\/5. What is the third smallest value in w, -0.3, i?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(52)\/sqrt(2) + sqrt(26) + 3*sqrt(52)\/sqrt(2))\/(sqrt(32)*3 - (sqrt(64)\/sqrt(4))\/sqrt(8)).\nAnswer: 8*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64589188?\nAnswer: 2, 17, 59, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**2 + 12*v + 5. Let q be o(12). Suppose -4*u = -4*g + 2519992, -4*g + 0*u = -q*u - 2519990. What is g rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*c + 20*c**3 - 2*c**2 - 13*c + 21*c to l + u*c + q*c**3 + z*c**2 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -21*x + 4. Let c be q(-1). Let u(h) = 4*h**3 + h**2 + 2. Let j be u(6). Let f = -627 + j. Calculate the highest common divisor of f and c.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98651 to the power of 1\/2, to the nearest integer?\nAnswer: 314","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3288, 3830, 4744, 6036, 7712, 9778?\nAnswer: 12240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2599, -5166, -7741, -10324, -12915?\n\"Answer: -4*n**2 - 2555*n - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g**2 + 1019*g - 990*g + 5 - 5.\nAnswer: -g**2 + 29*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s + 3. Let r(c) = -151*c + 17. What is -r(f) + 6*v(f)?\nAnswer: 157*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*r**4 - 3*r**2 + 2*r - 12*r**4 + r**3 + 5*r**4 as z + u*r**3 + o*r + h*r**2 + p*r**4 and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-16912)\/224)\/151)\/((-11)\/4).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 - -9. Let s(p) = -p**3 + 2*p**2 + 5*p - 2. Let g be s(m). Let o be (-104)\/(-28) - g\/(-14). Solve r + o = -r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 237575?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 AM and 8:43 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16004, 247, 4.\nAnswer: 4, 247, 16004","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3464, 6623, 9782?\nAnswer: 12941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(95) + (2*sqrt(95) - sqrt(95))))\/(sqrt(80)*1 - sqrt(5))*-6.\nAnswer: 20*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1913*g**3*q**2 - 6*g**3*q + 305*g**2*q**4 - 2*g**2*q + 3*g*q - 8844*g wrt q.\nAnswer: 3826*g**3 + 3660*g**2*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 462841 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1020 - -122103?\nAnswer: 123123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of o**3\/6 + o - 2. Let t(h) be the first derivative of r(h). Let l(p) = -4*p + p + 2*p. Give t(l(i)).\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12) + 1*(sqrt(12) - sqrt(48)))\/sqrt(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -17*v**2 + 2*v + 1. Let f = 9 - 10. Let r be d(f). Calculate the least common multiple of (-32)\/(-18) + (-4)\/r and 7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 f when two letters picked without replacement from {f: 2, l: 3, v: 1, s: 6, z: 1}?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l = -21*l - 8*l. Which is greater: l or -5\/304?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*(v*(v\/(v*(v\/(v*v\/(v*v**(-5)\/v)*v))\/v*v))\/v)\/v*v**(-1\/4))**(-10\/9)\/((v**(2\/3)\/v)\/(v\/(v*v**1))*(v**(-2)*v)**(31\/3)) assuming v is positive.\nAnswer: v**(13\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1613?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(4\/(-5))*-24. Let g = l + -30. What is the units digit of (-4)\/(-5)*g\/4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 2*x**5\/3 + 18852*x**4 - 226244*x**3\/3 + 339376*x**2\/3 - 75418*x + 56564\/3 = 0?\nAnswer: -28282, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 3*j. Let m(s) be the first derivative of 31*s**3\/3 + 51. Determine m(n(k)).\nAnswer: 279*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/50 and 53\/20?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5380\/12 - 4\/(-12)*5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -161, 31, 1.14, -3 in ascending order.\nAnswer: -161, -3, 1.14, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (20\/6)\/(34\/51). Suppose k*m - 609 = 3*z - 7*z, 2*m = 3*z - 451. What is the remainder when z is divided by 38?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1274 a factor of 5885873?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2099311532.\nAnswer: 2, 10687, 49109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19516453 is divided by 32.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/28 and 25\/792036.\nAnswer: 792036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 845 and 11492.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1524409024 to the nearest integer?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -44*y - 635. Calculate the remainder when 280 is divided by z(-15).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - 1bf?\nAnswer: -1c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -91148600, -182297194, -273445788?\n\"Answer: -91148594*g - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 5\/8 of a milligram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/110)\/((363\/(-1210))\/((-6)\/8))\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -0.08, -2\/3, 7, -5, 0.02?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 15\/7, 0.167, -29?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 4*j + 3. Calculate g(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 197 a factor of 260434?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(200\/32))\/(((-204)\/15)\/(-2))?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2194573 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -36, -63, -80, -87, -84, -71?\n\"Answer: 5*c**2 - 42*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of r**3\/3 + 7*r**2\/2 + 6*r + 1. Let b be h(-5). List the prime factors of ((-2)\/b)\/((-4)\/(-24)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 120278.\nAnswer: 2, 60139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.06 * -2078444.\nAnswer: -124706.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -5*d + 4*d - 3*d**2 + 5*d**2 - 1 - 3*d**2. Let q(m) = 44*m - 15*m**2 - 13 + 10*m**2 - 29*m. Let l(n) = -q(n) + u(n). Factor l(o).\nAnswer: 4*(o - 3)*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -930\/551 + 52\/29. Let q be (2152\/52)\/((-6)\/21). Let h = q - -145. Put -0.4, h, i, -2\/7 in descending order.\nAnswer: h, i, -2\/7, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + 3. Suppose 2*h + 3*t - g = 0, -2*h = -t + 8 - 29. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -220*a**2 + 132*a**2 + 51*a**2 + 51*a**2.\nAnswer: 14*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w**3 + 0*w**3 + w**3)*(1 - 5 + 5) + (-4 - 1 + 4)*(0*w - 4*w + 2*w)*(2*w - w - 2*w)*(-45*w + 10 - 10).\nAnswer: 89*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.722 + 3.78. Let d = m - 0.088. Sort -2\/9, d, -3, -5 in decreasing order.\nAnswer: d, -2\/9, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**2 + 2*m**2 - 3*m**2)*(4 - 1 - 2)*(-13 + 13 - 4*m).\nAnswer: 8*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 343 + 2432 = 0. Let c = -25 + q. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 7:25 PM?\nAnswer: 7:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 5065*v - 70900. What is j(14)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that m**5 + 8*m**4 + 17*m**3 + 10*m**2 = 0.\nAnswer: -5, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.2 - 0. Let t = -32.6 - -37. Let f = t - -0.6. What is the closest to -0.1 in f, -4, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 22389, 22472, 22609, 22800, 23045, 23344?\n\"Answer: 27*c**2 + 2*c + 22360","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -4*l + 2. Suppose -3*j + 5*x = 2, -4*j + 4 = 3*x - l. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - -3. Suppose 0 = -5*d - f, -v*d + f + 7 = 3*f. Let r be 2\/d*(-6)\/4. Solve r = -0*p - p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12) - -6*sqrt(12)*-1 - sqrt(300)*-5)\/(sqrt(216)*-3*3).\nAnswer: -10*sqrt(2)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -350, -130, 90, 310, 530?\n\"Answer: 220*o - 570","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20430\/11 + 1856. Find the common denominator of 52\/29 and x.\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -31 + 7 + (13 - 2) + (-29 - -9).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 206 - 613\/3. Let s = 80 - 80.21. What is the third smallest value in 1\/2, l, s?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 833\/35 + ((-24)\/(-50))\/((-210)\/350)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7901 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 + 2*s - 57 + 0*s.\nAnswer: 2*s - 46","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0113661094 rounded to 6 dps?\nAnswer: 0.011366","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 11*a. Let w(i) = -200402*i**2 + 4 - 3 + 200430*i**2. Give w(b(n)).\nAnswer: 3388*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 610 and 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**2\/3 - 2609*h\/3 - 59764.\nAnswer: (h - 2676)*(h + 67)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y + 13. Suppose 0 = 4*r - 20, -r - 9 = -4*q + 2*r. Let m be j(q). Let d = m + -7. Calculate the highest common divisor of d and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes before 3:27 AM?\nAnswer: 1:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 z when three letters picked without replacement from {j: 1, i: 1, c: 3, z: 2, t: 4, a: 4}.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 5, 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -891.2515690803 and -3.\nAnswer: -894.2515690803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17\/65 - -7\/13. Let n(f) be the first derivative of 3 + 3\/5*f**2 - c*f + 2\/3*f**3. Solve n(g) = 0 for g.\nAnswer: -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 55, 101, 133, 151, 155?\n\"Answer: -7*a**2 + 67*a - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -93*b**2 + 1767*b + 18. Calculate r(19).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h, 5*h = -l + 1230 - 156. Let g = l - 41. List the prime factors of g.\nAnswer: 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 798 divide 5769418?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rzr when three letters picked without replacement from {h: 5, q: 1, o: 1, b: 1, r: 2, z: 7}?\nAnswer: 7\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -27 - 1288?\nAnswer: -12b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of -4*r**2 - 1\/3*r**3 - 2 + 7*r. Let k be i(-8). Let d(q) = -q**2 + 6*q. What is d(k)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4\/3, 0.4, 2, 149, -3?\nAnswer: 149","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -200478481 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*n**2 - 34495*n - 4927300 = 0. What is n?\nAnswer: -140, 7039","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -112 by 1.\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9418.715 millennia to years.\nAnswer: 9418715","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -3*g**4\/2 - 3591*g**3 - 1666071*g**2\/2 - 1655304*g - 825858 = 0.\nAnswer: -2134, -258, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -108*y - 1 - 450*y - 735*y - 500*y + 246*y - 8*y.\nAnswer: -1555*y - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 108*l + 108*l - 313*l + 96*l.\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of 23*r**4\/12 - 14*r**3 - 824*r**2. Determine b(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 632 and -0.6.\nAnswer: -379.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 829 is divided by 204?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 + 54. What is the greatest common factor of 195 and k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 194057 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 + 1 = 4*h. Calculate the greatest common factor of h and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 88 and 38159?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 + 249*s**2 + 12602*s + 3063789. What is w(-248)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = n - 34 + 49, -3*n - 5 = 2*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5006956242 to the power of 1\/3, to the nearest integer?\nAnswer: 1711","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(255) - 1*sqrt(255))\/sqrt(5))\/(-1*sqrt(3)*-4) + 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, -4, 2, 1 in decreasing order.\nAnswer: 2, 1, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1049 divided by -1.\nAnswer: -1049","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 3, 0*s - s = 3*r - 4. Let a = -8 - r. Let y(t) = -t - 15. Calculate y(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/39872 and 85\/25632.\nAnswer: 358848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/5 of a day?\nAnswer: 288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (((-4)\/12)\/((-2)\/48))\/2. Let u be ((-2)\/c*2)\/((-1)\/(-3)). Let v(a) = -a**3 - 3*a**2 - a - 2. Calculate v(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9*n**2 - 26*n**2 + 44*n**2)*(4 + n**2 - 4) + n**2 - n**2 + n**4 - 2*n**4 - 2*n**4 + 3*n**4 as j*n**4 + m*n + v*n**3 + z + s*n**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7545 + 13340. What are the prime factors of q?\nAnswer: 5, 19, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -902, -522, 154, 1126, 2394?\nAnswer: 3958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, -3, -2\/23, 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 327*o - 2258 = 3628 for o.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 + 7*l**2 - 6*l + 23. Let w be a(6). Let m(j) = -j**2 + 22*j + 52. What is the tens digit of m(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -145 and -2101 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -3*h - 12. Let y be n(-6). What is the greatest common divisor of 2 and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13522, -54791, -123572, -219865?\nAnswer: -343670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 92 - 91.5. Which is the second smallest value? (a) -13\/5 (b) d (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 31.951 to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3535818, 7071646, 10607474, 14143302, 17679130?\n\"Answer: 3535828*t - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of 0*f**3 - 20 + 3*f**4 + 1\/2*f**2 + 0*f. Find the second derivative of g(p) wrt p.\nAnswer: 72*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 2*w**2. Suppose -4*a = 2*i + 10 + 2, 2*a = 5*i - 18. Let u(c) = c**2 - c**i + c**2. Determine u(m(b)).\nAnswer: 4*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*z**3 + 61 - 61 - 323*z**2 + 10*z**3 - 4*z**3 - 4*z**3.\nAnswer: 13*z**3 - 323*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, -2\/13, -61, 4, -0.05, 1.\nAnswer: -61, -2\/5, -2\/13, -0.05, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 660260?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31860*-5.\nAnswer: 159300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.186904 plus 119147?\nAnswer: 119145.813096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:10 PM and 7:57 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 34451 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from {q: 11, v: 2}?\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2967, 2975, 2985, 2991, 2987?\nAnswer: 2967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*c**3 + 0*c**3 + 6*c**3.\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 527?\nAnswer: 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 8517 bigger than 8518?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 244 and 12078?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 + 3*d**2 + 5*d - 5. Let p be k(4). Let f = 5.39 + -6.39. What is the closest to p in 2\/7, 0.06, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -20 - -18 - (4 + -6 + 2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -93\/244 and 17\/24?\nAnswer: 1464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -139746 + 139749 + o**3 + 2*o - 4*o**3 - 11*o**4 to b + x*o**3 + u*o + k*o**2 + g*o**4 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*v - 85 - 137. Let l = v - -71. Is l a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -53, -103, -237, -497, -925, -1563?\nAnswer: -2453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h + 3. Let o be i(0). Suppose 0 = 3*w - 2 - 4. Differentiate -o*l**2 + l**2 + l**w + 1 wrt l.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2283?\nAnswer: 3, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 203349086 and -0.3.\nAnswer: -61004725.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13008 is divided by 11762.\nAnswer: 1246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dx when two letters picked without replacement from xdxxdddxxddddxxxxdxx?\nAnswer: 99\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - z - 106 = -5*i, 3*i - 4*z - 59 = 0. Let b(r) = -99*r - 9. Let j be b(-2). Calculate the greatest common divisor of i and j.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 191?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4264 + 4268. Solve 2*v - 1 = -3*h + 6*v, 5*h + u*v = 23 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23950632 is divided by 2459?\nAnswer: 2431","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 125147?\nAnswer: 11, 31, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifteen quarters of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2166242321.9 - -116.\nAnswer: -2166242205.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.4 + -1.8. Let u = 9 - 8. Let m = 23 - 24. Which is the third smallest value? (a) u (b) m (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1772211.06 rounded to the nearest 100000?\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are -10.9 and -35645 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 598543?\nAnswer: 11, 54413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 27*y**3 - 3*y**2 + 12*y + 3. Let g(x) = 26*x**3 - 2*x**2 + 13*x + 2. Let u(s) = 3*g(s) - 2*q(s). Find the second derivative of u(o) wrt o.\nAnswer: 144*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 20\/(-6)*97\/(-1940) - (-74)\/(-12). Sort 3, 38, t.\nAnswer: t, 3, 38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -6*(2*sqrt(1331) + -3 + sqrt(1331)))**2*-2.\nAnswer: -863546 + 18216*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 3 t when four letters picked without replacement from {t: 4, p: 1, e: 4, u: 6}.\nAnswer: 16\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1558282205?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -7*z**2. Let i(v) be the second derivative of 1559*v**4\/12 - 7825*v. Determine a(i(s)).\nAnswer: -17013367*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.8, -0.1, 10\/7.\nAnswer: -0.1, 0.8, 10\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 615777 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 160 and 50.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -b - 4 - 0, -16*b - 2*b + 5*b - 52 = -5*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 37, 1, -10, -4 in increasing order.\nAnswer: -10, -4, 1, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.81, 4, 35, -655\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 16 = -4*s, -k = 2*s + 15 - 9. Let i(x) = x**2 + x + 4. Let y be i(0). Sort 0, y, s.\nAnswer: s, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 1114 = 3*c, 3*l + c + c = 1671. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2041\/30 - 401\/6. Determine q, given that 3\/5*q**3 - p*q + 3\/5*q**2 + 0 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1172\/153 and -9 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 33*r + 29. Let k be q(13). Let c = -449 + k. Solve -13*g + c*g = 2*b - 4, 8 = -g - 5*b for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k + 5. Let t(j) = 2*j**2 - 7*j + 5. Let m be 48\/9 - (-2)\/(-6). Let x be t(m). Suppose -7*d - x = -11*d. What is g(d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1702*p**2 - 7*p + 56085?\nAnswer: 3404*p - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-60 + (-132)\/12)*-347 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/17028 and 151\/19866.\nAnswer: 119196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -3*t**3 + 304*t**2 - 1806*t + 88. Give i(95).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/5 (b) 2\/7 (c) -3 (d) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes before 6:05 AM?\nAnswer: 6:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of 70*a**2 - 25*a**5 - 305\/3*a**3 - 20*a - 4 + 145\/2*a**4 + 10\/3*a**6. Determine p so that z(p) = 0.\nAnswer: 1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -37368933 - -0.23?\nAnswer: -37368932.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.0314 and 4894.\nAnswer: 4894.0314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 73 - 45. Let t = 28.0000065 - n. What is t rounded to 6 dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 112, 479, 1472, 3403, 6584, 11327, 17944, 26747?\n\"Answer: 52*s**3 + s**2 + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 4*z + 280 = 6*h, -200 = -3*h - z. Calculate the highest common divisor of h and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17332 + 17346. Solve 0 = -34*s + w*s + 140 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y**4\/5 + 59*y**3\/5 - 3*y**2\/5 - 179*y\/5 - 118\/5 = 0. What is y?\nAnswer: -59, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.2 and -55110348338372.\nAnswer: -55110348338371.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -6*s**3 - 4*s**2 + 2*s + 4. Let d(t) = 17*t**3 + 11*t**2 - 6*t - 11. What is -4*d(f) - 11*j(f)?\nAnswer: -2*f**3 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 33982, 3\/7, 0.5, -1, 0.37 in decreasing order.\nAnswer: 33982, 0.5, 3\/7, 0.37, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of m**4*n - 2*m**4 - 154*m**3*n + 14404*m**2*n wrt m.\nAnswer: 24*m*n - 48*m - 924*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 167080.\nAnswer: 2, 5, 4177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, w: 2, d: 4, z: 8}. What is prob of sequence zww?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -0.1, -2\/11, -8\/5, -1715?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1980 - 1978. Let m(k) be the first derivative of -1\/16*k**s + 0*k**3 + 8 + 1\/32*k**4 + 0*k. Suppose m(n) = 0. Calculate n.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 4*f - 36. What is s(0)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.1489 + 0.7089. Let d = 9.16 - 9. Let x = d - s. What is the nearest to 0.1 in 5, x, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -72*m + 31 - 175. Let s(w) = 4*w**3 + 2*w + 1. Let r be s(-1). What is the units digit of m\/(r\/5) - -166?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -639, -618, -593, -564, -531?\n\"Answer: 2*s**2 + 15*s - 656","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6048*f**5*p - 3*f**4*p - 13287*f**2*p - f**2 - 1 wrt f.\nAnswer: 362880*f**2*p - 72*f*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(133)*-2*4 - (sqrt(133) - (sqrt(133) - 6*1*sqrt(133) - sqrt(133)) - sqrt(133))))\/((sqrt(56)*2)\/(-5*sqrt(8))).\nAnswer: 35*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 31895 - 16178. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 AM and 1:12 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2348 - 11)*(-3 + 4). Let s(u) = 4*u + 1. Let t be s(-2). List the prime factors of 2\/t - (o\/(-7))\/3.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-192)\/(-315) + (-164)\/205*2\/(-28).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.005 + -0.005. Which is the fourth smallest value? (a) 2 (b) y (c) -0.4 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -3 (c) -42\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-3)\/z**1*z**(-1\/4)*z*z**(2\/9)\/z assuming z is positive.\nAnswer: z**(-145\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 253, 1039, 2367, 4255, 6721, 9783?\nAnswer: 13459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -101331.49916 + 101328. Let h = d + 3.5. What is h rounded to 4 decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -3*z**3 - 20*z**2 + 78*z + 370. What is u(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2 - 1. Let o(l) = 3*l**3 + 3*l**2 - 4. Let u(i) = -3*f(i) + o(i). Differentiate u(r) with respect to r.\nAnswer: 9*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -2*r - 5. Let k(z) = z + 1. Suppose -2*q + 2 = -g + 13, 0 = 3*g - q - 38. Suppose -g = 6*s + 5. What is s*k(j) - v(j)?\nAnswer: -j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 21881 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 93 - 92. Put -4, 3, u, -11 in descending order.\nAnswer: 3, u, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 413504.\nAnswer: 2, 7, 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 7*c**2 - 9. Let j(b) = -16*b + 10. Let t(s) = 3*s - 2. Let h(g) = -j(g) - 5*t(g). Determine h(f(x)).\nAnswer: 7*x**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 112212251 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 130076?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -3*g + 17. Let d(p) = 8*p - 37. Give -3*d(i) - 7*z(i).\nAnswer: -3*i - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.5+0.96106110022\nAnswer: 1.46106110022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 13\/11, -1\/4, -1\/6, -2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 146744441 is divided by 10502.\nAnswer: 10497","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -221111100211 (base 3) to base 4.\nAnswer: -1322200321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 87*j**3 + 18*j**2 - 2*j - 2162. Let c(v) = 180*v**3 + 37*v**2 - 5*v - 4326. Let m(p) = -2*c(p) + 5*g(p). Find the first derivative of m(b) wrt b.\nAnswer: 225*b**2 + 32*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, p: 2}. What is prob of picking 3 s?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 2 u when four letters picked without replacement from {d: 2, e: 6, u: 2, m: 3}?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -9849890 take away -2746?\nAnswer: -9847144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b = -b - 525. Suppose -3*c - 2*d - d = -b, -4*c + 138 = 3*d. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/32 of a millimeter?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -105 or -100?\nAnswer: -105","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 764, 1858, 4894, 10844, 20680, 35374, 55898?\nAnswer: 83224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7459456716 - 7459456716 + t - 17*t**2.\nAnswer: -17*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 95*g - 45. Let f(w) = -118*w + 44. Let y(k) = 5*d(k) + 4*f(k). Give y(6).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**2 - 3*l - 2. Let c be b(-2). Let u = c - -9. Suppose 11 = -4*z - u, 4*k + 2*z - 138 = 0. What is k rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = 5*i + 15. Let h = 18 - i. Solve 3*o - h*g = 8*o - 25, 2*o - 5*g + 25 = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 385720 is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 305 and 2440.\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**2 - 9*h - 7. Let u(a) = a**2 - 16*a + 20. Let m be u(14). What is q(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 32? (a) 3 (b) -14 (c) -1 (d) 0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 3 + 7 = 0, 50101 = n - 5*g. List the prime factors of n.\nAnswer: 3, 5569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-7)\/14 - 25\/(-14)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 3*p = 27. Let r(n) = -n**2 - 9*n + 6. Let x be r(p). Let g(q) = q**3 - 6*q**2 + 4*q - 5. Is g(x) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 248 is divided by 15.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(500) - (4 + sqrt(500)*-4) - (-4 + (sqrt(500)*-1)**2))*-4.\nAnswer: -10000 + 1000*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) -0.11 (c) 0.03 (d) 1 (e) -8 (f) -142\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*h - h - 2*h + (12*h - 3*h + h)*(2 - 2 - 9)*(-1 + 1 + 3).\nAnswer: -278*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**5*x**(-4\/7))**(-11\/6) assuming x is positive.\nAnswer: x**(-341\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7114*r - 7056*r = -174 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 3*d = 12. Suppose -11 = x - 4*v, -3*x - 2*v = -v - d. Put x, 5, 4 in descending order.\nAnswer: 5, 4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 6 = -i + o, i + o = -4 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 72 and -15690.6524?\nAnswer: 15762.6524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 5*x - 18, -2*x + 18 = 3*b + 2. Suppose 168*s + 12 = 172*s. Suppose 2*q - b*d = -24, -s*q + d - 76 = q. Is q at least -20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-46)*n**(-49))**(-2\/41) assuming n is positive.\nAnswer: n**(190\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -56 - -15 - (-14 + 2 - 2)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1809?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18 and 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -4*i + 2. Let z(g) = -3*g + 1. Determine 2*c(h) - 5*z(h).\nAnswer: 7*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 31*o - 15*o - 15200. Is o a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = 3*i. Suppose 6 = 2*w - i*w. Suppose -3*a + 92 = w*l - 5*l, 4*l + 4 = 0. Calculate the smallest common multiple of a and 18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 233259?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the third derivative of -x**8\/42 + 3*x**4\/8 + 3*x**2. What is the second derivative of f(b) wrt b?\nAnswer: -160*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 483 + -447. What is the least common multiple of 112 and y?\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 9*i**2 + 1664*i - 6638. Give p(4).\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + d - 31 = 0, -3*z - 23*d - 64 = -4*d + 3 for z.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -2*g**3\/5 + 273248*g**2\/5 - 1256770*g + 27866604\/5 = 0.\nAnswer: 6, 17, 136601","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 318783705.\nAnswer: 3, 5, 21252247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-17) + -37 + 367979\/9911?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*s**4 - 163*s**3 + 458*s**2?\nAnswer: -48*s - 978","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 25 + -17. Solve 2*o = -a, 3*a + 5*o - f = 3*o for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5*(-32)\/72)\/(37\/(-333))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4443 - -163?\nAnswer: -4250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 11134?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 11890\/17931 smaller than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 - 12*z + 17. Let m be g(13). Let b = 15 - m. Let o = 36 + b. Does 7 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 408\/199 + -90953\/39800. Find the common denominator of 1\/400 and y.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 500 and 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 12251801 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 1)*(4 - 3 - 3 + (0 - 2 + 1)*(-3 + 2 + 0))*(-q + 4*q - 5*q).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4461*g**3 + 52*g + 29*g + 52*g - 4458*g**3 to the form j*g**3 + k*g + q + s*g**2 and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 313.87027 to 2 decimal places.\nAnswer: 313.87","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 960 to the power of 1\/2, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, -10, -21, -38?\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**2 - 6*o + 2. Give f(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -0.5 (c) 2 (d) 5652 (e) 36\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 34464734 by -694.\nAnswer: -49661","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-5)\/s*s*(s*s\/(s**1*s))\/s)\/(s**(-8)*s**6) assuming s is positive.\nAnswer: s**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -4*i + 6*i**2 + 0 + 5 + 0. Let a(k) = 5*k**2 - 3*k + 4. Suppose -359*o - 1504 - 1565 = 664*o. Let j = 4 - 0. Calculate j*a(y) + o*v(y).\nAnswer: 2*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -372.65 (c) 93\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*t = -36 - 12. Let o be 0 + 2\/t + (-3056)\/(-48). Let u(m) = m**3 + 6*m**2 - 6*m + 14. Let h be u(-7). Calculate the highest common factor of o and h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, -1\/9, 2, 38\/7 in descending order.\nAnswer: 38\/7, 2, 3\/2, -1\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 192 - 188. Factor -21*w**4 - 15*w**3 - 17*w**n - 20*w**2 + 43*w**4.\nAnswer: 5*w**2*(w - 4)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (82 - 91 - -10) + 17\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 108373 minus 1588?\nAnswer: 106785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 0*p + 7*p = 10800. Is 20 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**2 - 8*b + 5. Let z(g) = -2*g - 6. Let h be z(-6). Give w(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, z: 1, g: 1, n: 2, q: 1, c: 1}. What is prob of picking 1 g and 1 d?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.1 - -4.56. What is the closest to 0 in 3\/8, z, -7?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the third derivative of n**5\/30 - n**4\/8 - 115*n**3\/6 - 169*n**2. Is m(15) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times -11\nAnswer: 1.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 4, c: 1, m: 4, j: 7, l: 3}. What is prob of sequence lgmm?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(700)*-1)**2.\nAnswer: -40*sqrt(7) + 704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.07 - -3.93. Let d be (22 - -8)*(-3)\/(-18). Sort d, l, 0.\nAnswer: 0, l, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**2 - 9*p. Let l(h) be the third derivative of -3*h**5\/20 - h**2. Let m be l(-1). Let v be c(m). Solve v = j + 3*o - 5, 0*j + j = -o + 5 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 901*s - 854*s**2 + 905*s - 1806*s.\nAnswer: -854*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 48 - 56\/8 - 8. Solve -c = -3*o - 24 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 8, -2955 = -4*l + 2*r + 1009. What are the prime factors of l?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 594637.3 milligrams in grams?\nAnswer: 594.6373","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 508362 is divided by 8348?\nAnswer: 7482","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 81 and 2187?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 9 = -x. Suppose -6*b = -3*b - 15. Let k(v) = v**3 - 6*v**2 + 6*v - 7. Let a be k(b). What is the second biggest value in a, -4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -2*w**3 - 4*w + 3 + 3*w**3 + 0*w**2 - w**2 + 0*w**2. Let v = 4 + -6. Let s be 1 - 4\/v - 1. Calculate d(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15388, -30792, -46232, -61726, -77292, -92948, -108712?\nAnswer: -124602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yllllyyylyyy. What is prob of picking 1 l and 1 y?\nAnswer: 35\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 0.2018 (b) 2 (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(77)\/(sqrt(7) - -1*sqrt(14)\/sqrt(2)) - ((sqrt(891) - 4*sqrt(891)) + sqrt(11) + sqrt(44)\/sqrt(4) + -3).\nAnswer: 3 + 55*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -180, -695, -1700, -3369, -5876, -9395, -14100?\nAnswer: -20165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyy. Give prob of picking 2 y.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 - 17*d + 20. Let x be b(9). Let m = 781\/15 + x. Which is greater: 1 or m?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -2, -4*d + 5 = 5*x - 6*x. Suppose -x*y - 30 = -114. Calculate the remainder when y is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 g, and 1 q when three letters picked without replacement from gqtugpmt.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 2\/21 (b) -0.08 (c) 3 (d) -308 (e) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2\/7 (b) -5 (c) -2\/23 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of 0*p**2 + 1\/80*p**5 + 0 - 16*p + 1\/24*p**3 + 1\/24*p**4. Find u such that r(u) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2ba9 + 43?\nAnswer: 2c0c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50768*o + 50768*o - 102*o**2.\nAnswer: -102*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*g**5 + 80*g**4 + 105*g**3 - 320*g**2 - 340*g = 0. Calculate g.\nAnswer: -2, -1, 0, 2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(56)\/sqrt(8) + 1)**2 - (6*-6*sqrt(112))**2.\nAnswer: -145039 - 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2763 (base 13) to base 7.\nAnswer: -22332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bwvvvbbbb. Give prob of picking 1 w and 2 v.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1058793 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.62 + -2.48. Let i = 21 + -21.1. Let l = o - i. Which is the biggest value? (a) l (b) -0.5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqltqtddqvvtqtvdtjqd. Give prob of sequence qt.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 2 b when four letters picked without replacement from wwbwwwwbbbwb?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5\/6 (b) 0.5 (c) 4\/7 (d) 18796\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.01, 1, -1.2, 0?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -25*o + 2. Let d be q(-3). Let s = 109 - 98. What is the greatest common factor of d and s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 18756751?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -113 + 91?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-22)\/(-6))\/(-11)*0. Suppose -23*x + 26*x - 9 = a. Calculate the least common multiple of 12 and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16165, -16419, -16665, -16897, -17109, -17295, -17449?\nAnswer: -17565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 67 + 19. Let h(w) = 0*w**3 + 7*w**2 - w + w**3 + 0*w**3 - 4. Let m be h(-7). Solve 4*g + p - 36 = -4*p, -g - m*p = -r for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of ((-4)\/(-3)*8741)\/((-192)\/(-864))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*u + 4*u + 0*u + 0*u in the form k*u + b and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 1 + 354*k - 352*k + 0*k - 2*k + k + (3*k - 2*k - 2*k)*(-1 - 2 + 1) + 2*k - 2 + 2.\nAnswer: 5*k + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 1 = 7. Let b(n) = -6*n - 13. Let f(c) = 2*c + 4. Let r(q) = w*b(q) + 7*f(q). Differentiate r(d) wrt d.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of -l**6\/360 - l**5\/120 - 8*l**3\/3 + 5. Let k(n) be the third derivative of u(n). Let k(a) = 0. What is a?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -199 = -z - 1. Suppose z = 6*p - 150. What are the prime factors of p?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1\/33)\/k)\/k*k**(-4\/5)\/k*k)\/(k*k\/k**(-9)*k*k**9*k) assuming k is positive.\nAnswer: k**(-4097\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*n**2 + 2*n**3 + 70*n**2 - 37*n**2.\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -712 = -2*v + 3*w, 5*w = 9*w - 16. What are the prime factors of v?\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/o**3*o**(-7))\/(o\/(o\/o**1*o))**30 assuming o is positive.\nAnswer: o**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -7 + 6 + -2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -4*y**2 - 216*y + 76. Is h(-49) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/56 of a week in seconds?\nAnswer: 32400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vfkv when four letters picked without replacement from vfdhphpddvfkvv.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 23 + -34?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3958152643 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 0) + (-1 - (4 - 6)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1164, 4499, 10072, 17895, 27980, 40339, 54984, 71927?\n\"Answer: 2*t**3 + 1107*t**2 + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -124*k + 604. Let p be g(5). Sort 2, p, 14 in descending order.\nAnswer: 14, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8 - 4 - 8 - 164. Let d be v\/(-72) - 1\/3. Is 15\/19 at most d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -23*y + 4. Let n be w(-13). Suppose -4*x + n - 39 = 0. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 6. Let r be (-5)\/(-50)*18*(-6)\/((-504)\/100). Is r <= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -6*g + 153. Determine f(16).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 5*d + 4*t, 3*t + 376 - 382 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 4*h - 20, -2*w - 3*h = -52. Let p = 48 - w. What are the prime factors of p?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*z = 19*z + 16. Solve 0*h - 8 = -z*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 3*p**2 - 11*p + 306. Let c = 60 - 87. Let n(d) = 39*d**2 - 141*d + 3975. Let s(t) = c*z(t) + 2*n(t). Differentiate s(r) with respect to r.\nAnswer: -6*r + 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002043977 rounded to 5 dps?\nAnswer: 0.00204","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -192133.7 - -229237. Round f to the nearest 100.\nAnswer: 37100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (479888*v - 479888*v - 6 + 979*v**2)*(2*v**2 - 6*v**2 + 3*v**2) to z*v**2 + u*v**3 + i + l*v + j*v**4 and give j.\nAnswer: -979","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 398 and 19991739?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1203 - 744 + 3869 + 1368)*(n**2 + 7*n**2 - 2*n**2) to the form y*n + h + o*n**2 and give o.\nAnswer: 34176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -789 + 3011. What is the hundreds digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 519119 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-72)\/100*4\/8)\/((-42)\/(-70))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 550 to the power of 1\/2, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*m**3 + 2109*m**2 - 28*m**3 - 710*m**2 - 703*m**2 - 697*m**2.\nAnswer: -19*m**3 - m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*x - 2172 = -804. Let k(j) = -3*j**2 + 11*j + 9. Let w be k(4). Solve -w*r - u = -0*u + x, 4 = -3*r + 2*u for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than 2\/7511?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0039738 to 4 dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 2*u**2 + 58*u + 307. Let n be a(-7). Which is smaller: -17\/142 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-14) + 0\/(-4)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 1290?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/t**(-14)*t*t**(2\/53)\/t)**(-2\/63))**(-2\/63))**(-4\/15) assuming t is positive.\nAnswer: t**(-12752\/3155355)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w**2\/2 - 3276*w + 3433509\/2 = 0.\nAnswer: 873, 1311","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the third derivative of -j**6\/120 - j**5\/20 - j**4\/24 - j**3\/2 - 7*j**2. Let r be u(-2). Let t = 9 + r. Solve 3*s - t = s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68 = -25*i - 9*i - 102 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 10820292 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4.17 and 296.\nAnswer: -1234.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyylllqlqyllq. Give prob of sequence ly.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 385973729 to the nearest integer?\nAnswer: 19646","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (132\/10)\/(16\/15) and (3094\/98 - 18)\/2?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 62*j*n**2 + j*p + 3688*n**2*p + 18*n**2 + 57908*n*p - 773*p wrt n?\nAnswer: 124*j + 7376*p + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 750 = 5*f, -6*h + 4*h + 610 = 4*f. What is the remainder when f is divided by 42?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -4*i**3 - 8*i**2 + 9*i + 27. Is 59 a factor of r(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 24 - 25. Let m = 0.05 - 2.05. Let i = m - -2.1. What is the closest to 1 in j, -0.1, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 AM and 9:26 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 141\/(-45) + 3 - 0. Let i = -0.601 - -4.601. Which is the third smallest value? (a) i (b) d (c) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4693634?\nAnswer: 2, 11, 191, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 34\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 38\/76*6912\/((-312)\/(-13))?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**9*o)**(-18)*o**(-21)*o**15\/o*o assuming o is positive.\nAnswer: o**(-186)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 127 - 11*n**2 - 3*n**2 + 12*n**2 to the form w*n + z*n**2 + i and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l - 44. Determine b(-3).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3296 = -14*k - 6*k + 524. Calculate the remainder when k is divided by 135.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1759608\/7 + 251863. Let t = w + -488. Calculate the common denominator of t and 3\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -6 + 22 - 4*k + 3 - 4*k**2 - 8 + k**3 - 8. Suppose 0 = 4*a - 12 - 0. Suppose 3*n + 22 = 5*j, n + 14 = 6*j - a*j. What is u(j)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -682066 (base 9) to base 16\nAnswer: -63aec","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -3*n**2. Let w(j) = -287251*j. Calculate x(w(k)).\nAnswer: -247539411003*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) -3\/8 (c) 0.4 (d) -0.241325\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 186209671 to the power of 1\/2, to the nearest integer?\nAnswer: 13646","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + p = 0. Let l = 5 + p. Suppose l*k - 9872 = v - 29871, -2*k + 3*v - 7997 = 0. What is k rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -87 or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j + 2*j - 2*j)*(0 + 0 - j) + 4*j**2 + 2*j**2 - 5*j**2 - 1 + 3*j**2 + 1.\nAnswer: 5*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 11737574 to the power of 1\/2, to the nearest integer?\nAnswer: 3426","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 75162133 to the power of 1\/2, to the nearest integer?\nAnswer: 8670","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 AM and 5:39 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -17*k + 9086. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 220 = -3*p - 662. Let u = p + 312. Solve 21*n = u*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 50*a**3 + 3*a**2 - 2*a + 5. Let j(k) = 0 + 2*k - 2 - k**2 - 6*k + 3*k. Let f(n) = -3*j(n) - y(n). Find the second derivative of f(d) wrt d.\nAnswer: -300*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 76 - 51. Let i = 6 - 3. Suppose -3*q = 2*z - 0*z - 9, -i*q = -5*z + 12. Solve 4*c - 4*k = -c + g, 0 = z*c + 5*k + 22 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -793403 - -122183065\/154. Let p = -2\/77 + k. Calculate the common denominator of -51\/2 and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 422*w - 97*w - 102*w - 158*w - 77*w.\nAnswer: -12*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.16 + -0.2079.\nAnswer: 1.9521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v**(-11)\/v*v*v*v*v**(2\/5)*(v*v\/(((v**(-8)*v)\/v)\/v)*v*v)\/v**0 assuming v is positive.\nAnswer: v**(27\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -288 + -d1?\nAnswer: -369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of -o**8\/112 + 2*o**5\/15 - 2*o**2. Find the third derivative of n(x) wrt x.\nAnswer: -180*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 76 = 74*u - 71*u, 0 = -5*y - 5*u + 340. What is the lowest common multiple of 20 and y?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + o = -2*x, 0 = -5*o. Suppose -k = x, -k - 12 = -3*g - 6*k. What is the units digit of 3 + 3 + 0\/g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -14 + (-6 - 20\/(-1)). Factor 1\/7 - 1\/7*m**2 + t*m.\nAnswer: -(m - 1)*(m + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 0*j - 2*j - 10, 4*i + j - 20 = 0. Let p be (-518)\/(-148) + (-1)\/2*1. Solve 5*u + 12 = u, i*m = -p*u - 29 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2441, -1, -5, 0, -4 in descending order.\nAnswer: 2441, 0, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is eight thirds of a millennium in months?\nAnswer: 32000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2207 - 2207.8. Put -2\/7, 4, q in decreasing order.\nAnswer: 4, -2\/7, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -10*y + 711. Calculate t(64).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26236?\nAnswer: 2, 7, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -7849, -7845, -7837, -7825, -7809, -7789?\n\"Answer: 2*y**2 - 2*y - 7849","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.6686 rounded to 1 dp?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 15*v. Let c(m) = 17*m - 198. Let q(x) = 99. Let l(d) = -3*c(d) - 6*q(d). Determine f(l(n)).\nAnswer: -765*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 230 is divided by 57?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*g - 2*l - 3*l, -l + 2 = 5*g. Suppose g = 4*z - z - 6, -4*w - 4*z - 12 = 0. Let t(o) = -o - 3. Let n be t(-3). Put -3, n, w in ascending order.\nAnswer: w, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 4*z + 86. Let f be t(-8). Is 80982\/f - (1 + (-2)\/6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 + 3 + -10 + -1 + (-2 - -1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffsifiysfsisssi. What is prob of picking 1 i and 1 s?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 4*s - 20 = 0, -2*d - 5*s - 26 + 1 = 0. Suppose 5*q - 10 - 15 = d. Suppose q*y = y + 32. Calculate the highest common divisor of 64 and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -593 + 143 = 45*i + 630 for i.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*b = f - 39, 20*b + 26 = 4*f - 102 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(-9) + (-25)\/3. Let s(p) = -p**3 - 8*p**2 + 5. Let o be s(r). Suppose o*w + 82 = 207. Solve -z - 4*z = -w for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/5 - 123\/(-5). Calculate the greatest common factor of 60 and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -230559, -461448, -692337?\nAnswer: -923226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1813622660 a multiple of 553?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*z**2 + 25177 - 25177.\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6 and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49075?\nAnswer: 5, 13, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/(r*r**(-16)))\/(r\/(r**(-2\/7)\/r)) assuming r is positive.\nAnswer: r**(103\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 24 = -2*h - 7*l + 3*l, 2*l - 6 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -29090 by 5.\nAnswer: -5818","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 - 30 = 8*q. Suppose -5*w = 4*d - q*d - 3393, 2*w = -2*d + 1362. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2524200 divided by -5.\nAnswer: 504840","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00982657789 - -43.2?\nAnswer: 43.20982657789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -4*h - 1. Put h, 2, 20 in decreasing order.\nAnswer: 20, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * -336.\nAnswer: 33.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**3 + 0*b**3 - 4*b**3)*(-b**2 + b**2 - 27*b**2).\nAnswer: 54*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -44 and 6.9592323?\nAnswer: 50.9592323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, 1, -18, 105, 0.05, 25, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4 + -1 + 35 + -1 is divided by 21?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*u + 2*u. Suppose 2*h + 4 = -u*h. Is 19\/((h + 2)\/1) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -2*n**3 - 6*n**2 - 4*n + 1. Let g = 4 - 8. What is the remainder when a(g) is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + 4*i + 6, 2*r - 5*i = 5*r - 10. Let o = r - 6. Suppose -2*g = -o*c - 2, -5*g - c + 0*c + 60 = 0. What is the remainder when g is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 2*q**2 - 4*q**2 - 3*q + q**2 - 2. Let k be w(-2). Suppose k*b + 26 = b. Does 9 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 220154825 a multiple of 4568?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -2*p**3 - 24*p**2 + 28*p + 39. Suppose -16*k + 100 = -21*k - v, 5*k + 5*v = -100. Is a(k) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1583?\nAnswer: 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 2*a + 5 = 1, 0 = 4*o - 4*a - 24. Suppose o = -2*h + 20. Calculate the remainder when h is divided by (-178)\/89 + (1 - -5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the third derivative of -p**10\/831600 - p**9\/110880 - p**5\/20 + 17*p**3\/6 + 197*p**2. Let b(k) be the third derivative of a(k). Factor b(v).\nAnswer: -2*v**3*(v + 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 16, 0 = 2*k + 5*g - 3*g - 14. Let 3*q**k + 311*q**2 + 34 - 273*q**2 - q**3 - 4*q**3 - 70*q = 0. What is q?\nAnswer: 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 5 and 1160\/231 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*(f*f**0)\/f*f*f))**(-29)\/(f**(-8)\/f**(2\/7)) assuming f is positive.\nAnswer: f**(464\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.63 + 0.17. Let i = u - 1.799888. Round i to five decimal places.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f + 2*f. Which is bigger: f or 6\/13?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -6*i**3 - i**2 - i - 2. Let s(u) = u**3 + 3*u**2 - 2*u + 14. What is the lowest common multiple of c(-2) and s(-3)?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -125*b + 108*b - 70 + 325 = 0 for b.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 58543 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 91081 a multiple of 349?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4 + (-11)\/(33\/(-60)). Suppose -x + 20 - o = 0. Suppose -3*b = 2*j - 301, 5*b - 613 = -x*j - 110. Does 21 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -593321 (b) -4\/7 (c) -23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 76405, 76401, 76397, 76393?\nAnswer: 76389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 50*(12\/(-8) + 2). Let l be (16\/10)\/((-4)\/(-400)). Let n be ((-9)\/12)\/((-24)\/l). Calculate the greatest common factor of n and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*2\/4*20\/10.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 PM and 7:39 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -599 - -585 - ((1 - 5) + (4 - 8)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 120005437 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p + 5*p - p)*(-472*p + 95530 - 15706*p - 95530)*(2*p - 3 + 3).\nAnswer: -64712*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 11*i - 4. Let n be 10\/(1\/((-9)\/(-2))). Suppose z = 5*l - 4*z - n, 2*l = -4*z - 12. What is the smallest common multiple of l and w(4)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13578135 to the nearest integer?\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*t**2 + 7*t**3 + 2*t**3 + 7*t**2.\nAnswer: 9*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 6) in base 14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 1, -2, 14494.\nAnswer: -9, -2, 1, 14494","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/10 of a kilometer?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2 + 152624*c + 16200616.\nAnswer: -2*(c - 76418)*(c + 106)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -39\/163 - -677\/1467. Which is the second biggest value? (a) -2.7 (b) g (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(17) + (2*sqrt(85))\/sqrt(5))*-6 - (1 + -1*(sqrt(1700) + 1)))**2.\nAnswer: 163268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*q**3 + 157*q**2 - 22*q**3 + 15*q**3 - 34*q**2.\nAnswer: 3*q**3 + 123*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 83*j**4 + 104*j**2 - 12*j + 5218333 wrt j.\nAnswer: 332*j**3 + 208*j - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uqquuqvuvquuvuuu. What is prob of picking 4 u?\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17527 by 1.\nAnswer: -17527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**2 + 10*w - 20. Let u be i(2). Solve 5*v - 5*g = 5, 5 = v - u*v - g for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three fifths of a millennium?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 32149546*c*t**3 + c*t**2 + 271*c*t + 2043*c wrt t?\nAnswer: 192897276*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -18*o + 281. What are the prime factors of b(-11)?\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p + 2*p - p)*(-4*p**2 + 2 - 2) - 5*p**2 - 65400*p**3 + 65037*p**3 + 6*p**2.\nAnswer: -367*p**3 + p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 20313 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 - (3\/2)\/((-10)\/(-4)). Let w = 703 + -3513\/5. Determine v, given that 4\/5*v**4 - 6\/5*v**3 - w - r*v**2 + 6\/5*v = 0.\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g + 1. Let m(w) = 44*w + 5 + 42*w - 79*w. Let b(o) = 6*a(o) - m(o). Let h(v) = -v**3 - 8*v**2 - 13*v - 11. Let u be h(-6). Give b(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 13.49422008 from 0.3.\nAnswer: -13.19422008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 - 26*x - 69. Give j(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/9*3 - 2. Suppose -o - o - 8 = c. Let w(x) = -3. Let p(s) = -1. Let d(v) = 4*p(v) - w(v). Let h(l) = l - 1. Calculate o*d(z) + 2*h(z).\nAnswer: 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f - 6 + 102 = 0. Let y(b) be the second derivative of 3*b**3\/2 - 7*b**2\/2 - b. Calculate the remainder when y(6) is divided by f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 14 - 304?\nAnswer: -260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 + 2*a - 29. Let r be u(13). Let m = 831 - r. Suppose 6*x - 301 = m. List the prime factors of x.\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -592410 divided by 2015\nAnswer: -294","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the second derivative of -1\/8*z**7 + 0 + 0*z**2 - 41\/120*z**6 + 37*z + 5\/48*z**4 + 1\/12*z**3 - 17\/80*z**5. Suppose q(r) = 0. What is r?\nAnswer: -1, -2\/7, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*h - 4. Suppose -4*n = n. Let j(s) = -s + 12 - 7 - s**h + 5*s**2 + n*s. What is j(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -347\/60904 + 2\/7613. Let d = -2213\/920 - k. What is the common denominator of 2 and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 - 2) + ((-57)\/9)\/(-19). Factor 2\/3*c**2 + o + 1\/6*c**3 + 5\/6*c.\nAnswer: (c + 1)**2*(c + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - d**2 + 0 + (4 - 3 + 0)*(58*d**2 - 66*d**2 + 249*d**2) as g*d**2 + c*d + n and give g.\nAnswer: 240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (456\/(-171))\/((-31)\/(25110\/40))?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.3 (b) -58 (c) -2\/7041\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4566356486 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 2, -2*y + 1 = -a - 5*y. Factor -a*d**2 + 35*d - 2*d**3 - 8 - 35*d + 11*d**2.\nAnswer: -2*(d - 2)**2*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 25 = 2*j - 7*j, 5*j - 21 = -4*k. Let g(s) = s**2 + 9*s - 20. Suppose 0 = -5*p - 2*p - 77. Let d be g(p). Solve 2*n = -d + k for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and -0.0649.\nAnswer: 0.0649","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1713*y**2 - 75*y**2 - 1770*y**2.\nAnswer: -132*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i and 1 v when four letters picked without replacement from siivsdvsvsvvvsvivv?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 265, 254, 241, 232, 233, 250, 289, 356?\n\"Answer: o**3 - 7*o**2 + 3*o + 268","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -187310.029765 and -5.\nAnswer: -187315.029765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n - 2*n + 2*n)*(-18*n - 11*n + 51*n) - 7439 + 7439 + 306*n**2.\nAnswer: 350*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144*o - 363 = -685 - 974. Solve -4*b + o = 3*z - 8, 5*z = -5*b + 20 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 34 - -1241343?\nAnswer: 1241432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(891)*1 - -6*(sqrt(891) + -1 + sqrt(891)))**2.\nAnswer: -1170*sqrt(11) + 150604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(((-45)\/(-3))\/(-15))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (2 - 0 - (42 + -41)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2199.\nAnswer: 3, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-224)*8)\/((-18)\/(-576*4))?\nAnswer: -64\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 6 = -g. Let r = 16.4 + -2.4. Let l = 9 - r. Sort l, 6, g in descending order.\nAnswer: 6, g, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -844*l + 16674 + 1894 for l.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/(-3))\/(2\/(-6)). Let j be ((-104)\/14)\/4 - r. Suppose -9*i + 4*i = -3*w + 4, -i - 10 = 4*w. What is the closest to i in -2, j, 2\/11?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/531849 bigger than 179?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34412*f**2 - 5141*f**2 - 214153*f**2.\nAnswer: -253706*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:10 PM and 1:29 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 + 4. Let q = -31 + 32. Let w be (9 + -8)\/(q + 4\/(-3)). What is m(w)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -111002110 + 0?\nAnswer: -111002110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.35 - 0.05. Let b = -0.333 - -0.233. What is the second biggest value in 4\/5, h, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000183915 rounded to 5 dps?\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 6, g: 2, y: 4, x: 4, t: 4}. Give prob of sequence xytt.\nAnswer: 8\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 900\/7 - 128. Find z such that 0*z + 2\/7*z**3 + 0 - t*z**2 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -6*q**2 - 2*q + 10. Let w(p) = -7*p**2 - 2*p + 6 - 4*p + 3*p + 5. Let b(k) = 5*f(k) - 4*w(k). What is the second derivative of b(a) wrt a?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**2 + 7460320*l + 3478523406400.\nAnswer: 4*(l + 932540)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4623 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*v - 60 + 98 + 162 for v.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r + r + 6*r + (2 - 2 + r)*(2 + 0 + 0) + 2*r - r + 4*r)*(1 + 0 + 0 + 10 + 12 - 24 - 2 + 3 - 2 + (0 - 4 + 3)*(-1 + 1 - 1)).\nAnswer: -11*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 2*x**5\/13 - 34*x**4\/13 + 98*x**3\/13 + 114*x**2\/13 - 36*x = 0.\nAnswer: -2, 0, 3, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.02506 in -0.3, -3\/5, -1\/3, 2\/7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -138*r + 1 = -131*r + 8 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 11623625 (base 7) to base 4\nAnswer: 3333321302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 892294517?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 35818339 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*l + 57 - 39. Let y(o) be the second derivative of 4*o + 0 + 1\/2*o**l + 0*o**2. Let c(j) = -j. Determine c(y(v)).\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 269*b + 702. Let f be u(7). Calculate the greatest common factor of f and 423.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 615 - 356. Let f = 257 - r. What is the third biggest value in f, -8, 2\/3, -1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 690*x + 732*x - 248*x - 214*x.\nAnswer: 960*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (7 - 3)\/1*30\/540\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20 - -19. Suppose 4*t - r + 83 = 187, -52 = -2*t - 2*r. Calculate the greatest common divisor of y and t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4549 is divided by 1804.\nAnswer: 941","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 6 - 2. Let z(d) = -f*d**2 - 40*d + 40*d. Let o(a) = 2*a. Calculate z(o(h)).\nAnswer: -8*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 - 3 = 4*i + 3*h, 5*i + 2*h = 14. Suppose 5 = -i*q + 3*o + 4104, 4*q - 4096 = 4*o. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1137 a factor of 110260575?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/3 (b) 7 (c) 1\/2 (d) -22 (e) 4\/5 (f) 10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -169 - -171. Solve b*w + w = -3*k + 15, 0 = -2*w for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 2 = 4*j - 8, -5*j + 15 = 0. Solve -3*o - 4 = -5*k, -5 + 1 = o - u*k for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -105.3 - -42. Let o = 63 + h. Sort 1\/3, 4\/3, o, 2 in increasing order.\nAnswer: o, 1\/3, 4\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 c when three letters picked without replacement from cojcjoco?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 39490 * 39\nAnswer: 1540110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2560 divided by 32.\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 671982675?\nAnswer: 3, 5, 7, 13, 98459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fss when three letters picked without replacement from ffuusuufsuufufsus?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -6465?\nAnswer: -6465","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -111, -321, -869, -1923, -3651, -6221?\n\"Answer: -28*u**3 - u**2 - 11*u - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:12 AM and 11:17 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 35229.66467224 from -0.3.\nAnswer: -35229.96467224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70139 = 765*v - 136694 for v.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 4*f = -7, 3*f - 19 = 22*y - 27*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the third derivative of a**6\/6 - a**5\/60 + a**4\/24 - a**3\/6 - 83*a**2 - a. What is j(1)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 409120?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are -7455 and -77 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.4 (b) -1 (c) 2 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 - 6*g**2 - g - 26. Let a be c(-6). Let o be (-33)\/(-6)*4*-1. Let x = a - o. Solve y - x = -0*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -9494, -10280, -11066, -11852?\n\"Answer: -786*u - 8708","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(896)\/sqrt(7) + -5 + (sqrt(512) - (sqrt(512)*1*1 - sqrt(512))))*-1.\nAnswer: -24*sqrt(2) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + 8. Let g be (8\/2)\/(-2) - 4. Let r = f + g. What is the greatest common factor of r and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 53, -97, 567, 3, 1, 2 in descending order.\nAnswer: 567, 53, 3, 2, 1, -97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - 296a1aa1?\nAnswer: -296a1a97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2061215.\nAnswer: 5, 13, 19, 1669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 86071.823 - 86729.4. Let b = q - -659. What is b rounded to 1 decimal place?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 334404301 (base 6) in base 16?\nAnswer: 5d09cd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*s + 4*a - 122, 381 = -149*s + 151*s + 13*a for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 3*q = -10. Suppose l - 15 = -q. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 821 - 667. Calculate the lowest common multiple of g and 28.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -37, -105, -283, -625, -1185?\n\"Answer: -9*h**3 - h**2 - 2*h - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.45787 - 0.04213. What is the third biggest value in 1\/2, 2.76, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28 is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1679550 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the second derivative of n**7\/189 - 4*n**6\/135 + n**5\/18 - n**4\/27 + 37*n. Solve j(z) = 0 for z.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03289 plus -0.42?\nAnswer: -0.38711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - 2575?\nAnswer: -2578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 171.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 60134359 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 99*g**2 + 147*g. Let i be y(-5). Calculate the greatest common factor of i and 60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/4 in 1, -35, 0.2, 0.002?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -302.\nAnswer: -1\/151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2038, 4562, 7328, 10336?\nAnswer: 13586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 82778322?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -148555 divided by 29711.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmm when three letters picked without replacement from {m: 4, j: 3}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 2*a + 1 = a, 29 = 5*f + 2*a for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -41, -143, -299, -497, -725, -971, -1223, -1469?\nAnswer: -1697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*h - 5*i - 8, -3*i = 25*h - 21*h - 16 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a1730 (base 14) to base 5.\nAnswer: 214114032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 + 10*f. Let u = -30 + 42. Let o = 2 - u. Let b be i(o). Solve -2*l + 3*l + 3 = b for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 j when two letters picked without replacement from ajjaaaaaaaaaajaaaj?\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/(-6))\/((-2)\/(-3)). Let o = l - 2. Let b = 0 - o. What are the prime factors of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 803, 2, 5, 62 in ascending order.\nAnswer: 2, 5, 62, 803","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kyo when three letters picked without replacement from wyookyykkkywykw.\nAnswer: 5\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrrrrwwwrrrrrrr. What is prob of picking 1 r and 1 w?\nAnswer: 13\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6982*d**2 + 1385*d**2 + 1382*d**2 + 1408*d**2 + 1390*d**2 + 1382*d**2.\nAnswer: -35*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.06, 1\/4, 0.1, 0, 4\/41, -90?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (132*f - 149 + 88 - 129*f)*(0 - 1 + 2) to p + o*f and give p.\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -135*p + 1068*p - 282*p to m + x*p and give x.\nAnswer: 651","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1277 is divided by 142?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**2. Let g(j) = 104*j**2 - 6*j - 3. Give g(h(o)).\nAnswer: 104*o**4 - 6*o**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q + 3*q - q)*(-2*q**2 - 6*q**3 + 2*q**2).\nAnswer: -24*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 - 13*v**2 + 42*v - 24. Let p be r(-16). Suppose 0 = -4*n - 2*n + 576. Calculate the highest common divisor of p and n.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**3 - 5*a**2 + 9. Let p be ((-3)\/6)\/((-6)\/36). Suppose 2*j + p*j - 2*t = 83, 4 = -t. What is the remainder when j is divided by c(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/8*20\/2. Put 3, -5, v in descending order.\nAnswer: v, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4016794 and 1887.\nAnswer: 629","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3613 - -3705. What is the greatest common factor of 69 and s?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 60 = -2*x. Suppose -2*w = 5*i - 6 - 1, 0 = -3*w + 2*i - 37. Let h = x + w. What is the greatest common divisor of h and 88?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -841, 72\/5, 0.2, -9 in increasing order.\nAnswer: -841, -9, -3, 0.2, 72\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00052656 to 6 decimal places.\nAnswer: -0.000527","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhp when three letters picked without replacement from {h: 10, p: 10}.\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 + 14*y)*(0*y + y + y).\nAnswer: 28*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 2*r - 11 = -4*m, -29 = 4*m + 5*r. Are m and -39 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/2 + 338\/4 + 1. Is (u - 10)\/((-3)\/(-4)) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 2*l + 51 = -5*l, 5*m + 4*l - 37 = 0. Suppose -13 = -i + m. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 78\/(-9269)*23*(-2)\/(-6).\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(7200) - (sqrt(7200)*1 - sqrt(7200))) - ((sqrt(7200) - sqrt(7200)*-2*-2) + sqrt(7200)))\/(4*sqrt(10)*-1 - 3*sqrt(10)*-4)*-6.\nAnswer: 27*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 1620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 1\/7, -1\/3, -4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*p + 32*p + 35*p = 51 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 6, 45, 106, 201, 342, 541?\n\"Answer: 2*i**3 - i**2 + 28*i - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2 - 6*o + 4. Let q be l(-6). Let v be 19 + 4\/q + 0. Suppose c = -z - 0 + 7, 2*z = -4*c + v. Solve z*k + 20 = -0*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01605477 to three dps.\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -1 - 2 - ((-2 - -7) + -1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 6, j: 7}. Give prob of picking 2 j and 1 i.\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a gram in milligrams?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 269 - 268.8. Suppose -2*y + 15 = 5. Which is the third biggest value? (a) g (b) 10 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) 79 (c) -2\/13 (d) 5 (e) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 355052569 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 3*f, 0 = -9*j + 4*j - 3*f + 840. What is the least common multiple of 57 and j?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10541161 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 + 25*n**2 - 83*n - 25. Let o be a(21). Sort o, 14, 0 in descending order.\nAnswer: 14, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -10*p + 85. Let l be m(9). Which is the nearest to 4? (a) l (b) -0.4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1902*i + 2*i**2 + 956*i + 949*i.\nAnswer: 2*i**2 + 3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -14? (a) -3 (b) 1 (c) 5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 4*r + 11. Let l be a(8). Suppose -291 = -5*v + 304. Let d = v - l. What are the prime factors of d?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + -1)\/(-10*(-21)\/210)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*r**3 - 121754*r**2 + 1367592 wrt r?\nAnswer: -12*r**2 - 243508*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 + 4 + 20*p**2 + 2 as i*p + a*p**2 + r and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -26 + 28. Suppose -5*c - d = -7*c. What is the remainder when 32 is divided by (414\/(-115))\/(c\/(-5))?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -40 (c) 17.72\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 395 divided by -79?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 13672066193 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 790 - 7126\/9. Let x = 4173\/11 + -379. What is the common denominator of w and x?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0.73, 4, 3\/2 in decreasing order.\nAnswer: 4, 3\/2, 0.73, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 735511.\nAnswer: 7, 179, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**5 - u**4 - 9*u**3 - 4*u**2 + 2*u. Let b(s) = s**5 + 2*s**4 + 8*s**3 + 4*s**2 - s. Let k(m) = -3*b(m) - 2*y(m). What is p in k(p) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 + 18*x**2 + 28*x - 123. Give h(-16).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 + v**2 + 2*v + 1. Let q(x) = 566*x**3 + 3*x**2 + 1556*x + 5. Let m(g) = -3*o(g) + q(g). Find the second derivative of m(j) wrt j.\nAnswer: 3378*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of 15*x**2\/2 + 4. Let g(d) = -32*d**2 + 147*d**2 - 67*d**2 - 24*d**2 - 23*d**2. What is m(g(l))?\nAnswer: 15*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 431 is divided by 108.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6723 + 6736. Solve -s = -5*g - 22, 5*g - 3*g + s + m = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -72438700 to the nearest one million.\nAnswer: -72000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*2\/(-12))\/(13\/130)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 101011101000010100 (base 2) to base 6\nAnswer: 3455204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * 91\nAnswer: 9.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 + 0 + 1)*(-2*o**4 + 6*o**4 - 28*o + 28*o) as i*o**3 + n*o**2 + g*o + b*o**4 + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 10 (b) -0.04 (c) -1 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are 1592809 and 1592976 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*r + 22. Put r, 1, -1 in decreasing order.\nAnswer: 1, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 41737 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -22 + 29 + -2 + -2 + -55 + 77.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 6*d + 77. Let u be 8\/10*165\/(-11). Let z be m(u). Solve -1 = 4*h - 5*v - 6, 0 = -z*h - 4*v - 4 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2999.\nAnswer: 2999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 - 45*t**2 + 148*t + 252. What is the remainder when s(-48) is divided by 53?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 5 + 16)*(b - 2*b + 2*b + (-3 + 4 - 2)*(-2*b - 2 + 2)).\nAnswer: 42*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand z + 3*z**3 - z**3 + 4*z**3 + (-5*z**3 - 2*z**3 + 5*z**3)*(2 + 0 - 1).\nAnswer: 4*z**3 + z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnambknakbnakabakn. What is prob of picking 1 m and 1 b?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 5*t. Let r(s) = -4*s + 1. Let h(y) = 3*p(y) + 4*r(y). Let i be h(0). Suppose 3*w - 4*w = -i. What is the highest common divisor of w and 36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9761873 kilograms to milligrams.\nAnswer: 976187.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -885*h*r**4 - 28203*h + 57*r**4 wrt r.\nAnswer: -3540*h*r**3 + 228*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 214*h + 7. Is c(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 24 = 66. Let t be (-60)\/m*(4 + -1). Find c, given that 4*c + t*c**3 - 3*c - 4*c**4 - c = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 + -6 + 4 + -110. What is the common denominator of (156\/z)\/((-69)\/230) and -45\/11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12\/11 in -2, 2\/9, 1.5, 2\/19?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11399566?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/(l\/(l*l**(-6))))**(3\/23) assuming l is positive.\nAnswer: l**(-12\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + 10 + -1 + -7 + 2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -8*h**2 - 1. Let a(y) = -7*y**2 - 1. Suppose 4*p - p = 15. Let v(f) = p*k(f) - 6*a(f). What is the first derivative of v(z) wrt z?\nAnswer: 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (13 - 24 - -17) + -18?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-35)\/(-10)*(-24)\/14.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-3))**(1\/24)*g\/g**26*((g\/(g*g**24))\/g)\/g assuming g is positive.\nAnswer: g**(-409\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7590040285 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 2*g**2. Suppose 2*n + 13 = 5*a + 4, 4*n + 4*a + 4 = 0. Let h be 3\/n*4\/(-3). Let i(y) = -h*y - 5*y + 3*y + 3*y. Determine p(i(t)).\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 238402, 238373, 238344, 238315, 238286?\nAnswer: 238257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 32847*a - 32639*a + 16640 for a.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 241 - 241. Suppose -2*h - 9 = -5*h. Is f greater than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3\/9 + b**2 - b\/9 - 1.\nAnswer: (b - 1)*(b + 1)*(b + 9)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cy when two letters picked without replacement from ocooccyccycccsoo?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -93*i + 763 - 163 - 4413 for i.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.8603503um?\nAnswer: 0.0000008603503","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 5*(sqrt(2) + 2 + -2 + sqrt(50) + -4 + sqrt(50)))*-2.\nAnswer: -110*sqrt(2) + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80520 is divided by 300?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 134648 to the nearest integer?\nAnswer: 367","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 18 + 13 + 2*b + 7*b**2 to the form s*b + u*b**2 + n and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 40987717 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 8*v**2 + 3*v + 1. Let j(a) = a - 14. Let t be j(7). Let x be q(t). Suppose 3*p - 5*m = 404 + x, 515 = 2*p - m. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g + 9. Let y be a(-6). Let v(s) = 164*s + 6562. Let h be v(-40). Solve -h*t - y*t = 20 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18582, 74350, 167296, 297420, 464722, 669202?\nAnswer: 910860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/19081176 and 115\/6.\nAnswer: 19081176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18528?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4411 and -462723.\nAnswer: -467134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 e when two letters picked without replacement from {b: 2, m: 11, e: 4}?\nAnswer: 11\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6297 is divided by 242?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 278582?\nAnswer: 2, 139291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 304 and 133?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 5*z + 10. Calculate u(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9653 to the power of 1\/2, to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 - 5. Let g = 23 + k. Calculate the greatest common factor of g and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 4*q + 3*t, -4*q + 22 = 2*t - 0*t. Suppose 0 = -z + 9 - q. Solve z*s = -0*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*b + 72 = 28*b - 4*z, 0 = z. Solve -85*y = -91*y - b for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in seven quarters of a kilometer?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 + 13*n**2 + 36*n + 300. Give b(-8).\nAnswer: 332","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) 64 (b) -9 (c) -3.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1298.66 from -59.\nAnswer: 1239.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 6755 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -363 - -367.71. Round m to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 312618 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, -4, 5\/4, 15288 in ascending order.\nAnswer: -4, 1, 5\/4, 3, 15288","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/3)\/(8\/6). Let w be (((-8)\/14)\/2)\/1. Let r(i) = -2*i**3 - i. Let p be r(-1). Which is the third smallest value? (a) l (b) p (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -2*g - 1 + 1. Let o(b) = -24*b - 2. Let v(p) = -290*p - 25. Let q(d) = -2*d + 19. Let j be q(22). Let k(i) = j*o(i) + 2*v(i). Calculate k(x(l)).\nAnswer: -40*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 134, 130, 118, 86, 22, -86, -250, -482?\nAnswer: -794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -481*h = -467*h + 14 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 185153029471 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/5369994 and 8\/7458325?\nAnswer: 134249850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(1210)*-3 + sqrt(1210))*-1)\/((5*-2*sqrt(55))\/((sqrt(88) + 2*sqrt(88) + sqrt(88) + sqrt(88) + sqrt(88))\/sqrt(8))).\nAnswer: 66*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-24)\/4*2\/(-6). Let v = 7 - j. What is the third derivative of 0*o**2 - v*o**2 - 2*o**4 + o**4 wrt o?\nAnswer: -24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 3 = 2*u, 4*i - 3*u + 9 = 0. Suppose i = 4*s - 15 - 25. What is the remainder when 26 is divided by s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 5. Let c be (1 - -1)*(-1)\/r. Let j = c - -10. Calculate the highest common divisor of 72 and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the third derivative of f**8\/20160 + f**7\/840 + f**6\/720 - f**5\/15 - 3*f**2. Let y(a) be the third derivative of i(a). What is y(-5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -745 - -747. Put y, 0.3, -6, 6 in descending order.\nAnswer: 6, y, 0.3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 103\/(-5) - ((-256)\/(-40) - (1 - -5)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 151134 divided by -6.\nAnswer: -25189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 3*q**2 + 26*q + 38. Let a be t(-7). Suppose 0 = 2*y - 3*y - v + 8, 2*y - a*v = 1. Solve 3*z = -4*s - s + 9, y*z - 15 = s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 357662707?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3331 is divided by 63?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**2 + 54*o**2 - 15*o**2)*(1 - 1 + 2*o) + (4*o + 0*o - 2*o)*(-1 + 2*o**2 + 1) + 2*o**3 - 4*o**3 + o**3 - 114*o**2 + 8*o**3 + 114*o**2.\nAnswer: 87*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -2*o**2 - 38*o + 44. Let i be f(-20). Let p(j) be the third derivative of j**5\/60 - j**4\/8 + j**3\/3 + j**2. Calculate p(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1786929 or 1786931?\nAnswer: 1786929","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Round 241.925 to the nearest 10.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 3) to base 10\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/15)*n*n*n**15*n)\/(n*n\/(n\/(n**(-4)*n)))**40 assuming n is positive.\nAnswer: n**(1472\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -177 - -189. Suppose 7 = 4*n - s, 3*s - l = -4*n - s. Solve 5*f = 3*k - 12, k - n*k = 5*f + 16 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -546 * -2.\nAnswer: 1092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (((-6)\/8)\/(535\/428))\/((-39)\/2795)\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 2*u - 522412, -4*u - u - w = -1306003. What is u rounded to the nearest ten thousand?\nAnswer: 260000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n. Let l(y) = y + 1. Let h(w) = 35*w + 2. Let b(t) = h(t) - 2*l(t). Calculate r(b(v)).\nAnswer: -33*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/13 - (-3072)\/4576 - 2990\/55.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in thirteen fifths of a millisecond?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 5*o = 0, -3*t + 19*o + 32 = 14*o for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -3\/13, 0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (62\/(-20))\/31 - (-309)\/(-10). Which is smaller: s or -18?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 21*v**2 - 9*v - 5. Determine t(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 248864 divided by 8888.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29, -131, -303, -545, -857, -1239, -1691?\nAnswer: -2213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -135*y**3 - 135*y**3 + 278*y**3.\nAnswer: 8*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 6449?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -341975*f**2 + 171104*f**2 + 171038*f**2.\nAnswer: 167*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/7 (b) -2201\/3 (c) -10 (d) 1 (e) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 51213 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6c - -a7?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.11560473 rounded to 2 decimal places?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2092451 is divided by 123.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 0.01, -0.5, -4 in ascending order.\nAnswer: -4, -0.5, -0.2, 0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2 - 16*d**3 - 1 + 4*d - 3*d. Let y be h(-1). What is the greatest common factor of 160 and y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -2*x + 36. Let t(o) = 2*o**2 + 2*o + 10. Let g be t(7). Let k = 123 - g. Solve -2*c = 4*h - x, 11 + k = 4*h + 3*c for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 349674?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -24, 2\/7, 2\/35?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/8)\/((-4445)\/30226) - (-89)\/(-1).\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:44 PM and 3:29 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*d + 18*d = 3. Put 4, -1, d in ascending order.\nAnswer: -1, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 43154 by 1238.\nAnswer: 21577\/619","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23346069 + 125*z**3 - 23346019 + 105*z**3.\nAnswer: 230*z**3 + 50","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96*i + 1028 = 2618 - 3530 - 6028 for i.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -6*m**2. Let i(z) = 50*z**2. Give j(i(n)).\nAnswer: -15000*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/7 in 12\/11, 16, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10387 is divided by 576.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.646 - 0.656. Sort m, -8, 2, -0.1 in descending order.\nAnswer: 2, m, -0.1, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -39*r**3 + 3*r**2 + 3*r - 2. Let z(f) = 79*f**3 - 5*f**2 - 5*f + 3. Calculate 5*u(h) + 3*z(h).\nAnswer: 42*h**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1730 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (43 + -48 - (9 + -4 + 1)) + 74?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - -101101101010110101?\nAnswer: 101101101010110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 12 = j, -5*j + 1 = -4*z - 15 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 0 - (15 - (4 - -8)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-50)\/(-175) - (30\/56)\/1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4060)\/30 - (-1)\/3. Let r be ((-4)\/(-6))\/(3\/f*3). Let z(t) = 15*t**3 - 5*t**2 + 5. Let n(u) = -8*u**3 + 3*u**2 - 3. Give r*n(h) - 6*z(h).\nAnswer: -10*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*y + 0*y + 2*y)*(-2 - 3 + 3)*(5 + 3 + 14) to the form c + w*y and give w.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is c7b20 - 6?\nAnswer: c7b19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 43 = 16. Let d be 0*3\/l - -2. Suppose -d*b + 26 - 2 = 0. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*h*m*q + 23*h*m + 600086*h*q*v - 13*h*v + 27*h + 12*v wrt q.\nAnswer: 2*h*m + 600086*h*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, i: 3, v: 1, c: 2, m: 3, f: 1}. What is prob of picking 1 e and 1 i?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3400649 to the power of 1\/2, to the nearest integer?\nAnswer: 1844","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 27 - 12. Find the second derivative of -9*b - 10*b**5 + t*b + 8*b wrt b.\nAnswer: -200*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.557006 minutes to seconds.\nAnswer: 333.42036","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 + 13 - 7)*(2*q - 6*q + 2*q).\nAnswer: 16*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 divided by -106?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*h - 18*h - 10. Let q be ((-2)\/(-4))\/((-6)\/h). Let w be ((-2)\/8)\/(3\/2). What is the third biggest value in -4, q, w?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -22 + 6. Suppose 0 = 2*x + 4 + 2, 0 = 3*c - 2*x + 18. What are the prime factors of 1*y\/c*-54?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -1 - (4 - 6 - -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 23788 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*m + 14. Suppose 0 = 2*h + 8 - m. Let p(c) = 2*c. Let o be p(h). Sort o, -5, 5 in decreasing order.\nAnswer: 5, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*p - 27 - 83 = 0. Put p, 1, 2, 62, -2 in increasing order.\nAnswer: p, -2, 1, 2, 62","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -117\/5629760 and -101\/879650.\nAnswer: 28148800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 142 + -136. Suppose -73 = u*h - 679. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*m*o**2*p + 102*m*o**2 + m*p - 22*m - 322*o**3*p - 2*o**3 wrt p?\nAnswer: -3*m*o**2 + m - 322*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 3*t + 7*t - 32 = 0, 0 = r + 2*t - 40. Let o = -40 + r. Factor -5*a - 5*a**2 - 8*a - 3*a**3 - 3 - o*a**2.\nAnswer: -(a + 1)*(a + 3)*(3*a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 151605264 and 144.\nAnswer: 454815792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 4*((-1 + (sqrt(612) + sqrt(612) + (-2 + sqrt(612) + sqrt(612) + -1 - sqrt(612)) - (1 + sqrt(612) + -1)))*-2)**2.\nAnswer: -1536*sqrt(17) + 39425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = r + 353, 3*r + 1357 = -r - 3*x. Let t = -243 - r. Is 7 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.12 + -0.72. Let q = 1 + -1. Put -2\/3, q, k in descending order.\nAnswer: q, k, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 385059 at most as big as 385059?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2139000 rounded to the nearest 100000?\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17.629 + -8.948. Round d to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -19200*m**2 - 240*m - 3\/4.\nAnswer: -3*(160*m + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13\/((-520)\/16))\/((-8)\/(-10))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, o: 11, s: 1, h: 1, v: 1}. What is prob of picking 1 s and 1 h?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 AM and 5:17 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 10*q + 2. Determine c(-2).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -63, -237, -525, -927, -1443?\nAnswer: -2073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1691 + -582. What are the prime factors of t?\nAnswer: 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 - 2*k**2 + 2*k - 2. Let h(u) = u**2 + u - 3. Let f be h(0). Let l be a(f). Let t(i) = 6*i**2 - i. Determine t(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10400, 20704, 30952, 41138, 51256, 61300?\nAnswer: 71264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - (sqrt(5) - (sqrt(60) - 2*sqrt(60))\/sqrt(12))) + 1 + sqrt(15)\/sqrt(3) + -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4, 1, 25, 0 in descending order.\nAnswer: 25, 4, 2, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -922169\/2 at most -461086?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 8*w + 12. What is d(2)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 e, and 1 z when three letters picked without replacement from ezuaaoq.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -5935 divided by 21?\nAnswer: -5935\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nlnblnlll. Give prob of picking 1 n and 3 l.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -0.1613, 4\/17, -5, -2, -2\/13?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes before 8:42 PM?\nAnswer: 9:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 194\/(-6499) - (-1068)\/(-134).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/45 and (-14)\/(-100)*(-135)\/162.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -153 (base 7) to base 8.\nAnswer: -127","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (-14 - (-4 - 4 - -10))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.608167nm to micrometers.\nAnswer: 0.007608167","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 h when two letters picked without replacement from hhhhhhhhhthh.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes before 8:28 AM?\nAnswer: 1:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 2*w = -17, 6*n - 7*n + w + 2 = 0. Suppose 0 = n*g - 1 + 1. Solve -3*d + 14 = -2*t, 2*d + 8 = -g*t - 3*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4490, 4491, 4492?\nAnswer: 4493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*p - 618 - 372 = 0 for p.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.46794 to two decimal places.\nAnswer: -1.47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**1)**(-2\/43)\/(z**(-3)*z*z\/z**(2\/11)))\/((z*z\/(z*z*z\/(z*z**(-2)*z))*z)**(7\/6))**(2\/9) assuming z is positive.\nAnswer: z**(537\/473)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -39*t + 2. Let w(j) = 43*j - 1. Calculate 3*m(d) + 2*w(d).\nAnswer: -31*d + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -338, -417, -584, -869, -1302?\n\"Answer: -5*n**3 - 14*n**2 - 2*n - 317","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*d*n*p**2*u**3 - 2*d*n*p*u**3 + 3*d*n*p*u**2 + 2*d*n*p - 3*d*n*u**3 - 14*d*n + 83*n*p**2*u**2 + 4*n*p**2 wrt p.\nAnswer: -4*d*n*u**3 + 166*n*u**2 + 8*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + -5. Let d = u + 23. Suppose -p = 3*o - 1, -5*o + d = 3*p + p. Calculate the remainder when 20 is divided by p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 29 = -3*x, 3*j + 2*j = 10. Suppose 0 = -l + 11*l + 2*l. Suppose -51*h + 52*h - 28 = l. Calculate the highest common factor of h and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -31100.8202 to the nearest integer.\nAnswer: -31101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 + n - 8. Let s(g) = 2*g - 4. Let p be s(0). Let u be b(p). Solve -5*t - u = 6 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 19\/4 of a millimeter?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*t - 4*t - 6*t + t in the form q*t + c and give q.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 204868 is divided by 40417.\nAnswer: 2783","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 492 - 175. What are the prime factors of s?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -16, -42, -116, -262, -504, -866?\n\"Answer: -4*v**3 + 2*v - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -158, 0.01, 0.4, 0.04?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1587352361 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 128*y - 2*y**2 + 157*y - 332*y**3 - 285*y + y**4 to z + w*y**2 + o*y**4 + r*y**3 + t*y and give r.\nAnswer: -332","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 5 - 262*r**2.\nAnswer: -262*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -768? (a) 16 (b) 36 (c) 2\/7 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (22\/((-1540)\/(-42)))\/(2\/(-4)*-4).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2197 - -3098. Does 39 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 65 + -64.99592. Round h to four dps.\nAnswer: 0.0041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 2*f. Suppose -41 = -3*i - 5*x, 4*x = 5*i - f*x - 19. What is the least common multiple of i and 4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1784)\/(-2676))\/((-50)\/(-18) - 1).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19499569 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in eighty-seven halves of a decade?\nAnswer: 435","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/6950 and 47\/1251.\nAnswer: 62550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23 - 40 + 15)*(0*u - 3*u + u)*(1 - 3 + 1)*(0*u**4 + 0*u**4 - 8*u**4).\nAnswer: 768*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -9 + (-135)\/(-6) - (-5)\/(-2). Let h be 6\/8 + (-22)\/8. Let k(w) = -21*w - 11. Let i(j) = -4*j - 2. Give h*k(v) + o*i(v).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 728601 + 5?\nAnswer: 728606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11 and 1710203.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 3*c = -75, -5*z + 28*c = 31*c - 93. Calculate the greatest common divisor of z and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 15*d + 1017. Let w be f(-59). Let i(p) = 12*p**2 - p. Let r be i(1). What is the greatest common factor of r and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2d93d (base 16) to base 12.\nAnswer: 90051","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4.486 and -776.\nAnswer: -3481.136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -144815 or -144450?\nAnswer: -144815","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/1003 or 1?\nAnswer: -4\/1003","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -222995*o**4 - 47*o**3 + 3332783*o wrt o.\nAnswer: -2675940*o**2 - 282*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40593.\nAnswer: 3, 7, 1933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2 - 65*h + 112. List the prime factors of o(0).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c3 + -737?\nAnswer: -644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -6*b. Let l be 1\/3*b - -31. Suppose c - l = -9. Calculate the lowest common multiple of 6 and c.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 136900 and 2350.\nAnswer: 6434300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 1, 2*f - 6 = -n - 3*f. Let y = 0.9 + -3.9. What is the closest to n in 0, 2\/5, y?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 106*i**2 + 3*i - 270*i**2 - 1 + 7 to z*i + u*i**2 + w and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99*o + 38*o = 66*o - 508. Put 0.18, o, 26 in descending order.\nAnswer: 26, o, 0.18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 18 * 175636.\nAnswer: 3161448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -26 + 30. Solve -c = p*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = 16, b + 6*s = 803 - 783 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 116 + 4 + (-11 + -5 - (21 + -39) - 3)\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2. Let h(o) = -2*o**3 + 4*o**2 + 4*o + 2. Determine h(a) - 4*k(a).\nAnswer: -2*a**3 + 4*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -34309*b*x**3 - 9*b*x**2 + 2*b*x + 95*x**2 wrt x?\nAnswer: -205854*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -6*i**2 - 9*i + 1. Let h(r) = -7*r**2 - 9*r + 1. Let v(q) = -5*h(q) + 6*j(q). Is 3 a factor of v(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the second derivative of 29*b**5\/20 + b**4\/6 - b**3\/6 - 4*b. Let w be i(1). Solve 4*d = -d + 5*l + w, -d - 3*l - 14 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 2 = -2*q, 2*q - 3*d - 22 = -d. Let a = q - 0. Solve -3 - a = 3*s - 2*j, -16 = 2*s + 2*j for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 5*j**2 + 34*j + 3. Let u be v(-7). Calculate the remainder when 137 is divided by 4\/u*(-920)\/(-16).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and -0.03257.\nAnswer: -0.013028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5.29194 and -0.6.\nAnswer: -3.175164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -850 = -2*h + 14*q, -4*h - 30960 = -q - 31040 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bqln when four letters picked without replacement from {b: 1, n: 2, h: 7, l: 3, o: 1, q: 3}?\nAnswer: 3\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12656 and 25959264.\nAnswer: 181714848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a - 25 = -2*a. Let y be ((-12)\/42 - (-80)\/(-14)) + -1. Let z = -20.16 + 19.16. Sort y, a, 3, z in increasing order.\nAnswer: y, a, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 - 2*z**2 + 2*z - 2. Let n be b(2). Let i be (5 - 4)\/(n\/8). Let p(v) = v + 6 - 2 - i. Let x(r) = 2*r**2. What is x(p(g))?\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -12*h**2 + 120*h - 105. Let j be y(9). Which is the third biggest value? (a) -4387\/2 (b) j (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -209*b**3 - 2197*b**2 wrt b?\nAnswer: -1254","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.88 - 0.12. Let i = -1 + g. Let f = 51 - 254\/5. Which is the third smallest value? (a) f (b) -5 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5673292?\nAnswer: 2, 67, 21169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/3 and 41\/288?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2500 (base 7) to base 4.\nAnswer: 32203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 9 (b) 4 (c) 0.059 (d) 1 (e) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*t - 241 - 235 + 3*t**2 + 3*t**3 + 478 to the form p*t**3 + o*t + f + a*t**2 and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5\/(35\/(-28))*3\/(-12). Suppose r + 6 = 3*h, 3*r + 2*r + 4 = 2*h. Let k(g) = g + 8. Let l be k(-5). Sort r, w, l in increasing order.\nAnswer: r, w, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-30)\/1*(15\/(-3) - -4). What is the units digit of m\/20 - 3516\/(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the second derivative of -s**3\/6 - 2*s. Suppose -1 = 3*z + 2. Let w(c) = -4 + 3 - c**2 + 2. Calculate z*w(o) - p(o).\nAnswer: o**2 + o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.981233 rounded to one dp?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -524.0923 + 0.0923. Let d = q - -529. Which is the nearest to -3? (a) d (b) -0.05 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 6 - 11 = 0. Suppose -3*z - 162 = o, -3*o - 3*z = -8*o - 756. Let h = 463\/3 + o. Which is smaller: h or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -2\/307107 and -17\/307107.\nAnswer: 307107","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 5*y = -y + 30, a - 3*y + 6 = 0. Let x(w) = -w**3 - 6*w**2 - w + 8. What is the units digit of x(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 366 - 390. What is the units digit of c\/(-6) + (-623)\/(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*n - 0*y - y - 4, 4*y = 2*n - 16 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**2. Let n(p) be the third derivative of 3*p**5\/40 + p**3\/2 + 4*p**2. Let x(v) be the first derivative of n(v). Give f(x(z)).\nAnswer: -81*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, 17, 41, 79, 131, 197, 277?\nAnswer: 371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-15)*(-6)\/4. Let g = 6.05 - 0.05. Let a = g - 1. Sort a, s, 1\/10.\nAnswer: s, 1\/10, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6879307?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 501022297 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 152 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 13 = 4*p, -2*p - 3*a + 6*a + 9 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1553329 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e, 1 g, and 1 j when four letters picked without replacement from jtegttjeegee?\nAnswer: 8\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - m = -3, 4*m = y - 0*y - 3. Solve -3*f - 3*p = 0, 5*p = y*f - 44 + 4 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 26 = -2*o, o - m - 3*m = 10. Factor 175*a - o + 166*a - 3*a**2 - 356*a.\nAnswer: -3*(a + 2)*(a + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 40a97 - -72?\nAnswer: 40b29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 196861 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 101790?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -15 - -9 - (-40)\/7. What is the closest to k in -1\/5, -2, -21?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -64*b - 389. Calculate o(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 14186 times -0.06\nAnswer: -851.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1357982113 to the nearest integer?\nAnswer: 36851","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 227218*l**2 - 227218*l**2 - 617*l**3.\nAnswer: -617*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1774*c + 26506 + 8974 = 0 for c.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 27\/5 of a microgram?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 987050 + -1030480343\/1044. What is the common denominator of 157\/3828 and w?\nAnswer: 11484","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1030\/206*(-16)\/(-10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from {y: 4, j: 1, u: 5}.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -619687 and -71?\nAnswer: 43997777","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in three fifths of a second?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 207 and 978052?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, 4, 20, 42, 70, 104, 144?\nAnswer: 190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -528*i + 7. Let x(c) = c - 81. Calculate k(x(a)).\nAnswer: -528*a + 42775","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1\/4*q**2 + 1\/4*q + 3\/2 = 0 for q.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10001110011100110100001 + 0?\nAnswer: -10001110011100110100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 556 is divided by 71?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -94*p**5 + 1540*p + 53637*p**3 + 53635*p**3 - 107263*p**3 wrt p?\nAnswer: -1880*p**3 + 54*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(29\/2)\/k*k**(-5))\/(k**(4\/7))**(20\/11) assuming k is positive.\nAnswer: k**(1149\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of 3*c**4\/14 - 10*c**3\/7 + 9*c**2\/7 + 54*c\/7 + 6. What is i in g(i) = 0?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1961370 and 2664?\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in thirty-three fifths of a meter?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, o: 3, q: 3, d: 2, k: 1}. What is prob of sequence qok?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1\/3 + 1)*18. Let u = 6 + 0. Calculate the highest common divisor of u and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q**2 - 123*q + 126 = 0.\nAnswer: -42, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -295622, -591198, -886774?\nAnswer: -1182350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-4\/5))**(-33) assuming x is positive.\nAnswer: x**(-33\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 6 = 4*t. What is the closest to t in -6\/5, 0.5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 - 17*s**2 - 78123*s - 1406546. Give v(-18).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5750 and 72350.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -4*r**2. Let w(g) = 2*g**2 - 6*g. Calculate w(k(l)).\nAnswer: 32*l**4 + 24*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -3 - w - 2*w + 23*w**3 - 349*w**3 + 0*w**2 + 2*w**2 + 2*w. Does 16 divide m(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -18486908\nAnswer: 1\/9243454","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.85 and 1.7061.\nAnswer: 4.862385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = k + 8 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 434440 (base 7) in base 2?\nAnswer: 10010100011111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (69\/(-18) - -4)*-3\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6864 + 109921\/16. Let g(f) = -f**3 + 7*f**2 - 7*f + 7. Let j be g(8). What is the common denominator of 5 + -5 - j\/10 and x?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -33 + 51. Let s(p) = -22 - 8 - 41*p + 61*p - p**2. Let u be s(r). Calculate the highest common factor of u and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 180 = -r + 57, o = 3*r + 389. Is r >= -130?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 - (-3 - -3 - -1). Let j(f) be the second derivative of -1\/10*f**5 + m*f**3 - 1\/6*f**4 + 0 - 2*f + 0*f**2. Find the third derivative of j(c) wrt c.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + 8. Factor 0*k**5 + k**4 - 4*k**3 + 1 + 2*k**y - 2*k**2 + k**5 + k.\nAnswer: (k - 1)**2*(k + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-40057 - (29 - -6))*6\/(-4)?\nAnswer: 2, 3, 13, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**4 + 51010*i**3 - 130813185*i**2 + 3632830180*i - 25360017620.\nAnswer: -5*(i - 5087)**2*(i - 14)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s - 4. Let q be (-4)\/(-4) - -1 - (7 - -2). Let u be w(q). What is the units digit of (u + (-1)\/1)*(-10)\/(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -141228499*x**3 - 27365*x**2 - 361*x wrt x.\nAnswer: -847370994","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = -5*y - 3 + 29 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -53 or -46?\nAnswer: -53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -z + 803, 333 = 2*y + 2*z + 15. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.8 - 0.05049557977\nAnswer: 0.74950442023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -5 (b) 341 (c) 3\/2 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 689194, 2756679, 6202488, 11026621?\nAnswer: 17229078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 414227 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*z + 46*z - 9*z - 26*z - 7*z.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2989249 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -264*n = -314*n + 700 for n.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -183.4 and 74.\nAnswer: -109.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 + -2 - (-1 - -2). Suppose -3*r = -2*r. Let l = 1 + -3. Sort r, l, h in descending order.\nAnswer: r, h, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16175 - -16178. Solve 19 = 2*j + 5*f, 74*j - 71*j = -c*f + 15 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 5*h + 4. Let c(t) = -2*t - 1. Give -11*c(v) - 4*f(v).\nAnswer: 2*v - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -20201 (base 4) to base 7\nAnswer: -1406","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the second derivative of n**4\/12 - n**3 + n**2\/2 - n. Is a(7) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 217129?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 2*s**4\/3 - s**3 = 0.\nAnswer: 0, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 12402 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 60.63949 hours in microseconds?\nAnswer: 218302164000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of -1\/16*n**4 + 5 + 2*n - 3\/2*n**2 + 1\/2*n**3. Let f(q) = 0. What is q?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 512192.\nAnswer: 2, 53, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 532 and 24917956?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 942 - -653. Is y\/20 + (-3)\/4 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1839408 and 1992692?\nAnswer: 23912304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19\/96 + -1\/32. Suppose 9*p + 12 - 57 = 0. Let n be (-1)\/2*p\/(15\/(-18)). What is the second smallest value in n, d, -2\/17?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 2, 8*i - 11*i + w + 1 = 0. Solve i = -2*j - 5 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 5*k = -4*k. Suppose -t - 10 + 12 = k. Let c be 3 + (2\/2 - t). Solve c*b - 5*p + 16 = 0, 3*b + 0 = -5*p + 1 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -70 + 118. Let x(g) = 9*g - 75. Let u be x(9). What is the highest common divisor of z and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 310306 is divided by 12929?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**2\/7 - 831*g\/7 - 17820\/7.\nAnswer: 3*(g - 297)*(g + 20)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 13 + 16 + -37 - -23041008. Round k to the nearest one hundred thousand.\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -2101*c. Let d(i) = 286*i + 179. What is g(d(p))?\nAnswer: -600886*p - 376079","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 595?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n = -b - 3, 8*n - 21*b - 54 = 7*b - 26*b for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (0 + -1)*(-2650)\/10 is divided by 18?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 5625369?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(42)\/sqrt(7))\/sqrt(3))**2 + (1*sqrt(12))\/sqrt(6).\nAnswer: sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 300352\/(-156)*(-33)\/308. Suppose 152\/7*y - m - 4\/7*y**2 = 0. Calculate y.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 divided by 24?\nAnswer: -41\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h**(1\/4)\/h)*h)**(-2\/45) assuming h is positive.\nAnswer: h**(-11\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*b - 3195 + 10336 = -186*b - 5179 for b.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -1751*x - 4. Let y(g) = -7010*g - 18. Determine 9*j(c) - 2*y(c).\nAnswer: -1739*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 140 < 126?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-84)\/28)\/(1\/1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 6:14 AM?\nAnswer: 5:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5143893651 to the nearest integer?\nAnswer: 1726","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 9\/10 of a kilometer?\nAnswer: 90000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*x**2 + 1045*x - 48990 = 0. What is x?\nAnswer: 71, 138","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 33020301 - 303232?\nAnswer: 32111003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.3 + 0.8. Which is the closest to y? (a) 5 (b) 0.4 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -47*r**2 + r - 2. Let d be f(1). Let j = 97 - d. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.03 + -0.03. Suppose -3*t = 5*c - 101, 5*t - c = -2*c + 139. Suppose 11*d - t = -5. What is the third biggest value in y, d, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4295466 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 1932*s**2 + 5*s - 25. Let f be a(5). What is f rounded to the nearest 1000?\nAnswer: 48000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19 - -37. Factor -23 + 34 + 2*h - r*h**2 - 20 + 3*h**4 - 26*h.\nAnswer: 3*(h - 3)*(h + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0*-2*3\/(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jmu when three letters picked without replacement from {m: 2, r: 6, c: 1, t: 1, j: 1, u: 4}?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 104420?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -36d746 (base 16) in base 10?\nAnswer: -3594054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18708 is divided by 468?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4008, -3997, -3980, -3957?\nAnswer: -3928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105180 is divided by 214.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 68094 a multiple of 234?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -10*(1\/(-1) - -2). Find the common denominator of 55\/8 and (-83)\/(-4)*(-2)\/q.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -27 - -32. Sort -1, x, 3 in ascending order.\nAnswer: -1, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of 9*w**4\/2 + 21*w**3 + w**2 + 7. Let b(s) = 216*s + 248. Let k(g) = 2*b(g) - 5*p(g). Differentiate k(d) with respect to d.\nAnswer: -108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 1 - 2 + 7 - 7. Let c = 28 - 27. Let x(f) = 3*f + 4. Calculate c*x(k) + 4*g(k).\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -36 times -9741\nAnswer: 350676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the third derivative of 0*z**6 + 0*z + 1\/70*z**7 - 7*z**2 + 0 + 2*z**3 + 0*z**5 + 0*z**4. Find the first derivative of d(y) wrt y.\nAnswer: 12*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.4 - 3.4. Let d = -0.5 + 3.5. Which is the second biggest value? (a) d (b) -5\/4 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 7 = -3. Is 2 < z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 26 - -3. Let c(p) = -12 - 20*p + p + d. Let i(n) = -20*n + 17. Let u(w) = 7*c(w) - 6*i(w). What is the derivative of u(o) wrt o?\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -23\/28 < 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4827 + 9832. Calculate the highest common factor of 572 and q.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -6*a. Suppose 3*s - 13 = -4*b, -2*s + 4*b - 4 = 14. Does 3 divide n(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 495\/(-1430) + (-4)\/26. Let i = -8.82 - 0.18. Let f = i - -13. What is the third biggest value in 0, w, f?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**2 - 18*d - 24. Let b be c(-17). Let a(q) = q**2 + 9*q + 2. Determine a(b).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 + 5. Let g be (-1)\/5*h\/(-3). Let t = 313\/5 - 62. Which is the third biggest value? (a) g (b) t (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5, 10, 49, 124, 247, 430, 685?\nAnswer: 1024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*x + 8 = -71*x + 2*j + j, 0 = 2*j for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2185 + 2215. What is the remainder when 500 is divided by f?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3223*c + 3210*c + 4*n = 25, -c = 2*n - 5 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 - w**2 - w. Let q(r) = -15*r**2 + r**3 + 15*r**2 + 4*r. What is 3*a(g) + q(g)?\nAnswer: -2*g**3 - 3*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*r**4 + 7*r**4 - 3*r**4 + (-r + r + r)*(-r**2 + 4*r**2 - r**2)*(0 + 0 + 3*r).\nAnswer: 10*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-6)*a**(1\/18)\/a assuming a is positive.\nAnswer: a**(-125\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2838)\/(-165) + (-390)\/75. Let a(y) = y**2 + 2*y + 1. Let o be a(-1). Suppose -5*h = -u - 29, -7*h + 2*h = -5*u - 45. Solve h*j - j - f = o for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2057354 to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -4*q**3 - q**2 + q. Let m(r) = 43*r**3 + 36*r**2 - 154*r - 169. Let k(l) = 4*m(l) + 44*o(l). Factor k(h).\nAnswer: -4*(h - 13)**2*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11571 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 2*f**2. Let v(z) = 4179005*z**2. Give g(v(i)).\nAnswer: 34928165580050*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-168)\/(-4)*10*(-18)\/1080.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1229 is divided by 322.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -5*s - 246. Let i(n) = n - 1. What is -4*i(t) - j(t)?\nAnswer: t + 250","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 + 11. Let s be 1\/(u\/(4 - 106)). Suppose -57 - s = -2*d. Is 9 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -15451652*f + 502542 wrt f.\nAnswer: -15451652","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 3 - 4)*(6*x**2 + 5*x**2 - x**2)*(-6*x**3 + 4*x**3 + x**3).\nAnswer: -20*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-3) - (-16)\/(-36). Find t such that -2\/9*t - 2\/9*t**5 + 2\/9*t**4 + 4\/9*t**3 + b - 4\/9*t**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - 12 - -4 - (1 + -4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18 - 14. What is the smallest value in 5\/6, t, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k + 2*k + 25 = 0. Let s = -3 + k. Solve -4*z - 3*r - 8 = 0, -s*z + 4*r + 14 = -4*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1943\/116)\/((-1)\/(-16)). Suppose 9*c - 1735 + b = 0. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -32 - -1000?\nAnswer: 413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -84725 divided by 25?\nAnswer: -3389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 607049 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-8)*21\/126?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**2 - 2*j + 5. Let k be n(-4). Let q(y) be the second derivative of y**4\/12 + 5*y**3\/6 - y**2 + 15*y. Determine q(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2573311 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 124, 273, 472, 745, 1116?\n\"Answer: 4*y**3 + y**2 + 118*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence myy when three letters picked without replacement from tttmfffnynyf.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 - 1211000?\nAnswer: -1211011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 122 - 127. Let g be (-3)\/6*6 - (2 + c). Let r be (g + -2)\/(-14) + 26\/14. Solve 2*i = -r*i + 4 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 - 36*m**2 - 35*m - 65. Suppose -32*k = -27*k - 20, 0 = n + 4*k - 53. What is x(n)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12122220 - -2101?\nAnswer: -12120112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17 + -29.3. Let g = 18 + w. Let v = 5.2 - g. What is the biggest value in v, 0.1, -1\/5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1021*l**2 + 215*l**2 + 2*l**3 + 198*l**2 + 204*l**2 + 212*l**2 + 192*l**2 - l**3.\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of -98.58 and -779616375.\nAnswer: -779616473.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 460 - 361. Calculate the remainder when r is divided by 56.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9858348, -9858345, -9858342, -9858345, -9858360, -9858393, -9858450, -9858537?\nAnswer: -9858660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5202 - 452572\/87. What is the fourth biggest value in q, 6, -3, -1\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 175070?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rgg when three letters picked without replacement from {g: 2, r: 5}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 13704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.76670048686 - -0.0279\nAnswer: -0.73880048686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 + 4*h**2 + 5*h - 4. Let x(t) = -2*t**3 - 5*t**2 - 6*t + 5. What is -5*n(r) - 4*x(r)?\nAnswer: 3*r**3 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n. Let a(g) = 6786*g + 1438. Calculate a(t(m)).\nAnswer: 6786*m + 1438","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 8963.572 seconds?\nAnswer: 8963572000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 - 36*y**2 + 45*y**2.\nAnswer: 9*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(17) - (-2*sqrt(102))\/sqrt(6))**2 + 4 + sqrt(85)\/sqrt(5).\nAnswer: sqrt(17) + 154","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 smaller than -73542\/25309?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2. Let f(p) = -5*p**3 + 2*p**2. Suppose 9*b + 22*b + 31 = 0. What is b*f(n) + 2*m(n)?\nAnswer: 5*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 102 + -64. Let b(i) = -i - 13. Let s be b(12). Let r = s + u. Calculate the remainder when 37 is divided by r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 203232 (base 4) to base 14.\nAnswer: b94","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + 101 + -152 + (1 - -4 - 0).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 992?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22295?\nAnswer: 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110465420 is divided by 5328?\nAnswer: 5324","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-2\/17)\/(r**10\/r) assuming r is positive.\nAnswer: r**(-155\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 42640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -599.04 to 0 dps.\nAnswer: -599","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(4\/5)\/w)**(2\/31) assuming w is positive.\nAnswer: w**(-2\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 PM and 1:30 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1107*t + 1119*t - 57996. Is t >= 4832?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3475599 <= 3475599?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 918 divide 4845313?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 0. Let m = -1 + 2. Let u = m + 0. Which is the closest to u? (a) 2 (b) -1 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 63 = 4*f + 45, -4*f + 1149 = 16*r + 1581 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 37 - -14. Suppose -c + 23 = 2*g, 4*g - 2*c + 5*c = r. What is the smallest common multiple of 8 and g?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 512 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-17)\/((-170)\/(-10)))\/(-2)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12332 - 11232. Calculate the remainder when o is divided by 216.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -12978, -22202, -31426, -40650, -49874, -59098?\n\"Answer: -9224*o - 3754","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in seventeen halves of a meter?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -59, -71, -89, -119, -167, -239?\n\"Answer: -q**3 + 3*q**2 - 14*q - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 29*a**2 + 67*a + 2. Determine h(-2).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -62 or -7?\nAnswer: -62","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46240 is divided by 984.\nAnswer: 976","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**2 + 27*i - 22. Let m be h(22). Let x = m + -46. Let f = 66 - x. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 5*z + 33 = -23, 0 = -4*z + 8. Calculate the remainder when 50 is divided by i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15083 (base 13) to base 12\nAnswer: -1ab45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -15*n + 164. Let l be u(10). What is the greatest common factor of 3346 and l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6718253*y**3 - 255081*y**3 - 89 + 89.\nAnswer: -6973334*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*(g\/g**(-5\/4))\/g*g*g**(-4\/7) assuming g is positive.\nAnswer: g**(75\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25569 = -10*u + 2915 + 5576. Is 67 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l**4\/7 - 466*l**3\/7 - 27372*l**2\/7 - 3712*l + 53824\/7 = 0.\nAnswer: -116, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 10, 4*j + n = 1 + 4. What is the lowest common multiple of 2 and 0 + j - (-21 + 1)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5333 + -16.61512?\nAnswer: 5316.38488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**3 + 23*a**2 + 6*a - 13. Let s be n(-23). Which is smaller: -152 or s?\nAnswer: -152","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16362.\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 12112764 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: What is fifty-five sixths of a decade in months?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 7*j. Suppose 4*x - 4 - 12 = 0. Let r(o) = -2*o - o + x*o. Give r(l(h)).\nAnswer: 7*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 9) in base 15?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 22803.258 and 13847412.\nAnswer: 13870215.258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 240663, 240662, 240661, 240660, 240659, 240658?\nAnswer: 240657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49957095.\nAnswer: 3, 5, 3330473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, 49\/4, 0.4, 2 in descending order.\nAnswer: 49\/4, 2, 0.4, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24833, 24841, 24863, 24905, 24973, 25073, 25211, 25393?\nAnswer: 25625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 2*y**3 + 3*y**3 - 1692*y + 1696*y to v*y**3 + c*y + t*y**2 + n and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -38 + 3*g**2 + g**2 - 12*g**2 wrt g.\nAnswer: -16*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16186 is divided by 22?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 386*a + 27. Let p(l) = 769*l + 50. What is 11*b(c) - 6*p(c)?\nAnswer: -368*c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1747405 is divided by 1824.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u + 10. Let x be h(8). Suppose -x*f + 8 = 3*s, 5*f + 4*s - 4 = 3*f. What are the prime factors of f?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*t**2 - 11*t**2 + 251*t - 93*t + 262*t - 12*t as x*t + m + d*t**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2440.\nAnswer: 2, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001545485926 to three decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3838 + -3835. Put v, 17, -6, -1 in ascending order.\nAnswer: -6, -1, v, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of -3*w**4\/2 - 4*w**3\/3 - 15*w**2\/2 + 9353*w. Let u(o) = -6*o**2 - 3*o - 5. Give -3*k(m) + 8*u(m).\nAnswer: 6*m**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1189339802?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/12 in 1\/6, 2, -0.1095, 2\/3?\nAnswer: -0.1095","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ju when two letters picked without replacement from {j: 8, d: 4, u: 2}?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(98) + -1)**2 + -4 + -5.\nAnswer: -14*sqrt(2) + 90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -245875 equal to -245874?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + -11. Let q = 192 + -122. Let a = l + q. Does 29 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/6*12\/(-8). Let g = 49 - 50. Which is the third smallest value? (a) -4 (b) l (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -4*b**2 + 70*b + 124. Calculate f(19).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (3 + -5*sqrt(720) + sqrt(720) + 0)**2 + 2.\nAnswer: -288*sqrt(5) + 11526","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17362*n**2 - 326876*n - 1.\nAnswer: -34724","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -280*p + 12*p**2 - 804 + 305 - 689 = 0. Calculate p.\nAnswer: -11\/3, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/11, -10\/17, 1\/3, 4?\nAnswer: -10\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x + 23. Let n be r(-11). Suppose -2*o + n = -5*s, -5*o + 3*s + 17 = -13. Solve -5 = -g, h + 13 + o = 3*g for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/106 (b) -0.1 (c) 11 (d) 1 (e) -2 (f) -3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3839003 - 16?\nAnswer: -3839019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = o + 21, 5*o + 14 = -7*w - 23. Is -11 less than or equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 230 + -230.2. Let h = o - -16.2. Let y = -1 - 0. Are h and y equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 PM and 4:00 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 23*x**2. Let v(c) = -79*c - 82*c + 159*c. What is y(v(t))?\nAnswer: 92*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of d*v + 785172*d - 2*v**2 + 194433*v wrt v.\nAnswer: d - 4*v + 194433","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1830, -3660, -5490, -7320?\nAnswer: -9150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (19\/(-76)*-3)\/((-6)\/(-1688)) is divided by 138.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1281714 and 213619?\nAnswer: 1281714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1)\/(-2)*-3)\/((-15)\/50). Solve -v = -2*v - 4*m, l*m = -2*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 507508965 a multiple of 108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of -2*v**5 + 4*v**2 + 19. Find the second derivative of w(i) wrt i.\nAnswer: -120*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/592 and -81\/962?\nAnswer: 7696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-7)\/(-14) - (-2)\/8*-2. Sort n, -3, 1.\nAnswer: -3, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4086248069 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 5) in base 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18979*m**2*n*w + 43*m**2*n + 28934*m*n*w - 6*m*n - 3*m*w wrt m.\nAnswer: -37958*n*w + 86*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*h + 26*h - u = 19, h - 6 = -2*u. Solve 3*c + 5*p - 25 = 0, h*p - 28 = -6*c + 2*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-1\/8)*m)\/m)**2*(m**(-1))**(3\/8) assuming m is positive.\nAnswer: m**(-5\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 - 12. Let w = -13 - -10.6. Let b = w - -0.4. What is the second smallest value in b, v, -4\/3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 5, -2, -3, 7\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 3403674?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**2 - 37*q - 68. What are the prime factors of s(-26)?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 6*z**2\/5 - 137736*z - 8265024\/5 = 0.\nAnswer: -12, 114792","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -12*x**3 + 58*x**2 + 35*x - 23. What is a(5)?\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 3*f = 19, 10*c - 3521*f + 3523*f = 4 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14177 + -4.\nAnswer: 14173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -54*t**2 - 9944*t - 1475. Determine n(-184).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-2) + -2 + -2. Let x be ((-16)\/12)\/(2\/3). Put f, x, 0 in descending order.\nAnswer: 0, x, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -64, -47, -30, -13, 4?\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -1632*l**3 - 20*l**2 + 10*l + 5. Let r(b) = -10608*b**3 - 128*b**2 + 64*b + 32. Calculate -5*r(k) + 32*t(k).\nAnswer: 816*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -105, -206, -2, 3 in decreasing order.\nAnswer: 3, -2, -105, -206","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -46 + 38 + (22 - 39) - -10.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(24) + sqrt(96))*1)\/(sqrt(88)\/sqrt(99) - ((sqrt(64) + (sqrt(64) - 1*sqrt(64)) + sqrt(64))\/sqrt(8) - sqrt(8))).\nAnswer: -27*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*l - 52*l + 3*l**2 - l**2 - 6*l**2 + 79*l.\nAnswer: -4*l**2 - 22*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4269*x**2 - 13*x + 1605?\nAnswer: 8538","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -6571084 to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.31 + 0.41. Sort k, -3\/2, 5, -5.\nAnswer: -5, -3\/2, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 225 = -v. Let z = 25 + -7. What is the greatest common divisor of v and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/4 of a meter?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -180679 + 180680. Let z(f) = f**2 - 4*f - 5. Let i be z(4). What is the second biggest value in i, n, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16261 = 32*c - 15941 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:03 PM and 1:25 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -7269000 rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.0957 and -232065.704.\nAnswer: -232065.7997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.2 + 4.3. Let r = 2.6 - 0.6. What is the nearest to h in -4, r, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 59 (c) 6 (d) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -3*k**3 + 2*k**2 + 26*k - 98. What is i(4)?\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 (base 16) in base 5?\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 618483?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 772297 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -54860 + 55049. Suppose 4*f - 2 - 6 = 0. Suppose f*o + o - 81 = 0. Calculate the greatest common divisor of o and y.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -26, 6, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 18\/5 of a kilometer?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4561 - 2836. Is h equal to 1726?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 19140 = -5*z, 613*q + 15315 = 4*z + 610*q. Is 17 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-9) - 24\/(-108). Suppose 0 = 4*f - 6 + 2, -4*c + 5*f = 5. Let g = 1 - c. Do g and y have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -25 - -240?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -3*w + 14. Suppose -3*l = -2*d + 5 + w, -5*d - 4*l = -7. Suppose -d*a = -4*a + 8. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(32) + sqrt(18)\/(sqrt(225) + sqrt(9)) - sqrt(6)\/(sqrt(3) - -3*sqrt(108)).\nAnswer: 469*sqrt(2)\/114","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are -66388 and -66019 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5\/284 or -2\/49?\nAnswer: 5\/284","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 86\/7*q**3 + 2*q**5 + 0 - 60\/7*q**4 + 8\/7*q - 48\/7*q**2 = 0.\nAnswer: 0, 2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*6\/(18\/5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/4)\/(((-1)\/3)\/((-72)\/45)).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -2*a - 2. Let x be (72 + -71)\/(1\/4). Suppose -3*q + 30 = -3*r, 3*r = q + x*r - 2. Let p(g) = 2*g + 1. Give q*p(l) + 5*b(l).\nAnswer: 2*l - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b - b + 2*b**4)*(b - 3*b + 0*b) + 2*b**5 + b**4 - b**4 + 3*b**5 + 4*b**5 - 2*b**5 + 4*b**5 - 4*b**5 + 8*b**5.\nAnswer: 11*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2143284 and 308.\nAnswer: 15002988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -46954?\nAnswer: 4695.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11.5 + -97.6. Round f to the nearest ten.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 170818043 a multiple of 97?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 77124.48 millilitres?\nAnswer: 77.12448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 36*w + 415. What is the remainder when q(-1) is divided by 83?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.7 * -8099449\nAnswer: -13769063.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170)\/(sqrt(180)*4))\/(3*sqrt(242)*1 + sqrt(242) - sqrt(242)) + -4.\nAnswer: -4 + sqrt(17)\/792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 356 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 43 - 42. Let u = 28 - 26.7. Let c = u - 1.35. What is the second biggest value in p, c, -5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -10*h + 6. Let d be n(-3). Let q be d\/(-3)*2\/(-8). Suppose 141 = 5*f + u, 4*u - 32 = -4*f + q*f. Is 26 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 6)*(1 + 2 - 5)*(-13*j**2 + 62*j - 62*j).\nAnswer: -52*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -783, -1565, -2347, -3129?\nAnswer: -3911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 643469827 to the power of 1\/2, to the nearest integer?\nAnswer: 25367","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of 5*r**2 - 2*r + 2. Let c be y(2). Calculate the greatest common divisor of c and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -4*d + 53, -5*d - 29 = -7*d + 3*y. Solve -8*p + d*p = 1 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1013272612?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16195745*s**2 + 203*s + 8171 wrt s.\nAnswer: -32391490","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17 - 15. Let r be q + -5 + 3 - -3. Let u(n) = 5 - n - 5. Calculate u(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 5) to base 13\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 17074320, 17074318, 17074316, 17074314?\n\"Answer: -2*u + 17074322","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -48 - -48. Solve -3*c + 3 = -s*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -212, -210, -208, -206, -204, -202?\n\"Answer: 2*d - 214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 2*r + 25. Suppose -4*p + 4 = 2*y, 2*p - 5*y + 17 = 5*p. Put r, p, 2 in descending order.\nAnswer: r, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 - 9.66. Let l = s + -0.04. What is the nearest to 0 in -1\/7, 1, l?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 51 (b) 0.5 (c) -5\/6 (d) 2 (e) -2\/15 (f) 0.3 (g) 3\/451\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 939*p**2 - 2282*p**2 + 671*p**2 + 670*p**2.\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the second derivative of -53*b**2 + 29\/3*b**3 + 1\/12*b**4 + 5 - 8*b. Differentiate t(s) wrt s.\nAnswer: 2*s + 58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*z + 138 = 18. Suppose 32*i - 70160 = -z*i. What is the hundreds digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.356 rounded to one decimal place?\nAnswer: 29.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10389*b**2 + 3215*b**2 + 3598*b**2 + 11*b + 2*b + 3578*b**2.\nAnswer: 2*b**2 + 13*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3\/19 (b) -0.3 (c) -2\/17 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of -p**8\/960 - p**7\/420 - p**4\/6 + 3*p**2. Let b(f) be the second derivative of o(f). Find the third derivative of b(m) wrt m.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2865, 7002, 13913, 23604, 36081?\nAnswer: 51350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -21 less than -20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -9*j - 25. Let w(t) = -6*t - 2. Let o be w(-4). Suppose -2*i + 4*i - 10 = 2*k, -2*k + o = 2*i. What is the remainder when m(-7) is divided by i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 12, 0, -1\/37, 20\/7, 0.37, -2\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27135015, 54270032, 81405049, 108540066, 135675083?\nAnswer: 162810100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 3*i = 4*v + 9555, 0 = 4*i - v + 12740. Is i\/(-4) - (-12)\/16 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 3749358?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = y - 2, 4*k + 0*k - y = 12. Solve -i - 3*b = -b + k, -b + 8 = 5*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in seventy-three quarters of a kilometer?\nAnswer: 18250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-32)\/(-18) - ((-344)\/(-72) + -5). Find the third derivative of -7*z**3 + 2024*z**2 + 1 - 1 - 2097*z**l wrt z.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -35918\/38717?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.7 - -8.6. What is p rounded to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 h when two letters picked without replacement from uqquxuuqnhhqh.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/2 in -1, -2\/3, -3, -5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 24*c. Let r(z) = -2*z**2 + 45*z - 221. Let j be r(7). Let x(f) = f. What is j*u(w) + 108*x(w)?\nAnswer: 12*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*c = -11*c - 2*z + 5, -25 = -5*c + 5*z. Solve -7*v + v = c*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/270 and 17\/2.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + (4 - (23 + -7)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3001243 and 3?\nAnswer: 9003729","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8 - ((2 - 1) + -1). Suppose 0 = 5*f + 7 - 62. Let q = f - c. Solve q*z - 4 = 8 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6818.301 rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/43074 and 73\/108?\nAnswer: 258444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -359.61856 rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17516 is divided by 240?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-24)\/(-12) + (-60250)\/(-24). Let t = d - 2506. Calculate the common denominator of 67\/8 and t.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 59832, 479633, 1619096, 3838053, 7496336, 12953777?\n\"Answer: 59972*v**3 - v**2 - 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -113 * 0.01.\nAnswer: -1.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, v: 4, b: 1}. What is prob of sequence bvbb?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -2082*p + 161 - 2087*p + 4205*p. List the prime factors of f(40).\nAnswer: 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((0 + -24)\/(-24))\/((-354)\/(-176) + -2).\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 2*h**2 + 2 - 5 - 53*h - 556*h.\nAnswer: -2*h**2 - 609*h - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 9) in base 12?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k**4 + 1 - 1 - 2*k**2 + (k - k - k**3)*(-218 + 7*k + 218).\nAnswer: -9*k**4 - 2*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 77 + 3?\nAnswer: 7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -87 - -87. Solve -3*t - 11 = 5*g + 9, -2*t + 3*g + 12 = z for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -6 + 3\/(-3) - 0. Let x(q) = -3*q - 7. What is the units digit of x(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1034 - -4084. What is p rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/6*(-6)\/(-10). Let k = -1.6 + 1.8. Let r = 0.19 - 0.19. What is the closest to q in -2\/13, k, r?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/4500 and -47\/38700?\nAnswer: 193500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + y - 20*y - 4*y - 3 to the form b + w*y and give w.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the third derivative of 71*m**6\/60 + m**4\/12 - 34*m**3\/3 - 64*m**2. What is the second derivative of y(v) wrt v?\nAnswer: 852*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 155183259?\nAnswer: 3, 7, 11, 17, 43, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 6*-6*sqrt(1539) + (sqrt(171)*5 - sqrt(1216)*-3))*-4.\nAnswer: -8 + 1140*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1126962917?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are 1454 and 132199\/91 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20, -10, -66, -160, -304, -510, -790, -1156?\nAnswer: -1620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -207*b + 206*b + 2 = -5*a, -16*b + 3*a = -186 for b.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 11 = 5*k, 31073*k = 31088*k - 18*x + 279 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 0 - 2 + 4 - 434*l.\nAnswer: -434*l - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 275588 to the power of 1\/2, to the nearest integer?\nAnswer: 525","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 147 - 375. What is the tens digit of q\/((-126)\/(-35) - 4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, 5, -2, -1501 in decreasing order.\nAnswer: 5, 0, -1, -2, -1501","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 108 divide 65287512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 - 5. Suppose 2*i - 3*f = 2, -b*i = -5*i - f + 14. What is the third derivative of x**2 + 3*x**4 + 3*x**4 - x**4 - 4*x**i wrt x?\nAnswer: 24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(4\/9)\/l)\/l)\/(l**(-1\/9)\/l))\/(l**1)**(-8) assuming l is positive.\nAnswer: l**(68\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3822368, -7644739, -11467108, -15289475, -19111840, -22934203?\n\"Answer: r**2 - 3822374*r + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -j + 70. Let l = j - -49. What are the prime factors of l?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 + 13*f**2 - 74*f - 648. Give s(-15).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3939875458 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 80578?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3, -346, 4 in increasing order.\nAnswer: -346, -5, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -104 by 52.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of f**2\/2 - 10*f + 3. Suppose -5*i = u, 2*i - 13 = 5*u + 41. Let z = u + 10. Calculate w(z).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 241543 from 1093040.43.\nAnswer: 851497.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the first derivative of b**3\/3 - 5*b**2 - b - 5. Let n be s(11). Let y(v) = v**3 - 10*v**2 + v - 7. Let o be y(n). Solve -o = -z - 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2. Let u(q) = 25568892*q + 2. Determine u(z(c)).\nAnswer: 25568892*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/((o**(-5)*o)\/o))\/o**(-4\/3))\/((o*o**(-5))\/o*o**(-2\/3)*o)*(o*(o*o*o*o**1)\/o)**17*o**(2\/3)*o**(1\/5) assuming o is positive.\nAnswer: o**(1213\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000686 to five dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of -5\/6*q**3 + q**2 + q + 0. Is c(-9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*j + 84*j = 201 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 2*h + 105 = 3*p, 2*p = -h + 73. Let q be (p\/(-8))\/(33\/(-22)). Find w, given that 2\/3*w**q + 4\/9*w + 14\/9*w**2 + 0 = 0.\nAnswer: -2, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -2*a**2 - a + 1. Let g be w(0). Suppose 3*s = -5*i + g, 5*s - 9 = -0*s - i. Solve -s*b = 7 - 1 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.2, -3\/7, -47?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 137078930 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.462 rounded to one decimal place?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 10}. Give prob of picking 4 e.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2 + 5*z - 3. Suppose -58 - 2 = 3*r. Let l be (-1)\/(24\/r + 1). Give p(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40522.\nAnswer: 2, 20261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2 - 28*w + 144.\nAnswer: -2*(w - 4)*(w + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -372*g*n - 24*n wrt g?\nAnswer: -372*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1091 + -1031. Calculate the least common multiple of l and 120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 88.1005 meters to millimeters.\nAnswer: 88100.5","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 - 22*w**2 - 16*w - 18. What is x(-21)?\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1299*p + 1292*p + 7 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -79 - -74. Which is the third biggest value? (a) l (b) -0.2 (c) 4\/7 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12*12\/6*(-8)\/(-48)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/5 of a second in milliseconds?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 108 and 4482.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -193.7 + 189.7. What is the third smallest value in 1.48, b, -1\/10?\nAnswer: 1.48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 844 - 493. Let k = -100 + q. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + 19750a0b?\nAnswer: 19750a09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*g**3 - 13*g**3 - 5*g**3 + 28*g**3.\nAnswer: 7*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 469 is divided by (133 + 7)*(-30)\/(-50).\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -24749490*g. Let a(f) = 3*f. Calculate d(a(h)).\nAnswer: -74248470*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4003293 + 2*c**3 + 4003293 - 12*c**3 - 2*c + 8*c**3 + 2*c.\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*p**3 + 3595*p**2 - 246780*p - 250380.\nAnswer: -5*(p - 642)*(p - 78)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-2))\/(5\/(-10))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*u - 10*u + 4 = 0, -5*u = -5*m + 15 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - 13023000112?\nAnswer: -13023000103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5.618 in -33, -1\/96, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8216*o + 21595*o + 448319 + 513847 = -1303470 for o.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, 5, 260 in ascending order.\nAnswer: -1, 4, 5, 260","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 - 12. Which is the second biggest value? (a) w (b) 4\/7 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.04, 0.1, -0.00648, 1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -105*h**2 + 2*h**2 - 21*h**6 + 9*h**2 + 24*h**2 wrt h.\nAnswer: -2520*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 399356, 798711, 1198066, 1597421?\n\"Answer: 399355*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 17*s**2 - 4*s - 3. Let d be i(6). Suppose -3265*u + 3842*u = 37505. Calculate the highest common factor of u and d.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (0 + sqrt(2268) + 0)**2.\nAnswer: 2268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 - 22*x**2 - 23*x + 24. Give b(23).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-72)\/54)\/(4\/(-9)). Solve 7 = 4*n + o for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 156*k*r**2 + 341653541*k*r + 534831*r**2 wrt r?\nAnswer: 312*k + 1069662","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 68\/(-18) - 32\/144. Is (q\/(-8))\/(3\/1146) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -615.877 - 0.123. Let w = -615.86 - p. Let c = 166\/9 - 56\/3. Sort 3, w, c in ascending order.\nAnswer: c, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/42582 and -125\/48?\nAnswer: 340656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20 - j - 44 + 10 - 3*j to o + z*j and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 484878?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the third derivative of x**5\/330 + 3*x**4\/4 + 98*x**3\/33 - 174*x**2 - 2. Factor i(l).\nAnswer: 2*(l + 1)*(l + 98)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -569*k**2. Let s(l) = 80*l + 1. What is g(s(i))?\nAnswer: -3641600*i**2 - 91040*i - 569","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -14 + 37377?\nAnswer: 37363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 81, 80, 79?\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6 - -5)\/(-2)*-17422. Round g to the nearest 1000.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -440 divided by -110\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4599752.\nAnswer: 2, 574969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 3 - n**2 + 2*n**2 + 6*n - n**3 - 5*n. Let b be x(0). Suppose 57 = 3*d - b*z, 3*d = 4*z + 1 + 54. List the prime factors of d.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7489*u + 19573*u - 4605*u - 7482*u - 2 + 2.\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3 and 5436.\nAnswer: 5436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -215 + 216. Solve -2*r + 3*r = -g for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -440 + 550?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1559000 rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5024 and 21760.\nAnswer: -109322240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6825 = -12*v - 6789. Let x = -34 - -36. Put x, v, 6 in decreasing order.\nAnswer: 6, v, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + g + 3*x + 15, -4*g - 4*x + 44 = 0. Solve 4*m = -2*m + g for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/4 - 2\/(-4). Let t be a\/5 - 4758\/(-30). Let n = t - 100. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2946672114?\nAnswer: 2, 3, 19, 25848001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3423?\nAnswer: 3, 7, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwxwwxwxwwxx. What is prob of picking 4 x?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2887510 by -35.\nAnswer: 577502\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -5, -0.2, 62, -0.4, -1748?\nAnswer: -1748","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 1 = -5*m - 21, -2*l + 4 = -2*m. Let u be -1 - (0 + 1\/l). Let v = -3 - -2.8. Which is smaller: v or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/6948 and 7\/18.\nAnswer: 6948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 95 and 106685?\nAnswer: 106685","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -6608311 divided by 6608311\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**3\/3 + 139*n**2 + 1681*n\/3 + 421.\nAnswer: -(n - 421)*(n + 1)*(n + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.296 + -81.404. Let s = y - -115. Round s to the nearest integer.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 8:35 AM?\nAnswer: 4:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-28)\/12 + (-4)\/(-3). Suppose -r + 6 = -8. Let y = r - w. List the prime factors of y.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 591*l = -593*l + 326, 0 = -13*x + 9*x + 4*l - 440 for x.\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 468829643 to the power of 1\/3, to the nearest integer?\nAnswer: 777","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1)\/(-22))\/((-4)\/16). Which is the nearest to 0.2? (a) 2\/23 (b) s (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-22) + (-18)\/22. Let u(r) = -4*r. Let g be u(o). Let k(b) = b + 3. What is the units digit of k(g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 times 129680\nAnswer: -259360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -371 (base 11) to base 2\nAnswer: -110111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-13)\/(-78))\/((-3)\/(-36))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a day in hours?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/12 + 7\/(-126)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110101001 - 11?\nAnswer: -110101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 + -2 + (18 - (9 + -18 + 14)) + -2.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 137, -5\/3, -2\/29, -2 in ascending order.\nAnswer: -2, -5\/3, -0.2, -2\/29, 137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5800 - -9004. Suppose -4*t + w = -3152. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -30289 + 209?\nAnswer: -30080","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3710958, 3710956, 3710954, 3710952?\nAnswer: 3710950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 5*p**2 + 2*p - 1. Let h(d) = 2*d**2. Let u(v) = c(v) - 2*h(v). Determine u(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 27545?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -443*s - 1. Let x(j) = -j**2. What is x(k(m))?\nAnswer: -196249*m**2 - 886*m - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 + 10*y**2 - y - 6. Give i(-10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -3*t + 36. Let x be 3*(-1 + 3 - 1). Solve x*f + 3*l + t = 0, f = -3*f - 5*l - 17 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 2 f when four letters picked without replacement from xffhfzhfhhxhfzfzxsf.\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 3) in base 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*q - 46536*q**2 + 45549*q**2 + 88 + 15 wrt q.\nAnswer: -1974","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 3 + 0 = -u + 4, 2*v - 12 - 7 = -3*u + 8*u for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*z**3 - 5*z**2 - 6927*z + 13885809 with respect to z.\nAnswer: -18*z**2 - 10*z - 6927","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**2 + 3*d + 3. Let z be o(3). Suppose 20 = 5*q - 85. What is the remainder when q is divided by (33\/(-12))\/(z\/(-12))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 121659.6cm to micrometers.\nAnswer: 1216596000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3 + 15376*q**2 - 400790*q + 2607332.\nAnswer: 2*(q - 13)**2*(q + 7714)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -5*s**2 - s + 4. Let n(r) = -2*r + 4*r**2 - 3 - r + 4*r. Let x(a) = 6*n(a) + 5*v(a). Let j(m) = -5*m**3 + 11*m + 10. Let o be j(-1). Determine x(o).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -618, -1419, -2742, -4575, -6906, -9723, -13014?\nAnswer: -16767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -8\/7, -3, -2\/3, 24.64.\nAnswer: -3, -8\/7, -2\/3, 1\/3, 24.64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 8) in base 3?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 911466091?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 63*w**2 - 14*w**2 - 839 + 435 + 59*w**2 + 433 to the form h*w + b*w**2 + v and give b.\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1019*n + 1076 + 1234 = -136*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 9.025337 centimeters?\nAnswer: 90253.37","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnlnlrnololroo. Give prob of sequence oo.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + 64845493?\nAnswer: 64845492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14995 = -2827*m + 38718 for m.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 96 and 107907.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -64 + 24 + 1111*o**2 + 40 as v + a*o**2 + y*o and give a.\nAnswer: 1111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l + 9. Suppose 3*g = 5*f - 15, -g + 2*g = -5*f + 35. Let o be n(f). Solve m = -5*c + 2*m - 24, o*m = 4*c + 28 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1998*h = 1994*h - 40 for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 6*h - 3. Let f(l) = 10*l**2 - 116*l - 449. Let o be f(-3). Let k(s) be the second derivative of -17*s**3\/6 + 9*s**2\/2 - s. Calculate o*d(q) - 4*k(q).\nAnswer: 2*q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 609033.6l to millilitres.\nAnswer: 609033600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27272 is divided by 1136.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 74765 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*r + 86*r - 280590 = 0. What are the prime factors of r?\nAnswer: 2, 3, 5, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56934\/211 not equal to 270?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 16 (base 16) to base 13\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/60 and 89\/197292.\nAnswer: 986460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-16)*t**(-13))\/(t**(2\/5)*t**1))**43 assuming t is positive.\nAnswer: t**(-6536\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-426)\/(-5) - (-390)\/(-325). Calculate the highest common divisor of o and 238.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 830 = -377*g + 2715 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5336293 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, y: 2, h: 2, s: 4, d: 4}. Give prob of picking 1 y and 1 d.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.26 and -0.02543.\nAnswer: -0.28543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b**(13\/2)*b**17*(b\/((b\/b**24)\/b)*b)**(-4\/27) assuming b is positive.\nAnswer: b**(1115\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3537, -2771, -1495, 291, 2587, 5393, 8709?\nAnswer: 12535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 70622, 141236, 211818, 282350, 352814?\n\"Answer: -3*l**3 + 2*l**2 + 70629*l - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9195505 and 990?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 2*j**3 + 9*j**2 - 8*j - 8. Let f be i(-6). Let t be (-158)\/(-8) + 51\/f. Suppose -t*g + 30 = -16*g. What is the least common multiple of 22 and g?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132)\/(sqrt(36) + sqrt(36) + sqrt(900)))\/(3*-1*sqrt(12)))**2.\nAnswer: 11\/15876","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 5 + 16 - 3*m - 36 + 18. Let b(i) = -16*i**2. Calculate p(b(q)).\nAnswer: 48*q**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -230.\nAnswer: 1\/230","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = 4*a, 78*q + 5*a = 75*q - 8 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 192 is divided by 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1101 - 122?\nAnswer: 313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9320276\/111 + -83967. Find the common denominator of 46\/15 and q.\nAnswer: 555","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((-3)\/(-4))*49977\/(-11106)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**2 - 25*m - 120. Let s be h(-25). Let n = -117 - s. Calculate the highest common factor of n and 24.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 486, 474, 460, 444, 426?\n\"Answer: -y**2 - 9*y + 496","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*((t*t**(-2\/3)\/t)\/t)\/t)**(-26))**7)**(-15) assuming t is positive.\nAnswer: t**(-4550)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-9706)\/(-552) + (-1 - (-5)\/3) and 41.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22224221471 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -558 + 554. Which is the closest to -0.4? (a) 0.3 (b) 6 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17806 - -124643\/7. Which is smaller: 461 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(13) - sqrt(325)*-3) + sqrt(13)).\nAnswer: 34*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r - 21. Let p be 3 + (-14)\/2 - 20. Let s be t(p). Suppose y = -2*g + 13, s*y - 17 = -2*g - 2*y. Solve 0 = -g*i + i - 5 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 170 = 5*q, -4*q = -2*v - 126 + 14. Solve 5*g - 5*a = q, 5*a = -11 + 1 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i - 12. Let m be u(-13). What is the highest common divisor of m and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/6)\/m**(-1\/7))\/(m**(-2\/7)*m**5) assuming m is positive.\nAnswer: m**(-185\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 161 and 145243.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 60072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*y = 462 - 182 for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29, 109, 191, 275, 361, 449, 539?\nAnswer: 631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 5*n**2 + 235*n - 1020 = 0.\nAnswer: -51, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and -363.1448?\nAnswer: -1089.4344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -46 in -0.4, -0.5, 0.1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7071 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 930 - 905.11. Let f = 25 - b. Let t = 0.17 - f. What is t rounded to one dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*a**2 - 2*a**2 - a**4 + 1 + 4*a**4 + a**2 to the form l*a**3 + q*a**2 + m + z*a**4 + g*a and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 4*a = 10, 3*a + 2 = 2*v. Let i(t) = 14*t - 33. Is i(v) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 137823094*c**5*h + 2*c**3*h**2 - 167*c**2*h + 432*c**2 + 271*c*h**2 wrt c?\nAnswer: 8269385640*c**2*h + 12*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5089249 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + 7. Let m(c) = c**k - 6*c**2 - c + 6 + 8*c. Let d = -17 + 11. Let w(u) = u**2 - u - 1. Calculate d*w(g) - m(g).\nAnswer: -g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -7, 14 in decreasing order.\nAnswer: 14, 5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 - 7 = 9*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -24 + 25. Let o = 8 - 3. Let l be o\/10*n*28. Solve 4*w = k + l, -5 = 4*k - w + 2*w for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 10:33 PM?\nAnswer: 2:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 + 6*s**2 + 6*s + 3. Is d(-3) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x. Let t be g(-4). Suppose 2*f - 4*n - 10 = 4, t*n = -4*f - 8. Sort 3, -5, f in decreasing order.\nAnswer: 3, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2222001 (base 3) to base 14.\nAnswer: -b05","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/3 and -37\/60333?\nAnswer: 60333","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wvnwnwvwnwnvwi. Give prob of sequence wi.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -577 - 168?\nAnswer: -745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 9487.1574 microseconds in days?\nAnswer: 0.0000001098050625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/7 or 861442?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:35 PM and 7:27 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 48 - 93 - -88 - -27 - (14 + 0)\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 486?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15.7 + 16. Let y = 0.7 + 0.3. What is the nearest to y in o, -4\/5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 124.96 times 0.263\nAnswer: 32.86448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12\/4*(2 + 116\/6) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32\/336 + (-1730075)\/(-105) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 69 + -49. Let m = 28 - z. Calculate the smallest common multiple of m and (3\/(-9))\/((-4)\/336).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from araatraaztaaaa. Give prob of picking 1 t, 2 r, and 1 a.\nAnswer: 18\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 3\/3)\/((-2)\/(-8))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2938223361 a multiple of 426?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 + 2*g**2 + g - 2. What is h(-3)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence au when two letters picked without replacement from vaouiar.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 90*n**2 - 10*n**2 - 28*n**2 - 26*n**2 - 27*n**2. Let v(o) = 1179*o**2. What is v(i(s))?\nAnswer: 1179*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 2*f + 20 = -5*p, 3*p + 12 = 2*f. Let h(j) = -j**2 - 6*j + 10. Let u be h(p). Solve -2 = 5*m + u for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 316.319432 to 0 decimal places.\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 344*p + 4139. What is g(-12)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3301130021 (base 4) to base 15\nAnswer: 148042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*a - 177*a + 66080 = 334*a for a.\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12119 + 15468. Does 5 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25214 divided by -7?\nAnswer: 3602","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*y - 196 - 25 - 65 = 0 for y.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2301 - -2304. Suppose 6*x - 6 = 3*x. Solve -x*w - b*w = 4*j + 6, 3*j - 11 = 4*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the first derivative of 134*k**5\/5 - 2*k**3\/3 - 64*k**2 + 242. Find the second derivative of w(a) wrt a.\nAnswer: 1608*a**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.07 in -2, 2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -136, -120, -90, -40, 36, 144, 290?\n\"Answer: c**3 + c**2 + 6*c - 144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 a when two letters picked without replacement from bimbbbmaibaapmb.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2393 + 3085. List the prime factors of h.\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3\/2 + 35*w**2\/2 - 112*w - 130.\nAnswer: -(w - 26)*(w - 10)*(w + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 - 37?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the second derivative of z**4\/12 + 9*z**2\/2 - 1399*z. Suppose 2*x + 0*x = 0. What is the least common multiple of 1 and m(x)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tg when two letters picked without replacement from {t: 1, z: 1, g: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -11.32682315 to 1 dp.\nAnswer: -11.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of 1\/20*j**5 - 1 - 1\/12*j**4 + 0*j**2 - 2*j - 1\/3*j**3. Let s(a) be the first derivative of b(a). What is w in s(w) = 0?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/21)\/(63\/(-49))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1811828 to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -54\/371 or 0?\nAnswer: -54\/371","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - -11981?\nAnswer: 11984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1212 - -1691. Is 20 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -2\/23, -4\/7, 0.3, -0.874?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the first derivative of -37*d**4\/24 - 5*d**3\/2 - 20*d**2 + 17. Let c(l) be the second derivative of p(l). Find the first derivative of c(j) wrt j.\nAnswer: -37","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11)*2*3 + 2.\nAnswer: 2 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*d - 1826 + 272 = 0 for d.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(425) + 1 + -4)*-3.\nAnswer: -54 + 90*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -334*p + 374 = -294 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*v - v**2 + 4*v - 2*v in the form p*v**2 + o*v + l and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3080533?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.015 - 3.985. What is the closest to 0 in 0, 0.1, x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11710, -11712, -11716, -11722?\nAnswer: -11730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-100*m + 41 - 41 + 3*m + 2*m - 3*m + (-1 + m + 1)*(-2 + 6 - 2) + 0*m - 2*m + 3*m)*(-2 + 5*m + 2).\nAnswer: -475*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1783.\nAnswer: 1783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes after 6:58 PM?\nAnswer: 2:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 + f. Let h be q(2). Let m be (5\/h)\/((-3)\/(-18)). Calculate the least common multiple of 1 and (-3 + 1)\/(m\/(-6)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30310 = -7480*f + 7047*f for f.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 10) in base 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + 7. Suppose -2*t - 382 = -4*l, -l + 5*t + 397 = 3*l. Let i = -78 + l. What is the remainder when i is divided by b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.89377 kilograms in micrograms?\nAnswer: 14893770000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -49380 - -1629376\/33. Are h and -5 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 171? (a) -2\/5 (b) 1\/2 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110224*z**2\/3 + 37253720*z\/3 + 3147771025\/3 = 0. What is z?\nAnswer: -56105\/332","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -62 * 9954.\nAnswer: -617148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23820 divided by -5955.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the third derivative of -25*p**9\/252 - 7*p**5\/10 - 31*p**2. What is the third derivative of b(q) wrt q?\nAnswer: -6000*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3446 - 1746. Does 17 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 232\/118 - 1 - 1. Let s = c + 63\/118. Which is smaller: 1 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 215170.47 months in centuries?\nAnswer: 179.308725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 54, -0.4, 0.09?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3\/7 + 74*q**2\/7 + 740*q\/7 + 1200\/7.\nAnswer: 2*(q + 2)*(q + 15)*(q + 20)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 99*p**3 + 25*p + 108*p**3 - 198*p**3 wrt p?\nAnswer: 54*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t - 2*t**2 + 2*t)*(-132 - 157 - 58)*(-4 + 3 + 2).\nAnswer: 694*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -223*v - 199*v = 6330 for v.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*l**4 + 31*l**3 + 85*l.\nAnswer: 24*l**2 + 186*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 3 y when four letters picked without replacement from yyeeyeeeeeeeeeeeeye?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -380*h**3 + 907*h**3 + 1353*h**3.\nAnswer: 1880*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express ((1 - 2 + 2)*(-2 + 2 + n) + 3*n + 10*n - n)*(-4*n - 3*n - 2*n) in the form l + y*n + t*n**2 and give t.\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*q**5 + 6*q**5 - 17*q**5 + q wrt q.\nAnswer: -120*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -43870, -43885, -43888, -43861, -43786, -43645?\nAnswer: -43420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 24*a - 67. Let c(i) = 8*i - 22. Let v(m) = -8*c(m) + 3*x(m). Give v(5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28050876 divided by -36.\nAnswer: 779191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 13) to base 3\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 3*k + 2*k. Factor 4*a + k*a - 5*a + 3*a**2 + 3.\nAnswer: 3*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001428 to five decimal places.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -317494 or -317669?\nAnswer: -317669","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14000*x**5 - x**3 - x**2 + 2529*x + 4 wrt x?\nAnswer: 280000*x**3 - 6*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (4*(-1)\/1)\/((-495)\/(-14850))*14\/35?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of -3*d**2\/2 - 9. Let g(j) = 4*j - 7. Let c = -4 - -11. Let a(u) = 3*u - 5. Let b(o) = c*a(o) - 5*g(o). What is b(i(f))?\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 29830418447 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -203270.4 to the nearest one thousand.\nAnswer: -203000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.5 + -3. Let s = 0.32 - 0.22. Let p = -7 - -3. Which is the closest to s? (a) f (b) -2 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/15 and -47\/684285.\nAnswer: 684285","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -2*h**3 + 18*h**2 + 27*h + 192. Give m(11).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -4 - (2 + -3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-8)\/(-7))\/(210\/(-147)))\/((-148)\/19610).\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -22 + -435?\nAnswer: -501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 130248710.5979 + 1.1.\nAnswer: 130248711.6979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 36*y. Let m be g(1). Suppose -i = -0 - m. Calculate the highest common factor of 4 and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1331*b + 7158 = -99322 for b.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11528 and 253880.\nAnswer: 33258280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 70.67854 millimeters?\nAnswer: 70678.54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6 + -1 + 0\/2. Suppose -d*l = -8 + 23. Put l, 3, 0 in ascending order.\nAnswer: l, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 377296.7m to centimeters.\nAnswer: 37729670","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.5 (b) -1\/4 (c) -6 (d) 3\/2 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1)\/(-2))\/((-1)\/72). Let t be ((-20)\/(-8))\/((-2)\/l). Let p(n) = 2*n - 17. Let f be p(16). Calculate the greatest common divisor of t and f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - 1. Let h be -1*2\/p*-1. Let j(r) = -4*r**3 - 3*r + 3. Let x(z) = 2*z - 39. Let o be x(18). Let n(w) = w**3 + w - 1. Give h*j(i) + o*n(i).\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 310193?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -4798*v + 2. Let w(c) = -2*c**2. Calculate n(w(k)).\nAnswer: 9596*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.149129 - -0.1491443502. Round k to seven dps.\nAnswer: 0.0000154","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 15*n**4\/7 + 148*n**3\/7 + 25*n**2 - 386*n\/7 + 48\/7 = 0. Calculate n.\nAnswer: -8, -3, 2\/15, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(-1\/4)*k*k)\/(k**2\/k))\/((k*k**(-8)*k)\/((k\/(k\/k**(-1)*k))\/k)))**(21\/8) assuming k is positive.\nAnswer: k**(315\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 16237, 16236, 16235, 16234, 16233?\n\"Answer: -g + 16238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -2*q**3 - q**2 + 3*q + 7. Let d(b) = -3*b**3 - 2*b**2 + 6*b + 13. Calculate 4*d(l) - 7*m(l).\nAnswer: 2*l**3 - l**2 + 3*l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3100 rounded to the nearest ten?\nAnswer: 3100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4449, 9597, 14747, 19899, 25053, 30209, 35367?\nAnswer: 40527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 180.3999 - 0.1999. Let d = x + -211. Let r = d - -31. Which is the nearest to 0.1? (a) -2 (b) r (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2329657, -3, -5 in ascending order.\nAnswer: -5, -3, 2329657","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 3 - 15 = 0. Let b(m) be the second derivative of 10*m + 7\/2*m**2 + 0 - 1\/6*m**3. Determine b(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*x = 14*x - 48. Suppose -2*p - 10 = 0, 0 = 4*c + 4*p - 49 + 1. Suppose c*m - 71 = x*m. What are the prime factors of m?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.06, -0.03, 4\/5, 2\/19?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -94*s**2 - 361*s + 18*s**2 + 16*s**3 + 473*s - 48 = 0.\nAnswer: 3\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-3))**19)**(-5\/3)\/((((r\/(r*r\/(r\/(r**4\/r))))\/r)\/((r\/(r*r**(2\/3))*r)\/r))\/(r*(r*(r**(2\/19)*r)\/r*r*r*r)\/r*(r*r*r**6)\/r)) assuming r is positive.\nAnswer: r**(6238\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 540 and 360.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 21226?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -53*a**2 + 182*a**2 - 89*a**2. Let u(q) = -8*q**2 - 6*q - 6. Let b(h) = 7*h**2 + 5*h + 5. Let f(t) = -6*b(t) - 5*u(t). What is j(f(v))?\nAnswer: 160*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times 23546\nAnswer: -11773","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 + 10*w**2 - 8*w - 9. Let k be h(9). Suppose -5*l = d - 4*d + 13, k = -4*d + 4*l + 28. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 + 1 + 9 + 50*t - 49*t + 7*t**2 + 2*t**2. Let i be g(-9). Let y be ((0 - 2)\/1 - i)*-2. Solve -y = 4*z - 26 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**2 - 9*g - 2. Let l(h) = h**2 + 17*h + 3. Give 4*l(d) + 7*q(d).\nAnswer: -3*d**2 + 5*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -635, -632, -629, -626, -623?\n\"Answer: 3*p - 638","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + ((-28)\/49)\/(2\/(-14)). What is the second smallest value in -0.5, g, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.8, 5, 0.3 in increasing order.\nAnswer: -2.8, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 3*j = -146, 5*j = -2*q + j + 50. Suppose q = -3*v + 418. Is v a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-264)\/38 + -1 - (-5936)\/742\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-1) - (5 + 14). Let h(p) = 3*p + 22. Give h(l).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.1 - 0.3. Let q(m) = m**3 - 5*m**2 - m + 4. Suppose 0 = 2*p - 14 + 4. Let w be q(p). Put g, w, -3 in ascending order.\nAnswer: -3, w, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*q + 136 = 4*q for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 18, 63 = 3*v - 207*c + 203*c. Put 0, -4, 3, -1, v in decreasing order.\nAnswer: v, 3, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 66869260?\nAnswer: -1\/16717315","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -1722632 >= -1722634?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1473*k**3*n + k**3 + k**2*n + 3*k - 316*n wrt k?\nAnswer: 8838*n + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -6, 10, 60, 162, 334, 594, 960, 1450?\n\"Answer: 3*a**3 - a**2 - 2*a - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 169141.\nAnswer: 7, 73, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2410 in -3, 0.029, 0.1, -0.08, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 800520 divided by 15?\nAnswer: 53368","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 15075, 15028, 14981?\n\"Answer: -47*j + 15122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 72, 76, 70, 48, 4, -68, -174?\nAnswer: -320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2815392)\/(-1) + 231\/(-6)*168\/(-924) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 6:23 PM?\nAnswer: 6:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*k**3 - 4*k**3 - 3*k**4 + 146*k**4 - 217*k**4 + 112*k**4 - k + k**4 + k + (4 - 4 - 2*k)*(-k**3 + 2*k - 2*k).\nAnswer: 41*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1859?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 80445, 163061, 245677, 328293, 410909, 493525?\n\"Answer: 82616*y - 2171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) -3 (b) -18 (c) 2 (d) 499 (e) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3223615?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1939?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-108)\/567)\/(24\/(-21))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 0*j - 27 = 0. Is 9 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2526 is divided by 2518?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.009 + 0.039. Let r = -2.03 + k. What is the nearest to r in 1, 0, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 - 7*d**2 - 4. Let y = 45 - 38. Give z(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 15) in base 4?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 690\/844489 or -1?\nAnswer: 690\/844489","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -24891561 and 0.4.\nAnswer: -9956624.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2578165594.\nAnswer: 2, 19, 199, 340937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is d (base 15) in base 11?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -8*a + 12. Let k be r(0). Solve 5*y - y - k = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 2*v + 6 = 0, -r - 79*v = -78*v - 3 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, 322671624.\nAnswer: 3, 4, 322671624","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1098.\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 162\/2673*(-4554)\/(-6)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1048, 2134, 3220, 4306, 5392, 6478?\n\"Answer: 1086*j - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6104900 or 1?\nAnswer: -6104900","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 b when two letters picked without replacement from {n: 1, b: 2, s: 4, e: 4}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 - 14*n**2 - 11*n + 29. Let z be p(-13). Suppose 0 = 7*g - 5*g - 12. What is the greatest common factor of z and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 750*j + 1330 = -12920 for j.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -37 + 39 + -29 + 85\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8741 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2310 - -2260 - (-1 + 2).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4628 is divided by 100?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 341 - 1448*l + 342 - 684 to g*l + o and give g.\nAnswer: -1448","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1977\/7 + -282. Which is the closest to -2? (a) t (b) 0 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14.9 - -15. Is -2\/9 <= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -15*v**2 - v. Let k(t) = -29*t**2 - 3*t. Let b(q) = 2*k(q) - 5*l(q). What is the least common multiple of 8 and b(-1)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n**4 - 14909*n**3 - 807897*n**2 - 1571063*n - 778076 = 0.\nAnswer: -52, -1, 14963","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*284.\nAnswer: -113.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*z**4 - 99*z**3 - 24*z**2 + 396*z + 336 = 0. What is z?\nAnswer: -28\/5, -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(3 + (-8)\/2) + 1. Sort z, -4, 0, 5 in decreasing order.\nAnswer: 5, z, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -79169, -633244, -2137127, -5065712, -9893893?\nAnswer: -17096564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3651268 to the power of 1\/3, to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 42316649 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.289981999 rounded to 1 decimal place?\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -28 - -67. Let s = 98 + 19. Let z be (s\/(-36))\/((-1)\/12). What is the highest common divisor of z and n?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11068507 to the power of 1\/2, to the nearest integer?\nAnswer: 3327","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-84)*-2)\/(-78*148\/46176)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -225*k**5 + 2260*k**4 - 5725*k**3 + 250*k**2.\nAnswer: -5*k**2*(k - 5)**2*(45*k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d + 0*d + 6*d - 2*d - d - 2*d + (2 + 0 - 1)*(-d - 2 + 2).\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -240 + 268 = -5*x + 4*w, 3*w = -5*x - 14 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3798 - 5882 = -8*l. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -62, -153, -276, -431, -618?\nAnswer: -837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 128 - 124. Let y(x) = 2*x - 4. Let z be y(3). What is the second derivative of -9*a - 3*a**4 + 5*a**m + 2*a**2 - 2*a**z wrt a?\nAnswer: 24*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 80 in -5, 2, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -52640 to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -232*z - 3187. Let l be v(-20). Solve 0 = -1450*s + l*s - 21 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 36 + -250\/7. Let o be ((-23544)\/260)\/18 + (-1 - (-12)\/2). What is the third smallest value in -4, -2, o, w?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18*s**5*w - 4517718*s**3*w**3 - 824*s**2*w**3 - 2*s**2*w**2 - 267*s**2*w + 5*s**2 - 8*w**3 + 3*w wrt s?\nAnswer: 1080*s**2*w - 27106308*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3\/4, 2, -0.1, 0.4, 30\/533?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1209347 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 59803169 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -22*n**3*q*x**2 + 2*n**3*q*x + 10*n**2*q*x - n**2 - 3*n*q*x + 7*n*x**2 wrt n.\nAnswer: -132*q*x**2 + 12*q*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 4*k. Suppose 0 = -5*p - 4*s + 67, -2*p + s + 14 + 5 = k. Let l(b) = -b**2 - 2*b - 2. Let g(r) = -5*r**2 - 11*r - 11. Calculate p*l(m) - 2*g(m).\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 13*y**2 - 2*y. Let a(u) = -1321*u**2. What is j(a(x))?\nAnswer: 22685533*x**4 + 2642*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83355595?\nAnswer: 5, 137, 121687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 73.4 + -70.4. Let h be 0 + -1 + 2\/10. What is the third smallest value in p, -3, h?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 222 a factor of 588744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1\/3 (b) -0.01 (c) 1 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1182 - -1184. Let z = 380\/21 - 108\/7. Factor -4\/3*x**3 + 4*x + 0 - z*x**i.\nAnswer: -4*x*(x - 1)*(x + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 + 80 = 18*s - 19. Let f be (-1 - -7)\/((-12)\/(-8)). Suppose -c + 3 = f*h, -h - 3*c = 2*h + 9. Solve h*a - 4*t = 16, t - 11 = -s*a + 2*t for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the second derivative of 19*k**6\/30 - k**3\/3 + 15*k. Find the second derivative of p(q) wrt q.\nAnswer: 228*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -49*y**3 + 14*y - 14. Let x be (54\/45)\/((-3)\/(-35)). Let l(a) = -10*a**3 + 3*a - 3. Give x*l(k) - 3*f(k).\nAnswer: 7*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 56202577 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and -155086?\nAnswer: -620344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 2 = -10. Suppose 3*h - 4*h - 5*d = -32, 0 = 2*h + 3*d - 29. Solve h*r - x*r + 15 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9377 divided by 9377.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 19752224 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, l: 4, s: 5, n: 4, a: 1}. What is prob of sequence cns?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, j: 1, l: 1, v: 1}. What is prob of picking 1 j and 1 v?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6\/23? (a) 16\/7 (b) -2\/117 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 5:43 PM?\nAnswer: 2:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 617*g + 231*g + 4580 = -297*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (9 - (-9 + -9 + 58)) - -9\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (33 - (-33 - -63)) + 8.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - -1) + -6 + 31 + -32.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 3*u**3 + 8991*u**2 + 8982009*u + 2991008997 = 0.\nAnswer: -999","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 681 + -315. Is 6 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71970421 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 174842 is divided by 289?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1028717?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 927*n**3 - 5*n + 348. Let l(a) = 3*a**3 - a - 1. Let q(i) = 6*l(i) - u(i). Find the second derivative of q(h) wrt h.\nAnswer: -5454*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w**4\/7 - 78*w**3\/7 - 148*w**2\/7 = 0. What is w?\nAnswer: -37, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 298 divide 308430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*i - j + 22667, -2*j - 5046 = 5*i - 7*i. What is the remainder when i is divided by 105?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55764.6km in nanometers?\nAnswer: 55764600000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -345, 12, -88, 2.\nAnswer: -345, -88, 2, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 + 2\/((-4)\/(-98)). Suppose 0*c = 3*c - v. Suppose 4*s - c = 2*s. Solve -4*x + 2*x = s for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 99*t**4 + 0 + 2*t - 101*t**4 - 1 to a*t**4 + c*t + q*t**2 + v + d*t**3 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -75, 0.4, -4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g**4 + 4*g**3 - 26*g**2 + 20*g = 0. What is g?\nAnswer: -5, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 16 = 140. Let k be (-176)\/10 + (-8)\/20. Let i = k + a. Calculate the remainder when 24 is divided by i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 at least as big as -0.097419?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -1, 31\/4, -0.3?\nAnswer: 31\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s = 4*s. Solve s*x = 3*x - c + 5, 4*c + 22 = -2*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*u = t + 5*u - 10, -u - 26 = -5*t. Let k(h) = h**3 - 5*h**2 - 4*h + 21. Let l be k(t). Which is smaller: l or 7\/19?\nAnswer: 7\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 + 12. Suppose -j*q + 6*q = -32. Let l(o) = o**3 + 10*o**2 + 11*o - 3. What is the tens digit of l(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -4*a**4\/5 - 18*a**3\/5 + 12*a**2 + 274*a\/5 + 24 = 0.\nAnswer: -5, -3, -1\/2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**2 - 15*l - 47. Let b be s(-5). Suppose -3*i = -b*h - 2 + 11, h - 21 = -5*i. Let o(f) = 6*f - 7. Calculate o(h).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 207017.9 to the nearest one thousand.\nAnswer: 207000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*w = -42*w - 10, -3*i - 2*w - 1 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from esdloorrlsdssed. What is prob of sequence dsso?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 2*l**2 - 6*l - 1. Let z = -3 - 1. Is s(z) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -870245, -870236, -870227, -870218, -870209, -870200?\n\"Answer: 9*c - 870254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 40 + -118. Let n = -319 - a. Let l = -255.7 - n. What is l rounded to 0 decimal places?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of 0*h + 1\/60*h**6 - 29*h**2 - 1\/60*h**5 - 1\/12*h**4 + 1\/3*h**3 + 0. Is s(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 6*c - 4 = 0, 3*i + c = 811. Suppose f - 63 = -4*r, r + i = 4*f - 2*r. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21.53393 millimeters to kilometers.\nAnswer: 0.00002153393","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5607, 2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -36440 + 51083. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.1, 0.938, -2\/7, -0.3, -3, 31?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -1\/3 (b) -0.4 (c) 1 (d) -10.74 (e) 1.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 14089820?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/8 (b) -0.1 (c) -21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*p + 515 + 477 = 22*p for p.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, 5, 9, 13, 17?\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 3 b when four letters picked without replacement from {b: 5, l: 8, f: 5}?\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in three tenths of a meter?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 37 = -4*u - 0*t, 4*t - 20 = 0. Suppose -3*n - 8 = u*g - 7*g, -g + 2*n + 12 = 0. Suppose -4 = -g*i - 4. Solve -h + 4*h = i for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -3*h**4 - 3456*h**3 + 105897*h**2 - 570906*h = 0?\nAnswer: -1182, 0, 7, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(1\/18))**(-10\/9) assuming o is positive.\nAnswer: o**(-85\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -101, -103, -105, -107, -109, -111?\nAnswer: -113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 104 and 39?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 759, 760, 761, 762, 763?\n\"Answer: y + 758","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 5*o = 50, -2*o - 3*o + 30 = 3*g. Differentiate 15 + 6*n + 10 + g*n + 6*n wrt n.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*((2*sqrt(162) - sqrt(162)) + sqrt(162)) - sqrt(162))\/(sqrt(96)\/sqrt(4)))**2 + -3 + sqrt(12)\/sqrt(4)*-1 + sqrt(30)\/(sqrt(10)*-2) + -2.\nAnswer: -3*sqrt(3)\/2 + 223\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 982691, 1965378, 2948065, 3930752, 4913439, 5896126?\n\"Answer: 982687*y + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 32115 divided by -5\nAnswer: -6423","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4058 or 4075?\nAnswer: 4058","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/4*4\/54.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -12*j**2 - 6*j + 65. Let z(r) = 13*r**2 + 7*r - 63. Determine -7*v(u) - 6*z(u).\nAnswer: 6*u**2 - 77","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 138.34 and 45251148?\nAnswer: 45251009.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 882.8094 centuries in decades?\nAnswer: 8828.094","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6898988296.\nAnswer: 2, 862373537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 + 43*u**2 - 36*u - 20. Is b(-42) a multiple of 110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k**3\/5 - 52254*k**2\/5 + 626184*k\/5 = 0. Calculate k.\nAnswer: 0, 12, 8697","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 PM and 8:20 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 139*j**2 - 2*j + 5. Let z(r) = -2*r + 14. Let h be z(6). Is x(h) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 + 3*(-2)\/6. Let t be (j - 23106\/1624)*2790\/16075. Let f = t + 2\/18647. What is the common denominator of 89\/6 and f?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49261 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:11 AM and 8:20 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {q: 2, m: 4}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 3*x**2 + 4*x + 2. Suppose 7*w + 694 = 680. Calculate d(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1297 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 2*t**2. Let p(r) be the first derivative of -r**3 - 4*r - 3. Let w(o) be the first derivative of p(o). What is l(w(m))?\nAnswer: 72*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1408 a factor of 65863565?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -6*m**3 - 4*m**2 - 4*m + 2. Let v(g) = -11*g**3 - 7*g**2 - 7*g + 4. Let k be 3*((-6)\/9 - -3). What is k*z(c) - 4*v(c)?\nAnswer: 2*c**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 63798*a**2 + 4*a - 5548791?\nAnswer: 127596*a + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -13*p + 5*p - p**2 - 4*p - 3. Let o be l(-9). Let m be (-1084)\/(-18) - (-2)\/(-9). Calculate the greatest common factor of o and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 25940181 to the nearest integer?\nAnswer: 296","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 318\/(-318)*14\/2.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -11*d**3 + 53*d**2 + 2*d + 34. Calculate s(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -18935*u**4 - 841*u**2 + 78237341 wrt u.\nAnswer: -75740*u**3 - 1682*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -9*i**2 - 3*i - 2*i**3 - 11*i + 13 + 3 - 25. Let a be -6 + 4 - (1 + 2). Is x(a) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14669117 is divided by 211.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 6*f - 3. What is d(-4)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 2, -0.55, 0, -4, -728, -1.59?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 + -8. Let a be ((-56)\/(-4))\/(2 - 0). Suppose 2 = -5*c + 3*x - 10, -c - a = 4*x. Is t equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the first derivative of -m**5\/5 - 11*m**2\/2 - 10. Find the second derivative of x(w) wrt w.\nAnswer: -12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 6*q + 62 = 0, -m + 4*q + 791 = 788 for m.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13*x**3 + 112*x**2 - 112*x**2 - 36 + 7*x**4 - 9*x**4 with respect to x.\nAnswer: -8*x**3 - 39*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (4\/(8\/9))\/((-2)\/(-44)) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -d + 3*v + 78, -39 = -d - 4*v. Suppose 42*l - 3 = d*l. Let i(u) = -19*u**2 + 2*u - 1. What is i(l)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1160 - 16*q + 150 + 1010.\nAnswer: -16*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.35, 0.04, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-6)\/(-27))\/((-6)\/36))\/(-34)?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 34942, 70016, 105090, 140164?\n\"Answer: 35074*t - 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 16*j**2. Let h(r) be the second derivative of 5*r**4\/6 + 2804*r. Calculate h(v(n)).\nAnswer: 2560*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3498?\nAnswer: 2, 3, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seventy-five eighths of a hour?\nAnswer: 33750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 117005564?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -126 times -6?\nAnswer: 756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4095 - 4094.87142. Round v to 3 dps.\nAnswer: 0.129","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-44)\/(-12) + (-4)\/6. Let n = -43 + v. Find the common denominator of -75\/14 and n\/55*100\/16.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15215361 (base 7) in base 16?\nAnswer: 161eec","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-28)\/98)\/((-24)\/28). What is the nearest to 1 in x, -14, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 1 - 3 - 17 - 7*r - 36*r. Let k be p(-8). Calculate the remainder when 23 is divided by (-4)\/(-6) + k\/39.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.06 - -2.94. Let b = -890 + 1741\/2. Let k = 77\/4 + b. Sort 1\/2, k, l in descending order.\nAnswer: l, 1\/2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 490?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 310 divide 1951200051?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (3 + -1 + -1)) + -3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s. Let o(p) = -p + 13 + 3*p - 13. Give o(t(u)).\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 8265 a multiple of 95?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 5280.6717 to the nearest integer.\nAnswer: 5281","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (8\/10)\/(6\/(-24)). Which is greater: -2 or w?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - 2*s + 3 + 1, -s + 6 = 3*d. Suppose d*h = 7*h. Factor 2\/7*x - 2\/7*x**3 - 2\/7*x**4 + h + 2\/7*x**2.\nAnswer: -2*x*(x - 1)*(x + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2950851 by -983617.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*(p\/(p**(-1\/2)\/p))\/p*p)**8 assuming p is positive.\nAnswer: p**28","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1434.396 millilitres in litres?\nAnswer: 1.434396","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1146 is divided by 232?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 174682.\nAnswer: 2, 167, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 63.8 + -64. Let j = 709\/2133 - -2\/2133. Put c, -1, -3, j in ascending order.\nAnswer: -3, -1, c, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and 30946926?\nAnswer: 154734630","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h - 1. Let m(p) = 7*p + 3. Let t(j) = 13*j + 5. Let v(z) = -5*m(z) + 3*t(z). Give -2*o(d) + v(d).\nAnswer: 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, u: 1, y: 4, s: 2, p: 1, t: 2}. What is prob of picking 2 y?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -2\/1303 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.4984 rounded to 1 dp?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than 3\/2968?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -55, -31, 85, 293, 593?\nAnswer: 985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -932, -932, -934, -938, -944?\nAnswer: -952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1979409135558 + x + 1979409135558.\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 594*a - 633*a = 351 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 815?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 19) + (-7 - (-18 - -5))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 484127195 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 41766 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -68, 1\/4, 8?\nAnswer: -68","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*i = -177*i - 153*i - 4318 for i.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - -14. Let b = 187 + -106. What is the highest common factor of b and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9434307 a multiple of 879?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -382*k + 2326. What is z(3)?\nAnswer: 1180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28, 61, 82, 85, 64?\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 115\/3 - (-10)\/15. Let i(v) = -v**3 + v**2 + 6*v + 8. Let t be i(-3). Calculate the greatest common divisor of t and z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n**(-4\/17))**(-1\/9)*((n*n\/(((n\/(n\/(n**(4\/3)*n))*n)\/n)\/n)*n)\/n*n)**(-33) assuming n is positive.\nAnswer: n**(-2815\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 162*s + 219*s + 151*s - 51*s - 6*s + 76*s.\nAnswer: 551*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 4 = 20. Suppose a + j = 6. Is (-866)\/a - 6\/(-15) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -344*l = -343*l - 10. Let x(h) = 17*h + 6. Is 11 a factor of x(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*a + 29*a - 9 = 43 for a.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + f + 2)*(-3964631 + 5004*f + 3964631).\nAnswer: 5004*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of -6*w**2 - 6 - 11 + 0 - 6*w**2. Let a(c) = 2*c. What is h(a(k))?\nAnswer: -48*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 281 a factor of 59291?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 33295650 to the nearest integer?\nAnswer: 5770","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -5*g**3 + 15*g**2 - 18*g + 19. Let z(l) = 3*l**3 - 7*l**2 + 9*l - 9. Let w(m) = 2*v(m) + 5*z(m). What is the hundreds digit of w(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sszazsszznqis. Give prob of picking 1 q and 2 z.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 5*j - 55 = 10 - 8, 0 = -127*j + 381 for x.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3324, 3261, 3198, 3135, 3072, 3009?\nAnswer: 2946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -7*z. Let w(j) = 32*j + 18. Let i(r) = 14*r + 8. Let m(v) = -9*i(v) + 4*w(v). Calculate m(d(x)).\nAnswer: -14*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2*51\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1026921?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-6))\/((-820)\/(-118080)) + -20.\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the first derivative of 18*y**2 - 2*y - 44. Let j(z) = -2*z**2. What is c(j(o))?\nAnswer: -72*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 55*r**4 + 34*r**2 - 1 + 419*r - 32*r**2 - 423*r as n*r**2 + v*r**3 + i*r + g + l*r**4 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3164423 is divided by 651?\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 19d96 (base 16) in base 8?\nAnswer: 316626","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -68, -186, -386, -710, -1200?\n\"Answer: -7*d**3 + d**2 - 72*d + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 x when three letters picked without replacement from {x: 2, e: 3}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1419, 1413, 1411, 1413, 1419, 1429?\n\"Answer: 2*y**2 - 12*y + 1429","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -0*l - 5*l. Let i(g) = -3*g**3 - 3*g - 1. Let c(a) = -2*a**3 - a**2 - 2*a - 2. Let t(o) = l*c(o) + 3*i(o). What is t(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**6\/i**(-9)*(i\/((i*i**(1\/8))\/i)*i*i)\/(i\/(i**(-3)\/i)))**(-49) assuming i is positive.\nAnswer: i**(-5047\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4495 * 4.\nAnswer: -1.798","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -81138108?\nAnswer: 1\/81138108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = 5*z + 4*n, -4*z - 5*n - 38 + 10 = 0. Let w = -90 - -74.3. Let v = 16 + w. Put v, 1, z in decreasing order.\nAnswer: 1, v, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -272.69 - -271.2. What is x rounded to 1 decimal place?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/5, -2\/9, -67301?\nAnswer: -67301","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the third derivative of h**5\/6 - h**4\/12 - h**3\/2 + 8*h**2. Let c be b(-2). Let t = 93 - c. Is 11 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3595401.\nAnswer: 3, 37, 59, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -50806, -203063, -456762, -811903?\n\"Answer: -50721*y**2 - 94*y + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 107101562?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -265 (base 12) to base 13.\nAnswer: -221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*m = -88*m + 239 - 619. Put -17, m, 5 in decreasing order.\nAnswer: 5, m, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 5, x: 7, y: 3, a: 1}. What is prob of picking 1 x and 1 q?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -76 or -77?\nAnswer: -77","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 900 = -2*q - 808, 4*h - q - 80 = -3*q for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 22*o**2 - 1. Let h = 318 - 288. What is the smallest common multiple of h and j(1)?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 68 and -2.\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1270 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17757 + 3560. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-27)\/(-30)*(28\/(-42))\/(-1)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -10*u. Let c be g(-3). Let n = c - 17. What is the highest common factor of 91 and n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in -5, -263, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -44.3 - -23. Let g = v + -1.7. Let o = -22.97 - g. What is the smallest value in -0.1, -1, o?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 r when two letters picked without replacement from {s: 2, x: 4, r: 6}.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = 4*l - 24, 4*n + 41*l = 36*l + 12 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -736 - -912. Let b = -7 + 23. Calculate the greatest common factor of b and x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2 + o + 4. Let n be ((-1)\/(-2))\/(20\/(-160)). Determine f(n).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 - 15*q**2 - 64*q + 530. Give s(17).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15.06 + -139.84. Let s = -155 - l. Let r = 0.1 + 0.1. Which is the nearest to s? (a) -3 (b) r (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rv when two letters picked without replacement from vvrvrvvrvr.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003029 rounded to 5 dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(75) + 1)*-2 + 1 - ((1*sqrt(294))\/(1*sqrt(8)))**2.\nAnswer: -163\/4 - 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2206, 4411, 6616, 8821?\nAnswer: 11026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 AM and 3:06 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 + 6*g**2 + 8*g - 8. Let r be -14*(6\/4 - 2). Let v be m(r). Let f(i) = -i**3 + i**2 + i. Calculate f(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4970 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -157605908*u**5 - 2*u**2 + 30964094*u.\nAnswer: -9456354480*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from emmmeeeeemmemmemmemm. What is prob of picking 1 m and 1 e?\nAnswer: 99\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-153)\/204)\/(2\/(-24)). Let q(o) = -o**3 + 11*o**2 - 13*o - 40. Let p be q(c). Solve -l - 7 = 3*m, m + p*l - 4*l + 1 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180) + 2 - sqrt(45) - (-2 + sqrt(45) + sqrt(45) + 0)) + -1 + -2*sqrt(5)*-2 + (-5*sqrt(45) - sqrt(5))**2.\nAnswer: sqrt(5) + 1283","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5046, -3895, -1974, 717?\nAnswer: 4178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 + 19*h**2 - 74*h + 586. Calculate w(17).\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 - 14*b**2 + 49*b + 1. Let j(c) = c**3 - 47*c**2 - 1087*c + 24. Let t be j(-17). What is v(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - ((-10)\/(-8))\/((-234)\/216).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 7445.14 (b) 0.5 (c) -1 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(2299) + (sqrt(2299) + 0 - sqrt(2299))) - (-1*sqrt(2299) + -5 - sqrt(2299)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -422.3393 rounded to the nearest ten?\nAnswer: -420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of 0*q**3 + 16*q + 1\/15*q**6 + 0*q**5 + 0*q**4 - 2*q**2 + 0. Differentiate u(j) wrt j.\nAnswer: 8*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 3*o = -6. Let c be 17*(o + 5 + -4). Let i(f) = -2*f**3 - 6*f - 3. Let z(n) = 6*n**3 + 17*n + 8. What is c*i(k) - 6*z(k)?\nAnswer: -2*k**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7236 is divided by 1769.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -18*t**3 + 7*t**2 + 8*t + 6. Is j(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 159.\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 20706?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 11:51 AM?\nAnswer: 1:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 77124719.3 rounded to the nearest one million?\nAnswer: 77000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -101*n - 13. Let x(z) = -146*z - 19. Let y(d) = 7*w(d) - 5*x(d). Let a(g) = -3*g**2. What is y(a(v))?\nAnswer: -69*v**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 39522 - 1897151\/48. Find the common denominator of -2 + (3\/(-6) - 58\/(-120)) and u.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.01 and -76?\nAnswer: 76.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -613 + 52?\nAnswer: -541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.25 + -0.96. Let l = 1.82 + -1.5. Let x = l - o. What is x rounded to one decimal place?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*r + 29*r - 44 = 15*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a - 2\/3*a**2 + 0.\nAnswer: -2*a*(a - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -0.8, -6, -2\/13, 5?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/14 - (1584\/(-84))\/11. What is the second derivative of 8*c**3 + 256*c**2 - 8*c**3 - 254*c**l + 198*c**4 + 209*c wrt c?\nAnswer: 2376*c**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 8125, 13968, 19811, 25654, 31497, 37340?\n\"Answer: 5843*b + 2282","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in six fifths of a tonne?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 523 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b = -508 - 24. Is 10 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/7 or 7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 6289*b**2 + 5*b - 2988. Let p(j) = 3168*j**2 + 2*j - 1494. Let x(a) = -2*n(a) + 5*p(a). Differentiate x(q) with respect to q.\nAnswer: 6524*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -279.337802 - -327.3377959. Let d = -47.911 - 0.089. Let p = d + u. What is p rounded to 6 dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5540 is divided by 102?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8887654?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-138)\/909*(-603)\/(-6432) and -51\/2222?\nAnswer: 17776","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 136065 and 51465?\nAnswer: 705","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101010 - -10000?\nAnswer: -11010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -121.61008 - -0.12008. What is n rounded to the nearest 10?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 1:57 AM?\nAnswer: 7:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 68762447 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.30109801 - -0.3?\nAnswer: -9.00109801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 950745, 950736, 950721, 950700, 950673, 950640, 950601?\nAnswer: 950556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.066 + 1.066511. Round i to five decimal places.\nAnswer: 0.00051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11673?\nAnswer: 3, 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 933516?\nAnswer: 2, 3, 25931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 + -118 - -102 - 99?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 51366?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 PM and 6:41 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.3 (b) -3970 (c) 0.1 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5078032?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 - 2*t**2 + 2*t + 72. What is the lowest common multiple of m(0) and 81?\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-167)\/(-3) - (-12)\/(-18). Let q = n + -22. What is the highest common factor of q and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 788 + -944. Which is smaller: -466\/3 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3785, -7250, -10791, -14408, -18101, -21870, -25715?\nAnswer: -29636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54430 is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 13*q**2 + 18*q - 19. Let f(k) = 4*k**2 + 6*k - 6. Let l(h) = -7*f(h) + 2*w(h). Let c be l(-5). Let u = -2 - c. What is the biggest value in u, -2, 5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/164 - (-92)\/(-30176)*(-828)\/(-21)?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 273 times -0.0163?\nAnswer: -4.4499","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -11b9d39 - -6?\nAnswer: -11b9d33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r. Let z(y) = -10828*y - 33. What is h(z(q))?\nAnswer: 10828*q + 33","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the third derivative of -r**4\/4 + 7*r**3\/6 - 7*r**2 - 206. Determine h(5).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 24*m - 28*m. Let v be ((m + 0)*-1)\/(3\/(-6)). Suppose -u - v*u = 5*g - 63, g = u - 13. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -6*(sqrt(1300)*2)**2)*-3 + 5 + ((sqrt(26) - 3*(sqrt(78)\/sqrt(3) - sqrt(26)))\/((sqrt(18) + sqrt(288))\/sqrt(9) - sqrt(2)))**2.\nAnswer: 1497693\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5478 is divided by 550?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 - p. Let m be g(3). Is (m + 4)\/(1\/1) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1557 = 8*c - 1589. Solve c*f = -4*k + 12, -3*k = -8*k + 5 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + (83 + -41 - 32) - (105 - (0 + -2))?\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -501 - -994. What is the highest common divisor of 765 and f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 507 - 508. Put -7, 3, r, -322 in ascending order.\nAnswer: -322, -7, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -26\/33 (b) 0 (c) 7.3 (d) -6\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -0.4 (b) 14 (c) 5.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 + 2*z**2 + 2*z. Let v = 1 + -7. Let n(s) = s**3 + 3*s**2 + 2*s + 1. Let d(x) = v*n(x) + 7*r(x). What are the prime factors of d(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2711*r**2 - 2710*r**2 + 2 - 2708*r**2 + 8127*r**2.\nAnswer: -2*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-10))\/(-2) + 10\/(-25).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -232513496 + 4.\nAnswer: -232513492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 4*d - 8 = 0, -10 = -3*k - 3*d + 7*d. Let r(u) = -16*u - 1. Let s be r(k). Suppose o - s = -5*v, 2*o + 4 = -4. Is v a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*p + 143*p = 61*p + 198 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 660*(-1)\/(-7) + 12 + 1872\/(-182) + -2?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -0*l - 6, 0 = 4*g - l + 42. Let w be (1 + 3 - 3)*-3. Let y = w - g. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 4*y**2 - 200. Let b(z) = -3*z - 5708. Give b(x(u)).\nAnswer: -12*u**2 - 5108","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 405 = -i. Is 4 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7739 (base 10) to base 16.\nAnswer: 1e3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 521213, 1042427, 1563645, 2084867, 2606093?\nAnswer: 3127323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seventeen quarters of a week?\nAnswer: 42840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*b**4 - 4*b - 4*b**4 - b**4 - 200*b**3 - 1 + 197*b**3 in the form v*b**4 + z*b**3 + k*b + c*b**2 + q and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c - c + c - 2*c + 0*c + 4*c + (1 + 5 - 5)*(4*c - 2*c - c) + 0*c - 5*c + 3*c - 113*c + 250*c + 2 - 114*c.\nAnswer: 22*c + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 (base 4) in base 13?\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4850907 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 AM and 10:06 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 39741718?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2002, 3462, 4910, 6340, 7746, 9122?\n\"Answer: -x**3 + 1467*x + 536","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1370875.952 rounded to the nearest ten thousand?\nAnswer: -1370000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1076 is divided by 1060.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 84 * 7.\nAnswer: 588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 11\/10 of a minute?\nAnswer: 66000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-2\/7)*d*d**(-1\/5)*d)**(-32)\/((d**0)**(-7\/2))**(14\/3) assuming d is positive.\nAnswer: d**(-2816\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-five halves of a millimeter?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p**1)\/p*p)**(-2\/53)*p*(p*p\/(p*p**(1\/2)))\/p*(p*p**(2\/9))\/p*p)\/((p**(-6)*p)\/(p**12\/p))**(-1\/13) assuming p is positive.\nAnswer: p**(5159\/12402)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of -l**8\/1512 - 4*l**7\/135 - 103*l**6\/270 - 76*l**5\/135 + 23*l**4\/12 + 20*l**3\/3 - 3*l**2 + 2*l - 10. Solve p(o) = 0.\nAnswer: -15, -12, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*o = 15*o - 1305. Suppose 2*g - o = -g. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -372*b - 6729 + 2365 = 1224 + 6316 for b.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27419 and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*o**3 - 3 + 3)*(8*o + 45*o - 13*o) - 3*o**4 - o**4 + 6*o**4.\nAnswer: 362*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*n**2 + n**3 - 9*n**2 - 3*n**3)*(-3*n**2 + 2*n**2 + 3*n**2).\nAnswer: -4*n**5 - 6*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*r - 6 = -12*r. Suppose -r*t - 78 = -9*t. Suppose 24*x = 21*x + 351. What is the highest common factor of x and t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 76 and 19?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/35239568 and 73\/342327232.\nAnswer: 2396290624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 5, 0.2, 3, -69, 746\/7, 1?\nAnswer: 746\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/2 + (-18)\/(-4). Suppose 10 = 7*n - 18. Solve -2*o = n*s - 4*o - 18, 0 = s - u*o for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1023 + -33302013112?\nAnswer: -33302012023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9481620?\nAnswer: 2, 3, 5, 37, 4271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 15) to base 5\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12 and 2502.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 8*d**2 - 5. Let s(c) be the third derivative of -7*c**5\/60 + 2*c**3\/3 + 394*c**2. Let g = 69 - 64. Give g*s(q) + 4*y(q).\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2163 (base 9) to base 13\nAnswer: -95a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 627*g. Let q(k) = -81659*k. Give q(m(b)).\nAnswer: -51200193*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 + 336515.82.\nAnswer: 336494.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 345875, 1383271, 3112253, 5532815, 8644951, 12448655, 16943921?\nAnswer: 22130743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d**2 + 87640*d - 1920192400 = 0. Calculate d.\nAnswer: 43820","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 4*z - 141 = 0, -20 = -2*k + z + 52. Solve k*x = 14*x - 100 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 3*l + 1 = 2*f, l - 4*f - 3 = 0. Let u be (l\/(-2))\/(4\/16). Let d(q) = q + u*q - 4*q. What is d(1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*c**2 - 3*c**2 + c**3)*(-73 - 61*c + 73) - 3*c**4 + 0*c**4 + 2*c**4)*(-2 + 0 + 0) + (-c + 3*c - 4*c)*(-4*c**3 + 4*c - 4*c) + 0*c**3 - c**4 + 0*c**3.\nAnswer: 131*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 130882320 and 996336?\nAnswer: 1439705520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -4083546723 take away -0.05782?\nAnswer: -4083546722.94218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 2*d**3 + 5*d**2 + d - 2. Let t be f(-3). Let w = t + 20. Let v = w + -3. Solve 0 = j + 5 - v for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001453185 rounded to five dps?\nAnswer: -0.00145","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16079 is divided by 5357?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 5*y - 136. Calculate the lowest common multiple of y and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 3*g + 1. What is the units digit of f(15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -129 - (-232 + 95) - -117.\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.01 in 6, 2\/9, -19?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*v**2 + 0*v + 8*v**2 + 0*v.\nAnswer: 41*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*u**4 - 1500*u**3 + 225912*u**2 - 3318400*u + 12873216 = 0. What is u?\nAnswer: -493, 8, 102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of 67*y**7\/7 - 241*y**3\/3 + 337. What is the third derivative of p(c) wrt c?\nAnswer: 8040*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 448*k + 469*k + 465*k - 2*k**3 - 1841*k + 459*k.\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 22 + (-24 - -25 - (0 + 1)) + (-7 - -4)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/5)\/(f*f*f**16*f))\/(f\/f**(-3\/11)*f**(-2\/13)*f*f) assuming f is positive.\nAnswer: f**(-16101\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -4*y + 3. Let m(j) = -7*j + 5. Give 3*m(w) - 5*u(w).\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -30472, -30528, -30598, -30688, -30804, -30952?\n\"Answer: -q**3 - q**2 - 46*q - 30424","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 722*z + 33*z - 181*z**2 + 183*z**2 to a*z + n + u*z**2 and give a.\nAnswer: 755","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -15*u - 25. Let h be a(-6). What is the highest common factor of h and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = q, 4*r - 4*q = -6 - 42. Let g(f) = f**2 + 5*f - 12. Let d be g(r). What is the greatest common factor of 14 and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 519198133251 from -0.16.\nAnswer: -519198133251.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/12 and 133\/402?\nAnswer: 804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -95 divided by 19\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (-1 - -15 - 5) + 1?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 3*t**2 - 21*t - 3. What is the remainder when f(10) is divided by 3\/(18\/93)*2?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 not equal to -10\/3063913?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p**2 + p**2 + 6*p**2)*(1 + 1893*p + 432*p + 2 - 60*p)*(-1 + 1 - p).\nAnswer: -9060*p**4 - 12*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 244 + 255 + 248 + 2386*l**2 - 747.\nAnswer: 2386*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + -361273812?\nAnswer: -361273816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/((-18)\/(-27)))\/6?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -9dd7 + 2?\nAnswer: -9dd5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1277988961 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.8 and 99319.\nAnswer: 178774.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18274115.\nAnswer: 5, 37, 98779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 153 divided by -1711.\nAnswer: -153\/1711","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08739 rounded to two decimal places?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 10 + -15175?\nAnswer: -15165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.602515 rounded to 2 dps?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63810 is divided by 177.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 775370.288 to the nearest one thousand.\nAnswer: 775000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 224471520 by 26.\nAnswer: 8633520","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 39577335089 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -2758151\/247 <= -11166?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 2*t**2 - 33*t - 309. Does 2 divide h(-18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31623.\nAnswer: 3, 83, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/410*(10\/12)\/(59\/(-177)).\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 259 and 432789?\nAnswer: 432789","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 71352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*z**3 - 9*z**3 + 10*z**3.\nAnswer: 10*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 5*u + 55128 = 0, -58*u = -5*x - 57*u + 137847. What are the prime factors of x?\nAnswer: 19, 1451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 472.2 + -472. What is the closest to -0.2 in n, -4, -1\/2, -46\/7?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 43 - 42.6. Let z(d) = -d**2 - 14*d - 23. Let w be z(-14). What is the second biggest value in o, w, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -2*y**3 - y**2 + 27*y + 51. Let x be c(-2). Suppose -w + 2*w = 69. Suppose -w = -x*f + 21. Calculate the highest common factor of f and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3\/(-9))\/((-4)\/48). Solve 2*f - 6 = w*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 AM and 12:24 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 16) to base 15.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2557458?\nAnswer: 2, 3, 47, 3023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 522 + -1006. Let o = x + 970. Is o a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -50 * 317.\nAnswer: -15850","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 o when two letters picked without replacement from {o: 1, q: 2, z: 3, p: 2, j: 3, l: 3}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 199029778 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tc when two letters picked without replacement from {z: 2, t: 10, d: 1, c: 1, u: 2, w: 3}.\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 24311241 - -2321?\nAnswer: 24314112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2203.\nAnswer: 2203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -0.1, 2, 288, 3\/5, 0.4, -0.08, 2\/233?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 - 2*h**2 + 7. Let r be s(4). Let p = r - 37. Let v be (-2)\/((-5)\/(-2) + -3). Calculate the greatest common divisor of p and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 216 and 24837768?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 66 + -68.88. Let y = -0.08 - b. Let a = y - 8. What is a rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 27, 33, 15, -33, -117, -243?\n\"Answer: -l**3 - 6*l**2 + 31*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -36 + 52. Suppose 12*h = z*h + 36. What are the prime factors of (24\/h)\/(3\/(-99))?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 t when three letters picked without replacement from {f: 1, t: 2, g: 2, c: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -0.3 (b) 0.2 (c) 0.3 (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 205207.3 minutes?\nAnswer: 12312438000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 367059?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 - 7. Suppose o = 1, -f - 2*o + 3 = -3. Suppose 0 = -t*q - 4*u - 6, 2*q + 1 + f = -3*u. Let c(k) = -2*k + 3. Determine c(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*a + 3*a + m = -11, 0 = -5*m - 15 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 5*u + 4 = 0. Let c be (-6)\/(-4)*1\/(-4). Put u, 5, c in ascending order.\nAnswer: c, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -1098*h + 1026. List the prime factors of u(-6).\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 203\/(-3) + 1 + (-12)\/9. Calculate the remainder when 2703\/f*(-4)\/3 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1940?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.66 - -25.64. Let z = n + -49.1. Let h = 24.67 + z. What is h rounded to 1 dp?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -1. Let a(x) = 655*x**3 - 4*x**2 + 3*x. Let c(d) = -a(d) - 4*n(d). Let o be c(-4). What is o rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*2\/8)\/(17\/(-34)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 73 + -43. Suppose 2*p - x = -3*p. Is 3\/(-18) + 199\/p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30 and 5105.\nAnswer: 30630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 672710 rounded to the nearest 10000?\nAnswer: 670000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(4)\/(sqrt(12)\/(sqrt(6)*3)).\nAnswer: 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*b**3 - 10*b**2 + 10*b**2 + 6*b**3 - 33*b**2 - 4*b**6 wrt b?\nAnswer: -480*b**3 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6187498.\nAnswer: 2, 29, 106681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 275.28 to the nearest integer.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n. Let h(y) = -8*y - 3. Let v(b) = h(b) + 4*t(b). Let q(g) = -g**3 + 8*g**2 + g - 11. Let o be q(8). Is 9 a factor of v(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 + 32*q**2 - 86*q + 304. What is w(29)?\nAnswer: 333","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -10, -61 in decreasing order.\nAnswer: -2, -10, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19111582 divided by -1.\nAnswer: 19111582","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1312976 and 6370.\nAnswer: 597404080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8)\/(7\/(42\/(-4))*3). Factor 63*a**4 + 2*a - 12*a**3 - 20*a**2 - 32*a**4 + 10*a**5 - 17*a**q + 6.\nAnswer: 2*(a - 1)*(a + 1)**3*(5*a - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 121*z - 7. Let y be f(3). Suppose -820 = -8*k + y. What are the prime factors of k?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*39800.\nAnswer: 3980","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1293.5 + -1294. Which is the third biggest value? (a) 11 (b) t (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(208) + 0 + 2)*-2 + -1 - (-2 + -1*(0 + sqrt(208)) + 1 + 1 + sqrt(208)).\nAnswer: -8*sqrt(13) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100101010100 (base 2) to base 5.\nAnswer: 34023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 492172?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -186604\/201 at least as big as -928?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((34914\/4761)\/(5*8\/100))\/((-10)\/36)\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 905, 1808, 2711?\n\"Answer: 903*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 25391346 to the power of 1\/3, to the nearest integer?\nAnswer: 294","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29632712.\nAnswer: 2, 1753, 2113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 0 + 5)*(2 - 2 + 3*y) - 7*y - 16*y + 2 + 11*y to the form p + k*y and give k.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -83.64857 + 2\nAnswer: -81.64857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - d - 1)*(280 - 1364*d - 6483*d - 280) as x + k*d**2 + f*d and give k.\nAnswer: 7847","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-4)\/(-7))\/2)\/((440\/175)\/11)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3008 and 30832.\nAnswer: 123328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-7)\/(-3) - (-2)\/(-6). Suppose 4*u = -3*l - l + 36, -3*l = a*u - 23. Suppose 12 = -2*j + 2*c, 2*j - 4*c = -3 - 15. Put 1, l, j in decreasing order.\nAnswer: l, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, z: 4, a: 7}. Give prob of picking 3 z.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -26*f**2. Determine z(-1).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(3648)*-1 + sqrt(3648)))\/(sqrt(3) + sqrt(24)\/(sqrt(72) + sqrt(8)) - (sqrt(3) - (sqrt(3) + sqrt(12)\/sqrt(4))*-4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7183103 and 62?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 372?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, v: 1, g: 1, w: 1, y: 3}. Give prob of sequence yrw.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 184, 139, -138, -647, -1388?\nAnswer: -2361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 d when two letters picked without replacement from {n: 7, l: 4, d: 7}.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -365*t + 327*t - 494 for t.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26585?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = -d + 51, -5*z = -3*d + 698 - 637 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 3*k + 8 = -6, 0 = -a + k + 6. Suppose 0*m - 22 = 4*y + m, 5*m = -5*y - 35. Put a, -2, y in decreasing order.\nAnswer: a, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1151207 and 9961.\nAnswer: 1423","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 684 and 360.\nAnswer: 6840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the first derivative of -r**2 - 3*r + 15. Let s = -10 + 14. Let i = s + 0. What is x(i)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3, 10, 21, 36, 55, 78?\n\"Answer: 2*x**2 + x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -59716, -59704, -59680, -59644, -59596?\nAnswer: -59536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 4, c: 2, o: 2, t: 1}. Give prob of picking 2 o and 1 c.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-g + 5*g - 3*g)*(4 + 4 - 5) + 10*g - 8*g - 34*g + (1 - 2*g - 1)*(3 - 2 - 4) to the form z + i*g and give i.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 11:13 AM?\nAnswer: 1:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-5)*z)**(9\/2) assuming z is positive.\nAnswer: z**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(2) + 4*sqrt(18) - (sqrt(2) - (sqrt(8) + -3))) + 2 + (sqrt(2) - sqrt(2)*1*3))**2.\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -7303 less than -51111\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes before 10:57 PM?\nAnswer: 8:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 790 and 5140.\nAnswer: 406060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01438652 to two decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-2)*(-12)\/(6\/1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3453 is divided by 64.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 73 and 41?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of h**3 - 25*h**2 + 66*h + 157. Is g(-27) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.3 - 0.8. Let p = -877 + 832.3. Let b = p + 45. What is the nearest to -1 in b, k, 0.4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2342, -9, -3, -2 in descending order.\nAnswer: 2342, -2, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the second derivative of 0 - 8*o + 1\/2*o**3 + 1\/2*o**2. Calculate c(5).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(65) + (-2*sqrt(65) + sqrt(65) - sqrt(65)) + sqrt(65))*-2)\/((sqrt(30)\/sqrt(2))\/sqrt(3)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -194, -131, 4, 3 in ascending order.\nAnswer: -194, -131, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-4))\/((-78)\/(-39))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 50*y**2 + 11*y + 69. Let l be c(-4). Let x = l + -519. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -407 * -2.1\nAnswer: 854.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1656, -1655, -1658, -1665, -1676, -1691, -1710?\nAnswer: -1733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 - 132*k + 179. Let d be v(0). Solve 120 = -d*j + 164*j for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 142 - 12 = 13*p for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00031521 to six dps.\nAnswer: 0.000315","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -407 - -408. Solve -t + i = -0*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + 2. Suppose 2*x - 3 = j. Suppose 10 = 2*t, 2*c - 80 = -c - x*t. What is the lowest common multiple of c and 6?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 6:58 PM?\nAnswer: 8:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 0.5, -33\/10, -2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1782 + -681. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 3*v + 31, 20*v = -5*s + 15*v + 115. Is s less than or equal to 21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 - 8. Suppose f + 4*y - 16 = 0, 5*y + 5 = -2*f + 25. Solve -h*k + f = -12 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1703839 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -17 - 6 + 46 + 43 - 4*i. Suppose t = -8*t + 153. Let s be m(t). Which is the closest to 3\/10? (a) -2\/5 (b) s (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 209420?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of 10*r**4\/3 - 2*r**2 - 133*r. Is p(2) a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ukww when four letters picked without replacement from {i: 1, k: 1, w: 3, n: 2, u: 7}.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:52 PM and 9:37 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -2*k. Let r(h) = -15*h + 9*h + 15*h. Give r(m(p)).\nAnswer: -18*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/47)\/(378\/(-756))?\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 - s**2 - 4*s - 10. Is m(-9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 54475 by -1.\nAnswer: -54475","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -180841*t**2 - 28*t - 87. Let c be r(-7). What is c rounded to the nearest 100000?\nAnswer: -8900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12 - -19. Let y(z) be the first derivative of z**4\/4 - 8*z**3\/3 + 3*z**2 + 10*z + 189. Calculate y(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 3 = 4*l. Suppose -7*b = -2 - 33. Suppose -o = -4*o. Solve b*f = -3*c - l, -5*c + 4*f = -o*f - 32 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in o**3 + 5469*o**2 + 865970*o + 5794152 = 0?\nAnswer: -5306, -156, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that w**2 - 27973*w\/3 - 18650\/3 = 0.\nAnswer: -2\/3, 9325","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 2*t = 0. Suppose t*l = l - 26. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from rkrkpgpkkggkg?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 52*g + 67*g + 1156798 - 3275236. Is g a multiple of 86?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.398 + -1.398. Which is the closest to -0.1? (a) 170 (b) 5 (c) 3\/8 (d) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2315947 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -855125756 by -213781439.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum 115 and -37.\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1064199316 a multiple of 131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the first derivative of -2\/3*v**3 - 9 - 4*v + 3*v**2. Factor t(u).\nAnswer: -2*(u - 2)*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1cbe (base 15) to base 3\nAnswer: 22120122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 68 and 142?\nAnswer: 4828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 210 + 250 + 259 + 4*w**3 - 2*w**3 - 221 to the form t*w**3 + b*w + r + f*w**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 70842\/11 + -6440. Is f < 8.28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 57610641?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2155.839 - -2356.68. Let p = -201 + j. Round p to 1 dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/5*n**2 + 9\/5*n + 22\/5.\nAnswer: -(n - 11)*(n + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*c**3*q**3 - 796*c**3 - 129*c**2*q**3 + 5*c**2*q**2 - 19*c*q**3 wrt q?\nAnswer: -42*c**3 - 774*c**2 - 114*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 2*m = 4*g + 7, g = -5*m - 22. Suppose 0 = -5*v + g*v + 44. What is the greatest common factor of 2 and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85 = -35*q + 55 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.566 to 1 dp.\nAnswer: 2.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 64 - 60. Let v be (7*10\/35)\/2*w. Solve 5*j - 20 = v*h, 3*j - 3*h + 0 = 12 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 92 + -91. Let f be ((-100)\/60)\/(g*1\/1173). Let k = f + 2853. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 + 25*s + 4. Give i(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.1 (b) 1\/3 (c) -1\/4 (d) -2\/23 (e) -3\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 712 and 89.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10814 + 18622. Let u = -5 + 24. What is the remainder when p\/104 + (-5)\/65 is divided by u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1 (b) -4\/7 (c) -29 (d) -6\/11 (e) 0.313\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 166.0899 litres in millilitres?\nAnswer: 166089.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1 and (-251)\/21 - (-2)\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 78351?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 2*b**4 - 8*b**3 - 121*b**2 - 129*b. Let m(w) = -2*w**4 + 6*w**3 + 120*w**2 + 128*w. Let p(h) = -8*k(h) - 9*m(h). Suppose p(u) = 0. Calculate u.\nAnswer: -10, -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3051 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 123 + -51. Suppose 0*q + 2*t - x = -2*q, -t = 5*q - 168. What is the remainder when q is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.059 + 42.059. Let m = w - 39. What is the nearest to 1\/4 in m, -4, -3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5338578 divided by -44862\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22256\/5 + -4451. Which is the third smallest value? (a) 1\/36 (b) -1\/9 (c) r (d) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26327 divided by -45?\nAnswer: -26327\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 3*n + 1 = m, 4*m = -2*n + 14. Let z(j) = -j**2. Let b(q) = 2*q**2. Give n*z(d) + b(d).\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of t**2\/2 + 22. Suppose 0 = -f + 5*v + 27, -15 = -v + 4*v. Let r(g) = -2*g**2 + f*g**2 + 2*g**2. Give h(r(m)).\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1400 smaller than 1398?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 16 (b) 5 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 2*m - 5. Let x(h) = -3*h + 7. Let f(z) = -7*c(z) - 5*x(z). Let d = -4 - -6. Let y(u) = d + 2*u**2 - 2. Determine y(f(l)).\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2071902167 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 3*w + 19 = 0, 5*w + 0*w = 3*r + 19. Let y be ((-5)\/((-30)\/8))\/((-4)\/(-6)). Suppose -y = 5*h - 3*z - 101, 24 = r*h + 4*z. Does 5 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -133.\nAnswer: -3\/133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -506596616*b**2*w**5 - 335*b**2*w**2 - 5*b**2 + 19*b*w**2 - b + 52*w**2 - 3 wrt w.\nAnswer: -30395796960*b**2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23084, -46151, -69234, -92339, -115472, -138639, -161846, -185099?\nAnswer: -208404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -3*k**3\/4 - 4085*k**2\/4 - 2721*k\/4 + 1361\/4 = 0.\nAnswer: -1361, -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13 or -8224?\nAnswer: -8224","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 137 - 83. Is 8814\/p - 2\/9 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59999 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 25.63598 times 5\nAnswer: 128.1799","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 268*k - 115 = -263*k, 2*o + 116 = -16*k for o.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1584) + 1 + -2)**2.\nAnswer: -24*sqrt(11) + 1585","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of 0*n**2 + 1\/3*n**3 - 9*n + 0 + 1\/12*n**4. Suppose -p = 4*p - 10. Let t(c) = -12*c**2 - 27*c. Determine p*t(a) + 27*f(a).\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -1 + 7 - 4 - k**2 + 2*k**2. What is f(-4)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10754087291 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 7 + 7 + -6 + 3. Suppose 0 = 5*j - 51 + v. What is the remainder when 38 is divided by j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u - 3 + 3*u - 3.\nAnswer: 5*u - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 882 is divided by (384\/(-10))\/((-2512)\/(-160) + -16).\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the third derivative of l**4\/8 - 65*l**2. Let t(z) be the second derivative of z**4\/3 - z. Give v(t(g)).\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 111 - 166. Let d = -176 + g. What is d rounded to the nearest 10?\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -1294, -0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the first derivative of b**4\/4 + 3*b**3 - 10*b + 432. Calculate l(-9).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5*-1)\/(18\/(-18)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -979269\/331430 - -2\/15065. Calculate the common denominator of -39\/4 and z.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 52\/20 + 2\/5. What is the second smallest value in -2\/5, 1\/16, 2\/7, c?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13\/18 - 10\/9. What is the common denominator of 95\/6 and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(121)*6)\/(6*sqrt(44)\/sqrt(4)) + (3*sqrt(77)*-1)\/(sqrt(224)\/sqrt(2)).\nAnswer: 5*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 715.466 milligrams to nanograms.\nAnswer: 715466000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1032 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 671, 9, -23.\nAnswer: -23, 9, 671","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 0 = 8. Let z = 74303\/14718 - 2\/669. Calculate the common denominator of (-2 - (-381)\/54) + o and z.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.03? (a) 45 (b) -2\/13 (c) -1 (d) -20\/3 (e) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -8727207, -17454413, -26181619?\n\"Answer: -8727206*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48450 is divided by 132.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -401*w + 398*w + 24 = 0. Suppose -w*s = -63*s + 3025. Solve s = -2*r - 9*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*s + 32*s = -4 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, f: 5, o: 6, c: 2, y: 1, h: 3}. What is prob of sequence cfoo?\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w + 18 = 5*w. Let x be (w*(-10)\/40)\/(1\/2). Solve -x = 9*g + 36 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*q - 136 = -14*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3112, -6203, -9294?\n\"Answer: -3091*p - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23 (base 13) to base 9.\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 29 = 3*q - 0*q, -3*q = k + 37. Does 5 divide (11\/k)\/((-1)\/118)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -4*x**2 + 3*x + 1. Let b = 54 + -57. Let c(r) = -9*r**2 + 6*r + 3. Let n(h) = b*c(h) + 7*p(h). Determine k, given that n(k) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**2. Let w be 7\/7 - 191\/(-1). Let s(h) = -390 + 198 + w - 20*h**2. What is m(s(z))?\nAnswer: 400*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 209 * 84801.\nAnswer: 17723409","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the third derivative of 1225*z**4\/24 + 2209*z**3\/3 + 5321*z**2. What is the first derivative of j(v) wrt v?\nAnswer: 1225","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a\/(a\/((a**1*a)\/a))*a**(-22)\/a*a*a**32\/(a\/(a\/(a*a**(-2\/13)*a))) assuming a is positive.\nAnswer: a**(132\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 126559 is divided by 68?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.5, 3, -6\/17 in increasing order.\nAnswer: -6\/17, 0.5, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 6341429?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.5 and 6585?\nAnswer: 6584.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.021 rounded to one decimal place?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)\/(sqrt(4)*3 - sqrt(4)) + -3)**2.\nAnswer: -3*sqrt(17) + 53\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 + 28*p**2 + 133*p + 15. What is k(-4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -193057 + 92130 = -2234*r - 54131 + 236922 for r.\nAnswer: 127","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 152. Let d be (-614 + 4)*1\/(-2) + 3. Let h = d - z. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 26864, 53731, 80598, 107465, 134332, 161199?\n\"Answer: 26867*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m - 3. Let x(v) = -v + 5. Let w(y) = -5*p(y) - 3*x(y). Let d(a) be the second derivative of 1\/6*a**3 + 0 - 2*a + 0*a**2. Calculate w(d(h)).\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 9 = -18. Suppose y*v - 30 = 4*v. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -2114*q**3 + 3*q**2 - 8. List the prime factors of o(-2).\nAnswer: 2, 4229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/2 - 144\/32. Let r(i) = i**3 + 4*i**2 - 4*i + 8. Let h be r(s). Suppose -h*m - 96 + 639 = -3*b, 4*b - 362 = -2*m. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from {u: 3, g: 12}.\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 896 or 884?\nAnswer: 884","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 628\/10429 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-701*f - 29 + 698*f - 37)*(-574*f - 422*f + 824*f) as l*f + t + m*f**2 and give l.\nAnswer: 11352","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 4:28 PM?\nAnswer: 8:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2391.\nAnswer: 3, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 PM and 1:46 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (44\/(-4) - -10)*-1676 is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -258.09 plus -1419?\nAnswer: -1677.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15807.1 + 15806.8. Let m = 1\/73 + 212\/511. What is the nearest to m in 2, q, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -3*d + 16, 4*b + d = 11 - 1. Let n be (-1 - -1)\/(b - -1). Factor 0 - 1\/2*g**2 - 25\/2*g**4 + 5*g**3 + n*g.\nAnswer: -g**2*(5*g - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15316 and 41068?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s + 184 = 4*g + 6*s, -228 = -5*g + 2*s. Does 13 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2 + 98126108*d - 1203591633903458.\nAnswer: -2*(d - 24531527)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 13148 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(7200) + sqrt(7200) + 1 + 4)*-4*5.\nAnswer: -14400*sqrt(2) - 600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 84*j**2 + 61*j**2 + 45*j**2 + 61*j**2 - 328*j**2. Let o(i) = 22*i**2. Determine o(m(d)).\nAnswer: 130438*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -50\/9 and -87\/604.\nAnswer: 5436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**2 + 21*c - 12. Calculate the remainder when 57 is divided by o(18).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*p**4 + 121*p**3 - 116*p**3 + 3*p**2 - 1 + 46*p**2 + 19*p**2 to the form r*p**2 + l*p + a + d*p**4 + b*p**3 and give r.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1891968 and 2916784.\nAnswer: 70002816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (320*z**2 + 370*z**2 - 79*z**2)*(-z**2 + 2*z**2 - 2*z**2) in the form q*z**3 + s*z + k*z**2 + w + n*z**4 and give n.\nAnswer: -611","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + 2. Suppose -1 = 5*h + 19. Let k = h + 8. Solve -12 + l = -5*i - 3*x, k*i = 4*x - 20 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, d: 6, j: 5}. Give prob of picking 3 d.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -16*x**2 - 99*x - 206. What is y(-2)?\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3125759401 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:59 AM and 5:32 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16900 or -17289?\nAnswer: -17289","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -164, -711, -1622, -2891, -4512?\nAnswer: -6479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*n**3 + n - 2*n**3 - 3 + 5 as c*n**3 + r + g*n + k*n**2 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9.36 - 5.36. Sort 0.4, -3, n, 41.\nAnswer: -3, 0.4, n, 41","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 - 8*d**2 + 11*d + 15. Let x be z(-9). Suppose k - 5 = -1. Let q = -0.31 - -0.21. Which is the nearest to q? (a) k (b) x (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120*a - 9 = 117*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.85 and 0.3.\nAnswer: -0.255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 4 + -10 + 3 - -7.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(((b\/(b\/(b*b*b**4*b)*b)*b)\/b)\/b*b*b))\/b)\/b**5 assuming b is positive.\nAnswer: b**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -3*q + 7, 2*q + 9 = -q + 3*t. Let w be ((-21)\/(-2))\/((-1)\/(-2)). Is ((-6)\/(-9))\/(q\/w) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * -3.6476\nAnswer: 1.8238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 - -7. Let s = -6 + l. Let p = s - 4. Does 2 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2253013 and 1.\nAnswer: -2253012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -269 - -90. Let h = -1427\/8 - s. Calculate the common denominator of h and -2 - -1 - (-77)\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, 2\/13, 1.28, -2 in increasing order.\nAnswer: -2, 2\/13, 1\/6, 1.28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 34 (b) 1 (c) -3\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -69*b**2 - 121*b**2 + 2 + 11*b**3 - 7*b**3 + 4*b**4 - b - 7*b**3 - 6*b**4 in the form z*b**3 + q*b**2 + u + k*b + g*b**4 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rhrhoohraoooooahhah. What is prob of sequence rar?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 21, -29\/332, 41?\nAnswer: -29\/332","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -32, 65, 194, 331, 452, 533, 550?\n\"Answer: -4*w**3 + 40*w**2 + 5*w - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 3*a + 3*h - 120 = a + 7*a, -h - 1 = 0 for a.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 12 = y, 4*q - 3*y = 325. Suppose -3*i = 74 + q. Let w = 51 + i. What is the nearest to w in 0.5, 0.4, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qtqyttqtqwwqqqqqwqq. Give prob of sequence yy.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1056)\/20*1545\/(-1854).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -395 (b) -7 (c) -0.3 (d) 0.26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*l + 4*l - 56. What is the third derivative of 64*b**l - 52*b**2 - 61 + 67 - 7 wrt b?\nAnswer: 1536*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21)\/(sqrt(252)*5))**2*6.\nAnswer: 1\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -981 + 973.14. Let r = 8 + g. Let f = -0.14000052 + r. What is f rounded to seven dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -436*l - 215*l + 2618 = -277*l for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(5) + 1) - (-2 + 2*sqrt(5) + sqrt(5)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/15490 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 947, 948, 949, 950, 951, 952?\n\"Answer: f + 946","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -18*l + 72. Let p(y) = 45*y - 157. Let u(g) = 12*d(g) + 5*p(g). Give u(0).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-3))\/((-11)\/(-12)*2)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31593.75 millilitres to litres.\nAnswer: 31.59375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 54 - -11300524.\nAnswer: 11300578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 2*d**2 - 4*d - 3. Let a be x(4). Let l(v) = -8*v - 49. Let i be l(-9). What is the derivative of 2*r**3 - 5*r**3 - i + a*r**3 + 64 wrt r?\nAnswer: 30*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15402 and 1208?\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -778*k**5 + 2046*k**5 - 952*k**5 - 2*k**5 + 5*k**4 - 5*k**4 + (-6*k + k - k)*(-2*k**4 + 3 - 3).\nAnswer: 326*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 169 - 120. Is 49 <= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a + 10. Determine d(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 and 2678.\nAnswer: 24102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 12, r: 3}. Give prob of picking 2 j.\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 942*z - 931*z + 11 = 0. Let p = 2.5 - 3. Which is the biggest value? (a) p (b) z (c) 3\/8 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4705*b**2 - 1143194*b + 54*b**2 - 1 + 1142744*b wrt b?\nAnswer: 9518","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - 4*w + 7*w - 13, 0 = 2*w - 2. Let j be (-3 - (-9 - i)) + (-14)\/(-10). Find d, given that j + 93\/5*d**2 - 72\/5*d - 21*d**4 + 72\/5*d**3 = 0.\nAnswer: -1, 2\/7, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - -2 - 0 - 22*(-8)\/(-28)?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3012 - 1?\nAnswer: -3013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2*t)*(-t**2 + t**2 + t**2)*(-13 + 13 - 9*t**2).\nAnswer: -18*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 3000*n**2 - 1278001*n + 435. What is g(426)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4938?\nAnswer: 2, 3, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -8*((-27)\/(-12))\/(-9). Let j(s) = -s**2 - 2*s**2 + 2*s**m. Let k(x) = -13*x. Calculate k(j(n)).\nAnswer: 13*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-3))\/((-15)\/18 + 1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, -44, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -652 + 11086\/17. Which is the closest to 16? (a) o (b) 3 (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 478, 386, 232, 16, -262, -602?\nAnswer: -1004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.4 + 3.4. Let t = 3.3 - d. Let z(x) = x**3 - 11*x**2 - 3*x + 32. Let f be z(11). What is the third biggest value in 3\/5, f, t, 0?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 + (-8)\/(3 - 5). Suppose -2*x = 3*g - 36, 3*x - g + r*g - 40 = 0. Is 12 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14 and 7878703?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 5:56 AM?\nAnswer: 6:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 597*a**2\/4 - 354*a - 233541\/4.\nAnswer: 3*(a - 21)*(199*a + 3707)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 512 = 87*n + 68 - 948. Suppose 26\/3*x**2 + n*x + 32\/3 + 1\/6*x**4 + 2*x**3 = 0. Calculate x.\nAnswer: -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -7*w + 10*w + 5*w**3 - 4*w**3. Let l(a) = -a**3 - 4*a. Let d be 2\/10 - (-28)\/10. What is d*l(r) + 4*o(r)?\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/2 + (-4)\/(-5)*1020\/(-136)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-122)\/(-72) + (-16)\/(-256)*-20. What is the fourth smallest value in 18, 2\/9, f, 1?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 181278891 + 3?\nAnswer: 181278894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -103321130 + 303110?\nAnswer: -103012020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 48 - 138. What is the smallest common multiple of 27 and (l\/8)\/(-5)*(-12)\/(-1)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - 6. Let y be v\/(-27) + 115\/9. Suppose -s + 0*s = -y. What is the highest common factor of s and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1541\/9 - -171. Let t = -1 - -1.3. Which is the closest to u? (a) t (b) 2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/70 - (20\/(-14))\/5. Let y be -2 - 98\/(-35) - (-48)\/15. Factor 0*k + 0 + 0*k**2 - 2\/5*k**3 - q*k**y.\nAnswer: -k**3*(k + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.753*-1.0581.\nAnswer: -0.7967493","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*c**3 - c + 3 - 5 + 0 to the form w*c + i*c**3 + k*c**2 + s and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4572857 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 210 and 30?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n*(n**(-1\/9)\/n*n)\/n*n*n))\/n)**18\/(n**(1\/4)\/((n\/(((n\/(n\/n**(-4))*n)\/n)\/n*n))\/n)) assuming n is positive.\nAnswer: n**(-121\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 847236274 to the nearest integer?\nAnswer: 29107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/9 (b) 1\/4 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35979216 is divided by 1413.\nAnswer: 1410","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 50, -21, -389 in decreasing order.\nAnswer: 50, -4, -21, -389","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + x = q - 9, q + 2*x = -8. Let l = 398.51 + -401. Let h = -2.29 - l. What is the nearest to q in 3, h, 2\/9?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2125, 2, -1\/105, -0.0206, 0.4?\nAnswer: -1\/105","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + 13a?\nAnswer: 13a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2 - 246*m - 7144.\nAnswer: -2*(m + 47)*(m + 76)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 292933 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = 4*w + 3*a, -3*a - 61 + 27 = w. Let h = -3.94 - -4. Sort -2, w, h in increasing order.\nAnswer: w, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -11, 53, -5\/29 in descending order.\nAnswer: 53, -5\/29, -0.3, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - -430018?\nAnswer: 430020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 621 is divided by 104.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 447 - 147. Suppose 0 = -w + 3*z + m, 2*w - z - 180 = z. List the prime factors of w.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = -3*g, -k + 2*k = 11*g - 14*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w - 17 + 17)*(62*w - 538*w - 17*w).\nAnswer: -1972*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 20*m**3 - 57*m**2 + 43*m + 6. Let n(d) = 18*d**3 - 56*d**2 + 40*d + 6. Let b(g) = 3*n(g) - 2*z(g). Factor b(r).\nAnswer: 2*(r - 3)*(r - 1)*(7*r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30548 - 30948 = 3*p - c, 0 = -p + c - 20496. Round p to the nearest one thousand.\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 55*s - 911 - 189. Solve 5*q = -o + 20, 0*o - 5*q + s = 5*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30051 is divided by 44?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -145527 - -1312297\/9. Let m = 19793\/72 - x. Calculate the common denominator of m and -45\/22.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 156 is divided by 69?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -849*b + 19491 = -5979 for b.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 26 + -56. Let i be (-1 - 2)\/(w\/1280). What is the highest common divisor of i and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170103406 to the power of 1\/3, to the nearest integer?\nAnswer: 554","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a microsecond in nanoseconds?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 25*w**2 - 13*w + 6. Let n be j(-11). Suppose 5*z = -0*g - 4*g + 6376, -n = -2*g + z. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes before 4:49 AM?\nAnswer: 10:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 110*s + 5 + 108*s.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of 0*a**6 + 0*a**5 - 57\/14*a**7 + 0*a**3 + 95\/6*a**4 + 0 - 343*a + 0*a**2. Find the third derivative of w(v) wrt v.\nAnswer: -10260*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03398 rounded to 3 dps?\nAnswer: -0.034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 73412, 293577, 660522, 1174247, 1834752, 2642037?\nAnswer: 3596102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 - (16 + 0 + (44 - 11 - (2 + 42))).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 218 and 10?\nAnswer: 1090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*i + 45 = 3*j, 160*i - 155*i = -4*j - 8 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzttz. What is prob of picking 2 z?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of 8*u**2 + u - 2. Is y(10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-837)*(-49)\/(7056\/1296)?\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-56)\/(-84))\/(4\/18) - 4*2. Sort 2, c, 1, -482, -2 in descending order.\nAnswer: 2, 1, -2, c, -482","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1344.25 to the nearest ten.\nAnswer: 1340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 - 12. Let r = 1.1 - s. Which is the closest to 0? (a) 1\/5 (b) r (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 581042 is divided by 1377.\nAnswer: 1325","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 + 3*k - 7. Let o be q(-5). Suppose o*t - 5*g = 32, 2*t - 4*g - 1 = 21. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7338672?\nAnswer: 2, 3, 11, 41, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -11602, -23202, -34802, -46402, -58002, -69602?\n\"Answer: -11600*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, b: 9, k: 2, d: 5}. What is prob of picking 4 p?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -3*j - 9. Let o(c) = -6*c - 17. Let k(u) = -6*o(u) + 11*q(u). Let m(s) = -2*s - 2. What is 3*k(h) + 4*m(h)?\nAnswer: h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -41854 - -42592. Calculate the remainder when f is divided by 73.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14171?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 5 + 20 = 0. Let n(j) = 11*j**2 - 8*j - 12. Let u(m) = 34 - 42 - 5*m + 3*m**2 + 4*m**2. Let i(q) = g*n(q) + 8*u(q). What is i(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2\/2 - 58155*w\/2 + 581750.\nAnswer: -(w - 20)*(w + 58175)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 406679 by -7.\nAnswer: -58097","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30\/3)\/((-4)\/6)*(-2686)\/(-4029)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 102329?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 - 3*n**2 - 2530*n - 10132. Give u(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 591.8182l?\nAnswer: 591818.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -138 divided by 468.\nAnswer: -23\/78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 s when three letters picked without replacement from lkschski?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 5, z: 11}. What is prob of picking 3 o and 1 z?\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**1\/w*w*w*w**(-4))**(-44)\/((w**1)**(-9)\/(w**4\/(w*w\/(w\/w**6)*w*w*w))) assuming w is positive.\nAnswer: w**91","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1065.811 - 1063. What is c rounded to 1 decimal place?\nAnswer: 2.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 14\/3 (b) 2\/13 (c) -1.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.75 take away 9352225279?\nAnswer: -9352225278.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.21 (b) -2 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -1 (c) -0.04 (d) -1\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 x when two letters picked without replacement from xxvvvv.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -j - j - 4, -2*k = -5*j + 14. Suppose -u + 6*u - 2*f = -10, 4*u - j*f + 6 = 0. Let h(v) = 3*v**2 - 5 + 3 + v**3 - 5*v - v. Determine h(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i + 12. Let b be w(10). Solve n - b = -3*n + 2*p, 14 = -2*n - 4*p for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:29 AM and 6:52 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7058 and 97?\nAnswer: 684626","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve z**2\/11 - 2577*z\/11 + 17990\/11 = 0.\nAnswer: 7, 2570","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/5 - (-54)\/15?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 6*w - 9. Let l be o(4). Suppose m + l = 46. Is m a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2521 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -75.05 - 0.95. Let i = p - -74.9. Which is the closest to -1? (a) 4 (b) i (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 + 6*x - 1. Let n be w(5). Let d be (-4)\/(-16) - (-11)\/n. Suppose 3*h + h - 13 = d*z, 4*h + 3*z - 43 = 0. Is h a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15533367*u**3 + 2*u**2 + 11*u + 122281 wrt u?\nAnswer: -93200202","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**2 - 6*p + 7. Let a be q(5). What is the third derivative of -3*b**3 + 3*b**2 + 3*b**3 + a*b**5 wrt b?\nAnswer: 120*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b**5 + 513*b**4 - 101008*b**3 + 591564*b**2 - 783216*b = 0. Calculate b.\nAnswer: -666, 0, 2, 4, 147","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.12 + -3.12. Let z = -5 - d. Let w = -2.00000033 - z. What is w rounded to 7 dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6311.1 and -0.134.\nAnswer: -845.6874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7.9 + 4.9. Let n = -27.5 + 27. Which is the nearest to 0? (a) n (b) 3\/7 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5650 less than 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2530855?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 639631428 a multiple of 10222?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -2*o + 3. Let x be y(6). Let l = 13 + x. Let u(j) = -1 + 0*j - 2*j + 3*j. Determine u(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 4*b - 133. Find the first derivative of -16*o**3 - b + 43*o**3 + 16*o**3 wrt o.\nAnswer: 129*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 - 8*d**2 - 5*d + 23. Let p be j(9). Let g(o) = 20*o**2 - p*o**2 + 16*o**2 + 25*o**2. Let r(t) = -55*t. Calculate r(g(x)).\nAnswer: -110*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 169055780 to the nearest integer?\nAnswer: 13002","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1725099827 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 2608017?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 + 6*p - 7. Let o be i(5). Let h = 2 + -2.2. Let w = -0.3 - h. Which is the closest to w? (a) o (b) 1\/3 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:03 AM and 11:10 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*t + 1 + (60 - 14 - 126)*(-4*t - 7*t + t))*(0 - 2 - 1).\nAnswer: -2394*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/570 and 157\/7290.\nAnswer: 138510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1743730 rounded to the nearest one hundred thousand?\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/225 and 13\/45.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -265048, -529890, -794528, -1058962?\n\"Answer: 102*l**2 - 265148*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2901, -5814, -8727, -11640?\n\"Answer: -2913*c + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -40*k**6*n**2 + 71*k**3*n**3 + k**2*n**3 + 125*k**2*n - 17*k*n**3 wrt k.\nAnswer: -4800*k**3*n**2 + 426*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 788+477587\nAnswer: 478375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -183 - -182.9. Let o = -0.02 - -0.12. Put o, 0.4, t, -1 in decreasing order.\nAnswer: 0.4, o, t, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 1 = -2*p. What is the highest common divisor of 12 and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.7 + 22.\nAnswer: 24.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1\/4, 0.5, 4, 0, 0.104?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 9*w - 16115. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 32 = 2*t + 48, 0 = -4*t - 4*c + 24 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1910 and 160.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2347, -2343, -2339, -2335, -2331, -2327?\n\"Answer: 4*c - 2351","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/x**(-3))*x\/(x\/x**(-1\/5))*(x**(-1\/3))**(-1\/48))**(1\/14) assuming x is positive.\nAnswer: x**(-2299\/10080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -171044*k**2*w**3 - 5*k*w**2 - 2*w**3 + 3*w**2 + 289*w wrt k?\nAnswer: -342088*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 5*w**2 + 3*w. Let m(d) = 15*d**2 + 8*d. Let r(l) = -3*l - 15. Let i be r(-6). Let q(n) = i*m(n) - 8*b(n). Let j(x) = 4*x**2. Give q(j(o)).\nAnswer: 80*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 30*r**2 + 502*r + 253. Calculate c(-16).\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 + t**2 - 3*t + 1. Let s be d(2). Let r(v) = v**2 - 2*v - 6. Let k be r(s). Let f = k - -5. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18603, -18602, -18601, -18600?\nAnswer: -18599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -13*h - 42 + 91 - 43 + 12*h. Determine l(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22 + -21. Suppose -12 = -3*u - 6. Let a(k) = -2*k**2 - 5*k**2 + 8*k**2 + 1 + 6*k**u. What is a(x)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 44706.5124 to the nearest one hundred.\nAnswer: 44700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -4*b**3 + 220*b**2 + 1211*b - 587. What is l(60)?\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + 19 + 26. Let i be l\/(-48)*4 - (-3)\/(-4). Let n(v) = i + 6 - 5*v - 9. Let j(h) = 9*h. Calculate n(j(d)).\nAnswer: -45*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 + 17*s - 14. Calculate v(9).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*s = 25*s - 123. Let m(w) = w**2 + 3*w - 3. What is m(s)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*z**2 - 3 - z - 2*z**2 + z wrt z.\nAnswer: -10*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is e037f - -2a7?\nAnswer: e0626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence umx when three letters picked without replacement from umuxmuuumxyiiu?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 41 + -38. Solve 3*y - 3 = l for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14 - 10. Suppose 6 = n*o - o. What is the greatest common factor of o and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83 + 89 = 3*n. Suppose 0 = -n*i + 389 + 115. Is 21 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-14)\/(-96))\/((-8)\/72))\/((-345)\/(-460))?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*g**2 - 14*g**2 - 8*g**2 + 49*g**2.\nAnswer: -11*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 262?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*p - 8*p - 15 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -330.98985 + 331. Round q to 3 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -267, -2524, -8931, -21564, -42499, -73812?\nAnswer: -117579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2.5 and -0.006906527.\nAnswer: -2.506906527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 33612186*s. Let u(f) = f. What is c(u(k))?\nAnswer: 33612186*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 + 15*h**2 - 18*h - 20. Let v be c(13). Suppose -8*n + v = -468. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8825.406 + 8824. What is o rounded to 2 dps?\nAnswer: -1.41","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4716932, -9433862, -14150792, -18867722, -23584652?\nAnswer: -28301582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 3*q = 9, 6*l + 380 = -5*q + 352 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.9 in 0.4, -0.18, -4, 69, -6?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13\/((28*(-9)\/36)\/1).\nAnswer: -13\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 - -4. Let b = 27 - y. Let u = 0 + b. Is 7 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - 6. Let u = -11 - -10.84. Let d = u + 0.06. What is the closest to d in 5, r, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109 is divided by 15.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1133, -1738, -2779, -4256, -6169, -8518?\nAnswer: -11303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -245*w + 2 + 156*w - 184*w.\nAnswer: -273*w + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 + 11*x - 12. Let c be q(10). Put c, -3, 4 in descending order.\nAnswer: 4, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2. Let q = 8 + -6. Let v(p) = -11*p**2 + 24*p**2 - 12*p**q. What is o(v(k))?\nAnswer: -k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 + 35 + -127 + 37 + 1?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 3\/209, -5, 0.085, 4\/7, -3?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 38*p**2 - 71*p - 349. Does 17 divide u(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1496\/7 - 33409\/154. Calculate the common denominator of q and -103\/52.\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, m: 1, e: 6, i: 3, y: 1}. What is prob of sequence eigg?\nAnswer: 9\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and -2.81.\nAnswer: 0.562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-55 - -2 - 2) + 4. Let k = -254\/5 - j. Sort -4, 2, k in ascending order.\nAnswer: -4, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 0.3, 6.048, -22\/3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -21*r - 1. Let a be g(-1). Calculate the greatest common factor of 80 and a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5756 and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000035687 rounded to 5 dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/9787608 and 67\/13457961.\nAnswer: 107663688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2041a (base 15) in base 3?\nAnswer: 12012011021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -100932 or -100930?\nAnswer: -100930","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 938 and 1119503?\nAnswer: 469","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1030321 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-418*n - 964*n + 53*n)*(2 + 3 - 3)*(-3*n + 7*n - 2*n).\nAnswer: -5316*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 5*d - 194, -63*d = -2*n - 64*d + 90. What is the greatest common factor of n and 1012?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 z when two letters picked without replacement from iggggwxxfgxxigxzxwg?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4550361 + -23?\nAnswer: 4550335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5544, -22247, -50110, -89133, -139316, -200659?\nAnswer: -273162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 1553, 4 in descending order.\nAnswer: 1553, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 1 - (-9 - -25 - 12).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a decade in months?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 5, -m - 129 = -2*c - 14. Suppose z + 202 = 230. What is the remainder when c is divided by z?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**2 + 5*r - 1. Let s(o) = -2*o**3 - 2*o**2 - 2*o - 3. Let x be s(-2). Let d = 6 - x. Let c be (1\/1 + d)*-2. Calculate a(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66698 is divided by 145?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 26160 or 2118955\/81?\nAnswer: 2118955\/81","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 1393837?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/8570 and 59\/37708.\nAnswer: 188540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12696 and 30387048?\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 160 and 120.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from {m: 5, i: 8}?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*-1*(4 - 3). Is b not equal to 1\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 2 = -2, -3*h = -g + 81. Let i be -5*(g\/15 + -2). Let o = i - -26. What is the greatest common divisor of o and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 34 = l, 76*l - 71*l - 3*y - 27 = -251 for l.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 e when two letters picked without replacement from edded?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - 3. Suppose 3*k = -y + 4*y - 39, -70 = -4*y - m*k. Calculate the least common multiple of y and ((-96)\/(-40))\/((-1)\/(-5)).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 2*o - 13. Let r be j(8). Let h(c) = 10 - 4 - 7*c**3 + 6*c**2 + 6*c**r. Give h(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1550182.783034 + -1548204.673. Let i = n + -1978.4. Let m = 0.29 + i. Round m to five decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2 + 8*b + 13. Let l be m(7). Let v = -19 + l. Let i(f) = -f**3 + f**2. Give i(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4.6698 * -2\nAnswer: -9.3396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -3*r - 2*d - 141, -4*d + 64 = -r. Let b be r\/14 + 12\/(-42). Let j(n) = 3*n**2 + 4. Let c = -12 + 11. Let o(u) = -u**2 - 1. Give b*o(l) + c*j(l).\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 19 = r, 38*r - 33*r = -2*x - 11. Solve -x*z + 2 - 16 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20 + 36. Let l = z - 11. Suppose -3*o = 2*x + 6, -l*x - 7 = -2*x + 4*o. What is the smallest common multiple of 4 and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + t = 2*j - 4*t + 375, 0 = 2*j + 3*t - 240 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3*h + 2)*(-128*h**4 + 2803*h - 2803*h - h**4 + 5*h**2 - 5*h**2 + h**4 - h**3 + h**3 + (0 + 0 + 2*h**3)*(-4 + h + 4) + 0*h**2 + 0*h**2 - h**4).\nAnswer: -381*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, 0.1, 28.34?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36206, -72127, -108046, -143963, -179878, -215791?\nAnswer: -251702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2303 a factor of 5580050?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 152752*o + 152775*o + 157 = 0, 5*a + 3*o + 16 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 14*w - 4. Let p be d(4). Suppose 11*k = p + 278. Is k a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2\/41)*k\/k**(-10\/9))\/(k**(-5)*k**(-2\/29)\/k) assuming k is positive.\nAnswer: k**(87013\/10701)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pjjxpcxpp. Give prob of sequence pp.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/8, -4, 3, -25, 48, 3\/5 in increasing order.\nAnswer: -25, -4, 1\/8, 3\/5, 3, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7642*o + 544 + 14444*o + 15920*o - 544 to the form h + j*o and give j.\nAnswer: 22722","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -78\/7, 0, 1\/7, 1.5 in descending order.\nAnswer: 1.5, 1\/7, 0, -78\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 2375.9709 months?\nAnswer: 197.997575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = n - f + 4, 3*f = 3*n. Suppose -i = -4*g + 9, -5*i - 3*g + 30 = n*g. Solve -6*w - 8 = -w - 4*p, i*w - 2 = -p for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1742\/45 at most 406.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 142 - 85. Let m(x) = -x**2 + 10*x + 3. Let b be m(7). Suppose -b = -3*s + h. List the prime factors of s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -1 + -2 + 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r - 2. Let x be q(3). Let d be 3 + -6 + x + 1. Sort d, -4, 0 in increasing order.\nAnswer: -4, d, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 3*r = -14, f - 5*r - 3 = -13 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 509*v**2 + 132 - 32 - 33 - 29 - 40.\nAnswer: 509*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 AM and 5:26 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 27087 and 138981?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 - 2)\/(1\/(-3)). Let u be ((-130)\/8)\/((-3 + v)\/24). Let w(g) = u*g - 2 - 35*g - 33*g. Give w(3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 129\/260 and 97\/220?\nAnswer: 2860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -19 * -6.5\nAnswer: 123.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 5 = 2*i, -9*i + 13*i = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 12*u + 1. Calculate the remainder when y(1) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11455 - -11455.5599. What is g rounded to 2 dps?\nAnswer: 0.56","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2002 - -16017\/8. What is the nearest to -1\/3 in 4, -2\/5, 25, t?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*y - y**2 - 3*y)*(-33*y + 71*y - 36*y) - 3*y**3 + 3*y**3 - 2*y**3 in the form m*y + q*y**3 + f + u*y**2 and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the third derivative of x**3 + 6*x**2 + 0 + 0*x + 1\/24*x**4. Determine d(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 948219, 948319, 948419, 948519, 948619, 948719?\nAnswer: 948819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 51 = 2*q. Suppose -3*c - 15 = 0, c = 4*l - c + 74. Let i = q - l. Does 16 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*b + 3*b + 3*p - 3, -4*p + 4 = 4*b. Solve -y + 4*q + 11 = -b, -2*y + 6 = -4*q for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-14))\/(5\/(-35))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1058957 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, -0.3, 10\/11, 0.0344, 71 in decreasing order.\nAnswer: 71, 10\/11, 0.0344, -0.3, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -5. Let t(i) = 4. Let m(v) = -5*n(v) - 6*t(v). Let q = 54 + -55. Let f(z) = -2*z - 6. What is q*f(d) - 5*m(d)?\nAnswer: 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c - 6*c + 0*c)*(-1604 + 1604 + 88*c + (3 + c - 3)*(0 + 1 - 3))*(1 - 3 + 0*c**2 - 2*c**2).\nAnswer: 344*c**4 + 344*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-148)\/((-10)\/5))\/2. Suppose -q = -5*u + 108. Which is greater: 28 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.29694 rounded to 2 decimal places?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*w + 3*w = -65*w + 24381. Calculate the remainder when 604 is divided by w.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*s + 4*s + 73 + 4*s - 51 + 5*s to q + k*s and give q.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -884 = -b + 4*y, -5*b - 2*y + 4372 = 2*y. What are the prime factors of b?\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 151*n - 71. Let j(p) = 82*p - 39. Let r(w) = 11*j(w) - 6*u(w). Let s(o) = -17*o - 6*o - 17 + 0. Determine -34*r(y) + 6*s(y).\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 2*a + 6. Let m(b) = -2*b + 34 + 0*b - 32. What is m(a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.8 - -5. Let z = -0.07 + 2.07. Which is the biggest value? (a) h (b) 5 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 92\/9 + (-8)\/36. Let a = k + -19. Is -68*(a\/4 - -1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a centimeter in micrometers?\nAnswer: 17500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 3*a + 15, 12 = 4*p - 5*a - 13. Let b(d) = -d**3 + d - 36. Let l be b(p). What is the units digit of (l\/1)\/(-2 + (-4 - -5))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 h when two letters picked without replacement from hehhhhhhh.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Product of -0.23 and 0.5.\nAnswer: -0.115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 260 and 80.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10006 + -5797. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*(l*l**(-1\/2)*l)\/l*l)**(9\/5))**(-3\/26)\/(((l**0\/l*l)\/(l\/(l\/(l*l**(2\/19)))))\/(l\/l**(-1))**(-7)) assuming l is positive.\nAnswer: l**(-13253\/988)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -34 - -33.5. Let c(x) = -x - 5. Let m be c(-6). Suppose -2*f - 1 = m. Put 1\/2, f, l in increasing order.\nAnswer: f, l, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3, -1\/4, -4362, -0.14?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*b**3\/5 + 116*b**2\/5 + 1024*b\/5 + 2112\/5 = 0. What is b?\nAnswer: -4, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:36 AM and 10:48 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 + 50*s - 105. Let l be m(2). Solve -16*o = l*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/(-14))\/(-5*5*(-2)\/(-20))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**4\/2 - 603*g**3\/2 + 11907*g**2.\nAnswer: 3*g**2*(g - 147)*(g - 54)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of k**6\/40 - 2*k**3\/3 + 3*k**2\/2 - 4. Let v(x) be the second derivative of q(x). Differentiate v(h) with respect to h.\nAnswer: 9*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7.14 + 492367.\nAnswer: 492359.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -153389 != -153390?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -325*a**3 - 4*a**2 + 16*a + 3. Let v(o) = -323*o**3 - 4*o**2 + 12*o + 3. What is -3*j(t) + 4*v(t)?\nAnswer: -317*t**3 - 4*t**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t + 776*t**2 + 3 - 2 - 1.\nAnswer: 776*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 + 13074*m + 78424. Calculate v(-6).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 363?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 120\/28 + (-40)\/140?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of 2*p**6\/15 - 27*p**5\/10 + 14*p**4\/3 - 3*p**2\/2 + 89*p. What is the third derivative of f(r) wrt r?\nAnswer: 96*r - 324","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -20*l**2 - 13*l + 34. What is v(3)?\nAnswer: -185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 800 is divided by 331.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -880 * -0.5.\nAnswer: 440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100011110110110 - 100?\nAnswer: 100011110110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*a + 1459 = 1725 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in nine tenths of a kilometer?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 65426?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 150223319.\nAnswer: 79, 269, 7069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 + -1434079?\nAnswer: -1434078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 44, -1, -4 in ascending order.\nAnswer: -4, -1, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + -c4b9?\nAnswer: -c4bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 478*o**2 + 43*o + 205. Is u(-5) a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-355)\/(-142))\/(1\/2 + 0). Solve 15 = 5*x - w - 4, 3*w = u*x - 17 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62341 is divided by 157.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2b8c0b - 8?\nAnswer: 2b8c03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.048 + 73.952. Let s = -72.2 + o. Sort s, -0.2, -3 in decreasing order.\nAnswer: s, -0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of i**5\/20 + 13*i**4\/12 + 3*i**3\/2 - i + 29. Suppose 3*g + 18 = -h, 4*h = 9*h - 4*g + 52. Does 12 divide y(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 433367 = -518*d + 407467 for d.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the second derivative of -r**4\/3 - 67*r. Let j(f) = 4*f**2 - 5*f + 5. Let c(t) = -t**2 + t - 1. Let w(d) = 10*c(d) + 2*j(d). What is y(w(m))?\nAnswer: -16*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2021, 2028, 2061, 2132, 2253?\nAnswer: 2436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3*1*10\/(-6). Let c = -800 + 774.5. Let u = c - -25.9. Put -0.05, r, u, 4\/3 in ascending order.\nAnswer: r, -0.05, u, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32025.44 days to minutes.\nAnswer: 46116633.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2 - v - 2. Let o(g) = g**3 - 7*g**2 - 4*g + 8. Let z(w) = 2*c(w) + o(w). What is z(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 290*w - 299*w + 45. Let u(r) be the third derivative of 0*r + 0*r**4 + 0*r**3 - 6*r**2 - 1\/30*r**w + 0. Let m(h) = 8*h**2. Determine u(m(g)).\nAnswer: -128*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = w + w, 2*u = -w + 10. Let p be (-2)\/5 + (456\/90 - u). Let m = 2.3 + -0.3. Sort 1\/3, m, p.\nAnswer: 1\/3, p, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -49*p - 729. What is f(-22)?\nAnswer: 349","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 e when three letters picked without replacement from eettt.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -621.8 + 575. Let f = s - -47. Are f and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 78.2 + 464.\nAnswer: 542.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 35636507 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.723077 rounded to one dp?\nAnswer: -5.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 263*a = 1428*a + 24465 for a.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 8*a - 810 = 0. List the prime factors of a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2368*o**2 + 1293*o**2 + 3759*o - 861*o**2 + 3524*o**2 - 545*o**2 wrt o?\nAnswer: 11558","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/13 - (-58)\/116*2686\/221.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3889364, 3889363, 3889362, 3889361, 3889360, 3889359?\nAnswer: 3889358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78 = -0*c - 2*c. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p\/((((p**(2\/19)\/p)\/p)\/p)\/p)))**(24\/7)*p\/(p*((p\/(p*p**(-2\/21)))\/p*p)\/p*p)*p**(-7\/2)\/p)**(-45) assuming p is positive.\nAnswer: p**(214845\/266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4, -201, -1, -4, -3 in ascending order.\nAnswer: -201, -4, -3, -2, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 5 = -10. Suppose h*l - 8 = 12. Solve l*u - 16 = -2*r, r + 8 = 3*u + 1 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 - 9*t**2 - 10*t - 14. Let w be q(-8). Let i be (-5 + 3)*(-1)\/1. Solve a - w = i*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 6) to base 4\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/65208 and 111\/2288?\nAnswer: 130416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 550 = 2058*m - 2056*m, 5*h + m = 677. What is the remainder when 369 is divided by h?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, 93.33, 0.1, -2, 2, 0.4 in ascending order.\nAnswer: -2, 0.1, 1\/6, 0.4, 2, 93.33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 175 = 5*u - 3*c, 2*u - 2*c - 70 = -7*c. Suppose 0 = -4*p - p - u. Suppose 2*i + 22 = 4*w - 8, -5*w = -25. Are p and i nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 241, 979, 2213, 3943, 6169?\n\"Answer: 248*k**2 - 6*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -5087, -10178, -15269, -20360, -25451, -30542?\n\"Answer: -5091*p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 781682566?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15\/97 + -952\/5529. Let d = r - 46\/627. Let y = 1.2 + -1.2. Which is the closest to -1\/4? (a) d (b) 0.2 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*o**3*p**3 + 19*o**3*p - 177*o**2*p**5 + o**2*p + 4*p wrt p?\nAnswer: 24*o**3*p - 3540*o**2*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*d**4\/5 + 4*d**3 + 344*d**2\/5 + 624*d\/5 + 288\/5 = 0. What is d?\nAnswer: -2, -3\/4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2\/153045 + -1581679\/16375815. Find the common denominator of d and 67\/6.\nAnswer: 642","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -47953, -47943, -47937, -47941, -47961, -48003, -48073?\nAnswer: -48177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 58 = -2*c, 2*c + 35 = 3*x + c. Let o = -6 + x. Suppose w - 62 = -3*y + o*w, -4*y = -w - 60. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(99) + 1)*-2)**2*-4.\nAnswer: -57600 - 3456*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.0521 times -53?\nAnswer: 161.7613","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*l**2 - 152*l**2 + 50*l**2 + 64*l**2 + 6*l.\nAnswer: 12*l**2 + 6*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n - 1. Let b be o(6). Let w = 100 + -95. Suppose 0 = -2*q + 3*m + 2 + 62, -2*m = -w*q + 149. Solve 4*k - 14 = -0*s - 2*s, -b*s - 4*k = -q for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5 and 3914009643792?\nAnswer: 3914009643797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16615644*j**3 - 23369567*j**2 wrt j.\nAnswer: -99693864","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1)\/3)\/(2\/(-36)). Let w(i) = 2*i + 9. Let j be w(b). Suppose -15*x**2 + 273 - 142 - j*x - 137 = 0. Calculate x.\nAnswer: -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of a*i*w + 504*a*w**3 - 544*a*w + 542*i*n*w - 907*i*w**3 + 6*n*w**2 - 2*w**3 wrt i.\nAnswer: a*w + 542*n*w - 907*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-5))\/((-64)\/(-12)*(-114)\/(-80)).\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/1*6*3\/(-42)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -m - 2*w, -4*m - 6*w + w + 29 = 0. Suppose 2*a = -5*r + 9196, -2*r = 3*a - m*a + 13775. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -27040 - -27055. Let p = 4 - -7. Suppose -2*a = -m - p, a + 2*m + 7 + 0 = 0. Solve 0*i - a*i = z for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 91*d + 205. Let t be i(14). Let n = 216 + -1004. Let c = t + n. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/5)\/(21\/70).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(847) - (-2 + -2 + sqrt(7)).\nAnswer: 6 + 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 77\/15, 0.5, -3, -2\/3 in decreasing order.\nAnswer: 77\/15, 0.5, -0.4, -2\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1509690?\nAnswer: 2, 3, 5, 7, 13, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -3 (b) 3\/8 (c) -0.519 (d) -0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11 and 23 - -1*(3 - 2)?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2467 is divided by 63?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3618 - 3402 = 36*x. What is the nearest to 0 in 5, 2\/5, x?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in -3\/5, 84, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(1\/17))**(1\/6))**(5\/7) assuming d is positive.\nAnswer: d**(5\/714)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -295\/2232 - -2\/279. Which is the fourth smallest value? (a) 2 (b) -16 (c) w (d) -43\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 4*n + 6858204, 5*u + 2365230 = -5*n - 6207490. Let y = n + 10614548. Suppose o + t = 3*t + y, 0 = 2*t. Round o to the nearest one million.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.1 - 0. Let y = 67 + -66. Let g be y\/5 - (-3)\/45*-3. Which is the third smallest value? (a) s (b) -0.4 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12183534 by -106.\nAnswer: 114939","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - y - 102. Let c = 127 + y. Is c a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -288, -290, -292, -294, -296?\nAnswer: -298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the second derivative of s**4\/12 + 17*s**3\/6 - 26*s**2 + 21*s. Is 2 a factor of r(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 21246, 21232, 21202, 21150, 21070, 20956?\n\"Answer: -u**3 - 2*u**2 - u + 21250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 22*(-3 + 3 + -1). Let b be -1 + -1 - (21 + j). Which is bigger: -7\/11 or b?\nAnswer: -7\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2, -5, 3, 2\/11, -199?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5319*r**2 - 3 + 3437*r + 3 - 3437*r to u*r**2 + m*r + l and give u.\nAnswer: 5319","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -12*j - 78. Give w(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:18 AM and 2:57 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -3*q + 79, -5*q = -5*u - 84 - 41. Suppose -q*v + 375 = -20*v. What is the tens digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 884346.8 kilometers to meters.\nAnswer: 884346800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.05? (a) 225 (b) 0.4 (c) 181 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9612 divided by -3204?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = b + 21 + 177, 2*y = 4*b + 186. Let f = 232 - y. List the prime factors of f.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -c - 2*m, c - 4*c + 4*m - 12 = 0. Let j be 3 + 0 + c + 1. Suppose -5*a = -3*g - 38, -2*g = j*a - 0*g - 48. Is 4 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -205001004 (base 6) in base 15?\nAnswer: -4ae7a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1022491 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0031264116 rounded to six decimal places?\nAnswer: -0.003126","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let l = -24.277 + 0.077. Let d = 25.37 + l. Let t = d - 1.169943. Round t to 5 decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9.2 and -24.334.\nAnswer: -223.8728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 1524614 to the nearest 1000.\nAnswer: 1525000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 4:00 PM?\nAnswer: 10:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -3*i**2 + 0*i**2 + i + 4*i**2 + 0*i**2. Let n(o) = o**2 + 2*o + 1. Let d(l) = -n(l) + 2*s(l). Differentiate d(a) with respect to a.\nAnswer: 2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/1*296\/1776*(-57)\/2.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25 + 21 + (321\/(-66))\/(-1) and (-122)\/(-12) + 0\/(-2).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iv when two letters picked without replacement from avvijxxiidvi?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 935260009?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132 = 5*d + 3*l, -2*l + 0*l + 8 = 0. Let w(m) = 8*m**2 - 175*m + 346. What is the lowest common multiple of d and w(2)?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(2\/5))**(-10\/3)\/(j**(2\/15)*((j**(2\/17)\/j)\/j)\/j) assuming j is positive.\nAnswer: j**(-163\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 1 = -2*z. Let u(f) = 1. Let q(b) = 2*b - 3. Let y = 602 + -600. What is y*u(d) + z*q(d)?\nAnswer: 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 540135 to the power of 1\/2, to the nearest integer?\nAnswer: 735","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 340263*h - 2640033 wrt h.\nAnswer: 340263","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 726, 0, 0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/6 - 1\/(-3). Suppose 2*y + 16 = -2*g, 30*y - 34*y - 18 = -3*g. Let m be (-75)\/(-15)*(z - g). Solve 4*f = v - m - 0, f + 3 = v for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 0 - 45 = 0. What are the prime factors of n?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 greater than or equal to 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3295 + -3292. Solve 0 = q - 1, b*d = -d - 2*q + 14 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 111732047?\nAnswer: 7, 1619, 9859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14215296 and 768.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o = -2*h - 1, -5*h - 32 + 15 = 2*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d + 3*l + 9, d - 2*l = -4 - 0. Which is smaller: d or 2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(1539) + -3 + 1)**2 + 1 + ((1 + sqrt(1539))*3)**2.\nAnswer: 144*sqrt(19) + 15401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**3*c*c*c**(-2\/17))\/(c**(-5\/4)\/c**(2\/11)) assuming c is positive.\nAnswer: c**(4723\/748)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (11 - 4) - (15 - 1 - 4)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 + 6*m**2 - 3*m - 5. Let i be r(5). Solve 0*l = i*l + 15 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1392581 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -18*u**4 + 37*u**2 - 1. Let c(w) = -w**4 + 1. Let b(k) = -c(k) - l(k). What is the third derivative of b(n) wrt n?\nAnswer: 456*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 11\/4 of a day?\nAnswer: 3960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11780 is divided by 3795.\nAnswer: 395","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -512241 (base 6) in base 14?\nAnswer: -10b97","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -16598 > -16599?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the second derivative of -23*j**3\/6 - 147*j**2\/2 - 87*j. Calculate the remainder when 332 is divided by o(-8).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + (-5 - -17) - 17 - -1.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -16\/4745?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 60 = -4*v, -v = 3*c - 2*v - 69. Let i be ((-6)\/4)\/((-2)\/4). Suppose -2*u = -j - 48, 5*u - 35 = -i*j + 74. Which is bigger: c or u?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 - -25. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 6\/563 (b) 2\/5 (c) 0 (d) 42\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -94068, -188412, -283032, -377928, -473100?\nAnswer: -568548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 6*r - 2*r + 20 = 0, -4*g = -3*r - 22. Let m(b) = -406*b + 393. Let p be m(1). Sort -3, g, p, 2 in increasing order.\nAnswer: p, -3, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23 - -26. Find the third derivative of 21*c**2 - 7*c**2 + 3*c**3 + 2*c**5 - t*c**3 wrt c.\nAnswer: 120*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7498 = 4*p - 1394. Is p a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 less than -12619?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2 + j + 1. Let z(c) = -2*c**3 - 5*c**2 - 4*c - 3. Determine 5*f(d) + z(d).\nAnswer: -2*d**3 + d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/16 and 89\/236.\nAnswer: 944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2 - 8*a + 12. Let y be p(-9). Find the second derivative of 4*b - b - 4*b**3 - 2*b - b**y wrt b.\nAnswer: -30*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.17 times -0.5?\nAnswer: 0.085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.04 - -3.96. Let j = 3\/28 - -8\/7. Let n = 3.8 - 2.8. What is the closest to n in -4, l, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 21 = -21. Let o(u) be the third derivative of 0*u - 1\/15*u**3 + c + 1\/300*u**5 - 2*u**2 - 1\/120*u**4. Factor o(q).\nAnswer: (q - 2)*(q + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1017199?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -32, -552, -1 in decreasing order.\nAnswer: -1, -32, -552","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*i**2 + 0 + 1\/2*i**3 + 1\/2*i**5 + 0*i - i**4.\nAnswer: i**3*(i - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 21*s. Suppose 0 = 5*d - 3 - 7. Let l = d - 1. List the prime factors of h(l).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/3)\/g**(3\/7))**7 assuming g is positive.\nAnswer: g**(-23\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**2 + 14. Let f be x(0). Let o = 20 - f. Solve 0 = 5*t + 14 + o for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*v + 57 = 3*n, -505*v = -509*v + 4*n - 24 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (32\/(-24))\/(-7 - 99)?\nAnswer: 2\/159","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1607*h + 1577*h + 300 = 0 for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.55334291 to 4 dps.\nAnswer: 1.5533","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2972605?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 744\/(-144)*2112\/763840.\nAnswer: -1\/70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 9 = 140*p - 141*p, -2*m - 2*p + 8 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 28 by -4.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*h - 5*h + 15580. Is 41 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 740553?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -400494*x - 400501*x - 5*x**3 + 800995*x - 2*x**3 - x**3.\nAnswer: -8*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5873582, 5873566, 5873550, 5873534, 5873518?\nAnswer: 5873502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -18*f + 37*f + 11*f - 90 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -52 + 55. Let c be (-9)\/(-27)*z\/(-4)*-12. Suppose -206 = -2*n - p, 348 = c*n + p + 38. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4410\/20)\/21*72\/14.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*d**3 - 35*d**3 + 112*d**3 - 27*d**3 - 27*d**3.\nAnswer: -3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1920 and 6480?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1157958*h - 578974*h - 579088*h.\nAnswer: -104*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 343\/47 or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(-1)*j*j)\/j*j)**25)**(-22) assuming j is positive.\nAnswer: j**(-550)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 <= 1\/118?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together 68101298029603 and 0.5.\nAnswer: 68101298029603.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-two thirds of a week in hours?\nAnswer: 3472","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 3*c - 13. Let z = 2279 + -2272. Determine x(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + -1. Suppose -d*r = -r - 3*f - 52, 4*f + 104 = 2*r. What is the remainder when r is divided by -2 + 2\/2 - (-53 + 34)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 3*f + 9 + 4 = 0, 3*f - 15 = 3*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -83*f - 460. Calculate the remainder when p(-6) is divided by 36.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23452 is divided by 3342?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -412728 divided by -87.\nAnswer: 4744","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 5*l - 29 = 0, -2*l = -215*o + 211*o - 46 for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 2*v + 5. Let x(d) = -8*d + 14. Let m(n) = -n + 7. Let f(z) = 6*m(z) - 3*x(z). Give f(o(q)).\nAnswer: 36*q + 90","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 8, -16, 7, -4, -3 in decreasing order.\nAnswer: 8, 7, -0.1, -3, -4, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1374*f - 3479 wrt f.\nAnswer: -1374","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + z + 68 = 0. Let y = -8 - z. What is the remainder when 24 is divided by y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 + (-11 - 20) - (-10 + -4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -222*o**3 - 169*o**2 + 124*o**3 - 64*o - 83*o**2 = 0.\nAnswer: -16\/7, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 4:02 PM?\nAnswer: 10:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 e, and 1 q when three letters picked without replacement from oeaaaabeeqa.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -239, -8, -76 in decreasing order.\nAnswer: -3, -8, -76, -239","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4340854*h**3 + 88269*h**2 - 2 wrt h?\nAnswer: 26045124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - -1101?\nAnswer: 1120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**38*h**(-2\/75))**11 assuming h is positive.\nAnswer: h**(31328\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dhdvvbdzdvuzbdvv. What is prob of picking 1 d and 3 v?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -115, 3, 9, 1, -0.1 in descending order.\nAnswer: 9, 3, 1, -0.1, -115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 - b**2 + b. Let s(x) = -863*x**3 + 282*x**2 + x + 1. Let v(g) = -2*n(g) + 2*s(g). What is the third derivative of v(r) wrt r?\nAnswer: -10368","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 81 + 2. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**2 + 7*v - 4. Let s = 14 - 8. Let u be p(s). What is the third derivative of -c**u + 2*c**2 + 5*c**6 + c**2 wrt c?\nAnswer: 600*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 201 + -137. Suppose 2*q - 4 - 12 = 0. What is the greatest common divisor of z and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from {u: 5, q: 2}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 39280 and 5067120?\nAnswer: 5067120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lyyklylk. Give prob of sequence kkl.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 4*h = 42 - 12, -4*a + 5*h - 60 = 0. Let z = a + 35. Let j(x) = 6*x + 2. Let s be j(8). Calculate the highest common divisor of s and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 238?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 6075*b**3 - 6345*b**2 + 273*b - 3 = 0.\nAnswer: 1\/45, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2121 - 567 - 1051)*(3*j**4 - 4*j**4 - 4*j**5 + 3*j**5).\nAnswer: 3739*j**5 + 3739*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-30)\/(-9))\/((-1)\/(-18)). Suppose 20 = -2*d + l. Let p = 0 + 7. What is the remainder when d is divided by p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -958, 0.023, 1.4 in ascending order.\nAnswer: -958, 0.023, 1.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12155?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*r + 3*r - 4*r)*(-5 - 4 + 3)*(0*r - 3*r + 2*r) as i + d*r**2 + c*r and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2134 and 13871?\nAnswer: 27742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5*1*1\/(-1). Let l(d) = 9*d**3 - 2. Let s(f) = -2*f + 7. Let t be s(7). Let p(q) = -13*q**3 + 3. Determine t*l(k) + y*p(k).\nAnswer: 2*k**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1299 - -704. Let z = -17977\/9 + b. Calculate the common denominator of -2 + 3\/((-198)\/34) and z.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.9 - -7608.02661.\nAnswer: 7605.12661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 40100551 divided by -5?\nAnswer: -40100551\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 2:21 AM?\nAnswer: 12:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*h**4 - 2809*h**3 + 214*h**2 + 3864*h - 182?\nAnswer: 24*h**2 - 16854*h + 428","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4050 - 17?\nAnswer: 4037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.069 - 32.069. Let d = x + 22. Let t = 6854 + -6852. Which is bigger: d or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -155515 or -155513?\nAnswer: -155513","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 47*f**2 + 128*f - 161. Is m(66) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4\/(-8))\/(2\/(-8)) - -30. Suppose 0 = -4*l + 2*o + y + 38, 5*l = 4*o + 83. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 3*h - 0*h - 203, 3*h + 4*o - 218 = 0. List the prime factors of h.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 288186?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2. Let d(l) = 45*l**2 - 19*l + 15*l - 3 + 2*l + 2*l. Give a(d(j)).\nAnswer: 2025*j**4 - 270*j**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -66*v + 2260. Determine i(54).\nAnswer: -1304","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6321 is divided by 51?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = -4*t + 1 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 1468880?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -143 + 146. Suppose 35 = t - 3*f, 2*t - 78 = -4*f + 2*f. Calculate the remainder when t is divided by 100\/5*(n - 13\/5).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -15885 or -15883?\nAnswer: -15883","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Do -14283 and -14282 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 50 - -889?\nAnswer: 929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5572968.\nAnswer: 2, 3, 232207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 59.16 - -0.84. Let m = d - 85.9. What is m rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 45550, 91086, 136622, 182158, 227694?\n\"Answer: 45536*t + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in -2\/9, -2\/11, 182?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -5 + -2 + -4 - (38 - 0).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.06 and 0.110058.\nAnswer: -0.00660348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.074 and 37?\nAnswer: -2.738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3\/9*0)\/1. What is the second smallest value in m, -0.3, 3, 4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 2 + 1)*(-3*q + q + 4*q) - 4*q - 9 + 9 + q - q - q - 224427*q + 224525*q + 7 - 24 in the form h + y*q and give y.\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1163914212 to the nearest integer?\nAnswer: 34116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1487*f**2\/5 - 4163*f\/2 + 21\/10 = 0. What is f?\nAnswer: -7, 3\/2974","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m. Suppose -40*g = -41*g + 9. Let v(f) = -g*f + 403 - 403 - 20*f. Determine w(v(c)).\nAnswer: -29*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*x**3 + 2*x**3 + x**3 - 3*x + 3*x + 3*x**3 + (-2*x**2 + 3*x - 3*x)*(-3*x + 2*x + 0*x) + (-x**2 + 0*x**2 + 3*x**2)*(3 + 3 - 5)*(x - 2*x + 2*x).\nAnswer: 6*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x**(-1\/2))\/x)\/(x\/(x\/((x\/(x\/((x*x**(-3\/5)\/x)\/x)))\/x)*x)))\/(x**(-2\/3))**(2\/189) assuming x is positive.\nAnswer: x**(17617\/5670)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.03 + 1.03. Let y = 0.94 - s. Let t = 4.06 + y. Put 2\/3, -2\/19, t in decreasing order.\nAnswer: t, 2\/3, -2\/19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4073523137 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand r - 3 + 3 + (4 + 0 - 3)*(0 + 2*r + 0) - 125*r + 11 + 123*r - 11.\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -216 divided by 9.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzfzzzzz. Give prob of picking 3 z.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - 0. Let r = k + 21. Calculate the remainder when 89 is divided by r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0.5, -0.4, -4, -0.31937, 1 in decreasing order.\nAnswer: 1, 0.5, -0.31937, -0.4, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -497*k + 638*k = -1833 for k.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 86? (a) 12\/23 (b) 3 (c) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.01 * -121.9\nAnswer: 1.219","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 - 3. Suppose 52 = -2*x + 3*x. Let m be (-4)\/(-18) + x\/f. Solve m = 3*l + 3 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 5*b - 12 = 0, -5*q - 3*b = -11 + 26 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17163*h**2 - 17156*h**2 + 11*h**3 + 4*h**3.\nAnswer: 15*h**3 + 7*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + v)*(2 + 1 - 2) - v + 2*v + v - 254 - 248 + 502 + 34921*v.\nAnswer: 34924*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 368 - 267 = 52*q + 361 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 59241498?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 613925?\nAnswer: 5, 13, 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 185659*q**2 - 93021*q**2 - 92628*q**2.\nAnswer: 10*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -5*q**3 + 2*q**2 + 10*q - 3. Let c(x) = -3*x**3 + 2*x**2 + 9*x - 4. What is 3*c(g) - 4*k(g)?\nAnswer: 11*g**3 - 2*g**2 - 13*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y - 3*y - y)*(21*y + 16*y - 13*y) + (-3*y**2 + 3*y**2 - y**2)*(3 - 4 + 3).\nAnswer: -26*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 - 50*n - 272. Let b be s(-5). Solve 3*j - 5*j - 12 = 2*y, 0 = -b*y + 5*j - 2 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6 plus 11278588.246005?\nAnswer: 11278587.646005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 440 and 377576?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25766, 25808, 25922, 26144, 26510, 27056, 27818?\nAnswer: 28832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 31\/5 in -25, 4, 0.5, -2\/11, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**5 - 285*d**4 + 590*d**3 - 10*d**2 - 585*d + 295.\nAnswer: -5*(d - 1)**3*(d + 1)*(d + 59)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 7*n**2 - 5*n - 5. Let s(p) = 8*p - 5 + 3 - 10*p + 3*p**2. What is 4*c(q) - 10*s(q)?\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are 48 and 39 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 32\/336 - 484\/(-21). Determine g so that -z - 2\/7*g**2 + 36\/7*g = 0.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -g + 30, 5*g + 410*z - 31 = 413*z. Find b such that 2\/7*b**3 + 3*b**4 + 0*b + 0 + 19\/7*b**5 + 0*b**g = 0.\nAnswer: -1, -2\/19, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + 72?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-94)\/423 - 2*(-2)\/18. Suppose 11 = -0*h + 2*h - w, -3*h + 13 = 2*w. Solve h = -j*r + r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7462*x**3 + 820*x**2?\nAnswer: -44772","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 4*r**2 - 1)*(-r + 5*r - 2*r) - r**3 + 3*r**3 - r**3 + (-8 - 4*r + 8)*(-r + 5*r**2 + r) as g*r + s + l*r**3 + q*r**2 and give l.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 994.2644cm in millimeters?\nAnswer: 9942.644","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 + ((-4)\/(-66))\/(455\/70070)?\nAnswer: -23\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 a when two letters picked without replacement from {a: 3, p: 5, b: 8}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 8 + 0 = 0. Suppose 2*l - 1 - 7 = 0. Let y = l + -9\/2. Which is the second smallest value? (a) -4 (b) y (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 - f + 2. Let o be m(0). Find the third derivative of 2*p**3 - 5*p**3 - p**2 + 4*p**3 + 3*p**o wrt p.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2279.224 to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*l - 18 = 4*l - 98. Sort 7, l, 2, -5, 0 in descending order.\nAnswer: 7, l, 2, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/90)\/((-4)\/(-48)).\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/(-55) + (17\/(-110) - 0)?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 5*i = 6*i + 9, -2*i = -6 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 6*f + 13 - 5 + 12.\nAnswer: -6*f + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(1\/4)\/v)**(-8))**(-2\/29) assuming v is positive.\nAnswer: v**(-12\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 2*x**3 - 3*x**2 - 10*x + 4. Let v be j(4). Let m be (v\/14)\/((-7)\/(-49)). Let c be -33*3*(-2)\/9. Calculate the greatest common divisor of c and m.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Convert -341304301 (base 5) to base 9.\nAnswer: -2751233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 97, -4, -3, -5\/2.\nAnswer: -4, -3, -5\/2, -0.2, 97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 d when two letters picked without replacement from rdthy.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -9, -82, -277, -654, -1273, -2194, -3477?\n\"Answer: -10*c**3 - c**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**2*o*o**(-1))**(-4\/21) assuming o is positive.\nAnswer: o**(-8\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 763*y - 37337 - 27065 - 7320 = 0 for y.\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, b: 3, l: 2, k: 9}. Give prob of picking 2 c.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lll. Give prob of picking 3 l.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (26 - 99) + 38 + 13?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the first derivative of 0*a**3 - 1\/140*a**5 + 10*a - 1\/42*a**4 + 5 + 0*a**2. Let g(t) be the first derivative of p(t). Find v such that g(v) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 930, 932, 932, 930, 926, 920?\n\"Answer: -a**2 + 5*a + 926","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*x - t - 8, -x - 5*t - 1 - 3 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 0, j - 2*j + 6 = 2*g. Suppose -y = g*y - 8. Solve 2*t - 3 = -0*b - 3*b, 2*b - y = -3*t for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -218\nAnswer: 3\/218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3590110.\nAnswer: 2, 5, 31, 37, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 2*i - 22. Let p be j(12). Suppose -p*x = -7*x. Suppose -5*k + 15 = -x. What is the smallest common multiple of 8 and k?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.0255, -0.02, -1, 1\/5.\nAnswer: -1, -0.02, 0.0255, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 - -4. Put 1\/8, 3\/2, z in decreasing order.\nAnswer: 3\/2, 1\/8, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 649946 and 310?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 10*h. Let c be j(1). Suppose 5*y - 4*y - c = 0. Suppose -2*a = y - 248. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 89 divide 237274?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (930\/12)\/(-31)*8\/(-75)?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 65966? (a) 1.7 (b) 0.08 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 e when three letters picked without replacement from exexffeeexffexeef?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4 + 2 - 1) + 3. Solve 0 = -3*f + 4*i + 24, -4*f + 2*i + i + 25 = x for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22052 divided by -74.\nAnswer: 298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(720) + 0 + sqrt(720) + sqrt(720)))**2 - ((sqrt(720) - (sqrt(720) + 2)) + 4).\nAnswer: 233278","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -2*z**3 - 12*z**2 + z + 32. Let b be c(-9). Suppose 4*m - 3*m + b = 0. Round m to the nearest ten.\nAnswer: -510","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4831933 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*d = 49*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 7*y + 2. Let k(a) = -3*a. What is k(p(r))?\nAnswer: -21*r - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 2*y - 1, -y - 48 = -5*n. Calculate the least common multiple of 9 and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82 = 3*r + 4*h, -3*h + 2*h = 4*r + 92. Sort r, -3, -0.1 in descending order.\nAnswer: -0.1, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6555 is divided by 3246.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5060, 12, -0.4, -2\/11 in decreasing order.\nAnswer: 12, -2\/11, -0.4, -3, -5060","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*m - 280 = 3*m. Calculate the highest common divisor of m and 196.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -3, -o = 3*q - 6*q + 1. Suppose -2*u + 0*u = -a + 1, o*a = 5*u + 2. Solve -5*d + l = 24, -3*d - 18 - a = 4*l for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 5, -1, -4 in decreasing order.\nAnswer: 5, -1, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 5, f: 2, w: 8, r: 2}. What is prob of sequence er?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-1*sqrt(119) - 4*(sqrt(119) - ((sqrt(119)*-1 - sqrt(119)) + sqrt(119))))\/((-2*sqrt(70)*-4)\/(1*sqrt(160))).\nAnswer: -5*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13101 (base 4) to base 2.\nAnswer: 111010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 463\/174 + -8\/3. Find the common denominator of x and -71\/46.\nAnswer: 4002","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -672 - -2689\/4. Let t = -0.02 - 0.06. Which is the closest to -1? (a) -0.4 (b) q (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**3 - 11*i + 2*i**4 + 12*i - 3*i - 4*i**2 - 2*i - i**5.\nAnswer: -i*(i - 2)**2*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (8 + (-19 - -7)) - 16) + 10\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -2*s**2 + 15*s + 69. Determine r(0).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.24 + -0.24. Let q = h - -0.5. Let o = 2 + -6. What is the nearest to 2\/7 in -0.3, q, o?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z**5 - 15280*z**4 - 16894040*z**3 - 7855354670*z**2 - 1241471945635*z + 2514500706910 = 0. What is z?\nAnswer: -907, -337, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 7 = 17. Let w(g) = -4*g**2 - 7*g - 2. Let a(o) = -11*o**2 - 21*o - 6. Let u(l) = t*w(l) - 3*a(l). Let m be u(-7). Solve -q = -m + 3 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*n = -18*n - 94. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 2*p - 2. Let r be u(2). Suppose 4*n + 9 = 3*w - 1, r*n = 4*w. Let q be -2 - (2\/6 - 2). Which is the smallest value? (a) 5 (b) w (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + -13?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 845 at least as big as 117540\/139?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 478070 to the power of 1\/5, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i**(-30)*i))**(-8\/9)*i**5\/i**(14\/3))**(33\/4) assuming i is positive.\nAnswer: i**(-869\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 + -13.5. Let z = 30\/7 + -141\/28. Let p = 8 + -7.7. What is the third biggest value in p, w, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = -5*m + 9 + 3, 0 = -2*m - v + 5 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 165 + -160. Suppose 0 = -b*p - 4*i - 9 + 29, 4 = p - 5*i. Let y(a) = a**2 + 2*a - 6. Give y(p).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00031291 to five dps.\nAnswer: -0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**4\/5 + 12*u**3\/5 - 21*u**2\/5 + 2*u.\nAnswer: -u*(u - 10)*(u - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**4\/6 + 1810*c**3\/3.\nAnswer: c**3*(c + 3620)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2058641 and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*m + 78 = -6. Let p(z) = 4*z**3 - 11*z**2 + 11*z + 11. Let b(o) = o**3 - 3*o**2 + 3*o + 3. Calculate m*p(y) + 22*b(y).\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -306*d*f**3 + 2*d*f**2 - 63*d*f + 90*d + f wrt f.\nAnswer: -1836*d*f + 4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 - 1. Let z(l) = -18*l**2 + 10. Let n(y) = 10*u(y) + z(y). Let m(f) be the second derivative of f**3\/6 + 3*f. Give n(m(o)).\nAnswer: -8*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 AM and 11:13 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -7*d**3 - d. Let w = 50 - 44. Suppose 4*n = w*n - 3*m + 7, -21 = 5*n - 4*m. Let b be n + 20\/5 - 0. Give j(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times -1068160?\nAnswer: -213632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -57866 or -0.4?\nAnswer: -57866","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -34 + d?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 10*x**2 - x - 1. Determine l(4).\nAnswer: 155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31 + 19 + -39 + -9 - -16.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (-3 + -5 - -5 - 0)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 2*z**2. Let v(k) = 192*k - 49. Give v(c(o)).\nAnswer: 384*o**2 - 49","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-9)\/(-6))\/((-3)\/4). What are the prime factors of (m\/10*9)\/((-10)\/150)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the third derivative of -y**5\/60 - y**4\/6 - y**3\/3 - y**2. Let n(r) be the first derivative of j(r). Give n(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 10\/21 of a week?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 119213\/7 + -17027. Factor n - 24\/7*z**2 - 3\/7*z + 3\/7*z**3.\nAnswer: 3*(z - 8)*(z - 1)*(z + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 2008 = 140. Let u = l + 1761. Let y = u - 574. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -42.154085 to zero dps.\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -538 + 539. Let l be (-533)\/(-3) - (-4)\/(-6). Suppose t = -8*a + l. Is 5 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.56 - 0.4128?\nAnswer: -0.9728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 j when three letters picked without replacement from clrljrjlljjcxl?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 26*h**3 + h**2 + 24.\nAnswer: 156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 639*y + 2248. Calculate x(-4).\nAnswer: -308","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 - 3*x. Let s(b) = -3727*b**3 + 4991*b**2 + 12*b. Let c(m) = -4*h(m) - s(m). What is the third derivative of c(q) wrt q?\nAnswer: 22338","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the third derivative of 53*w**5\/60 - w**4\/8 + w**3\/3 - 37*w**2. Is 6 a factor of n(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (40 - 7) + -11 + (10 - 33) + (24 - 1)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 + 12*c**2 + 13*c - 4. Let q be b(13). Let i be 4\/(-2) + ((-16)\/q - -1). Solve -i*h - h = -y - 3, -h + 6 = -2*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**1\/h)\/h**(3\/4))\/((h\/h**(4\/7))\/(h\/(h\/h**2)*h))*(h**(-1)*h\/(h*h*h**(3\/5)))\/(h*h**(-2)*h*h\/(h*h**(-3\/5))*h) assuming h is positive.\nAnswer: h**(-333\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of -c**4\/6 + 5*c**3\/3 - 3*c**2 - 4*c. Let q(d) = -4*d**2 + 21*d - 11. Let x(z) = 5*o(z) - 2*q(z). Factor x(a).\nAnswer: -2*(a - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 5, 2520, 3\/14, -1 in descending order.\nAnswer: 2520, 7, 5, 3\/14, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -216 + 13. Let h = x - -222. What is the highest common divisor of h and 209?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 + 7*g**2 + 9*g + 3. Give p(8).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 419 a factor of 5467831?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 120278*b*x**2 + 6*x**2 - 586*x + 15 wrt b.\nAnswer: 120278*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, 21, -4, -1.\nAnswer: -4, -1, 2, 4, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 667, 2450, 5115, 8416, 12107?\nAnswer: 15942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1353887144 - o + 1353887144.\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**2 - g - 1. Let h be 4\/14 - 52\/(-14). Let o be i(h). Let p be 16170007\/o + (-1)\/(-3). What is p rounded to the nearest 100000?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 = 2*d + 4*r, 10*r + 90 = 5*d + 5*r. Let x be (38\/(-3))\/(13\/(-78)). Let s = x - d. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (32\/4)\/((-5)\/20*6\/3).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 573 is divided by 468.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24 and 378?\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6431065211 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 3 + (3 + 2 - 20).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes after 9:21 AM?\nAnswer: 4:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -255258 by -85086.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (24 - 20) + -10 - (23*2909 - -2). Round i to the nearest one hundred.\nAnswer: -66900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 203 (base 8) to base 9\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -36 + 35.99999914. What is o rounded to seven dps?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108*u + 103*u + 45 = 0. Do 66\/7 and u have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + (-14 - -30) + 686\/(-175).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, -29, -82, -157, -254, -373?\nAnswer: -514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 20*y + 23*y + 22*y + 64*y.\nAnswer: 129*y + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 931?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eoryoaeoeereraaewwr. What is prob of picking 2 a?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 14*w**3 + 4*w**2 + 4*w + 14. Let o be q(-3). Is -340 < o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 63\/8410 and -75\/116.\nAnswer: 16820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*p + 7*p + 35*p - 41*p - 16*p**2.\nAnswer: -16*p**2 + 4*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes before 8:58 AM?\nAnswer: 2:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2*q**2 + q + 1. Let h(b) = 15*b**2 + 2*b + 1. Let f be h(-1). Let o(i) = -i**2 + 12*i - 18. Let p be o(10). Suppose -5*y = p*y + f. Determine x(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3 - 2)*1*7. What is the common denominator of 1\/w + (-23845)\/(-665) and 76\/21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/2*(-5)\/(300\/8).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3120 divided by -15.\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -5760 divided by -24?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -50091043\/627 - -79890. What is the common denominator of -87\/2 and l?\nAnswer: 1254","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -432 - -615. Calculate the least common multiple of 10 and y.\nAnswer: 1830","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the second derivative of -b**8\/6720 + b**7\/504 + b**6\/360 - b**5\/40 + b**4 + 8*b. Let p(h) be the third derivative of l(h). Calculate p(3).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**2\/2 + 366723*t - 733449\/2.\nAnswer: 3*(t - 1)*(t + 244483)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - 1 - (6 - (-81 + 90 + (1 - 56)))?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 7:23 PM?\nAnswer: 3:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1393?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 573670.\nAnswer: 2, 5, 57367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2104044 + -2?\nAnswer: 2104042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -553 - -3877\/7. Find x such that 0 + z*x**2 + 3\/7*x + 3\/7*x**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 AM and 10:55 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16170 and 12437670?\nAnswer: 136814370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*l - 6*l = -139*l - 49*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -454*h + 22227. Give m(46).\nAnswer: 1343","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1.2228 and -18.57.\nAnswer: -19.7928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1668897752 a multiple of 316?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 565505055.\nAnswer: 3, 5, 3361, 3739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 2*q**3 - 44*q**2 + 10*q - 219. Let s be b(22). Sort -279, s, -3 in decreasing order.\nAnswer: s, -3, -279","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*d**(2\/3))*d)**(-9)*d**(11\/5)*d**(-11) assuming d is positive.\nAnswer: d**(-59\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 15 = 2*k. Let f be -1*2*k\/(-2). Let i = -6 + f. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -15*i**2 - 759*i + 306 = 0?\nAnswer: -51, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-39)\/(-9) + 2\/(-6). Suppose -4*i = 6 - 22. Suppose -i*m + 10 = -2*m. Solve -w - m - 9 = -o*d, d - 3 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1357741203 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 + -1230202?\nAnswer: -1230210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(9)*1)\/sqrt(3) - (sqrt(27) + 3).\nAnswer: -2*sqrt(3) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**4 + 129*s**3 + 549*s**2 + 699*s + 282.\nAnswer: -3*(s - 47)*(s + 1)**2*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -1\/3565?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 5*s + 22 = 0, -3*s = 3*v - 31 + 40. Is 13 > v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 2907?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*m**4 + 27124782*m**3 = 0. What is m?\nAnswer: -9041594, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, l: 2, e: 3, n: 3, a: 2, u: 1}. Give prob of picking 1 l and 3 e.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 530.\nAnswer: 1590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 - 20*z**2 - 8*z + 152. Let y be x(20). What is the smallest value in y, -22, 0.1?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the second derivative of 2*x**6\/5 + 3*x**5\/20 - 3*x**2\/2 + 24*x. Find the first derivative of r(g) wrt g.\nAnswer: 48*g**3 + 9*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.126 in 1\/5, -13\/10, -23?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 8603311, 17206648, 25809985, 34413322?\n\"Answer: 8603337*b - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -2*z - 21, 3*z + 2*t = -t - 18. Let a(k) = -k**3 - 2*k**2 + 4*k. Let q be a(z). Let w be q - -2 - (-1 + -2). Put -1, 0.1, w in decreasing order.\nAnswer: w, 0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000005992662 rounded to 6 dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 3*v - 2. Let f be l(2). Let a = 7 - f. Suppose 0 = -r - m + 6, 0*m - m + 26 = a*r. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 2*i = -6, g + 4*i = 3 + 13. Sort -5, -1, g in ascending order.\nAnswer: -5, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-63)\/(-6))\/(-1))\/(((-1185)\/5688)\/((-10)\/18))\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/3176 and 21\/130.\nAnswer: 206440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 - 5*p - 7. Let l be v(-3). Does 13 divide (32\/80)\/(-2*l\/660)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -22*l**2 + 26*l**2 + 16*l**2. Let y(j) = j. What is m(y(x))?\nAnswer: 20*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s, 1 v, and 1 y when four letters picked without replacement from ivlvlvbbilyvvillssbi.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/27 of a day?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -50142 + 232?\nAnswer: -45510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1055, -4755, -10883, -19433, -30399, -43775, -59555?\nAnswer: -77733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*p + 4*h - 11 - 12, 3*p + 4*h = -7 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.18 and 44022790.\nAnswer: -7924102.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and 0.007?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 128 + -204 - (3 + 2 + -12 + -1 + -1)\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 111.43*5410\nAnswer: 602836.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.05 - 0.08. Let k = 2.028 - 2. Let b = k + l. What is b rounded to three dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from {k: 1, r: 11}?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5\/4, 1, 1\/7 in decreasing order.\nAnswer: 1, 1\/7, -5\/4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 20*a*u**3 + 4*a*u**2 + 121*a*u - 3*a - 2394*u**3 + 57 with respect to a.\nAnswer: 20*u**3 + 4*u**2 + 121*u - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 12*m**2 + 4*m. Let w(a) = -a**2 - a + 2. Let i(b) = -8*b**2 - 7*b + 14. Let o(v) = 2*i(v) - 14*w(v). What is t(o(p))?\nAnswer: 48*p**4 - 8*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes before 3:46 PM?\nAnswer: 2:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2 - 1 + 5*j**3 - j + 5*j - 6*j. Suppose 0 = 3*x + 3 - 0. Calculate i(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 + 4 = 3*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -0.1 (c) 7 (d) 57082\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the third derivative of -b**3\/6 - 5*b**2. Let n(r) = -4 + 4 - 3*r - 4. Let j(d) = -n(d) + 2*t(d). Give j(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**(-17))**(3\/2))**(-33\/4))**(-2\/5) assuming k is positive.\nAnswer: k**(-396\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 n, and 1 o when three letters picked without replacement from vqotwon?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -64 - -126. Does 31 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the third derivative of s**6\/120 - 7*s**5\/60 + s**4\/8 + 3*s**3 + 2*s**2 + 6. Calculate the remainder when g(7) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - r + 5*r + 47 = 0, 2*f = 3*r + 23. Let w = 11 - f. Suppose 10 = -2*g, 0*g = -w*x - 2*g + 242. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2 (b) -0.1 (c) -17.3 (d) -5 (e) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 111 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 54610 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 6\/25 of a gram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1)\/m**(-2\/9))**(-27\/4)\/(((m*(m\/(m**(-5)*m))\/m)\/(m**(-8\/3)*m))\/((m*m**(4\/3))\/(m\/((m*m**6)\/m*m)))) assuming m is positive.\nAnswer: m**(83\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 + 16\/(-2))*-2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/29, -1\/2, -3\/4, -5, -94.\nAnswer: -94, -5, -3\/4, -1\/2, -2\/29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m*m**(-1\/4)\/m)\/m)**47)**23)**(10\/9) assuming m is positive.\nAnswer: m**(-27025\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 + 5. Suppose -4*u + 2 + 6 = b, x - 3*u - 547 = 0. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 531 and 856503?\nAnswer: 531","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -508435*m. Let z(d) = 606*d. Give 4*c(i) + 3355*z(i).\nAnswer: -610*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-6\/25)*(z\/(z\/z**22*z))\/z)\/(z**(3\/13))**(-44))**(-23) assuming z is positive.\nAnswer: z**(-223606\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -5*-234\nAnswer: 1170","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 448 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 = 5*k + 9. Let d = 10 - k. Is ((-16)\/6)\/(d\/18) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5.2 + 5.157. Let b = -0.0148 + 0.057854. Let r = b + o. Round r to five dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 691688 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 451188 and 15604.\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -77 or -76?\nAnswer: -77","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -554 not equal to -543?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 396?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-3375)\/210)\/25)\/((-27)\/72)?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 0.1, -5, -4, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8042 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 57\/21 - (-6)\/21. Suppose 4*f = x*n - 2, n - 5*f + 3 = -0. Suppose -14 = -0*i - n*i. What are the prime factors of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -353 - -1776\/5. Calculate the common denominator of p and 1 + 0 + 22\/(-18).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17*f**5 + 700469*f**2 + 4901*f - 18?\nAnswer: 340*f**3 + 1400938","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 0 - 3. Suppose -q*t = -5*d - 13, 11 = -0*t + 5*t - 3*d. Solve -u - 3 = t for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-16)*(-3)\/45*-30\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -2*k - 13. Let v be b(-9). Suppose v*m - 22 = -12. Solve 3*y = 7*a - 2*a - 5, m*y = 5*a - 10 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 - -3 - -2*1. Suppose -4*k - 3*p = -s*k - 9, -2*k = 3*p - 12. Differentiate -4*h**3 + 3 - h**k + 2*h**3 wrt h.\nAnswer: -9*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by -2082632.\nAnswer: 7\/2082632","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 245 times 0.2\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 378 and 189?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - l = -6*l - 16, 5*l = -5*m - 15. Let n be -2 - (-8 - 0)*m\/2. Suppose -453 = -4*q - b, n*q + 87 = 3*q - 5*b. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/1152 and -109\/4032.\nAnswer: 8064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 849, -137, -3, -0.5, -4?\nAnswer: 849","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4*1\/(1\/(-223)). Suppose -10*v = -6*v - z. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - -2. Suppose 4*f - 16 = -k*x, 0*f + f = x + 1. Suppose 6 = x*u - u. Solve -2*q = q - u for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 564492 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 242*h - 40 - 686 = 0. Put 53, -1, 0, h, -20 in ascending order.\nAnswer: -20, -1, 0, h, 53","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -6, -3.19, -1.4, -12?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**5)\/w**(-10))**(-14)\/((w**0)**(16\/7)\/(w*(w*w\/(w*w**(-2)))\/w)**(37\/4)) assuming w is positive.\nAnswer: w**(-225\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -156 divided by -156\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*q + 12910 = -3*b + 12835, 0 = -5*q + b + 59 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -144 + 143 + (0 - -11)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20 + -18. Which is the closest to -1\/4? (a) 4\/9 (b) o (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + 9. Suppose 2*f + 4*o - g + 23 = 0, 5*f + 10 = -4*o. What is the common denominator of f*(-1)\/(-8) - 155\/(-44) and -97\/58?\nAnswer: 638","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (6\/32)\/(3\/(-22)) and -47?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of -j**5\/20 + 5*j**4\/12 - j**3\/6 + j. What are the prime factors of m(3)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(126) - sqrt(126))*5)\/(-1*sqrt(12)\/sqrt(2)))\/(3*(sqrt(343) - 2*sqrt(343))*3).\nAnswer: -5*sqrt(3)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -8*b**3 + 2*b - 7. Let g(n) = 57*n**2 - 57*n**2 + 3*n - 7*n**3 - 8. Let q(z) = 3*f(z) - 2*g(z). Differentiate q(y) wrt y.\nAnswer: -30*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from {t: 5, b: 1, k: 2, n: 1}?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -2*f**3 + 12*f**2 + 3. Let r be g(6). Let s = -25 + 33. Suppose -17 = -r*c - s. Sort -6, -1, c in ascending order.\nAnswer: -6, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82537030?\nAnswer: 2, 5, 8253703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of 0*j**3 + 0*j + 0*j**5 - 7 + 0*j**4 - 2\/3*j**6 + 0*j**2. Factor c(t).\nAnswer: -4*t**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of 29*i - 24 + 0*i**3 + 1\/4*i**4 + i**2. What are the prime factors of y(0)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*z = 24*z + 21 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11111 - 4878. Is x a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 288 and 9936?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the third derivative of j**7\/70 + 11*j**6\/40 + 3*j**5\/4 - 27*j**4\/8 + j**2 + 179*j - 2. Factor l(g).\nAnswer: 3*g*(g - 1)*(g + 3)*(g + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = x - 2*y + 14, 0 = 112*x - 117*x - 3*y + 21 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 35 + -31. Let v(o) = -o**2 - o - 1. Let t(x) = -2*x**3 + 4*x**2 + 4*x + 2. Give q*v(a) + t(a).\nAnswer: -2*a**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.34 + -0.06. Let f = 1.4 + p. Let j = -184\/35 + 34\/7. Which is the second smallest value? (a) j (b) 4 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -74 + 78. Are x and 4 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dttetdhtd. Give prob of sequence hddd.\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(2736) + -4.\nAnswer: -5 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 2*a + 30564, -3141 = -4*m + 3*a + 37613. What are the prime factors of m?\nAnswer: 2, 19, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 3*q**2 + 5*q + 3. Let j(z) = -z**3 + 5*z**2 + 9*z + 5. What is -5*f(g) + 3*j(g)?\nAnswer: -3*g**3 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 10.6 (b) 4 (c) 5 (d) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i + 8. Determine y(-9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1052 and 1152?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 33090487*g**6 + 12208323*g**2.\nAnswer: 3970858440*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 + 2*(-36)\/(-8). Suppose -o*v = -3*v. Let h(i) = 0 - 95*i + i**2 + 94*i + v*i**2 + 1. What is h(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1916679 and -1916592 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/3 (b) -0.01841 (c) 2\/19 (d) -219\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1061506?\nAnswer: 2, 530753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1365 is divided by 228?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 40951, 81907, 122861, 163813?\n\"Answer: -n**2 + 40959*n - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (44 + -3 + 161 + -154) - (12 - 1).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1078 divided by 14.\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3 and 17?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 2 t when four letters picked without replacement from {k: 3, o: 4, s: 4, h: 3, t: 3}?\nAnswer: 9\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 5 + -2*sqrt(1300))**2.\nAnswer: -360*sqrt(13) + 5281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 28*h**2 - 2*h. Let l(f) = 55*f**2 - 5*f. Determine -5*j(s) + 2*l(s).\nAnswer: -30*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 0 (c) -0.1 (d) 204.8 (e) 1 (f) -4\/7 (g) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqa when three letters picked without replacement from {q: 7, a: 9}?\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/268 and 59\/556368?\nAnswer: 556368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 163 + 54*c - c**2 + 3*c**2 + 42 + 2*c**2 - 12*c with respect to c.\nAnswer: 8*c + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*w + 406 + 45 = 0. Suppose -2*q - 2*q = 0. Are q and w equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10892 * -5.\nAnswer: -54460","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(2) + -2) + -4*sqrt(2)*-4.\nAnswer: -6 + 19*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 0 - 9. Suppose 5*v - 3*p - 48 = 0, k*p = -3*v + 4*v - 12. Suppose 3*s = 4*s - 6. Solve 5*m + v = -s for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 35 = 3*n, 439*s + 20 = 435*s. Solve -2*u = 0, -2*u = -n*f + 12 + 13 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.53554 in 1\/2, -4\/23, -0.5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*v + v**3 - 2*v)*(4 + 6 - 5)*(v - 3*v + 4*v) as u*v + p*v**3 + n + a*v**4 + c*v**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2281 divided by 4615.\nAnswer: -2281\/4615","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 2206*q - 115. Is c(11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16359000 and 111000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-32))\/((-143)\/66 - -2).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the third derivative of i**5\/60 - i**4\/4 + i**3\/2 + 3*i**2. Let q be 4\/(-2) - (-2 - 4). What is y(q)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/3)\/((-410)\/(-492))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12648812?\nAnswer: 2, 11, 103, 2791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4202?\nAnswer: 2, 11, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2030 + -3201?\nAnswer: -11231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 AM and 6:46 AM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**2 - 3530*h - 31876. Give z(-9).\nAnswer: -187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17 + 98. Suppose 0 = j + 1 - 10. Calculate the greatest common divisor of j and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**4)**(-1\/54)*x**1\/x**(-1\/18) assuming x is positive.\nAnswer: x**(53\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -7*h**3 - 32*h**2 + 14*h + 46. Let i(a) = 3*a**3 + 14*a**2 - 7*a - 20. Let q(x) = -2*g(x) - 5*i(x). Determine q(-6).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 3*z + 83. Let x be j(-27). What is the fourth biggest value in 8, -3\/4, x, 2\/7?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9.3 - 9. Which is the third smallest value? (a) v (b) 5 (c) 6\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p + 5*p - 2*p)*(40*p**2 + 3*p**2 + 2*p**2).\nAnswer: 90*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/(-14) + -13*(-14)\/(-182). Which is the nearest to -0.2? (a) 0 (b) 0.2 (c) k (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 36 or -242\/3?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (-3 + sqrt(7) + -1 - sqrt(7)))*-5 + 4.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 301331 (base 12) in base 7?\nAnswer: 6235531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 1117020 (c) 0.1 (d) 20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 + 8 + 756*i - 27 + 10 - 758*i.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the third derivative of -11*t**9\/504 + 11*t**5\/60 + 9*t**2. Find the third derivative of p(z) wrt z.\nAnswer: -1320*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11444 - -16172. Which is greater: 4727 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t + 393 + 552 = 0. Calculate the greatest common factor of 54 and t.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-4))\/((-2)\/8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (3 + 28\/(-9))*6\/4\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -5*y + 9 + 2, -3*y - 27 = -3*m. Let h = m + -4. Suppose -x + h*s = -s - 16, x = 5*s + 17. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-2\/7)*v)\/v*v*v*v**(2\/23))\/(v\/(v\/v**19))**34 assuming v is positive.\nAnswer: v**(-103716\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3510.\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-39)\/12*(-160)\/40.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5 - 5\/2*p - 5*p**3 - 25\/2*p**2.\nAnswer: -5*(p + 1)*(p + 2)*(2*p - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 44 and 8231693.47?\nAnswer: 8231649.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 21 - 15 - -1 - (-320 - -235)\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkkckkccckkccck. What is prob of picking 3 k?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 8*c**3 - 4*c**2 - 4*c. Let a(k) = 7*k**3 - 3*k**2 - 3*k. Let u(h) = -h**3 - 3*h**2 + 7*h + 8. Let w be u(-4). Calculate w*a(z) + 3*p(z).\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = c + 555, 0 = 2*c - 3*c + 5. Let d = -109 - n. What is the tens digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46.60724 millennia in years?\nAnswer: 46607.24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3840 and 481992.\nAnswer: 77118720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -61, -117, -173, -229, -285, -341?\nAnswer: -397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/10 and ((-12)\/(-15) - 1) + (1122630\/(-57600) - -20)?\nAnswer: 1920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/9, 0, -2\/203 in descending order.\nAnswer: 0, -2\/203, -4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 2*q**2 - 6. Let h be 12\/9 - 12\/(-36)*8. Let c(b) = -b - 9. Let z be c(-12). Let j(a) = -3*a**2 + 7. What is h*g(r) + z*j(r)?\nAnswer: -r**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -0.7, 5\/3, 9\/77, 2\/9.\nAnswer: -0.7, 9\/77, 2\/9, 0.3, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*n + 2 = -2*n + 41. Let j(z) = -2*z**3 - z**2 - z - 4. What is j(n)?\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24932 to the power of 1\/3, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14 - (7 - 1)) + 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 32576743 rounded to the nearest 10000?\nAnswer: 32580000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*t**3\/17 + 1554738*t**2\/17 - 2539027602*t - 55498459122\/17 = 0. What is t?\nAnswer: -9\/7, 55527","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -2*k**2 + 3*k + 20. Let g be a(4). Solve -9*w + g*w = -0*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 5*s**2 - 1636*s - 11245. Give z(334).\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 8131692 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24.09 - 24.97. What is the closest to -1\/2 in 1\/3, o, 5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36520949 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, 36, 109, 214?\nAnswer: 351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 898 - 895 = 5*b, -15 = g - 4*b for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1176890116 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fp when two letters picked without replacement from nnfnnpnnnnfppnn.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 9613 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -360204095.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/5 of a kilogram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 770 + -61. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*o + 3*m - 1, -3*o + 4*m + 24 = m for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 54.1\nAnswer: 54.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 34*b**2 + 12*b - 45. Let m be c(6). Suppose 29*i = 32*i - m. List the prime factors of i.\nAnswer: 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1228*a**5*z**3 + 59*a**3*z**3 + 21*a**2 - a + 140*z**3 wrt a.\nAnswer: -73680*a**2*z**3 + 354*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 449*h**3 + 210*h**3 + 188*h**3 + 210*h**3 + 197*h**3 - 1219*h**3.\nAnswer: 35*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -55 divided by -975\nAnswer: 11\/195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 + 4*i**2 - 3*i - 4. Let x be 6 + -4 + 5 + 0. Let n be 26\/x + (-6)\/(-21). Suppose 0 = 2*u - 2 - n. What is t(u)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-57)\/38*(-64)\/(-42). Is -1 != m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.3, 0.1, 3, 5\/4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2640, -10851, -24702, -44199, -69348, -100155, -136626, -178767?\n\"Answer: -q**3 - 2814*q**2 + 238*q - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/((g**5\/g)\/g))\/(g\/g**(-5\/4))*g*g**19*g**(-1\/3) assuming g is positive.\nAnswer: g**(185\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -20*l + 10*l**2 + 27*l - 2 - 3*l**2. Let g(j) = 10*j**2 + 10*j - 3. Calculate -5*g(m) + 7*p(m).\nAnswer: -m**2 - m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7 and 29\/19848.\nAnswer: 19848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(-12) - 1\/4. Let p = n - -3. Let l(t) = 7*t - 3. Let g(x) = x. Let o(k) = 6*g(k) - l(k). What is o(p)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 6*p = -4*o + 542, -4*p + 2*o = -2168. Suppose -3*i + r = -778, -2*i - 3*r = r - p. Suppose -2*c + i = c. Does 29 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91 = -6*s + 13. Let k(f) = f**2 + 12*f - 6. Give k(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 74201450*k**2*s**3 + 28*k*s**3 + 9*s**3 + 6*s**2 - 35*s wrt k?\nAnswer: 148402900*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1179*t**2 + 605*t**2 + 593*t**2.\nAnswer: 19*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 8:57 AM?\nAnswer: 4:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(3)*1*6*1)**2*2.\nAnswer: -432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 158974001 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3\/(-2) - 8\/(-4))*50. Suppose 4*p = 1 - y. What is the lowest common multiple of 42 and (-7)\/(56\/12)*32\/p?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 14) in base 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 - 1)\/(3 + -4)*5. Let o be (-20)\/l - (1 + 13). Let m be 1\/4*(o - -4). What is the third biggest value in 4, m, 3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2 + 19*t + 14. What is h(-17)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(64)\/sqrt(2))\/((sqrt(36) + -2*sqrt(36))\/sqrt(9)).\nAnswer: -2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 PM and 1:21 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -4 + t + t**3 + 1 + 3*t**2 + 0*t + 2*t. Let g = -16 - -13. Let f(i) = -i**3 - 4*i**2 - 4*i + 4. Determine g*f(b) - 4*h(b).\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 3)*(-188*m - 1244*m - 472*m + 253*m - 639*m).\nAnswer: -2290*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = n - 65 - 65, 0 = -n + 4*a + 130. Suppose 0 = 2*s - n - 36. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*o - 3*r + 215 - 224, -3*r - 33 = -3*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**2 + 20*c - 4. Suppose d - 36 = -3*v - 0*d, -4*v = 4*d - 40. What are the prime factors of q(v)?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 2248426?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 + 0 + 1)*-1. Sort -5, 2, d in decreasing order.\nAnswer: 2, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of (10 - (-2*2 + 3)) + 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -23*p**2 - 4*p + 6 + 17*p**2 - p**3 + 0*p. Suppose 2*g - 5 = 3*g. Give m(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -687 + 687.11. Which is the closest to -9? (a) 1 (b) 0.5 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3735 and 11340.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2157247.\nAnswer: 2157247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 13) in base 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1900) + 0 + sqrt(1900) + 1 + (sqrt(1900) - (5 + 1 + sqrt(1900))))**2.\nAnswer: -200*sqrt(19) + 7625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (84\/(-56))\/(30638\/(-10212) - -3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1054129500 to the power of 1\/2, to the nearest integer?\nAnswer: 32467","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/6981576 and -31\/4986840.\nAnswer: 34907880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/7? (a) 3\/8 (b) 2 (c) 1 (d) 132 (e) -1\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -120101001 - -2?\nAnswer: -120100222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1552 divided by 8\nAnswer: -194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-39*w**2 - 622 + 622)*(6*w - w - 8*w) - 3*w**3 + 0*w**3 + 4*w**3 to z*w**2 + a*w**3 + f + y*w and give a.\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 57643 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1103220 (base 4) in base 9?\nAnswer: -7306","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 31, -3216, -4.\nAnswer: -3216, -4, 5, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2007*i - 4*y = 2005*i + y + 64, -5*i - 85 = 5*y for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: a93 (base 12) to base 7\nAnswer: 4344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 + 511*g - 890221. Give h(722).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/2)\/1*(-46)\/(-1196)*-13.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 13121130311 (base 4) to base 10\nAnswer: 1939253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 8*k**2 - 5. Let d(w) = -4*w**2 + 3. Calculate -7*d(b) - 4*p(b).\nAnswer: -4*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*l - 238 = 21 - 75 for l.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 7*j - 49. Let l be r(6). Let z(o) = -o**2 - 7*o + 10. Give z(l).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from fhfhofhhfhffhfdfhoff?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 155, 121, 87, 53?\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -49*j - 2041. What is a(-23)?\nAnswer: -914","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -10774b (base 16) to base 3\nAnswer: -2000211021020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -6*k + 33. Let p be m(3). Suppose -24*b + 63 = p. Put -32, -1, b in descending order.\nAnswer: b, -1, -32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -10*w**3 - 3186*w**2 + 7723*w + 6099. Determine f(-321).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 177\/20 - 43\/5. What is the nearest to -1 in i, -2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59978*o - 10*o**3 - 12*o**3 + 20*o**3 + 18268*o.\nAnswer: -2*o**3 - 41710*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 85183.\nAnswer: -4\/85183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 159940, 319857, 479774?\n\"Answer: 159917*t + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*i**2 - 161*i + 161*i + 3*i**2.\nAnswer: -5*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ykq. What is prob of picking 1 q and 1 k?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002354507005 to six decimal places.\nAnswer: 0.002355","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30 + 1694\/56 - 60.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of a**2*t + 6924225*a**2 + 7*a*t - 58524*t wrt t?\nAnswer: a**2 + 7*a - 58524","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -14298*y**2 + 4*y + 4. Let b(d) = -9*d**2 - 2*d - 2. Determine -2*b(h) - z(h).\nAnswer: 14316*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from mmm?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/((sqrt(20)*-2)\/sqrt(10)).\nAnswer: -sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + 6. What is the least common multiple of 9 and c?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-8)\/(-16))\/((-1)\/1))\/((-1)\/2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**3 + 10*v**2 + 10*v + 10. Let r be f(-9). Put r, -1, 3 in ascending order.\nAnswer: -1, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -179 + -28. Suppose 3*w - 3 = -12. Calculate the remainder when (w + 11\/3)\/((-3)\/k) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxc when three letters picked without replacement from recxzxxzxrxx.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(171))*6 + 3)**2.\nAnswer: 324*sqrt(19) + 6237","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -12*f**4 + 521*f**3\/3 - 476*f**2 + 589*f\/3 - 22 = 0.\nAnswer: 2\/9, 1\/4, 3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n - 1. Let o be m(6). Suppose 249 - 84 = o*b. Suppose 2*h + 0*h - 126 = 0. What is the remainder when h is divided by b?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (1*-2)\/((-9)\/(-11)) and (-23)\/(322\/(-16)) + 7?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31677916*u**2 + 31677916*u**2 + 8*u**3.\nAnswer: 8*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j = -3*w - 32, 0 = 4*w - 3*j + 322 - 289 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1)\/4)\/(-1 + 209\/220). Let l(b) = b - 3. Let c be l(6). Solve -5*p = -k, -p - 3 = c*a + 5 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 86485 and 7.\nAnswer: 605395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-315)\/931 + 403\/7657?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zs when two letters picked without replacement from {z: 5, s: 8}?\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1156, 2311, 3466, 4621, 5776?\nAnswer: 6931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 2*y**4 + 26*y**3 - 209*y**2 - 2*y - 2. Let p(u) = -2*u**4 - u**2 + u + 1. Let g(x) = -2*p(x) - s(x). What is the third derivative of g(h) wrt h?\nAnswer: 48*h - 156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1036768685?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -3*p - 6. Let o(g) = -10*g - 17. Let f(b) = -8*m(b) + 3*o(b). Let a(s) = 8*s - 130. Let l be a(16). Determine f(l).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2778 divided by 6\nAnswer: 463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -29119*s**3 - 18540*s - 2 wrt s.\nAnswer: -174714*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45907*b**2 + 15 + 91787*b**2 - 45933*b**2.\nAnswer: -53*b**2 + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -6*w - 81. Let h be d(-14). What is the greatest common factor of 33 and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 + 0)*(16 + -12). Sort 4, -0.5, d, -1 in increasing order.\nAnswer: d, -1, -0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 34 and 39746.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-1\/10)*k\/(k\/k**7))**(-23)\/((k**(2\/9)*k*k)**(-1)*(k**2\/k)\/(k**(3\/4)\/k)) assuming k is positive.\nAnswer: k**(-32531\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 77782 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-3)\/(3 + -6))\/1. Let v be (4 - 3) + (-23)\/21. Is u at most as big as v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -7*a + 139. Let s be r(17). Let u be s\/8*6\/25. Suppose -5 = 3*p - 8*p. Sort p, u, 0.\nAnswer: 0, u, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 - 45*n**2 - 227*n + 335. What is j(-39)?\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 64604 a multiple of 103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14379972 divided by 6.\nAnswer: -2396662","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 divided by -58?\nAnswer: -9\/58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 5 = 2*g, 5*g - 1 = 2*s - 3. Suppose -4*o + 3*u + 11 = 0, -o + 4*u + 0 - 7 = 0. Solve s = 2*t + o for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -328, -334, -344, -358, -376, -398?\n\"Answer: -2*j**2 - 326","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of s**3\/3 - 233. Let b(g) = -3156*g. Give b(j(r)).\nAnswer: -3156*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z**2 + 2*z**2 - z**5 + (0 - 2 + 0)*(-z - z**5 + z) - 2*z**4 - 32*z**5 + 2*z**4.\nAnswer: -31*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*c**3 + 7 + 2 + c**3 with respect to c.\nAnswer: -18*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*v - 2*q + 116, -49*v + q = -48*v - 7. Which is the third smallest value? (a) v (b) -8 (c) -3 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1161, 1184, 1207, 1230, 1253?\n\"Answer: 23*d + 1138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2 - 10*i - 4. Let f be d(-9). Suppose f*y - 16 = -2*s, 3*y = -2*y - 4*s + 12. Suppose 2*v = g - y, 1 = v - 2*v. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19999210 by 14630.\nAnswer: -1367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*f - 3*f - 42. Let c = 2 - f. Calculate the lowest common multiple of c and 12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1151388793 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 4 + 1)*(-3*r**2 + 4*r**2 - 8*r**2) + 7*r**2 + 6*r**2 - 85 + 83 + (-3*r - r**2 + 3*r)*(-2 - 3 + 7).\nAnswer: -10*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/5)\/((-4680)\/(-650))?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the third derivative of -4*p**2 + 1\/10*p**5 + 0*p - 1\/8*p**6 + 0*p**3 + 0*p**4 + 1\/35*p**7 + 0. Factor t(x).\nAnswer: 3*x**2*(x - 2)*(2*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = -2*q - 3*n + 16, -4*q + 3*n - 12 = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5008 - -6518. Calculate the greatest common factor of z and 60.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-60)*-3*-1\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99*u + 11 = 110*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + 21. Suppose -4*i - 5*o = -0*i + d, 3*i + 3*o + 12 = 0. Is i at least 1\/29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-130)\/325*(-10)\/4*4. Solve -g*b + 6 = -b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 34, -1, -5, 4, 11 in descending order.\nAnswer: 34, 11, 4, 2, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 h when two letters picked without replacement from bhjhgbhcwbwgbbw?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 3*n**2 + 2*n - 1. Let r be w(2). Suppose -2*b + 6*b - 4*q = 20, 5*b - 3*q = r. Suppose b = l - 5*l - 4. Is l != -3\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.41 * -140.8.\nAnswer: -57.728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 4)*(0*o + 0*o + 6*o) + 86*o + 109*o + 0*o + (5*o + o - 3*o)*(0 - 2 + 3).\nAnswer: 186*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 4*p - 0*p - 9, -3*p = -4*o - 23. Solve h - 3*d - p = -2, -5 = -5*d for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 11*h + 298. Suppose 3*d + 161 = -5*t, 4*d = 165 - 193. What is u(t)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 AM and 5:18 AM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -34387 + 49080. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -331 (b) -3\/2 (c) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 2*f - 22 = 0. Suppose f - 1 = -2*x. What is the biggest value in -2, x, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/142490 and 34\/8455?\nAnswer: 240950590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 32406 and 264?\nAnswer: 129624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 2 (b) 75 (c) 2\/7 (d) -0.05 (e) 1\/12 (f) -192.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8)\/14*((-105)\/(-14) - 7). What is the closest to o in -0.3, -3\/5, 11?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -f + 1. Let l be 16\/10*(-40)\/(-16). Let b be -2 + 1 - (-6)\/2. Solve b*r + 9 = l*y + 1, -f*r = -y - 4 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*j**2\/3 + 4688*j = 0. What is j?\nAnswer: 0, 3516","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 25 + -22. Solve -1 = w - m for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*q = -7*q + 35*q - 605 for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 PM and 4:00 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 621109 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 122 (base 7) in base 2?\nAnswer: 1000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101011110001110111000110 - 10100?\nAnswer: 1101011110001110110110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 274613 divided by 1.\nAnswer: 274613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15673?\nAnswer: 7, 2239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1509 is divided by 1498.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 310da (base 14) in base 8?\nAnswer: 346650","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(-1))**(-26)*(g**(2\/5)\/g)**24 assuming g is positive.\nAnswer: g**(-332\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 458383 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 21493 to the power of 1\/2, to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2 (b) -242 (c) 1\/4 (d) 4 (e) -222\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/18*(-1)\/4)\/((-90)\/(-720)).\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 299*s**3 - 889*s - 1838*s + 307*s**3 + s**2 - 607*s**3 to f*s**2 + n*s**3 + v*s + d and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1373672 is divided by 517.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 40755025?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 36*x**2 - 1752*x - 573. Let v(q) = -9*q**2 + 438*q + 143. Let b(w) = -4*s(w) - 15*v(w). Factor b(o).\nAnswer: -3*(o - 49)*(3*o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 z, and 2 j when four letters picked without replacement from zvjjxvvdxdxddv.\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 7644?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 74\/77, 166, -1, 0.4, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -63\/286 and 25\/104?\nAnswer: 1144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 28772*w**2 - 28771*w**2 - 239*w**3 - 9*w + 53*w**3 to the form f*w + r*w**3 + x*w**2 + p and give f.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*u = -16*u - 3150. List the prime factors of u.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-10)\/(-7)*(5 - -4 - 2). Solve -3*i = -i - h for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 4*u + 3 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*0.191513446\nAnswer: 0.0191513446","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -9*s + 136. Let l be i(12). Suppose -33*t - 271500000 = -l*t. Round t to the nearest one million.\nAnswer: -54000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 121*i**3*p**2 - 100*i**3 + 1380*i**2*p**2 + 342*i*p**2 - 46326*p wrt i?\nAnswer: 726*i*p**2 - 600*i + 2760*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 72a36 (base 11) to base 15\nAnswer: 217d3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + f - 4. Suppose -6 + f = -z. Let l(w) = w**3 - 4*w**2 + 2*w - 2. Determine l(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 775 divide 226300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 35676593?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 243 - 234. What is the greatest common divisor of q and 48?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 16 = 2*h, -h - d = 2*h - 4 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2\/6 - 74*n - 443\/6.\nAnswer: -(n + 1)*(n + 443)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.5 + -2.5. Let g = c - -2. Suppose 0 = -5*f + 4 + 21. Sort f, g, 3.\nAnswer: g, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 28*t + 4. Let n be x(-4). Let w be (n\/4 + 2)\/1. Let o = -13 - w. What is o rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a milligram in micrograms?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 7 = -3*c + 30, -2*c = j + 1. Let k(v) = v + 14. What is the units digit of k(j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*c**2 + 93*c**2 - 141*c**2.\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 23 + 10566\nAnswer: 10589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 11947179089 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 - -11. Let p = 14 - a. Is p a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.11, 0, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((26 + 35 - 85)*(1 + 2 - 2) + 4 - 3 - 2 + (-4 + 6 + 0)*(-1 - 3 + 3))*(t + 7*t - 4*t).\nAnswer: -108*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000193281839 rounded to 5 decimal places?\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 128315576*f + 289201827?\nAnswer: 128315576","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**4 + h**3 - h**3)*(5 - 14 - 8 - 2*h).\nAnswer: -4*h**5 - 34*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 6*w**3 - 218*w**2 + 132*w - 2157. Determine o(36).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1128016 * -15.\nAnswer: 16920240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 312803 - 168093. What is o rounded to the nearest 1000?\nAnswer: 145000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**2 - 216*t + 3591. Calculate y(19).\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/(((-42)\/4)\/(-1)). Let m = 0.06 - -0.94. What is the nearest to q in 0.6, 5, m?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c + 5. Let i be o(0). Suppose i*h - h + x = 45, 0 = -3*h + 3*x + 30. Calculate the remainder when h is divided by (3\/1)\/((-3)\/(-4)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1210162 and 6?\nAnswer: 3630486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.439 - -8.\nAnswer: 5.561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes after 3:58 PM?\nAnswer: 11:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (19\/(-646)*-17)\/(-1 - (-207)\/206). Solve 0 = -41*j + v*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -103626 + 1917?\nAnswer: -10180a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 - 0 - (126818 + 3). Let k(s) = -67825*s + 1. Let m be k(1). Let v = x - m. Round v to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 207303 (base 10) to base 5.\nAnswer: 23113203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 194 + -136. Let g = 178 - t. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 12.3 and -81470725.\nAnswer: -81470712.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5831743 to the power of 1\/5, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33768 divided by 5628.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 374688368?\nAnswer: 2, 23418023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 229, 465, 701, 937?\nAnswer: 1173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/20628 and 119\/378180?\nAnswer: 1134540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum 52146508.9 and -255.182.\nAnswer: 52146253.718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.32 * -28376.\nAnswer: -9080.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 15*d**2 + 76*d - 431. Calculate y(-9).\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-22*z + 25*z - 2*z**2 - 6 - 3)*(-929 - z - 28*z**2 + 929) as l*z**3 + o*z + k*z**2 + h*z**4 + w and give h.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*j*l**3 + 21*j + 14*l**5 - 2*l**2 wrt l.\nAnswer: -18*j + 840*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 + 3*b**2 + 203*b + 31. Give t(16).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 78 (base 11) to base 2.\nAnswer: 1010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -34 - -2. Let w = u + 39. What is the third biggest value in 0.1, w, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2.2 and 35511438724217.\nAnswer: 35511438724219.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3*(6\/66 + 114\/198). Suppose 3*l - y + 4 - 7 = 0, 3*l - 12 = 4*y. Solve l*f + 0 + 2\/11*f**3 + 2\/11*f**m = 0 for f.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*((-40)\/(-24))\/5*-9\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bte when three letters picked without replacement from {b: 1, t: 5, u: 1, e: 2, h: 1}?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 38183068, 38183070, 38183072, 38183074, 38183076, 38183078?\n\"Answer: 2*o + 38183066","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -67*n + 49*n + 23 - 41 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence odm when three letters picked without replacement from mobddooddmadmm?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 358588?\nAnswer: 2, 157, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1350*d + 4895*d**2 + 4894*d**2 - 9791*d**2 + (-4*d + 5*d + 0*d)*(1 - 1 + d).\nAnswer: -d**2 - 1350*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**2 - 2*p + 117. Give w(-14).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13614677 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 3*z + 4 + 2*z + z + 2*z + 0*z + 3*z - z + (-1 + 1 + 1)*(0 + 0 - z))*(-37*z**4 + 22028 - 19*z**4 - 22032).\nAnswer: -168*z**5 - 12*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-53 - (-32 + -12 + -2 + 34)).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2486 and 9175?\nAnswer: -22809050","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4881 + 28904. What are the prime factors of k?\nAnswer: 5, 29, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 29*v**2 - 6*v + 145. Let j be l(17). Suppose -5*k - 3*t + 55720 = j, 0 = 2*k - 5*t - 18937. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l - 16*l + 4*l + 11*l.\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 112349 to the nearest integer?\nAnswer: 335","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -25830 divided by 205?\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 620 - -0.17864.\nAnswer: 620.17864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(637)*-2*6 + 2*sqrt(637) + sqrt(637) + -2 + 4)*-4 + 3)**2.\nAnswer: -2520*sqrt(13) + 825577","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1*((-850)\/(-51) + -19)*9\/14\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 29*q. Let a(z) be the first derivative of z**4\/3 - 90*z - 86. Let b(h) be the first derivative of a(h). Calculate r(b(p)).\nAnswer: 116*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*i**3 + 52*i**2 - 2808*i - 3808.\nAnswer: 4*(i - 14)*(i + 17)*(3*i + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 - 4*n**2 - 2*n - 4. Let k be -2*(0 + -1)*-2. Give d(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1214*x - 41008 - 75816 - 3688 = -938*x for x.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 81 and 1517211?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 99*p**2 - 2 + 2.\nAnswer: 99*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f + 20*f**2 - 10\/3 - 35\/3*f**3.\nAnswer: -5*(f - 1)**2*(7*f + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -950, -1069, -1188, -1307, -1426?\n\"Answer: -119*h - 831","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1516120 a multiple of 290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*k**3 + 37170*k**2 - 5115177*k\/8 + 22038669\/8.\nAnswer: -(k - 4629)*(8*k - 69)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-176)\/(-48) + -3)\/((-26)\/12).\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*z + 5 - 5)*(21*z - 179*z - 84*z) as a*z**2 + l*z + i and give a.\nAnswer: 726","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -51*u**2. Let m(d) be the second derivative of -d**7\/1260 - 3*d**4\/2 + 69*d. Let x(i) be the third derivative of m(i). Determine x(p(h)).\nAnswer: -5202*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i**(-2\/83)*i*i)*i**(5\/9))\/(i**2)**(-19) assuming i is positive.\nAnswer: i**(28072\/747)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 43681 and 242.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*z = -102*z + 4392. Calculate the smallest common multiple of z and 427.\nAnswer: 854","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 73.30759 nanometers?\nAnswer: 0.000007330759","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24 + -18. Let t(q) be the second derivative of q**3\/3 - 4*q**2 + 1416*q. Determine t(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 917 is divided by 168?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -50 + 90. Suppose 43*b - f*b - 27 = 0. What is the highest common divisor of 45 and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 times -1468688?\nAnswer: 19092944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 8. Let g = 14 + 3. Suppose -f + r*j + 5 = 3*j, g = 3*f - 4*j. What is the greatest common factor of f and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xv when two letters picked without replacement from vvx?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 9168.\nAnswer: -1\/2292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 254 is divided by 85.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -14\/17 (b) 4 (c) -1\/7 (d) 0 (e) 40\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 9\/2 + (-7)\/14. Let v(n) = n**2 + 5*n + 5. Let q be v(-4). Which is the nearest to 0.1? (a) z (b) -0.1 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s + 5*j + 258, 0 = 12*s - 7*s + 2*j + 449. Sort 0, 1, s, 2 in increasing order.\nAnswer: s, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-120)\/(-22))\/(4108\/(-22594)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of j**7\/1260 - j**6\/180 + j**5\/90 + j**3\/2 - 3*j. Let x(v) be the second derivative of i(v). What is k in x(k) = 0?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(360)*1)\/sqrt(6))\/(sqrt(192)*6)*-3.\nAnswer: -sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 886609 is divided by 14759.\nAnswer: 1069","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 4 - 14. Suppose v*d = d. Suppose -2*l - 2*l + 8 = d. Calculate the lowest common multiple of l and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - -3. Suppose -f = -3*y + 2*y. Calculate the remainder when 18 is divided by 7 - (8\/4 + y).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5704, 9880, 14066, 18268, 22492, 26744, 31030, 35356?\nAnswer: 39728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 89*x**2 - 213*x - 93. Does 11 divide g(-17)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22 + -2110100221?\nAnswer: -2110100122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4573874 to the power of 1\/4, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 15114941?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 - -9. Let b(x) = x + 3*x + 5 - 7. Let j be b(f). What is the highest common divisor of j and 110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/61608 and 57\/544.\nAnswer: 246432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22753966.\nAnswer: 2, 43, 264581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6117*u - 5*b = 6118*u - 25, 2*u = 6*b - 46 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 15 = 5*a, p + 26 = a + 6*p. List the prime factors of ((0 - -13)\/(-1))\/(a\/(-3)).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -4104, -8503, -12972, -17547, -22264, -27159?\n\"Answer: -6*i**3 + i**2 - 4360*i + 261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 5*y**3 - 2*y + 4. Let g(s) = 6*s**3 - 2*s + 5. What is -5*f(d) + 4*g(d)?\nAnswer: -d**3 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand j**5 - 4*j**5 + 6*j**5 + 0*j**5 + j**5 - 2*j**5 + (j**3 - 4*j**3 + j**3)*(j**2 + 3*j**2 - 2*j**2).\nAnswer: -2*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1163700 at most 1163847?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 at most as big as 177\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 55\/(4 - (-56)\/(-24)). Let z be (15\/(-9))\/((-5)\/15). Put -5, s, z in increasing order.\nAnswer: -5, z, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/3 - 1 - 38\/(-6)) + 1. Solve 6 = -c*n - 15 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -671 = -719*h + 658*h for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 8*r - 5*r - 8, 2*f - 7*r = -24. Sort f, 1\/10, -0.05, -29 in decreasing order.\nAnswer: f, 1\/10, -0.05, -29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1274844853 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/2 or -210215278?\nAnswer: -210215278","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 83*z**2 + 8*z - 2. Suppose -9*n = 34*n + 215. Let g(s) = 84*s**2 + 10*s - 2. Let x(h) = n*l(h) + 4*g(h). Let v(u) = u**2. Calculate x(v(w)).\nAnswer: -79*w**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 295432177?\nAnswer: 47, 6285791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*(p\/p**(-3))\/p*p*p*p)*p\/p**(1\/4)*p**3\/p**(-1))**(-9) assuming p is positive.\nAnswer: p**(45\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 12*y**3 - 2*y**2 + y. Suppose -s - 10 = -1. What is the remainder when t(1) is divided by (7 + s)\/((-1)\/2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 + -2. Let t be 7\/(140\/823624)*30\/(-12)*-122. Suppose -t = q*a + 6639734. Round a to the nearest one million.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -2*o - 5*h - 3, 4*o - 5526*h + 5521*h = -25 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -8*g**2 + 4*g + 210. Let k(t) = -2*t**2 + t + 70. Calculate -2*h(v) + 7*k(v).\nAnswer: 2*v**2 - v + 70","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1683532 and 36?\nAnswer: 15151788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**2 - 939*z - 73710.\nAnswer: 3*(z - 378)*(z + 65)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/14*-1*14\/(-18)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*z**6 + 44*z**2 + z**6 - 3*z**6 + 2*z**6 wrt z?\nAnswer: -960*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/62 and 25\/837.\nAnswer: 1674","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 49872 != 49874?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 26 = -y, -5*i = -8*i - 9. Let s = 80 + -47. What is the common denominator of s and (-1154)\/(-300) + y\/12?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzzz when four letters picked without replacement from {z: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -0.3 (c) -0.1 (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 88\/(-66)*6\/28 - (-270)\/63. What is the highest common factor of 16 and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*f**2 + 4332*f - 4332*f - 5*f**2 + 5*f**2 + f**2.\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 843379?\nAnswer: 843379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 AM and 2:35 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22802 + -22784.777. Let y = 95.3 + -78. Let q = y - m. What is q rounded to 2 dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/3*-2 + (-8)\/(-3). Let m be 5 + -13 + 2 + a\/(-1). Let p be (21\/4)\/(-7) - 4966\/m. Round p to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 2*s**2 - 97*s + 1164. Let p be c(27). Let n(o) be the second derivative of -7\/6*o**p - 16*o + 0*o**2 + 0. Let l(y) = 2*y**2. What is n(l(j))?\nAnswer: -14*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 33*f + 837. Determine a(-26).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 409*f**2 + 4093*f - 22. Calculate g(-10).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, q: 4, x: 6, l: 3, g: 2}. What is prob of sequence xgx?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m. Let w = -390 + 394. Let b(n) = -n**2 - 4*n. Determine w*q(f) - b(f).\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*t**4 + 22568*t**3 + 203246*t**2 + 316252*t - 542064 = 0. Calculate t.\nAnswer: -6, -4, 1, 11293","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 - 4. Suppose 161 - 9 = 4*u. Let y = b + u. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_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 product of -23 and 726?\nAnswer: -16698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -41*0.069\nAnswer: -2.829","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 584380 to the power of 1\/3, to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4, i: 3, r: 2, w: 2, k: 3, c: 2}. What is prob of sequence cwkw?\nAnswer: 1\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -2*v - 3*p, -2*v - 4*p + 5 = -v. Let a = v - 22. Let l = a - -25. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 26, 44, 11 in descending order.\nAnswer: 44, 26, 13, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -34*34\/1156*-46?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of o**6\/8 - 7*o**5\/20 + o**4\/4 - 3*o**2. Factor c(q).\nAnswer: 3*q*(q - 1)*(5*q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + -3 - -11) + 1 + -19.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 148 divide 16392?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13395 by 705.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 11 + 20 - 11 - 2*a**2 + 15*a**2 + 26*a - 17*a + 2*a**3. Let s be y(-6). Solve -s*c - 8 = 2*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*(-7)\/(-3) + 3)*3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/((g*g**4)\/g))\/g**(-3\/8))\/((g*g**(2\/15))\/(g\/g**(-7)*g*g)) assuming g is positive.\nAnswer: g**(749\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gggggclgggglgggl. What is prob of picking 3 g and 1 l?\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -426 - -435. Let y = 12.68 - -0.32. Which is smaller: y or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 + 21 - 2) + (88 - 86)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3290 - -3240.508. What is d rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1947\/5 != -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5 and 12177.\nAnswer: 60885","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, w: 4, i: 7, f: 1}. Give prob of picking 2 i.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -4*o**2 - 203*o - 158. Does 34 divide z(-45)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.017 * -4569.\nAnswer: 77.673","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 6 + 2 - j + 2*j**2 + 2 - 9. Let r(f) = -4*f**2 + 2*f - 1. Suppose -7*l = -3*l + 2*u - 10, 5*l - 40 = 3*u. Give l*i(k) + 3*r(k).\nAnswer: -2*k**2 + k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2485 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*o**3 + 0*o**3 + o**3 + 2340 + 1930 - 4274.\nAnswer: -5*o**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - (-2 + 7)) + 5\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -2*l + 6. Let g be z(5). Let r be 0\/(g\/4 - -2). Suppose 3*n - 5*a = 3, 2*n - 5*a - 2 = -0*a. Which is greater: n or r?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12437051 (base 8) to base 10.\nAnswer: 2768425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 98505515 to the power of 1\/2, to the nearest integer?\nAnswer: 9925","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 2\/1) + 289\/119?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13.7 - -13. Let m = b - -0.3. Let t = m + 0.4. Sort -2\/7, t, 2\/5 in ascending order.\nAnswer: -2\/7, t, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2047 - 25 - 11 - -23?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 276137\/27 - 10226. Calculate the common denominator of z and -94\/273.\nAnswer: 2457","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 16) to base 12\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(1*(1 + sqrt(500)) + 0 - (3*1*sqrt(500) - (4 + 2*sqrt(500)))**2).\nAnswer: -1030 + 180*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -104663, -104966, -105475, -106190?\nAnswer: -107111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 + 5*i**2 - 12*i + 16. Let d be a(-7). Let l be (-2)\/(-2) - 2\/(-1). Solve -l*u + 4*m - 17 = 0, 6 = -d*u + 3*u + m for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.0194 or -54\/11?\nAnswer: 0.0194","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 275771801 by -6.\nAnswer: -275771801\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and -9953.\nAnswer: -19906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4 - (-2 - (-9)\/(-6)). What is the nearest to -0.1 in z, -4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 420.4 - 420.2. Put -2, i, 1, -0.02 in decreasing order.\nAnswer: 1, i, -0.02, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (3 - (4 + 1) - -7) + -13.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 12, 10972, 0, -5, -2 in descending order.\nAnswer: 10972, 12, 3, 0, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + 0.9. Let m = 0 + b. Let n = m + -0.4. What is the closest to -0.1 in 1, 0.1, n?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m - 1. Let t(l) be the third derivative of l**4\/24 + 4*l**3\/3 - 2*l**2. Let g be t(-12). What is k(g)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -15*l + 1. What is k(1)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 373589 and 0.5?\nAnswer: 186794.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 126772, 126774, 126776?\n\"Answer: 2*m + 126770","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17 (base 15) to base 7.\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and -0.6206.\nAnswer: 0.6206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1652.8 + 1654.8. Sort 0.2, b, -511 in ascending order.\nAnswer: -511, 0.2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 388 - 136. Suppose h = 5*q + 3*g, -5*g = -q - 39 + 95. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the third derivative of a**6\/1020 - a**5\/85 - 31*a**4\/204 + 12*a**3\/17 - 54*a**2 - 3*a. Factor r(u).\nAnswer: 2*(u - 9)*(u - 1)*(u + 4)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1989202 a multiple of 433?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = y - 5*n, 5*n - 16 = -4*y + 29. Let b(u) = -y + 7 - 6*u + 8. Let v(p) = -5*p. Calculate v(b(r)).\nAnswer: 30*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -4*q + 39. Suppose -3*h + 17 = 4*u, -25 = -u - 3*u + 5*h. Suppose u*c - 1 = 4*m - 11, 10 = 5*c. What is the remainder when q is divided by m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 2 - 4*y + 1 + 5 - 5. Let m(r) = -3*r + 2. What is 2*h(i) - 3*m(i)?\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -8*n - 39. Determine i(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 3 x when four letters picked without replacement from {t: 7, x: 3}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 50 and 1022075?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -53, 2, -66, -1, 35, 3 in ascending order.\nAnswer: -66, -53, -1, 2, 3, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -116 - 110 - 37*p + 328 - 106 as b + m*p and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3854.\nAnswer: 2, 41, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**2 + 9012*u + 6768012.\nAnswer: 3*(u + 1502)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 105110.339873 - 105112. Let n = s - -1.66. What is n rounded to 4 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -175959 + 175755 = -17*l for l.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*d**3 - 5*d**3 + 3*d**3 + ((1 - 1 + 2)*(-1 + 2 - 2) - 4 + 2 + 1 - 6 + 6 + 4)*(118*d + 17*d**2 - 118*d)*(-2*d + 2*d + d).\nAnswer: 19*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express m + 28*m**3 - 9*m**4 - 11*m**2 - 2*m**4 - 2 + 17*m**2 - 19*m**3 as s*m**4 + z*m + i*m**3 + q + a*m**2 and give s.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3652?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 + -5. Let a be (x + 2 + -15)\/(-2). Let m be 2\/a + 10\/6. Solve -6 = m*u - 2 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 18\/7 (b) -0.1 (c) -0.2 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 22116 + -1?\nAnswer: 22115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 6*c - 14. Let q be f(6). Suppose -2*l + 6*l - q = -w, -w + 2*l + 34 = 0. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*x**3 - 158 + 147 + 30*x - 29*x - 30*x**4 + x**2 - 3*x**3 to the form y*x**3 + v + d*x + c*x**2 + a*x**4 and give v.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 PM and 12:13 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1071006401?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1535 divided by -307?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.0982 and -14767863.\nAnswer: -14767863.0982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * -483.181.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 138 and 9858237.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -278 - -274. Which is the second smallest value? (a) -1 (b) -23 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1 (b) -1\/3 (c) -69 (d) 1\/16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s + 4. Let c be x(0). Let v(j) = -20*j + 1. Let a(m) = 19*m. Let o(n) = 4*a(n) + 3*v(n). Is o(c) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5\/3 (b) 65\/2 (c) 5 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 228 - 222. What are the prime factors of (-186)\/(-217)*7196\/r?\nAnswer: 2, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 5*v = -15. Find the second derivative of 3*y**5 - y + 4*y + 0*y - y**v wrt y.\nAnswer: 40*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bqbb. Give prob of sequence qb.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1113*t + 20 = -1108*t + 4*i, -5*i = 4*t - 7 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2. Suppose -2*y = -3*y - 2*m - 3, -y + 15 = -4*m. Suppose y*n + n = 8. Let k(o) = 4*o - 18*o**n - 4*o. Determine k(p(l)).\nAnswer: -18*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 678 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 30878968 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.2 - -0.2. Let o = 53 - 67. Let c be ((-60)\/o + (-4)\/14)\/(-1). Sort q, c, 2\/3 in increasing order.\nAnswer: c, q, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -171 (base 9) in base 16?\nAnswer: -91","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 111530 divided by 76.\nAnswer: 2935\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 + 5*h**2 + 4*h. Let g(q) = -q**3 + 5*q**2 + 9*q - 8. Let s be g(6). Suppose -3*c - 2 = s. Give x(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, p: 11, v: 7}. Give prob of sequence tpv.\nAnswer: 77\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1154626 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -7*a + 13860. Is a a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.73 + -0.03. Let z = -0.5 + r. Let a = z + -3.2. What is the biggest value in 0.4, 0, a?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(288) - (-5 + sqrt(288) + 1)) + 2 + (sqrt(288)*2 - sqrt(288) - sqrt(288) - sqrt(288)))*2 + ((sqrt(288) + -1)*5 - 2*sqrt(288)*6)*-5 + 2)**2.\nAnswer: 30888*sqrt(2) + 315153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyyy when four letters picked without replacement from {y: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-542)\/5149 - 106\/76?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2218 divide 47647076?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 0.5 (c) 11\/3 (d) 0.057 (e) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 97329772 to the power of 1\/3, to the nearest integer?\nAnswer: 460","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 + 5*x**2 - x - 11. Let a(g) = 2*g**3 + 9*g**2 - 2*g - 19. Let m(r) = 4*a(r) - 9*u(r). What is the tens digit of m(-12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 + 23*n**2 + 10*n - 28. Suppose -243 = -4*w + 101. Suppose -4*k + 6 = -w. What is the tens digit of r(k)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -47, 5, -2, 4, -1 in increasing order.\nAnswer: -47, -2, -1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11 - 4 + 1 - m + 7 to f + v*m and give f.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 366 = 1584. Let o = 1618 - t. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(96)\/(sqrt(96) + sqrt(6)))\/((sqrt(64)*2 + sqrt(64))\/sqrt(8)).\nAnswer: sqrt(2)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x - 6*x = 94. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 36*a - 1. Suppose -4*r - q + 5 + 4 = 0, 0 = 5*q + 15. Suppose r = 3*b - 3. Is i(b) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000010 + -10?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 7*g - 24. Let k(r) be the first derivative of 0*r**2 + 0*r - g + 1\/3*r**3. Let w(l) = 5*l**2. Calculate k(w(z)).\nAnswer: 25*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6111?\nAnswer: 3, 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 33*k + 12. Let x be l(10). Let f = x + -5126\/15. Is 0 >= f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 456 and 29988.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52150.\nAnswer: 2, 5, 7, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -9\/5, 408, -0.1, 2, 1\/3 in descending order.\nAnswer: 408, 2, 1\/3, -0.1, -9\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 - 2\/(-6)*(-37)\/(370\/(-180)). Solve -t*o = v + 11, o - 2*v - 3*v + 8 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 30*11\/((-440)\/(-24)). Calculate the greatest common factor of u and 2259.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -2*a**3 + 2*a**2 + 35*a - 38. Give v(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 52\/14 + (-4)\/(-14). Suppose -f + z = -0. Let h = -45 - -47. Solve n = -h + f for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2057?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -6*c**2 - 801*c - 1966. Calculate x(-131).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 10 = -4*a. Suppose 0*k - 20 = -5*k - a*r, 2*k - 2*r + 10 = 0. Let j = 37 + k. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 14*t + 27. Let s be m(-3). Let u(q) = q**2 - 9*q - 12. Let o be u(s). Suppose -3*p = -4*c - 0*c + o, 2*p + 176 = 2*c. Is c a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 26 = 5*u - 9, 5*u + 85 = -3*x. Let c(f) = f - 4. What is the common denominator of -32\/3 and c(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.4 and 0.746?\nAnswer: 1.0444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1737144?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 5*a = -25, 3*l = 2*l - 3*a + 15. Suppose -5*h + 4*b + 88 = l, -3*h + 0*b = b - 63. What is the remainder when 79 is divided by h?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 5*t - 53. Is 9 a factor of z(16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -131841 - -131846. Let b = -3 + 3.5. Let z = 5.3 + -5. What is the nearest to -3\/19 in w, z, b?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 + 14. Let i(s) = -11 + s**3 - 4*s - 2*s**3 + 9*s**2 - s. What is the units digit of i(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 1039 = -2*l - 5183, 0 = 3*l + 6. Suppose -2*c = -2*x - c + 539, 5*x + 4*c - v = 0. Is x a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n*n**(-2\/3)*n*n**0)**40)**44 assuming n is positive.\nAnswer: n**(12320\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3687?\nAnswer: 3, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 15*d**4 + 95*d**3 + 75*d**2 - 135*d - 50 = 0.\nAnswer: -5, -2, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-66)\/(-22) + 1 + (-16)\/5. Which is the third smallest value? (a) -0.33 (b) -1\/5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 2*w**2 + 7*w - 9. Let n be a(4). Suppose 2351 = 4*l + 3*d, -2*l + 1127 = 4*d - n. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by 23.\nAnswer: 7\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 108 + -56. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2\/5, 2\/41, 5, 54, -0.6 in decreasing order.\nAnswer: 54, 5, 4, 2\/41, -2\/5, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -136, 137, -7, 1 in decreasing order.\nAnswer: 137, 5, 1, -7, -136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 901 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + 3. Suppose -3 = -4*m + 3*f - 1, -5*m + 3*f + x = 0. Suppose 2*z = -3*j + 20, m*z + 6 = -z. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -68\/3 + 22. Sort i, 1, 0.5, -2\/9 in descending order.\nAnswer: 1, 0.5, -2\/9, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -159 - 3*m**2 + 79 + 80.\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6 and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - 0. Let x be -161 + (z - -5 - 2). Let y be x\/(-35) + (-3)\/(-7). Solve -5 = -y*b, 5*t = t - 3*b + 3 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000652371 rounded to five dps?\nAnswer: 0.00065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*o**4 + 712215*o**3 + 35597985*o**2 - 37734655*o - 72620430 = 0. What is o?\nAnswer: -142393, -51, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -53, -91, -127, -161, -193?\nAnswer: -223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (2 + -3 - (-1 + -8 + 6)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3*10\/(-210)*(-6)\/(-3)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1 (b) 1.2 (c) 22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w + 11. Let y = -9 - -3. What is the remainder when c(y) is divided by 2\/(-1)*(3 - 4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2. Let b(l) = 18*l**2. Give i(b(v)).\nAnswer: -324*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 11 - 7 = 2*q, -3*q - 7 = 2*k. Let r be q + (5 + -3 - 2). What is w in 4*w**2 - 6*w**2 + 4*w + r - 2 - 1 = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 p when two letters picked without replacement from tpqeylty?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -4*b**2 + 2*b + 5. What is r(3)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-20 - -5) + 16 - 10\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 8*v + 19. Let c be x(-10). Let w = 248 - c. Is w a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22\/659, 0.37, 4, -2\/9 in decreasing order.\nAnswer: 4, 0.37, 22\/659, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 17*w**2 + 9. Let f(m) = 4*m**2 + 2. Let s(y) = 9*f(y) - 2*v(y). Let u(h) = -8*h**2 + 3*h**2 + 2*h - 2*h. Calculate u(s(j)).\nAnswer: -20*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1154 + 8?\nAnswer: -1147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4 - 55\/(-15))*-213?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -24 - 19 - 2*c + 46 + (-4 + 1 - 1)*(-172*c - 11698 + 11698).\nAnswer: 686*c + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -102 - -101.99999907. What is k rounded to seven decimal places?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -255*b - 5*b**4 + 11570*b**3 - 15*b + 360*b**2 - 675 - 11620*b**3.\nAnswer: -5*(b - 3)**2*(b + 1)*(b + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 3*q + 80. Let n = 301 - 280. Suppose 5 - n = -p. Calculate the greatest common divisor of p and q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 95 and 3629.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*s - 14*s - 4*v = -16, 2*s = 5*v - 20. Which is smaller: s or -2\/359?\nAnswer: -2\/359","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the third derivative of 0*l**3 - 8*l**2 + 0*l**4 + 1\/570*l**5 + 0*l + 0. Determine j, given that f(j) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -44*n + 31*n. Suppose -5*p = 3*h - 0*h, -n*h = 2*p - 4. Solve -h*j = -s - 0 - 4, 3*j = -s + 4 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(-48)*((-264)\/990)\/((-8)\/(-1720)).\nAnswer: -43\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/(2*1) + 9530. Suppose -6*j - 5*c - 35 = -8*j, 4*j = -4*c. Suppose 0*h + h - p = 1896, -5*p = j*h - r. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2598*l**2 - 14 + 2600*l**2 - 16*l**3 - 5188*l**2 as j*l**2 + a + i*l + h*l**3 and give j.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -4*s - 36, -4*b + 5*s = 4*s + 63. Let q be 2 + 55\/(-35) - b\/(-21). Sort q, 11, -0.1.\nAnswer: q, -0.1, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jxh when three letters picked without replacement from uxfmhjuxjuhxhfxhj.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 780 or 778?\nAnswer: 778","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(931)*4)**2 - ((2*sqrt(152))\/sqrt(8))**2 - (4 + sqrt(1539)*1 + sqrt(209)\/(1*sqrt(11)))**2.\nAnswer: -80*sqrt(19) + 12904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 524 + -979. Let b = z - -454.779. Round b to two dps.\nAnswer: -0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7359297 divided by 11.\nAnswer: -669027","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 1170 - 5202 = 0. Calculate the greatest common factor of 16 and y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 11*r**2 + 58*r + 17. List the prime factors of w(-8).\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16 - -18. Find the third derivative of 3*t**2 + 8*t**4 + 0*t**v - t**4 wrt t.\nAnswer: 168*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2997 and 51399?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*y - 8, 6*z - 2*z + 3*y = -10 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 73*h + 4. Let b(a) = -a - 1. Let v(w) = 3*b(w) + m(w). Let x be v(1). Suppose -5*z + 9 = -x. What is the smallest common multiple of 4 and z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*q**2 - 16*q**2 + 7*q - 11*q**2 - 6 - 5*q + 16*q**2.\nAnswer: 25*q**2 + 2*q - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 7 + 6*z - 5*z - 2*z. What is the units digit of b(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 + 3*r**2 - 3*r + 4. Let v be k(-3). Suppose -v*i = -10*i + 54. Does 16 divide (i\/(-8) - 0)\/((-6)\/(-128))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i + 0*i + 0*i)*(-8 + 4*i**2 + 8).\nAnswer: -4*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*p - 1 = -37*p, 2*p = -5*o + 17. Let n(g) = g**3 + 14*g**2 - 2*g + 2. Let x(d) = -d**3 - 27*d**2 + 4*d - 3. Give o*x(b) + 5*n(b).\nAnswer: 2*b**3 - 11*b**2 + 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -147*s**6 + s**4 + 2*s**2 + 75?\nAnswer: -17640*s**3 + 24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.04 + 0.04. Let z = 0.2 - d. Sort -1, z, 4\/5 in increasing order.\nAnswer: -1, z, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 68 - 24. Let z = -29 + p. Calculate the highest common divisor of z and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -44 - -20. Let h = y + 24.008. Round h to three decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (3\/(-48))\/(10 + (-4864)\/488) and 31\/48?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 20550, 20554, 20664, 20934, 21418?\n\"Answer: 9*i**3 - i**2 - 56*i + 20598","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(((-48)\/(-20))\/(-2))\/(3\/(-20))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -7298094 + -19?\nAnswer: -7298102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/(-2) + 2)\/((-2)\/44). Let h be (22\/z - (-2)\/7)\/3. Solve -3*p - 3 = 0, h*p = -2*t + 2*p + 2 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 631278, 1262657, 1894032, 2525397, 3156746, 3788073, 4419372?\n\"Answer: -s**3 + 4*s**2 + 631374*s - 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4282 is divided by 1247.\nAnswer: 541","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 PM and 3:52 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of 2*x - x**2 + 3\/4*x**4 - 5 + 2\/3*x**3. Let i(n) = -20*n**3 - 15*n**2 + 15*n - 15. Determine 2*i(q) + 15*l(q).\nAnswer: 5*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2165196 by 1551.\nAnswer: 1396","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11 - 38 + 6*o**3 - 3 - 10 - 5*o**3 to the form r + h*o**3 + q*o + l*o**2 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a kilometer in meters?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 479700 a multiple of 225?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -670571 divided by -111.\nAnswer: 670571\/111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.08*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2250, 1702, -3.\nAnswer: -3, 1702, 2250","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -10*u + 3. Let c be s(-6). Is ((-2)\/(-3))\/(3\/c) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -4*y - 20. Let o(h) = -4*h - 26. Let u be o(-4). Let q be t(u). Let j = q - 23. Which is the second biggest value? (a) 2\/13 (b) 0 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.3 (b) 4\/3 (c) -1\/6 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 74402 to the nearest integer?\nAnswer: 273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the second derivative of -29*q**8\/56 - 2*q**4\/3 + 7*q. Find the third derivative of r(y) wrt y.\nAnswer: -3480*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 + 6. Let q = -659 - -659. What are the prime factors of f + (q - -4 - -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 18\/4 + 3\/(-6). Let f = -5 + p. What are the prime factors of f - -2 - (3 + -8)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 816*t. Let s(u) be the second derivative of -u**4\/6 + 14*u - 1. Give s(k(i)).\nAnswer: -1331712*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -d**2 + d**3 + d**2 + (d - 4*d + 5*d)*(-4*d**2 + 4*d**2 - 4*d**2) to the form t + y*d + h*d**2 + j*d**3 and give j.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1152 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1618519 a multiple of 469?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12, 113, 290, 549, 896, 1337?\nAnswer: 1878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -236*u + 314 = -217*u - 1016 for u.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 611\/7 - 87. Let n = -51 + 57.4. Let p = 7.4 - n. Which is the nearest to y? (a) 0.3 (b) p (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 33214440045 - 2?\nAnswer: 33214440043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of -c**4\/3 - c. Suppose -9*z = -11*z - 2. Let n(v) = -1. Let s(a) = -a**2 - 4. Let p(d) = z*s(d) + 4*n(d). What is p(y(g))?\nAnswer: 16*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20189 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*l - 5*c + 159 - 139, -10 = -2*l + 2*c for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/4 - (-20)\/80. What is the smallest value in g, -5, -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 - 4*m**2 + 2*m + 6. Let i be f(3). Suppose 10 - 5 = j, -i*p - 5*j = -1114. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -2 (b) 0.1 (c) -16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -582989291 + 582989661.0000297. Let z = -370 + g. What is z rounded to six decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 132 and 264.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-13)*v**17\/v*(((v**(3\/8)*v)\/v*v)\/v)**(-5\/8) assuming v is positive.\nAnswer: v**(177\/64)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 233 - 343. Let h = -190 - u. What is h rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31925*q + 2*q**2 + 31925*q.\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 304 and 874.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/6 of a century in months?\nAnswer: 1400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1383967579 to the nearest integer?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -69633035*x**3 - 20*x**2 - 66330*x + 14 wrt x.\nAnswer: -417798210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -70, 1, -5, -3 in decreasing order.\nAnswer: 6, 1, -3, -5, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8\/(-3) + 33 + 2291\/(-87). Solve -s - 6 = 28*v - 25*v, -4*s = x*v for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 - -26) + -3 - (25 + -1).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, x: 5, a: 5}. Give prob of picking 1 x and 1 a.\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 6*q - 198. Give t(38).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -20109 times 274?\nAnswer: -5509866","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -321*p**2 - 95*p**2 - 2004*p**3 - 576*p**2 + 132*p**2 wrt p?\nAnswer: -12024","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 2*u = -2*p + 112, -2*p - 2*u + 112 = 0. Let n be (-8)\/28 + 2\/p. What is the smallest value in n, -3, -1\/8?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + 5 - -14 - 1. Suppose 3*c = g*c - 375. Factor c*t + 3*t**2 + t**3 - 5*t - 18*t.\nAnswer: t*(t + 1)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1294732 divided by -4?\nAnswer: -323683","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*f - 15*z + 132 = -45*f + 5*z, -2*z = -2*f - 18 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.9 + 1. Let v = -43.7 - -50. Let j = 2.3 - v. Which is the biggest value? (a) 0.4 (b) j (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -33876da - -4?\nAnswer: -33876d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 50*c**3 - 21*c**2 + 42*c - 10. Is n(13) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 144909 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 15*q + 20*q - 423, 5*y + 5*q = 2095. What is the greatest common factor of 38 and y?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 1190 = -n - 527, 0 = 4*j - 2*n - 2290. List the prime factors of j.\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.8 less than 1691.7?\nAnswer: 1689.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*v - 2*v + 7*v)*(3*v - v + 3*v) + 0*v**2 + 2*v**2 - v**2)*(3*v**2 + v**2 - 3*v**2) + (0 + 0 - 2*v**4)*(0 + 1 - 3).\nAnswer: 20*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2187, 8851, 19995, 35625, 55747, 80367, 109491, 143125?\n\"Answer: a**3 + 2234*a**2 - 45*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 21*y**2 - 227*y - 11. Is c(-29) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*q**3 + 4*q**3 - 3*q - 5*q + q**3 wrt q?\nAnswer: 18*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 26 = -2*b, 0 = -b - 142 + 139 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 107977513 to the nearest integer?\nAnswer: 476","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 784863973\/155816 + 87\/19477. Let a = -5046 + n. Find the common denominator of a and 7.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - 10?\nAnswer: -a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -89 + 93. Let j be 3203\/p - ((-162)\/(-24) + -6). Calculate the remainder when (-1)\/3 - j\/(-6) is divided by 46.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 3129957, 6260108, 9390259, 12520410?\n\"Answer: 3130151*i - 194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 - 7*s - 5. Calculate j(4).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:17 AM and 9:21 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 98, 328, 752, 1376, 2206, 3248, 4508, 5992?\nAnswer: 7706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1460 and 780?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -2*u**2 + 3*u - 11. Let o(s) = -s**2 + s - 4. Let w(x) = 3*h(x) - 8*o(x). Is w(5) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 AM and 11:51 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 16) in base 3?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 6*(sqrt(50))**2 + sqrt(10)\/(sqrt(5) - (sqrt(5) - sqrt(10)\/sqrt(2))) + -3.\nAnswer: sqrt(2) + 297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11.79 - 9. Let z = x + 0.21. Which is greater: z or 0.1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5527 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -3 + -3 + sqrt(4050) + -1.\nAnswer: -4 + 45*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 67470.95 years?\nAnswer: 6747.095","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.18 - 15.82. Let d = u + 16.9. Is -1 > d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 + 1922?\nAnswer: 1922.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -149*s - 4195 = 3702 for s.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 + 7. Let y be (0 - 66)*(-1)\/z. Let c = y - 12. Is 8 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1053) - 1*sqrt(1053) - sqrt(1053)) + 0 + -4.\nAnswer: -9*sqrt(13) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -798 divided by -96841\nAnswer: 798\/96841","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) 628.4 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4 + -9)*(13\/(-5) + 2). Solve 9*j - 7*j + r = -1, 2*j + 5 = d*r for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 - y**2 - 249*y + 81. Let b be l(0). Solve -306 = -30*n + b*n for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -p**5 + 397*p**4 + 3*p**3 + 2*p**2 - 158*p + 1.\nAnswer: -60*p**2 + 9528*p + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -102.147 + 102. Let o = -1.853 + r. Let f = 75\/7 - 11. What is the nearest to f in o, 3, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.03 + 0.03. Let l = o - -0.94. Let u(r) = 2*r**2 + r - 2. Let d be u(-2). Which is the nearest to -3? (a) l (b) d (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99*i + 91*i + 24 = 0. Suppose 2*n - 23 = 3*n - l, 5*l = -i*n - 45. Do n and -182\/9 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + p**2 + 2*p**2 - 7*p**2 - 2 + (-p - p + 3*p)*(-75 + 75 - 160*p).\nAnswer: -164*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -840148*j**2 + 2. Let w(g) = -6*g. What is w(t(c))?\nAnswer: 5040888*c**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5123 + -2070. What is the highest common divisor of k and 213?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86 is divided by ((-360)\/(-6))\/2 + -7.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -79\/7 + 11. Suppose -4*n + 0 = -8. Let l = 30 - 31. Which is the closest to l? (a) n (b) 2\/7 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 times -0.4035?\nAnswer: -30.666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 13\/2 - 1\/2. Suppose u*b + 3*k - 15 = b, -2*b - 5*k + 6 = 0. Suppose -b*m - 77 = -5*n, 3*n - m - 55 = 3*m. What are the prime factors of n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9\/22 - -10\/11. Let z be 1\/2 - 3\/30. Let n = 222751 + -222748. Put s, z, 1, n in descending order.\nAnswer: n, 1, s, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 - (15\/(-45) + (-898)\/(-3)). Let v = -160 - c. Which is bigger: 137 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -16*y**3 - 21*y**2 + 14*y - 3. Let r be x(-22). Let n = -250704 + r. Let o = n - -150811. Round o to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66335 + 0.1.\nAnswer: 66335.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*r**3*x**3 + 3*r**3*x**2 - 6*r**3 + 2*r**2*x**4 - 2*x**4 wrt x.\nAnswer: 30*r**3 + 48*r**2*x - 48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.21 - -2.21. Are 1.3 and n non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(15)\/sqrt(5)*5 + -4) + -4 + -2.\nAnswer: -5*sqrt(3) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -448, -1755, -3920, -6943, -10824, -15563, -21160?\n\"Answer: -429*o**2 - 20*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**2 + 4*a. Let z be f(4). Let r = 5 + z. Calculate the highest common divisor of 2 and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + 6288?\nAnswer: 6286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 + 3*a**2 - 3 + (4*a - 3*a + 4*a)*(-2*a - 2 + 2) - a**2 - 3*a**2 + 3*a**2.\nAnswer: -8*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, e: 1, m: 7, l: 2, j: 8}. What is prob of picking 1 l, 1 j, and 1 m?\nAnswer: 28\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s + 14. Let g be u(13). Suppose -4*f + 25 = -x, -2*f + 14 = -x - g. Suppose 0*q - f*q = -200. Calculate the highest common divisor of 100 and q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*d - 973 + 0 = -398 for d.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 - f**2 + f. Let g(b) = -9*b**3 + 6*b**2 - 7*b + 2. Suppose -4 = 2*t + 2*d, -4*d - 7 = t + 2*t. Calculate t*g(u) - 6*l(u).\nAnswer: 3*u**3 + u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 - 6*r - 4. Let o be s(6). Let p = o - -6. List the prime factors of (1 - p)*-2 + 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from arnibzaianaiiaii. What is prob of sequence niab?\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the third derivative of r**8\/6720 - 37*r**5\/30 + 4*r**2 - r. Let l(t) be the third derivative of p(t). Let j(f) = 105*f**2. Determine l(j(h)).\nAnswer: 33075*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(-7))\/i)**(1\/13) assuming i is positive.\nAnswer: i**(7\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s. Let i(x) = -275*x. Determine i(y(k)).\nAnswer: -275*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, r: 5, d: 9, j: 1, w: 1}. What is prob of sequence wjb?\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/(1*(-6)\/((-144)\/6)*6)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -121600 to the nearest 10000.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:06 AM and 6:23 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-2\/7))**(1\/67)*((a**5\/a)\/a)\/(a\/(a*a*a**(1\/5))) assuming a is positive.\nAnswer: a**(9874\/2345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -10 + 1e?\nAnswer: e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of 4*a**3 - 2 - 11\/4*a**4 + 7*a**2 - 10*a. Let l(g) = -4*g**3 + 4*g**2 + 5*g - 3. Let v(x) = 8*l(x) - 3*r(x). What is v(4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 18 = -j, 0 = -j - 14 + 7 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 7\/4 of a centimeter?\nAnswer: 17500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*q - 938 = 6*q + 810 - 490 for q.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -141*y - 14558 = -757*y + 365*y for y.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 112*w**2 + 112*w**2 - 3*w - 223*w**2 - 9*w.\nAnswer: w**2 - 12*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -130 (base 7) to base 12\nAnswer: -5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-1 + -9)*4\/(-10) and 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.72365 times 0.23\nAnswer: -0.8564395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.1 - -2.2. Let v = 111.73 - 73.73. Which is the biggest value? (a) h (b) v (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -204 - 1043020102?\nAnswer: -1043020311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -21097 times 164?\nAnswer: -3459908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffcc when four letters picked without replacement from {f: 15, c: 4}.\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*-2.2.\nAnswer: -0.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(605) + 0 + sqrt(605)*1)*3 - ((2 + sqrt(605))*-5 + 1)) + 4)**2.\nAnswer: 38720*sqrt(5) + 1172880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 0, -3\/2, -0.3, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**1)**(29\/5)\/((f**(4\/7)\/f)\/(f\/f**(4\/9)*f)))\/((f\/((f\/f**(-7)*f)\/f))\/f*f**(5\/6))**(-24) assuming f is positive.\nAnswer: f**(-51728\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 1422 = 2*p - 6*p, -362 = p + 4*g. Let s = -349 - p. Solve 3*k - 5*l + 22 = 0, -s = k - 4*l + 7 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 2*t - 10. Suppose -2*i - 137 = -161. Let m be f(i). Solve -s - m = -5*w, 0 = 2*w - 5*s + 6*s for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/16*-2*(26 - 32364\/1247)\nAnswer: -1\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-6)*f)\/f**(-12) assuming f is positive.\nAnswer: f**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3472 is divided by 1315.\nAnswer: 842","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5715665538 to the power of 1\/2, to the nearest integer?\nAnswer: 75602","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/18833, -4\/3, -8\/151.\nAnswer: -4\/3, -8\/151, 2\/18833","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 336 a factor of 333312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of -3*g**2\/2 + 37*g + 1. Let y be r(6). Find the second derivative of -20*l**4 + 14*l - 35*l + 22*l + y*l wrt l.\nAnswer: -240*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 125442 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.110341 and 2?\nAnswer: 2.110341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -347*f + 234. What are the prime factors of q(-16)?\nAnswer: 2, 11, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y**4 + 5*y**4 - 4*y**4)*(-5*y + 2*y + y) - y**2 + y**2 - 2*y**5 - 10*y**5 - y**5 - y**5 + (2*y**2 - 2*y**2 - 3*y**4)*(y - 4*y + 2*y).\nAnswer: -7*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 7, 19, 53, 121, 235, 407?\n\"Answer: 2*h**3 - h**2 + h + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 - y**2 + y. Let r be z(1). Let h = 4.039 + -0.039. What is the second biggest value in r, h, -5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 6*o**3 + 7*o**2 - 7*o + 10. Let q(y) = -7*y**3 - 9*y**2 + 8*y - 12. Determine 6*a(g) + 5*q(g).\nAnswer: g**3 - 3*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -5*f - 29. What is the least common multiple of 3 and w(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*q + 3*q - 8*q - 2*q**2 + 3*q.\nAnswer: -2*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -242, -490, -740, -992, -1246, -1502?\n\"Answer: -d**2 - 245*d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 + 66\/12 + 0)*20?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1577 - -1611 - ((1 - 0) + 7).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36, -40, 4, 96, 236, 424?\nAnswer: 660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 4543 = -10*j. What are the prime factors of j?\nAnswer: 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (10\/8)\/((-5)\/20). Let q(d) = -d**2 - 8*d - 4. What is the least common multiple of 2 and q(j)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (55 - 46) + (-2 - (4 + -9))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6048 a multiple of 126?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -5*k + 2*k. Solve 0 = -6*s + k*s - 3 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 3*c + 3. Let s be f(3). Let i be (-5 - 1) + 10 + 1*-1. Let z(u) = 4*u - 10. Let d be z(i). Solve -d*q - q = -s for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 865604 is divided by 679?\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-524172.\nAnswer: -2620860","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1\/16732?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2170110*m*w + 13*w - 110127 wrt m.\nAnswer: -2170110*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (177*5\/15)\/1. Let y = d - 56. Let b(p) = p + 3. Let r(m) = 2*m + 3. Give y*b(g) - 2*r(g).\nAnswer: -g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1300) + (sqrt(1300) + -5 + -1 + sqrt(1300) - sqrt(1300)))*1)**2 + (sqrt(1300) + (sqrt(1300)*-2)**2 + 1 - (sqrt(1300) + 0)*-1).\nAnswer: -220*sqrt(13) + 10437","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -14.6029 and 5692786.\nAnswer: 5692771.3971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 + 12. Let s(g) = 2*g**2 + 10*g - 8. Let u be s(-5). Let t = u + 8. Let a be h(t). Solve 32 = 4*m + a for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*c**5 + 1025*c**4 - 6655*c**3 + 9315*c**2 - 2540*c - 1100 = 0 for c.\nAnswer: -2\/9, 1, 10, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 - 22*g**2 + 42*g - 17. Let d be i(20). Is d smaller than 25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 297729 is divided by 172?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5030 is divided by 219?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hx when two letters picked without replacement from {x: 1, k: 1, l: 1, s: 1, h: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6077 + 1622 - 1035 - 684 - 7009 - 2171)*(-2*z**4 + 4*z**4 - 4*z**4) to the form q + s*z**3 + t*z + v*z**4 + r*z**2 and give v.\nAnswer: 30708","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5186?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/14 - (-17480)\/1610.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -48.887 - -49. Round h to 2 decimal places.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*o**3 + 14 - 14 - 479399488*o - 38*o**3 + 479399488*o.\nAnswer: -29*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -205*p**2 - 6*p + 4. Let i(c) = c. Let o(n) = -5*i(n) - j(n). Is o(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 + 1. Suppose 0 = -3*f - r, -3*f - f = 4*d + 12. Solve t = k - 0 + 2, -d*t - 8 = 4*k for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times -0.1422569\nAnswer: -0.07112845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 40.9919 milligrams?\nAnswer: 40991.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1c35 (base 13) in base 11?\nAnswer: 3231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 34, 69, 104, 139?\n\"Answer: 35*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -47*m**2 + 3*m + 7*m + 48*m**2 + (-2 + 4 - 4)*(-m + 0*m + 0*m)*(0 + 0 - 3*m).\nAnswer: -5*m**2 + 10*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 31155815419 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(1088))*-4*-3)**2.\nAnswer: -2304*sqrt(17) + 156816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*r + 21*r - 35*r.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) -1\/5 (c) -4 (d) 4 (e) 4.2433 (f) -1\/2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*y**3 - 25*y**3 + 27*y**3.\nAnswer: -50*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -40765\/10142 + -12\/461. Let m = -2061 - -39097\/19. Let x = -161\/38 + m. Calculate the common denominator of r and x.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2359?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4887139 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2\/3 + 12*o - 37\/3.\nAnswer: (o - 1)*(o + 37)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**13)**(-28\/9)\/((n*n**(4\/13)\/n)\/(n\/(((n**(-36)*n)\/n)\/n))))**(-5) assuming n is positive.\nAnswer: n**(-14630\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(143)\/((sqrt(99) - sqrt(11))*4) + (sqrt(832)*-2 - sqrt(832))**2*-1) + -2.\nAnswer: -sqrt(13)\/2 + 29950","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -64, 2\/33, -2, 5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 86 - 86. Suppose -2*q + 39 - 33 = m. Suppose 3*t - 65 = -2*f, t - 96 = -3*f - 16. What is the remainder when f is divided by q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/21 in -5, 1\/2, 0, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 7, h: 1, g: 2, v: 2, u: 1, c: 1}. What is prob of sequence chvu?\nAnswer: 1\/12012","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 + 3 - ((-370)\/(-148) + (-3)\/(-8)). Which is the fourth biggest value? (a) 0.5 (b) q (c) -1\/19 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11099.747 times -3.6?\nAnswer: -39959.0892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 925.8784g to nanograms.\nAnswer: 925878400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*j - 22*j + 156 = 0. Let x be (-2)\/(-39)*-3 - (-4608)\/208. Suppose 114*d = 112*d + x. What is the remainder when j is divided by d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22572?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -cb - -12dca?\nAnswer: 12cdd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 43167*u**2 - 129489*u - 29. Determine z(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*z - 58*z**3 - 54*z**3 + 8*z to t*z**2 + d*z**3 + v*z + j and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from tttvtvtvvt?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.1 - -0.1. Suppose -5*n = -11 - 4. Let f be (4\/n)\/((-32)\/(-72)). What is the biggest value in f, 2, v?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -611557276 divided by 12188\nAnswer: -50177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z\/z**1*z)\/z)\/z)**(-2))**2\/((z**(-2\/5))**(-3\/2)\/(z*((z**(-1\/4)*z)\/z)\/z)**29) assuming z is positive.\nAnswer: z**(-77\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1627 (base 11) to base 6.\nAnswer: -13354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 8) to base 4.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 68? (a) -1.1 (b) -2 (c) 1\/6 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the third derivative of s**6\/660 - s**5\/165 + 2*s**2. Factor r(m).\nAnswer: 2*m**2*(m - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * 73\nAnswer: 21.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4 - (-4 - (-18)\/3). Suppose 3*b = 19 + j. Calculate the smallest common multiple of b and 24.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {u: 9, x: 2, o: 6, n: 1}?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dmssssmdhss. Give prob of picking 2 m.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 368, 335, 272, 173, 32?\nAnswer: -157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 172389 is divided by 1626.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 84.73827 litres in millilitres?\nAnswer: 84738.27","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 833*i + 4800. What is the remainder when w(-5) is divided by 180?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = 5*i + 33 - 29, -11 = -2*i - 5*y for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*q**2 + 23*q**2 + 2 + 86*q**3 + 17*q**3 + 112*q**3 - 3*q.\nAnswer: 215*q**3 + 33*q**2 - 3*q + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 346118?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 6*f**3 + 4*f**2 - f - 3. Let d(p) = 12*p**3 + 6*p**2 - 2*p - 5. Determine -5*a(r) + 3*d(r).\nAnswer: 6*r**3 - 2*r**2 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/11? (a) 1\/4 (b) 1.627 (c) -5 (d) -4 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123*o + 370*o = 316 + 177 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the first derivative of 3*q**4\/16 - 9*q**3\/2 - 63*q**2\/2 - 66*q + 202. Factor x(l).\nAnswer: 3*(l - 22)*(l + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2 - 2. Let a(l) be the first derivative of l**3\/3 + l**2\/2 - 3. Let u be a(1). Let x = u - 5. Give p(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26 + -88 + 55 - 39\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than 1\/486?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 3 + 2)*(-87*m - 236*m + 118*m) + (-4 + 6 - 3)*(4*m - m - m))*(-3*m - m + 5*m).\nAnswer: -412*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 - (-6)\/(480\/(-1460)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from lfffflofll.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 308.000003775 - 308. Round y to seven decimal places.\nAnswer: 0.0000038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7\/4 - 57\/28. Let h = 49 + -54. What is the third smallest value in x, 0, h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from ggeggggggggggggggggg?\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in -68\/5, 3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - ((-168 - 17) + 84).\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 212\/(-7) - (-136)\/476. Sort -1, 1, m in increasing order.\nAnswer: m, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 205536 is divided by 962.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3551 is divided by 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 107 - (159 - 73 - -61).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -50 (b) 0.1 (c) 2\/13 (d) -0.2 (e) -24.4 (f) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 28274?\nAnswer: 282740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and -9667249.\nAnswer: 29001747","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of t**3\/3 + 3*t**2 + t + 7. Let q = 4 + -8. Let i = q - 0. Calculate s(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2388 + 52551\/22. Let d = 3863131\/108 + -35770. Calculate the common denominator of i and d.\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 1976*h + 1971*h = -2*p - 35, 10*p = -4*h + 7*h + 26 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-n + n - 2*n)*(2*n + 0 + 0) - 3756*n - 3*n**2 + 3756*n - 1 to o + i*n + a*n**2 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -2*d - 22. Let a be z(-10). Is 11 a factor of 21\/42 + 129*(-1)\/a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7\/4 of a hour?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 87 divided by 29\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000110596 to 6 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, -4, 2\/9, 6830891 in decreasing order.\nAnswer: 6830891, 2\/3, 2\/9, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -343*q + 6*q + 1101*q - 340*q - 421*q.\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.016145 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -28a0 (base 14) to base 10\nAnswer: -7196","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 28\/31?\nAnswer: 28\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 2152?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -9*(4 + (-147)\/36). Which is the nearest to d? (a) -2\/3 (b) -1 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11.899 + 0.201. Let a = j + -12. Let p be 2\/(-7)*28\/(-20). Which is greater: p or a?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -1\/10 (b) 2\/23 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (171\/(-380))\/((-48)\/40)\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -2 + (-101 - (-12 + -19 - -2))?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 514 is divided by 31?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.3*1668.9.\nAnswer: -2169.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3*(-2)\/9)\/2. Let g be (1*(3 - 2))\/(-1). Is g less than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66*l**2 + 19*l**2 - 9*l**2.\nAnswer: -56*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from {w: 1, c: 2, n: 3, q: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*a + 2*i, -2*i + 6*i = 2*a - 10. Calculate the common denominator of -51\/5 and (a\/6)\/(4\/(-182)).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of -53*v**3\/6 + 3*v**2\/2 + 175*v. Calculate k(1).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 140015 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: Three letters picked without replacement from {q: 2, y: 3}. What is prob of picking 2 y and 1 q?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -427*t - 7161 + 14847 = 0 for t.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.8 - -0.6. Let u be 0 + (-7)\/((-98)\/(-100)). Let g = -864\/119 - u. Which is the biggest value? (a) g (b) 0.2 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 + 0 - (-7 + (7 - 1)). Let w = -1 - -3. Suppose 2*s + 15 = -w*s + p, -2*p + 3 = s. Is s at most h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -223 - -5135\/23. Let c = i - -11\/46. What is the second biggest value in -3, 0, c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*z**3 - 41*z**2 - 39*z**2 + 78*z**2 + 0*z**3 - 6*z as r + n*z**3 + d*z**2 + k*z and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 607 is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2330 + 2374 - (17 + (-3 - -2))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of f**4*o + 19817*f**4 - 59*f**2*o + 12*f*o + 24*o - 2 wrt f?\nAnswer: 24*f*o + 475608*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2 - 8*f - 5. Let h be w(-7). Let q(v) = -v. Let t be q(h). Is 16 a factor of (-12 + -4)*(1 + t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 322, 650, 1024, 1468, 2006, 2662, 3460?\n\"Answer: 4*b**3 - b**2 + 303*b + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-35)\/(-20))\/((-258)\/1376*(-14)\/3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: 0*-8819202\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 871?\nAnswer: 13, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 14623896 divided by 42?\nAnswer: 348188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 5*t = -155, -2*t = 4*k - 59 - 77. Let q = 29 - k. Let v(f) be the third derivative of f**4\/12 + f**3 + f**2. Determine v(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(28\/(-63)) - 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 7976592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -7348568 divided by -918571?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + g = 330 + 198, -3*g = 4*c - 699. Is 3 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + 395\/(-45)*-3 + (-37)\/(1110\/(-20)).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 347 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 107 = r - 544, r - 3*s - 679 = 0. Is 14 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 3*y = -3*v + 481, -4*v + 644 = 2*y. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 671?\nAnswer: 1\/671","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 31 and 18966792?\nAnswer: 18966792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by 68.\nAnswer: -7\/68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2221 (base 3) to base 13.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 226 + -115. Let j = s + -553\/5. Suppose -3*y - y + 16 = l, 12 = 3*y - l. Put -2\/3, y, j in descending order.\nAnswer: y, j, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/6581450 and -11\/732544.\nAnswer: 421212800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 8:40 AM?\nAnswer: 11:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 31370 + -42035717\/1340. Calculate the common denominator of p and 53\/2.\nAnswer: 1340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1294981 to the power of 1\/2, to the nearest integer?\nAnswer: 1138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8208372435 - 44895.\nAnswer: -8208417330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) -0.0004 (c) 2\/9 (d) -2 (e) 2\/27\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**3\/3 - 8010*p**2 + 1362928*p - 175181656\/3.\nAnswer: 2*(p - 11843)*(p - 86)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-7) - 850\/35. Let m be 2\/3 - (-10 + (-84)\/(-18)). Let w be (-1288)\/b + 8\/m. Calculate the greatest common divisor of w and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40324013 (base 5) in base 7?\nAnswer: 2515352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(65)\/sqrt(5)*4 + 3 + (sqrt(13) - (sqrt(13) + -1*sqrt(1300)) - (0 + sqrt(13) + 1 - sqrt(13)))))**2.\nAnswer: 56*sqrt(13) + 2552","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -239*g + 332 + 22798 + 53 for g.\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 105762*w**3 + 21368*w - 3 wrt w.\nAnswer: 634572*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 12378?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 14 or 3?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -60248535, -60248541, -60248547?\nAnswer: -60248553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from slggvvz. What is prob of picking 1 v and 1 g?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 2, -2903, 21, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49051*k + 48419*k - 98249*k.\nAnswer: -779*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -448*s - 694475 = -473*s. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 - h + 1. Let x(a) = -14*a - 10*a - 107 + 46 + 46 - 12*a**3 + 39. Determine 24*d(m) - x(m).\nAnswer: -12*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*t**2 - 32 + 7*t**2 - 2*t**2 to r + p*t + n*t**2 and give r.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 324066 to the power of 1\/5, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 126?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8457376*m**5 + 15*m**2 + m - 340247 wrt m.\nAnswer: -507442560*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -63*b**3\/2 - 6927*b**2 - 380490*b + 36300 = 0. What is b?\nAnswer: -110, 2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 54307 (base 13) to base 14\nAnswer: 3d60b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2217 + -11081\/5. Let 0 + f*t - 2\/5*t**2 = 0. Calculate t.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**27\/i)\/(i*i\/(i**(1\/48)\/i)))\/(i\/((i**(3\/11)*i)\/i)*i)**32 assuming i is positive.\nAnswer: i**(-17029\/528)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven sevenths of a week in minutes?\nAnswer: 15840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 0 + 1)*(b**3 - 6*b**3 + 2*b**3) - b**3 + b**3 - b**3.\nAnswer: 20*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 193630, 386460, 579290, 772120, 964950, 1157780?\nAnswer: 1350610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 - 4*q**2 - 5*q + 1. Let a = 28 + -20. Suppose 0 = -4*s + 4 + a. Calculate the remainder when s is divided by v(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2228436 and 466200?\nAnswer: 111421800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -540, -585, -660, -765, -900, -1065, -1260?\n\"Answer: -15*m**2 - 525","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*o**4 - 2*o**4 + 0*o**4 + (-3*o**3 - 3*o**3 + 4*o**3)*(-2 + 2 + o) + 0*o**4 - o**4 - o**4 - o**4 + 2*o**4 + 2*o**4 + (3*o - 3*o - 4*o**3)*(3*o - 1 + 1).\nAnswer: -15*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence suus when four letters picked without replacement from {f: 2, s: 10, q: 1, u: 4}.\nAnswer: 9\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51 + -3.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 7*p**2 + 440*p - 63 = 0.\nAnswer: -63, 1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, p: 4, w: 1}. Give prob of sequence yyy.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 + 6. Calculate the greatest common divisor of 8 and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2169540 divided by 4.\nAnswer: -542385","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*a + 10310 - 5174 - 5191 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 - 3. Suppose -a*h - 18 = -6*h - 4*o, 0 = 5*h - o - 7. Let 8\/5*l**h + 2\/5*l - 6\/5*l**3 - 4\/5 = 0. Calculate l.\nAnswer: -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*w**2 - 3165*w - 2*w**2 + 0*w**2 + 3165*w.\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 - 6. Suppose -3*c + 3*j = 8*j - 18, -5*j + 14 = -c. List the prime factors of 2 + (x - (c - 2)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 195*b + 145*b + 75*b.\nAnswer: 415*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 2 + 14)*(753*w - 661*w + 218*w + 2892*w) to the form c*w + v and give c.\nAnswer: 35222","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -30*n - 14. Let m = 8 - 15. Let a be s(m). Suppose -102 = -2*f + a. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -467*l = -472*l + 10 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 1 + (-25 - -30) + -2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 287, 661, 1119, 1661?\nAnswer: 2287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 5*v = 4*k - 530, -216 = -2*k - 3*v. Is 6 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of 3*k**4\/4 + 12*k - 8. Differentiate r(p) wrt p.\nAnswer: 9*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -2*k**2 + 19*k - 31. Let r be a(6). Suppose -21 = 8*v - r*v. Suppose 293 = -v*m + 1350. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-20)\/5 + 72\/20. What is the nearest to b in -1\/9, -1\/4, 3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3401407?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*l**2 - 204*l = 0.\nAnswer: -204\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**2 + 8. Let n be o(-4). Let w = n + 15. Suppose 22 = -w*x + 106. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n + m + 8, 3*n + 2*n + 4*m + 2 = 0. Suppose 0 = 2*u, -40 = -5*o - 4*u - u. Let j = n + o. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 347190*83.\nAnswer: 28816770","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 28, 213, 712, 1681, 3276, 5653, 8968, 13377?\n\"Answer: 26*g**3 + g**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -2, -3*n + n = -3*u - 8. Suppose -265 = -5*g + 95. Let r = 79 - g. Calculate the highest common divisor of r and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -5*d**2 - 24*d + 15. Let k be l(14). Let z = -913 - k. Suppose 0 = 26*f - 30*f + z. What are the prime factors of f?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5732\/15 + -382. Let y be ((-6)\/(-15) + (-6)\/5)\/(-2). Which is the nearest to -1? (a) 1 (b) y (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 AM and 3:04 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 682262?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*v**3 - 2*v**2 + 2*v**2 + (-1 + 1 - 5)*(0*v**3 + v**3 + v**3) to the form f*v**2 + h*v + p + l*v**3 and give l.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 23623.9999945038 + -23624. What is t rounded to 6 decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37 is divided by (52\/(-20))\/(0 - (-5)\/(-25)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 11:12 PM?\nAnswer: 1:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c + 3*c = -5*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 26.2, -43, -1\/2?\nAnswer: 26.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 6*n + 2. Suppose 58 = 4*o - 62. Is 13 a factor of v(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 649145?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6636 and 10740828.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -67226080 divided by 6722608\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -73371, -146762, -220179, -293634, -367139, -440706?\n\"Answer: -2*o**3 - o**2 - 73374*o + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -2*t - 50, 0*i = 3*i - 4*t - 30. Solve 0 = 2*c + i - 2 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1912810381?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5260 by 5.\nAnswer: 1052","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 4 = -3*l. Let z be -9*(2 + l\/3). Calculate the common denominator of ((-2134)\/99)\/(8\/z) and -97\/10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the third derivative of -v**4\/24 + 2*v**3 - v**2. Calculate q(0).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 4*g - n - 58, 4*n = 3*g - 38. Calculate the greatest common divisor of g and 310.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 260 is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70 = -59*m + 60*m - 41, 2*m - m = -5*k + k - 4*m - 133 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1748, -1747, -1746?\n\"Answer: s - 1749","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/110 - 85\/(-374).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1*-4*7\/(-56)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -112.43 + -11.47. Let d = w - 35.1. Which is greater: d or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00013223 to 4 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(3\/17)*u*u**18)\/(u**(-24)*u**(-10)) assuming u is positive.\nAnswer: u**(904\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 19 - -17?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/4 - (-360)\/(-80). Put k, 5, -1, 23 in descending order.\nAnswer: 23, 5, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, k: 9}. What is prob of sequence kk?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -274 + 279. What is the closest to 0.5 in 3, f, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17 - -199. Suppose 4*u + 5*c - 319 = h, 2*u - 2*c - 272 = 0. What are the prime factors of u?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*h + 3. Suppose 0 = -h*c + c - 5*v + 265, 305 = 5*c + v. Suppose -c = 5*r - 10*r. Is r a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1)\/(-2))\/((-5)\/(-750)). Calculate the greatest common divisor of p and 50.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 equal to -47\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -5 + 8 + 1 + -7. Let j be -4 - ((-2 - 2) + 2). Sort 1, x, j.\nAnswer: x, j, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122*c = 152*c + 120 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1871180333?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -685\/4*t**4 - 295\/4*t - 75\/2 + 55\/2*t**5 + 1115\/4*t**2 + 465\/4*t**3 = 0.\nAnswer: -1, -3\/11, 1\/2, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + -0.5. Let c = p - -1.9. Let r = -0.6 - c. Put r, -1, -2\/3 in descending order.\nAnswer: -2\/3, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of g**4\/4 - 14*g**3\/3 + 15*g**2\/2 - 26*g - 53. Let h be d(13). Solve 2*z - 9 = -z + s, -2*s = h for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.0979 + 0.7979. Sort 2, -0.1, 0.3, -0.5, x in descending order.\nAnswer: 2, 0.3, -0.1, x, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -102 - 12122320?\nAnswer: -12123022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 7 = 7*a - 15*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {n: 1, k: 1, h: 7, o: 3, p: 1}?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1)*z*z**(-4\/7)*(z**0*z)**(-4\/17))\/((z**1)**(2\/91))**46 assuming z is positive.\nAnswer: z**(-2812\/1547)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 2672028?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 29911 to the power of 1\/2, to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 3*q = 5, -b - 5*q + 27 + 3 = 0. Suppose f - i = -4*f - 5, -5*i + 25 = -b*f. Suppose 5*r - 85 - 30 = f. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4 and 58.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4449 is divided by 317.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 451556 - -4?\nAnswer: 451560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.7 and -71817409.\nAnswer: 50272186.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86344 is divided by 123?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 5 - (-1 + 5 + 16).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -41*l**2 - 3549*l - 3549. Determine f(-1).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/3)\/((-3)\/(-9)*-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7356?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zcccccccrzbz. Give prob of sequence cz.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.7 + -4.15. Let h = l - 5.55. Which is the closest to 5? (a) h (b) -1\/10 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the second derivative of -y**4\/12 - 8*y**3\/3 + 18*y**2 + 3*y. Let c be z(-18). Suppose c = 2*b - 204 + 78. What are the prime factors of b?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g = -7*g + 195. What is the remainder when 37 is divided by g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -2*v + 319*w - 320*w, 5*v = -323*w + 318*w - 4 - 16 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 110 and 1166.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*m = 4378 + 1589. What is the least common multiple of m and 24?\nAnswer: 2808","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 16 = 2*b. Let l = 2.3208 - 1.9208. Put l, b, -6, -2 in decreasing order.\nAnswer: l, -2, b, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 1. Let k(z) = -12*z + 86. Let a(i) = k(i) + 5*x(i). Let o be a(7). Solve 3*f = -f - h - 22, 0 = -f - h - o for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/15, 81, 5, 0.1?\nAnswer: 81","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/50 and -123\/250.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 1823540 to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -121*a**2 - 70*a + 878. Give r(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.1 and 1566.\nAnswer: 1566.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 559 = 2*s, -5*s + 1445 = -0*i - 3*i. What is the hundreds digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eiuuguuueeeugieiei. Give prob of picking 1 e, 2 g, and 1 u.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*m - 10329*m**2 - 5658*m**2 - 13*m.\nAnswer: -15987*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5046 and 2532?\nAnswer: 2129412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1011111101000010111000 (base 2) to base 3\nAnswer: -12220012112011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*v**3 - 6*v**4 - 3*v**2 + 5*v**4 - 2 + 5*v**2 to the form k*v**4 + l*v**2 + g + z*v + t*v**3 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1a + 1448?\nAnswer: 1465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 5 = -30. Let t = 34 - n. List the prime factors of t.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 8983 = 5*w + 8954, 3*c + 11 = -4*w for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5052241 times -0.03?\nAnswer: 151567.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 5767580 divided by 1441895\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 147 - 145. Solve -3*z - x*z = 20 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.01 and -46270.\nAnswer: 462.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t - 1 + 1)*(1 - 5 - 13) + t - t - 4*t + (2 - 2 - 2*t)*(0 - 5 + 3) + t + 2*t - 4*t - 7*t + 3*t + 2*t.\nAnswer: -37*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 67.026 rounded to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 4*t**2 - 23*t + 63. Calculate the remainder when r(13) is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 64 = 3*b. Calculate the greatest common factor of b and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 0*w + 0*w + 19*w**3 + 39869 + 8*w**4 - 37784 wrt w.\nAnswer: 32*w**3 + 57*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-3) + (-6 - 25\/(-3)). What is the second smallest value in k, 1, 0.1, 1.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.169 - -3.\nAnswer: 3.169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 79 divide 49691?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 322124, 1288694, 2899644, 5154974, 8054684?\nAnswer: 11598774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -191\/45120 and 89\/1712304?\nAnswer: 34246080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1820900231?\nAnswer: 43, 83, 510199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 20477 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -10*x - 4. Let c(l) = -144 + 244 - 81*l - 133. Let t(f) = -4*c(f) + 33*d(f). Let k(z) = 19*z. Determine t(k(s)).\nAnswer: -114*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w\/(w*w\/w**0)))**7*(w**0)**(-19))**10 assuming w is positive.\nAnswer: w**140","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.1 (b) -0.25 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*s + 3 = -47*s. What is the remainder when (4 - 0)\/(3\/(-99)*s) is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -224530785 or -224530786?\nAnswer: -224530785","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -29152870.35 rounded to the nearest ten thousand?\nAnswer: -29150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -351*o + 6. Let n(t) be the first derivative of -t**2\/2 + 567. Give n(j(x)).\nAnswer: 351*x - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b - -84e?\nAnswer: 85a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -151 (b) 3 (c) 0.2 (d) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 290323\/7 + -41395. Let m = 80 - s. What is the biggest value in -0.3, m, -3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (66\/22)\/(495\/(-30)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/(i\/i**0)*i)**0\/((((i*i**(-6))\/i)\/i)\/(i\/(i**(1\/14)*i))) assuming i is positive.\nAnswer: i**(97\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 406 - 2013\/5. What is the fourth biggest value in -2\/3, 0.02, z, 2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*o + 688 - 2032 + 687 + 657.\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -18\/5*l**4 + 8*l**3 - 24\/5*l**2 + 0 + 2\/5*l**5 + 0*l = 0.\nAnswer: 0, 1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -24 or -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -3622*o**3 - 4*o**2 - o + 1. What is the thousands digit of h(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 631558722?\nAnswer: 2, 3, 31, 3395477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 + 8. Let v be (a + -1)\/2 + -61. Round v to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k**2 + 2*k**2 + 0*k**2)*(-6 + 3 - 5).\nAnswer: 16*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 714 + -455. Let l = -259 + h. Put l, 19, -1 in ascending order.\nAnswer: -1, l, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 + 2*d**2 - 2*d + 7. Let x(v) = -v**3 - v**2 + v - 7. Let r(w) = -5*c(w) - 4*x(w). Give r(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 59 + -18. Let f = o + -2. Let j = f + -38.9966. Round j to 3 dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -918116*q + 9 + 918088*q + 8 - 2*q - 4 + 4 + (3*q - 3*q - 2*q)*(1 - 2 + 2).\nAnswer: -32*q + 17","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 238553757379348\/28553 + -8354770332. Let c = v - 2\/4079. Factor -4\/7 - c*t - 18\/7*t**2.\nAnswer: -2*(t + 1)*(9*t + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -5*b + b**3 + 6*b**2 + 2*b - 4 - 4*b**2. Let u(l) = 2*l**2 + 6*l + l**3 - 7*l**2 + 7 - 2*l**3. Let w(n) = 7*h(n) + 4*u(n). Factor w(f).\nAnswer: 3*f*(f - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 43*f = 34656. Let i = f + 727. What is the least common multiple of 14 and i?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 7*f**2 + 5*f**3 + 12 - 139*f + 108 + 103*f**2 - 129*f + 33*f = 0.\nAnswer: -24, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 31*i**2. Let b(t) = 4*t. Give b(r(s)).\nAnswer: 124*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a (base 14) to base 13.\nAnswer: 1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -2*f**2 - 4*f - 3. Suppose 2*l = 5*s - 148, 4*l + 19 = 3. Let b = s - 30. Give t(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u**2 + 2 - 2 + 6426*u**3 - 8*u.\nAnswer: 6426*u**3 - u**2 - 8*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 134 divide 2775810?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 266 and 278806?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2 - 8*d + 32. Is 4 a factor of m(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 321.23009 to the nearest integer.\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4035 - -6861. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 139 - -229. Let o be j\/3 - (-11)\/33. Suppose 8*h - 11*h = -o. What are the prime factors of h?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 41994*x**4 + 13487*x**2?\nAnswer: 1007856*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 131, 305, 525, 791, 1103?\n\"Answer: 23*u**2 + 105*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1848.\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -49*s - 15*s + 26*s - s + 2 - 2 - 2*s + 0*s + s + (-s - 3*s + 5*s)*(0 + 0 - 2).\nAnswer: -42*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 - -99 - 3*(-2)\/6. What is the highest common divisor of f and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -223 + 320. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1610\/63 - 8\/(-18). Calculate the greatest common factor of 1209 and k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**3 + 23854*b**2 - 71965920*b + 4990048128.\nAnswer: -2*(b - 5928)**2*(b - 71)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 446909.6 to the nearest ten thousand.\nAnswer: 450000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -3*m**2 + 14*m - 4. Let j(v) = -6*v**2 + 30*v - 7. Give -7*f(s) + 4*j(s).\nAnswer: -3*s**2 + 22*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*j**5\/19 - 6*j**4\/19 + 2*j**3\/19 + 22*j**2\/19 + 24*j\/19 + 8\/19 = 0. What is j?\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 26158\/3177 - 4\/353. Let w = -287\/36 + u. Factor 0*q**3 + 0 + w*q**5 - 1\/2*q**4 + 0*q**2 + 0*q.\nAnswer: q**4*(q - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.655 + -34.445. Sort 2, c, 3\/8 in decreasing order.\nAnswer: 2, 3\/8, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2610 divided by -16\nAnswer: 1305\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -301495217390 + 154.\nAnswer: -301495217236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + (-9)\/(-6))\/((-60)\/16).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 1 - 1)*(5 + 1 - 5) + 10 + 0 + 4)*(14*h**3 - 4*h - 5*h**3 - 8*h**3).\nAnswer: 13*h**3 - 52*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 24*v**2 + 2 - 26*v**2 - 2. Let f(s) = -s**2. Calculate h(f(q)).\nAnswer: -2*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 183283 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 197193?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - 2) + -5 - (-76)\/2?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -810, -999, -1380, -1953?\nAnswer: -2718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-23*m + 11*m - 12*m)*((0*m - 3*m + 5*m)*(1 + 1 + 1) + 2*m - 3*m + 2*m) as k + a*m**2 + d*m and give a.\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 3*p = -26 + 19, 2 = -w - 4*p. Let g(l) be the first derivative of -6 + l - 1\/2*l**w. Give g(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*d = 4*d - 20 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 579489845?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - f + 3*f + 22, 2*g + 14 = -f. Let z(s) = 2*s - 2. Let n be z(-5). Let y be (-16)\/(-2)*g\/n. Solve 0*k + y*k - 12 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r**2 + 3*r**3 - 5*r**2 + 6*r**2.\nAnswer: 3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83*f**3 + 92*f**3 + 34*f**3 + 38*f**3 - 53*f**3.\nAnswer: 194*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -3, -0.1, -3\/23, -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2801 a factor of 2078932039?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 138*a - 139*a + 49, 7*a = -4*u + 64. Factor -13122\/7 - 72\/7*j**3 - 972\/7*j**2 - 5832\/7*j - 2\/7*j**a.\nAnswer: -2*(j + 9)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 311129 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.6509 times -0.2\nAnswer: 0.13018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/3)\/(x\/(x\/(x*x\/(x*x**(3\/7)))*x*x*x*x)))\/(x*x**(8\/7)*x*x*x*x**(-19)*x) assuming x is positive.\nAnswer: x**(356\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-1*sqrt(4455)*-1)\/(-2*sqrt(275)*1 + 6*sqrt(275)*-2 + sqrt(275))*4.\nAnswer: 216*sqrt(5)\/65","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ipaspspiivii. What is prob of sequence ss?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2091317?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in seventeen quarters of a microgram?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 47272022 a multiple of 239?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1272.92mg?\nAnswer: 0.00127292","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/1243 (b) -299 (c) 2 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -3, 1, -896, -1\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -55527791, -111055582, -166583373, -222111164, -277638955?\nAnswer: -333166746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 1\/263 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*w = -84 + 111 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a decade in years?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 5*z - 53 - 20, z = 4*x - 59. Let m = 44 - x. Is 11 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*(20\/10)\/((-3)\/(-1))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 422597897 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from zyjuuaujjyka.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110 = -5*b + 2*j - 41, 0 = -4*b + j + 57. Let f be 20\/6 + (-5)\/b. Suppose 4*c + 5*w - 251 = 0, w = f*w - 6. What are the prime factors of c?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of -35*p**2\/2 + 402*p - 1081. Differentiate o(m) with respect to m.\nAnswer: -35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -28 - (2 - -3 - (-68 + 75) - 5).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/1360 and 41\/19737782?\nAnswer: 789511280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*g**2 + g - g)*(-254*g**2 + 517*g**2 - 255*g**2) as o*g**2 + s + z*g + i*g**3 + k*g**4 and give k.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -203*p. Let s(t) = -t**2. Determine s(m(f)).\nAnswer: -41209*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 214734a (base 11) to base 5.\nAnswer: 1431204341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 325 and 481.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7161124, 14322257, 21483392, 28644529, 35805668?\nAnswer: 42966809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:50 PM and 10:42 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of 7*b**5\/20 + b**4\/2 - 2*b**3\/3 - 3*b**2 - b. What is the units digit of u(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 309, 617, 925, 1233, 1541?\nAnswer: 1849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*37\nAnswer: 3.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 - 20*s**2. Let n be a(-20). Suppose n = 2*y - 105 - 125. Does 8 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 1)*(-3 - 2 + 4)*(2 - 1 - 3)*(2*o + 3*o - 3*o).\nAnswer: 8*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 7*u + 2*u**2 - 3*u**2 - 2*u**2 - 5 - 5*u**2 + u**3. Let a be g(4). Let b = -24 - a. Is 5 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 4 - 6*i**2)*(i + 5*i - 4*i) - 3*i**3 - 2662*i + 0*i**2 - 6*i**2 - 2 + 2663*i in the form x*i + t*i**2 + o*i**3 + p and give t.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30988?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10059, -10083, -10163, -10317, -10563, -10919, -11403?\nAnswer: -12033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, k: 5}. Give prob of picking 2 r.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 3 + 0)*(3*j + 2*j - 3*j) + (3 - 3 + j)*(3 - 1 - 4) + (-2*j + 3*j + j)*(-3 - 2 + 3)*(-2946 + 12162 + 18265) to u + c*j and give c.\nAnswer: -109922","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -20\/77 and -67\/40194?\nAnswer: 40194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f + 3. Suppose 6*r + 4 + 38 = 0. Let y = -3 - r. Suppose 4*g + y*o + 10 = 2*o, 4*o + 2 = -2*g. Calculate l(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -482 - -70.5. Let r = y + 436. Round r to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/1*100\/15. Suppose 6*f = f - g. Let x(o) = 2*o + 2. Determine x(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, q: 4, u: 1, i: 1, m: 4}. Give prob of picking 1 q and 1 u.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4 + (-5)\/(-9) + (-4)\/18. Sort -1\/4, -0.6, s.\nAnswer: s, -0.6, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 536591625?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 - 5*v**2 - v - 3. Let t be i(-6). Let x be 31\/3 + 6\/(-18). Let j(k) = k + 3. Let r be j(x). Calculate the greatest common divisor of r and t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.03, 2, -65, 0.2?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*d**3 + 243*d**2 - 492*d + 108.\nAnswer: -3*(d - 18)*(d - 2)*(4*d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -420103 + -20?\nAnswer: -420123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -2, 0.5, 26558, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14121*m**2 + 4935*m**2 - 18914*m**2.\nAnswer: -28100*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -166 = -2*x - 4*c, -47 + 136 = x - c. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r - 3. Let l(b) = b**2 - 2*b - 9. Let u(n) = -2*l(n) + 7*z(n). Let m be 3\/(-9) - (-5)\/(-3). Let g be u(m). Let k(f) = f**2 + 2*f - 6. Give k(g).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - 0) + (29 - (66 + -25))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (15 - -4) + -6 + (-3 - 0)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 126417897*m**4 - 5*m**2 + 3285590 wrt m.\nAnswer: 3034029528*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3447, -13785, -31015, -55137, -86151?\nAnswer: -124057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -9*l + 15719. Let p(q) = -63*q**2. Calculate c(p(j)).\nAnswer: 567*j**2 + 15719","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5154954 - -3?\nAnswer: 5154957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*a - 55*a = -37*a - 73*a + 2044 for a.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -4, 8, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**4 - 3*m**4 + 5*m**4)*(4 - 4 - 1) + (2*m**3 + m**3 + 3*m**3)*(66*m + 70*m - 131*m).\nAnswer: 29*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -223322 + -3?\nAnswer: -223330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -4*f**2. Let z(m) = -210 + 13*m**2 + 80*m**2 + 107 + 104 - 448*m**2. Determine h(z(o)).\nAnswer: -504100*o**4 + 2840*o**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 68 and 375581?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -521542044 + 0?\nAnswer: -521542044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -31.12023 rounded to 2 dps?\nAnswer: -31.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 m when three letters picked without replacement from mmmmmmnmnmm?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1561 - -4?\nAnswer: -1556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 6 = -3*b. Let m be 0\/(6*3\/6) + 3. What is the highest common divisor of b and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1298)\/(-14) - 16\/(-56). Suppose u = -4*i - 27. Does 8 divide ((-50)\/(-15))\/((-4)\/i) + -1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 2*r - 4*a + 553, 4*a = -4. Let o = 558 - r. Solve k - 1 = 3*b - 0*k, -k = b - o for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 21*q**2 - 24*q + 63. List the prime factors of u(6).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76219259269 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 2\/1532905?\nAnswer: 2\/1532905","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1809 - 740.\nAnswer: -2549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 5*u - 37 = c, 21 = 3*c - 3*u. Suppose -3*j = 2 - c. Suppose w + j = 2*x, -x + 17 = 2*w + 2*x. Solve -2*d - y = -3*y + w, 5*d - 2 = 2*y for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 25779 and 39?\nAnswer: 25779","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/4 or 54313?\nAnswer: 54313","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 30*a**2 - 130*a - 3. Let m(k) = 91*k**2 - 391*k - 10. Let s(j) = 7*c(j) - 2*m(j). What is the second derivative of s(l) wrt l?\nAnswer: 56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4\/19 + -30\/323. Let y = 0.01 - 0.31. What is the fourth biggest value in y, 1, 4, b?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -96461.33 or -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-9))\/((8\/3)\/(-4))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -70*z**4 - 25536 wrt z?\nAnswer: -280*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 848?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 2*p**2. Let w be a(2). Let x = 106 + -66. Suppose 4*b = w*b - x. List the prime factors of b.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-378)\/(-2394))\/(6\/(-4))?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the first derivative of c**3\/6 - 8*c + 14. Let d(l) be the first derivative of o(l). Let k(t) = 2*t. Give d(k(n)).\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 12182330 + 1?\nAnswer: 12182331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-2))\/(110\/1980)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(((f**(-12)\/f*f)\/f)\/f)*f*f)**(2\/3) assuming f is positive.\nAnswer: f**(34\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -36 in -1\/3, -50, -59, -0.4?\nAnswer: -50","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -312 (base 9) in base 2?\nAnswer: -11111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.06578 rounded to the nearest integer?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * 207.2.\nAnswer: -41.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 230.000000109 - 230. Round c to seven dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46.217 less than 0.2949?\nAnswer: -45.9221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/594 + -272*(-2882)\/(-8712).\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/56*34)\/(15\/(-60))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (55\/(-198))\/((-20)\/12). Factor -1\/6*m**2 - 1\/6*m + 1\/6 + o*m**3.\nAnswer: (m - 1)**2*(m + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18668917 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 11*n - 200. Let j be h(18). Let a(p) = -11*p - 17. Let z be a(j). Solve -b + z = 0, 4*c - 6*b = -11*b + 25 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -0.2, 3, 4, 0.12 in ascending order.\nAnswer: -0.3, -0.2, 0.12, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 3*b)*(15 - 15 - 4*b).\nAnswer: 12*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13*l**3*p**2 - 2417*l**3*p + 4*l**2*p**2 + 224*l**2*p - 272*l*p**2 + 2*p**2 wrt p.\nAnswer: 26*l**3 + 8*l**2 - 544*l + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -253276*z**2 - 1089937*z wrt z.\nAnswer: -506552","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the second derivative of 4*a**3 + 11*a**2 - 21*a. What is the first derivative of p(n) wrt n?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8 - -2)\/((-2)\/(-30)). Let j be (c\/(-7))\/(24\/112). Let u = -4 + j. Calculate the highest common divisor of 7 and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1483866491 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 320688017 a multiple of 8017?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -373*r - 3937 + 580 for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) 1\/5 (c) 2\/9 (d) 3 (e) 0.4 (f) 0.03 (g) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 + 10*u + 4 - 3*u - 10 - 2*u**2. Let x be k(6). Let f = 4 + x. Calculate the lowest common multiple of f and 22.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4424 divided by -8?\nAnswer: -553","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 532, 527, 504, 451, 356?\nAnswer: 207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 PM and 7:00 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 29453.0463 - -9\nAnswer: 29462.0463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 5*g - 40, 26 = 3*o - 5*g - 6. Calculate the greatest common factor of o and 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 34306570 to the nearest integer?\nAnswer: 5857","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 11001 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*s + 3*s - 2*s)*(3 - 4 + 7) as p + x*s and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1079*i - 13963 = 2035 + 10977 for i.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the second derivative of s**4\/12 + s**2\/2 - 2*s. Let p be -2 + 6 + (-1)\/1. Suppose -3*c - p = 6. What is i(c)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 - 8*t**2 + 10*t - 6. Let b be q(7). What is the common denominator of 7\/11 and 3 - ((-93)\/b + -1)?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16259740.\nAnswer: 2, 5, 7, 116141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i**3 + i**3 - i**3)*(-82*i - 95*i + 54*i).\nAnswer: 369*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/20118881 and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4207 by 44900.\nAnswer: -4207\/44900","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -2\/37461?\nAnswer: -2\/37461","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = -2*z + a + 2, z = 3*a + 17 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -873180 divided by -7938\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 - -13. Let b be (-5 + 15\/20)*-4. Suppose -2*w - 2*w = 3*q + b, -n*w = -4*q + 52. Let j(i) = -i**3 - 9*i**2 - 9*i - 4. Calculate j(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 14718\/5497?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 12*n + 9. Let h(g) = -6*g - 5. Let j = 281 + -276. Calculate j*c(v) + 9*h(v).\nAnswer: 6*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes before 6:16 PM?\nAnswer: 3:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11571115.\nAnswer: 5, 1087, 2129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -1549?\nAnswer: 1\/1549","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4*(-9)\/(144\/(-1160)))\/1. Calculate the highest common divisor of c and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 8688.024 millennia?\nAnswer: 8688024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 366807.81 to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1977*d + 210 = 2019*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6 + -14015024?\nAnswer: -14015031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 14*c - 28. Let k(i) = 16*i - 26. Let t(m) = -5*g(m) + 4*k(m). Is 5 a factor of t(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5.6+67591593\nAnswer: 67591587.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*y - 283 = 40. Suppose -3*r - b + 15 = 0, 6*r - 7*r = 5*b - y. Solve 4*j - 36 = -5*h, -r*j + 2 = 4*h - 30 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-309)\/(-5) - (-1)\/5.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57127 is divided by 10942.\nAnswer: 2417","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2672 = 5*z - 21*z. Let s(m) = 2*m**3 + 4*m**2 + 4*m + 2. Let j be s(-5). Which is smaller: j or z?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -49*g**3 + g. Let o be ((-3 + 7)\/2)\/(-2). Let t be j(o). Suppose 0 = 4*y - 2*f - 18, 5*f + 9 = 4*y. What is the greatest common factor of y and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 167 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 62*c - 61*c - 2*c**3 - 12 + 3 as s*c**2 + q + a*c**3 + n*c and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q + 8*q + 3*q + (-2 - 2 + 2)*(0 + 0 - 2*q) + 24*q - 14*q - 18*q)*(2*q + 0*q - 4*q).\nAnswer: -14*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/(-14)*(15 - (13 - 5)). Solve -2*h = -2, -r*c + 0*c - h = 2 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, d: 1, u: 2, g: 1, c: 1, s: 2}. Give prob of sequence gy.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.82 - 0.18. What is the third smallest value in r, -4, -3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(5\/2)\/t)\/t**18)\/(t*t**(-42)*t*t*t**(-3\/5)\/t) assuming t is positive.\nAnswer: t**(241\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20 + -8. Suppose -26*p - 43956 = -3*p - 122*p. What is the highest common factor of p and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of w**10\/7560 + w**7\/1260 - w**4\/3 + w. Let i(u) be the third derivative of t(u). What is the third derivative of i(v) wrt v?\nAnswer: 240*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 651001, 1301973, 1952919, 2603839?\nAnswer: 3254733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3 - 35\/(-14))\/((-1)\/6). Suppose 2*p - 3*p - n = -5, 4*p - 3*n = -1. Solve -s*m = p*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 + 3*r**2 - 8*r - 18. Let f be l(-8). Let j = 1206 - f. What are the prime factors of j?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -4*z + 2. Let s = z - 5. Let b(c) = c**2 + 4*c - 1. Calculate b(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**3 - 23444*u**2 + 9690000*u - 992624832.\nAnswer: -(u - 204)**2*(u + 23852)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4\/2)\/(1634\/3999) - (-4)\/38. What is the third smallest value in o, -1, -0.3, 10?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.7 - -0.2. Let m = 519 + -491.9. Let q = 36.1 - m. Which is the third biggest value? (a) -1 (b) z (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0*-1*(-1)\/(-2). Suppose -4*k + 5*k - 5 = g. Let o be -1*4 + (-84)\/(-24). What is the closest to o in 1, 0.2, k?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 90 and 70324263?\nAnswer: 703242630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 2 i when four letters picked without replacement from ioooiii?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.004517191 rounded to five decimal places?\nAnswer: 0.00452","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 18662798?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 l when two letters picked without replacement from {n: 1, o: 1, v: 2, l: 2, g: 2}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from {p: 2, c: 9}?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*s + 10, -25 = 5*b + 60*s - 64*s for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 71 - 66. Let w(j) = -7*j**3 - 3*j**2 - 3*j. Let p(f) = 13*f**3 + 5*f**2 + 5*f. Calculate h*w(k) + 3*p(k).\nAnswer: 4*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d**5 + 1540*d**4 - 20525*d**3 - 18270*d**2 + 612900*d + 1323000 = 0.\nAnswer: -3, 10, 294","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2422 is divided by 484?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*a**3 - 22450041*a**2 + 22450041*a**2 - 52*a to the form i + w*a**3 + q*a + j*a**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0012934132 rounded to three decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 14 + 25?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -254236249*n**4 + n**3 - 77982*n**2 + 8*n + 68 wrt n?\nAnswer: -6101669976*n + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8697869 seconds in microseconds?\nAnswer: 869786.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5 - -1) + 2 + -13. Let x = z + -20. Let k = -31 - x. What is the smallest value in k, -2\/15, 3?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2838.8002 rounded to the nearest one hundred?\nAnswer: -2800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -423326, -423334, -423356, -423398, -423466, -423566, -423704, -423886?\nAnswer: -424118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23827*-5.\nAnswer: -119135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (4*(-5)\/(-14))\/(2888\/(-1444))?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1209, 4881, 11023, 19653, 30789, 44449?\nAnswer: 60651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5 + ((-4)\/6)\/(6\/18). What is the third derivative of -14*t**3 + 29*t**3 + 17*t**v + 19*t**2 wrt t?\nAnswer: 192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55.6 rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1000\/3 - 28\/3*r**4 + 1\/3*r**5 - 430\/3*r**2 + 241\/3*r**3 - 1700\/3*r = 0. Calculate r.\nAnswer: -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -2*w - 9. Let r be v(-7). Let t = r - -11. Calculate the greatest common divisor of 40 and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 51\/4 of a meter?\nAnswer: 1275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a kilogram in grams?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 34252.235 to the nearest one thousand.\nAnswer: 34000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 18947 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-four fifths of a micrometer in nanometers?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/6? (a) 167 (b) 5 (c) -31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1911 or 1989?\nAnswer: 1911","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -i - 0*i + 3*a, 5 = -a. Let p = 10 + i. What are the prime factors of (p\/2 - -2)*-1?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 42 - 44. Let w(o) = o**2 + o + 1. Let r(k) = 5*k - 36*k - 23 + 34 - 2*k**2. Let f(t) = i*r(t) - 10*w(t). Factor f(c).\nAnswer: -2*(c - 8)*(3*c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4346 - -4349. Solve l - 5 = -3*d, 3*d + x*l + 16 = 31 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 + 0 - 6)*(-2*g + 1 - 1) - 5*g + 9*g - 2*g)*(-g - 3*g + g).\nAnswer: -24*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 5*p**2 - 28*p - 53. Let c(d) = 4*d**2 - 26*d - 52. Let x(w) = 6*c(w) - 5*g(w). Let y be x(-6). Solve -12*u + y*u = 2 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*t - 2*u - 4, -9*t + 4*t - 4*u - 6 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = -10*o + 3*o. Let v be o\/5*(2 + -2). Solve v*g - 3*g = 9 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 3*o**2 + 28*o + 27. Suppose 3*y + 5*c = 1, c + 7 = 5*y + 52. Let p be g(y). Let w(x) = -x**3 - 6*x**2 - 3*x + 3. Calculate w(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 - (-20 - (10 - 0)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -7*j**3 - j**2 - j. Let h be i(-1). Let x = h - 19. What is the units digit of (-93)\/x + (-3)\/(-12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a meter in millimeters?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 less than -6070?\nAnswer: -6070.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 AM and 4:19 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8232 + 168*d + 6\/7*d**2.\nAnswer: 6*(d + 98)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 17 - b + 4 + 5 - 3. Let g be ((-9)\/3)\/(-3)*11. Calculate the remainder when 22 is divided by x(g).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 21*c - 5*c. What is the third derivative of 450*l**3 + 9*l**c - 3*l**2 - 426*l**3 wrt l?\nAnswer: 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 77*u**3*w**3 + 1082*u**3*w + 16*u**2*w**3 + 3*u*w**2 wrt w?\nAnswer: 462*u**3 + 96*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10001111 (base 2) in base 8?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 34023 and 65307?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 32861, 2\/19, -5, 3\/2, 2\/21?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2*n - 1. Let a be l(2). Suppose -32 = 4*z + 2*r, 5*z = a*r - 29 - 0. Let u = z - -10. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 129967*s + 38882 wrt s?\nAnswer: 129967","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3611503036.\nAnswer: 2, 1321, 683479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (66\/(-27))\/11 + 4844\/9. Let r be (-4)\/16 + 4 + h\/(-56). Is -5 greater than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of -4*y**3\/3 - 6*y. Let f be j(-9). Calculate the highest common divisor of f and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2914 is divided by 718.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1343361502.\nAnswer: 2, 7, 31, 823, 3761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15\/49427 - -49547\/395416. Let h = -2 + 11\/4. What is the third smallest value in h, 2, p?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 382*n - 4*n**3 + 6*n**2 - 5*n + 165*n - 686*n**4 + 1 - 50*n + 624*n**4 wrt n.\nAnswer: -744*n**2 - 24*n + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1109.406 - -0.406. Is r not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bf when two letters picked without replacement from lblfbfglbgll.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -1, -7\/4, -2\/265, -0.4, 2?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -163 + 78. Let f = -84.6 - a. What is the nearest to -1\/4 in -2, f, 11\/2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6664.3 - 206480936.\nAnswer: -206487600.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -10 + 14 + -1 + 10\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 130586143 to the power of 1\/2, to the nearest integer?\nAnswer: 11427","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*y - 4 + 4 + (-1 + 1 - 2)*(-2*y + y - y) + (2 + 27 - 12)*(-2*y + 2*y - 3*y).\nAnswer: -50*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 4. Let f(v) = 6*v**3 - v. Let i be f(k). Let l(p) = p. Let o be l(1). Solve 4*g = i*x, o - 7 = 4*x - 2*g for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6.45 + 5. Let c = -0.93 - f. Let x = -0.52000069 + c. Round x to 7 dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbebebxobbbxoboxbx. Give prob of picking 1 b and 2 x.\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -69, -360, -1079, -2436, -4641, -7904, -12435?\nAnswer: -18444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*(r\/(((r\/((r\/r**(-2\/7))\/r))\/r)\/r*r))\/r)**(-11) assuming r is positive.\nAnswer: r**(-99\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -131 + -1?\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 172*p - 2023. Give z(10).\nAnswer: -303","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-17)\/(357\/7)*-9*2\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -4, 0.1, -5, -55, -0.02?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*v**2 - 2*v**2 - 69*v**3 + 389*v**3 in the form i*v**2 + t + j*v + w*v**3 and give w.\nAnswer: 320","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 1 = j, 3*o - 4*j = -5. Put 5, -5, o in descending order.\nAnswer: 5, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/5 + (-82)\/(-10). Let b = 26 - -14. Calculate the highest common divisor of b and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 116\/232*((-30)\/(-20))\/((-3)\/(-8)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-3)\/9)\/((-3)\/45). Solve -t*g + 1 = -4*y, -2 = -g - y - 0*y for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-62)\/6 - (-4)\/(-6). Let g = o + 17. Let u(s) = -s**3 + 7*s**2 - 5*s. Calculate u(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -6*m**3 + 7*m**2 + 49*m - 181. Give h(3).\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 609 divide 290184?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 + -8 + (49 + -42 - (-2 + 2)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.31647 rounded to 2 dps?\nAnswer: -16.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*s + 0 - 2 - 58*s)*(7*s + 20*s**2 - 18*s**2 - 3*s**2 + (3*s**2 - 6*s**2 + s**2)*(1 - 4 + 4)).\nAnswer: 231*s**3 - 533*s**2 - 14*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -783 <= -561?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 1) + (-63 - -44)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3854 + -3854. Factor o - 3*f**2 - 3\/2*f**3 + 0*f.\nAnswer: -3*f**2*(f + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 887*l + 221. Let d be y(12). List the prime factors of d\/106 - 6\/4.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 0) + (12 - (-15)\/(-1))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35792096 is divided by 37.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*s = 3*s - 20 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -110321 - 3?\nAnswer: -110330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 629*l + 128. What is the units digit of q(13)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -17, 0.4, 0.1, 16, 0.07?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.2832462 rounded to 1 dp?\nAnswer: -6.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -2*g + 6. Let c = -1 + 9. Let a be f(c). Is 2\/(-5) + (-4814)\/a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = -5*u - 0*t + t, 4*u + 2*t = -454 + 263 + 229 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -5*q**2 - 6. Let u(z) = 6*z**2 + 7. Let m(x) = 7*i(x) + 6*u(x). Let t(c) = -3*c**2. Determine t(m(h)).\nAnswer: -3*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(637) - 6*(-2 + sqrt(637))) + sqrt(637))**2 + sqrt(637).\nAnswer: -665*sqrt(13) + 10336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**2 + 270024488*o - 4557076507478884.\nAnswer: -4*(o - 33753061)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11022322202 (base 4) to base 8.\nAnswer: 5127242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/5 - (-8)\/10.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of -r**6\/6 - 274*r**5\/5 - 8*r**3\/3 - 51*r**2\/2 + 66. What is the third derivative of b(m) wrt m?\nAnswer: -60*m**2 - 6576*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(39)\/sqrt(3)*4 - (-1*sqrt(65))\/sqrt(5))*-4.\nAnswer: -20*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1907102284?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 49414 to the nearest integer?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 734135361.\nAnswer: 3, 17, 173, 83207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 48555 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -941918799*r**4 - 176735*r + 250.\nAnswer: -11303025588*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 20 - 8 = 2*t, -2*h - 2*t = 18. Let o(s) = -s - 5. Let m(k) = -1. Give h*m(q) + o(q).\nAnswer: -q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -2*w**3 + 4*w**2 + 2. Let b(u) = u**3 - u**2 - u. Let f(a) = -3*b(a) - c(a). Let t = 10095 + -10098. Determine f(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12 - -133031122201?\nAnswer: 133031122123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1206 and 23584?\nAnswer: 212256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -3*y + 39972, -3*y = -q + 11436 + 1856. What are the prime factors of q?\nAnswer: 2, 3329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - b = 13 + 23, o + 10414 = b + 10440 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.65 times 1?\nAnswer: -0.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120394 = p - 11*p - 24*p. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 + 38*t - 4. Let f be k(-39). What is the highest common factor of f and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8.2 - 8.7. What is the nearest to -1 in 2\/17, -3\/8, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l - 80. Give a(-32).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u - 2*u - 2*u)*(-2*u**4 + u**4 + 0*u**4) - u**5 + 2*u**5 + u**5 + (-u + 0*u + 3*u)*(0 - u**4 + 0) - 58 + 8*u**5 + 58.\nAnswer: 10*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence emu when three letters picked without replacement from {u: 1, m: 3, i: 1, w: 1, e: 5}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*y + 7*y - y + (3 - 3 - 2*y)*(-1 + 3 - 3) + (0 + 4 - 2)*(1 - 1 + 3*y).\nAnswer: 11*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 654 + 138 = 372. What is the highest common divisor of g and 703?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -195 and -194 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7 - (6 + -6 + 6) - -7. Let d = 3 - -2. Factor q - 3 + 6*r + d*r**2 + 24*r + 20.\nAnswer: 5*(r + 1)*(r + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 1 - 11 = 0. Let w(v) = -2*v + 1. Let l be w(c). Differentiate 5*r + l - 12 - 5*r + 3*r**3 with respect to r.\nAnswer: 9*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 4*q = -242 + 89, 2*a = 3*q + 75. Suppose 8 = 5*i + a. Suppose t = 4*d - 15, 0 = 3*d + 3*t - 19 - 11. Sort 3, d, i in descending order.\nAnswer: d, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204)\/(-1*sqrt(6)))\/(sqrt(72)*1) - ((-2 + 5 + sqrt(272))**2 + 0).\nAnswer: -281 - 145*sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s - s + s)*(-44 + 2*s**4 + 44) + 0*s**5 - 2*s**5 + 3*s**5 - 2*s**5 + 0*s + 0*s + (2*s**4 - 2*s**4 + s**5)*(1 - 4 + 2) - s**5 - s**5 + s**5.\nAnswer: 3*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -70628, -70668, -70708, -70748?\n\"Answer: -40*h - 70588","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 40119 - 80235\/2. Solve -9\/2*s**2 - 3\/2 + 9\/2*s + r*s**3 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 52, 78, 102, 124, 144, 162, 178?\nAnswer: 192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -853, -3109, -6741, -11743, -18109?\nAnswer: -25833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -35 in -1\/6, -0.5, 2\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 k when three letters picked without replacement from {k: 12, t: 6}?\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 4.890267 kilometers?\nAnswer: 4890.267","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-20))\/(15\/(-475))*(-1572)\/524?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and -27711093?\nAnswer: -5542218.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11060 is divided by 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -12082*y**3 - 3*y**2 - 10*y - 13 + 2316*y**3 - 8*y**2. Suppose -42 - 35 = -7*d. Let j be g(d). What is j rounded to the nearest 1000000?\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8.8417*336.\nAnswer: -2970.8112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010001010111000110 - -111001101011?\nAnswer: 1010010010000110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = o + 4, -3*w + o = 2*w - 40. Suppose -12*n + w*n + 15 = 0. Let a(t) = t**2 - 3*t - 10. Calculate a(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.021924 to three decimal places.\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4858715, -9717420, -14576123, -19434824, -24293523?\nAnswer: -29152220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/2827 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20604 = 3*o + 528*c, 343*c - 175 = 5*o + 171*c + 167*c for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 34 + -34. Let o be g*(5 - 5 - 1). Suppose -159 = -j - 5*l, 12*j - 16*j + 4*l + 684 = o. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 14) to base 12\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, 0.2, 107.694, 0.05 in descending order.\nAnswer: 107.694, 5, 4, 0.2, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -4364137 take away 0.3?\nAnswer: -4364137.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*q - 123 + 251 = -184 for q.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add 113 and 53064.\nAnswer: 53177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*d**5\/11 - 18*d**4\/11 - 4*d**3 + 72*d**2\/11 + 16*d\/11 = 0.\nAnswer: -2, -1\/5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6 - 91\/(-7))\/(-1). Which is the fourth biggest value? (a) 3 (b) -2 (c) 0.3 (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes after 3:11 PM?\nAnswer: 8:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 0.05 (b) -36 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3428889?\nAnswer: 3, 397, 2879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -3 - 1. Let s = -9 + 24. Let l(j) = 3*j**3 + 2*j**2 - 2*j + 1. Let u be l(1). Solve 3*i + q*b = 7, u*b = 5*i - 4 - s for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1608)\/(-268)*25\/(-30)*3?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*j**3 + j**3 - 5*j**3)*(117*j - 128*j - 81*j) in the form u*j**3 + i + s*j + m*j**2 + d*j**4 and give d.\nAnswer: 184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 2*k - k - 4 + 0*k. Let g be j(7). Suppose 0*b + 28 = 3*b - 4*n, -3*n = g. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the third derivative of -j**4\/24 - 9*j**2. Let p(c) = -12*c. Let d(k) = -2*p(k) + 22*s(k). Let t(v) = 3*v. What is d(t(u))?\nAnswer: 6*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 18*z + 211. Determine q(-11).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(-189)*(4 + -10)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -238*t*z**2 + 15563*t*z + 57*z**2 wrt z?\nAnswer: -476*t + 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -7*w**2 + 4*w + 4. Let y(k) = k**3 - k - 1. Let s(l) = -a(l) - 4*y(l). What is the third derivative of s(i) wrt i?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -3*o**2 + 5*o - 5. Let p(d) = -d**2 + d - 1. Calculate 2*f(g) - 10*p(g).\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-93)\/(-4433)*1969 + -41?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -719 = -207*h + 2179. Solve h*n = 132 - 62 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llylylll. Give prob of picking 3 l.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v. Let f(q) = 13. Let z(p) = f(p) + 2*n(p). Let g be z(-6). Solve -2*m = -7*m + g for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vwp when three letters picked without replacement from vuhvvhuhuphuhhwvhphh?\nAnswer: 1\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 75 - (65 + -71) - (-4 - 1) - 4\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-5 + sqrt(68)).\nAnswer: -25 + 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-1\/11)*q\/q**(-12))\/(q*q**4*q)**(-4\/11))**(-47) assuming q is positive.\nAnswer: q**(-8319\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 131*p**3 - 6*p + 9. Let c(q) = -262*q**3 + 13*q - 20. Determine -6*c(f) - 13*v(f).\nAnswer: -131*f**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do 166725\/31 and 5378 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 944874 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(126)\/(sqrt(6) - sqrt(6)*3) - ((sqrt(525) - (sqrt(525)*-2 + sqrt(525))) + sqrt(21)))\/(sqrt(56)\/(sqrt(24)\/sqrt(3)) + 6*sqrt(175)))**2.\nAnswer: -23*sqrt(3)\/31 + 5431\/3844","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -53, -165, -333, -557, -837, -1173, -1565?\n\"Answer: -28*l**2 - 28*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 l when three letters picked without replacement from {m: 3, t: 3, o: 4, l: 3, y: 7}?\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5754 and 315896?\nAnswer: 129833256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*y + 9*y = 186 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**2 + 3*u + 4. Let s be (-6)\/(-15)*(-10)\/(-1). Suppose s*r = 2*o - 6, 2*o - 5 = 8*r - 3*r. Suppose -42 + 17 = -o*l. What is c(l)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p + 5*o - 83, 41 = -3*p - 2*o + 121. Suppose 2*z - p = -0*z. Let i(w) = -w**3 + 5*w**2 + 3*w - 4. What is the remainder when i(4) is divided by z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(2\/(-12)*3). Let j = 18 + -12. Let a = j + -4. Solve 0 = -3*h - 5*i + 5, a*i - l = -0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1836608*c**4 - 54368*c + 12 wrt c.\nAnswer: -22039296*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.02935 or 4\/3717?\nAnswer: 4\/3717","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -25112, -50212, -75312, -100412, -125512?\n\"Answer: -25100*k - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 + 25 = 5*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, e: 17}. What is prob of sequence eee?\nAnswer: 34\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -48 - -42. What is the lowest common multiple of 40 and (-4)\/(16\/o) - 85\/(-10)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*t + 766 + 704 = 0. Let d = -93 - t. Let c = 0.3 + 0.7. What is the smallest value in -0.2, c, d?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/4)\/((-129)\/86).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 4*i - i - 1 = 0, -3*i - 9 = -3*k. Suppose k*s - 4 = a - 10, 3*a - 20 = 5*s. Find the first derivative of 0 + 5 - 9 - 3 + a*c**4 wrt c.\nAnswer: 40*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 + 5*o - 5. Let y(b) = -25*b**2 + 16*b**2 + 8*b**2 - 4*b + 4. Let w(u) = -4*r(u) - 5*y(u). Let f(l) = 2*l - 18*l - 2*l. Give w(f(p)).\nAnswer: 324*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1704, -3405, -5102, -6795, -8484?\n\"Answer: 2*v**2 - 1707*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvqv when four letters picked without replacement from {v: 4, q: 2}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1342942 is divided by 96.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 16 times 7167379\nAnswer: 114678064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 1. Let w(a) = 2*a + 2. Let v(p) = -4*f(p) + w(p). Suppose -3 = -4*c - 5*i + 1, 0 = -i. Let k be (1 - (-2 - 1))\/(c - 0). Give v(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.02, -3, -1\/3, -2\/9, 8?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 609*p - 126049. Give h(203).\nAnswer: -2422","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -2, -4, -18 in ascending order.\nAnswer: -18, -4, -2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1044 + 703 = -31*i for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 63 - 64. Let x be -2 + (-8774 - (w + -3)). Is (-1)\/3 + x\/(-18) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 48 - 47.981. Let l = q + -0.319. Which is the third smallest value? (a) -2\/5 (b) -2 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2058003281 to the power of 1\/4, to the nearest integer?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 15*b - 9. Let o be (23\/1 + 3)\/2. Let p(f) = 7*f - 4. Give o*p(s) - 6*r(s).\nAnswer: s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-21)*c**(-7\/8)\/c)\/((((c*c**22)\/c)\/c)\/c*c**(3\/26)) assuming c is positive.\nAnswer: c**(-4367\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 3371*c**2 - 17*c - 18. What is the tens digit of r(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 15 = 3*o. Suppose 2*x - 131 = 5*f - 5, 0 = -o*x + 3*f + 315. Is x a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-9))\/(306\/12393)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 178116243 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggaaaggggagggagggg. Give prob of sequence ag.\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*v**2 + 3*v**4 - 57 + 0*v**2 - 2*v**2 + 56 + 14*v to the form d*v**3 + a*v**2 + x*v + k + c*v**4 and give x.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 50096, -2, -472 in ascending order.\nAnswer: -472, -2, 50096","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 16, 24, -18, -1 in increasing order.\nAnswer: -18, -1, 4, 16, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that g**5 + 9*g**4 - 120*g**3 + 272*g**2 = 0.\nAnswer: -17, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3284.049 centuries in millennia?\nAnswer: 328.4049","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 700 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 2 i when four letters picked without replacement from {g: 4, l: 7, h: 1, i: 6}?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -2*p + 3*p + p. Suppose -4*j - 4*h + 40 = 0, 4*h - 12 = 2*j - 2. Suppose -3 = 4*u - j*u. Determine x(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9988 is divided by 578?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 0 - ((-3 - 3) + 5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -4261, -17059, -38391, -68257, -106657, -153591?\n\"Answer: -4267*r**2 + 3*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 a, and 1 k when three letters picked without replacement from {r: 1, w: 2, d: 4, k: 4, a: 5}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -127*d + 123*d = 68, -4*x - 29 - 122 = -d. Let j = -4 + -32. Which is greater: j or x?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 i when two letters picked without replacement from {t: 2, m: 2, i: 1, y: 7}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 5*d + 3. Suppose -3*a = -4*a + 3. Is 9 a factor of t(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 1, 0, 21, -50 in ascending order.\nAnswer: -50, 0, 1, 10, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 7*p**3 - 6*p**2 - 2*p - 2. Let x(h) = 6*h**3 - 5*h**2 - h - 2. What is 5*f(m) - 6*x(m)?\nAnswer: -m**3 - 4*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 160*y**2 + 955*y - 999*y**3 + 477*y**3 - 1110 + 517*y**3 = 0?\nAnswer: -6, 1, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3110710?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 8, u: 3}. Give prob of sequence unu.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 4*y = 14, -4*y + y = 5*k - 28. Solve 5*q - 35 = -3*m, k*m - m - 2*q - 12 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26391 is divided by 6519.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (1051 - 1047) + (-3 - -3 - -12)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 150784*o**4 - 185339*o wrt o?\nAnswer: 1809408*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 63 and 252?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of a**9\/252 + 17*a**8\/168 - 11*a**5\/20 + a**4\/24 + 96*a**2. What is the third derivative of g(d) wrt d?\nAnswer: 240*d**3 + 2040*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(1\/7)*d**(4\/3))\/(d**7\/d**4) assuming d is positive.\nAnswer: d**(-17\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 9\/(-6) + 45\/(-6). Let x(f) = 159*f**2 + 1 - 161*f**2 - 18*f + 2. Let m be x(z). Solve -5*q = m*o, -5*o + 8*o = -q + 12 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 - 6*d**2 + 4*d - 5. Suppose -4*b - 18*r + 20*r - 62 = 0, -r = 3*b + 59. Let w be (-32)\/(-6) - 12\/b. Calculate p(w).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -79 - -120. Suppose 0 = -h*v + 38*v + 15. Find the second derivative of 14 - 14 + 8*q + 24*q**v - 32*q wrt q.\nAnswer: 480*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 351 a factor of 419606?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -6765 at least -6797?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.0447 + -342.9553. Let t = -342 - s. Suppose -4*w - d = d - 14, -4*w + 13 = d. What is the nearest to t in w, 5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10128\/2761 + 8\/251. What is the common denominator of -68\/39 and j?\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of 16 + 0*s**2 + 37*s - 14\/3*s**3. Differentiate z(q) wrt q.\nAnswer: -28*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -167 - -80. Let z = -88 - y. What is the smallest value in z, -0.03, 0.05?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38479679713 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 + 21*t**2 - 93*t - 15. Calculate the remainder when 78 is divided by w(7).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(162) + sqrt(162)*1)*6)\/(-3*sqrt(36)\/sqrt(4) + sqrt(9)))\/(1*(sqrt(6) - sqrt(24)) + sqrt(6) - (sqrt(96)\/sqrt(4))\/sqrt(4)).\nAnswer: 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 141\/(-235) - 583\/420 and 67\/304.\nAnswer: 6384","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 - 6*v + 4. Let c be k(4). Let p = 1.97 - 0.37. Let d = 1.3 - p. What is the third biggest value in -3\/7, c, d?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 73?\nAnswer: -3\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(-3\/7))\/x**3)\/(((x\/(x\/(x\/(x*x*x**12))))\/x)\/x*x*x\/x**(-10)) assuming x is positive.\nAnswer: x**(10\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0 (b) -0.1 (c) 0.1 (d) 19 (e) 26516\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 91*(-2)\/(-90) - ((-3068)\/(-117) + -26).\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (-16)\/7) + 10\/(-35)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.7 in -5, -13, 1\/18?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3358*j**2 - 158*j + 1055545 wrt j?\nAnswer: -6716*j - 158","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 220?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = 22*n - 71. What is the closest to -0.02 in n, 0, 1\/5, 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1132?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 909?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 81*y**2\/2 - 1368*y + 11552.\nAnswer: (9*y - 152)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 7) to base 11.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 8*n + 344. Determine y(-42).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0547 minus 17381?\nAnswer: -17381.0547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(3\/7)\/t**(2\/5) assuming t is positive.\nAnswer: t**(1\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 31 = 4*m, 2*m + 2423*g = 2425*g + 12 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 136296 times 0.1?\nAnswer: 13629.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 75 divided by 3.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 2*w - 2*y - 13, 3*y = 3. Solve -w*a = 2*a - 28 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 4*p - 40, -3*p + 4 = f - 6. Let s be (-10)\/(-45) - (-14)\/18. Let l = 1 - s. Solve -p*c - 20 = -l*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -89276433 divided by 13303\nAnswer: -6711","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1445.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -13, 114\/5, -1\/4, -213, -0.5?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.045 times 2.32?\nAnswer: -0.1044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1475*i + 23*i + 2 - 70*i + 3186*i**3 wrt i.\nAnswer: 19116*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -5, -4*m = -9*m + r + 9. Suppose 2*n - 30 = m*f, -3*n = 4*f - 28 + 4. Does 3 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1176 + -1175. Which is the closest to q? (a) -1\/4 (b) -1 (c) 0.13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2 + 7*a + 2. Let x be r(-3). Let l = 3 + x. Let v(k) = -k**3 + 4*k + 2. Is v(l) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 4*z - 123, 0 = 4*u + u - 15. Suppose 3*p = 5*l + 57 - 0, 0 = -p - 3*l + z. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.234 - -0.266. Suppose 5*f + 2*f = 70. Let g be (-6)\/4 + (-15)\/f + 1. What is the closest to 3 in -2\/17, g, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 741751?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(513))\/sqrt(9))\/sqrt(3))**2.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-19)\/(-17 + 340))\/(1\/(-2))?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(325)*3 + 0 + 4*(2 + sqrt(325)) + 2)**2.\nAnswer: 700*sqrt(13) + 16025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 69 = -4*k, 3*p - 4*k + 6*k = 235. Sort 4, p, 0, -1 in ascending order.\nAnswer: -1, 0, 4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100000 (base 2) to base 10\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2328638 divided by 89563.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11912 + 11917.263. Let h = u + -28.2674. Let x = -23 - h. Round x to three decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide (-182)\/(-3) + (-8)\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -426*j - 82811 = -5*l - 424*j, 3*l - 49685 = 2*j. What is the hundreds digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 60*m**2 + 2*m**4 + m + 2309*m**3 - 2309*m**3 to the form y*m**2 + o*m**3 + a + h*m**4 + u*m and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 AM and 3:49 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 333268240 to the power of 1\/5, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x*x**(2\/3))\/x)\/x*x)**(-7\/6)\/(x**1*x)**(-14\/3) assuming x is positive.\nAnswer: x**(133\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(1*4\/(-10)*-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3, 5, 6, -0.2, 17459, 0.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a - 1. Suppose 0 = -0*u + 6*u - 6. Let k(y) = 4*y + 4. Calculate u*k(o) + 5*c(o).\nAnswer: -o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03413238 rounded to 5 dps?\nAnswer: 0.03413","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -1, -3.1, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5099, -5105, -5117, -5135, -5159?\nAnswer: -5189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 19 (b) 1 (c) -1074\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*d - 29*d = 19*d + 11, -20*d = -3*m - 16*d - 104 for m.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 + a + 2. Let p be w(2). Suppose f - 7 + 4 = p. Solve f*v = 5*v + 2 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 - 4. Suppose -28 = -3*y - n - 9, -j*y + 3*n = -31. What is the smallest common multiple of 14 and y?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 598420485 and 494.\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11100011000111011111 (base 2) to base 12.\nAnswer: -38a427","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15 and 625.\nAnswer: 1875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 31 + -83 + 21 + -1?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 1)*(1 + 1 - 1)*(-3*i**4 + 3*i**4 + i**4).\nAnswer: 3*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 303836 and 481?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 156159 + 387639 = 0. Let l = p - -186298. Suppose 0 = -3*q - q + h - 279999, 2*q + l = -2*h. Round q to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 205 - -1?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/2*(-2254)\/(-91287)\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1118\/9 - -124. Let f(k) = k**3 + 18*k**2 + 2. Let c be f(-18). Let x = 26173\/2 - 13087. Put x, t, -0.4, c in ascending order.\nAnswer: x, -0.4, t, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 921, 1847, 2773, 3699, 4625?\nAnswer: 5551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 + 1)\/1 - (-622663 + 6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11 - 47 + 1406*n + 58 in the form u*n + x and give u.\nAnswer: 1406","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 AM and 10:38 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3507*s**3 - 1643*s**3 + 4132*s**3 + 10235*s**3.\nAnswer: 16231*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -113129443 to the nearest 100000.\nAnswer: -113100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -14*l + 1. Let f be a(-1). Let i(k) = -6 - 14 + 6 + f*k - 16*k. Suppose 2*v + 3*s + 11 = -0*v, 2*v - s + 15 = 0. Give i(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 96833?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.3022 and 3444.\nAnswer: 7928.7768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.3 - 1.53. Let q = c + -0.07. Let r = 0.70003 - q. Round r to 5 decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -22*p + 93*p + 284 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 170 + -17 + 9 - (-273 - -315).\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (0 + 1*sqrt(720))**2 + -1.\nAnswer: 721","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 195 + -177. Suppose 0*s + r = -2*h - 4*s, -3*s = 4*h + 16. Let t = 15 + -24. Put -5, t, h, 5 in descending order.\nAnswer: 5, h, -5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-14)\/1540*10)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 87.71895 kilometers?\nAnswer: 87718950000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: a (base 16) to base 9\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r - 1. Let o be i(4). Suppose o*t - 5 - 4 = 0. Let k = -7 - -7.1. What is the closest to k in -4, -1, t?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2361, 2357, 2349, 2337, 2321, 2301?\n\"Answer: -2*j**2 + 2*j + 2361","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*a**4 - 5 + 5 + (a**2 + 2*a**2 - 2*a**2)*(2*a**2 + 7 - 7) in the form f + g*a**3 + c*a + m*a**4 + w*a**2 and give m.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of 3\/2*j**2 + 2 + 0*j. Let b(k) = 3*k. Determine c(b(p)).\nAnswer: 9*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/3*i**2 - 1034\/3*i + 0.\nAnswer: 2*i*(i - 517)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-1 - -6) - (49 + -74).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11433999*h**2 + 6 - 6 + 11434004*h**2.\nAnswer: 5*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 123 a factor of 6144?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*(-3)\/24*-148*(-77)\/77.\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 16\/6*(-36)\/(-48). Let z(h) = 9 - 9 + 6*h**b - 4*h**2. Let p(x) = 2*x**2 - 4*x**2 + 3*x**2. Determine p(z(r)).\nAnswer: 4*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**2 + 24*d - 50. Let z(t) = t**2 - 2*t. Let m(f) = -a(f) - 3*z(f). What is the smallest common multiple of 105 and m(-11)?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 71*g**3 - 5*g**2 + 293*g + 608. What is a(-2)?\nAnswer: -566","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19 and 1273.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3979\/780 - 41\/130. Find the common denominator of a and ((-87)\/(-12))\/(18\/(-20)).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 0.2 (b) 4 (c) -0.7116 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2770 and 6430?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -254*o**2 - 2 + 248*o**2 + 0 - 4*o + 4*o - o**2 + (-o**2 - o + o)*(-5 + 4 - 1) + 2*o**2 - 2*o**2 + o**2.\nAnswer: -4*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -6, -8, -2, -3.3, 0.1, 101, -12?\nAnswer: -3.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7 - 1)*4\/(-16))\/(-3)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 6\/745, 4, -0.05?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - 5*i + 38 - 26, 4*i - 3 = 5*p. Is -24\/457 not equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 42298.41 micrograms?\nAnswer: 0.04229841","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1\/14 + -4\/7. Let m = 3197\/4252 - 2\/1063. Which is the third smallest value? (a) m (b) q (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-6*(sqrt(432))**2.\nAnswer: 10368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 38, 4, 5, 3, -10064 in ascending order.\nAnswer: -10064, 3, 4, 5, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30839016 and 130?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -44*u**3 - u**2 - 57 wrt u?\nAnswer: -132*u**2 - 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u + 4. What is a(-9)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 5*j**3 + 6*j**2 + 9*j + 4. Give h(-2).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:58 AM and 10:49 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1462*c**3*h*x**2 - 8*c**3*h - c**3*x**3 - 171*c*h*x**3 + 22*x**3 wrt x.\nAnswer: -6*c**3 - 1026*c*h + 132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 10) + -95 - (-9 - (-15 + -1 + 10))\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/14 + -7*(-160)\/392. Solve -3*g + h + o + 7 = 0, g + 4*h = 25 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 = 5*i - 5*u, 0 = -4*i - 0*u + 3*u + 59. Suppose -i*t + 14 = -13*t. Let y(n) = 12*n - 6. What is the remainder when y(5) is divided by t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*m**2*y**2 - 127024*m**2*y - 27062*m**2 - 51 with respect to y.\nAnswer: 10*m**2*y - 127024*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2184, 4386, 6604, 8856, 11160, 13534, 15996, 18564?\n\"Answer: 3*o**3 - 10*o**2 + 2211*o - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -3*(6*(sqrt(68) + sqrt(68) + sqrt(68)*1))\/((sqrt(4) + sqrt(12)\/sqrt(3))*-5 + sqrt(4)).\nAnswer: 3 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -64*f**3*i**3 + 9*f**3*i**2*v - f**2*i**3 + 2*f*i**3*v + 1 with respect to v.\nAnswer: 9*f**3*i**2 + 2*f*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 257 + -92. Let g be (28\/(-10))\/(1\/45). Let q be (-4)\/18 + (-1918)\/g. Calculate the greatest common divisor of o and q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/3218 or -1?\nAnswer: 1\/3218","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3 and 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -4167, -7420, -8839, -7506, -2503, 7088, 22185?\n\"Answer: 153*i**3 - i**2 - 4321*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2037, 2169, 2389, 2697, 3093?\n\"Answer: 44*d**2 + 1993","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7318 in -5\/2, 1, 7.33?\nAnswer: 7.33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -258 - -206. Is 6 a factor of (-14)\/(-49) - o*(-30)\/(-28)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0175*-245.1.\nAnswer: 4.28925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 22542 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 602*s + 5*m = 599*s + 15, 3*s + 2*m - 33 = 0. Calculate the remainder when 265 is divided by s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-85)\/(-10)*(-76)\/228.\nAnswer: -17\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, a: 2, s: 2}. What is prob of sequence hs?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 + (-18)\/(-1) + -3. Suppose -2*k + w = -0*k. Suppose -3*h + k = -2*h. Solve 3*u + h + 6 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 + 20. What is the highest common factor of 36 and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74 + 112 = 19*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 12 - -3939da?\nAnswer: 393a0c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -466 + 70 = 66*g for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 11, r: 2}. What is prob of picking 3 g and 1 r?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - b49?\nAnswer: -b48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 723, 721, 709, 681, 631?\nAnswer: 553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 AM and 12:01 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17, -23, -29?\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 9\/144*-30 + (1 - -1). What is the biggest value in -6, 15, 0, p, -3\/7?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1651939?\nAnswer: 37, 44647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 226283945 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**2 + 8*k - 6. Let u be j(7). Let f = 1 - 1. Let r = f - -0.4. Which is the second biggest value? (a) r (b) 3 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 + -6. Let o be 30 + 1\/(1\/q). Suppose 5 = m - o. Does 10 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 794 + 320*p**2 + 776 - 1572.\nAnswer: 320*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of 2*w**5\/15 + 7*w**4\/24 - w**3\/3 - 37*w**2 - 2. Find the second derivative of p(m) wrt m.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 460*z**2. Let t(y) = 310840 + y - 310840. What is s(t(v))?\nAnswer: 460*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 + 12*k**2 - 11*k + 18. Calculate i(-13).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 28853 - 28843. Solve 0 = 4*o - 3*p - w, 5*p - 8 = p for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 5 + 21 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1872) + -1)**2.\nAnswer: 24*sqrt(13) + 1873","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - 138?\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((4*(-9)\/216)\/((-20)\/(-80)))\/(-9)?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12678 = -6*c + 3*c. Suppose 4*t = -c + 23110. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a be (-46)\/(-20) + 3 + -5. Let d = -393.4 - 790.1. Let h = d + 1183. What is the third smallest value in -2\/9, h, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8*(-6)\/96)\/(15\/(-2)))\/(9\/(-27)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes before 10:52 PM?\nAnswer: 5:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 564 a multiple of 94?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + l = -17, -10 = -5*g + 6*l - l. Let y be (-6)\/(-15) - (3 + g). Let v = -2.2 + -0.8. What is the biggest value in v, y, -2\/9?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: d52927 (base 14) to base 2\nAnswer: 11011011011101000100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -4595.2 to the nearest 10.\nAnswer: -4600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3301 and 5?\nAnswer: 16505","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 22\/80 - 2\/5. Let d = 2 + -1. Let t = 39\/37 + -306\/185. What is the closest to d in g, t, -4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kt when two letters picked without replacement from tkk?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 978 + 11*s + 14*s**3 - 15*s**3 - 3*s**2 - 981 to the form v*s**2 + z*s**3 + w*s + p and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 296506 is divided by 98817.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -108, -391, -862, -1521?\nAnswer: -2368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 + 25*w**2 - 38*w + 8. What is the tens digit of y(11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/3 (b) 2\/3 (c) -0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-18)\/((-5)\/5 + 3). Which is the third smallest value? (a) 1 (b) m (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 292 is divided by 33?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f**(11\/3))**(-36))**(-2\/115))**(5\/6))**(-6\/7) assuming f is positive.\nAnswer: f**(-264\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of i**5\/20 - 7*i**4\/12 - 9*i**2\/2 - 10*i - 2. Let u(a) be the first derivative of o(a). Let v be 3\/(-2)*7*10\/(-15). Give u(v).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:13 PM and 2:58 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -12651924*j**2 - 2*j. Let w(y) = -3*y. Give w(u(k)).\nAnswer: 37955772*k**2 + 6*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3*(3 + 7)\/(-2). Solve 0 = -8*f + 5*f - i for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 46\/31 + -739\/310. Are k and 3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -3*l - 124. Let a(y) = 6*y**2. Give i(a(u)).\nAnswer: -18*u**2 - 124","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30556.\nAnswer: 2, 7639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*o**3 - 7*o**3 - 6*o**3 - 52*o + 61*o**3 + 52*o.\nAnswer: 6*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1186 + -1175. Calculate the remainder when 251 is divided by r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/14 + 24\/84. Suppose d = 59*l - 61*l - 6. Let v be (-21 + -1)*l\/30*-5. Is -15 at most as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -374586 divided by -2514\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -5*s - 1. Let t(k) = k - 1. Let w(d) = a(d) + 6*t(d). Give w(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*4*sqrt(2268) + sqrt(2268))\/(3*(sqrt(729) + 5*sqrt(729))).\nAnswer: -23*sqrt(7)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -554 (c) 2 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -326, -651, -976, -1301, -1626, -1951?\n\"Answer: -325*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2736) + 1 + 3 - 2*sqrt(2736)*-2) + -4 + 4)**2*-1 + -4.\nAnswer: -68420 - 480*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -6*r**2 + 189*r + 1616. Calculate p(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 922 a factor of 14432066?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 548528112?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:02 PM and 11:14 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - -68906247.\nAnswer: 68906245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52329346?\nAnswer: 2, 26164673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3486 and 45.274.\nAnswer: -3440.726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z**3 + 36*z**2 + 1612*z = 0.\nAnswer: -26, 0, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20500 divided by 5125.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/9))**(7\/9)*(w**(-2\/11))**(1\/36) assuming w is positive.\nAnswer: w**(299\/1782)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4001?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.089 times 0.1\nAnswer: 0.0089","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 AM and 10:07 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 298048284 to the nearest integer?\nAnswer: 17264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vqf when three letters picked without replacement from {v: 5, n: 1, r: 2, q: 5, i: 2, f: 2}.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 7316082?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -20*l**3 - 3*l**2 + 2*l. Let h be j(-2). Let b = 74 - h. Is 14 a factor of (-7860)\/b - (-4)\/(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 70 or 71?\nAnswer: 71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 - -24 - (-2 - (-9 + 1)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2443925913?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-622)\/(-10) + 3\/(-15). Let o = d + 24. What are the prime factors of o?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 37 + 44 + 29 - 121 + 101*s to the form d + f*s and give f.\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/54244 and 59\/382?\nAnswer: 54244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -292*f - 40128 = 401*f + 11*f for f.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6 + -11?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -4*l - 5, -185*l + 182*l = 2*n. Solve -2*t - 11 + n = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (0 + 244\/(-144))*2*2 and 149\/30.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 467.021 * -28.\nAnswer: -13076.588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**3 - 5*c**2 + c - 4. Let y be b(5). What is the closest to y in 17, 2, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/12 + 597\/(-18) + -1. Let i = g - -123. What are the prime factors of i?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 5 = -4*n - 15, 2*n = 0. Let p = -11 - -8. Let q = -16 - -16.3. Sort w, q, p.\nAnswer: w, p, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*h**3 + 247 + 27*h**3 + h**2 - 244 to the form c*h**3 + r + q*h**2 + x*h and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/3 of a hour in minutes?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16 - -13) + 4 + 0 + 5.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 20 = -k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 1 = i. Suppose 0 = i*w - 6 - 174. Suppose 2*n + 3*d - w = -d, 0 = -5*d. List the prime factors of n.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 3*m = -4, 32*a - 27*a + 28 = m. Sort -9, -2, 2, a, 7 in decreasing order.\nAnswer: 7, 2, -2, a, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 9 = 5*k, 5*r - 4*k + 3*k = 15. Suppose 36 = 7*b - r*b. Calculate the lowest common multiple of b and 17.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, w: 4, e: 9}. Give prob of picking 1 e and 1 w.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12 + 11)*(2\/2 - 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19706538.300047 - -19706637.3. Let z = -99 + v. Round z to five dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 147 + -145. Suppose 3*s + 15 = 21. Solve 3*h = s*v + 11, -5*h - v = -m*v - 16 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 126*g*r**2 - 1547*g*r*u - 96*g*r + 43*r**3*u - 4*r**3 wrt u.\nAnswer: -1547*g*r + 43*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.132583ns to milliseconds.\nAnswer: 0.000005132583","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (1*sqrt(104))\/sqrt(8))**2.\nAnswer: -6*sqrt(13) + 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, g: 9, q: 1}. Give prob of picking 1 g, 1 a, and 1 q.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1493\/335 or 3?\nAnswer: 1493\/335","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 6564*g - 14 = -6566*g, 0 = -4*s + g - 5 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -64*g**2 + 385*g + 262260 wrt g?\nAnswer: -128*g + 385","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 862756?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(2 - 6\/(90\/33))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-3\/4))**(-4) assuming y is positive.\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 16*y**3 - 2*y**2 + 4*y - 3. Let w be v(2). Suppose 6*m - a - w = m, -2*m - 3*a + 33 = 0. What is the greatest common divisor of 6 and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001340884 rounded to 6 decimal places?\nAnswer: 0.000134","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/18316 and 7\/3819.\nAnswer: 3681516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -65099368*-0.15.\nAnswer: 9764905.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 9*j**2. Let i(b) = 2*b - 13. Let o be i(7). Let v(p) = p**2 + p. Let s be v(o). Let y(q) = 3*q**2 - q**2 + q**s - q**2. What is d(y(t))?\nAnswer: 36*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -109592.\nAnswer: 1\/109592","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 29 + 6*r**2 + 7*r**2 - 21*r - r**3 + 7*r**3 - 5*r**3. Let j(y) = 3*y**3 + 2*y**2 - 4*y - 6. Let q be j(-2). What is the tens digit of g(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*m = -47*m - 16 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6808*n**5 + 3*n**3 + 8408*n + 2 wrt n.\nAnswer: -136160*n**3 + 18*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 6*l + 56 = -10*l, -56 = 12*w + 3*l + 2*l - l for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1813006, 1813005, 1813002, 1812997?\n\"Answer: -d**2 + 2*d + 1813005","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -5*f**3\/2 - 3934715*f**2 - 3096396426245*f\/2 = 0.\nAnswer: -786943, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -709998*h**2 + 4*h + 2. Let u(d) = -d - 17. Let t be u(-16). Let k be v(t). Round k to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d**3 + 4916*d**2 + 4171429*d + 4166514 = 0. Calculate d.\nAnswer: -3826, -1089, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*q + 2 - 2.\nAnswer: -10*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in seven sixths of a minute?\nAnswer: 70000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -16905166?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -2724.8 to the nearest 100.\nAnswer: -2700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -5 (b) -12 (c) -1 (d) -21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 224 - -3?\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 147*g**2 - 357*g + 114. Give c(2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 707 and 27045881?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -252672 divided by 1316?\nAnswer: -192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 59268 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 the product of -10 and 4.7?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.03979 + -0.03079. Let s = 0.009 - i. What is the fourth biggest value in -5, s, 4, -2\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 143\/210 and 13\/50.\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.5, -1\/11, 0.5, 5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 835054?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9*x**2 + 32*x**2 - 4*x**2)*(207 - 12 - 8) to the form n*x**2 + l*x + u and give n.\nAnswer: 3553","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 + 4*o**2 + 7*o + 2. Let i be n(5). Suppose -3 + i = b. Find the first derivative of b - 4 + 4*u**3 - 2 + 1 wrt u.\nAnswer: 12*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1271.425 - 1276. Round f to 1 dp.\nAnswer: -4.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 232049 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2048263, -2048258, -2048251, -2048242, -2048231, -2048218?\n\"Answer: u**2 + 2*u - 2048266","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -54 not equal to 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - o - 4*q + 12 = 0, -2*o - q + 6 = 0. Let g be o\/2 - 836\/22. Let r = -31 - g. What is the highest common divisor of 66 and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 14*a**2 + 9*a. Let x(j) = 3*j**2 + 2*j. Let t(b) = -2*r(b) + 9*x(b). Let i = -3 + 5. Let g(k) = -10*k + 7*k - 3*k**2 - 3*k**i. Calculate g(t(v)).\nAnswer: -6*v**4 + 3*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (5728\/12)\/4 + 64558\/(-14898)\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5363 less than or equal to -5359?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 70137, 140273, 210409, 280545, 350681, 420817?\n\"Answer: 70136*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 2*w = -55, 2*h = h + 3*w + 23. Suppose -18*j = -h*j - 25. Solve 5*v + 18 + 1 = -2*n, -j = 5*v for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -216 - 8?\nAnswer: -222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1267904371 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -0*p - 5. Suppose p*t = 148 + 202. Calculate the common denominator of 65\/9 and -1 + 1 - 380\/t.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i, 1 a, and 1 v when four letters picked without replacement from vyiycaacaaiy.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 12546994?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 2*z**2. Let l = -3 - -5. Suppose -3*a + v + 56 = l*a, v - 10 = -a. Let o(x) = -a*x**2 - 17*x + 17*x. Determine o(b(j)).\nAnswer: -44*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13859\/1092 + 16\/273. Let k(m) = -2188*m + 1. Let s be k(3). Let w = -105053\/16 - s. Calculate the common denominator of c and w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8\/26)\/((-5)\/((-2145)\/(-66)))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jblj when four letters picked without replacement from jjbbjlb?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*w + 11*w - 2*o = 5, -3*w + 1 = 2*o for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/45, 0, -2, -0.1, 2\/31, 4\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/(k*k**(1\/31)*k))\/(k\/(k*k*k**(3\/5)))*(k\/(k**23\/k))\/k**(-43) assuming k is positive.\nAnswer: k**(3653\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 919214, 3676817, 8272816, 14707205, 22979978, 33091129, 45040652?\nAnswer: 58828541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z - 3. Let i be j(-7). Let n = -622 + 616. Let f be 7 - 30*(-2)\/n. Sort 31, i, f in decreasing order.\nAnswer: 31, i, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -0*n + 3. Let p = 4 + n. Let v be 7505\/15 - 1\/p. Round v to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the third derivative of -s**6\/60 + s**5\/60 - s**4\/12 - s**2. Let q be 1\/(-9) - (5148\/324 + -39 - -22). What is r(q)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (25\/3)\/(-2893 - -2892).\nAnswer: -25\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 5:53 AM?\nAnswer: 10:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wurwfufur. Give prob of sequence uruw.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/7)*n)**45*(n*n*n*n**(-2\/11)*n)\/n*(n*n\/(n**(-2\/29)\/n))\/n assuming n is positive.\nAnswer: n**(140108\/2233)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 924875 a multiple of 245?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*q = -3*q - 21 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*5*(((sqrt(45) + 0)*-6)**2 - ((1*sqrt(40))\/sqrt(4))\/sqrt(2)).\nAnswer: -16200 + 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 1 + -2 + -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 2:18 AM?\nAnswer: 1:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -167\/12 + 115\/6. Which is smaller: -9 or x?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000035402 rounded to seven dps?\nAnswer: -0.0000354","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -c - 56. Let r = c + 172. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-115)\/(-10) + 15\/6. Let n(u) = 674*u - 101. Is n(q) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(65)\/sqrt(5) + -5.\nAnswer: -4*sqrt(13) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 25013 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 50650, 101288, 151926, 202564, 253202?\nAnswer: 303840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a**(-12)\/a)*a**13*(a**(1\/9))**11)**(-26) assuming a is positive.\nAnswer: a**(-6604\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 99*n + 190*n**2 - 34*n - 32*n - 47*n + 132*n**2 + 16. Is 10 a factor of f(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -20*i. Let g(k) = 531*k + 490. Give u(g(z)).\nAnswer: -10620*z - 9800","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 5*n + 12 = 0. Suppose -4*m - 16 = -3*s + 24, 0 = 3*s + 5*m - 31. What is the greatest common divisor of n and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 2*n**3 - 3*n**2 + 6*n - 2. Give p(2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.8974 times -146\nAnswer: -131.0204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4\/11 + 80\/99. Let o = i + 73\/18. Find m such that 0*m + 0 + 3\/2*m**5 - 3\/2*m**2 - 9\/2*m**4 + o*m**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 23224 and 1463112.\nAnswer: 1463112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*n - n - n + (-9 - 4*n + 9)*(-3 + 7 - 2).\nAnswer: -7*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 44 and -50\/1461969613.\nAnswer: 1461969613","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20 + -21. Let o be (1\/(-2))\/g*-10. Let z = 64 - 63.5. Sort 0.7, o, z in ascending order.\nAnswer: o, z, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 726 < 720?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14488165*c**3 - 33797761*c**2?\nAnswer: 86928990","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, z: 9, v: 5, u: 1}. Give prob of sequence uz.\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*j = -4*r + 19*j + 5177, -4*r - 2*j + 5174 = 0. Is r a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16 + -15. Suppose m - 14 = -p. Is p a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -302 - -300. Let g(a) = -15*a - 5. Let y(w) = 7*w + 2. What is d*g(m) - 5*y(m)?\nAnswer: -5*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1316485 divided by 1\nAnswer: -1316485","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*q**4 - 2*q**4 - 4*q**4)*(-2*q + 0 + 0) + (-1 + 1 + q)*(3*q - 3*q - 2*q**2)*(-84*q**2 + 1316 - 1316).\nAnswer: 172*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 5, z: 7, b: 1}. Give prob of picking 2 m.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 + 4*p**2 + 3*p + 6. Let n be a(5). Let v = -1708415\/36 - -47454. Find the common denominator of v and 417\/(-84) - (-1)\/n.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -26 + 34. What is the remainder when f is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*m + 1782345 + 795380 = -66531. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/5544 and 25\/2184?\nAnswer: 72072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 420 and 2880.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 8, y: 2}. What is prob of picking 2 y and 1 j?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -439956, -439771, -439586, -439401, -439216, -439031?\n\"Answer: 185*a - 440141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/455 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14 - -9. Let o = -4.7 - c. Let b be (-3)\/(-4) - 1\/2. Which is bigger: b or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2 + 2. Let l be j(-3). Let d(b) = b**3 + 82*b**2 + 5. Let f be d(-82). Solve 9 = -f*o - l for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + 1*(-9 + 0). Let h be (-6)\/x + (-32)\/(-6). Suppose 0 = 7*d - 6*d - h. Is 5 less than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.07, 0.9, -0.27, -18 in descending order.\nAnswer: 0.9, -0.07, -0.27, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 757 - 480. Let v = -156 + j. Let a = -1211\/10 + v. Is 0 < a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -w**5\/2 - 25*w**4\/2 + 4753*w**3\/2 + 175273*w**2\/2 = 0.\nAnswer: -49, 0, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -43.43767 rounded to 2 decimal places?\nAnswer: -43.44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11000 - -1111100010010010100110?\nAnswer: 1111100010010010001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7449338.\nAnswer: 2, 13, 286513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -9*m + 79. What is r(10)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -2*t**3 + 62*t**2 - 110*t - 174 = 0.\nAnswer: -1, 3, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 - 37*t**2 + 9. Let h be n(37). Let o be ((8 - h)*0)\/(-2). Let f = 3 + 0. Solve 3*a + 5*k = -o*k - 8, -f*a - 2*k + 4 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, e: 5, w: 3, m: 1, l: 7}. What is prob of sequence wmt?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 128 - 135. What is the hundreds digit of m + 4 + -2 - -150?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18508.509 months to years.\nAnswer: 1542.37575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -57*p - 240. Is 12 a factor of u(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 3*t - 9, t + 0 = -5*h + 3. Let m = 4 - 2. Let c(z) = 4 + 3*z + 5*z**2 + 3*z**3 + z - m*z**t. What is c(-3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 + 16*g + 35. What is x(-16)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.044 + -0.015. Let c = z + -0.0290073. Round c to 6 dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91119 less than or equal to 1549038\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -27\/146 + -5643\/1460. Find the common denominator of f and -58\/45.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 488428 is divided by 206?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 - 17. Let b(s) = -16*s - 19. List the prime factors of b(h).\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 5 + 7. Let l be 0\/(-4 + 1 - o). Suppose -4*c + 250 = 2*p, -2*c + l*c = -2*p - 116. What is the remainder when c is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2\/3 - 265*p\/3 - 88.\nAnswer: -(p + 1)*(p + 264)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20 and 7702500?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 c when three letters picked without replacement from {c: 8, f: 6}.\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -159*o = 603 + 33. Sort 10, 1, -3, 15, o in descending order.\nAnswer: 15, 10, 1, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes before 5:53 AM?\nAnswer: 5:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -48540 times 6.498\nAnswer: -315412.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 5 + 22*m + 20*m - 43*m. Let n = -247 - -247. Determine i(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1434300 rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -5227224, -10454441, -15681656, -20908869?\n\"Answer: p**2 - 5227220*p - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18\/60 - (-747507)\/10 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5950.5 - 5950. Suppose 4*w - h - 3 = 0, -4*w + 8 = h + 3. Let c be -2 + (1 - 0) - w. Sort s, c, 1\/7 in increasing order.\nAnswer: c, 1\/7, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 4 + (-6 - -3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*q - 46 = -57*q. Let m = -5 + -25. Let z = m - q. What is the highest common divisor of z and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 - y**2 + 2*y - 1. Let p be l(1). Let j = -125.2 + 125. Which is the nearest to p? (a) 2\/19 (b) -0.1 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o + o + 3*o)*(2*o**3 - 2*o**3 - o**3) + 7*o**4 - 5*o**4 - 3*o**2 + 5*o**2.\nAnswer: -4*o**4 + 2*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19 - -21. Let q(f) = 2*f. Let t be q(m). Solve t*a + 10 = -x - 0, 4*x = 8 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + w - 21 + 15 = 0, 2*w + 2 = 5*k. Determine r so that 0 - 200\/11*r - 2\/11*r**3 - 40\/11*r**k = 0.\nAnswer: -10, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75975 is divided by 18613?\nAnswer: 1523","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2498*0.5\nAnswer: 1249","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 5208*k**2 - 124*k - 248. Let l(n) = -127*n**2 + 3*n + 6. Calculate 3*i(d) + 124*l(d).\nAnswer: -124*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38767667 is divided by 203.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -7 + 1 - i**2 + 1 + 6*i**2 - 8*i + 2*i**3. Let y(l) = 3*l**3 + 5*l**2 - 7*l - 5. Let s(m) = -2*u(m) + 3*y(m). Let s(o) = 0. What is o?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 3 + 2 + 5*z - 3. Let j(u) be the third derivative of 0*u - 76*u**2 - 1\/6*u**3 + 0 - 1\/12*u**4. Determine -14*j(q) - 6*t(q).\nAnswer: -2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -3, -2, 5, 0.12, 22 in descending order.\nAnswer: 22, 5, 0.12, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = 107*p - 108*p. What is the remainder when 528 is divided by p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -2*w**3 - 2*w - 11. Let t(o) = -o - 10. Determine -6*m(c) + 7*t(c).\nAnswer: 12*c**3 + 5*c - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 3*v + 14. Let w(k) = k**2 + 6*k + 27. Let s(p) = -5*b(p) + 3*w(p). Find the first derivative of s(n) wrt n.\nAnswer: 6*n + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 82199 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + q + 1)*(-13 + 13 - 50*q**2) + q**3 - 2*q**3 + 4*q**3 + (-5 + 3 + 0)*(-3*q**3 + 4*q**3 + 2*q**3).\nAnswer: -53*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 + 49 - -31 - (-1 + 25).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3383524?\nAnswer: 2, 845881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -50 or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -354 (base 15) to base 16\nAnswer: -2f2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 2 = -t, 4*t = -t - 10. Let o(g) = g**3 + g + 2961. Let z be o(v). Suppose c - z = -8*c. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 247 = 5*m - 5*p, m - 47 = 3*p. Is m a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 4*r - 26 - 46 = 0, -4*r + 132 = 2*h. What is the highest common factor of h and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -s + 111. Let x = s + 557\/5. Sort -2, x, 0.5 in decreasing order.\nAnswer: 0.5, x, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 125495 + -56805. What is j rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/5 of a kilogram in grams?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -2*g**3 - 3*g**2 - 32*g - 61. Give a(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wkucqqwcwuwwukcq. Give prob of picking 2 u, 1 q, and 1 c.\nAnswer: 27\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 - 15*u**2 + 16*u - 26. What is h(14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -92 - -169. What are the prime factors of z?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1722 divided by 6.\nAnswer: 287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, n: 7, b: 2, e: 4}. Give prob of sequence bzb.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 159615?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the first derivative of -x**6\/360 + 3*x**5\/40 + 3*x**4\/8 - 46*x**3\/3 + 113. Let h(v) be the third derivative of f(v). Calculate h(10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 times 345285\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 38636 and 3562?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1502004 to the power of 1\/5, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4 - -6 - 1) + (2 - 5). Find the third derivative of 1272*y**2 + 16*y**x + 14*y**6 - 1239*y**2 wrt y.\nAnswer: 3600*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2022 (base 4) to base 16\nAnswer: 8a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/(-6))\/((-2)\/(-3)). Let l = 1385 + -1380. What is the second smallest value in o, l, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 3*q. Let g(h) = 16192*h + 20240. Let j(x) = -3*x - 4. Let u(c) = g(c) + 5060*j(c). Give u(r(p)).\nAnswer: 3036*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a\/a**(1\/6)*a*a**(-1\/8))**(-2)\/(a**(-2\/9)*a**9*a*a**(4\/7)*a\/a**6) assuming a is positive.\nAnswer: a**(-2713\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c + 8. Let u(r) = -r + 9. Let a(v) = 6*u(v) - 7*w(v). Let g = 61 - 59. Suppose 7 - 23 = -4*h - 2*x, -14 = -h + g*x. Calculate a(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -655*t**2 + 18*t + 53. Suppose 0*y = -4*y + 5*i - 44, 0 = -3*y - 2*i - 33. Let l be s(y). What is l rounded to the nearest ten thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 5*n**4 + 235*n**3 + 3180*n**2 + 9540*n - 12960 = 0.\nAnswer: -24, -18, -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3321290 to the nearest integer?\nAnswer: 1822","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 623?\nAnswer: 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 v, and 1 z when three letters picked without replacement from {t: 8, z: 1, v: 7, h: 4}.\nAnswer: 14\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 826.747 kilometers in centimeters?\nAnswer: 82674700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 184, 277, 370, 463, 556, 649?\nAnswer: 742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/12*(-21)\/(-1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-6)*18\/(-4).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000132299 to six decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 102364102?\nAnswer: 2, 1033, 49547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 59 and 5251.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/7 in 4, 1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46812 = -48*v - 1591 + 2347. What is the hundreds digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (-9 - (-1 + -2))) + 8.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence om when two letters picked without replacement from oomoooooooooooooooo.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) 0.3 (c) 2\/5 (d) 1376\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 1\/6, 0, 6\/7?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4047*b**5 - 915*b**4 + 79*b**2 - 2*b - 997 wrt b?\nAnswer: -242820*b**2 - 21960*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -53 + 56. Suppose 2*q + 2*v - 1136 = -2*v, -k*q - 4*v + 1702 = 0. Suppose 2*t - 384 = -4*p, 3*t + 4*p - q = -0*t. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 882845\/12 + -73463. Do k and 107 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vas when three letters picked without replacement from {v: 1, a: 2, q: 1, s: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2942451 divided by 28\nAnswer: -2942451\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2409, -1\/29, -3, 0.2, 20 in decreasing order.\nAnswer: 20, 0.2, -1\/29, -3, -2409","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (5 - 2)\/(12\/8*1). Suppose 0 = -3*j - s*j + 65. Suppose -7*q**2 - 3*q + j*q**2 + 4*q**3 - 7*q**3 = 0. Calculate q.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 + 18. Suppose 5*d = 3*s + 46, -d - q*s + 1 = -2*d. Suppose d = -2*l + 177. Does 44 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2 + 4*j + 2. Let v = -64 + 21. Let m = 48 + v. What is g(m)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6477 + 6498. Solve 5*o - m = s, 15*s + 5 = 10*s for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2. Let s = 0 - -2. Let i(v) = -1 - s + 3 + 7*v. Let c(f) = 13*f. Let m(o) = 3*c(o) - 5*i(o). Calculate m(g(k)).\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 16933827 to the power of 1\/3, to the nearest integer?\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/83976079 and 85\/351172694.\nAnswer: 3862899634","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 4*f + 3 = 2, -5*o = -2*f - 17 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2856 and 12871.\nAnswer: -36759576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000468 rounded to six dps?\nAnswer: -0.000047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -4442 - 4411 - 4*o**3 + 2*o**2 + 8822 + o in the form k*o**3 + x*o + c*o**2 + a and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is v in 2*v**5 - 408*v**4 + 17786*v**3 + 304956*v**2 + 1478912*v + 2281152 = 0?\nAnswer: -6, -4, 109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/25 of a meter?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5391 and 63.\nAnswer: 37737","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 208663 and 13?\nAnswer: 208663","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 3*g**2 + 0*g**2 - 4*g**2. Let p(h) be the third derivative of 3*h**4\/8 + 3*h**2. Determine p(l(o)).\nAnswer: -9*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 - (-6 - 6 - -17).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.091 - -0.109. Let u = -15\/22 - -2\/11. What is the nearest to 2\/9 in u, j, -5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 10\/(-3) + (3 - 1). Suppose 5*r = -3*o - 37, -5*o = -5*r - 4 - 1. Let i(x) = 2*x**2 + 7*x - 5. Let d be i(o). Is a equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 - a**2 + 3*a + 70. What is the lowest common multiple of 1 and z(0)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the third derivative of -d**5\/30 + d**4\/4 + d**3\/2 + d**2. Let b(s) = 2*s**2 - 5*s - 2. Calculate -5*b(i) - 4*o(i).\nAnswer: -2*i**2 + i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1174, -12 in ascending order.\nAnswer: -1174, -12, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 577393.\nAnswer: 191, 3023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (59 - -1)*3*(-4)\/(-36). Let j be (0 - (-68)\/(-130)) + (-8)\/q. Which is bigger: j or -2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 - n**2 - n + 4. Let o be i(0). Suppose o*s = 4*z, s + 2*z + 3*z = 0. Let c(q) = q**2 + 6. Give c(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1846005473?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -118*z = -120*z - 4 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 18*x**2 + 973*x - 1903. Determine b(-57).\nAnswer: 1118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 2*i - 20 = 0. Suppose 0*t + t = i. Solve 0 = v + 4*v - t for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = -5*o - 21, 4*w = -3*o - 1 - 15 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5046 + 5?\nAnswer: 504b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the second derivative of -26\/33*g**3 - 56\/11*g**2 - 1\/110*g**5 + 189*g + 29\/66*g**4 + 0. Determine t so that d(t) = 0.\nAnswer: -1, 2, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of 141*g**2\/2 - 51. Let b(i) = -i. Calculate b(d(m)).\nAnswer: -141*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 - (-38 + 10) - (-1 - -23)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19 - -22. Does 9 divide -2 + (6 - i) + 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*r*u**2 + 71*r*u + 23*r - u**2 - 14 wrt u.\nAnswer: -8*r*u + 71*r - 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22*a**2 + 68*a - 68*a)*(4 - 16 + 2).\nAnswer: -220*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*h**4 - 10*h**2*q - 329*h*q wrt h?\nAnswer: 36*h**2 - 20*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -4*j**2 - 7825*j - 17. Calculate i(0).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 5*o + 1. Let u be q(1). Let n(r) = -r**3 - 7*r**2 - 5*r + 5. Let m be n(-6). Let a be m - (2 + (-21)\/u). What is the closest to -1 in a, 3, -4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 17*m**2 - 2*m**2 - 8*m**2 - 9*m**2. Let p(k) = 9*k. Determine p(c(h)).\nAnswer: -18*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the second derivative of s**6\/30 - 137*s**4\/12 - 319*s**3\/6 - s**2 - 5*s - 32. Find the second derivative of p(g) wrt g.\nAnswer: 12*g**2 - 274","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 16*b - 15*b + 21*b + (1 + b - 1)*(6 - 3 - 1).\nAnswer: 24*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes before 8:34 AM?\nAnswer: 4:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13926*c + 624059574 - 624059574.\nAnswer: -13926*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 9:45 AM?\nAnswer: 10:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15840?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 28 = -o. Suppose -3*l + l = o*l. Suppose l = -4*v + 2*g + 26958, 2*v + 2*g - 7395 - 6087 = 0. What is v rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*y + 3*y - 4*y + 0*y + 4*y - 2*y - 2*y + y + 3*y - 3*y - y + 3*y + (-1 + 1 - 2*y)*(1 + 2 - 4) - y + 0*y + 0*y.\nAnswer: 9*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i - 4 - i + 0*i. Let q be w(-4). Let n(s) = -5*s**2 + 2*s**2 - 5*s + 2 - 5. Let b(j) = 7*j**2 + 11*j + 7. What is q*b(x) + 9*n(x)?\nAnswer: x**2 - x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 182*n - 1037. Determine m(11).\nAnswer: 965","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -2*u**3 - 9*u**2 + u. Let i(p) = -2*p**3 - 8*p**2. What is -6*a(k) + 7*i(k)?\nAnswer: -2*k**3 - 2*k**2 - 6*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, t: 4, y: 5}. Give prob of picking 1 t and 1 y.\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -85.2 + -3.9. Let v = -84 - x. Let n = v - 4.9. Which is the third biggest value? (a) n (b) -7 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w**(-2\/3)*w\/(w**(-5\/3)*w*w) assuming w is positive.\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 98?\nAnswer: -5\/98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 43 + -4. Let i = -43 + w. Let a be -32 - (-1 - -1 - i). Is -36 at least a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 420 and 200.\nAnswer: 4200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = n + 15, 7*j = 2*j + 4*n + 30. Let t = -5 + j. Suppose 3*u + v - 22 = 0, -4*v - 11 = -t*u + 3. What is the lowest common multiple of 5 and u?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - 8*r + 42 = 0. Let l be r\/(-7) + (-14)\/(-2) - 0. Solve -5*j + l = -j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -31571*d**3 - 2*d**2 - d - 481.\nAnswer: -189426","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -14*x**3 + 56*x**2 - 56*x + 56. Let w be (-1001)\/(-154) - (-120)\/(-16). Let t(a) = -a**2 + a - 1. Determine w*d(k) - 56*t(k).\nAnswer: 14*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -3*m + 70 - 49*m**3 - 71 + 8*m**2 + 46*m**3. Let q(v) = v**3 - 3*v**2 + v. Let a(j) = 4*f(j) + 11*q(j). Calculate a(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -4*w - 87. Let j be r(0). Let z be -3 + j\/(-27) - (-6)\/(-27). Is z not equal to 3\/35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -5 (b) 1 (c) 0.5 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 110, -183, 2 in ascending order.\nAnswer: -183, 1, 2, 110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 27 and 3783.\nAnswer: 34047","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a5 (base 11) to base 13.\nAnswer: -8b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 25*s + 3822 - 3072 for s.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 711?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 - 148*z**2 - 603*z - 752. Determine l(152).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/516 and -71\/3225?\nAnswer: 12900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 8 = 4*c, -41*c - 6 = -44*c + 5*k for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -259038 (base 12) to base 14\nAnswer: -120b92","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from plencelenlneccpl. Give prob of sequence cll.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 147 - 147. Solve 3*b = 3*h - b - 3, h + 5*b + 18 = t for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**3 + 3*h**2 - 3*h + 10. What is u(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1248 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 2)*(-2 - 3 + 3)*(-1 + 5 - 1)*(3*n - 3*n - n)*(9*n - 24*n + 16*n + 2).\nAnswer: 6*n**2 + 12*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 91221891547 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/4 (b) 0.1 (c) 0.085 (d) 0.3 (e) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1579?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from affaaaaafaaaaa.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1070 and 321?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 227878 + -135455. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -36 + 109\/3. Let m = 1485719 + -1485719. Suppose -f*t**2 + 5\/3*t + m = 0. Calculate t.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1058511 and -119050102.\nAnswer: -117991591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*6*(96\/(-12))\/88?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 237618 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66 is divided by 37?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 75431 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -93097*i - 1861996. Determine d(-20).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(15)\/sqrt(5) + 1 + sqrt(108) - (0 + (sqrt(27) - (-1*sqrt(675))**2)).\nAnswer: 4*sqrt(3) + 677","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14395 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 164 and 10444.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1415 is divided by 19?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 - 46*q**2 - 502*q + 42. Give c(-19).\nAnswer: -167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 12\/(-30) - 564\/(-10). What is the highest common factor of 7 and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10 + 11 + 49)*(-3*c**4 - 6*c**4 + 3*c**4) to i*c**2 + n*c**3 + f + k*c + z*c**4 and give z.\nAnswer: -420","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 5369.31486 minutes?\nAnswer: 0.532670125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/1545 at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (-12724)\/(-8) - (-9)\/(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1001101110110111110 (base 2) in base 16?\nAnswer: -4ddbe","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3\/2)\/(111\/(-592)). Does 17 divide (5 + q)*(2 - 1) - -996?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4031?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 37297 = -2*g - g, -5*o = -g - 46645. Suppose -14*r - 2*r = -o. What are the prime factors of r?\nAnswer: 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 606275010 a multiple of 2487?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the third derivative of 5*u**2 + 0*u + 0 + 1\/24*u**4 + 1\/5*u**5 + 1\/6*u**3. What is the units digit of g(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -8, -1, 5, -18 in decreasing order.\nAnswer: 7, 5, -1, -8, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 187668 and 84.\nAnswer: 1313676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n - 24*n = -3229 - 19904. Which is greater: n or 6?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*v = 4*v - 144 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 1 + 0)*(4*y**2 - 5*y**2 + 25*y - 25*y) in the form c + a*y**2 + s*y and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d**4\/6 + 2485*d**3\/6 + 1547699*d**2\/6 + 12240347*d\/6 + 1782522 = 0. Calculate d.\nAnswer: -1316, -1161, -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 195 - 194.8. Which is the second biggest value? (a) h (b) 0.3 (c) -0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 3 + 4*o**3 + 2*o**3 - 3*o**3 + 0*o**3 + (-71*o**2 + 20*o**2 + 14*o**2)*(4*o - 4*o + o) in the form n*o + h + v*o**3 + k*o**2 and give v.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*b + 12*b = -x - 9, -12 = -4*b + 2*x. Let l be 7*((-6)\/2 - (-15 - -11)). Let r = -6 + 8. Solve r*d = l + b for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 68570 and 280773579?\nAnswer: 2807735790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 2, -0.006, 7?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**2 - 13*q + 2787. Let r be l(-59). Solve 75 - r = 2*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 169*b + 67*b - 7 + 0 - 1. Let a be t(10). Suppose 3320 = 4*n - a. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000397249741 rounded to 7 dps?\nAnswer: 0.0000397","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -24 + 26. Is 613\/d - 9\/(-18) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 22, 817, 1626, 2449, 3286, 4137, 5002?\n\"Answer: 7*l**2 + 774*l - 759","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-2\/5))**(-32\/5))**35 assuming j is positive.\nAnswer: j**(448\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, p: 2, z: 2}. Give prob of picking 1 z and 1 j.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9579 - 871687\/91. Which is bigger: 56 or a?\nAnswer: 56","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (104\/78)\/(32\/120). Let x(p) be the third derivative of 3\/320*p**6 + 0*p + 0*p**d - 1\/16*p**4 + 0 - 1\/560*p**7 + 0*p**3 + 43*p**2. Factor x(y).\nAnswer: -3*y*(y - 2)**2*(y + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1ab33 (base 12) to base 2\nAnswer: -1001101011010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.16 times -14.63?\nAnswer: 2.3408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2 + 2*t - 6 - 6*t - 5*t + 2*t. Suppose 5*w + 85 = 5*j, 2*j + 2*w - 59 = -w. Calculate the smallest common multiple of p(9) and j.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + (-4 - (-3 - 3)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2015?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -561 in -6, 0.2, 38, 2?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 464*c**2 + 439*c.\nAnswer: 928","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55 divided by -1459968.\nAnswer: -55\/1459968","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6374 + 7662?\nAnswer: 15146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 355.6232g?\nAnswer: 355623200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 422665297 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -9*j**4 + 114*j**3 - 3*j**2 - 50. Let m(i) = 17*i**4 - 228*i**3 + 3*i**2 + 101. Let q(d) = 3*m(d) + 5*v(d). Find the third derivative of q(o) wrt o.\nAnswer: 144*o - 684","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -101587, -180930, -260261, -339574, -418863?\nAnswer: -498122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31, -356, -1001, -1904?\nAnswer: -3065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*h**4 - h**4 + 6*h**4)*(2511 - 4989 + 2125) in the form v*h**2 + t*h**4 + s + w*h + c*h**3 and give t.\nAnswer: -706","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*c - 37*c + 168 = 25*c for c.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 191428?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.07 - 3. Let b = 29.27 - 29. Let a = b - l. Which is smaller: 3\/4 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -161822, -161810, -161792, -161768?\n\"Answer: 3*b**2 + 3*b - 161828","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5139483872?\nAnswer: 2, 269, 597059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + n - 9, -3*j + 2*n + 52 = -0*n. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 320.0968 litres?\nAnswer: 320096.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10349617 to the nearest integer?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 j, and 1 v when three letters picked without replacement from {q: 1, v: 2, w: 6, j: 3}?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -18*((-32)\/(-6))\/(-4). Let v = 35 - k. What is the third derivative of 3*z**4 + v*z**3 + 2*z**2 - 11*z**3 wrt z?\nAnswer: 72*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -31*b**3*n**2 - 5096*b**3*n*v + 4*b**2*n**2*v - 11888*b*v wrt b.\nAnswer: -186*n**2 - 30576*n*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -2*r. Let d(o) = 1570*o**2. Determine y(d(i)).\nAnswer: -3140*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27659 = -6*c + 35875. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xer when three letters picked without replacement from ccxcrrcce.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (-85 + 97 + -3 + -99)) + (3 - 14)\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.23 + -4.77. Which is the third smallest value? (a) 0 (b) q (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -3\/7 (b) -0.3 (c) 0.9 (d) 28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes after 6:49 AM?\nAnswer: 6:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 n when three letters picked without replacement from hpfhfffnfffpnhpff.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2228, 2275, 2322, 2369, 2416?\n\"Answer: 47*q + 2181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 54 - 50. Solve 5*c = -8 - 12, -2*c = 4*x - s for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + -6 + 1\/6*(-880)\/(-20). Factor 4\/3*y**4 + 0*y**2 + x*y**5 + y**3 + 0 + 0*y.\nAnswer: y**3*(y + 1)*(y + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6436928 by 201154.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of b**3\/6 + 8*b**2 + 5*b + 5. Let j(p) be the first derivative of x(p). What are the prime factors of j(-4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 + 5*b**2 - 6*b - 2. Let l be p(-6). Find the common denominator of -21\/4 and 99\/10 + (-1 - l).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28 - (-1 + -7 + 20 + 2)\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4093 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -441 divided by -9?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1113471 + -617162. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21 + -6. Let b be 1\/(2 - y\/9). What is the derivative of u**2 - 5*u**2 + u**2 + b wrt u?\nAnswer: -6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, -0.007, -18, 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 801\/356*83\/9*1\/(4\/(-16))\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - -2231303030?\nAnswer: 2231303100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(128)*-1*-6 - (3 + (sqrt(18) + 0)**2).\nAnswer: -21 + 48*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 2\/25, 2, -0.154 in descending order.\nAnswer: 2, 2\/25, -0.154, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*c - 3*p, -1 + 6 = -5*p. Suppose l - 88 = -l - 2*r, c = 4*l - 4*r - 200. What are the prime factors of l?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 199955 and 294.\nAnswer: 8398110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*-18*9\/675 + 326\/(-30)?\nAnswer: -29\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:45 AM and 6:17 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -106*y + 121*y + 45 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -111*r**3 + 31*r**3 + 1768*r - 1768*r.\nAnswer: -80*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19043808 and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2216778539 to four decimal places.\nAnswer: 0.2217","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 5 - 161 = -5*q, -4*i + 106 = 3*q. Suppose 2*d - u - 45 = 0, 0 = -d - u + q. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-44*(-8)\/(-88))\/((3*1)\/((-78)\/(-2236)))?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.261057102 rounded to three decimal places?\nAnswer: 1.261","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*k + 0*k - 2*k**2)*(-2*k - 4*k + 4*k) + 7*k - 7*k + 2*k**3 + (k - 3*k + k)*(2 - 2 - 3*k**2))*(-9*k + 0*k + k).\nAnswer: -72*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 + 180*g - 2833. Calculate the least common multiple of k(15) and 16*(-1 - -2)\/2.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*d + q = 14*d, -3*d = -5*q + 8. Let a = 20 - 14. Calculate the smallest common multiple of a and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11615169 divided by 283.\nAnswer: -41043","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -31342.3 or 0.13?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 36 and 48?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l + 8*l - 6*l + l.\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9.554 * 3.11.\nAnswer: -29.71294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -7*1055\/70*-10. Let y = i + 17. What are the prime factors of y?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68963 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 144\/(-15)*30\/(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h + 2. Let n(q) = -2*q**2. Calculate t(n(z)).\nAnswer: 2*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-59422)\/814 + 2575\/35?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -16*a + 21*a - 13, 2*a = 3*z + 9. Solve -2*r + 5 = a for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63487 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -9901, -9872, -9823, -9754, -9665, -9556?\n\"Answer: 10*b**2 - b - 9910","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12*t - 2*t + 5*t)*(4*t - t**2 - 4*t)*((1 + 2 - 1)*(2 + 2 - 2) - 2 + 1 - 1 - 3 - 6 - 1) as o*t**2 + i + j*t**3 + h*t and give j.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 - 8*d**2 + 12*d + 20. Suppose 0*q - q - y = 14, -5*y = q + 34. Let h be j(q). Let u(v) = -v**2 - 14*v - 10. Does 13 divide u(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 PM and 2:31 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:27 AM and 11:35 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 50, 385, 986, 1847, 2962, 4325, 5930, 7771?\n\"Answer: -c**3 + 139*c**2 - 75*c - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -2*s + 7. Let x be d(6). Let k = 7 + -3. Sort -1, k, x in decreasing order.\nAnswer: k, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 1. Let f(h) be the second derivative of h**4\/4 - 7*h**3\/3 - 3*h**2\/2 - 35*h + 2. Let m be f(5). Solve m*l + 6 = -y*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 7\/269?\nAnswer: 7\/269","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 870286?\nAnswer: 2, 435143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -102, -100, -100, -102, -106, -112?\n\"Answer: -g**2 + 5*g - 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 395 - 391. Suppose 3*b = 5*v - 3497, -2*v - v + 2075 = f*b. Calculate the highest common divisor of v and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 292.243226 + -0.053226. Let o = s + -292. Put o, -1, -5 in descending order.\nAnswer: o, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 - (-4)\/((-4)\/(-3)). Let m(b) be the second derivative of b + 1\/2*b**2 + 0 - 1\/6*b**f - 1\/20*b**5 + 1\/3*b**3. Calculate m(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -1546*g**3 - 2*g - 2. Let s be a(-1). Suppose -15*o + 7066 - s = 0. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 22*t. Let n(u) = -18*u. Determine q(n(k)).\nAnswer: -396*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 935 = -5*v, -3*v - 3*o - 555 = -0*o. Let x = 2092\/11 + v. Let h = 44\/93 - -6\/31. What is the nearest to h in -2\/15, x, -5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/8 in 2, -0.3, -49, -2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -100157 * 0.13.\nAnswer: -13020.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 228 = -16*g + 68. Let u(l) = -l**3 + 2*l**2 + 5*l - 3. Let q be u(3). Let z be 1*q\/((-6)\/g). Solve 0 = 3*n - z*n - 10 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in fifteen quarters of a kilometer?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -161\/270 and 11\/39.\nAnswer: 3510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 3*z = -6*z + 16, z - 7 = -2*v. Suppose v*q = 4*f - 49, f - 6*f + 2*q + 40 = 0. What are the prime factors of 1855\/28 + f\/8?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes before 6:29 AM?\nAnswer: 12:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 20000 (base 3) to base 4\nAnswer: 2202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7127 - 3556 + 138*y**2 - 3570.\nAnswer: 138*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 4*d + 5*c + 31, -5*d = c - 103. Solve 4 = -5*v - d for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -146*s - 13*s - 76*s - 10670 = -41*s for s.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 85 = 2*q - 6, 2*q - 97 = 3*f. Calculate the remainder when q is divided by 34\/(-51)*(-174)\/4.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 418 and 342?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*2*sqrt(77) - sqrt(77) - sqrt(77) - -2*1*sqrt(77))\/((sqrt(88) - -3*1*sqrt(88))\/sqrt(8)))**2.\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -7*b + 4*b. Suppose 0 = -3*q - 3 + 9. Solve -q*i + b = -6 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1805*d**2 + 19000*d - 50000.\nAnswer: -5*(19*d - 100)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-1*sqrt(133) + -2*(sqrt(133) + sqrt(133) + (sqrt(133) - (sqrt(133) - -2*sqrt(133))) + sqrt(133)))\/(-1*5*(sqrt(7) - sqrt(7)*-4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 3:04 AM?\nAnswer: 7:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*l*n**2 + 3*l*n - 3369*l + 1691066*n**2 + 27*n + 3 wrt n?\nAnswer: -14*l + 3382132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1042, 3, -3, -2, -32 in decreasing order.\nAnswer: 1042, 3, -2, -3, -5, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 545*p - 566*p + 483. Calculate the remainder when 303 is divided by p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.4244875 rounded to 0 decimal places?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-21)\/(-2))\/7*760. Let x be (-4)\/(-26) - g\/(-195). Suppose x*t - 192 = -24. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 13 = 7. Suppose -4*a + b*w - 8 = -3*a, 0 = -3*a - 2*w + 18. Suppose 4*n = -3*v - 4 - a, -2*v = n - 3. What is the nearest to 0 in 5, -0.1, v?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 146734841 and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 46934530 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:38 AM and 2:17 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1 and 19?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -71150268 and -0.25?\nAnswer: 71150267.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.3 + -0.3. Let z = -150.6709 + 150.5. Let f = -0.0291 + z. What is the biggest value in -0.05, q, f?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -2*c**3\/9 + 5425010*c**2\/9 - 10850014*c\/9 + 5425006\/9 = 0?\nAnswer: 1, 2712503","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 1 - (21 + -8 + -13)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 14*(-44)\/(-231)*(-3)\/2. Is 0\/j + -3 - -255 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence we when two letters picked without replacement from {b: 4, f: 1, w: 10, x: 1, e: 4}?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24*22\/12936)\/((-1)\/(14\/(-1)))?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 1399 = a - 1881, -2*c + 1668 = 4*a. Calculate the remainder when c is divided by 92.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2 + 7*w + 2. Let n be a(7). Suppose 3*z + 3*k - 9 = 0, 0*z - z + n*k - 9 = 0. Let f be (-8)\/(-6) - z\/(-3). Which is bigger: 2 or f?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:20 AM and 5:46 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 390 = 11*p - 50. Suppose 31 = -p*n + 41*n. Calculate the remainder when n is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 16175 and 0.4.\nAnswer: 6470","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.03, 2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (33*w**3 - 1724*w**3 - 1404*w**3)*(-3*w - 3*w + 5*w) as x*w**2 + o*w**3 + b*w + y + h*w**4 and give h.\nAnswer: 3095","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -65*i**2 - 24*i**2 + 15*i**2 - 51*i**6 wrt i?\nAnswer: -6120*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in twenty-one halves of a microgram?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 12:36 AM?\nAnswer: 5:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n**4 - 1045*n**3 - 23365*n**2 + 77485*n - 53070 = 0. Calculate n.\nAnswer: -183, -29, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -61099\/7239640 - -123\/6008. What is the common denominator of d and -13\/6?\nAnswer: 7230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 110781 divided by 1119\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 11997556 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/15, 6\/131, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + -6. Let a be (2\/(j\/3))\/1. What is the nearest to -3 in a, 0, 0.3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1352696800 to the power of 1\/2, to the nearest integer?\nAnswer: 36779","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -939330*q + 506200 wrt q.\nAnswer: -939330","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -12*s - 2. Let b be z(4). Find the common denominator of -1 - -20*(-3)\/(-9) and 6\/3 + b\/(-22).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 0.1, -32\/7?\nAnswer: -32\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 212 divide 2400476?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -922 + 2140 = 42*g for g.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9 by -3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 12954?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (50*y - 39*y - 26*y)*(0*y - y**2 + 0*y).\nAnswer: 15*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -37589*o + 60194?\nAnswer: -37589","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 + 9*w**2 + 24*w - 18. What is z(11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add -4.2 and 0.1336021.\nAnswer: -4.0663979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1511 (base 11) in base 10?\nAnswer: 1948","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*j + 5*j + 0*j)*(-4 + 1 + 4) - 1 + 1 + j + (9 - 31 + 9)*(-5*j + 0*j + j) as s + t*j and give t.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -0.023, 1\/6, 1.5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -10*z**4 - 6*z**3 - 6*z**2 + 15. Let f(j) = -9*j**4 - 7*j**3 - 7*j**2 + 15. Let q(d) = 7*a(d) - 6*f(d). What is the derivative of q(r) wrt r?\nAnswer: -64*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 444005238 a multiple of 334?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78 = -h + 4*p + 116, 2*h = -5*p + 388. Suppose -5*k + h = -3*k. Let j = 100 - k. Solve 4*i = -j + 7 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o + 4*o = 30. Find the third derivative of 32*z**2 + 20 - 39 - 2*z**o + 21 + 73*z**4 - 19*z**4 wrt z.\nAnswer: 1296*z - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 3*x + 50 = 0, 2 = w + x - 0. Find the first derivative of -o + w - 2*o - o wrt o.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c**(-3)\/c*c))\/c)\/c**(-2\/11))\/(c*c**0*c*c*c\/(c\/(c*c\/(c**1\/c))))*(c**1\/c)**46*(c\/(c*c**(1\/3)))**(2\/33) assuming c is positive.\nAnswer: c**(-182\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 68 and 205748.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/286 and -5\/11?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 5*g - 398, 3*r = -0*g - 4*g + 324. Let l be 52\/g + 13\/3. What is the second derivative of -6*f**l - f**5 + 7*f - f wrt f?\nAnswer: -140*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:44 PM and 8:56 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + 4, 2*s + 5*z - 15 + 1 = 0. Suppose 0*v + s*v = 1370. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10112002220 (base 3) to base 2.\nAnswer: -10000111011010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (126 - 41*x - 126)*(5 - 2 - 1)*(-186*x**2 + 81*x**2 + 90*x**2).\nAnswer: 1230*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 135 or 22?\nAnswer: 135","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6*(-3)\/(-12)*(-10)\/(-3). Solve -14 = -y*u + 6 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-1)\/(-3)*3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5035 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 450 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 2470 = -2*l, -2*s + 4124 = -7*s + 4*l. Let f = -555 - s. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = 16, -38*k + 5*d + 20 = -35*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 198 - 196. Let f be 6805\/25 + x\/20*-2. Calculate the highest common factor of f and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -115 - (44 + -163) - (1 - 45).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -11*u**2 - 2. Let b(k) = -5*k**2 - 1. Let i be ((-3)\/9)\/(-1)*42. Suppose -3*p = -p + i. Calculate p*b(l) + 3*t(l).\nAnswer: 2*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 64468801 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 231.446 + 4.554. Which is the biggest value? (a) -2\/3 (b) j (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2520323326 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggggg. What is prob of picking 2 g?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yggggggyyyygggyy. What is prob of sequence yyyg?\nAnswer: 9\/208","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 115 + -151. Calculate the common denominator of -4 + 291\/n + (-1)\/4 and 73\/36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times -224390?\nAnswer: 112195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 165276705?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/7)\/x**3)**(-2\/7)\/(x\/x**(4\/5)*x**(-1\/6)*x*((x*x**(-2\/3)*x)\/x)\/(x\/x**(-1\/2))) assuming x is positive.\nAnswer: x**(788\/735)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 33 * 0.5\nAnswer: 16.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 107015670 (base 8) to base 4\nAnswer: 1013001232320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -761, -3 in ascending order.\nAnswer: -761, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes before 10:26 PM?\nAnswer: 11:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 24.7? (a) -1\/6 (b) -0.2 (c) -4 (d) 1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3161?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1282, -1275, -1254, -1213, -1146, -1047, -910?\nAnswer: -729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -48 + -29 + (3 - -20).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b62 - 2?\nAnswer: b60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express h**3 + 0*h**2 + 2*h + h**2 - 2*h**3 in the form a*h + x + m*h**2 + y*h**3 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -c (base 14) to base 3\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 70221446 and 14?\nAnswer: 491550122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 16 = 9. Solve 3*m - 2*j + 1 = -0*j, -3*m - j + v = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 3*h. Let j(w) = -206*w**2 + w. Give o(j(y)).\nAnswer: -618*y**2 + 3*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18757.\nAnswer: 18757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 1:00 PM?\nAnswer: 3:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 2*o = -0*o - 14, -2*m = -5*o + 21. Let l(u) be the second derivative of -11\/3*u**3 + 0 - 8*u + 0*u**m. Let w(k) = k. Determine l(w(z)).\nAnswer: -22*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 1214*t**3 + 44*t - 44. What is the units digit of v(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -168012, -168004, -167994, -167982, -167968, -167952, -167934?\n\"Answer: f**2 + 5*f - 168018","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 157 + -141. Suppose -a*h + 6*h + 5200 = 0. Does 25 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the third derivative of -11\/60*t**6 + 0*t**4 + 2*t**2 + 0*t - 1\/6*t**3 + 0 + 1\/60*t**5. Calculate the remainder when q(-1) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 791606 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 5618510.15 to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -268*z - 119172. What is l(-443)?\nAnswer: -448","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -9b - -1?\nAnswer: -9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/5 of a century?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 356401 and 445607.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o = 4 + 24. Which is the third smallest value? (a) 0.2 (b) o (c) -0.3 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1334 divided by 46?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/19 in 5, 0.2935, -6?\nAnswer: 0.2935","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**2 - 259*b + 513. Let p be g(2). Let r(f) = -7*f. Let n be r(1). Which is greater: p or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 345 and 635.\nAnswer: 43815","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.5 + -0.5. Let k be ((-1)\/(-2) - 0)*-2. Let v = -1 - -0.8. Which is the closest to k? (a) v (b) i (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0626049 rounded to 3 dps?\nAnswer: -0.063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -6748 (base 10) in base 6?\nAnswer: -51124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -2*d**2 - 398*d + 801. Give v(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3432761 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + -32 - (23 + 2 + -25).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000993864178 to six decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 30 + 21. Let k = y - 24. Let f = -4 - k. Does 3 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c - 2*c**2 + 3*c)*(130*c + 7634*c**2 - 37*c - 38*c - 55*c).\nAnswer: -15268*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 - -3)*2\/5. Suppose 0 = 3*m - 2*l - 16, -b*l + 0 = 4*m + 2. Suppose m*j - 45 = -j. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 2*j - 6, -v + 4*j + 4 = 16. Let b = -13 + 9. What is the closest to 0 in v, -0.5, b?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -7*i + 6. Let k(f) be the first derivative of f**4\/4 - 5*f**3 - f**2\/2 + 8*f - 3. Let b be k(15). What is the tens digit of g(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 195910485?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a litre in millilitres?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -3 (b) 162 (c) -1\/3 (d) -7\/5 (e) 1\/5 (f) -2 (g) 311\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 - -3)*19\/(-3). Is (2 - 0 - 3)*h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 551 - -2?\nAnswer: 553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange w - w - w + (23*w - 99 + 99)*(10 + 8 - 3) to the form d + v*w and give v.\nAnswer: 344","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*z**4\/3 + 6200*z**3\/3 + 74714*z**2\/3 - 80912*z\/3 = 0. What is z?\nAnswer: -13, 0, 1, 3112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2638 = -2*f + 2*g, 3*f + 1782 - 5763 = -g. What is the least common multiple of f and 10?\nAnswer: 2650","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 447 minutes before 5:14 AM?\nAnswer: 9:47 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.18 - 0.2632. Let q = j - -0.457. Round q to three decimal places.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*((-1645)\/47 + -8*(-3)\/6). Solve -4*b + i = 17, 5*i - 3*i = -5*b - n for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l - 2. Let f be d(2). Let r be (-15)\/3 + 2 + f. Put -5, r, -4 in descending order.\nAnswer: r, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 3*x = -2*t - 423, -231 = 2*t - 5*x. What is the common denominator of -63\/16 and 21\/20*((-75)\/t)\/5?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -416081114 and -142?\nAnswer: 416080972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*a - 6*a = 10230. Is a a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -221872, 2 in decreasing order.\nAnswer: 2, -4, -221872","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.0463 - 3.9537. Let u = -144\/455 - -2\/65. What is the biggest value in -4\/7, u, w?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 186526 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -228 or -227?\nAnswer: -227","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4 - 1)*(-1 - 0). Let z be (x\/(75\/(-6)))\/2. Which is smaller: 1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the second derivative of u**8\/336 + u**7\/105 - u**6\/120 - u**5\/30 - u**2 + 2*u. Let f(r) be the first derivative of m(r). Factor f(q).\nAnswer: q**2*(q - 1)*(q + 1)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -9*h**3 + h**2 - 3*h + 4. Let p(w) = 19*w**3 - 2*w**2 + 7*w - 7. Calculate 7*i(d) + 3*p(d).\nAnswer: -6*d**3 + d**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1852 is divided by 23.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 6*w - 2. Let o(p) = -7*p + 1. Suppose 2*i - i + 5*t + 10 = 0, 5*t + 15 = 0. Let s(c) = i*m(c) + 4*o(c). What is the units digit of s(10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 0*w = w + 20, 0 = -l + 4*w + 23. Let j be l\/((-4)\/(24\/(-9))). Does 8 divide 17\/1 - (-1 + j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -617, -619, -621, -623?\n\"Answer: -2*i - 615","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 37, 17 in decreasing order.\nAnswer: 37, 17, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(228)*-1*5)\/(sqrt(48)\/sqrt(4)*-4) + 5.\nAnswer: 3 + 5*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 - 43*z**2 - 421*z - 28. Let d be i(-28). Suppose 0 = -2*p + 8. Suppose 3*l = -5*w + 47, l + 5 = p*w - 2. Solve 3*m - l = -d*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 51, 36, 11, -30, -93, -184, -309?\nAnswer: -474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 4 and 673560402269?\nAnswer: 673560402265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -24.5, 2, -6\/13, 2779, -25 in descending order.\nAnswer: 2779, 2, -6\/13, -24.5, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.72034305 rounded to one dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*x - 391 = 36*x. Suppose 22*h - 4*k + 250 = x*h, -4*h = -2*k - 1000. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*r - 61*r**2 + 3*r - r**3 + 3*r**4 + r**4 - r + 77*r**2 in the form t + y*r**3 + h*r + s*r**4 + j*r**2 and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, d: 1, f: 4, e: 2, b: 2}. What is prob of sequence dff?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -119*r**2 + 35*r**3 + 119*r**2.\nAnswer: 35*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -267, -233, -169, -69, 73?\n\"Answer: m**3 + 9*m**2 - 277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 152, 92, -10, -154, -340?\n\"Answer: -21*y**2 + 3*y + 170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*u + 5*u - 30. Suppose y - u = -y. Factor -1\/3*g**2 + 2\/3*g**y + 0*g + 0 - 1\/3*g**4.\nAnswer: -g**2*(g - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 332 a factor of 5146421?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1486.4 + 1469. Are 1 and z equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w = 2*w + 10. Suppose -w*p + 7 + 9 = 0. Suppose -5*j + p*j = 1542. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**2 + f**3 - f + 8*f - 3*f + 2*f**3 - 1 - 3. Let q(c) = c**3 + c - 1. What is 4*q(j) - x(j)?\nAnswer: j**3 + j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 112741 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/(-400))\/((-186)\/(-6944)*28)?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49941 = -4*l - 27*l. What are the prime factors of l?\nAnswer: 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 + 5*m**2 + 2*m. Let p be i(-3). Let y be (p - 7) + -3 + 0. Find the third derivative of -o**3 - o**2 + 4*o**y - 2*o**3 wrt o.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 65*g**2 + 84*g**2 + 28*g**2 - g + 6861 + 6859 - 13730 to the form n*g**2 + m*g + x and give n.\nAnswer: 177","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -779050 divided by -31162\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1719 times 3?\nAnswer: 5157","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 405 + -403. Which is the third smallest value? (a) u (b) 3 (c) 4 (d) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (11\/((-33)\/(-60)))\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1657833 and 0.74.\nAnswer: 1226796.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + 110?\nAnswer: 10e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of 4*a**6\/45 - 34*a**3\/3 - 29. Let y(p) be the third derivative of f(p). Let c(i) = -2*i**2. Give y(c(w)).\nAnswer: 128*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the third derivative of -8*y**2 + 1\/12*y**5 + 0*y**3 + 0*y + 0*y**6 - 1\/210*y**7 + 0 + 0*y**4. Find the third derivative of z(q) wrt q.\nAnswer: -24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 248 - 55. Let o = -238 + a. Is -45 smaller than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 4*k, -o - o = -3*k + 2. Let n(g) be the second derivative of 1\/6*g**4 + g**k - 2\/3*g**3 + 26*g + 0. Factor n(x).\nAnswer: 2*(x - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 49*c - 16*c - 11*c - 603658. List the prime factors of c.\nAnswer: 23, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - a - 12 = 3*v, 2*v + a + 7 = 0. Let m = -3714 + 3716. What is the remainder when 59 is divided by (m*2)\/(v + 96\/18)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + -2. Let n = -216 - -216.0204. Let l = 5.0204 - n. Which is the biggest value? (a) z (b) l (c) -4 (d) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - -15. Let t = m - 16. Suppose -130 = -t*u - 2*u. Is u a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-189)\/(-24) - (22 - 11 - 3). Let u(n) = -n + 9. Let k be u(8). What is the nearest to -2 in z, k, 3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**11*n*n**8)\/(n**(3\/7))**(5\/12) assuming n is positive.\nAnswer: n**(583\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 525.6102 rounded to the nearest integer?\nAnswer: 526","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*b**3 + 109155*b + 237385 wrt b?\nAnswer: -9*b**2 + 109155","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 327 and 6.\nAnswer: 654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4)\/(-5) + 0)*5. Let a be -2 + -1 + 3 + 0. Suppose -j*o + a*o + 44 = 2*y, 5*y = -3*o + 103. What is the remainder when y is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26 and 9815.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence li when two letters picked without replacement from {i: 2, l: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 6:49 PM?\nAnswer: 8:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((123488\/(-908))\/((-24)\/5))\/(5\/(-9))?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gfgggfggggggfgg. What is prob of picking 1 f and 2 g?\nAnswer: 198\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75129.\nAnswer: 3, 79, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -17967*j**2*o**4 - j**2*o**2 + 29*j**2 + 933*j wrt o?\nAnswer: -71868*j**2*o**3 - 2*j**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 times 0.14601?\nAnswer: 2.77419","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -12 - 206?\nAnswer: -218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uumm when four letters picked without replacement from {k: 3, u: 2, t: 3, m: 3, i: 3}?\nAnswer: 1\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1*(42\/6 - 18) - -4\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (11\/(-33))\/((-2)\/(-15))*24. Which is smaller: -56 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 241059.24 minutes?\nAnswer: 167.40225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2026, -2205, -2504, -2923, -3462?\n\"Answer: -60*k**2 + k - 1967","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-45)\/(-42)*4\/10?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110)*-2 + sqrt(110) - sqrt(110))*-6 - (-2*sqrt(110)*-1 + sqrt(110)))\/((sqrt(90)*2)\/sqrt(9) - (sqrt(810) - -2*sqrt(810))).\nAnswer: -9*sqrt(11)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.103 + -2.21. Let g = d - -0.10591. Round g to four decimal places.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6220600 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 85 - -645. What is the hundreds digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2222*k**2 + 173192*k + 9672.\nAnswer: -2*(k - 78)*(1111*k + 62)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*l + 64 - 3*l - 62 - l**3 + 2*l**2 - 2*l**4 to b*l + q*l**2 + f*l**4 + w*l**3 + j and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 3*o**3 + 3*o**2 + 2*o + 3. Let c(m) = 2*m**2 - 11*m + 8. Let l be c(5). Let k(g) = 6*g**3 + 7*g**2 + 4*g + 7. Calculate l*k(v) - 7*y(v).\nAnswer: -3*v**3 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 4*y, -2190*y + 4376*y = -5*w + 2185*y + 110 for w.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10898621 - -37539.\nAnswer: 10936160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes before 9:13 AM?\nAnswer: 4:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -15 times 7.58988\nAnswer: -113.8482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -555 + 1097 - 546 + 84*t as j + r*t and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2032566 and 12?\nAnswer: 4065132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the third derivative of -1\/30*y**4 + 0 + 1\/15*y**3 + 0*y**5 + 1\/150*y**6 - 1\/525*y**7 + 0*y + 13*y**2. Determine n, given that i(n) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5750 = 4*k - 3*b, k + b - 501 = 933. Let i = k - 942. What are the prime factors of i?\nAnswer: 2, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 - 15*k**2 + 23*k + 10. Determine r(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 + 1 - (-1)\/(-1)*0. Suppose 0*g + 4*g = 0. Suppose g = -3*v + s + 1. Let h(x) = 5*x. Calculate h(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -233645 divided by -46729?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -643 - 235*j**3 + 643 + (-j**2 + j**2 + j**2)*(14*j - 158 + 158).\nAnswer: -221*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 48.5981 times -0.1?\nAnswer: -4.85981","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -52262 divided by -33\nAnswer: 52262\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 greater than 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -4185 + 190. Let z = g - -1484. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 + 11*i - 2. What is r(-11)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 + 5*p**2 - 2*p + 4. Calculate m(-6).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 270 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1843812955 to the nearest integer?\nAnswer: 42940","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -9a - -299304?\nAnswer: 299226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -d - -54188?\nAnswer: 54179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 4*z**2 + 17. Let r(v) = 10*v**2 + 14*v - 7. Let c(f) = -3*f**2 - 4*f + 2. Let q(k) = -21*c(k) - 6*r(k). Calculate q(b(l)).\nAnswer: 48*l**4 + 408*l**2 + 867","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.8415 - -1.24. Let g = -0.6 - q. Round g to three dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70584216.\nAnswer: 2, 3, 163, 18043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38105.\nAnswer: 5, 7621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -29294831.17 minus 4?\nAnswer: -29294835.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 790241155 and 1595.\nAnswer: 1595","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*f = 11*f + 4. Solve f*b + 2*t - 2 = 0, -4*t = -t for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -774 + 777. Let l(f) be the first derivative of 4 - 3*f**2 - 2\/3*f**g - 4*f. Factor l(b).\nAnswer: -2*(b + 1)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -90*d - 12. Let f be g(-4). Suppose -358*x = -f*x - 9330. What are the prime factors of x?\nAnswer: 3, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -2\/3, -98, -2\/7, 736\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times -5181\nAnswer: 518.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of -19*d**2 + 1\/15*d**5 + 0*d**3 + 0 + 0*d + 0*d**4. Let w(h) = 3*h - 2*h - 2*h. Calculate n(w(i)).\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 - (1 - 3\/(36\/(-32))). Which is the closest to -2? (a) m (b) 0.4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -62 - 14*v - 2*v**3 + v**3 + 10*v**2 - 78 + 171. Determine i(9).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**2 + 10*z - 13. What is o(10)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a decade in months?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 19489 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 - 12*d**2 + 15*d + 70. Let z be r(13). Let j = 436 - z. What is the lowest common multiple of j and 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -41394 - -41393.999967981. What is d rounded to seven dps?\nAnswer: -0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -95 - -0.112\nAnswer: -94.888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -202*z**2 - 2*z**4 - z**3 - 1 + 202*z**2 as t*z**4 + h*z**2 + q*z**3 + w*z + i and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 + 3 + 6 + -8. Let j(b) = 6 + 4*b**3 + b - 6 - a*b. Determine j(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 33*v**2 - v. Suppose -3*j = 2*j - 5. What are the prime factors of f(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/6)\/(((-4440)\/(-1184))\/((-18)\/(-112))).\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 6*m = c - 1, 4*m + 2*c - 10 = 0. Suppose 6*o = 7*o - m. Let q be o*-15*-10*-260. What is q rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 489 or 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11.3 - -11.7. Let t = 23.29 - x. Let y = -1.5 - -0.5. Are y and t unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-6) + -4 + (-94)\/3. Let g = -102 - r. Let f = g + 111. What are the prime factors of f?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 106*i - 1278. Let v be j(12). Which is the closest to -1\/2? (a) v (b) 0.04 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 4*g = 8, -2*g = -3*t - 0*g + 4. Let n = -416 + 833\/2. Which is the second smallest value? (a) 2\/9 (b) t (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -38270.64796 rounded to the nearest 1000?\nAnswer: -38000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*j**3 - 79*j + 398*j + j**3 + 4*j**3.\nAnswer: j**3 + 319*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 14*w + 4. Let n be r(3). Let g = -32 + n. Suppose 0 = 4*q - h - 17, 5*h + 3 + g = 3*q. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o + 2*s - 8, 5*o + 7*s - 8 = 4*s. Solve 7174*l**o - 4*l + 16 - 7172*l**4 + 7*l**3 - 3*l**3 - 18*l**2 = 0 for l.\nAnswer: -4, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55193 = -1544*w - 1367*w - 338*w - 142996 for w.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - i + 1 = 11, -5*y - 2*i = -25. Suppose -3*a + 6*a = -4*u, -3*u + 5*a + 29 = 0. Let g be (-4)\/2 + 1 - -4. Solve -o + u*o = 4*j, y*o = g*j for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-1))**20)**43*((f**(-5)\/f)\/f*f**(-1\/12))**29 assuming f is positive.\nAnswer: f**(-12785\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 928 and 1399904.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 41.9 - 40.9. Which is the closest to 1\/3? (a) -2\/9 (b) s (c) -0.2 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(-3)*(-1380)\/(-161)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -3*p + 2. Let m(o) = -4*o**2 - 7*o - 13. Calculate 3*k(w) - m(w).\nAnswer: 4*w**2 - 2*w + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 933 + 1301 = 2*t. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 AM and 2:46 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1400683*y - 582968 wrt y.\nAnswer: 1400683","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*f = 3959 - 12247. What is the highest common divisor of 96 and f?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5380296 a multiple of 102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 232922?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*r = -17 - 63 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 + 9*n**2 + n + 3. Suppose -4*b = 5*s - 47, 128*s = 5*b + 132*s - 52. Give k(b).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 3*i + g, -1827796*g = -2*i - 1827794*g + 4 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 346, 348, 350?\n\"Answer: 2*t + 344","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 41\/2 of a gram in milligrams?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1080 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 4*a**4 + 1672*a**3 + 198004*a**2 + 4865520*a + 33872400 = 0.\nAnswer: -194, -15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 5*c**2. Determine x(2).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 361 (b) -5\/318 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k**3 + 31225*k**2 + 1901232*k + 7105392 = 0. Calculate k.\nAnswer: -31164, -57, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8754*s + 3*s**2 - 8754*s - 17*s**2.\nAnswer: -14*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3394*g - 2950*g - 11544 for g.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2746519 and 4330?\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -4*x - 8, 6*s - 36*x - 10 = -31*x. Solve 4*d - 16 = -10*g + 6*g, g - 2*d - 7 = s for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(3) - -2*sqrt(3)))*-4 + ((sqrt(243) + 1 + sqrt(243))*6)**2.\nAnswer: 1284*sqrt(3) + 35040","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1212*l**2 + l + 1212*l**2 - 2406*l**2 - l.\nAnswer: 18*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/(-108))\/((-2)\/(-8))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gvqgvvadavvggvggg. Give prob of picking 2 g.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 137067?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 - 4*c**2 - 2*c + 22. Let s be j(0). Suppose -s = 2*r - 46. Solve 4*m = r - 8 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -14283*n**3 + 200376*n**2 - 5799*n + 42 = 0.\nAnswer: 1\/69, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 50 + (-3 - (-31 + 66))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17 + 14.9. Let l = m + 0.1. Which is the second smallest value? (a) l (b) 0.2 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -77819.9 rounded to the nearest 10000?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 - ((-357)\/(-27) + 2\/(-9)). Let t(y) = -y**3 - 14*y**2 + 34*y + 34. Let p be t(w). Solve g + 11 = p*g + 5*h, -2*g + 2*h - 2 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3\/4 - 345*s**2\/4 + 39675*s\/4 - 1520875\/4.\nAnswer: (s - 115)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 1:17 AM?\nAnswer: 2:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-148*q**3 - 21829*q**2 + 21829*q**2)*(q**2 + 5 - 5) + (0*q**2 + q**2 - 2*q**2)*(-12*q**2 + 12*q**2 + 6*q**3) + 4*q**5 - 6*q**5 + q**5.\nAnswer: -155*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in eleven quarters of a kilogram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -406 + 2266 = 4*r + 3*m, -2*r - 2*m + 932 = 0. Let g = -327 + r. Calculate the greatest common divisor of 54 and g.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3188.\nAnswer: 2, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (14\/(-42)*45\/(-5))\/(-1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the second derivative of -y**3\/3 + 20*y. Calculate a(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + w - 74, -3*w - 2*w = -4*q + 148. Calculate the remainder when 72 is divided by q.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-2))\/(10*8\/(-32))\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2296 to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b - 5 + 1 + 1. Let u be a(3). Solve 2*t - 6*t - 8 = u for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-39 - 19*p + 39)*(-3 + 4*p + 3) + (-3*p + 2*p + 0*p)*(-8 - p + 8).\nAnswer: -75*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.10922*14227.\nAnswer: 1553.87294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 + 1 = 5*k. Suppose -4*c + 7 = -0*c + a, 4*a = c - k. Suppose 7*x - c*x - 10 = 0. Sort 3, 4, x in ascending order.\nAnswer: x, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -5*f**2 + 4*f + 19. Let o be n(-2). Let u(l) = -l**2 + l + 86. Let j be u(o). Let s be (8\/66)\/(2\/3). Put s, -1, j in descending order.\nAnswer: s, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 20\/(-432)*-3*-3 and ((-80)\/6)\/5 - 0.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h + 697449 = 3*d + 4*h, -929980 = -4*d - 4*h. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2068 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/278 and 46\/5.\nAnswer: 1390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + 1)*(-15 - 10 + 168*w - 170*w)*(-5 + 5 - w**2) to g*w**3 + y + s*w + b*w**2 and give b.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 567 divided by -1?\nAnswer: -567","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-31 + 12 - 14)*(0*l**5 + 4*l**5 + 0*l**5 + (-1 + 1 + l)*(3*l**3 + l**4 - 3*l**3)).\nAnswer: -165*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + (-834)\/19 + (-83)\/((-31540)\/(-40))?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/3*f**2 - 34\/3*f + 289\/3.\nAnswer: (f - 17)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 31*g + 204. Let v(x) = -42*x - 272. Let u(w) = -11*p(w) - 8*v(w). What is u(-13)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -4*o - 4*j - 17, 4*j = 2*o + 28. What are the prime factors of o\/2*1 + 219?\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**8\/(y*y**(1\/3)\/y))\/(y\/y**1)**(5\/8) assuming y is positive.\nAnswer: y**(23\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 - 10*m**2 - 2*m - 18. Let x be f(-10). Suppose -u - 4 = -4*h - 5*u, 3*h = 2*u - x. Solve -t + h*t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2200\/125 + -19)\/(1\/(-5))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*((-2)\/1)\/2. Let z be y*(1 + 1)*-2. Let l = 16 - 14. Solve -l*o = z*u - 6*o - 4, u = -4*o + 16 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 585426601?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -24750121341125*a**2 - 22248650*a - 5.\nAnswer: -5*(2224865*a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 3*t = -12, 10*t = -u + 14*t + 16. Let v(b) be the second derivative of 0*b**3 - 14*b + u*b**4 - 2\/15*b**6 - 2\/5*b**5 + 0 + 0*b**2. Factor v(y).\nAnswer: -4*y**3*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.7 * -0.3248.\nAnswer: -0.22736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5)\/(-2)*(-9)\/(-30). Let l = -0.2 - -3.2. Which is the smallest value? (a) t (b) l (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -2*v + 7, 3*v = -5*p + 2*v + 11. Solve 0 = p*u - 9, -2*a = -4*u + 3*u + 7 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a day in hours?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*h + 2205 = 65*h + 11*h. Let a(i) be the third derivative of i**5\/30 - i**4\/24 + i**3\/6 - i**2. Let o be a(1). Solve 3*m + h = -o*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = a + 23*a - 533 - 1313 + 334 for a.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13, 37, 83, 157, 265, 413?\nAnswer: 607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - -1) + 11 + 3. Suppose -3*y = -8*x + 3*x - n, 5*x = -5*y. Let a = -3222 + 3235. Solve 5*c = -y - a for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*z**4 + 3*z**3 + 67*z**2 - 273*z + 123975 wrt z.\nAnswer: -8*z**3 + 9*z**2 + 134*z - 273","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 104*d**2 + 2*d. List the prime factors of j(1).\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(28\/(-12) + 2). Let o be -2 - (-2 + s + -3). Suppose 5*b = o*b - 6400. Round b to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate x**4 + 485*x**2 + 7*x - 6240.\nAnswer: 4*x**3 + 970*x + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + -19 + 5 + 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -42 + 214\/5. Let k be ((-6)\/(-248))\/((-28)\/144). Let r = -5\/31 + k. What is the nearest to 1 in r, h, 0.3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 502 - 489. Solve b*j - 16*j = 12 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 158 = 14*i - 24. Let r(s) = -4*s**2 + 18*s + 13. Let j be r(i). Let n be (-1209)\/j + 1\/11*2. Solve 3*v + 0 = n*p - 6, -4*p - v - 7 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 92 and 66884.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dxho when four letters picked without replacement from xshooooxhohdoix?\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 34\/771 - -20923\/9252. Let m = 2\/37027 - -2628701\/3998916. Calculate the common denominator of u and m.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6 - -6555477?\nAnswer: 6555484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 + -23 + 33 + -35?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -5*v - 14 + 100, -c - 3*v + 94 = 0. Is 20 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -65 (b) 0.1 (c) -138 (d) 122\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -121, -120, -119, -118, -117?\n\"Answer: v - 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 10 = 2*a, 4*a + 48 = 4*p. Let l = -6 + p. Suppose l*j = 3*f - 9 + 39, 11 = j + f. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17 + -2. Suppose 4*q + 68 = -p - 3*p, 5*p + 3*q + 81 = 0. Let n = m + p. Solve n = d + d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 532290005.\nAnswer: 5, 13, 629929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -84141, -84154, -84181, -84228, -84301, -84406?\nAnswer: -84549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of m**2\/2 + 2988*m. Let s(g) = 12*g - 59. Let j(i) = -3*i + 15. Let c(p) = 22*j(p) + 6*s(p). Determine -c(o) - 24*r(o).\nAnswer: -6*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -7 + 1 + 2*s - 7*s**2 + 2*s**3 - s**3 - 2. Is k(7) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -2*u**2 - 2466*u - 111486. Give l(-47).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-2*((sqrt(117)*-4 - sqrt(117))*1*-3)**2*-3.\nAnswer: -473850","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence in when two letters picked without replacement from ninhhihhn?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -aca516 (base 13) to base 8.\nAnswer: -17435640","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4\/6)\/(-2)*3. Suppose 1 = -2*q + 2*h + 15, -6 = 2*h. Let w = q + g. Solve r - 9 = -w*c, -19 = r + 2*c - 6*c for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 219856647?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 22526476*j**3 + 5680133?\nAnswer: 67579428*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-7) - 8*95\/(-35). Let t(d) = -2*d + 52. Let y be t(i). Is (2595\/6)\/(((-28)\/y)\/(-7)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6748689.\nAnswer: 3, 37, 163, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*g - 8*m + 3*m - 8 = -g, 17*m - 15*m + 139 = -19*g for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1303194 is divided by 266.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*h - 5*h + 10. Find the third derivative of -h*t**2 + 3*t**4 + 26*t**2 + 11*t**4 + t**2 wrt t.\nAnswer: 336*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13351 + 322. Let k = 24480 - s. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, -26, -5, -2154.\nAnswer: -2154, -26, -5, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 15) in base 12?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/(-5)*-4*(-3)\/12\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/576 and -169\/270.\nAnswer: 8640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -309*m. Let d(r) = 3*r**2 - 4202. Determine t(d(i)).\nAnswer: -927*i**2 + 1298418","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(121)\/((-2*sqrt(1331) - sqrt(1331)) + sqrt(1331) + sqrt(1331) - sqrt(11)).\nAnswer: -sqrt(11)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80376147.\nAnswer: 3, 8930683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/154*(6 - 4)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 119, -4 in increasing order.\nAnswer: -5, -4, 119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1629, -3256, -4883?\nAnswer: -6510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30422.71 litres to millilitres.\nAnswer: 30422710","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36 - 3 - (-141 - -156)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 3*u, -u = -5*f + 3*u. Suppose f = 8*z - 10*z + 10. Solve 7*b = z*b + 6 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6505\/8 - 410351\/504. Find the common denominator of x and 36\/49.\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.007608 to four dps.\nAnswer: 0.0076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3. Let n(v) = -2*v**3 + 3*v**2 + 7*v - 6. Let s(o) = -n(o) - p(o). What is the units digit of s(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175559 to the power of 1\/2, to the nearest integer?\nAnswer: 419","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 633 + -2603\/4. Let p(o) = o**3 - 9*o**2 + 6*o - 6. Let r be p(-7). Let a = r - -5113\/6. Calculate the common denominator of a and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b\/(b**(3\/4)*b)*b*b*b\/(((b*b**(-17)*b)\/b)\/b*b) assuming b is positive.\nAnswer: b**(77\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 575 a factor of 1375082086?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11245 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*s + 3*u - 8 = -13*s, 22 = -s + 10*u for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 + (10 - -7 - 58) + -19.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 90, 122, 148, 174, 206, 250?\n\"Answer: p**3 - 9*p**2 + 52*p + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -30*o + 3. Let a(r) = -60*r + 7. Let h be 3\/(-33) - 1560\/(-220). Give h*u(i) - 3*a(i).\nAnswer: -30*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g - 40*g**4 + 11*g**4 + 11*g**4 + 2*g**2 + 3*g**4 + 0*g**4 - g**4 + (2 - 4 + 1)*(0*g**4 + 0*g**4 - g**4).\nAnswer: -15*g**4 + 2*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**2 - 222*q + 206. Let d be m(-78). Round d to the nearest 1000.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/2 (b) 2 (c) 9 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((2 - -2)\/(-16))\/((-1)\/(-3))\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k + 4. Let d be n(5). Let j(x) = -x - 1. Let l(u) = 2*u**2 - u - 1. Determine d*j(i) + l(i).\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*h**2 + 31*h**2 - 134*h**2 - 54*h**2 - 2*h**3.\nAnswer: -2*h**3 - 174*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 4680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qz when two letters picked without replacement from {q: 11, z: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 190 + -4?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6570323 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 472267 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*y**2 - 7*y**3 - 5*y**2.\nAnswer: -7*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 3*i - 1. Let h be w(1). Let f = -7 - -33. Let l be 3\/(-12) + f\/8. Solve 0*b + b = 3*p - 5, -h*p + l = -b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -35\/3548?\nAnswer: -35\/3548","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 746797249 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - 21100122?\nAnswer: -21100113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + v - 17 = 0, 4*t - 1014*v + 1009*v + 43 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -10*u**3 - 26*u**2 - 5*u - 5. Let h(q) = -5*q**3 - 13*q**2 - 3*q - 3. What is 5*h(b) - 3*l(b)?\nAnswer: 5*b**3 + 13*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21882 and 11886?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6075 and 52860600?\nAnswer: 2025","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of 2*p**3\/3 + 2*p**2 + p - 3. Is 10 a factor of s(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 PM and 1:15 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-53)\/212*-352*(-11)\/(-22).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -160 - -157. What is the common denominator of -38\/3 and ((-33)\/216)\/(p\/(-45))?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6000 a multiple of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the first derivative of 3*q**4 - 2*q**3\/3 + 3*q**2\/2 - 3*q - 3. Let j be h(2). Calculate the greatest common factor of j and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -281*i**3 + 139*i**3 + 132*i**3.\nAnswer: -10*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2 + 19630*c + 157104.\nAnswer: -(c - 19638)*(c + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 4 * 819\nAnswer: 3276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2743444374.\nAnswer: 2, 3, 11, 313, 12073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-15) - (-219)\/45. Suppose 0 = -4*j + q*j - 8. Solve -b + 3 - j = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -0.1, -36, 2\/11, -1 in decreasing order.\nAnswer: 2\/11, -0.1, -1, -2, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 298065 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -722 in 1, 4, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/(-40))\/(7\/(-140)*-12)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00048702 to 5 dps.\nAnswer: -0.00049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 408 divide 1891796?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 9233 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1574*32.\nAnswer: 50368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-294)\/286 + -3 + 4. Let g = 199\/55 - 19\/5. Let s = g - u. What is the smallest value in 2, 4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1915*g + 6 = 1912*g. Which is the closest to 0? (a) g (b) -1\/6 (c) -4 (d) -3.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 AM and 2:47 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 + 4811*b + 6*b**3 - 2395*b - 2416*b - 9.\nAnswer: 6*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 174, 138, 100, 60, 18, -26?\n\"Answer: -g**2 - 33*g + 208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -12) + 4 + -25 + 42 - 10.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -o**3 + 6*o**3 + 5*o**3 - 11 - 3*o**3 wrt o?\nAnswer: 21*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 26 - 2 = 0. Suppose -i - 23 = -d, -d - y = i + d. Let l = 35 + i. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 705193 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 70\/8*(-28)\/70. Let w = -5 - a. Let p = 1 + -3. Which is bigger: p or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n = 27.71 - 27.88. Put 117, n, 4 in increasing order.\nAnswer: n, 4, 117","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 8*f = -5*f + 16301, 3*r + 2*f = 9792. Let b(z) = -38*z**3 + 2*z**2 + r - 3262 - z. Determine b(1).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llle when four letters picked without replacement from {j: 2, b: 1, q: 5, l: 4, e: 4}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5615343, 22461357, 50538047, 89845413?\nAnswer: 140383455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(14)*2 - sqrt(14))*-1)\/(sqrt(200)*-2))**2 - -4*sqrt(56)\/(sqrt(4)\/sqrt(2)).\nAnswer: 7\/400 + 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*u + 22*u + 30 = 0. Let v be (-43)\/u - ((-28)\/3)\/(-7). Calculate the greatest common factor of v and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 2*y**2 - 5*y - 12. Calculate c(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -28 - -33. Suppose -y + i*z + 65 = 4*y, 2*z = -8. Calculate the greatest common divisor of y and 99.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4817763?\nAnswer: 3, 43, 59, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + 5. Suppose -m + 2 = -3*q. What is the remainder when 3 is divided by q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.045 * -132\nAnswer: 5.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1a9 + 1a1b?\nAnswer: 1852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 339149?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 630591?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -70476, -139179, -207882, -276585?\nAnswer: -345288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1225763424?\nAnswer: 2, 3, 109, 39047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.07394, -0.821, 6 in ascending order.\nAnswer: -0.821, 0.07394, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 67b + 5?\nAnswer: 682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 4.757586l?\nAnswer: 4757.586","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*w + 49 - 41 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/500 and -37\/1125.\nAnswer: 4500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 3*f - 3, 5*f + 6 = x - 3*x. Let z = -16 - -19. Which is the third smallest value? (a) x (b) z (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60 = 2*x + 8*x for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3*i**2 + 2)*(7*i**3 + 6*i**3 - 2*i**3).\nAnswer: -33*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 - 8*f - 9. Let y be o(9). Which is smaller: y or -3\/100?\nAnswer: -3\/100","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -42594 * -3\nAnswer: 127782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 351?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 7, d: 12}. What is prob of sequence dd?\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 - 9*k**2 - 11*k + 2. What is the units digit of b(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 561 not equal to 549?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a microsecond in nanoseconds?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -j + 13, i + 1 + 3 = 0. Let h = -0.02 + 0.62. Let x = -4.4 - h. Which is the second smallest value? (a) j (b) x (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1917?\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 5, -22, -64, 578.\nAnswer: -64, -22, 5, 10, 578","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11*b**4*i**2 - b**3*i**2 + 488*b**2*i**2 wrt b.\nAnswer: 264*b*i**2 - 6*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 - 145*c**2 + 465*c - 26229. What is i(143)?\nAnswer: -632","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/5? (a) -1 (b) 62 (c) -0.06 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5798691 is divided by 618.\nAnswer: 615","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 95745*f**2*o**3 + 2*f**2*o**2 - 38613*f**2*o wrt o.\nAnswer: 574470*f**2*o + 4*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 53*w - 14*w - 19*w to the form d*w + q and give d.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 224879 or 224877?\nAnswer: 224879","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 413 - 406 - (-1 - (-2 - 1 - -1))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -177 - -134.1. What is p rounded to zero decimal places?\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13.4 + -13. What is the third smallest value in -2\/11, -1, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -615 (base 13) in base 2?\nAnswer: -10000001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 + -10. Which is bigger: u or 0.3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -2*i**3 + i**2 + 2*i + 1. Let r(c) = -18*c**3 - 14*c**2 + 16*c - 10. Calculate r(y) - 8*v(y).\nAnswer: -2*y**3 - 22*y**2 - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cccbyyycby. What is prob of picking 2 y?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 541.661 + -541.67500412. Let n = -0.014 - y. What is n rounded to six dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/4*((-12)\/8)\/((-693)\/(-112))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 616*n - 2997 + 675 = 573*n for n.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1072*z - 3586 = 702 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 27 + -23. Suppose q*l + 2*y = -1 + 19, 3*l - 5*y = 7. Find f such that -2 - 2*f + 8*f**3 + 6 - l*f**4 - 6*f = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 162*k + 1240. Is 52 a factor of a(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -21*f**3 + 2*f**2 + f. Let v be p(-1). Suppose -4*t = -2 + v. Let s be 22\/18 - ((-70)\/63)\/(-5). Sort s, -1, t.\nAnswer: t, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.6 - -2.75. Let p = -0.05 - h. Does 4\/11 = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = w - 2*z + 24, 0 = -2*w - z + 1 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(4 + sqrt(1300)*-2) + -2)**2 - (sqrt(39)\/(sqrt(3) - (sqrt(3) - sqrt(108)\/sqrt(4))) - (sqrt(13) + 1 + 2 - (-4 + sqrt(13) + sqrt(13)*-2))**2).\nAnswer: -4957*sqrt(13)\/3 + 47097","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -11.3, 1, 2, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from uwvuccfwcwuwu?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*x**4 + 29*x**4 + 51*x**4 + (3*x**3 - x**2 + 2*x**2 - x**3)*(-7*x - 24*x - 3*x - 1) to v*x**2 + i + f*x**3 + r*x**4 + t*x and give f.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 195522 is divided by 2678?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 208 in 78, 3\/5, 0.4, 1.1, 5?\nAnswer: 78","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 447 = 4*o. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -266*n - 14 = -259*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -0.1, 2, 0.5, -102?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -9 - -744?\nAnswer: 73a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 753 divided by -251?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a**2 + 131151*a + 10498480 = 0. What is a?\nAnswer: -80, 131231","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/2 - (1 + -2). Let u be (((-5)\/4)\/5)\/s. Let l be (1 - -2)*6\/(-27). Which is the closest to l? (a) -1\/3 (b) u (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3169 in -0.3, 4, -0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + 32 - 17 - (1 + 0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1764 < -1.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 25154 to the power of 1\/2, to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*b**4\/9 - 2584*b**3 + 6439697*b**2\/3 - 5517842*b\/9.\nAnswer: b*(b - 1661)**2*(7*b - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 - (19 + -24) - -14.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 5*a = -26 - 89, 3*a - 210 = -5*c. What is the remainder when c is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2532503 is divided by 69?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*z - 10646 = -825. List the prime factors of z.\nAnswer: 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -331, -664, -995, -1324, -1651, -1976?\nAnswer: -2299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/674 and 29\/118624.\nAnswer: 118624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19 + -9. Calculate the remainder when 37 is divided by o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95 + 96 + 16*z - 191.\nAnswer: 16*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 68525695363 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101010001 - 101011?\nAnswer: 100100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 10289 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 123605673 to the nearest integer?\nAnswer: 498","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 2*n - 9 = 0, -3*n + 6 = 15. Let r be d + 1*(-19)\/7. Let i be 0 - 1 - (-27)\/21. Which is the nearest to i? (a) 3 (b) r (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i - 11*i = -3*i. Let p be i - (-1)\/2*4. Suppose p*c = 29 + 9. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 183 - -438?\nAnswer: 632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -3, 37, -1\/4971?\nAnswer: -1\/4971","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 less than 53475967?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxjxjjj. Give prob of sequence jjjx.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/(-2))\/(-5)*(-3)\/12*22.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2775113?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 4*i + 23. Let y be i*27\/72*1*2. Let m(s) = -3*s**2 - 3*s + 4. Give m(y).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 + (-1)\/(1\/(-11)). Suppose 3*x = 15, -2*l + 3*x - 3 - f = 0. Solve l*z + 16 = 6*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8440 is divided by 338.\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -19 - 6.79.\nAnswer: -25.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -5 + 0\/(-8*(-1)\/4). Which is the biggest value? (a) 0.8 (b) -0.2 (c) z (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 13*v**2 + 808*v - 96. Give u(-62).\nAnswer: -220","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49 - (-65 - -27) - -7.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 6:40 AM?\nAnswer: 5:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 0)*(3*a + 9*a - 27*a).\nAnswer: 30*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14512?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-132)*(-35)\/(3710\/(-212))?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6.97 in 0.3, -1\/4, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -1178755.7 to the nearest 1000.\nAnswer: -1179000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -3*k + 8. What is b(-4)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*-327\nAnswer: -163.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 6*k - 4*k. Suppose 2 = 5*f - k*c - 23, -2*f + c = -9. What is the least common multiple of 1\/f - 124\/(-16) and 3?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2 and 51502?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(9)\/sqrt(3) + sqrt(3) + -2 - -1*sqrt(9)\/sqrt(3).\nAnswer: -2 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3814728?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 148*l = 140*l + 104. Suppose l*d + 419 = 7894. Calculate the remainder when d is divided by 48.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 333129, 333153, 333177?\n\"Answer: 24*g + 333105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -61, -147, -257, -391, -549, -731, -937?\nAnswer: -1167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 3*w - 6 = 4*f, -f = 4*w + 2. Let t be (-29 + f)\/(14\/812). What is t rounded to the nearest one hundred?\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 - -8. Suppose n + w*n = 2. Suppose 7 = 5*s - n*l - 39, 4*s - 4*l - 32 = 0. Does 5 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -10*a**2 + 2*a + 14. Let c(d) = 48*d**2 - 11*d - 77. Let u(p) = 2*c(p) + 11*s(p). Let q(m) = -16*m. Calculate q(u(r)).\nAnswer: 224*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 13, o: 3, k: 1, j: 3}. What is prob of picking 2 r?\nAnswer: 39\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 12) in base 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 941959 (base 11) to base 10.\nAnswer: 1510507","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103*f = -118 + 839 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = 4*o + 3*t, -2*o = -0*o + 3*t + 9. Let k be (o\/(-4) - 0)*2. Suppose 24 = 3*n - a, 6*n - 2*n - a - 32 = 0. Solve -k*w + w = n for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g + 8*g**3 - 2*g)*((-1 + 0 + 0)*(0 + 1 - 4) + 1 + 1 + 0).\nAnswer: 40*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 156 - -74?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -20.60452296 + 0.4.\nAnswer: -20.20452296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 2*sqrt(1008))*5 - (4 + 4*sqrt(7)*2 + (sqrt(63) + sqrt(1575) - sqrt(63))\/sqrt(9))**2.\nAnswer: -1189 + 16*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 195.28 rounded to the nearest integer?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 399 and 63?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 o when four letters picked without replacement from aoooaoo.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 463579331 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (21218 - 10637 - 10098)*(-11 - 22*f + 11) to the form k + l*f and give l.\nAnswer: -10626","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.24 times 0.05?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 12407?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, 26, 78, 172, 320, 534?\nAnswer: 826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3103*n - 137456 wrt n?\nAnswer: 3103","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -227, -448, -669, -890, -1111, -1332?\nAnswer: -1553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 22587*r**4 - 457*r**3 + 23586725*r**2 - 2.\nAnswer: 542088*r - 2742","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63*k**2 - 82*k - 66*k + 148*k + 29*k**2.\nAnswer: -34*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/28)\/(342\/(-378)*3).\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - (-50 + (5 - -9))) + -5?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q + 6. Let g(z) = 1. Let l(n) = 5. Let a(c) = -6*g(c) + l(c). Let o(b) = -6*a(b) - m(b). What is o(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-7))\/(52\/(-182))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 956 = 5*m - 3*p + 2*p, -4*m = -2*p - 760. Suppose 0 = -19*t + 11*t + m. What is the greatest common factor of 8 and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -952577, -952617, -952683, -952775, -952893?\n\"Answer: -13*f**2 - f - 952563","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 206 - 201. Let m be (6\/9)\/((-2)\/(-6)). Let g be m + -3 - 18\/(-14). What is the nearest to g in -2\/13, p, -1\/5?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -2*k + 90. Let z = k + 35. Calculate the remainder when 43 is divided by z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94 + 96330960*q - 94 - 96331152*q.\nAnswer: -192*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**2 - 19*p + 37. What are the prime factors of m(-20)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 + 22*m**2 + 107*m + 20. What is z(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3 + (-12)\/9)*6. Suppose q - 3*t = 14 + a, 2*t + 133 = 5*q. What is the remainder when 105 is divided by q?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.5 (b) -2\/13 (c) 3 (d) -249.2 (e) 0 (f) 4 (g) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 15 = -5*v, 2*v - 3*s - 24 = s. Suppose -7*m = -v*m - 655. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 99\/200 and 161\/8685360?\nAnswer: 43426800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5378, -612, -10604, -24604, -42618?\nAnswer: -64652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes before 11:41 PM?\nAnswer: 12:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 188873 a multiple of 673?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 + 7. Let q = 2 - 0. Suppose q*j + 4*h = 20, j = 4*j - 3*h - 21. What is the highest common divisor of j and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.232 + 0.232. Which is the second smallest value? (a) g (b) 4 (c) -2\/33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148825 to the power of 1\/3, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -2*u**5\/5 + 6*u**4 + 19946*u**3\/5 - 299974*u**2\/5 + 108000*u - 52000 = 0.\nAnswer: -100, 1, 13, 100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of -g**5\/20 + 23*g**2\/2 - g. Differentiate f(v) with respect to v.\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -3*z. Let o(b) be the second derivative of 0 - 79*b - 1\/3*b**3 + 0*b**2. Give o(h(n)).\nAnswer: 6*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 2746*i**2 + i + 3145. Let j(h) = 2760*h**2 + 2*h + 3147. Let a(m) = 4*b(m) - 3*j(m). What is the second derivative of a(n) wrt n?\nAnswer: 5408","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 0*g - 2\/5*g**5 + 0 - 38\/5*g**3 - 22\/5*g**4 - 18\/5*g**2 = 0.\nAnswer: -9, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -47 + 45.7. Which is bigger: j or -0.9?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-22)\/(-3)*-7)\/((-84)\/(-18) - 4) + 9?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 792 is divided by 199.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4138963 to the power of 1\/2, to the nearest integer?\nAnswer: 2034","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 5 + j - 5. Let v(a) = -8*a. Determine v(r(s)).\nAnswer: -8*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 6) to base 11.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9768233.\nAnswer: 9768233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 5150 (b) 2\/11 (c) 1019 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qf when two letters picked without replacement from yvmvqvfqvvpvvv.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 3*y = -1, y = -0 - 3. Let f = 1 + r. Find the second derivative of 2*a + 2*a**3 + f*a**2 - 5*a**2 wrt a.\nAnswer: 12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 l when three letters picked without replacement from jlelhwhllj?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 3*m**2 + 8 - 8 - 5*m**2. Let l(v) = 3*v. What is l(n(r))?\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -2*s**2. Let p be ((-426)\/(-4) + -1)*(3 + -1). Let r(u) = p + 24*u - 211. Determine q(r(n)).\nAnswer: -1152*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -180 by -60.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1048 and 28034.\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 50585182 to the power of 1\/2, to the nearest integer?\nAnswer: 7112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 0, -8, -3, 1809, 5 in ascending order.\nAnswer: -8, -3, 0, 5, 16, 1809","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 9 = 2 + 7. Suppose 2*f - f - 23 = -u, u + 85 = 5*f. Let x be (-4)\/18 - (-40)\/f. Sort -3, b, x in descending order.\nAnswer: x, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58 (base 10) in base 3?\nAnswer: 2011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -5*w**2 + 11*w. Let m(v) = 6*v**2 - 10*v. Let t = 36 - 32. Let a(i) = t*m(i) + 3*g(i). What is the second derivative of a(o) wrt o?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/32307778 and -19\/36869.\nAnswer: 226154446","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*u**2 - 481*u + 481*u.\nAnswer: 47*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 120 and 2328?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - -121010?\nAnswer: 121001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*s - 6*s. Which is the closest to -2? (a) s (b) -3 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 263 is divided by 15?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 703289, 1406573, 2109859, 2813147, 3516437?\nAnswer: 4219729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -998 or -31959\/32?\nAnswer: -998","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 717 or 718?\nAnswer: 717","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, u: 3}. What is prob of sequence us?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -3*t**3 + 12*t**2 - 9*t = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.15 and 677744161.202?\nAnswer: 677744161.352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 571290?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 37 - 17. Suppose 0 = -2*l - j + 138. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 AM and 4:20 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3307822 is divided by 472534.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -n**3*o**3*v - 5*n**3*o*v - 3*n**2*o + n*o*v + 3*o**4 - 2*o*v wrt o.\nAnswer: -6*n**3*o*v + 36*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 153551 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 16929?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of 1\/2*f**4 + 0 + 0*f**3 - 53*f + 0*f**2. Let q(k) be the first derivative of k**2 - 1. Calculate q(h(b)).\nAnswer: 12*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -225476, -225474, -225472, -225470, -225468, -225466?\nAnswer: -225464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*t = 4*w + 14*t - 894335, 4*w - 2*t = 894334. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.0062, 1\/2, 4\/3, -294.6, 0 in descending order.\nAnswer: 4\/3, 1\/2, 0.0062, 0, -294.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 4*o + 4*x - 18, o + 2*x - 1 = 0. What is the smallest common multiple of o and 2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 4*u**3 + 6*u**2 + 4*u - 5. Let t(o) = -3*o**2 + 1 + 0*o**2 + 2*o**2 + 19*o**3 - o - 20*o**3. Determine -j(c) - 5*t(c).\nAnswer: c**3 - c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-3)*960\/128\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 a when two letters picked without replacement from aaocoaoaoaa?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 8*z - 15 = 0. Suppose 2*w - 2036 = 4*q, z*w + 109 = -2*q + 5259. Let g = w - 705. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2396 + -2395. Let j be (1\/(3\/6))\/(-1). Let c = j + 6. Solve 0 = -c*w - 5 + a for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10950\/300 - (47 - 10)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 12:31 AM?\nAnswer: 12:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101001011001011 (base 2) to base 9.\nAnswer: -32060","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1102012021 (base 3) in base 8?\nAnswer: 66304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 27038 to the power of 1\/2, to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*h**2 - 94*h - 68*h - 144*h + 0*h**2 + 509*h - 84*h.\nAnswer: 4*h**2 + 119*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 - 9*j**2 - 10*j - 19. Let m be l(-8). Let o(w) be the third derivative of 1\/24*w**4 + 0*w + 5\/6*w**3 + 0 + 10*w**2. What is o(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + -334?\nAnswer: -341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -28865*u - 30166 with respect to u.\nAnswer: -28865","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 264322.\nAnswer: 2, 283, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 45 and 210?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 51, -3, 39 in decreasing order.\nAnswer: 51, 39, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6642417787 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*-6)\/((-41)\/(-861)*-9)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - 3. Let z = 14 + o. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/23? (a) -0.19 (b) 151 (c) -3 (d) 8 (e) -3\/2 (f) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 8:17 AM?\nAnswer: 12:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 166328 = -5*z, 0 = -3204*z + 3203*z + 5*a + 33276. What is the ten thousands digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -537*v. Let b(j) = -2*j. What is k(b(h))?\nAnswer: 1074*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17631 by -9.\nAnswer: 1959","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (23\/((-414)\/(-63)))\/(2\/16*-2)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(((2*sqrt(190))\/sqrt(10))**2 + (sqrt(19) - (-4 + 0 + sqrt(19)))) - -4*(-2*sqrt(1900))**2*-2.\nAnswer: -60960","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-667630.\nAnswer: -2670520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7 times 8?\nAnswer: -5.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the third derivative of l**5\/60 + l**4\/6 + 8*l**3\/3 - 17*l**2. What is the units digit of j(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2 + n. Let z(w) = -14*w**2 - 12*w. Let g be 0 - (-7 - -10) - -15. What is g*a(p) + z(p)?\nAnswer: -26*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 + 27 = -5*y - 6*t, 0 = -5*y + 7*t + 29 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -47448*s**2 + 94948*s**2 + 3*s**4 + 14*s - 47460*s**2 to k + g*s**2 + l*s**4 + u*s + t*s**3 and give g.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hyhy when four letters picked without replacement from hhyyhh.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 238 divide 15553877?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7660, -7634, -7610, -7588, -7568, -7550?\nAnswer: -7534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 - ((-6 - 59) + 45)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10124013 (base 5) to base 15.\nAnswer: -198dd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3573 (base 10) to base 2.\nAnswer: -110111110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -333 - (-5 - (-10 + 1)). Let v = q - -600. Is 53 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 440 is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - f = 3*g - 26, -2*g + 4*f + 28 = 0. Let j(w) = -4*w + 10. Let l(s) = s. Let n(m) = j(m) + 3*l(m). What are the prime factors of n(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 15) in base 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -34*d + 127 - 127 + (3 + 0 - 2)*(4*d + 0*d - 3*d) in the form m + q*d and give q.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 33*l**3 + 11*l**2 - 11. Let i(f) = -8*f**3 - 3*f**2 + 3. Suppose 2*o = 2*a + 10, -2 = o - 3*o - 2*a. Give o*j(w) + 11*i(w).\nAnswer: 11*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the first derivative of -t**6\/480 + t**4\/24 - 19*t**2\/2 - 11. Let a(x) be the second derivative of b(x). Factor a(d).\nAnswer: -d*(d - 2)*(d + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-34) + 1196\/2652\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/75*(-15)\/10)\/2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -51*k**3*v - 5237*k**3 + 16*k**2*v + 31*k*v - 1 wrt v.\nAnswer: -51*k**3 + 16*k**2 + 31*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 18 + 5*j + 16 - 56 + 16. What is the remainder when 33 is divided by y(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 1778*w**2 + 33781*w - 18. Calculate g(-19).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*d - 0*d. Suppose 2*z = 3 + d. Solve -2*s**2 - 4*s**3 + 4*s**2 + z*s**4 - s**4 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37001, 37000, 36999?\nAnswer: 36998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14204 - 3826. What is the tens digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -155 + 152435?\nAnswer: 152240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 336305 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3071 + -3070.7. What is the second smallest value in f, -0.15, -0.5, -1, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -45971 by 7.\nAnswer: -45971\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + 4. Let h = 2 + 26. Is h\/2 + (2 - z) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-4 + -5 + 2*sqrt(117) - (sqrt(13) + sqrt(208) + -3 - sqrt(468)*-3)))**2.\nAnswer: 7344*sqrt(13) + 136548","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1be (base 15) to base 10.\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.0719*-1.9462\nAnswer: 0.13993178","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6020 + 6027. Which is the third biggest value? (a) o (b) 2\/11 (c) 0.2 (d) 2.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17.98 + -18.98. Let c be (2 - 1)*(-34)\/(-16). Let b = -55\/24 + c. What is the nearest to -1\/4 in t, b, -2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/((m*m**(-2\/17))\/m)*m\/((m*(m**34\/m*m)\/m)\/m)*m*m*m*m**14*m**(-24\/5) assuming m is positive.\nAnswer: m**(-1588\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*i + 24*i = -90, 3*t - 14*i - 11*i = -11*i + 10*i - 34 + 265 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 377 + 277 = 0. What is the remainder when u is divided by 23?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18469.\nAnswer: 11, 23, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 177937*g - 2*g**2 - 177937*g.\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ibib when four letters picked without replacement from {i: 12, b: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -10, -429, 1, -28 in descending order.\nAnswer: 2, 1, -10, -28, -429","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 2*x, w - 2*x = 1 - 9 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1\/(-2))\/(1\/1). Suppose -5*u = -20, 2*u - 12 = -12*f + 11*f. Which is the biggest value? (a) f (b) t (c) 15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 5*w + 24 + 46 = 6*z, 27*w = -297 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -117 and -0.2.\nAnswer: 23.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z - 1 + 1. Let p(m) = 9*m + 8*m - 3*m**2 - 28*m + 11*m. Calculate x(p(b)).\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppppplgp. Give prob of sequence lp.\nAnswer: 7\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3175, -25514, -86143, -204208, -398855, -689230?\n\"Answer: -3191*s**3 + s**2 - 5*s + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-195)\/(-78)*72\/(-10).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 14*w. Let s(c) be the third derivative of -c**5\/30 - 5*c**2. Calculate t(s(f)).\nAnswer: -28*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 - 14. Let r be t + 2 + (-4 - -6). Solve 5*w = 5*n - 15, 0*n = -r*n - 5*w + 30 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17101, -17951, 1 in ascending order.\nAnswer: -17951, 1, 17101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 2*f + 11 = 0, 0 = -20*x + 15*x - 10*f + 5 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2721 divided by -742\nAnswer: -2721\/742","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 354 (base 6) to base 12\nAnswer: ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*j**2 - 5*j**2 - 5*j**2 + 3)*(-j + 3*j - 18*j).\nAnswer: -32*j**3 - 48*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2141366679 to the nearest integer?\nAnswer: 46275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of -u**8\/56 + u**6\/30 + 36*u**5\/5 - 7*u**4\/12 + u**3\/6 + 5*u**2\/2 - 7896*u. Find the third derivative of g(x) wrt x.\nAnswer: -120*x**3 + 24*x + 864","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, -265, 24 in ascending order.\nAnswer: -265, -2\/9, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -1 (c) -1207\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -31 + 31. Suppose -2*y + 4*u - 6 = q, 0 = 4*u - 16. Is y not equal to 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 661 is divided by 74.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 993, -31, -3, 1 in decreasing order.\nAnswer: 993, 1, -3, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 + -2. Let m = -6.7 + c. Let o = m - 1.3. Sort o, 5, 1\/6 in increasing order.\nAnswer: o, 1\/6, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9441548 (base 10) to base 5\nAnswer: -4404112143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -24 + 29. Suppose l*w - 12 - 3 = s, -3*w = -2*s - 9. Suppose p + 5*f = -23, w*f = -f - 20. Solve -6 = -p*c - 0*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3374520 (base 10) in base 4?\nAnswer: 30313312320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5991973*j + 305*j**2 + 5991973*j.\nAnswer: 305*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h*h**3)\/(h*h**6))\/((h\/(h\/h**(4\/11)))\/h*h**3))\/(((h\/h**(-1))\/h)**40)**(-2\/43) assuming h is positive.\nAnswer: h**(-1184\/473)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 5*s**5 + 1495*s**4 + 84575*s**3 - 354875*s**2 + 450020*s - 181220 = 0.\nAnswer: -221, -82, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 2 = -5*m + 4, 4*m = a + 2 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 44*g**4 + 7498*g**2 - 45*g**4 - 5251*g**5 - 6706*g**2 wrt g?\nAnswer: -315060*g**2 - 24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) - -2*sqrt(77) - sqrt(77) - sqrt(77))\/sqrt(7) + 3.\nAnswer: 3 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -2*k + 8. Let t be b(2). Suppose 6*j + 6 = t*j. Let a(i) = 4*i**2 - 8*i - 17. Is 30 a factor of a(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/16)\/b)**44*b**8*b**26*b assuming b is positive.\nAnswer: b**(-25\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 129914385.\nAnswer: 3, 5, 277, 31267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c + 4. Let r be j(-6). Let a = -24\/23 + 28\/115. Which is smaller: a or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -76*l - 33. Let g(u) = 66*u + 35. Let c(o) = -6*d(o) - 7*g(o). Determine c(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in a**4\/3 - 3030*a**3 - 36393*a**2 - 136512*a - 163836 = 0?\nAnswer: -6, -3, 9102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 244 = 3*y, 7*b - 8*b = 4. What is the highest common divisor of y and 66?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 - -7. Suppose 33*d - 5*c - 30 = 36*d, 5*d + 2*c + 50 = 0. What is the second biggest value in 2, d, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 9132.467ug?\nAnswer: 0.000000009132467","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*g**2*p**4 + 15*g**2*p**2 + 2*g**2 - 6910191*g*p**4 + g*p**2 - 2063*p**2 + 28 wrt p?\nAnswer: -72*g**2*p - 165844584*g*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -390833, -781648, -1172449, -1563236, -1954009, -2344768?\n\"Answer: 7*j**2 - 390836*j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 26a832 (base 11) in base 5?\nAnswer: 102034021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 PM and 10:17 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 3*v**2)*(-3 + 4*v**2 + 3) - 5*v**4 + 0*v**4 + 3*v**4 + (3*v**2 - 3*v**2 - 2*v**2)*(-v**2 - v**2 + 4*v**2) - v**4 - 3*v**4 + 3*v**4.\nAnswer: -19*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -59 + (44 - -4) + (-290 - -260).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -d**3 + 136*d**2 + 2*d - 122 wrt d.\nAnswer: -6*d + 272","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -3*o + 4. Let i be t(3). Let k be 7 + (-10)\/(-2) + 15\/(-5). Let n = k - i. What is the remainder when 53 is divided by n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 622, 627, 626, 613, 582, 527?\nAnswer: 442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2262?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3248 - 3247.3798. What is l rounded to 2 dps?\nAnswer: 0.62","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19 + -14. Let l = 47 + -51. Which is the second smallest value? (a) l (b) m (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times -216?\nAnswer: -43.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 2 - 5*u + 7*u - 5 - 4*u. Determine c(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 - 16) + -20 + 82 + -26?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2284978594 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 240 and 192?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 - 107*d**2 + 32*d + 3404. What is x(-107)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or -12314\/8627?\nAnswer: -12314\/8627","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/4, 0.2, 2, -71?\nAnswer: -71","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 24*g**2 + 4*g. Let j(u) = 5*u. Give n(j(r)).\nAnswer: 600*r**2 + 20*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.03, -3, -0.1, 17\/7, 1\/21?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -32 + 35. Which is greater: b or -2.1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 123 - 113?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -2*s - 23. Suppose -30 = 2*m + 3*c, 0 = -4*m + 6*c - 4*c - 92. Determine t(m).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 79 and 2528?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 761, 829, 1009, 1355, 1921, 2761, 3929?\nAnswer: 5479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and 285456?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1133 - 14*r**3 + 1133.\nAnswer: -14*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide ((-6992)\/276)\/(5\/(-420))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -5, -1\/10, -0.55?\nAnswer: -0.55","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-42)\/12*1)\/((80\/96)\/5).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 110222192?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the third derivative of -v**4\/8 + v**2. Let t be (36\/(-7) - (-222)\/(-259)) + 5. What is o(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56082 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19001268?\nAnswer: 2, 3, 11, 13, 3691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 3073.226um?\nAnswer: 0.000003073226","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -199*0.397\nAnswer: -79.003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i*i**4*i))**(-23)*i**8\/i*i**(3\/10) assuming i is positive.\nAnswer: i**(1453\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1755 by 195.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -102, 181, -2, -18 in decreasing order.\nAnswer: 181, -2, -5, -18, -102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12.81 - -9.81. Which is the biggest value? (a) 2\/11 (b) 39 (c) m (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -14 - -7 - 4\/((-20)\/25). Let w(a) = -a. Let i(j) = -1. Determine n*w(y) + 3*i(y).\nAnswer: 2*y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -395246*j**4 + 9*j**2 - 44931525.\nAnswer: -1580984*j**3 + 18*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1266361 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*x - 7*x + 2*x)*(-2*x + 0*x + 4*x) + 6*x**2 - 5*x**2 + 4*x**2 + 2*x**2 - 2*x**2 + x**2 to c*x + o + b*x**2 and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 2\/13, 1, 1\/7595?\nAnswer: 1\/7595","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 4*h = -3*y - 896, -5*y - 5*h = 1150. Let r = y + 1448. List the prime factors of r.\nAnswer: 3, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -6*v + 48. Suppose -3*a + v = -0*a. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 279517 less than or equal to 279517?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.63 - -0.23. What is the second smallest value in v, -3, 2\/17, 4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -345*o + 217. What is the hundreds digit of z(-10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (-1 - -1 - (-25 - (-53 + 21))) + -20?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1101110 (base 2) to base 11.\nAnswer: a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*i - 75*i = -80. Let w(j) = 14*j - 3*j**3 + 2*j**2 - 33*j + i*j + 2*j**3 - 1. Determine w(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**2 + l + 13. Let w be c(0). Let r = 17 - w. What is the remainder when 8 is divided by r\/22 + 265\/55?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-2)*x*x)\/x)**(4\/13)*x**(2\/5)\/x**(11\/5) assuming x is positive.\nAnswer: x**(-9\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 62098.092951 + -62098. Let u = 0.093 - r. Round u to five dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i + 4 + 17 = 0. Solve f + r - i*r = 0, 5*f = 4*r + 6 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(40)\/(sqrt(1210) + 2*sqrt(1210) + sqrt(1210) - sqrt(10)))\/((1*-2*sqrt(162) - sqrt(162)) + sqrt(162)))**2.\nAnswer: 1\/299538","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -237390, -948927, -2134822, -3795075, -5929686, -8538655?\nAnswer: -11621982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 18 - 2, -85 = -o - 2*t. Suppose 4*p = 5*w - 128 - 133, 20 = -5*p. Calculate the lowest common multiple of o and w.\nAnswer: 539","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -25344, -1\/3, -5\/3, -1\/4, 0.5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -6*d**2 + d - 1. Let j be a(-2). Let y = -1 + j. Let q be (y\/(-2))\/(-4 + 5). Solve -4*h + 1 + 7 = -4*r, -5*r - 3*h + q = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/o**(-6)))\/o**11)**(-1\/27)*((o*o\/o**(-1)*o)**(-44))**17 assuming o is positive.\nAnswer: o**(-80767\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 2849097 + 114*c - 2849097 + 171*c. Let d(z) = 2*z. Give d(s(y)).\nAnswer: 570*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.99486713 rounded to 3 dps?\nAnswer: -0.995","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 40 + -40.04. Are 0.05 and t nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 h when four letters picked without replacement from fhfhfhqfhhlhfhf?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -603, -705, -807, -909, -1011, -1113?\n\"Answer: -102*m - 501","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -15*z + 1. Let v = -45 + 44. Let d be q(v). Suppose -d*y = -21*y + 375. List the prime factors of y.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pxx when three letters picked without replacement from pxx.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 24.4 and 4.\nAnswer: 97.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -29*z**3 - 2*z**2 - 2*z - 1. List the prime factors of o(-1).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (316\/40 - 8)*-12?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes before 6:12 AM?\nAnswer: 10:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 850 + -611. Suppose -d = v - 241. Suppose -1\/5*k**3 + 0 - 2\/5*k**v + 3\/5*k = 0. What is k?\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 43 + 40 - 52*l**2 + 55*l**2 to the form s*l**2 + r + h*l and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + q - 50 = 0. Let v = -158331 + 158327. Sort v, -5, q in decreasing order.\nAnswer: q, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1375 + 1977. What is the greatest common divisor of 8 and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7124 and 822.\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 525631.\nAnswer: 59, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*s = -55*s - 10872. What is the hundreds digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25.63955757 rounded to three decimal places?\nAnswer: -25.64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -8*k**3 - 2*k**2 - 2*k + 2. Let y(g) = 9*g**3 + 3*g**2 + 3*g - 3. What is -9*t(j) - 6*y(j)?\nAnswer: 18*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 AM and 5:19 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s - 15 = 282. What is the greatest common factor of s and 2937?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -18746, 4, 3, -1\/6, -1 in ascending order.\nAnswer: -18746, -1, -0.4, -1\/6, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 2*d + 4*g = -8, -3*g = -3*d + 9. Suppose -4*l + 10 = -10, 5*h - 3*l = -10. Sort 0, d, h in decreasing order.\nAnswer: d, h, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 10*d + 444 = 0. Let l = d + 123. Let b be 14\/l - (-984)\/(-14). What is b rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1354792876 a multiple of 8579?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -926 rounded to the nearest 100?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4678777387?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17 + -15. Solve 2*w + 2*v = 9 + 3, -z*v = w - 7 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.75 + -0.75. Suppose 0 = -4*x - 45 - 31. Let n = -14 - x. Sort n, -1\/9, y in descending order.\nAnswer: n, y, -1\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 246, -16, 1\/2, -3, 0.03, 43?\nAnswer: 246","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 9:56 AM?\nAnswer: 4:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 5, y: 7}. What is prob of picking 3 y?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 + -344 - -1)\/(6 + -7). Let k = 50 + o. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 8*j - 6. Factor -4*l + 8*l**j + 35 - 25*l**2 + 12*l**2 - 26*l.\nAnswer: -5*(l - 1)*(l + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4 + 11\/3)*(275 - 2). Let f = g - -92. Solve 4*y - 21 = -3*q - 5, 0 = -y + f for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6056 is divided by 5613.\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49210316.\nAnswer: 2, 47, 261757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1250482759 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f**13*f)*f)\/f**(-4\/3)*f**(-14)*f**(2\/19)\/f)**(-2\/85) assuming f is positive.\nAnswer: f**(2914\/4845)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 337348117 to the nearest integer?\nAnswer: 696","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -2*g**3 + 44*g**2 - 306*g + 648 = 0?\nAnswer: 4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.07657 - -0.22343. Let p = -74\/7 + 11. Let q = -3.91 + -0.09. What is the second biggest value in y, p, 3, q?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 9 - ((-8)\/(-2) + 207\/(-23)). Let a = -12 + 203. Suppose 23 = -3*p + a. What is the greatest common divisor of p and n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and 935493?\nAnswer: -467746.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/(p\/((p*p\/(((p*p*p\/(p*((p*p**(4\/7)\/p)\/p)\/p*p))\/p)\/p))\/p)))*p**(-2\/19))**(1\/12) assuming p is positive.\nAnswer: p**(43\/1596)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve l**2 + 9*l**2 + 6*l - 13*l**2 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**2 + d + 1. Let p(c) = 9*c**5 + 18*c**2 - 12*c - 12. Let f(v) = -p(v) - 12*z(v). What is the third derivative of f(u) wrt u?\nAnswer: -540*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 382087 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: -126373 (base 8) to base 4\nAnswer: -22303323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine fifths of a centimeter in millimeters?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 35? (a) 249.8 (b) -7 (c) -2\/47\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express q + 2*q + 2*q**3 - q**3 - 7*q**3 as a + p*q**2 + l*q**3 + m*q and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the third derivative of 0*y - 1\/24*y**4 + 3\/2*y**3 + 0 + 1\/60*y**5 - 3*y**2 + 1\/120*y**6. What is the units digit of h(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 4 = v. Let o be (4 - (3 - -16)) + (-3)\/1. Let d be (-92)\/o + (-20)\/180. Sort v, 3, d in ascending order.\nAnswer: v, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00022974656 to six decimal places.\nAnswer: -0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 211100154?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -224648 or -224810?\nAnswer: -224648","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hih when three letters picked without replacement from {a: 2, h: 2, c: 1, i: 5, g: 2, q: 1}.\nAnswer: 5\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 3*h + 4. Let j(g) = -2*g**2. What is j(a(o))?\nAnswer: -18*o**2 - 48*o - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 3*l + 6. Let j = -268 - -943. Suppose 56*y - 837 = j. What is the highest common divisor of l and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1488353*m**2 + 1520243*m.\nAnswer: -2976706","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ra when two letters picked without replacement from rraaaarrarrzarz?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 - 1)*(140 + 75 + 28)*(-2*a**3 + a**3 + 6*a**3) - 2 - 2*a**3 + 2.\nAnswer: -2432*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 56*n - 11 - 2 = 28*n + 29*n, 4 = 4*d - 4*n for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9531883681 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 22, -12, -5, 2, 1.\nAnswer: -12, -5, -1, 1, 2, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 179803?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 480 = 10*n - 5*n - 5*p, 0 = -5*n + 2*p + 483. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -174*k + 170*k + 16 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 488734.8mg to grams.\nAnswer: 488.7348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -154 by -77.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-139)\/1*6\/(-2). Suppose -4*d + b = 121. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 6 (b) -40 (c) -0.16 (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*y**2 + 4*y**2 + 375 + 36*y**2 + 2*y**2.\nAnswer: 4*y**2 + 375","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 22120240*p**4 - 5231*p - 1580.\nAnswer: 265442880*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 738251352?\nAnswer: 2, 3, 137, 74843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 0*q - 5*q - 6 = 0, -3*h - q + 6 = 0. Suppose -h*a + 3*a - 10 = 0. What are the prime factors of a?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -60, -122, -184, -246, -308?\n\"Answer: -62*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + -20 + 21 + -13 - -19?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 28 = 3*v + 4*q, 0 = v - 3*q - 11. Let f(s) = -3 - 2*s**2 + 5890*s - 5891*s + 4. Let t(j) = -5*j**2 - 3*j + 2. Give v*t(k) + 9*f(k).\nAnswer: 2*k**2 + 3*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + -141024?\nAnswer: -141033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 275789 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*s = -10*s - 15*s - 54 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -5 (b) -9\/28 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/8 of a century in months?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the third derivative of l**5\/30 - l**4\/6 + 2*l**3\/3 - l**2. Let x(n) = -9*n + 111. Let a be x(12). Does 10 divide o(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**3\/3 + 6906*o**2 - 17881360*o - 53664800\/3.\nAnswer: -2*(o - 5180)**2*(o + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16305*t + 16100*t + 418 + 2452 = 0 for t.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 - 3*h + 14. Give p(0).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 2*t - 4*x - 29, -x + 1 = 3*t. Suppose d + 3*b = 3*d - 748, 2*d + 2*b = 768. Suppose 7*v - t*v = -d. What is v rounded to the nearest 10?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48157 - 2555 = -2113*j for j.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(-1)*i)\/((i*i**10\/i)\/i))\/((i*i*i**(1\/3))\/i*i*i**0))**(-2\/73) assuming i is positive.\nAnswer: i**(68\/219)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0055885007 rounded to five decimal places?\nAnswer: 0.00559","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 109 - 113. Suppose -q = w - 21, -4*q + x*w + 54 = -62. Is q a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and -0.86.\nAnswer: 0.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(3\/7)\/(g**(-1)\/g))\/(g**(-7))**(-1\/42) assuming g is positive.\nAnswer: g**(95\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 12 + -12 + (-1 + -72)\/(-1593 + 1) and -101\/2388.\nAnswer: 4776","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 15\/(-9 - -4) + 2 - -3. Let u = 0.3 + 0. Which is the nearest to 0.1? (a) n (b) u (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 254, 542, 1022, 1694, 2558, 3614?\n\"Answer: 96*t**2 + 158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the first derivative of -v**6\/8 - 3*v**3 - 19*v**2\/2 + 18. Let h(d) be the second derivative of t(d). Find the first derivative of h(g) wrt g.\nAnswer: -45*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.054813*-10901\nAnswer: -597.516513","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 140 a factor of 46442265?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 34656 (base 8) to base 12\nAnswer: 8666","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1236)\/(-927) - (-5)\/(-3). Suppose -3*n = -8*n + 430. Is r smaller than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-6) + (-6150)\/(-63). Let s = j + -7190\/77. Calculate the common denominator of 25\/4 and s.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 35 - 99. Calculate the greatest common factor of n and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1152*n - 1146*n + 96 = 0 for n.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5965304 and 3468200.\nAnswer: 149132600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes before 3:00 PM?\nAnswer: 9:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the third derivative of -k**7\/1120 + k**6\/480 + k**5\/160 - k**4\/32 - 9*k**3\/2 + k**2 + 16*k. Let o(w) be the first derivative of m(w). Factor o(q).\nAnswer: -3*(q - 1)**2*(q + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:40 AM and 5:49 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1219 + 52*d**2 + 1219.\nAnswer: 52*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 2.26707476899.\nAnswer: -3.26707476899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -79*((13 - 105\/10) + -15*2\/20)?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -5*o + 68 - 16, 0 = -3*x - 3*o + 60. Let t = -11 + x. List the prime factors of t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4292.\nAnswer: 2, 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 11*v**3 + 9*v**2 - 7*v - 37. Calculate i(3).\nAnswer: 320","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 23, 5 in increasing order.\nAnswer: -3, 5, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 6. Suppose 2*m + 0*m - 2*c = 2, 4*c - r = 0. What is the first derivative of -5 + 8 - m*z**4 + 5*z**4 wrt z?\nAnswer: 12*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(84) + (2*sqrt(84) - sqrt(84)) + sqrt(84)))\/(3*sqrt(48) + sqrt(12)).\nAnswer: 6*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/(-4) - (-4)\/8. Let g(u) = 2 - 10*u**3 + 9*u**3 - u**2 - u**f - u - 7*u**2. What is the units digit of g(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 30\/25*(-5)\/(-2). Suppose 0 = 2*q + i*q. Suppose -4*k - 4*y + 12 + 8 = q, -5*y - 15 = -5*k. Solve k*z = -0 - 4 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 49 + (-1699 - -1611)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*t + 128 = 54*t. Let n be t\/(1*(-2)\/125625). Round n to the nearest one million.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-14148)\/(-63))\/((-153010)\/(-51002) + -3). Let v = -1563398 + x. Round v to the nearest 100000.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 39 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 4, c: 3}. Give prob of sequence xxc.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -982, 50, -13, -5, 10 in increasing order.\nAnswer: -982, -13, -5, -2, 10, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*j**2 - 42326328*j - 149293170163632 = 0. Calculate j.\nAnswer: -7054388","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -3*z**3 - z**2 + 3*z - 3. Calculate y(3).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 2 = -62. Let l = a - 9. What is the remainder when 69 is divided by -2*((-12)\/l - 8)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 320 by -9742.\nAnswer: -160\/4871","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -12*n + 360. Give s(29).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 2:11 AM?\nAnswer: 3:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-3)\/x**(3\/8))**(-1\/23) assuming x is positive.\nAnswer: x**(27\/184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 70*s**3 + 132*s**3 + 2*s**3 + (s**2 + s**2 - s**2)*(0*s - 3*s + s) + 0*s**3 - 4*s**3 + 2*s**3 as b*s**2 + i + a*s**3 + n*s and give a.\nAnswer: 200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6.2 + -6. Let m = t - 3.2. Let j = -2.6 - m. Sort -5, 1\/3, j in decreasing order.\nAnswer: j, 1\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6727 divided by 6\nAnswer: -6727\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((16 - -2) + -12)\/(1*(-9)\/(-30))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 345*b**2 + 20. Suppose u = -10*l + 5*l + 19, 0 = -4*l + 4*u + 20. Let f be d(l). What is f rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -185*h = 179*h + 84*h + 3136 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 310*z = 346*z - 43776. What is the lowest common multiple of z and 16?\nAnswer: 1216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.113 - 0.887. Put -2, 0.2, g, -1.6, -0.5 in descending order.\nAnswer: 0.2, -0.5, -1.6, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57*f**2 + 7602 + 6737 - 21081 + 6742.\nAnswer: -57*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a**2 - a**2 + 3*a**2 + 13*a**4)*(-a + a + 2*a).\nAnswer: 26*a**5 - 4*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -1\/4, 0.0347.\nAnswer: -1, -1\/4, 0.0347","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 2*f + 68 = 0, 0*q + q - 46 = -3*f. Solve 3*j - 5*h = q, -j + 9 = -0*j - h for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 62 - 64. Calculate the remainder when 164 is divided by -3 - (-49 + (-8)\/y).\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -195*x**4 - x - 1826 + x + 1806*x**4 with respect to x.\nAnswer: 6444*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -438, -1609, -3560, -6291, -9802?\n\"Answer: -390*a**2 - a - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 27*y**3 + 2*y**2 + 4*y - 5. Let s be j(2). Suppose 9*d - 10*d = -5*b - s, -3*b = d - 187. What is d rounded to the nearest 10?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109 is divided by (34\/51)\/((-6)\/(-495))?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2153, -2706, -3333, -4070, -4953, -6018?\nAnswer: -7301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31812, 63612, 95410, 127206, 159000, 190792, 222582?\nAnswer: 254370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (58 - 14*t - 58)*(7 - 2 - 3)*(2 - 3 + 3)*(3*t - 7*t**2 - 3*t).\nAnswer: 392*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -9*l**2. Let c(u) = -u. Let r(z) = -5*z. Let d(v) = 4*c(v) - r(v). Determine d(a(s)).\nAnswer: -9*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 47597323?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the third derivative of -w**6\/30 + w**5\/15 + 5*w**4\/24 + 1011*w**2. Let z(q) = -q. Give -c(v) - 4*z(v).\nAnswer: 4*v**3 - 4*v**2 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.0212, 2, -1\/3, -1, 8\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 17754 = -34*h. What is the remainder when h is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/85)\/(7 - (7 + -16 + 14))?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**2 + 36*g + 50. Let m be z(37). Solve 0*b + 2*a = b + m, 2*a = -b + 3 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -342 - -1654. Is 22 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (466\/6)\/((-3)\/(-9)). Let u be (1 - 2) + (-77 - -83). Find the second derivative of -k + 233 + u*x**2 - x wrt x.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -329641 to the nearest one thousand.\nAnswer: -330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2290*621\nAnswer: -1422090","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 183664?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 14 = -4*z. List the prime factors of 257 + z + -6 + 4 - 3.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1933 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -127*a**5 - 27*a**3 - 1173*a wrt a?\nAnswer: -2540*a**3 - 162*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -5, 2, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 371 - 208. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 304 or 306?\nAnswer: 306","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -884*a = 879*a + 900*a - 2729*a - 924 for a.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25215927?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -814070 (base 14) in base 5?\nAnswer: -2103231312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 31570062 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.1 and 4115222.\nAnswer: 4115222.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1183 is divided by 148.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (5 - 5)\/(3 + -2) + 3. Let c = 21 + -10. Suppose 5*h + 5*n = 5, -3*n - c = -4*h - 0*n. Solve h*t + r - 2 = f, 4*t + r - 7 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w = -7*w - 10. Solve -2*z + 5*z + 23 = 2*d, -3*z + w*d = 35 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the first derivative of -4*k**2 - 47*k + 162. Let a be t(-8). Solve -4*z + 3*s - a = 0, 3*z + 14 - 3 = 4*s for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 3*x = -12, x = -2*r + 4*x + 12. Let l(s) = -4*s - 40. Let w be l(-10). What is the nearest to w in -4, r, -3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 + 6*y - 6. Let x(w) be the third derivative of -7*w**6\/60 - 77*w**4\/24 + 77*w**3\/6 - 3*w**2. Let s(z) = 77*f(z) + 6*x(z). Calculate s(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3764\/(-70) + (3 - (-120)\/(-35)). Let q = 54 + w. Let g = q - 8\/35. What is the common denominator of g and -38\/11?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {s: 1, z: 1, p: 4, g: 3, a: 2}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16686 + -16682. What is the second biggest value in 2, z, 856?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -238097, -238126, -238155, -238184?\n\"Answer: -29*q - 238068","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -294.9 - -295. Let x = 11.2 + -10.7. What is the closest to -3 in -3\/4, x, t?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4\/15 (b) -26 (c) 1329\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in three fifths of a milligram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8 and -49.23.\nAnswer: -393.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vxurvprrru. Give prob of sequence xu.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-8)\/(i\/i**(-21)) assuming i is positive.\nAnswer: i**(-30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together -16.90161817 and 0.2.\nAnswer: -16.70161817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 2. Let s = 2.947 - -0.053. Which is greater: s or l?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 850 - 825. Let g = 2 + -7. Does 13 divide (24\/(-5))\/(g\/s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 96?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*j**3 + 10*j**5 + 30*j + 2*j**3 - 23*j wrt j.\nAnswer: 200*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 272, 233, 14, -511, -1468, -2983?\nAnswer: -5182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + m - 3 = -2*n, -12 = -4*n - 2*m. Let s(f) = -f**2 + 5*f + 3. What is s(n)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -30*r**2 - 12*r - 4. Let a(w) = 31*w**2 + 15*w + 5. Let p(t) = -4*a(t) - 5*q(t). Let s(f) = 3*f + f - 2*f. Determine p(s(l)).\nAnswer: 104*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -2*k - 4035. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-27)*(-12)\/(-8)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 2*n**2 + 7*n + 17. Let p(y) = -3*y**2 - 7*y - 18. Let k(d) = -6*b(d) - 5*p(d). Let v be k(9). Let z = v + -1514\/9. Is 0 smaller than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + 24. What is the second derivative of -2*r - 30 + i + 6*r**4 wrt r?\nAnswer: 72*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 5*i**2. Let r(k) = 25*k**2. Let b(x) = -2*r(x) + 11*w(x). Let n(l) = -2*l + l + 2*l - 4*l. Give b(n(u)).\nAnswer: 45*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -o + 200, 5*o + 161 = 3*l + 3*o. Suppose -j - 37 = 3*h, 0 = -2*h - 2*h - 3*j - l. Put h, 2, 1 in decreasing order.\nAnswer: 2, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2105*a + 5243 - 5243.\nAnswer: -2105*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -3*b - 0*n - 47, -b - 21 = -5*n. Let s be b*((-3)\/4 - 0). Solve -2*g = -c + 2, 2*c + s = g - 5*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5382375 to the nearest integer?\nAnswer: 2320","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -1061*q - 102925. Determine a(-97).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the first derivative of g**2\/2 - g + 5. Let k(s) = s**2 + 7*s - 6. Let u be (-2)\/(16\/10 - 2). Let j(l) = u*i(l) - k(l). Give j(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 403757 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -7d (base 14) to base 12\nAnswer: -93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -401 + 172. Let k = -229.3 - n. What is the smallest value in k, -3\/4, 0.4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1416650 and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -5*i. What is the tens digit of i - (1 - -1)*-9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 989*v + 500*v + 882*v - 727*v in the form z*v + q and give z.\nAnswer: 1644","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -26, 0.1, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 163827521 divided by -143\nAnswer: -1145647","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 - 9*y**2 - 6*y + 6. Let b(a) = -11*a - 63. Let l = 73 - 78. Let s be b(l). Give w(s).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 336405 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 + -10. Let l = 2 - h. Let r = -9 + 9. Is l at least as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16854, -65671, -146434, -259137, -403774, -580339, -788826?\nAnswer: -1029229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -220893\/5 + 44181. Factor d*m - 14\/5*m**2 + 2\/5*m**4 + 0 + 0*m**3.\nAnswer: 2*m*(m - 2)*(m - 1)*(m + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 - 10*x - 9. Let z(k) = -k**2 - 6*k + 6. Let s be z(-5). Let q be a(s). Solve -6 = -h - q*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1984807 + 136787 + 1020710 = 176*n. What is the ten thousands digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = t - 7. Suppose 5*w = t*w - 456000. What is w rounded to the nearest ten thousand?\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12719365*t**3 - 4395202*t**2?\nAnswer: 76316190","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u**3 + 2399*u**2 - 1439999*u + 1437601 = 0. Calculate u.\nAnswer: 1, 1199","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 925984435 to the nearest integer?\nAnswer: 975","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(6) - (sqrt(240)\/sqrt(4))\/sqrt(10)) + (sqrt(18)\/sqrt(3) + sqrt(6) - sqrt(6))*-3)\/((sqrt(180)\/(sqrt(10) + sqrt(90)))\/sqrt(6)).\nAnswer: -12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 621\/184 - 90\/144?\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 + -8. Let j(h) = h**2 - 3*h - 5. Let l be j(5). Factor -t**2 - 3*t**2 - 16*t**4 + 24*t**4 - 4 + 8*t**b - 10*t + 2*t**l.\nAnswer: 2*(t - 1)*(t + 1)**3*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -2*g**4\/11 + 2536*g**3\/11 - 226794*g**2\/11 + 2078740*g\/11 - 5039600\/11 = 0.\nAnswer: 5, 86, 1172","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 713 (b) 1\/2 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/((q*q**(-2\/9))\/q))**(-7))**(1\/81) assuming q is positive.\nAnswer: q**(-77\/729)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1442694 and 240449?\nAnswer: 1442694","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 777 and 5565.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-64)\/(1*(-5)\/10). Suppose -t = 19*k - 793. Is k a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i + 21*i = 9*i. Let j = -3 - -3. Are i and j equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 greater than or equal to -2\/5412875?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -2. Let o(k) = k - 3. Let v(s) = -4*o(s) + 5*w(s). Let n be v(-3). Let j = n - 0. Does 4 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45543 - 45543 - 10*u.\nAnswer: -10*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 + -11. Suppose h - 120 = -2*j - 3*h, 5*j + v*h - 324 = 0. Is 11 a factor of j*(-3)\/((-18)\/4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1))**(-3\/7) assuming j is positive.\nAnswer: j**(3\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 14) to base 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1140552 (base 6) to base 7.\nAnswer: 336266","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28930, 57859, 86788?\nAnswer: 115717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one ninth of a week in minutes?\nAnswer: 1120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 682901 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14 - 72) + (11 - 0)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 12*g - 4. Suppose 0 = -0*d - 4*d - 16. Let l be -1*8\/10*10\/d. Let f be w(l). Solve f = 4*x + x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:24 AM and 8:49 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = -7*o + 10 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2963\/3 + 1079. Let f = 1930\/21 - k. Let i = 0.35 + -0.15. Put 4, f, i, 3\/7 in descending order.\nAnswer: 4, f, 3\/7, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 16*u. Let b(c) = -209*c. Determine -3*b(o) - 38*i(o).\nAnswer: 19*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 13) in base 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(312)\/(sqrt(12)*-1) + -4*(sqrt(26) - sqrt(156)\/sqrt(6)))\/(2*sqrt(32)*-1))**2.\nAnswer: 13\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7730 + 7817 + 7727 - 2*p**3 + 7730 - 31004.\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 16, 21, 36, 67, 120, 201, 316, 471?\n\"Answer: f**3 - f**2 + f + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11910 - 46607. Let f = i - -34695.4003. Let q = -1.6 - f. Round q to three decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -4*n. Suppose -4*c + 20 = -n*c. What are the prime factors of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -33.1 - -35. Let u = d - 0.9. Let n be 22\/(-8) + 2 - -2. Put u, -0.2, n in decreasing order.\nAnswer: n, u, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 38103 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1606\/1313 - -108\/101. Which is the closest to 419\/2? (a) 5 (b) y (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -4 + -2 + 2*(-1 + sqrt(1300) + -1)**2 + 1.\nAnswer: -80*sqrt(13) + 2603","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -128 (b) 0 (c) 0.1 (d) 8\/7 (e) 2 (f) -4 (g) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 976 + -328. Does 81 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 4, b: 2, a: 3}. What is prob of picking 2 l and 1 b?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 64\/21 + -619\/210. Which is the closest to -0.1? (a) o (b) 0 (c) -2\/13 (d) -1.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120*o + 127*o = 486822. Suppose o - 69546 - 5*c**4 + 20*c**3 - 20*c**2 = 0. What is c?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7631 + -7592. What is the highest common factor of 72 and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 - 3*o**2 + 2*o + 3. Let g be d(-4). Let w(k) = -9 + 30 - 38*k - 44*k + 17 + 79*k. Let a be w(g). Sort -3, a, 8, -2.\nAnswer: -3, -2, a, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-21)\/(-3) + -235)*14\/4. Let w = -798 - y. Solve w*n = 3*d - n - 12, 0 = 5*n - 15 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a - 5. Let y be o(5). Suppose 0 = -3*x + 6 - y. Suppose 3*w - 3 = -r + 5, -2*w - r = -4. Solve -z = x - w for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l**3 + 414*l**2 - 31913*l + 229320 = 0.\nAnswer: 8, 91, 315","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -265417, -1061657, -2388723, -4246615, -6635333?\n\"Answer: -265413*r**2 - r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 10}. What is prob of picking 4 z?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78)\/(-4*sqrt(6)))**2 + sqrt(26)\/(sqrt(8)\/sqrt(4)).\nAnswer: 13\/16 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -3 - 5 + 6*y - 1 - 2. Let p(b) = -15*b + 129. Let l be p(9). Find the common denominator of -59\/6 and o(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -332 + 236. Let b = a + 342. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 88881 to the nearest ten thousand.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2494*t**2 - 2494*t**2 + 4982*t**2.\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (23*b + 40*b + 16*b)*(1 - 2 - 2) in the form h + j*b and give j.\nAnswer: -237","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 + 10\/4 - 68\/(-8). Calculate the greatest common factor of t and 99.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(572)\/sqrt(275) + sqrt(156)\/sqrt(3) + -5 - ((1 + sqrt(468))*1 + (sqrt(468) + 0)*-6))**2.\nAnswer: -1944*sqrt(13)\/5 + 342072\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.04942 - 0.02633. Round t to two dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((33\/(-84))\/11)\/((-6)\/72)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1925*v + 1318*v - 1754*v.\nAnswer: -2361*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 - 32*l + 31. Let w be x(1). Put -3, -8, -1, w in ascending order.\nAnswer: -8, -3, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g - 6*g - 232200000. What is g rounded to the nearest one million?\nAnswer: -26000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = -30*s - 25, 5 = -29234*s + 29230*s + i for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 - 2*i + 2. Let r(j) be the first derivative of j**2\/2 - 2*j + 6. Let x be r(4). Calculate s(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from lwllwlwewllle.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 3*b**3 - 4*b**2 - b + 4. Let n(v) = -v**3 + v**2 - 1. Let s = 4 + 9. Let l = s + -12. Calculate l*m(q) + 4*n(q).\nAnswer: -q**3 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 126 is divided by 20?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.7 + -77?\nAnswer: -74.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/3 (b) -4\/3 (c) 10 (d) -12\/13 (e) -58\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32218127 is divided by 82?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let q = -8689\/95 + 456\/5. Suppose 0 = -17*w + 21 - 4. Which is bigger: q or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = 11*n - 53, -35*g + 4*n = -39*g + 32 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 r when two letters picked without replacement from rzevvrzezevrz?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 156 and 529056?\nAnswer: 6877728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 222240715?\nAnswer: 5, 137, 324439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1235, 8, 1 in decreasing order.\nAnswer: 1235, 8, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 5 = 3*g, 7*d - 11*d = 4*g + 4 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 250*i**4 - 2*i**2 + 38 - 249*i**4 + i**2 + (-i**3 + 0*i**2 + 0*i**2)*(4 - 2*i - 4) - 5*i**4 + 3*i**4 + 3*i**4 - i**4 + 2*i**4 - 3*i**4.\nAnswer: 2*i**4 - i**2 + 38","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 5 = -3*w + 2*s, 3*w = 5*s - 1. Let g = w + -3. Suppose -u + 0 + 79 = g. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 398202860 to the power of 1\/2, to the nearest integer?\nAnswer: 19955","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -88421*f**6 - 2*f**4 - 75*f**3 + 529*f**2 - 1390*f + 9 wrt f.\nAnswer: -10610520*f**3 - 48*f - 450","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of -o**4\/4 - o**3\/6 - 2*o**2. Let v(b) = -3*b - 1. Calculate 5*v(a) - 3*y(a).\nAnswer: 3*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 691*l**2 - 315*l - 4. List the prime factors of u(4).\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14 by -27.\nAnswer: -14\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ld when two letters picked without replacement from {d: 1, l: 2, e: 1, m: 1, s: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-3)*-3*-1. Suppose -p*v + 15 = 3*v. Let w(d) = 0*d + d**v + 0*d + 7 - 6*d**2 - d. Give w(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 2*y = -6. Let h = y - -4. What is the common denominator of h\/9*2\/1 and -5\/9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 34*d + 1. Give k(-1).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9776457?\nAnswer: 3, 137, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 - -21. Suppose -5 = 5*p - s. Let y be (-2)\/(-3) - (-26)\/6. Solve -b = -5*r + 1, -y*b + p = r + 6 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from llfflfllfllff?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-210 - 16 - 195)*(0 + 3 + d - 2).\nAnswer: -421*d - 421","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.16, -0.3, -1.351, 0.3 in descending order.\nAnswer: 0.3, -0.16, -0.3, -1.351","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2046 a factor of 286794114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 4*y - 237, -3*y + 33 = -5*x - 162. Calculate the least common multiple of 8 and y.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 166 is divided by 59.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.05 - 0.55. Let r = -3.5 - m. Let h = 2.999936 + r. Round h to 5 decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 6, d: 6}. What is prob of picking 3 i and 1 d?\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0012431518 to four dps.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -154*n + 150*n + 16 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 474, 939, 1398, 1851, 2298, 2739?\nAnswer: 3174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -2. Let q(m) = 2*m + 7. Calculate -3*l(c) - q(c).\nAnswer: -2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 + 3*j**2 + 3*j + 6. Let r be t(4). What is the closest to -1\/4 in r, 3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -40, -301, -1032, -2467, -4840, -8385, -13336, -19927?\nAnswer: -28392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 351\/156*((-32)\/(-3))\/4.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -89 - -98 - (-92)\/(-10). What is the closest to 3.8 in y, 2, 1\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1944706.96 to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, f: 4}. Give prob of sequence qqf.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 302 a factor of 2467899?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -166\/5 (b) -1 (c) 0.5 (d) 225\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 619 a factor of 518762?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -551*v - 27. Suppose 11*m - 6*m + 6 = -n, 0 = -4*m + 3*n - 20. What is the hundreds digit of f(m)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -244*c - 627*c - 291*c = -36022 for c.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -179 by -179.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 10 = 5*r - t, 6 = 3*r + t for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 35 and 40.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6552\/72*855\/(-2223)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/2, 3\/4, -3\/4, -6\/7?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (1*sqrt(132)*1 + sqrt(132))\/(sqrt(432)*4).\nAnswer: -3 + sqrt(11)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 less than or equal to 1015\/849?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 5*w - 1. Let r be k(1). Suppose -8 = -3*l + 5*d, -3*d = 4*l - r*d - 22. Let z = -5 + l. Solve -4*u = -n - z - 4, 20 = 4*u + 4*n for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sesysspsesy. Give prob of picking 2 y and 1 p.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from llhhhlhlhhhlllhh?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 (base 12) in base 4?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 991 is divided by 329?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3591)\/(-1995)*50\/12*3*(-18)\/(-45)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the second derivative of 3*j**4 - 3*j**3 - 18*j**2 + 93*j. Does 12 divide u(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 4*q - 17. Let m be h(7). Suppose -3*w = -m - 10. Let o be 0 - -1 - (3 - w). Let k(u) = -u**3 + 6*u**2 - 6*u + 7. Determine k(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1f7 - -5?\nAnswer: 1fc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2636694*q + 120590.\nAnswer: 2636694","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 384*s**2 + 221*s**2 - 111*s**2.\nAnswer: 494*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -5105210 (base 8) in base 3?\nAnswer: -2112101121200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a century in months?\nAnswer: 17400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 213 + -203. Solve q*n - 76 = -116 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 1:55 AM?\nAnswer: 2:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -4*g - 7. Let f be j(-3). Put -1\/2, f, 3\/4 in increasing order.\nAnswer: -1\/2, 3\/4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 2\/7, 610, 3\/37?\nAnswer: 3\/37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (120\/(-24))\/(2\/(-20)*-5).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -25776*w**5 + 11*w**3 + 24452*w - 3?\nAnswer: -515520*w**3 + 66*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6630?\nAnswer: 2, 3, 5, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/3, 2, -3\/2, -0.08382, 666?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9976 - -9979.8915. Round s to one dp.\nAnswer: 3.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 40\/21 (b) -2\/3 (c) 0 (d) 1 (e) -4 (f) -0.05 (g) 0.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 913 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 20 = -3*d + 4, -i + 4*d + 45 = 0. Suppose m + i = 119. Let s = m + -61. What are the prime factors of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from {f: 9, p: 11}.\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 1278951375?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + 4. Sort j, 3, 1 in descending order.\nAnswer: j, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 - -13. What is the closest to -2\/17 in 5, a, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 47966 * 9\nAnswer: 431694","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 14) to base 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 4*h + 35 = 0, 0 = 3*c - 3*h - 34 + 13. Let p = 21 - 24. Let b be (-1 + 4)*(-7)\/p. Is b greater than or equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-34)\/(-221))\/((-44)\/52)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4 + -10)*(-1)\/2. Suppose 3*y + 6*n - 3*n - 3 = 0, -3*n + p = 5*y. Solve t + 1 - 2 = y for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 less than -32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes before 11:17 AM?\nAnswer: 11:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -71*o**2 + 2*o - 37. Let l be d(9). Round l to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -2\/7 (b) 0.36515 (c) -24\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(5 + 4*4*(sqrt(605) + (sqrt(605) - (1 + sqrt(605))*4)))*2.\nAnswer: -1408*sqrt(5) - 236","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 12\/15*(-15)\/(-186). Does z = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2 + h + 5. Calculate the common denominator of -62\/3 and u(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -2*d**2 + 208*d + 201. What is c(-1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 345139950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4312.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(2) + 1))**2 + (-2*sqrt(16))\/sqrt(8).\nAnswer: 70*sqrt(2) + 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -4*x - r, -7268*x + 3*r + 2 = -7273*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -121 (base 16) in base 9?\nAnswer: -351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*i + 11 + 9 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 12 = -3*z, 5*b + 8 = z - 2*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 33699 and 141?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*w + 260 = 170*w - 587 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 14504*x + 1145826. What is z(-79)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(85)*1)\/(sqrt(45)\/sqrt(36) - sqrt(5)) - ((sqrt(272) + -2 + 4)**2 + -3).\nAnswer: -273 - 14*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q**5 + 0*q**5 - q**5)*(-1 - 1 + 0) - 2*q**5 + 4*q**5 - q**5 + (1 - 1 - q)*(12*q + 0*q + 2*q)*(-3 + q**3 + 3).\nAnswer: -9*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -763*d - 13406 - 10330 = 4326 + 6273 for d.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1144 and 4328.\nAnswer: 618904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1411248 by -88203.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 25598.60596 rounded to 0 decimal places?\nAnswer: 25599","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3024\/252 + 1 + 1177?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -103220259 by -6.\nAnswer: 34406753\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 33 - 87*s + 5 - 11 + 3. Calculate the least common multiple of 1 and t(-1).\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1677764 divided by -171?\nAnswer: -1677764\/171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (-335)\/(-15) + (-2)\/6 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 6, s: 3, y: 1, b: 2, e: 4, k: 2}. Give prob of sequence sl.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1679670814?\nAnswer: 2, 839835407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 34105 + 140092. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 - 7. Suppose -2*x - 10 = u*x - 5*b, -5*x - 6 = -3*b. Solve x = 2*g + g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1222.45 years?\nAnswer: 122.245","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 AM and 2:12 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the first derivative of -c**3\/3 - c**2\/2 + c + 1. Let h(t) = -4*t**2 - 4*t + 1. Let w = 3 + 0. Let z be w\/(-9)*(-1 + -2). Determine z*h(k) - 2*j(k).\nAnswer: -2*k**2 - 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 15*z + 87 = 0, -850128*z + 850125*z + 57 = -2*m for m.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3970 + -3987. Which is smaller: 0.07 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:14 PM and 6:07 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 9 = -3*x, n + 65*x - 61*x = -9. Solve -37 = -n*b - 23 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 3*v**2 + 5*v + 6. What are the prime factors of m(-6)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2245?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 819930 and 38010?\nAnswer: 5739510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/9)\/((65\/60)\/13)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 1190*h**2 + 11*h + 19. What are the prime factors of v(-2)?\nAnswer: 67, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2366213\/210 - -33800\/3. Calculate the common denominator of b and -3 + (-33)\/(-12) - 1155\/(-120).\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -39328, -78655, -117980, -157303, -196624?\n\"Answer: c**2 - 39330*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - a = 290, j - 4*a = -a - 58. Does 5 divide j\/(-6) + (-5)\/(-15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6174722 plus 0.05?\nAnswer: -0.5674722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 46096 by 4.\nAnswer: 11524","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -k**5 - 114*k**4 - 1452*k**3 - 5176*k**2 + 2688*k + 28800 = 0.\nAnswer: -100, -6, -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 114.754 times 2?\nAnswer: 229.508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -6772 divided by 27\nAnswer: -6772\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -18bc4 - 4?\nAnswer: -18bc8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2386*r + 20 = -2382*r. Suppose 14*g - 17*g = -r*i - 35, 5*i + 3*g + 5 = 0. Put 15, i, -2 in ascending order.\nAnswer: i, -2, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c - 2. Let w be p(-7). Let z = 0 + 3. Sort 1, z, w in increasing order.\nAnswer: 1, z, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 445*a - 12799 + 18139 = 0 for a.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(3\/(-171)*3). Let c = 19 + f. Solve 5*h = j - 5, c = -2*h + 6*j - j - 2 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1461 + 1176. Is -1\/6 greater than or equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (52 - 54) + (9 - -2)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10119*r - 4*x + 23 = 10126*r + 105, 2*x + 6 = 0 for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4801037\/126 - -38103. Let b = 9\/14 - v. What is the common denominator of b and 29\/6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 + 3*y**2 + 2. Let u be t(-2). Suppose d - 2 = u. Is 8 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6234800 and 6234800?\nAnswer: 6234800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 + 32*t - 66. Calculate a(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 18*a**3 + 2*a**2 - 10*a + 8. Calculate the remainder when f(1) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5\/10*4 + (-22)\/12. Which is the biggest value? (a) o (b) 8 (c) 0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -5268*i - 3718. Determine x(-1).\nAnswer: 1550","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1)\/48)\/((-5)\/10). Let a(z) be the second derivative of 0 + z**2 + 2*z + b*z**4 - 1\/3*z**3. Factor a(u).\nAnswer: (u - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1258 greater than or equal to -645?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 259854 and 33810?\nAnswer: 966","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 - 9 - ((9 - -13) + -95).\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 70312?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -10000110110011111110 (base 2) to base 13\nAnswer: -164452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of -r**5\/10 + r**3\/2 - 6*r**2. Let h(i) = -25*i**2 + 13. Let w(c) = -6*h(c) + 26*k(c). Let b(l) = -2*l**2. Calculate b(w(d)).\nAnswer: -72*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10 and 55.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i**4 - 12*i**3 - 18*i**2 + 188*i - 240 = 0. Calculate i.\nAnswer: -4, 2, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 144 and 16?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 137 = 139. Let v be -12*11\/297 - (-66)\/27. Does 35 divide b\/5*10\/v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 50\/(-30)*12\/(-10). What is the derivative of -10*y - y + 25 + h + 5 wrt y?\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of 0*w**3 - 1\/120*w**6 + 0 - 1\/120*w**5 + 0*w - 4*w**2 - 1\/24*w**4. Let c(b) be the second derivative of d(b). Calculate c(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4239*a = -4246*a - 7 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 69.48 - 2.48. Let y = -0.12299369 + -66.87757631. Let x = y + n. Round x to 4 dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -81666, -81655, -81642, -81627?\n\"Answer: g**2 + 8*g - 81675","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 158*b + 67. What is the remainder when j(9) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(1\/3)*r*r)**1\/(r**(-1))**(-1\/23) assuming r is positive.\nAnswer: r**(227\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times -0.2?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 216, 422 in descending order.\nAnswer: 422, 216, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*r - 4 = r + 246 for r.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + a**2)*(-2*a + a - a) - a**2 - 27194*a**3 + 27139*a**3 + a**2.\nAnswer: -57*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.077*-4566\nAnswer: -351.582","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3507 divided by -167?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - 15)\/(-8)*10\/(-285)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3378534027 to the power of 1\/3, to the nearest integer?\nAnswer: 1501","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(132)\/(sqrt(11)*4))\/(sqrt(324)*1))**2*6.\nAnswer: -4*sqrt(3)\/3 + 6913\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 PM and 5:14 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40 is divided by 22?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oh when two letters picked without replacement from {o: 2, h: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n - 3*n + n**2)*(4 - 4 - 2) - 5 - n**2 + 5 - n**2 - n**2 - n**2 + (-2 + 2 + 2*n)*(-97*n + 93*n + 111*n) - n**2 - 1 + 1.\nAnswer: 207*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 18, t: 2}. Give prob of picking 2 t and 1 z.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 - 12*p**2 - p - 10. Let z be l(-12). Solve 0 = 7*i - 3*i + 5*o + 40, 0 = -4*i + z*o - 12 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -6*l - 3. Let q be (-4 - l) + -9 + 16. Let y(m) be the third derivative of m**4\/12 - m**3\/2 - 23*m**2. Calculate y(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24035\/12 + 5323\/4. Let n = -675 - r. Let b = -1379\/4112 + 38\/257. Find the common denominator of n and b.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -1, -70?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -1\/3, 3, -3425?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16498?\nAnswer: 2, 73, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -143*y + 145*y - 72. Is 12 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -282625374 divided by 326\nAnswer: -866949","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2819424227 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 36.45\nAnswer: 38.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2096282 and 1302.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 89 and -1.23627.\nAnswer: 87.76373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*i - 5 + 494*i - i**2 + 5.\nAnswer: -i**2 + 533*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**2 - 21*c - 38. Does 3 divide b(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2890\/34*(-680)\/(-850).\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -40103*s + 160272. Give y(4).\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8.73 + -477.27. Let j = d + 485.999999446. Round j to 7 decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccbc when four letters picked without replacement from aabbpaacccaa?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 - 7*a**2 - 4*a - 6. Suppose -8*y + 4*y = -16. Suppose -y*r = -7*r + 18. What is the remainder when s(-7) is divided by r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 663, 650, 625, 582, 515?\nAnswer: 418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 AM and 12:22 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 3*g**2 + 5*g - 6. Let a be v(6). What is the greatest common divisor of 12 and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 20*u**2. Suppose 19*v + 23 - 257 = -7*v. Let s(r) be the second derivative of -v*r - 1\/12*r**4 + 0*r**2 + 0*r**3 + 0. Give s(h(w)).\nAnswer: -400*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -6*s + 227. Calculate the remainder when n(10) is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -13*k - 7. Let a(x) = 15*x + 8. Let l(u) = 6*a(u) + 7*c(u). Let t(r) = -30*r - 18. Calculate -18*l(n) + t(n).\nAnswer: -12*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -312 - 1?\nAnswer: -313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -1\/6, -1\/5, -2746, 7.33, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1812 divided by -302?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 3*i**2 - 3*i + 2. Is 14 a factor of r(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/(-60)*(-14)\/21)\/((-84)\/(-60)).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -11*w**2 - 8*w - 6. Let t be s(-10). Calculate the common denominator of -53\/30 and 1\/(-8) + t\/(-240).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10 + 2300?\nAnswer: 2310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 73, 88, 119, 172, 253, 368?\n\"Answer: t**3 + 2*t**2 + 2*t + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -2*v**3 + 38*v**2 + 21*v - 77. What is the units digit of m(13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15\/19 + 203\/209. Let j = -14\/33 + 362\/231. Calculate the common denominator of o and j.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q + 2. Let f be v(-1). Solve -24 + 9 = -f*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 + -13. Let s(h) = -1 - 3*h**2 + 0*h**3 - h**3 + 2. What is the units digit of s(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*b - 9*b - 3*b.\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4754?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -12. Let j = i - 8.5. Is 1 < j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4845638159 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1665 and 1850.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1292 + -1287. Solve -i*w + 18 = 8 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, k: 2, w: 1}. Give prob of sequence kww.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 18772, 16782, 13460, 8800, 2796, -4558, -13268?\n\"Answer: -l**3 - 660*l**2 - 3*l + 19436","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13.21 - -13.17. Which is smaller: 106 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 126 + -64. What are the prime factors of o?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -4*f + 2*f - 4 + 4*f. Let c be z(4). Suppose -c*k = 6 - 18. Sort -5, -2, k in decreasing order.\nAnswer: k, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-9)\/(-7) + (-8)\/28. Let o be j\/2*(-58)\/(-12). Let r = o + -8\/3. Which is smaller: 0 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2952 - -2947. What is the biggest value in 457, x, -6?\nAnswer: 457","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -16 + 0*b + 12*b - 32 - 5. List the prime factors of r(16).\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-2)*d)\/(d**(-2\/7)\/d*d))\/((d**7*d)\/(d*d\/d**(3\/2))))**(-17\/2) assuming d is positive.\nAnswer: d**(1955\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the third derivative of -437*y**5\/60 + 85*y**3\/6 + 288*y**2. Find the first derivative of m(u) wrt u.\nAnswer: -874*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.3, -6.07, -0.4, -1?\nAnswer: -6.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 315\/(-6372) + (-12)\/885*(-535)\/(-214).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 2*g + 1)*(1 + 0 - 2) - 32*g - 9*g - g + (-2 + 4 - 3)*(2*g - 18*g - 6*g) as r + k*g and give k.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19829\/9 + 2203. Let r(h) = -h**2 - 10*h + 3. Let b be r(-10). What is the closest to 2\/7 in 9, b, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 1\/4 (b) 2 (c) 20 (d) -274\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1019 + -1011. Solve 0 = -3*h - m + 7, 4*m + w = 5*h + 2 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of -i**5\/4 - 5*i**4\/12 + 5*i**3 + 4*i - 11. Solve v(w) = 0 for w.\nAnswer: -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*y + 86 - 2 = -66 for y.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 24116993627 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 13) in base 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 + 5*r**2 - r + 4. Let v be a(-4). Let q = 56 - v. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10202130 is divided by 1479?\nAnswer: 1467","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 88 and 2920.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 12 = 2*v, -4*v + 3 = -2*h + 13. Solve 8*i - 10 = -3*t + h*i, 4*i + 4 = -t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, h: 1, t: 1, w: 2}. What is prob of sequence twew?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 4 = -4*d. What are the prime factors of (14\/(-2))\/(d + -3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of -m**4\/4 - 7*m**3\/3 + 3*m**2\/2 + 9*m + 5. Let a be w(-7). List the prime factors of 1*2*a\/(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*t**4 - 58*t**3 + 74*t wrt t?\nAnswer: 24*t**2 - 348*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -44.368 to 1 dp.\nAnswer: -44.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the second derivative of -h**3\/3 - 4*h + 13. Let w(n) = 148*n. Give w(z(t)).\nAnswer: -296*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 535?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2\/44949 + -301427984\/224745. Are -1341 and t equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 2 - 3 - 5*t**2.\nAnswer: -5*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 102 + -4?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and -0.05.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 12 = -4*p. Let s(b) = 7*b - 9. Is s(p) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/7912 and -33\/130.\nAnswer: 514280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 554*z**4 - 1002 wrt z?\nAnswer: 2216*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11102643 to the power of 1\/2, to the nearest integer?\nAnswer: 3332","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 209530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 PM and 4:14 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 90 - 87. Let c(f) be the second derivative of 0*f**5 + 1\/30*f**6 - 1\/3*f**x + 0 + 0*f**2 + 0*f**4 + f. What is the second derivative of c(d) wrt d?\nAnswer: 12*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -4, -60, -196, -448, -852?\n\"Answer: -6*y**3 - 4*y**2 - 2*y + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 161 is divided by 109?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 7, z: 2, j: 1, c: 5, a: 1}. What is prob of sequence cppp?\nAnswer: 5\/208","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1544 + 1588. Solve 5*b = -6*b - n for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2 - 60*h + 260. Determine d(30).\nAnswer: -640","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 24 - 20. Factor 77*x**3 - x**i - 82*x**3 - 3*x**4 - x**4.\nAnswer: -5*x**3*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*q - 3 = 56*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -377\/18 + 21. Let i(h) be the third derivative of 1\/9*h**5 + 0 + 0*h - 2*h**2 - f*h**4 - 5\/72*h**6 + 0*h**3. Solve i(v) = 0.\nAnswer: 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 7 - 37 = 0. Suppose -z*r + 12 = 2. Sort -11, 3, r, 4.\nAnswer: -11, r, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -10*n + 0*n + 33*n**2 + n - n**2 + 2. Let u(q) = -q. Let d = 33 - 47. Let p(a) = d*u(a) - 2*x(a). Factor p(l).\nAnswer: -4*(4*l - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11936563 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: 2053510 (base 6) to base 13\nAnswer: 36a56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + g - 11 = 0, r + 16 = 3*r + 5*g. Let p(f) = -4*f + 222. Let y be p(55). Solve 10 = -y*l - r*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i + i - 2*i)*(32558*i - 12 + 46033*i + 3 - 18277*i + 9).\nAnswer: 120628*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-3*k - 2 + 2)*(9*k - 2*k - 6*k) + 7*k**2 - k**2 - 2*k**2)*(-6 + 4*k**2 + 6) as m*k**3 + g*k**2 + b*k**4 + p*k + u and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rs when two letters picked without replacement from {r: 2, s: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -22*r + 43. What are the prime factors of q(-5)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 126, 267, 408?\nAnswer: 549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 5*q - 28 = -17, -5*z - 4*q + 17 = 0. Calculate the lowest common multiple of z and 91.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 92106 and 95319?\nAnswer: 1071","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of 4*u**3\/3 - 6*u**2 - 40*u + 124. Solve p(o) = 0 for o.\nAnswer: -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4396 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l + 0*l + l)*(1251 - 2062 - 726).\nAnswer: 3074*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -60 - -58. Let h be -1 + t*12\/8. What is the remainder when 33 is divided by -2 + 1 + (-5 - h) - -9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8039 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 789*p**4 + 2*p**2 - 323*p - 25981582 wrt p.\nAnswer: 3156*p**3 + 4*p - 323","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-2)*-16*(-812)\/1624.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-24)\/(-78)*104\/16. Suppose -3*j + 5*s + 29 = 0, -4*j - 8 = 5*s - 0. Let v be ((-8)\/j)\/u*1230. What is v rounded to the nearest one hundred?\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 + -122?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 2 - 2)*(6*y - y - 2*y)*(-4*y + 4*y - 2*y).\nAnswer: -24*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*v + 2*v - 4*v)*(5*v + 4*v + 0*v - 5*v).\nAnswer: -32*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-61120)\/(-559520))\/(-191)*-1*13?\nAnswer: 2\/269","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 212551 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*a**3 + 100*a**2 + 105*a = 0. What is a?\nAnswer: -1, 0, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 1)*(-6 + (17017\/748 - (-1 + -4)))\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(((-30)\/6)\/(-5))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -292 = -12*s - 340 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 3*f**2 + 2*f - 18. Let c(j) = j**2 + j - 1. Calculate 5*c(b) - o(b).\nAnswer: 2*b**2 + 3*b + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 4*s + 198 = -0, -114 = u + 3*s. Let o be ((-12)\/14)\/(3\/u). Solve -o = -5*h - h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 p when four letters picked without replacement from pppppppppaapp.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the third derivative of -a**10\/504 + a**6\/90 + a**3 - 21*a**2. Let b(u) be the first derivative of t(u). What is the third derivative of b(l) wrt l?\nAnswer: -1200*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1402?\nAnswer: 2, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 117 divided by -5\nAnswer: -117\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-19)\/(-6) + (-49)\/98*1\/3. Which is the nearest to -49? (a) 0.4 (b) i (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46386 = -14*y + 11*y - 4*t, -y + 15448 = -t. Is 192 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -57 - -73. Let w(a) = -7*a - 7*a + g*a - 3*a. Let i(c) be the third derivative of -c**4\/12 - c**2. What is i(w(n))?\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s - 17. Determine j(-10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n = 3*b - 15, -13*b + 6*n + 11 = 11*n for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.55724 and -65832304.\nAnswer: -65832303.44276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 57408331 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*s - 45*s + 3*s + 4*s**3 + 1 - s**3 - 32*s as u*s + d + a*s**3 + c*s**2 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1872*x - 1008*x - 1001*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1437213 and 94?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 4995?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.022 + -0.022. Which is the nearest to -2? (a) j (b) 0.5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1109835450?\nAnswer: 2, 3, 5, 79, 31219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 8542, 34162, 76862, 136642, 213502, 307442, 418462?\n\"Answer: 8540*o**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*t + 10*t - 8 = 0, -5*o = 3*t - 188. Let d = 49 - o. Suppose -d*r = -4*r - 3*q - 767, 0 = 3*r - 4*q - 469. What are the prime factors of r?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 59, -5, -2, -1, -44402.\nAnswer: -44402, -5, -2, -1, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 617*m**3 + m**2 - 130*m**3 + 602 - 368*m**3 + 1491*m**3 + 1485*m**3 wrt m.\nAnswer: 18570","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 20 = -a + 5*p, -3*a + 18 = -p. Suppose -v + 1 + a = -d, -2*d = -4*v + 18. Which is smaller: v or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -111 and -79 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n*n**13))\/n)\/((((n*n*n**(-2\/27))\/n)\/n)\/n)*(n\/n**(-13))\/n*n**(-8\/7) assuming n is positive.\nAnswer: n**(-202\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 6*p = 0. Solve -2*u + 8 + 0 = p for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 10 = n, 10*n = -x + 6*n - 19 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 15 - ((29 + -30 - 9) + 26)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.958 + -0.002. Let b = -15.04 + 15. Let n = b + s. Which is greater: 15 or n?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.27213520574 rounded to five decimal places?\nAnswer: 0.27214","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -4*u**3 + 3*u**2 - 2*u + 7. Let w be x(3). Let z = w + 134. Is z a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1874592 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 2 - 1)*(0*p + p - 3*p) + 8*p - 7*p + 13*p)*(5*p + p - 3*p)*(4*p**2 - 3*p**2 + 0*p**2).\nAnswer: 36*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -491 = -3*d + 16. Does 13 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + 5900?\nAnswer: 5895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 3 = -2*q - i, 0 = q + 3*i - 1. Suppose 2*o - 32 = -x + 5*o, 0 = 5*x + 4*o - 65. Let b = q + x. What is the remainder when 35 is divided by b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 - 10*o**2 - o - 17. Calculate d(-10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of 1\/40*j**5 + 0*j**3 + 0*j**2 + 9*j - 1\/720*j**6 + 0 + 1\/3*j**4. Let n(b) be the third derivative of m(b). Calculate n(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 174464381 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 108\/147049?\nAnswer: 108\/147049","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(275))**2 - (-2 + sqrt(44) + sqrt(11))**2.\nAnswer: 22*sqrt(11) + 173","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 78.1 + -84. Let o = -5.90000174 - u. What is o rounded to seven decimal places?\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.13 and -30760.\nAnswer: -30759.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*s + 18*s - 1914 + 1566 - 1884 = 0 for s.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -5*d. Let s(z) = 3*z - 6. Let c(i) = -f(i) - s(i). Let a(j) = -j**3 - 5*j**2 - 3*j. Let r be a(-2). Determine c(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 30 + 9 = 6*y - 3, j - 2*y + 2 = 0 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22064 to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/1 - (11 - 18). Suppose -c + 30 = t. List the prime factors of c.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 - -5. What is the remainder when 33 is divided by (-32)\/(-2) + (-2)\/x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -3 (b) -2 (c) 1\/4 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -t - y + 28, t = -5*y + 5. Let d = 8 - t. Does 6 divide 2\/d + 88\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, q: 2, h: 1, z: 4, x: 3}. What is prob of sequence zz?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41.30982 centuries to years.\nAnswer: 4130.982","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 43455321 (base 6) to base 10\nAnswer: 1298497","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*x - 5*h + 20, -5*x + 38*h = 42*h - 17 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -9274999*b - 4. Let m be j(4). Let y = 157 + -160. Let r be (m\/21)\/(1\/y). What is r rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 3*o**2 + 2*o. Suppose -2*u = u - 36. Suppose 0*y + 4*y - 3*j + 14 = 0, 2*y + u = 4*j. Calculate d(y).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 384093013 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 + 11*s**2 - 11*s + 12. Let k be z(10). Suppose 4*y - 6 = k*y. Suppose 45 + 0 = y*r. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 15\/2 (b) -0.5 (c) 0.17451 (d) 5 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.226 times -0.1?\nAnswer: -0.0226","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4613611 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 99 and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 588936480 to the nearest integer?\nAnswer: 838","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 56984, 113964, 170944?\nAnswer: 227924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21, 232, 625, 1194, 1933, 2836, 3897?\nAnswer: 5110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 123117 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 179997.4ml?\nAnswer: 179.9974","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*(-10)\/(-40)*(-6)\/4?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 0.2, -193514, -31.9 in descending order.\nAnswer: 0.5, 0.2, -31.9, -193514","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-336 + 1706 + 125)*(-2*a**4 + 4*a**4 - 5*a**4) to the form k*a**3 + d*a**4 + c*a**2 + l + v*a and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -9*p - 5. Let s(w) = 1. Let m be 2 - 11 - (-5 + (-3 - -5)). Determine m*s(u) - l(u).\nAnswer: 9*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 + -4. Let l = 6 + c. Which is bigger: l or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 = -77*m + 89*m. Let h be -2 + -3*(-14)\/6. Suppose h*g - 2 = 3*g. What is the greatest common divisor of g and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - 11 - (-6 - 2).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -2*t + 3. Let c = 14 + -8. Suppose 3*p + 3*s - c = 0, 0 = -3*p + 3*s - 9 - 15. What is the third biggest value in t, p, 0.5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2a - 6?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 300 + -1494\/5. Let k = 0.355 + -0.255. Which is the fourth biggest value? (a) -0.1 (b) k (c) -3\/5 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -2*a**2. Let i(g) = 41*g - 52*g - 17*g. Determine c(i(y)).\nAnswer: -1568*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -310 - -243?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*-6*1\/10*(-1420)\/18744?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -8*(0 + (-6)\/(-152)). Is -1 bigger than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 + 25. Let k(m) = -m + 1. Let g be k(1). Suppose -v + 3*v - 5*q - 85 = 0, g = -v + 3*q + 44. What is the highest common factor of v and s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ni when two letters picked without replacement from {m: 2, n: 1, i: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -60891\/7 > -8699?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -170, 37 in descending order.\nAnswer: 37, -2, -170","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -103, -1054, -3627, -8632, -16879, -29178, -46339, -69172?\n\"Answer: -135*p**3 - p**2 - 3*p + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -427, 2, 5, 0.1 in decreasing order.\nAnswer: 15, 5, 2, 0.1, -427","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 - 6*w**2 + 4*w + 12. Let x be g(9). Is 6*(-4)\/(-6) + x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.553218 times 39?\nAnswer: 177.575502","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c**2 - 1000 - 460 + 76 + 200.\nAnswer: -2*c**2 - 1184","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f. Let x(g) = 5330 - 68*g - 5325 - 29*g. Give x(u(d)).\nAnswer: 97*d + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -6689, -8114, -9541, -10970, -12401, -13834?\n\"Answer: -d**2 - 1422*d - 5266","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -9250834 equal to -9250830?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2\/7, 0, 5, -2\/147, 2\/5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 234 + 6 = -40*t for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143)\/(-1*sqrt(11)) + sqrt(325)*6 + (3*(sqrt(13) + 0) - (sqrt(325) + -2)))**2.\nAnswer: 108*sqrt(13) + 9481","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.363 + 677.637. Let c = -679.0567 + s. What is c rounded to three dps?\nAnswer: -0.057","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5ba (base 13) in base 15?\nAnswer: -468","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 425 is divided by 143.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 times -4?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h**4\/7 + 309*h**3\/7 - 118737*h**2\/7 + 230397*h - 797790 = 0 for h.\nAnswer: -262, 7, 145","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from caaccnanncscnccnana. What is prob of picking 4 c?\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y*y*(y*y**(5\/4)\/y)\/y))\/y)**(-28)*y**(2\/43)*y**(11\/2) assuming y is positive.\nAnswer: y**(5895\/86)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - -112010120?\nAnswer: 112010120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 + 6*u**2 + 8*u + 2. Let p be q(7). Suppose 1 = -2*h + p. Suppose 0 = -2*n - 3*f + 20, h*n + 29 = 7*n + 4*f. What are the prime factors of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 6*v**2 + 4*v - 17. Let n be w(-6). Suppose 4*l + l - n = 0. What are the prime factors of l?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 AM and 10:25 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + j**3 - 4)*(j + 0*j + j) + (0 + 0 - 3*j**3)*(-2*j + 19*j - 4*j) to w*j**2 + m + b*j + i*j**3 + q*j**4 and give q.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2594996000?\nAnswer: 2, 5, 757, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of 0*j - 102 - 33\/2*j**2. Let l(b) = -2*b. What is l(u(i))?\nAnswer: 66*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 21*b**2 + 42*b + 2. Let v = -67 + 65. Let o(n) = -22*n**2 - 42*n - 3. Let k(m) = v*o(m) - 3*j(m). Find the second derivative of k(l) wrt l.\nAnswer: -38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -980*v + 194*v = -20436 for v.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -198, 4, 0 in descending order.\nAnswer: 4, 0, -198","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jojojjr. What is prob of picking 3 j?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -69915, -282595, -637063, -1133319, -1771363, -2551195?\n\"Answer: -70894*p**2 + 2*p + 977","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-1 + 0 + 0)*(-1 + 0 + 2) + 8 + 36 - 110)*(b + 4*b - 3*b)*(1 - 2 - 1) to the form l*b + u and give l.\nAnswer: 268","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (5\/2)\/((-3)\/6). Let z be (-16)\/(-12)*(-3)\/(-2). Sort w, z, -3 in descending order.\nAnswer: z, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 3870?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3722310495 a multiple of 4365?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 + (-2397)\/(-119))*(-7 - (-189)\/18)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 a, 1 e, and 1 c when four letters picked without replacement from aajeaeeeaqce.\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1060009 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 83403505 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) -2 (b) -384033 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z + 24. Calculate k(-14).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 2000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 1583212?\nAnswer: 7916060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -32.16 + 0.16. Let z = t + 32.07. Suppose -7*p = 7*p - 10*p. Which is the second biggest value? (a) 0.5 (b) p (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -379, -568, -775, -1006, -1267, -1564, -1903, -2290?\nAnswer: -2731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -256, -254, -252, -250, -248?\n\"Answer: 2*g - 258","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -49 + 148. Let d(u) = -u**2 + 2*u - 1. Let g be d(1). Suppose g = -7*h + 3*h + 44. Calculate the highest common divisor of p and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -57\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2472 divided by 618\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 AM and 12:25 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/11, 4, 2, 434, -237.4, -1?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = 9*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3168587?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1.6767 times 0.05\nAnswer: -0.083835","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3 from 0.337793.\nAnswer: 3.337793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -75, -152, -229, -306, -383?\n\"Answer: -77*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 60*t - 1138. Let j be g(19). Let y(f) = -399*f - 21. Let w(i) = 40*i + 2. Determine j*y(u) + 21*w(u).\nAnswer: 42*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 62 + -60.1. Let k = q - 1.5. Which is the smallest value? (a) -0.16 (b) k (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (9 - (-267)\/(-30))*-1. What is the fourth smallest value in y, 1, 0, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1048055021?\nAnswer: 13, 47, 131947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 8224903 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 56 - 39. Suppose -g - 2 = w + 1, 3*w = -g - i. Let t = w - -13. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*i - 2 + 2*i + 3)*(-1 + 1 + 2*i)*(2*i - i + i).\nAnswer: -12*i**3 + 4*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f**4\/7 - 1766*f**3\/21 + 19102*f**2\/3 - 553610*f\/21 + 168200\/7 = 0.\nAnswer: 4\/3, 3, 145","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are 1229702\/7 and 2\/3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -4*i**3 + 4*i**2 + 5*i - 4. Let z(p) = -p + 13. Let s be z(18). Let q(j) = -5*j**3 + 5*j**2 + 6*j - 5. Give s*q(d) + 6*x(d).\nAnswer: d**3 - d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 5*m**2 + 359*m - 63071. Give r(82).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 220*t. Let m(b) = -7*b. Determine y(m(z)).\nAnswer: -1540*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-33 + (-91800)\/(-2781))*71\/(-15) and -119\/1854?\nAnswer: 9270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (11 - (12 - 8)) + -8\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-3)\/(-819)*3*(-210)\/(-30).\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5843 + -3692. Is s a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -751*w - 12342. Calculate k(-17).\nAnswer: 425","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, -1, -5, 8, 2 in descending order.\nAnswer: 8, 2, -2\/3, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/((-4)\/132*-11)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 74624, 74637, 74664, 74711, 74784?\n\"Answer: a**3 + a**2 + 3*a + 74619","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 3 = 3*t. Let s = 9 - 6. Suppose f + 0*f = y - 11, -s*y - t*f = -3. What is the highest common divisor of 54 and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2015564393 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 5*c - 30 = 0, -4*h = c + c + 12. Let o = -17.1 + 4.7. Let n = o + 18.4. What is the third smallest value in -4\/7, h, n, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in one fifth of a tonne?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 1178*s - 1177*s. Let a = 6 - 2. Suppose -2*p = 2*w - 2, -w - a = -4*p + w. Sort p, s, -2 in decreasing order.\nAnswer: p, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the third derivative of y**6\/120 - y**5\/12 + y**4\/24 + y**3\/6 + 3*y**2. Let a be i(4). Let t be (-2)\/((4\/2)\/(7 - 9)). Is t <= a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*m*p*t**3 + 1745305*m*p - 23*m + 2977812*p*t**3 + 148*p wrt m?\nAnswer: 2*p*t**3 + 1745305*p - 23","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 88*y - 3. Is s(9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 286759 divided by 11.\nAnswer: 26069","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, d: 2, e: 2}. What is prob of sequence ree?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = 2*r. What is the common denominator of 53\/7 and -3*(r + 3\/(-18))?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 + 5*z**2 + z + 4. Let h be m(5). Suppose 0 = 3*o + 5*u - 1 - h, -4*u + 8 = 4*o. Solve 0 = -x - 4*s - 4, -2*x + 6 = -o*x + s for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/246 and -31\/22814.\nAnswer: 2806122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -384 - -1165\/3. Find v such that 0 + b*v**2 + 2\/3*v + 20\/3*v**3 = 0.\nAnswer: -2\/5, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1.445 (b) -2 (c) -0.4 (d) 26 (e) -1 (f) -53.4 (g) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 1)*(2*b - 4*b + b)*(0*b**3 + 0*b**3 - b**3).\nAnswer: 2*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -283*w - 5600 = -311*w. Calculate the least common multiple of w and 400.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (42\/(-12))\/(1\/(-94)). Let z = d + -34. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88 = -25*t - 90*t + 27*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -42.724 rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + 4. Suppose -4*y = 3*i - 2*y - 20, 2*i = -d*y + 8. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 24 + 11. Suppose 0 = -3*t + q + 17. Suppose -230 = t*o - 10*o. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -30 - -28. Let y = 2.9 + -7.9. What is the biggest value in y, -20, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2 - 3*f + 14. Let c be h(0). Let i(n) = n**3 - 14*n**2 - 2*n + 14. Let v be i(c). Is v\/2*(-331 - (3 + -3)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + 301 = -700. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of 0*q**2 + 0*q**3 + 1\/90*q**6 - 6*q + 1\/60*q**5 + 0 - 1\/126*q**7 - 1\/36*q**4. Solve c(a) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -13*a**2 - 86*a + 38. Let g be v(-6). What is the greatest common divisor of 43 and g?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 400028762 to the nearest integer?\nAnswer: 737","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(0 + sqrt(208))**2 + (-3 + sqrt(52)\/sqrt(4) + sqrt(13) - sqrt(13)) + -1 + (-3*sqrt(156)*-1)\/((sqrt(36) - sqrt(1296))\/sqrt(3)).\nAnswer: -1252 + 2*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 2148.\nAnswer: 5\/2148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4994?\nAnswer: 2, 11, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (28*h - 13*h + 32*h - 11*h)*(-6*h + 2*h + h) to the form t*h**2 + a + g*h and give t.\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4387 and 533.\nAnswer: 57031","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28\/17, -1, 3, 144.\nAnswer: -1, 28\/17, 3, 144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 4 - 21 = 0, -c + 10 = 3*g. Let r = -2 + g. Solve 2 = -r*p - 1 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -k + 10, 2*k - 6 = 4. Sort -5, 0, v in increasing order.\nAnswer: -5, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 0, -0.263 in descending order.\nAnswer: 0, -0.263, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/6)\/((-3)\/909). What are the prime factors of (x*5)\/((-42)\/84)?\nAnswer: 2, 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = b - 3*m, -5*m = 3*b - 2 + 1 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -187, 0.114, 3?\nAnswer: 0.114","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-13)\/(-18) + -2 + 2538\/1692. Sort 5, 83, 1, -0.3, a in decreasing order.\nAnswer: 83, 5, 1, a, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -6\/427 and 53\/4270.\nAnswer: 4270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 56843 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -152894*o**4 + 91564*o wrt o.\nAnswer: -1834728*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 163 divided by 6?\nAnswer: 163\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91506597?\nAnswer: 3, 7, 13, 17, 19717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b**3 - 1048*b**2 + 19303*b + 122590 = 0. Calculate b.\nAnswer: -1066, -5, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2371*y**5 - 919*y wrt y.\nAnswer: -47420*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 u when two letters picked without replacement from {w: 7, u: 1, r: 12}.\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2638 - 2181. Is j a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 48*s + 1. Let g be n(1). Let v be (-2)\/(-2) - g\/(-7). Let c(a) = a**2 - 5*a - 8. Is 9 a factor of c(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*s + 0*s + s + (3*s + s - 3*s)*(0 - 1 - 1) + (-5 + 2 - 2)*(-2*s - 4 + 4) as k + f*s and give f.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 divided by -11?\nAnswer: 17\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 206425, 825788, 1858093, 3303346, 5161553, 7432720, 10116853, 13213958?\n\"Answer: x**3 + 206465*x**2 - 39*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 7*v**2 - 2*v - 4. What is w(-2)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -5*z + 50, -4*r - 8 = 4. Suppose 0 = -3*a + 4*a - z. Let f = 15 - a. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mr when two letters picked without replacement from rrrrmrmm?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 - 4) + 5 + -1. Suppose 2*j + 3*j - 15 = v, 0 = -3*t - 3*j + 4875. Let r = 2529 - t. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4\/9, -5, 143 in ascending order.\nAnswer: -5, -2, -4\/9, 143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18242 and 266?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19 + 52 + 59)*(r**2 - 2*r + 2*r).\nAnswer: 92*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are 2378 and -72 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes before 12:23 AM?\nAnswer: 7:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 19\/2 + 2\/(-4). Suppose -32 = -132*q + 128*q. Which is smaller: v or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2556 - -51053\/20. Let q = 11\/4 + h. What is the second biggest value in 0.4, q, 2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*b + 1 - 1)*(0*b + 0*b - 2*b) + 3*b**2 - 4*b**2 - b**2)*(47*b**2 - 8743*b + 8743*b + (-2*b**2 + 1 - 1)*(-2 + 4 - 3)).\nAnswer: -294*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2 - 9*r + 51. What is n(-12)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 311012143 (base 5) in base 12?\nAnswer: 510b58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 13*14\/(-2548)*-7?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, t: 9, j: 4}. Give prob of picking 1 v and 1 t.\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 13 = -5*p + p, 1 = -2*p - 3*a. Suppose -p = 26*u - 28*u. What is the second derivative of 7*r**2 + 14*r**2 - r**u - 31*r + 5*r wrt r?\nAnswer: 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.44 - 1746.256042.\nAnswer: -1746.696042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2185884912 a multiple of 1902?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-14)\/(-4)*(-114)\/(-133). Sort -15, -2, q in decreasing order.\nAnswer: q, -2, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 6*q - 3. Let u(c) = 8 - c + 6 - 13. Determine d(l) + 4*u(l).\nAnswer: 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -48*j**2 + 27*j + 9. Let m(d) = -12*d**2 + 6*d + 2. Give -9*m(c) + 2*y(c).\nAnswer: 12*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 5*w - 13929 = 0, 1092 + 19779 = 3*n - 3*w. List the prime factors of n.\nAnswer: 2, 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 990*l + 66. Let i(c) = 247*c + 17. Let r(t) = -9*i(t) + 2*q(t). What is the hundreds digit of r(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 35 and 1068.\nAnswer: 37380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16118121?\nAnswer: 3, 1861, 2887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 - 8*m + 6. Let i be f(9). Suppose -2*r + 29 = -i. Let w = 4 - -60. Calculate the remainder when w is divided by r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3444 is divided by 30?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 31*t - 2*j - 186, 0 = -1312927*t + 1312924*t + 4*j + 136 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 22 = -y, 5*y + 2*d = -0*d + 58. Find the first derivative of -3 - 9 + y*k**3 + 5 wrt k.\nAnswer: 30*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 59.406+-0.5\nAnswer: 58.906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -6*1*1\/(-1). Is 5 smaller than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1773 not equal to 1773?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1335 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 3*u - 18 = 0, -5*u - 157 - 33 = -5*g. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes after 6:47 AM?\nAnswer: 7:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -1796*v + 260418. Calculate z(145).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -330 and 38.8.\nAnswer: -291.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 4\/8*-2*8\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 71 (b) -5 (c) 5 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 0*o**5 - 71 - 2*o**2 + 340*o**6 - 354*o**6 - 3*o**5 wrt o?\nAnswer: -1680*o**3 - 180*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of t**2*w**3 + 5*t**2*w**2 + 33522*t**2*w - 112*t*w**3 - 32488*t*w wrt t.\nAnswer: 2*w**3 + 10*w**2 + 67044*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46304?\nAnswer: 2, 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3004 by -5234.\nAnswer: 1502\/2617","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1529 - 805. Suppose 0 = -3*y + s + m - 159, -4*y = 3*s - 736. Does 11 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -6, -7 in descending order.\nAnswer: -5, -6, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 d when two letters picked without replacement from byzbdzzdbzd?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the third derivative of h**5\/60 - h**4\/24 + 3*h**2. Let k be d(-1). Factor k*i**4 + i**2 - 6*i**3 + 2*i**2 + 2*i**5 + 4*i - 5*i**2.\nAnswer: 2*i*(i - 1)**2*(i + 1)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1373\/196 + -282\/49. What is the nearest to -0.2 in -4\/9, x, 5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as -43\/46339?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 32\/(-3)*5904\/(-32)*1. Is k != 1967?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*r**2 - 3*r**2 + 2*r**2 + (0 + 0 + r)*(-2*r - 3*r + 4*r) - 2*r**2 - 3 + 3 + 2*r**2 + 0*r + 0*r - 1 + 5*r**2 + 1.\nAnswer: 9*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 81 - 37. Calculate the common denominator of ((-48)\/9 - -2)\/p and -67\/54.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.993831mg?\nAnswer: 0.000000993831","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2549979*d**4 + 17680450 with respect to d.\nAnswer: 10199916*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a + 7. Let u be w(-5). Suppose -5*o + u*o + 57 = 0. Suppose 0 = -2*c + o + 9. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 422.3 less than -56?\nAnswer: -478.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5 and -198941.\nAnswer: -198936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -3*r**2 - r - 1. Let f be j(-1). Let m = 11104\/15 - 2222\/3. What is the third biggest value in f, m, -0.26?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23315 (base 9) to base 6.\nAnswer: 200022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03 times -4.68?\nAnswer: 0.1404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -3*p + 4*i, -2*p + 192 - 194 = 3*i for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -p**4 - 346*p**3 - 1371*p**2 - 1026*p = 0.\nAnswer: -342, -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 5*k**3 + 23*k**2 - 18*k - 26. Let s be h(-8). Let f = s + 1626. Calculate the remainder when f is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 464*s**2 - s + 1 - 480*s**2 + 2*s**4 - 3 as p + y*s**3 + l*s**4 + x*s + h*s**2 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 371 - 1483\/4. Which is the nearest to v? (a) -12 (b) -1\/10 (c) -1 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 3 = 15. Suppose 0 = -r - 73 + n. What is r rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 3*p + 27. Let o = 24 - 10. What is the remainder when g(0) is divided by o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 7 - (3 + 15 + -6 + -12).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 22549, 90023, 202481, 359923, 562349?\n\"Answer: 22492*k**2 - 2*k + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 41800?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 50*r + 1. Let t(b) = -258*b - 33. Give s(t(v)).\nAnswer: -12900*v - 1649","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -l + 2*l - 23, -4*l = -5*w - 97. Suppose -2*t + l + 94 = 0. What are the prime factors of t?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30154?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -2*i**2 - 2*i - 1. Let t be z(-1). Let m = -40 + 38. Let f(l) = l**3 - 13*l**2 + 13*l - 16. Let n be f(12). Sort m, n, t in descending order.\nAnswer: t, m, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 - 10)*(2 - 1). Let t be (-18)\/(-4)*(-96)\/l. Suppose -t = -3*y + 6. Is y a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 380*f = 361*f - 62*f + 3483 for f.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/10*(-273 + -2). What is the highest common divisor of 22 and w?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1168308\/143 - -8170. Which is the nearest to -2\/13? (a) 2 (b) -4\/9 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -1. Let m(y) = -7 + 4*y + 3 + 1 - 4. Calculate -5*k(n) + m(n).\nAnswer: 4*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3598931773?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60.48454 litres to millilitres.\nAnswer: 60484.54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2679 (b) -10 (c) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 504, 114, -534, -1440, -2604, -4026, -5706?\nAnswer: -7644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-284)\/(-8) - (3 + 9\/(-2)). Suppose 8 + 7 = 5*d. Suppose -d*l = -238 + n. What is the tens digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1399 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*v + 5*v + 3*v)*(-v - 158 + 158 + 6*v**2).\nAnswer: 12*v**3 - 2*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 5*r = 4210 + 580, -5*r = -j + 946. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5495022*r - 10990053*r + 5495030*r.\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**2 - 18*i - 23. Suppose -12*s - 144 = -3*s. Let g be q(s). Sort g, 5, -2.\nAnswer: -2, 5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12773452 divided by 13.\nAnswer: -12773452\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 - 19*u + 14. What are the prime factors of v(21)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-416)\/(-14) + 10\/35. Let k = w - 17. Let d = k - 11. Which is greater: d or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -725*z**3 - 97*z**2 wrt z?\nAnswer: -4350","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28820 is divided by 347?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/13 in -4, 1\/170, -0.2, -203\/17, -0.4?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1994*((-357)\/(-154))\/17. Let j = l + 273. Determine f, given that -2\/11*f**2 - 18\/11 - j*f = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1.2, 0.637, -5, 0?\nAnswer: 0.637","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/5*(-10)\/(-2) + -2. Suppose t = 2*s - o - 8, 32 + 1 = 5*s + 4*o. Let w = -0.3 - 2.7. Which is the second smallest value? (a) 0 (b) w (c) s (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:06 PM and 1:11 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -37 (base 16) to base 5.\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(15) - (sqrt(15) + sqrt(60)))*-6)\/(sqrt(10)\/(sqrt(2)*-2)))**2 - (((sqrt(3)*5 + sqrt(3))*-6 + -1)*2)**2.\nAnswer: -13828 - 288*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -2*q**3 + 2*q**2 - q. Let n be 6\/(-5*1\/(-5)). Suppose -4*z = n*z. Suppose z*x = -2*x + 2. Determine r(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -z + s - 17, -5*s = -z - 21. Suppose -2*o + 10 = z*i - 2*i, 3*o - 5*i = -17. Let q(h) = -8*h**2 - h + 1. What is q(o)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**3 - 51*z**2 - 180*z.\nAnswer: -3*z*(z + 5)*(z + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 - 5*o**2 - 3*o + 2. Let m be k(6). Solve -10*d + m = 40 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the second derivative of -t**8\/840 + t**5\/40 - t**3\/3 + 2*t. Let h(z) be the second derivative of m(z). What is the second derivative of h(a) wrt a?\nAnswer: -24*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116864732041 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 88216181 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 2*a**2 + 27*a + 15. Let k = -11569 + 11560. Give c(k).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 17*o**2 + 9*o + 6. Let k(c) = 11*c**2 + 7*c + 9. What is 3*k(y) - 2*m(y)?\nAnswer: -y**2 + 3*y + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, -973, -91, -25 in increasing order.\nAnswer: -973, -91, -25, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - u**2)*(-3*u + 0*u + 2*u) - 409*u - 108*u**3 + 409*u.\nAnswer: -107*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 + 8*w**2 - 9*w - 6. Let f be j(-9). Let z = 8 + f. Find the third derivative of -8*l**z + 2*l**2 + 4*l**2 - l**6 wrt l.\nAnswer: -120*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19.21384 - 19.53. Let z = r - -0.311. What is z rounded to 3 decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14197 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 157392 is divided by 164.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -263*b**2*j*n**3 - 538*b**2*j + b**2*x**2 + 30*b*n**3*x**2 + b - j*n**2*x**2 - j*n - n**2 wrt n?\nAnswer: -1578*b**2*j + 180*b*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -31 + 5*u**2 - 4*u**2 - 31*u + 40*u. Let i be h(-9). Let j = i - -43. Solve y - 5*w + j = 5*y, -2*w = -4*y + 12 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000013641 to 6 dps.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 82 = 2*f - 5*f, f + 1 = 5*t. Let i = -36 - 97. Let v = i - -227. Calculate the remainder when v is divided by f.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35c (base 13) to base 12\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.25 - -0.25. Let g = -1858\/7 - -265. Which is the third smallest value? (a) l (b) -0.9 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/21, 0.8, -101, -0.2, -3\/5, 4\/7?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 102\/(-30) + 28\/20\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/12 and -41\/5240.\nAnswer: 15720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 35.064 + -0.064. Let s = -39 + t. Which is the smallest value? (a) -1\/27 (b) s (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 336*u + 2 - 77*u - 87*u - 111*u to the form t*u + n and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 60 and 5740?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*v + 5. Solve 0*f + v = -f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -3*q**2 + 4*q - 2. Let a be z(2). Let p(k) = -74*k + 7. Is p(a) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 204 = -5*f. What is the smallest common multiple of 3 and -3*f\/(-8)*-4?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the third derivative of m**6\/540 + 431*m**5\/270 + 46655*m**4\/108 + 46225*m**3\/27 + 12825*m**2. What is n in b(n) = 0?\nAnswer: -215, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = -5*n - 100. Let u = 22 + n. Differentiate -112*s - 2 + 112*s - u*s**3 - 13*s**3 wrt s.\nAnswer: -45*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 254, 528, 816, 1124, 1458, 1824, 2228, 2676?\n\"Answer: r**3 + r**2 + 264*r - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 o when two letters picked without replacement from {b: 1, o: 18}?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 286268 and 649.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2814023\/12730 - 8413\/38. Let f = v + -4\/67. Let i = -0.6 - -0.4. Which is the third smallest value? (a) f (b) -3 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 340*z + 237*z = 11540 for z.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2610670986.\nAnswer: 2, 3, 7, 11, 69763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9903.83 and -0.4.\nAnswer: -3961.532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 7*z = 4*c, 2*c + 12 = 5*z for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are -3273 and 1\/3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 628, 626, 630, 646, 680, 738, 826, 950?\nAnswer: 1116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -0*f + 69. Let q = 35 - f. Let p be 13\/1 - (0 + 1). Do q and p have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1965 + 3345. Does 62 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 5*g - 42, -3*l = 3*g - 19 - 11. Let s = -9 + g. Suppose -f + 21 + 3 = s. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6713730168 to the power of 1\/5, to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 41180 + -3?\nAnswer: 41176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5148*z - 1719*z - 194*z**3 - 1726*z - 1703*z.\nAnswer: -194*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2115 + -2071. What is the highest common factor of 3652 and o?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 34400409 to the nearest integer?\nAnswer: 5865","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 4789, 5193, 5597, 6001, 6405, 6809?\n\"Answer: 404*y + 4385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-4\/3)*((i*((i*i\/(i**(-1\/17)\/i)*i)\/i)\/i)\/i)\/i*i**(2\/29)*i**4 assuming i is positive.\nAnswer: i**(5612\/1479)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 100 divide 29872?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2*(10 + (-136)\/(-16)). Calculate the highest common factor of 2627 and j.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p\/(p*(p\/p**(-3\/14))\/p)*p*p**(11\/5))\/(p**(-3\/7))**(-37) assuming p is positive.\nAnswer: p**(-761\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35384*n = 35296*n - 1672 for n.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 2*v - 8328. Suppose -3*w - 3 = -4*f + 8, -4 = -3*f - 2*w. Is (-3)\/(12\/v*f) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4114 - 4114 + 742*y**3 + 18*y**2 - y - 741*y**3 to j*y**3 + x*y + r*y**2 + t and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 11322\/1887*822\/36?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40345 + 839 = 96*s. What is the remainder when s is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-624)\/182 - (-8)\/(-14). Sort b, 5, 17, -3, 1 in decreasing order.\nAnswer: 17, 5, 1, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, -2, -19, -0.5?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 + 8*j**2 - j - 43. Determine d(-8).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of a**5 - 120*a**2 + 778 + 774 - 1552 - 15*a**6 wrt a.\nAnswer: -1800*a**3 + 60*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 4415?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.02393? (a) -1 (b) 1 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, 45.\nAnswer: -1, 2, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*2*sqrt(70) + sqrt(70) - ((-5*(sqrt(70) - (sqrt(70) + -3*sqrt(70) + sqrt(70))) - sqrt(70)) + sqrt(70)))\/(4*(sqrt(160) + sqrt(160) + -4*sqrt(160)*2)).\nAnswer: -5*sqrt(7)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -39 - 5*c**2 + 9*c - 6*c + 49 + 4*c**2. Calculate o(7).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1214110 (base 6) to base 14.\nAnswer: -1968a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 20 = 4*p, 5*r - 13106 + 13126 = -4*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 385*w - 383*w + 16 = 0. Let s(o) = 4*o + 3. Calculate s(w).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 6*r - 341 = -4*r, -458 = -4*w + 2*r. Suppose 82*x - 85*x = -w. Suppose 2*m - x = 69. What is the highest common divisor of m and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 0, 5*p + 62 + 13 = -5*g. Let c = g + 377. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 4*m + 3574 - 1778 = 1782, 3*m - m - 3*m = 5*d - 7 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -o**3*v**3 - 4*o**3*v**2 + 7*o**3*v - 2*o*v**2 - 6176*v**4 - v**2 wrt v?\nAnswer: -6*o**3 - 148224*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-3))\/(35\/231)?\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001121532 to 5 decimal places.\nAnswer: 0.00112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/u**4*u**(2\/7)*((u\/u**(-1))\/u*u)**(-6) assuming u is positive.\nAnswer: u**(-103\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (41 + -44 - (1 + (-9 - -4))) + -6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 1 - -1 - -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 9029*w. Let j(q) = 5*q. Calculate z(j(k)).\nAnswer: 45145*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -36.43 + 1.43. What is the nearest to 0.1 in q, 4, -1, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 281915958 is divided by 36.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 24753.\nAnswer: 5\/24753","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 404 a factor of 31542300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1958 (base 10) to base 14\nAnswer: -9dc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(2\/11)*a*a**(2\/11))\/(a**(1\/20)*a**(-2\/21)) assuming a is positive.\nAnswer: a**(859\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 273638.9 micrometers in nanometers?\nAnswer: 273638900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 57*v**2 + 12818*v + 11290. Determine p(-224).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.4 + -31.6. Let n = -46 - b. Which is greater: n or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109713 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8580.441 years?\nAnswer: 102965.292","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 + -3 + 7)*2. Suppose -18*v - b = -14*v. Let k be v\/(6\/9)*3. Let h(w) = w**3 + 8*w**2 - 9*w - 6. Give h(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -5*b**3 + 46*b**2 - 61*b + 585. Calculate v(9).\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 3*x = -2*x - 97, 0 = -4*c + 5*x + 187. Suppose 13*f - c = 5*f. Solve r + 1 = f for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -114113442 (base 5) to base 16.\nAnswer: -82bc9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 27\/(-6*15\/(-90)). Solve 18*q = -o*q - 90 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 51463 and 48283.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 13 = 2*p. Suppose 4376*v - 4372*v - 4*q = 16, 3*v + 20 = -5*q. Solve v = -8*m + p*m + 5 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + 3e3?\nAnswer: 3e5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 16082809 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6 - -1de5fc0?\nAnswer: 1de5fba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i - 5 = 13. Let s be -3 + (-1 + 2 + i - -122). Let a = s + -79. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - (-1)\/1) + -7 + 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*b**2 + 154705*b + 2166850 = 0. Calculate b.\nAnswer: -14, 30955","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -4. Let y(s) = -2*s - o - 1 + 5. Let c(w) = -w**2 - 9*w + 9. Calculate -2*c(g) + 9*y(g).\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(250) - sqrt(250)) + (sqrt(90)*1 - sqrt(10)))\/(-2*(sqrt(5) + sqrt(15)\/sqrt(3) - sqrt(5))*3).\nAnswer: 13*sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 9) to base 16\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 52*q**2*v - 4771*q**2*z + 69*q*v*z + 2*q + 63*v*z + 1 wrt q.\nAnswer: 104*v - 9542*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -2*v**3 - v**2 + v. Let l(f) = -1800*f**3 - 30*f**2 + 30*f - 1398. Let h(z) = -l(z) + 30*r(z). What is the derivative of h(n) wrt n?\nAnswer: 5220*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14\/3*z**2 + 4\/3*z**3 + 0 - 2\/3*z**4 + 8\/3*z = 0.\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**2 - 34*l - 10. What are the prime factors of t(-25)?\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 32 = -4*z, 0 = -3*z + 6 + 9. What is the greatest common factor of s and 192?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159881 divided by 101?\nAnswer: 159881\/101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p\/(p\/(p\/p**(-1\/7))))\/(p**(-5)\/p)*(p\/p**(-2)*p)\/(p\/((p\/p**(-1\/5))\/p*p*p))*(p**(-1\/6)\/p**(-5))\/(p**(-8)\/p*p**(2\/19)) assuming p is positive.\nAnswer: p**(112003\/3990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 7:58 AM?\nAnswer: 7:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 2*s - 294 = 47, 0 = -5*v - 4*s + 353. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**2 + 2550*h - 133920.\nAnswer: 5*(h - 48)*(h + 558)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -131*r**3 - 1665*r**3 - 1672*r**3 + 1046*r**3.\nAnswer: -2422*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 534 divided by 2?\nAnswer: 267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a decade in months?\nAnswer: 330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2342, 3204, 4066, 4928?\n\"Answer: 862*d + 1480","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 33454*b*c**3*f**2 + 4*b*c**3*f - 2*b*c**3 - 27*b*c*f - 2*c**3*f + 8*c**3 wrt f?\nAnswer: 66908*b*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/150 and -44\/575?\nAnswer: 3450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 - -6. Let h = r - -27. Suppose f + h = 5*f. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 2\/5 (b) -0.5 (c) -7 (d) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 168 + 318 = 3*q - 3*j, 0 = q + 4*j - 177. Let s = 11 - 7. Suppose -s*b + q = -123. Calculate the greatest common factor of 8 and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 - (-5 + -7)) + (-5 - -1) + 10.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -61*m**2 - 48*m**2 + 42*m**2 + 3*m + 72*m wrt m?\nAnswer: -134","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + 37845575?\nAnswer: 37845575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-227)\/42 - (-4)\/2 and 29\/10?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 21 - 4510551?\nAnswer: -4510530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 + 4*m**2 - 15*m - 44. List the prime factors of b(-6).\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19661 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from szzosszszmz. What is prob of sequence so?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.1 and 909.3214425?\nAnswer: 909.4214425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 - 8 = -w. Let i = 15 + w. Suppose 736 = 4*z - 3*y, -y - 174 = -i*z + 196. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*3*sqrt(63) - ((2*sqrt(343))**2 + 4 - sqrt(343)).\nAnswer: -1376 - 11*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -79 times 0.2?\nAnswer: -15.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80807 is divided by 4608.\nAnswer: 2471","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaaaaaxaaxhaaa. What is prob of picking 1 h and 2 a?\nAnswer: 55\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 3 - 6 + 0*o - 6*o + 2*o. What is the lowest common multiple of m(-2) and 11?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 + 20*f**2 - 8*f - 200. What is z(19)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1216 + 2227. Let y = v + -1229.6. Let a = y - -199. What is a rounded to the nearest integer?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (7 - 5 - 8) - -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (387\/(-36))\/(3\/(-48))?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9073 by -1702.\nAnswer: -9073\/1702","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -5*j + 7. Let r be j\/((-18)\/(-12) - 5). Suppose 1 = -2*f - 3. Which is the smallest value? (a) r (b) 0.3 (c) f (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.949 to zero dps.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 54, 59, 68, 81?\n\"Answer: 2*z**2 - z + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 4*j**2 - 4*j + 10. Let x be h(4). Let m = x - 56. Suppose -n - 3*n + 1162 = m*g, 1161 = 4*n + g. What is n rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -27, -85, -163, -255, -355, -457, -555?\n\"Answer: c**3 - 16*c**2 - 17*c + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4 - 1) + 12 + -6 + -3. Suppose -5*u = 5*h - 35, -j*h + 2*h + 10 = -2*u. Calculate the lowest common multiple of h and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2199101 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 1213140 to the nearest one hundred thousand.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7095961 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (34\/(-5) - 0)*18870\/(-7548).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l. Let w(m) = -10*m. Let u(k) = -6*g(k) + w(k). Let t(h) = -6*h**2. Give t(u(s)).\nAnswer: -96*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 2 - 3)*(-4*r + 0*r + 3*r)*(4 - 18 - 47) to p*r + z and give p.\nAnswer: -244","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 11\/2 - (-4)\/56*-7. Suppose 4*t + 0*t = -4, -f*d - 5*t + 1335 = 0. Do d and 268 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is c + 51?\nAnswer: 5d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 580*l + 75225. Calculate z(-130).\nAnswer: -175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -16915 at most as big as -16909?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32)\/(211584\/(-10324)) - (-2)\/19.\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(1\/5)*p*p**(-2))\/(p\/(p**(-1\/2)*p)*p*p*p**9*p) assuming p is positive.\nAnswer: p**(-127\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together -5 and 0.084553.\nAnswer: -4.915447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 66648 and 5895571.\nAnswer: 2777","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 34*144\/(-24480)*(-5)\/(-26)?\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 146696468 and 68.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 22*q**2 + 5*q. Let f(o) = -11*o**2 - 3*o. Calculate -10*f(w) - 6*l(w).\nAnswer: -22*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5078534319?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(2299) + sqrt(2299) + 0 + -2) + (sqrt(2299) - (sqrt(2299)*1 + -5) - sqrt(2299)) + 5*(-1 + sqrt(2299)))*6)**2.\nAnswer: -76032*sqrt(19) + 5302080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 150 + -58. Suppose 5*t = 9*t - z. List the prime factors of t.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 150898943 and -0.1862.\nAnswer: 150898942.8138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 4*f = -41 + 2, -5*c + f = 176. Let m(j) = -j**3 - 36*j**2 - 32*j + 111. Let n be m(c). Calculate the highest common factor of n and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 118171?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 21880, 43756, 65632, 87508, 109384, 131260?\n\"Answer: 21876*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*x\/x**17)*x**(36\/5))**(-48))**(-1\/28) assuming x is positive.\nAnswer: x**(1392\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 86, 65, 8, -103, -286?\n\"Answer: -3*c**3 + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + 3. Suppose -p + n*d - 9 = 0, 0*p = -p + 3*d - 1. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 f when three letters picked without replacement from mnksmnsfmkfm?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 + 3*h + 5. Let q(z) = 11 + 1 - 2*z**3 + 4*z + 4*z. Let r be (30\/(-8))\/((-1413)\/1884). What is r*q(l) - 12*b(l)?\nAnswer: 2*l**3 + 4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 + -3 - -5)\/(-2). Factor -1\/2*j**3 + c + j**2 + 0*j.\nAnswer: -j**2*(j - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/1298 and 97\/118?\nAnswer: 1298","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 494*d + 364. Is 65 a factor of x(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*x - 4*x - 77*x - 37*x in the form f + l*x and give l.\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*((-3)\/(-3))\/((-30)\/(-75))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -b*g**2*v**2 + b*g*v**2 + b*v**2 + 38*g**2*v**2 + 37 wrt g?\nAnswer: -2*b*v**2 + 76*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 144 - 150. Let m(a) = -33*a - 13. What is the tens digit of m(h)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6397256?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 3697*d**2 - 1821*d**2 + 0 - 1882*d**2.\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16 (base 15) to base 10.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o - 29. Give i(-7).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2*a)*(-272*a**2 + 814*a**2 - 268*a**2 + 45*a - 275*a**2).\nAnswer: -2*a**3 + 90*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -4d097 (base 16) in base 12?\nAnswer: -132733","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 115115810?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.81*2.\nAnswer: 5.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= -40\/1436639?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 26803 and 0.01.\nAnswer: 268.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.6 + -0.53. Let m = 161 + -156. Which is the closest to x? (a) 1 (b) m (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 21744, 21655, 21564, 21471, 21376, 21279?\n\"Answer: -m**2 - 86*m + 21831","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a minute in seconds?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -4*s**2 - 2*s - 19. Let u(v) = v**2 + 1. Let m(h) = -l(h) - 5*u(h). Let k be m(5). Let f = 1 - 4. Put k, f, 2 in decreasing order.\nAnswer: 2, k, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 + s**2 + s + 13. Suppose -n - 57 = -82. What is the remainder when n is divided by h(0)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - 4. Let a(d) = -2*d**2 - 39*d - 3. Let r be a(-19). Suppose -j = 4*h - 19 - 1, -4*j + r = 0. Solve 9*s = h*s + 2*f + 30, -p*s + 5*f = -33 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4, -3, 17 in decreasing order.\nAnswer: 17, 4, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q**2 - 5*q**2 + 4*q**2 + 57*q + 2*q**2.\nAnswer: 2*q**2 + 57*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 6 + 5 = 0. Let a be 4\/(-24)*0*g\/(-2). Solve a = -z - 0*z - 2 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, e: 3, p: 2, y: 1, t: 3}. What is prob of picking 1 p and 1 e?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes before 9:53 AM?\nAnswer: 6:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 0.7, -0.3, 4, -0.11?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 352243 is divided by 250?\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 73 + -59. Suppose -p - 11 = -m. Factor 1\/5*h**2 - 1\/5*h**4 + 0 + 1\/5*h - 1\/5*h**p.\nAnswer: -h*(h - 1)*(h + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -77, 1, -0.04, -1.5, -8, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -32825, -65881, -98937, -131993, -165049?\nAnswer: -198105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-66)\/(-77)*1*7. Suppose 0 = 2*f + f - h. What is the closest to f in -1, -0.1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2255 - 2255 - 2*p**2 - 79*p.\nAnswer: -2*p**2 - 79*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/33)\/b)**38\/((b\/((((b*b\/(b\/(b*((b\/(b*(b**(-3\/8)\/b*b)\/b))\/b)\/b)))\/b)\/b)\/b))\/b)**(-1\/18) assuming b is positive.\nAnswer: b**(-56401\/1584)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2.375 and -76.\nAnswer: -73.625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*z**4 + 184*z**3 - 3*z - 139 wrt z?\nAnswer: -24*z**2 + 1104*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 405, 5, 149, 6, -2.\nAnswer: -3, -2, 5, 6, 149, 405","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 1182 = -3*k, -h + 0*h + 394 = -4*k. Let t = h + -395. Let l(s) = 7*s**2 - 4*s**2 + s - s**2 + 1. Give l(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 980766 is divided by 490379?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 37343670 and 42?\nAnswer: 37343670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 5*p - 1. Let s(c) = c - 1. Determine 3*s(n) - u(n).\nAnswer: -2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 769958?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -39 - -38. Let p be v*(-3 + 9) + 4. Is (3817\/22)\/(p\/(-4)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1 (b) -3\/379 (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 174473?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p - p - p)*((-2*p + 4*p - p)*(2 + 1 - 2) + 2*p + 0*p - 4*p - 350 + 350 - 10*p).\nAnswer: -22*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of w**3\/6 + 4*w**2 + 12*w. What is the derivative of b(i) wrt i?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 488 (base 10) to base 3.\nAnswer: 200002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -11175, -11147, -11073, -10929, -10691, -10335, -9837, -9173?\n\"Answer: 4*o**3 - o**2 + 3*o - 11181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m + 2*m - 3*m)*(-3 - 1 + 5) - 5 + m + 5.\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 3*v - 2. Let r(k) = -9*k + 7. Let q(g) = -17*g + 13. Let n(o) = 6*q(o) - 11*r(o). Let h(j) = -5*n(j) - 6*s(j). What is h(-5)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 439 = -2*a + 133. Suppose 0 = -o + 5*h - 190, 0 = -40*o + 39*o + 3*h - 176. Which is smaller: o or a?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 15 - (13 + -1 - (17 + -16)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -244, -964, -2160, -3826, -5956?\n\"Answer: b**3 - 244*b**2 + 5*b - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the third derivative of -i**6\/180 + i**5\/15 + 5*i**4\/12 + 8*i**3\/9 + 2*i**2 + 42. Factor s(d).\nAnswer: -2*(d - 8)*(d + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -5*(sqrt(6)\/sqrt(3))**2.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(-15)*210\/(-14)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/22 and -11\/2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 333*j - 37470 = 560*j - 1476*j for j.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**2 - 10*a + 52. Determine j(4).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 64222 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: Which is the biggest value? (a) -50.038 (b) 0 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -205 = 5*n + 5*k, 5*k + 19 = n + 78. Let t be (4 - (-80)\/(-15))\/(1*(-8)\/18). Which is the nearest to n? (a) 0.2 (b) t (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fifty-two fifths of a decade?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 136? (a) -3 (b) -1 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 23812.\nAnswer: 71436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(68)*1)*3)**2*-6.\nAnswer: -3726 - 216*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1554 smaller than 1553?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -3*162738\nAnswer: -488214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6384515000 rounded to the nearest one million?\nAnswer: 6385000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*d**3 - 9*d + 9*d + 0*d**3 - 3*d**3 + d**3 + (0*d - 3*d + 4*d)*(-d**2 - 3*d + 3*d) to f*d**2 + y*d + k*d**3 + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 93.187909 + 6999?\nAnswer: 7092.187909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -60 + 69. Suppose -18*o = -369 + r. Let y be 22 - -3*6\/(-9). Calculate the highest common divisor of y and o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u - u + 180. Calculate the greatest common divisor of 60 and u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sstpdzm. Give prob of picking 1 s and 1 z.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**19\/(i*i**(6\/5)))**(-15\/4) assuming i is positive.\nAnswer: i**(-63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 - 8 = -6*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/7 + 64\/28. What is the second derivative of -k**2 - 5*k + b*k + 0*k wrt k?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*x + 68*x - 324490 = 512894. What is the greatest common factor of x and 74?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 9576, 9566, 9532, 9462, 9344, 9166, 8916, 8582?\n\"Answer: -2*u**3 + 4*u + 9574","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -228*d - 220*d - 36*d**2 - 177*d.\nAnswer: -36*d**2 - 625*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express j**4 - 4*j**2 + 14*j**2 - 28*j**2 - 5*j**3 + 7*j**2 + j + 35 + 10*j**2 as n*j + i*j**2 + u*j**4 + c + v*j**3 and give v.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2\/5, 3, -5867, 20?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x - x + 10 + 4*x. Let v(p) = -4*p + 1. Let i be v(3). Let t be u(i). Which is bigger: -13 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3212 - -27755?\nAnswer: 33167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = -4*i + 3 + 13, i - 25 = -5*s for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, -2025, -5 in descending order.\nAnswer: 4, 1, -5, -2025","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -18697552\nAnswer: -1\/18697552","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = -4*j - 4*p - 84, -2*p - 10 = 0. Let m = j + 18. Suppose 0*k - m*k = -18. Is 2 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 3*s**3 + s**2 - 4*s - 3. Give u(-2).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -270 divided by -32\nAnswer: 135\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.760059g in micrograms?\nAnswer: 760059","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-15862)\/616)\/(3\/(-12)). Is 102 greater than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from {e: 4, j: 2}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + (-1254)\/(-15) + 8\/20. Let f = t - 3. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 - 3*f**2 + 4*f - 2. Let t(j) = -j**3 + j**2 - j + 1. Let k(u) = -2*u - 14. Let q be k(-6). Let p(h) = q*t(h) - c(h). Factor p(n).\nAnswer: n*(n - 1)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.17 + 2.17. Let n = l + -2.0000224. What is n rounded to 6 decimal places?\nAnswer: -0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - -1. Let n = 90 - 42. Let b be 2\/7 + n\/28. Solve 0 = -d - t, b*d - 4 = 4*u - 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 + 2*m**2 - 4*m - 4. Let t be v(-3). Let j = 5 - 2. Let f(u) = -u**3 + 3*u**2 - 2*u + 1. Let l be f(1). Put j, l, t in decreasing order.\nAnswer: j, l, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.0923 and -26.4?\nAnswer: 26.4923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 - 100100011000010011100?\nAnswer: -100100011000010010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2504*c*i**2 + 1930*c*i - 8880*c + 2823*i**2 wrt i.\nAnswer: -5008*c + 5646","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 741 (base 10) to base 4.\nAnswer: 23211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*b + 113 + 2*b**2 + 26*b + 0*b**2 - b**2 - 25*b to n + x*b + g*b**2 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 665559?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 - 62*y**2 - 1137*y - 177. Is k(97) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1\/2*10 + 16644\/19 is divided by 291?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 > -202798725?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -51832 and 166?\nAnswer: -8604112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2, 2\/9, -42, -239, -1 in decreasing order.\nAnswer: 4, 2, 2\/9, -1, -42, -239","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 3*((-3 + sqrt(931)*-2)**2 + -4).\nAnswer: 252*sqrt(19) + 11188","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(1\/7)*o**(8\/3)\/o)\/(o**(2\/9))**(-13) assuming o is positive.\nAnswer: o**(359\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -392 - -394. What is the first derivative of 113*y - 62*y + 0*y**2 - 261 - s*y**2 - 65*y wrt y?\nAnswer: -4*y - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 127448.\nAnswer: 2, 89, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9246 by 69.\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-185)\/(-111) + (-530)\/3. Let t = 204 + y. Suppose -k + 15 = 2*k. Calculate the remainder when t is divided by k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/7, -5, -0.1, -0.055, -4\/11?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 q when three letters picked without replacement from {a: 4, c: 9, q: 3}?\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange m + 77 + 54 + 47 - 67 to f + x*m and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 60*z = 59*z + 3, 4*z = -4*r + 20 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u**4\/7 - 2*u**3 - 316*u**2\/7 - 22*u = 0 for u.\nAnswer: -7, -1\/2, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.6? (a) 467\/7 (b) 4 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*n + m + 44, 11371*n - 11376*n = 3*m - 8 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of 1\/2*d**2 + 0*d - 20\/3*d**3 - 99. Let m(k) = -3*k. Give m(c(b)).\nAnswer: 60*b**2 - 3*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -25 - -102. Does 18 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -131 (base 16) to base 11\nAnswer: -258","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and -479.\nAnswer: 47.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 196.1511879 * 4.\nAnswer: 784.6047516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -94, -104, -116, -130, -146, -164, -184?\n\"Answer: -s**2 - 7*s - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 - 20*l**2 - 8*l - 29. Let n(a) = a**2 - a. Let g(p) = i(p) + 5*n(p). Let y be g(16). Solve -16*j + 12 = -y*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 619 a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-35)\/(-84))\/((36\/(-8))\/9)\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 14 = -w, 22 = 2*w - 2*p + 4*p. Suppose -5*s - 13 - w = 0. Is 25 a factor of (-1)\/s + 372\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20564941 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1670 is divided by 38.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -47*c + 43*c + 4*p + 164, 3*c = -2*p + 98. Calculate the lowest common multiple of c and 15.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i - 122 = -1067. Calculate the highest common divisor of i and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-12)\/(-18)*30\/4. Suppose 2*o + 2 = -d*x + 16, -o + 10 = x. What is the highest common divisor of 108 and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*f - 44 = -17*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 242412 (base 12) to base 8\nAnswer: 2165716","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the third derivative of -m**6\/120 + m**5\/12 - m**4\/6 + m**3\/3 - 7*m**2. What is h(5)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -1\/2 (b) 2 (c) 75 (d) -8 (e) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.61 + -0.6. Let y = k - -3. Let h = y + 0.06. What is h rounded to one dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 543, 4273, 14407, 34155, 66727, 115333?\n\"Answer: 535*g**3 - 8*g**2 + 9*g + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 660 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, -8\/7, -4\/9, 0.5, -3\/29 in decreasing order.\nAnswer: 16, 0.5, -3\/29, -4\/9, -8\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 1994740 = 2*a + 755713, -3*a - 5*n = -1858538. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 42 and 14?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -128 - -130. Factor -4\/3*m + 0 - 2\/3*m**3 - w*m**2.\nAnswer: -2*m*(m + 1)*(m + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 2 = 4*m - 0*i, 2*i + 2 = -2*m. Suppose -2*c + m*r = 7*r + 6, 3*c - 2*r + 9 = 0. Sort c, -6, -5 in descending order.\nAnswer: c, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 14\/(-77) - 46\/(-11). Sort 12, r, 0 in decreasing order.\nAnswer: 12, r, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 - 10*k**2 + 20*k - 14. Let z be i(8). Suppose z*n - 13*n - 5 = 0. Solve -j + n = -0*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort 86, -25454, -1, -4 in ascending order.\nAnswer: -25454, -4, -1, 86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*f**3 + f**3 - 4*f**3 + (5 - 16*f - 5)*(6*f**2 - 4*f + 4*f) + f**2 + 2*f**3 - f**2 as w + u*f + c*f**2 + h*f**3 and give h.\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of -193\/2*s**2 + 0*s**3 - 184 + 0*s + 77\/2*s**4. Find the second derivative of c(f) wrt f.\nAnswer: 924*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2245 + 3?\nAnswer: 2252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16126 and 16126?\nAnswer: 16126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 70 and 3262?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2.3 * 0.45\nAnswer: -1.035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, 3, -77152240?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.59 - -0.48. Let w = v + 39.11. Let d = 39.000014 - w. What is d rounded to 5 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 230\/(-161)*(-14)\/1. Suppose 0 = -2*q + 30 + 10. Is q > c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/8 and -7\/436.\nAnswer: 872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -107019 (base 10) to base 13.\nAnswer: -39933","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96 = -22*i - 31 + 265. Solve -8*x - 23 = -i for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 28 = -4*s, -v + 13*s - 11*s = 2. Suppose -v*a + 17 = -15. Solve -2*c = -4*c - a for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 146.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8\/7 + 10\/7*k - 2\/7*k**2.\nAnswer: -2*(k - 4)*(k - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 PM and 2:14 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -6*g**2 - 2*g + 4. Let v(f) = 3*f**2 + 4*f - 5. Let x(s) = 14*s**2 + 21*s - 26. Let c(m) = -11*v(m) + 2*x(m). Give -4*c(r) + 3*l(r).\nAnswer: 2*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/144 and 27\/1147.\nAnswer: 165168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10093190?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, -1\/12, 0.4, 12, 2 in decreasing order.\nAnswer: 27, 12, 2, 0.4, -1\/12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 389.5651 less than 1132867?\nAnswer: 1132477.4349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 14 = 5*h. Is 8 less than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 AM and 7:44 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h + 2*h - 3*h. Let y be (-8 - -9)*6\/3. Let s(x) = 11 + 4*x**y - 6 + x**2 - 5. Give r(s(n)).\nAnswer: -10*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16\/7 + 19\/14. What is the common denominator of -29\/10 and i?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 2*j + i - 1, -2*i = 3*j - 2. Let f = 510.41 + -505.41. Which is the nearest to j? (a) -1 (b) -0.3 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(19) + -1 + -2*sqrt(19) + 0)**2.\nAnswer: 2*sqrt(19) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -5*w**4 + 370*w**3 + 82855*w**2 - 3318900*w - 402304500 = 0.\nAnswer: -78, 115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + -2.1. Let n = 0.11 + 0.25. Let p = n - -0.04. Which is the closest to -1\/2? (a) d (b) 4 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - (5 - 9)) + (-38 - ((2 - 4) + 5)).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-6) - 2048\/(-24). Suppose -4*v - 4 = 0, -5*v = -x + 2*x + i. Let p = x - -115. Is 14 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 + 5*x**2 + 5*x + 5. Let p be h(-4). Let s(g) = -2*g. What is s(p)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -3*j**2. Let v(h) = -774*h + 3. Let d(s) = 335140*s - 1300. Let q(o) = -3*d(o) - 1300*v(o). Give w(q(c)).\nAnswer: -1825200*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/10)\/((-1)\/(-12)*3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, 5, -2, -5 in descending order.\nAnswer: 14, 5, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86 + 73 - 249 + 2*m + 90 - 6*m.\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 320 = -o. Let j = 30576 + -30657. Is o not equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 + 6*o**2 + o + 6. Let l be t(-6). Solve l = 3*d - 8 - 7 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1071 and 10.\nAnswer: 10710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -18*(28\/(-140))\/(2\/(-5))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*t = 32*t - 143. Calculate the remainder when 195 is divided by t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + 12. Suppose o = -3*u + 2*u + 5, 0 = 3*o - 5*u + r. Let s be (2 + 3 + -2)\/o. Let n(k) = -k + 6. Determine n(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is dd7 - 3c?\nAnswer: d99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 420 and 100755.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -44.025207 to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 0*t**3 + 22*t**3 + 7*t**2 - 13*t**2 wrt t.\nAnswer: 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o**3 + 126*o + 19*o**2 + 12*o**2 + 29*o**2 - 6*o**2 - 378*o + 264 = 0.\nAnswer: -22, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 43 (b) -122 (c) 0.2 (d) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-25)\/(-2)*12\/10. Suppose 0 = -k - b + 15, -k - 7*b + 3*b = -j. List the prime factors of k.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6942359681 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/((z\/z**(-23\/5))\/z))\/z**48*(z**(3\/10)*z)\/(z\/z**(1\/10)) assuming z is positive.\nAnswer: z**(-256\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 630 and 301.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0615 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13*b**4 - 13*b**4 + 2*b**5 + (19*b + 195 - 195)*(0*b**3 + 2*b**3 + 0*b**3)*(3*b - 3*b + b).\nAnswer: 40*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000007014 to 5 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 39758, 79801, 120128, 160739?\n\"Answer: 142*n**2 + 39617*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 - 12 = 16*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 4*h - 127 - 96, 3*f + 3*h + 258 = 0. What is the lowest common multiple of 2 and (f\/18)\/((-6)\/8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-255)\/12)\/5 + 3\/(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 530682 a multiple of 94?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(5\/(-2))\/(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -p + 12 + 4, -2*o + 56 = 5*p. Let w(y) = -y**3 + 12*y**2 + y + 12. What is the units digit of w(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 120\/(-70)*7*3\/(-2)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.9 in -5, 2\/21903, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 125\/1458 and -97\/3500658?\nAnswer: 3500658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1924 = g - 4*w - 1957, 0 = 3*w - 6 for g.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 242774?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12.42*-540.89.\nAnswer: -6717.8538","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - 0. Suppose -2*f + c*q - 4*q = -250, 5*q + 5 = 0. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttgggggggtgggg. Give prob of picking 3 t.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggg when three letters picked without replacement from {h: 8, g: 4, l: 8}?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 4*r**2. Let m = 6 + 0. Let x(y) = -3*y**2. Let l(p) = -3*p**2. Let t(i) = m*x(i) - 5*l(i). Determine t(c(o)).\nAnswer: -48*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97 is divided by 45.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104*p = -5*n + 102*p + 35, -3*n = -4*p + 5 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/88 and ((-5)\/120)\/(454\/(-474) - -1).\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes after 11:49 PM?\nAnswer: 4:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -5 - (3 - 0 - (2145 + 3)).\nAnswer: 2, 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 285849488?\nAnswer: 2, 47, 89, 4271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2231*s**2 + 4779*s**2 + 495*s**3 - 2548*s**2.\nAnswer: 495*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -73014*j + 2. Let a(p) = 2*p. Give a(g(c)).\nAnswer: -146028*c + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 2528.\nAnswer: 12640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 32540.02 - 32228. Let w = 312 - s. What is the third smallest value in 0.5, w, 12, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 3*w = -3*j - 335, 4*j = w + 1351. What are the prime factors of j?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -14*((-2)\/10 + (-1)\/(-10)*-3). Solve -l + 84 - 86 = 2*a, -x = -3*a - 4*l for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -5 (b) 2.8 (c) 5 (d) -2\/13 (e) -2\/9 (f) 0.157\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = h + 2, -4*h - 16 = -28 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 20*p**2 + 34812*p - 13928 = 0.\nAnswer: -1741, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -56*w**3 + 84*w - 84. Let x(r) = r**3 - r + 1. Calculate 2*g(v) + 168*x(v).\nAnswer: 56*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4086 is divided by 73?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 + 4*a**2 + 4*a + 1. What is j(5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/2086 and 2\/5*2541\/420.\nAnswer: 52150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -6*b**3 + 4*b**2 - 5*b + 4. Suppose 99 = 4*h + 5*x, 5*h + 0*h + 2*x - 128 = 0. Let z(d) = -25*d + d**3 - 2 + 1 - d**2 + h*d. Give a(j) + 4*z(j).\nAnswer: -2*j**3 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -5063208 - 47.787\nAnswer: -5063255.787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*c + 687 = 11*c. Let k = -5551\/8 + c. Let t = 643 - 3827\/6. Find the common denominator of k and t.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2575 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: Collect the terms in -6*r**2 - 8*r**2 - 28*r + 4*r**2.\nAnswer: -10*r**2 - 28*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -6, 314 in descending order.\nAnswer: 314, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1\/4, -5 in descending order.\nAnswer: 5, -1\/4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -25, -5\/6, -0.3, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*h**3 + 111*h**2 - 957*h + 450.\nAnswer: 3*(h - 6)*(h + 25)*(2*h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 84 = -3*m + 378, 290 = 3*o + 5*m. Calculate the remainder when o is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3 + -3 - (-31 - -4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 392\/(-112)*(57\/21 - 1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - -17. Suppose -k = k - g. What is the first derivative of 7 - 4*t - k + 0*t wrt t?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(243)\/(sqrt(27)\/sqrt(3)))\/(sqrt(1089) - sqrt(1089)*-1) + (-2 + 5 + sqrt(18)\/(-2*sqrt(486)))**2.\nAnswer: -19*sqrt(3)\/66 + 973\/108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (1 - -4) - 4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*q + 2*q + 2*q + 2 - 2*q**4 to the form r + m*q + l*q**3 + z*q**4 + n*q**2 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 9 + 2*l**4 + 17*l**3 + 2*l - 17*l**3 - l**3 in the form i*l**2 + v*l**4 + a*l**3 + x + w*l and give x.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-17)\/(5 + (-19)\/4). Let v = n - -200\/3. Let u = 0.7 + 2.3. Sort u, -1, v in descending order.\nAnswer: u, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21455, -42910, -64365, -85820, -107275?\nAnswer: -128730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -84 and -116626.\nAnswer: 9796584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 39 - 25. Suppose 0 = -2*v + 46 + c. Let r = 98 - v. Calculate the greatest common divisor of 17 and r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -858.94749 rounded to one dp?\nAnswer: -858.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1320 by 88.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q**4\/3 - 889*q**3\/3 - 1783*q**2\/3 + 889*q\/3 + 594 = 0. What is q?\nAnswer: -2, -1, 1, 891","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1548812521 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*d**2 + 2 + 307*d**2 - 2 + 23*d**2.\nAnswer: 375*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2.618+-0.3\nAnswer: -2.918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*198\/(-55)*60\/36?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/7 and -8 + -3 + 20432\/1792?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 26*u + 475. Calculate the least common multiple of 21 and w(37).\nAnswer: 10059","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + -1. Suppose 0 = g - n - 11, z = -3*g - n - 0 + 29. Calculate the smallest common multiple of 4 and g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b - 4*b + b)*(b**2 - b + b)*(3*b + b + 5*b)*((4 - 5 + 0)*(-5 - 3 + 0) + 4 - 4 + 2).\nAnswer: -180*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 446526328?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 14 = -5*i + 3*i, -2*i = -4*q - 18 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(2\/(-8)*(-32)\/(-56))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.7415734ug?\nAnswer: 0.0000000000007415734","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the second derivative of -w**4\/12 + w. Let v(l) = l**2 + 4. Let r(m) = -9*m**2 - 2*m + 4*m - 33 - 2*m. Let y(u) = -4*r(u) - 33*v(u). Give y(g(o)).\nAnswer: 3*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 2*g**2 - 112. Does 11 divide i(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -63 and 9?\nAnswer: -567","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the third derivative of -f**7\/840 - f**6\/90 - f**5\/30 + f**4\/24 + f**3\/6 - f**2. Let l(u) be the first derivative of d(u). Give l(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 = 2*r + 22. Let n = -138 - -176. What is the remainder when n is divided by r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (10\/3)\/(23\/(-69)). Let j be 0 + (-55)\/l + -3. Put -2\/3, 1\/2, j in ascending order.\nAnswer: -2\/3, 1\/2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g + 0*g + g)*(0*g + 4*g + g).\nAnswer: 10*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18854973?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 3*l**3\/4 + 21513*l**2 - 172113*l\/4 + 43029\/2 = 0.\nAnswer: -28686, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = 6*y - 27, 4*j - y + 2*y = 22 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*f = -70*f - 2155*f - 132396 for f.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2)*v)\/(v\/(v**(3\/7)*v))*((v*v**(2\/3)*v)\/v)\/(v*v\/(v**(2\/7)\/v)) assuming v is positive.\nAnswer: v**(-34\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8\/(32\/36)*(17 + -9). Solve 16*n = 25*n - a for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 - 47*m - 664. Calculate l(-11).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3876167?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 - 4. Let t be (430\/(-645))\/(6\/18). Put 9, c, t, -3 in ascending order.\nAnswer: -3, t, c, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1, -4, -1\/2, 11100\/397 in increasing order.\nAnswer: -4, -1\/2, 1, 5, 11100\/397","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -232513 (base 12) to base 10\nAnswer: -564063","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 0 + 0 + 0 - 6*z**2 - 10*z**4 wrt z.\nAnswer: -240*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 931 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: Suppose 0*u + 252 = 4*u. Let x(r) = 9*r - 18. Let k be x(3). Calculate the highest common factor of u and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 - -1*(1 + -1). Let g = 59 + -57. What is the remainder when 22 is divided by g + (0 - l*6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 11*n**2 - 41*n - 393. What is the hundreds digit of z(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2\/11 (b) 2\/7 (c) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*i**3 + 29*i**3 - 5*i**2 - 3*i**2 - 2*i**2.\nAnswer: 35*i**3 - 10*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 1102 divide 4882135464?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 2*r**5\/17 - 6*r**4\/17 + 4*r**3\/17 + 4*r**2\/17 - 6*r\/17 + 2\/17 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 12 = 5*v, v + 3*m = -0*m - 10 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/702 and 13\/564.\nAnswer: 65988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 687\/42 - 1\/(-7). Let q = -16 + w. Let t = -10\/7 + 13\/14. What is the nearest to t in -3, q, 4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f = -7*f - 2. Let u = f - -3. Let i = 5 - u. Solve -4*j - t - 3 = i*t, t = 3*j - 12 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-11 - -10)\/(2\/(-6)). Suppose x + 0*f - 27 = -2*f, -u*f - 130 = -4*x. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 + 6 - (-48)\/(-6). Sort x, 5, -52, -1.\nAnswer: -52, x, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -93040 rounded to the nearest one thousand?\nAnswer: -93000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -31945 - -31958. Solve -w*b - 169 = -234 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b - -17015?\nAnswer: 17024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 = -2*t + 3*z, -26*z + 21*z + 133 = 4*t. Solve 3*h + 12 = 0, -4*h = 3*m - 9*h - t for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 241994, 241866, 241738, 241610, 241482?\nAnswer: 241354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*p**3 + 181*p**2 - 3991 wrt p.\nAnswer: -15*p**2 + 362*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 903831 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51.88994 micrograms to grams.\nAnswer: 0.00005188994","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1022633 (base 7) to base 11.\nAnswer: 84832","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1750256.\nAnswer: 2, 109391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 131262.\nAnswer: 2, 3, 131, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 6 = -0*t. Let n = t - 5. Let u be 0 + (-4)\/30 + 0. Is u at least as big as n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2873 by -5.\nAnswer: -2873\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2705438?\nAnswer: 2, 53, 25523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 92116*g**3 + 10*g**2 - 484920*g wrt g.\nAnswer: 552696","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (-10 - -14)\/(-1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 1 - 8*q - 4 - 5*q + 3*q. Let f be m(-2). Let j = -13 + f. Are -2 and j non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 178490, 356936, 535382?\n\"Answer: 178446*t + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 100 and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 408320194 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 69 and 127323?\nAnswer: 2928429","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r. Let f(o) = -7*o + 8*o + 3*o. Let t(v) = 5*b(v) + f(v). What is the remainder when 5 is divided by t(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -267 + 272. What is the fourth smallest value in 4, -0.1, g, -3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(8\/4)*-8. Let q be 3\/(-4) + 14\/v. Suppose -1 = -4*c + 7. Solve q = -c*j + 3 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -676 - -162. Let y = w + 514.0000773. What is y rounded to five dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -5\/2 (c) 47\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-107 + 122 - 3 - 249 - 225)*((4 - 4 - 1)*(2 - 2 + 4*s) - s + 3*s + 0*s).\nAnswer: 924*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -39.15 + 39.150547. What is z rounded to four dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**2 - 81120*o - 1134896.\nAnswer: -4*(o + 14)*(o + 20266)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72407686293*q**2 - q**3 - 72407686293*q**2.\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1154 + 1177. Calculate the remainder when 244 is divided by s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1403694 divided by 77983.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6031*g + 5986*g + 1665. Which is greater: g or 556\/15?\nAnswer: 556\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (35\/(-12))\/(-5) - 180\/135. What is the smallest value in -1\/3, n, 4, 5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b - 10*b - 2 = 4*i, 4*b + i = 6. Suppose -5*g - 3*a + 245 = 7, -b*g - a + 96 = 0. Is 51 at most as big as g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*c + 3*c. Let w = 5323\/12208 + -13\/1744. What is the nearest to -2 in w, 6, c?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 2*j = -4, j - 15 = -2*j. Suppose 3 = 4*w - l, 0*l + 5*l = -t*w - 15. Find k, given that 2\/3*k**2 + w - 2*k**4 + 0*k + 4\/3*k**3 = 0.\nAnswer: -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -568655 + 268657. Let g be q\/4 + 3\/(-6). Round g to the nearest 10000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1554)\/11655*30\/(-14))\/((-36)\/(-56))?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:01 PM and 10:45 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 6*j**2 - 1. Let l(i) = -13*i**2 + 2. Let f(c) = -3*l(c) - 5*u(c). Suppose 4*a - 10 = 6, 5*a - 19 = -k. List the prime factors of f(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/188*5060\/(-7590)\nAnswer: -1\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 10*a**3 - 865*a**2 + 415*a + 1290 = 0. What is a?\nAnswer: -1, 3\/2, 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 5, 2, -6, 29, -11 in decreasing order.\nAnswer: 29, 5, 2, 1, -6, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - (29 + -43))\/(-13*12\/(-1404)).\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -31 - -27. Let l be -1 + 3 - (1 + -1). Let o(g) = -g**3 + 6*g - 3. Let x be o(l). What is the closest to 1 in x, -2\/11, d?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x = 710\/9 - 212\/9. Let h = 55 - x. What is the third biggest value in 8, h, 2, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5951 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 5*d = 10. Let a(q) = q**3 - 5*q**2 - 4*q - 8. Let h be a(6). Let b be (h\/6)\/(4\/6). Sort -1, b, d.\nAnswer: -1, b, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2815611 by -2.\nAnswer: -2815611\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -0.08, 300.9, 4, -3\/4 in ascending order.\nAnswer: -3\/4, -0.08, 4, 8, 300.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -649.9915384 rounded to the nearest integer?\nAnswer: -650","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1671890 is divided by 57.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 43 - 68*h + 187*h - 60*h - 63*h. What is the remainder when 301 is divided by r(-2)?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 22332479480 to the nearest one million.\nAnswer: 22332000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 take away 474.8?\nAnswer: -516.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (-82)\/86) + (-7932022)\/(-240026).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**8*i)**(-4\/5)\/((i\/i**(-3\/20))\/i*i**17*i) assuming i is positive.\nAnswer: i**(-507\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1377 - 1376.9999472. Round p to six decimal places.\nAnswer: 0.000053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104 is divided by (-2)\/5 - (-5607)\/105.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide (1 + 7)*(-16 - (-510)\/17)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1506843 divided by 2067?\nAnswer: 729","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 - 10*d**2 + 2*d - 12. Calculate the lowest common multiple of i(10) and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-3\/7)\/(n*n**(3\/2)))\/((n**(-2\/57)*n)\/(n*n**0\/n*n)) assuming n is positive.\nAnswer: n**(-2309\/798)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4 or 1555\/484?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -156, -745, -1730, -3117, -4912?\n\"Answer: -h**3 - 192*h**2 - 6*h + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**2 - 7*p + 2. Let h = -5 + -2. What is the least common multiple of s(h) and (14\/(-5))\/((-1)\/5)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**3*(f**(4\/7)*f)\/f)\/(f*f*f**0)**40)**(-6\/5))**(-38) assuming f is positive.\nAnswer: f**(-24396\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7708 and 5546.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.7672 - -0.6672. Sort -963, r, -0.5 in ascending order.\nAnswer: -963, -0.5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.01 + 0. Let o = 2.99 - v. What is the closest to -1 in o, -0.3, 0.2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 756\/(-540) + 14\/10.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (8 - (2 + 13))\/(2\/(-6)). Solve 60*d = 53*d + z for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 48, 2\/15, -1, -3.67, -2\/17 in increasing order.\nAnswer: -3.67, -1, -2\/17, 2\/15, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-3))\/(205 + -206)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3496 (base 10) in base 2?\nAnswer: 110110101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v. Let d(h) be the second derivative of -h**3\/6 + 26*h**2 - 166*h. Calculate d(m(l)).\nAnswer: l + 52","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 6) in base 2?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.5 - 1.5. Let u = -21 - -20.93. Let d = u - -0.07. Which is the nearest to -0.1? (a) 0.1 (b) n (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 4*g + 7 = 0, 0 = -4*u - 2*g + 4*g - 8. Suppose -3*j + 3*t + 5 = j, -4*t = 3*j - 35. Let p(d) = -2 + j*d - 1 + 0 - 3*d. Determine p(u).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1697 by 1405.\nAnswer: -1697\/1405","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + 1 + 17)*(-23)\/(-207) + (-2)\/(-4)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -111.30473 to the nearest integer.\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k + 12 = -9. Let d(r) = r**3 + 4*r**2 + 4*r + 2. Let s be d(k). Suppose -j - 22 = -2*z - 2*j, -5*z + 61 = j. Is z >= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 9*f - 14 = 0. What is the lowest common multiple of f and 15?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2308*i + 12546 - 12546 to the form l + m*i and give m.\nAnswer: 2308","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/(-6)*48\/(-168).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 4*s - 1978 = 0, 3*a + 1465 + 1499 = 3*s. Let u = a - -2084. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24631467.\nAnswer: 3, 7, 19, 8819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 673773 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 4:49 PM?\nAnswer: 1:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z**3\/4 + 1938*z**2 - 15425805*z\/4 + 774612437\/2 = 0. Calculate z.\nAnswer: 106, 3823","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -521, -520, -519, -518, -517?\n\"Answer: y - 522","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55980355618 - 55980355618 + 48*v**3.\nAnswer: 48*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*g - 21*g - 441. What is the highest common factor of 7 and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 PM and 6:59 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -4, 0.4, 0.2, -119\/2286, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 3*v - 4 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(931)*-2 + -5 - (sqrt(931) + (sqrt(931) + sqrt(931) + -1)*-3))**2 + 2 + (-3 + -1*(sqrt(931) + 5*(1 + sqrt(931))))**2.\nAnswer: 336*sqrt(19) + 42025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 3 - 3)*(-4 + 2 + 1)*(1761*p**2 - 3835*p + 3835*p) in the form n*p**2 + r*p + u and give n.\nAnswer: -7044","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of 73*i**3\/3 - 31. Let l(p) = -p**2. What is l(f(h))?\nAnswer: -5329*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-66)\/(-120)*8 + 2\/(-5). Suppose 73*l = 72*l + h. Let c = 3 - -13. What is the highest common divisor of l and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2580, -2576, -2572, -2568, -2564?\nAnswer: -2560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 53943?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 158522363 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5996)\/(-50) + (-4596)\/(-57450) + 16.\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38b (base 15) in base 5?\nAnswer: 11211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 43, 57, 73, 91, 111, 133?\nAnswer: 157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 6, m: 3, u: 1, r: 2, b: 2, l: 5}. What is prob of picking 1 r and 1 b?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 - 8. Let i(q) = 39*q**2 - q - 1. Is i(z) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (27\/48)\/(15\/(-20)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-11)\/77*-7)\/(5\/(-2))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -0.3, -745, -0.7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 66987\/31 + -2160. Find the common denominator of k and 894\/2235*(-1 + 67\/(-18)).\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8999 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8770*b + 4382*b + 4379*b.\nAnswer: -9*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1323.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 2*u - 2. Let h be (1 + 2)\/(0 + -1). Let f(j) = -1. Calculate h*f(t) + i(t).\nAnswer: 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the third derivative of -u**10\/15120 - u**9\/3780 + u**8\/1120 - u**4\/2 - 13*u**2. Let t(k) be the second derivative of x(k). Factor t(o).\nAnswer: -2*o**3*(o - 1)*(o + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -5*w**2 + 173940*w - 173935 = 0.\nAnswer: 1, 34787","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5616913 micrograms in nanograms?\nAnswer: 561.6913","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 108?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(h\/(h\/(h\/h**(7\/3)))))\/h)**15*h\/(h*(h*h*h*h*h**(-19)*h*h)\/h*h)*h**40)**(-3\/19) assuming h is positive.\nAnswer: h**(-219\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + y = 4, -5*y + 0*y = 3*f + 14. Let d be f*(-5 + 35\/10 + 2). Solve -d = 6*b - 5*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8631.3+-0.6\nAnswer: 8630.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (26\/6 - (-1 - 0))\/((-666)\/(-1998))\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + o = -58, -5*j + 16 = -3*j - 4*o. What is the lowest common multiple of 24 and j?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 - 8. Suppose 3*d = o + 3, j*o + 2*d = 15 - 5. Solve -3*i - 3*s = -9, 4*s = -4*i + 5*s - o for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of b**4\/6 + 3*b**3 + 47*b**2 + 239*b. Differentiate o(m) wrt m.\nAnswer: 4*m + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1227029 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 10 - 24766?\nAnswer: -24756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 177019 to the power of 1\/3, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 72 + -74. Let p be j\/6*0\/(-13). Suppose 1\/4*r + 1\/4*r**2 + p = 0. What is r?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19.29 - 20.29. Put 1\/6, b, -165 in decreasing order.\nAnswer: 1\/6, b, -165","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 - 25. Let m = -11 - a. Let v = -24.2 - -24.7. Put m, v, -0.8 in decreasing order.\nAnswer: m, v, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of 117*o**2 + 48*o + 54. What is the units digit of t(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t**5 - 4*t**5 + 0*t**5 + (0*t + 0*t + t)*(-3*t**4 + 3*t**4 - t**4) - 2*t**5 + 2*t - 2*t)*(0 + 0 - 7)*(-2 + 2 + 1).\nAnswer: 35*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*u**2 + 3*u**3 - 3 + 5*u**3 + 0*u**3.\nAnswer: 8*u**3 + 14*u**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange u**3 + 9*u - 21*u**2 + 20*u**2 - 2 + 10*u - 8*u to g*u**3 + i + b*u**2 + v*u and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -247*a - 205*a - 4976 = 205*a - 35*a for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/200 and -19\/16260.\nAnswer: 162600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*h**3 + 21*h**3 + 6*h**3 + (-2 + 2 - 1)*(-2*h + h**3 + 2*h) - 11*h**3 + 6*h - 6*h - h**3 + 0*h**3 - h**3.\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 259452 and 237831?\nAnswer: 2853972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 3432034041 (base 5) to base 3\nAnswer: 112110200112222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 345 - 136. Suppose -449 - z = -7*r. Calculate the remainder when r is divided by 32.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of k**4\/18 + 6. Let o(n) = 0. Calculate n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(2\/7))**(1\/47))**(-20)\/((x\/(x\/(x*x*(x*x**0*x*x)\/x*x)*x))**16)**(-3) assuming x is positive.\nAnswer: x**(62988\/329)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 430821 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3370 and 49178747.\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 353196?\nAnswer: 2, 3, 9811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*y**4 + 297361*y**3 - 80*y**2 - 1547085*y - 76 wrt y?\nAnswer: -24*y**2 + 1784166*y - 160","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one quarter of a meter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -434102, -436506, -440512, -446120, -453330?\n\"Answer: -801*g**2 - g - 433300","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -45 times -19.36?\nAnswer: 871.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -27 (b) 0.5 (c) -0.4 (d) -26 (e) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.45 - 10.35. Let c = s + 7.8. What is the second smallest value in c, -5, -1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 1 = -z. Let g(q) = 2*q. Determine g(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*s = -4*s + 12 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 58*w. Let h(f) be the second derivative of f**4\/6 - 21*f. Determine h(s(t)).\nAnswer: 6728*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:12 PM and 12:14 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 36.516 + -36.016. Let j be 49\/21*8\/21. Which is the second biggest value? (a) x (b) j (c) 2 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -504 divided by -24.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, 10.1, 2, 1\/14?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 225722*r**4 + 5*r**3 + 164859614?\nAnswer: 902888*r**3 + 15*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -1 + -8 + -2 - -7.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, r: 3, g: 1}. Give prob of picking 1 a, 1 g, and 1 r.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94*o - 178750 = -105*o. Is o a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57782 divided by -28891.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/43095 and -59\/43095.\nAnswer: 43095","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the first derivative of 5*s**3\/6 - s**2 - 2*s + 4. Let z(d) be the first derivative of b(d). Differentiate z(j) wrt j.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**1)**(-9)*q**(-7)*q**(2\/11)\/q)\/((q*q*q*((q**(2\/5)\/q)\/q)\/q*q)**12*(q**1)**(2\/19)) assuming q is positive.\nAnswer: q**(-35241\/1045)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 11*g - 542. Let r be p(48). Let w be (35\/r)\/(2\/(-40)). Factor 40 - w*h - 5\/2*h**3 + 20*h**2.\nAnswer: -5*(h - 4)*(h - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 68749*t**3 - t**2 + 390964*t?\nAnswer: 412494*t - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1201116 is divided by 193?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r - 34. Let a be y(36). Factor -12*i**3 - 192*i + 192 + 3\/4*i**4 + 72*i**a.\nAnswer: 3*(i - 4)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 + 10*w**2 - 10*w + 11. Let m be t(-11). Which is the nearest to m? (a) -4 (b) 3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2811*i**2 + 345*i**2 + 1156 - 1156.\nAnswer: 3156*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1565068 and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.21 + 4.21. What is the closest to 2\/7 in 5\/2, n, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 182*k**3 - 835993*k - 669096321 with respect to k.\nAnswer: 546*k**2 - 835993","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1a40 + -18?\nAnswer: -1a58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -27, -117, -259, -453?\n\"Answer: -26*z**2 - 12*z + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 190 = -v + 3*h, -3*h = -15. Calculate the highest common factor of v and 49.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 7.966637ng?\nAnswer: 0.000000007966637","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/43446 and -89\/12254?\nAnswer: 477906","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 + 12. Suppose -4*v + v + 27 = j*o, -2*v = 3*o - 23. Does 3 divide 1 + (-2 - -2) + v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/51 or -159.343?\nAnswer: -159.343","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 32837 + -0.3.\nAnswer: 32836.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 229 - 217. Let u = 20.9 + -17.9. Which is the nearest to -0.1? (a) u (b) l (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/16 + -1 + (-15)\/((-540)\/24).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6850070?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 390 is divided by 178.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-11)\/(-33))\/((-2)\/(-30)). Let h(g) be the second derivative of 0*g**2 + 1\/6*g**3 - 1\/42*g**7 + 0 - 2*g + 1\/15*g**6 + 0*g**v - 1\/6*g**4. Factor h(x).\nAnswer: -x*(x - 1)**3*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v**(-4))**30)**(-1\/21))**(-1\/11))**(44\/7) assuming v is positive.\nAnswer: v**(-160\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.3174 times 0.63\nAnswer: 0.199962","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4063146?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 3*z - 6000 = 8*z, -5*d + 3*z = -5988. Which is smaller: d or 1197?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-6)\/k)**(-8\/7)\/((k\/(k\/(k*k*(k\/k**(-2\/49))\/k))*k*k)\/k**(-2)))**46 assuming k is positive.\nAnswer: k**(4416\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(25\/6))**26\/((q**(-3\/8)*q)\/(q*q*(q\/(q**(-3\/16)\/q))\/q)) assuming q is positive.\nAnswer: q**(5323\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 431 - 31 + 110 = -102*t. Put t, -2, 6715 in ascending order.\nAnswer: t, -2, 6715","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2877, 1\/2, 1, 5 in ascending order.\nAnswer: -3, 1\/2, 1, 5, 2877","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 4.8 * 94.77\nAnswer: 454.896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*-105331.63\nAnswer: 52665.815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3938856 and 4383.\nAnswer: 1461","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*v - 66*v + 3*j = 15, 2*j = -2*v + 6 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6962242 decades in centuries?\nAnswer: 0.06962242","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -56 - -269?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 + (1 + -18 - -13)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 34*d - 4. Let x be c(3). Calculate the highest common factor of 14 and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2*a - 2 + 3 - a**2 + 1. List the prime factors of k(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -202*y**3 + 98*y**3 + 106*y**3.\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -3*y**3 + 9*y**2 + 4*y + 5. Let h(n) = n**3 - n - 1. Determine -4*h(k) - s(k).\nAnswer: -k**3 - 9*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 + 8*a**2 - 8*a. Let d(b) = -b**2 + b. Let v(r) = -2*r**2 + r - 24. Suppose 0 = -3*z - z. Let h be v(z). Calculate h*d(t) - 3*p(t).\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -3*k - 5 + 4 + 4*k + 4*k**2. Let a(i) = -2*i**2 + 4*i - 2. Let j be a(2). Is t(j) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3397 and 2.9721093078?\nAnswer: 3394.0278906922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*u - 91*u + 31*u)*(37*u**2 - 26*u**2 + 41*u**2).\nAnswer: -2444*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 + 4. Let n(u) = 3*u**2 - u + 12. Let a(y) = 17*k(y) - 6*n(y). Let m be ((-24)\/(-20) + 1 - 2)*(-4 - -24). Give a(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/28 + 1280\/(-112)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14609305 is divided by 29?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2 - 23*i - 121. Let c(x) = -x**2 - 23*x - 116. Let f(q) = 3*b(q) - 4*c(q). Let m be f(-6). Does 1\/1506 = m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1 + 0. Let r = 3.4 + -3. Let m = -30.5 - -31. Which is the nearest to z? (a) r (b) -0.5 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pavvpnappvv. Give prob of sequence papv.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -583 - -693. What is the greatest common factor of 495 and v?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 56 = 2*o, -o = -i + 16 + 6. Suppose 0 = -i*s + 30*s - 15. Sort 2\/15, -10, 4, s in decreasing order.\nAnswer: 4, s, 2\/15, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 2\/15, 0.9, -2\/65, -135?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1960173.\nAnswer: 3, 19, 3821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-260)\/15*(-78)\/104?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 219 = a, 4*a + 139*n - 901 = 134*n. Calculate the greatest common factor of 602 and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 1:54 PM?\nAnswer: 1:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 13*j**2 - 16*j + 1426. Let i(b) = 19*b**2 - 25*b + 2140. Let c(l) = -5*i(l) + 7*v(l). Differentiate c(a) with respect to a.\nAnswer: -8*a + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-1 + -2*sqrt(19)))**2.\nAnswer: 16*sqrt(19) + 308","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k + 9. Let j be y(-10). Let r be (j - 1) + 8 + -3. Let d be r\/(-2) + (-70)\/(-20). Solve 0 = -2*n + 6*n - 5*l + 7, d*n + 3 = 3*l for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -41 + 327\/8. Sort p, 3\/5, 0.4 in descending order.\nAnswer: 3\/5, 0.4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r**4\/2 - 5523*r**3\/2 - 2513805*r**2\/2 + 2519331*r\/2 = 0. What is r?\nAnswer: -1013, -829, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 2\/21 (c) -19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1187, -1125, -1051, -959, -843, -697, -515?\n\"Answer: r**3 + 55*r - 1243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*s**11*s*s\/(((s*s**(13\/2)\/s)\/s)\/s*s))**(-3) assuming s is positive.\nAnswer: s**(-57\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6.94 + 7. Let g = 5.06 - q. Which is the second smallest value? (a) -1\/4 (b) 0.4 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -180*n - 3 + 98*n + 85*n. Let b(c) = c - 2. Give -10*b(f) + 6*s(f).\nAnswer: 8*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 4:23 PM?\nAnswer: 11:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 88 = -67. Solve -2*l - 11 = -k for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -169\/19536 and 17\/428.\nAnswer: 2090352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1492 - 2175*r + 538*r + 541*r + 549*r + 545*r.\nAnswer: -2*r - 1492","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 49 + -33. Suppose 11*r + 100 = c*r. Suppose 5*m = -5*y - r - 25, 2*m = y - 9. Let q(j) = -3*j - 9. Calculate q(m).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1098, -2387, -3838, -5445, -7202?\nAnswer: -9103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1210020 - -1000011?\nAnswer: -210002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-12)\/(-30))\/(9\/810). Solve j + n = -17*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -5 + -32 + 48 - 3.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 875923216*x**3\/3 + 4379320120*x**2\/3 - 1479775*x\/3 + 125\/3 = 0. Calculate x.\nAnswer: -5, 5\/29596","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 + 10*w**2 + 17*w + 10. Let u be n(-8). Find the third derivative of 1150*z**6 + 2*z**2 + 9*z**2 - 1106*z**6 + 11*z**u wrt z.\nAnswer: 5280*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**2 + 592*a - 1740.\nAnswer: -4*(a - 145)*(a - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 7*r + 5 + 3 - 20.\nAnswer: -7*r - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11969\/10 + 1209. Let t = l + -25\/2. Let r = -0.22 - -0.02. Which is the smallest value? (a) 2\/15 (b) t (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8199914 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5833 - -10477. What is the hundreds digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + s - 15 = 0, -s = -5*i + 22 - 5. Let y(w) = -w**2 + 7*w + 1. Let m be y(5). Suppose -7 - m = -3*a. Calculate the lowest common multiple of i and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-99)\/12)\/(((-414)\/736)\/(3\/2)). Solve -k*j = -17*j - 15 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 35, 1, 0, -2\/37?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.1 - -1.1. Let k be -1 - 93*2\/(-190). Let n = -8\/19 - k. Sort 2, n, p in decreasing order.\nAnswer: 2, n, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 + -69 - (24 + 2 - 14 - (-4 + 1)).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ojokkjkhokkko. What is prob of picking 1 o and 1 j?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -c**5*n - 8*c**4 + 294*c**2*n + 23151*c*n + 7*c wrt c?\nAnswer: -20*c**3*n - 96*c**2 + 588*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1016675 (base 8) to base 12.\nAnswer: -110139","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 163 a factor of 5842?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70 = -23*t + 58*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 32744557 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -65 + 1. What is the common denominator of -73\/8 and (-12)\/(-18)*462\/n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1149*a**2*g**3 - a**2 + g**5 - 559*g**2 wrt g?\nAnswer: -6894*a**2 + 60*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p - 33 = -492. What is the highest common divisor of 170 and p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 448893 and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 + 0)*8\/6. Suppose 4*g = q + 3, 5*q - 5*g + 4 = 19. What is the remainder when (t\/(-3))\/4*51 is divided by q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -8*b**2 + 12 + 4*b**2 - 25*b - 1. Let n(d) = 6*d + 27*d + 3 - d**2 - 39*d. Let q(f) = 6*j(f) - 22*n(f). What is the second derivative of q(y) wrt y?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 + -10. Let n be (-24)\/9*4*(-27)\/(-48). Sort v, n, -5, 1 in descending order.\nAnswer: 1, v, -5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(6\/4))\/(126\/9639)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4\/43 (b) -28.449 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - -4)*(-1)\/((-6)\/9). Let m(t) = -24*t**2 + 7*t + 34. Let h(c) = -23*c**2 + 6*c + 33. Let w(i) = g*m(i) - 7*h(i). Differentiate w(k) wrt k.\nAnswer: 34*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 161, -24, 9.\nAnswer: -24, 9, 161","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1719 divided by -4401.\nAnswer: 191\/489","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -2820, 5, 23, -5, -3 in increasing order.\nAnswer: -2820, -5, -3, 5, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2\/5 + 189100*z - 22349256250.\nAnswer: -2*(z - 236375)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5715 = -81*d - 554*d for d.\nAnswer: 9","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 ihhliillilnnnnl?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (168\/(-220))\/(-7)*-12*565\/(-4068).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 4 = 0, 3 = g - 0*p + 4*p. Let l(f) = f**2 - 5*f + 5. Let u(d) be the third derivative of -d**4\/12 + d**3\/3 - 2*d**2. Determine g*u(a) + 2*l(a).\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -652011*m**3 - 1363954*m**2 - 8 wrt m?\nAnswer: -3912066","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -2, 5 in descending order.\nAnswer: 10, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 24 by -38.\nAnswer: -12\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -6857*k**3 + 11*k + 10833. Let y(i) = -11428*i**3 + 18*i + 18056. Let w(v) = 13*b(v) - 8*y(v). Find the first derivative of w(q) wrt q.\nAnswer: 6849*q**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 6, o: 2, b: 4, z: 3}. Give prob of sequence ho.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -2*h**2\/9 - 4*h - 112\/9 = 0.\nAnswer: -14, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 101*q + 195. Determine c(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/156 and -129\/17878250.\nAnswer: 107269500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -46\/165 and (-14)\/259 - 32460\/(-17316)?\nAnswer: 2145","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5)\/30 - 51800\/(-48) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 + 8*q + 8. Let h be a(-7). Let g be 1 - (0 + (1 - 1)). Let o be g + 1 + -3 + h. Solve s + s = o for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 50.01 + -49544.\nAnswer: -49493.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:20 AM and 12:00 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is e + 234?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a second in milliseconds?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 126*m**3 - 64*m**3 + m**2 + 15*m - 23*m**3 - 13*m + 2*m**4 as l*m**2 + g + d*m**4 + x*m + p*m**3 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3384 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 713973?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lgjl when four letters picked without replacement from gjrlpprlpr?\nAnswer: 1\/2520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and -0.03.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -240 - -156. Let b = -83 - f. Suppose -5*c + 13 = -3*c + 3*i, -19 = -2*c + 3*i. What is the greatest common divisor of b and c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 71 + -121. Let l = n - -49.6. Suppose 6*x - 18 = -0. What is the second biggest value in l, x, 1\/3, 10?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -22498.84 to the nearest 1000.\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 - 4*g**2 - 5*g - 2. Suppose 54 = -2*y - 3*u - 16, 0 = 5*y + 3*u + 193. Let m = y + 38. Give v(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-36 - 28 - 7 - 41 + 25)*(-3*b**4 + 3*b**4 - 2*b**4).\nAnswer: 174*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -4*l + 5, d + 23 = -4*l + 38. What is the nearest to 2\/19 in 0.3, -9, l, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/36 of a day in minutes?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.85 times 10\nAnswer: -8.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7266265, 14532531, 21798795, 29065057, 36331317, 43597575, 50863831?\nAnswer: 58130085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18.760549 - 6.538977. Let m = q + -20.921631. Let y = m + 8.7. Round y to 5 dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from idjlloj. What is prob of picking 2 l?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.9 + -0.9. Let i be (-1375)\/(-280) + (-2)\/7. Let u = 5 - i. What is the third biggest value in u, -0.4, d?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -356 * 244\nAnswer: -86864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 2:42 AM?\nAnswer: 1:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/(-9)*(-9)\/(-2). Factor 4*w**2 + 15*w**3 + 16*w + 18*w**3 - 16 - 37*w**z.\nAnswer: -4*(w - 2)*(w - 1)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 3*n = 48, 3*l - 8*n = -3*n + 25. Suppose 6*a - l = a + 3*x, -4*a + 4*x + 20 = 0. Is -2\/39 at least as big as a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 965, 960, 955, 950, 945?\nAnswer: 940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 659 + -656. Suppose 0 = 31*u - 34*u - 5*l - 7, 5*l = u + 9. Sort a, u, 2, -11.\nAnswer: -11, u, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w + 4*w - 342. Suppose -2*j - 4*l = w, 3*j - 3*l - 15 = -45. Which is the third smallest value? (a) 1\/4 (b) 1\/5 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 946, 1973, 3098, 4321, 5642?\n\"Answer: 49*r**2 + 880*r + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the first derivative of -l**3\/3 - 1. Let m(h) = -2262*h + 1231 + 2255*h - 1237. Give m(b(o)).\nAnswer: 7*o**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10\/85 + 3823\/17. Let b(g) = 3*g**2 - 31*g - 6. What is the lowest common multiple of s\/10 - (-2)\/(-4) and b(12)?\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 4*v - 21 = 0, -3*c + 2*c + 2*v + 9 = 0. Let r be c*36*(-209)\/(-22). Let x = 635 + r. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2877538*1.3\nAnswer: 3740799.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((j - 5*j + 2*j)*(-39 - 105 - 76) + 17 - 7*j - 17)*(3 - 3 - 2).\nAnswer: -866*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18 - 38 - 25 + 33 - 34 + 419*s + (4 + 1 - 7)*(1 - 1 + 2*s) to j + f*s and give f.\nAnswer: 415","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 812*k**2 + 1472*k**2 + 841*k**2 - 3127*k**2.\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add -12.40895 and 0.5.\nAnswer: -11.90895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 + 33 = 2*w. Suppose 5*j + 3*y - 77 = 0, w = 3*j + 2*y - 20. Is j a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 5599*q - 5612. Determine y(1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*l - m + 10, -17*l + 12*l - 3 = 3*m for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 11 = 2*j - 49, -d - 40 = -4*j. Let k = -693 + 699. Let m = j - k. Solve -3*v = -4*v - m for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 3 - 5. Let i be y\/(-7) - (-4)\/(-14). Suppose -4*o + 6 + 2 = i. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 82\/29 (b) -34 (c) -0.116\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1312038 and 71?\nAnswer: 93154698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 2*u**3 - 3*u**3 - 7*u - 7 - 3*u**2 - 3*u**2. Let p be f(-5). What is the second derivative of -t**3 + t**3 + t + 0*t + t**p wrt t?\nAnswer: 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*c - 680 = u, -259*c - 34 = -263*c + 2*u + 86 for c.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(1\/2)*((p*p**(-4)*p)\/p)\/p)\/(((p*p*p**(-1\/7)\/p)\/p)\/p*p*p**3\/p))**(2\/15) assuming p is positive.\nAnswer: p**(-5\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 9*h. Let p be s(0). Suppose 2*j + 25*v - 27*v + 2 = 0, -j - v + 1 = p. Which is the nearest to 0.8? (a) -1\/4 (b) -2 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-1 + -12606)\/((-53)\/(-44 + 150))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -22 - 18. Suppose 0 = -7*r + 332 - 304. Solve g = r*q + q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10939 + 0.2326989.\nAnswer: 10939.2326989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -612*n = 99*n - 562191255. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-140)\/(-6))\/((-2)\/(-2400)). What is j rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/683 (b) -3 (c) -0.8 (d) -1037\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*27\/(-156)*(-12)\/(-54).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 89*z**3 - 19*z**2 + 25*z + 56. Is r(3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 41280 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 11015487611 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 308 and 2464?\nAnswer: 2464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 + 7*r**2 + 9*r - 6. What is p(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33323*b = -33317*b - 2508. What is the remainder when b is divided by 166?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 12:03 PM?\nAnswer: 1:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16 is divided by 15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -4*k**3 - 2*k**2 - 4*k - 6. Let u be x(4). Is 10 a factor of 0 + (-1)\/(-3) + u\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(63)\/(sqrt(81)\/sqrt(9)) - 2*sqrt(252)) + 3)**2.\nAnswer: -66*sqrt(7) + 856","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 6. Which is the third smallest value? (a) -4 (b) s (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uztg when four letters picked without replacement from {g: 2, c: 1, u: 1, t: 1, l: 1, z: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -193, 2856, -28.\nAnswer: -193, -28, 2856","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 885 and 2100?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 7956*-45\nAnswer: -358020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -123313332 (base 4) in base 6?\nAnswer: -2240330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i**3 + 6426352*i**2 + 494805692*i + 488379344 = 0. What is i?\nAnswer: -1606511, -76, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.464644nm in centimeters?\nAnswer: 0.0000000464644","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7738331?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2096, -3500, -4912, -6332?\n\"Answer: -4*b**2 - 1392*b - 700","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1545956342?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 9) to base 3\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3*(-20)\/(-105)*(-7)\/14)\/((-244)\/(-56)).\nAnswer: -4\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + -1392?\nAnswer: -1391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -327, -303, 8 in decreasing order.\nAnswer: 8, -303, -327","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24691.\nAnswer: 24691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -4*f - 3. Suppose 4*d - 8 = 12. Let m(j) = d*j - j - 100 - 3*j + 101. Calculate 4*i(x) + 14*m(x).\nAnswer: -2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of -63*(-19)\/((-57)\/(-745))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 91a348 (base 13) to base 15.\nAnswer: 4703c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 87843 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 0.58 (b) 42 (c) -11.4 (d) -3 (e) 1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.11, 1, 0, 2\/5?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in 0.2, 4, -0.5, -3\/8, -24.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2397641 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/25346 and -1\/6003.\nAnswer: 228114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2*t**2 - 25*t + 5. Let y(s) = 6*s**2 + 90*s - 18. Let v(o) = -18*u(o) - 5*y(o). Let w(f) = 8*f. Give w(v(l)).\nAnswer: 48*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2006aa8 (base 12) to base 13\nAnswer: 1316894","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -6 + 2\/15*z**2 + 8\/5*z = 0. Calculate z.\nAnswer: -15, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-2)*-1*(-385)\/(363825\/(-810))?\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0018820946 rounded to six decimal places?\nAnswer: 0.001882","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 + 7*f**2 + 7*f - 4. Calculate the remainder when s(-4) is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 3 = -21. Is 4\/u*2 - (-34765)\/15 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 - 9*z**2 + 10*z + 9. Let y = -4 - -5. What is the remainder when (y + -2)\/((-2)\/70) is divided by a(-10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.806843 weeks in nanoseconds?\nAnswer: 2302378646400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1, -8, 46857, -4, 2 in ascending order.\nAnswer: -8, -4, -1, 2, 4, 46857","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 - (-30 - (4 - 20) - 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 11) to base 9\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11633 = -74*s + 10301 for s.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3966*g - 3966*g + g**2 - 2*g**2.\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13330244131 + -30?\nAnswer: -13330244211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - -2. Let h(k) = k - 1. Let p(v) = 2*v - 3. Suppose -4 + 10 = -o. Let s(w) = j*p(w) + o*h(w). Let u(l) = l**2. Determine u(s(c)).\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 - 37746875313\nAnswer: -37746875312.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1892 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the second derivative of -x**6\/255 + 7*x**5\/170 + 13*x**4\/34 + 53*x**3\/51 + 22*x**2\/17 + 3*x + 13. Suppose k(s) = 0. What is s?\nAnswer: -2, -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 64419 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 118*y - 1881 = 131 + 112 for y.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -46, -51, -68, -103, -162, -251, -376?\nAnswer: -543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -12*s - 7. Let p be v(-7). Suppose 4*y = 3*a + 19 - p, -4*a + 70 = 2*y. Suppose -2*n + 4*i = -a, -i + 78 = 7*n - 2*n. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -73 + 11. Calculate the remainder when a is divided by 25.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 3*y = 1080, -5*a + 3*y = 4*y + 1794. Let u = 100293\/22 - 4563. Calculate the common denominator of u and 2\/(-9) + a\/18.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*q + q. Suppose 5*w - 505 = -q*w. What is w rounded to the nearest ten?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 16030\/6761?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 - (-5 - (5 - 15))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -77.92 - -85. Let o = z + -0.08. Let p = o + -4. Which is the nearest to -2\/3? (a) -3 (b) p (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 155859, 155873, 155887, 155901, 155915, 155929?\nAnswer: 155943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 160681*b - 1124813. Calculate a(7).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-1255014)\/89670 + 20\/(-4900)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 PM and 12:05 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 27924 to the nearest integer?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -6*z + 27 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 40 and 3960.\nAnswer: 3960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17\/164 - 6\/41. Let i = -1369 + 1370. What is the closest to 1 in 2\/3, w, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n**2\/5 + 31676*n\/5 - 44366 = 0.\nAnswer: -15845, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 316 is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 77 + -73. What are the prime factors of (1 - 50\/b)\/((-37)\/222)?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the second derivative of 33*s**8\/28 + 5*s**4\/3 - 7*s + 6. What is the third derivative of i(u) wrt u?\nAnswer: 7920*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14\/(-7)*15\/(-48)*10\/(-25)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 260 and 15?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + 2 + -8 + 13.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -38.19 and 0.556?\nAnswer: -21.23364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*l + l + 60. Let k = l + -6. Let m(w) = 2*w - 7. Let b be m(k). Solve 4*j - 15 = 3*z, -z = -0*j + j + b for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (20\/(-15))\/((-2)\/18). Suppose -2*d = -3*d - 4*t - 2, 4*d - q = 4*t. What is the derivative of -2 - d*n + 2 - 3 wrt n?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7892 + 7892. Is h at least -0.1812?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -7, 328, 1321, 3290, 6553?\n\"Answer: 53*p**3 + 11*p**2 - 69*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 3*p + 93 + 69, -p - 66 = -5*b. What is the units digit of 20*(-3 - p\/15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1800)*-3)\/(2*sqrt(144)) - ((sqrt(2) - sqrt(2)*-6) + sqrt(2) + 4 - (-4 + sqrt(12)\/sqrt(6) - sqrt(2)))) + 0)**2.\nAnswer: 188*sqrt(2) + 2721\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 550518 is divided by 183462.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.4 (b) -4 (c) -2.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12150 - 12150 - 14741*a - 1353*a to n + d*a and give d.\nAnswer: -16094","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -3*z. Let q(f) = 76*f**2 + 67*f**2 - 227*f**2 + 72*f**2. Determine r(q(i)).\nAnswer: 36*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u + 26 = -6. Let v(m) = -m**3 + 13*m**2 + 13*m + 19. Let a be v(14). Suppose j - a + 2 = 0. Put u, j, -1 in increasing order.\nAnswer: -1, j, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -30821*f**3 - 51*f**2 - 9874141*f wrt f.\nAnswer: -184926*f - 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 98971, 395770, 890441, 1582984, 2473399?\nAnswer: 3561686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/1*9*(-11)\/(-198).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 8*b**2 + 3*b - 3. Suppose -w = 4 + 1, 3*s = -4*w - 53. Let x = -9 - s. Let g be l(x). Solve 0*d - 5*j = 2*d - g, -4*j = -3*d - 5 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of -23 + 5*l + 1\/2*l**2 - 1\/3*l**3. What is u(4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/55 - (-16)\/33?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (-99 - -5 - -3)) + 3 + 34 + -36.\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -5*d. Let i(t) = t**2 - 1987*t. What is i(g(p))?\nAnswer: 25*p**2 + 9935*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -4 + (7 - 2) - 18\/(-25) and -63\/25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 7) to base 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + -4. Suppose -2606*w = -2605*w + 1. Sort 0, w, -4, n in decreasing order.\nAnswer: 0, w, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1364 - 1363.5. Put 0.3, -0.068, -7, 3, f in descending order.\nAnswer: 3, f, 0.3, -0.068, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9412340.\nAnswer: 2, 5, 7, 67231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1101 - 6605\/6. Let 1\/6*q**2 - h*q + 1\/6*q**3 - 1\/6 = 0. Calculate q.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8177 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 559352 divided by -4?\nAnswer: -139838","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 + -11. Solve u*g + 2*g = 25 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71 = 18*u + 1 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (50 - (4 + (6 + -15 - 0)) - 1).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + (-1)\/(-5) - (-6656)\/(-130). Suppose x = p + 74, 5*x - 2*p - 379 = -0*p. Let f = x + s. What is the greatest common divisor of f and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2504?\nAnswer: 2, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one quarters of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 196 = -100. Suppose -2*q = b + 104. Let t = -83 - q. Solve 0 = t*i - 3*i - 6 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*a - 166 = -505 + 249 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5948459?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0\/2 - -18) + 2*-1. What is the highest common factor of w and 144?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - sqrt(51)\/(2*sqrt(3)))*2.\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9.1 + -9. Let f = -161 - -156. What is the nearest to -1 in f, 0.4, -2, t?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + 0 + 0)*(-b - b**3 + b) + 3*b**4 + 8*b**4 - 6*b**4 + 0*b**4 - 4*b**4 + 2*b**4 + (-1 - 2*b + 1)*(4*b - 4*b - 2*b**3).\nAnswer: 9*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-16)*0)\/2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the third derivative of -n**8\/5600 - n**7\/700 + n**6\/150 - n**4\/6 + n**3\/6 + 3*n**2 + 13. Let q(r) be the second derivative of m(r). Factor q(t).\nAnswer: -6*t*(t - 1)*(t + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1471 - 1477 - 1199 + 159*v + 4147.\nAnswer: 159*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 252 = 4*a - 2*a, -4*l = -3*a - 262. Let y(w) = -w**2 - 12*w - 18. Let u be y(-8). Let k be 3 - (l\/u + -2). Sort k, 2, -0.1.\nAnswer: -0.1, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 7*i - 2. Let b = 0 + i. Calculate the remainder when 33 is divided by 21 + b + 8\/(-4).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p - 3. Let d be r(6). Suppose 4*g - 2 = -d*v - 0, -4*v + 3*g - 39 = 0. Let i = 8 + v. Solve x + i = -0*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -3*f + 2*x + 17, f - 3*x - 6 = 0. Solve -f*o = -5*o - 8 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -1003*m - 114563. Give u(-114).\nAnswer: -221","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6987 divided by -3.\nAnswer: 2329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 3:28 AM?\nAnswer: 7:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.033, -4, 1\/10?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -335, 40, 23, 2, -4 in descending order.\nAnswer: 40, 23, 7, 2, -4, -335","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the third derivative of -641*b**5\/60 - 239*b**4\/24 - 2*b**3\/3 - 674*b**2 - b. What is the second derivative of v(q) wrt q?\nAnswer: -1282","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 3*p = 8*p + 25, -4*i + 5 = p. Suppose 0 = k + k - 5*o - 129, 0 = i*k + 2*o - 164. Does 7 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**4\/5 + 27*c**2\/5 + 54*c\/5.\nAnswer: -c*(c - 6)*(c + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -692*i + 497. Let d(o) = 1064*o - 745. Let p(k) = 5*d(k) + 8*r(k). Find the first derivative of p(z) wrt z.\nAnswer: -216","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2926 - -2928. Let p(c) = 14*c**2 + 5*c + 5. Let n(l) = 7*l**2 + 2*l + 2. Determine y*p(t) - 5*n(t).\nAnswer: -7*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 14, 4, 0.45, -5, -3\/8?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -4*c**2. Let w(u) = -26*u**2 - 1. Give y(w(j)).\nAnswer: -2704*j**4 - 208*j**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111095*v + 3105 = -111026*v for v.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 476*p**2 + 414*p**2 - 771*p**2 + (2 - 2*p**2 - 2)*(1 + 1 - 1) - p + p**2 + p in the form g + x*p + d*p**2 and give d.\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 54098133?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of c**4\/12 - c**3\/2 - c**2\/2 - 1882*c. What is q(-5)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(0 + sqrt(242)) - -2*(sqrt(242) + (-1*sqrt(242))**2).\nAnswer: 484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/(-55) - (-1260)\/200?\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 28*t**2 - 4*t + 10. Let y(n) = 5*n + 5*n - 27*n**2 - 7*n - 9. Let r(u) = -3*a(u) - 4*y(u). What is the derivative of r(o) wrt o?\nAnswer: 48*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:17 AM and 4:26 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 times 1910?\nAnswer: -26740","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 15.9 (b) -0.0156 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the first derivative of -121\/4*u**4 + 0*u**2 + 74 + 5*u + 2*u**3. What is the third derivative of k(d) wrt d?\nAnswer: -726","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*u + 178883 + 159454 = 0. Is u greater than 4176?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14086024607 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1064*n - 11467*n + 12540*n + 1.\nAnswer: 9*n + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -2*x. Suppose 7*v = 3*v + 8. Suppose -v*b = -5*b + 12. Let j(m) = 0*m - b*m + 3*m. Give r(j(g)).\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 26 + -26. Calculate the remainder when 25 is divided by i + -4 - -18 - 0.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.312 + -638957\nAnswer: -638957.312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 207779 is divided by 96?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 459598*d. Let g(c) = 298*c. Calculate w(g(i)).\nAnswer: 136960204*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 5 = -j, -4*j = j + 15 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lmmtttttltmmtmtt. What is prob of sequence tmmm?\nAnswer: 9\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 16*p**3 + 12. Let v be h(-2). Let f(r) = -49*r - 3. Let k be f(4). Let l = v - k. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.6 - -2. Let y = -277.01 + 245.01. Which is the nearest to 1? (a) -4 (b) y (c) -3 (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 16*f + 15*f + 236 = 0, 0 = -3*i - 5*f + 714. What is the remainder when i is divided by 84?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*o**3\/5 + 82418*o**2\/5 - 105277968*o\/5 - 70221944\/5 = 0 for o.\nAnswer: -2\/3, 1426, 12311","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.1 plus 0.0601?\nAnswer: 1.1601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78 = 15*j - 93*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 - 3*c**2 + 2*c - 3. Let x be y(-3). Let o = x + 68. Find m such that -26\/11*m**4 + 8\/11 + 6\/11*m**o - 6\/11*m**2 - 16\/11*m + 34\/11*m**3 = 0.\nAnswer: -2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1717 - -1720. Solve 5*s = -p*h + 2 + 7, -s - 4*h = 5 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51 + 4656*t + 52 - 105.\nAnswer: 4656*t - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.867 + 0.7462. Let m = -0.0208 - t. Which is the closest to -1\/4? (a) -4 (b) 3 (c) m (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 6*p - 2*p = -22, 0 = -p - 3 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and -132?\nAnswer: -264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4 - (-80)\/15 - (-40)\/24. Factor 41 - 91*f + 426*f - 206 + 7*f**3 - 175*f**2 + f**m - 3*f**3.\nAnswer: 5*(f - 33)*(f - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 * -0.0021\nAnswer: -0.0126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(0 + (1*(sqrt(396) - -6*(-1*sqrt(396) + sqrt(396))) - ((sqrt(396)*-2 - sqrt(396))*-6 - (sqrt(396)*-2 + -4))))**2.\nAnswer: 912*sqrt(11) + 142972","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 312808 + -4?\nAnswer: 312804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + -3 + (-301 - -300))\/(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 43 - 20140?\nAnswer: -20042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/(35\/20) - 2) + 2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 r when two letters picked without replacement from cgecrcgecycogcy?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2590 + 12123. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11010211433 (base 5) to base 2\nAnswer: 101101000001110101011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - 2452345001?\nAnswer: -2452345001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + 1 - (-2 + -125996). Suppose 3*b - b = -q. What is b rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 7) to base 6\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-1 + -4 + sqrt(931) + (sqrt(931) - (1 + sqrt(931))) - (2*sqrt(931)*6 - (sqrt(931) + 1 + sqrt(931) - sqrt(931))*6)))**2.\nAnswer: 581875","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 4 - 6)*(34*q**2 - 2*q - 36*q**2 - 1002 + 1170).\nAnswer: 6*q**2 + 6*q - 504","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -14*d**2 - 64*d - 54. What is g(-4)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 2*g + 12. Let c = g - -8. Suppose 3*m - 24 = 36. What is the remainder when m is divided by c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 15 (b) 0.2 (c) 3442\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are -5\/4 and 3740\/263 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 9441577?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 112 and 62622752.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -54633, -109264, -163897, -218532?\nAnswer: -273169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 339581?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:42 PM and 2:30 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14779 + 25976. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**(2\/7))\/b*b)\/(b\/(b*b*b*b**(-1\/9)*b*b)*b))\/(b\/b**(3\/8))**34 assuming b is positive.\nAnswer: b**(-4303\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-100)\/12 + 10 + -3)*(-147)\/(-14)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13 and 962.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.0976 - -0.18877\nAnswer: 0.28637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 4*r + 8 + 10, r - 5*s - 6 = 0. Put r, -1\/5, -3 in decreasing order.\nAnswer: -1\/5, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (88*d + 99*d + 98*d + 74*d - 394*d)*(-3*d**2 + 5*d**2 + 0*d**2) to the form l*d**2 + k*d + o*d**3 + y and give o.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5431*o + 1805*o + 1826*o + 1813*o.\nAnswer: 13*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.01 * -11347\nAnswer: 113.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 17 - -431?\nAnswer: 448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1112762478 to the nearest integer?\nAnswer: 1036","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/25 of a micrometer?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 19288, 75917, 170292, 302413, 472280, 679893, 925252?\n\"Answer: 18873*o**2 + 10*o + 405","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1230*w - 1225*w + 3*i + 10, w = 8*i - 45 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-16)\/(-5) - 2\/10. Suppose 11 + 1 = -q*k. Let v(f) = -2*f - 3. Let w be v(k). Solve -w*x = -4*b + 10 + 2, b = 4*x + 14 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4b - -b4ba?\nAnswer: b46b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 1 = 2*w. Is (2*4)\/(w\/9) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 42441*k - 42449. Give m(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4057 is divided by 369.\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 710, 2825, 6336, 11243, 17546?\nAnswer: 25245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.91 (b) -2 (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -54209 + 94?\nAnswer: -54115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = -6*q - 6, -167*u = -169*u + 5*q + 5 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 4*t + 18 = 0, 3*t + 20 = 5*w - 2*t. Let n(m) = 2*m + 1 - 3*m + m - 2*m + 3*m**2. Is n(w) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -8, -3\/8, -4, 0.03?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 + 7*a**2 + 8*a + 3. Let o be z(-5). Let q = -14 + o. Let h be -1 + q - 732*-1. Round h to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -202622 at least -202622?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 884504?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x**2 + x**2 + 3*x**2 + x - x**2 - x + (5*x**2 - 4*x**2 + x**2)*(-1 + 1 + 2))*(417 - 417 - 25*x**2).\nAnswer: -100*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9864.031um to millimeters.\nAnswer: 9.864031","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 188 = -4*m, -3*m = -2*l - 91 - 45. Let i(x) = -x**2 + 1. Let n be i(0). Let r be ((-3)\/3)\/n + 7. Calculate the greatest common divisor of m and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 + 2*f**2 + f - 1. Let p(t) = -4*t**3 + 7*t**2 + 4*t - 2. Let d(c) = 7*j(c) - 2*p(c). List the prime factors of d(3).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a5 (base 14) to base 5.\nAnswer: -1040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 (base 14) in base 6?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 10 = -5*h, h - 2 = 3*w + 6*h. Suppose 463 = 25*v - 37. Suppose -o = -v - w. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.564535l to millilitres.\nAnswer: 564.535","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -546 (base 11) to base 10\nAnswer: -655","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 16 = 3*y, 14 = -y - 3*y + o. Let h(f) = -24*f + 2 + 42*f - 19*f. Let r be h(y). What is the greatest common divisor of 66 and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 165 and 264?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19662093?\nAnswer: 3, 11, 19, 10453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/(-8))\/((-5)\/(-5))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 2*z**2 - 4*z - 14. Let i = 7 + -1. Calculate the lowest common multiple of k(-3) and i.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -3 + (7 - (-5 - -10)) + 9?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 82*m**2 - 697*m - 20. Let q(z) = z**2. Give k(q(d)).\nAnswer: 82*d**4 - 697*d**2 - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -98.9324 * 0.63.\nAnswer: -62.327412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (772 + 0*n + 4*n + 552 + 404)*(-1 - 1 + 0).\nAnswer: -8*n - 3456","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -592 - -593. Let l(a) = -3*a**2 + a + 3. Let z(u) = -2*u**2 - 2 + u + 4 - 3 + 3*u**2. Calculate y*z(d) + l(d).\nAnswer: -2*d**2 + 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 4 - 1 - (5 + -3 + 10)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i. Let h(y) = -8*y + 2. Determine h(b) - 6*r(b).\nAnswer: -2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -195800131, -195800130, -195800129, -195800128, -195800127, -195800126?\nAnswer: -195800125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1440*g**2 - 1440*g**2 - 2*g**3.\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3 - 876*v**2 - 821089*v + 9977484.\nAnswer: (v - 1441)*(v - 12)*(v + 577)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - 1577919?\nAnswer: -1577923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 50781.47 decades in centuries?\nAnswer: 5078.147","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.11492 to one decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*-429.\nAnswer: 2574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4115*c = -8575*c + 2962*c - 5992 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.08 - 0.48. What is the second biggest value in 4, 0, r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of -3*j**5\/2 + 47*j**4\/12 - 265*j**2\/2 + 2081*j. Differentiate p(s) with respect to s.\nAnswer: -90*s**2 + 94*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 AM and 2:02 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1, 2, 4, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -2*k**3 + 3*k**2 - k + 9. Let f be a(-5). Let h = f + -205. Suppose 0*l = 3*g - 2*l - 197, -4*l - h = -2*g. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 - ((-7)\/(28\/16) + 1). Suppose -3*u + v = -164, -5*u - 3*v = -f*u - 124. Is 11 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 4*c + 105, k + 4*k - 60 = -5*c. Let n = k - 14. Solve 17 = -5*w + g - 1, 3*w + n*g = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -23 + 27.6. Let v = d + 18.4. Let g = 22.999998 - v. Round g to five dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 1 + p + 27.\nAnswer: p + 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s**4 - 68*s**2 + 144*s - 80 = 0. What is s?\nAnswer: -5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -31395 or -31400?\nAnswer: -31400","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 2*j + 6. Suppose 0 = -2*p - 8, 3*z - 5*p = -4*p - 8. Let k be c(z). Is k\/5 + (-294)\/(-35) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1203 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3385448939 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 1. Let f(x) = 2*x + 1 + 1 - x. Suppose 33*w + 49 - 82 = 0. What is w*f(v) - 3*h(v)?\nAnswer: v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 374*a**4 + 1593*a**3 + 5*a + 41251.\nAnswer: 4488*a**2 + 9558*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 28*m**3 - 18*m**3 + 3 - 1 as d*m + i*m**2 + q*m**3 + j and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 - 10*v**2 - 19*v - 27. Determine j(-8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = -3*c + 20, -3*c + 5*o - 177 + 125 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 482 and 33017.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000942 rounded to 4 dps?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 3*q + 71 = 0, 30 + 92 = 4*d + 2*q. Calculate the remainder when 48 is divided by d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(-10)*13)\/(13*16\/416).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10\/((-3*(-2)\/(-132))\/(-1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qppz. Give prob of sequence pp.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3)*-3*4 + 6*3*sqrt(3).\nAnswer: 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -1453*l + 10177. Calculate w(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(-1\/13))\/(n*n\/(n\/(n\/(n*n**(-35))))*n) assuming n is positive.\nAnswer: n**(-467\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.11432243163 rounded to 4 decimal places?\nAnswer: 0.1143","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 175 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 916506216?\nAnswer: 2, 3, 12729253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 60 + 7 = -5 + 12, 72 = -3*i + t - 2*t for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m + 3. Let f be g(0). Suppose -i = -3*q + 2, 0 = 4*q - f*i + 2 + 2. Let c(a) = a**3 + a - 1 - 1 + 0. What is c(q)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -648*o - 237206. Give t(-366).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6003)\/(-27) - 2\/(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*2*((sqrt(704) + 6*(-2 + sqrt(704)))*2)**2*4.\nAnswer: -43008*sqrt(11) + 1108480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 9, y: 4, d: 1}. Give prob of sequence ccy.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from xbbbtbxxxxxxxbxxx?\nAnswer: 55\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -54553 or -54551?\nAnswer: -54553","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -3\/5, 0.3, 4, -0.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 1975*s - 1978. Calculate r(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.97199 weeks in milliseconds?\nAnswer: 13288659552","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -145 - -149. Suppose 0 = -q*u - 11*u + 2145. Suppose r - u = -118. Calculate the greatest common divisor of 200 and r.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 10254 or 10?\nAnswer: 10254","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1890 divided by 18?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - (8 + -8 - (1 - 1))) + 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.03, -4, 0.2, -319?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 8*p. Let h(l) = -4121*l**2 + l - 1. Determine h(m(o)).\nAnswer: -263744*o**2 + 8*o - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jwjjgjgcwjtgbjjjjtj. What is prob of picking 1 c and 2 g?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*r**3*u - 26*r**2*u - 8*r*u - 11*u - 3 wrt r?\nAnswer: 6*r**2*u - 52*r*u - 8*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (6 + -5 + 9)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 482749468 is divided by 37?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 4*b - 16, b + 3*b = -16. Solve k + 5 + h = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*c = y + 37*c - 15, -3*y = 2*c - 5. Solve 8*k - y*k + 16 = -n, -k + 5*n = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/10 of a millisecond in microseconds?\nAnswer: 3300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/(-24)*(-8)\/((-1064)\/(-21)).\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -31 + 26. Sort 1, 5, n in ascending order.\nAnswer: n, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.25 + -0.8. What is p rounded to zero dps?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.4 and 366195.\nAnswer: 366195.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 2*j - 122, 3*j = -2*k - 1182 + 1303. Let w = 1234 - 738. What is the greatest common factor of k and w?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 4230944*j. Let a(z) = 10*z. Give n(a(m)).\nAnswer: 42309440*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -5*k**2 + 7*k - 7. Let w(u) be the second derivative of u**4\/6 - u**3\/2 + 3*u**2\/2 + u. Let j(c) = 3*c + 43. Let h be j(-12). Give h*w(q) + 3*l(q).\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (-23 - -15) + 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 3*l - 61. Let b = 4 - -16. Let o be w(b). Let f be ((-1267)\/(-1295) + o)\/((-6)\/(-5)). Which is smaller: -1 or f?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -71600*b**5*q*y**2 + b**3*y**3 + b**2*q*y**3 - 2*b**2*y**3 - 2800*q*y**3 wrt b.\nAnswer: -4296000*b**2*q*y**2 + 6*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, -1658, -7, -114 in decreasing order.\nAnswer: 19, -7, -114, -1658","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (40\/(-12))\/(2\/6). Let c = x - -16. Solve c = -4*u - 14 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1298 + 283818.\nAnswer: 285116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (30\/(-7))\/((-1)\/7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1697224186.\nAnswer: 2, 7, 71, 659, 2591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -t**6 - 505*t**4 - 93*t**2 + 3*t wrt t.\nAnswer: -120*t**3 - 12120*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2.4 in 0, 0.2, -1\/4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2*v**2 + 5*v**4 + 0 + 3*v**5 + 0*v + 11\/4*v**3.\nAnswer: v**2*(2*v + 1)**2*(3*v + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -3103*k**2 + 344435*k - 241. Determine m(111).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98350.\nAnswer: 2, 5, 7, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the second derivative of -a**6\/25 - 13*a**5\/100 + 47*a**4\/60 + a**3\/3 - 4*a**2\/5 + a - 9. Find f, given that g(f) = 0.\nAnswer: -4, -1\/2, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -301 - -11?\nAnswer: -230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(187)\/(sqrt(44)\/sqrt(4)) + 5.\nAnswer: sqrt(17) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the third derivative of 23*z**7\/5040 + z**5\/15 - 44*z**2. Let i(o) be the third derivative of n(o). Let r(m) = -2*m**2. Determine i(r(d)).\nAnswer: -46*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 0.01, -0.1, -2\/9, -2.1?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - (10 - (9 + 0))) + 4 + -1?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*v**3 - 3*v**3 + 14*v**3.\nAnswer: 7*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rflr when four letters picked without replacement from frraflaror.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 - 4*r**2 - 3*r - 3. Let t(w) = -w**2 - 226*w - 6689. Let d be t(-35). Give v(d).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2274507452?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 1508?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xmxxkxmmkxkmmmx. What is prob of picking 1 x and 1 k?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/((-42)\/3))\/(2\/14).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -2 + 19. Suppose 5*h = a - 2. Suppose q = n - 2, 0*n - 4*n = -3*q - 9. Solve -29 = 5*b + 3*g, -4*b + b + h*g = n for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -99, -119, -165, -249, -383?\nAnswer: -579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (40\/48)\/(((-7)\/(-6))\/7).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, 1\/3, 0, 43\/3, -0.6 in decreasing order.\nAnswer: 43\/3, 1\/3, 2\/7, 0, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.7 - -1156.7?\nAnswer: 1176.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/((35\/(-7) - 5) + 5). Factor -2\/5*s + 1\/5*s**4 + 0 + 2\/5*s**3 - r*s**2.\nAnswer: s*(s - 1)*(s + 1)*(s + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express z - 1854*z**4 - 2*z**2 - 1193 + 7*z**3 - 2*z**3 + 5*z**2 + 1191 - 3*z**3 as v*z**4 + p + s*z**3 + t*z + j*z**2 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 1:09 AM?\nAnswer: 7:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 762 + 180?\nAnswer: 942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-1*(2*sqrt(66) + sqrt(66)) - (4*(sqrt(66)*2 + sqrt(66)) + sqrt(66)))\/(sqrt(150) + (1*sqrt(150)*5 - sqrt(150)) + sqrt(150)))**2.\nAnswer: 704\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25, 87, 205, 391, 657, 1015, 1477, 2055?\nAnswer: 2761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 504040 by -63005.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 41 (base 8) to base 6\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2308 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 89*q - 73 + 80 - 74*q - 3*q**2. Suppose 0 = -2*d + 4*w + 14, 2*d - 5 = 3*w + 8. Let m be b(d). Solve -4*z + 6 = -4*t - 6, t + m = -z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1615, -1799, -2111, -2557, -3143, -3875, -4759?\n\"Answer: -b**3 - 58*b**2 - 3*b - 1553","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -54 - -125. Let k = f - 71.0086. What is k rounded to 3 decimal places?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.48 (b) 0.3 (c) -2\/7 (d) 4 (e) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 587445, 587447, 587449, 587451, 587453?\n\"Answer: 2*y + 587443","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 38 + -35. Let a(w) = 0 - x*w + 2 + 2*w + 6*w - w**2. Calculate a(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/729438 and -103\/50?\nAnswer: 18235950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1990000 rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1983 + 1896.3. Let m = 82 + g. Round m to 0 dps.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 36872434 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 68\/7 - (-6)\/21. Suppose -5*p + 0*q + 2*q = -s, -q = -p + 2. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8074 - -8070. Let p(c) = 131*c**3 - c**2 + 8*c + 15. Let q(y) = -66*y**3 - 4*y - 8. Let z(d) = -3*p(d) - 5*q(d). Is z(l) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 70*o + 9. Let t(f) = -49*f - 5. Calculate 5*c(m) + 7*t(m).\nAnswer: 7*m + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.27, -2\/21, 0, 0.5, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 5, k: 8}. What is prob of sequence eeke?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 6:35 AM?\nAnswer: 6:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are 150499 and -0.1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 176 - 172. Is -1 smaller than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -30, -109, -292, -633, -1186, -2005?\n\"Answer: -9*m**3 + 2*m**2 - 22*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 2*v + 2*v - 111, 42 = v + 4*d. Let n = v + -35. Which is the nearest to 0.1? (a) -1\/11 (b) n (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/13, 2, -1, -15.9, 134 in increasing order.\nAnswer: -15.9, -1, -3\/13, 2, 134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3487178, 3487184, 3487200, 3487232, 3487286, 3487368, 3487484, 3487640?\nAnswer: 3487842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 753, 762, 783, 822, 885?\n\"Answer: a**3 + 2*a + 750","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of -5\/12*h**4 + 0*h + 0*h**3 - 2*h**2 + 0. Let w(j) = 2*j**2 - 48*j - 59*j + 107*j. Give w(u(s)).\nAnswer: 200*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7252 + -7261. Let t be (1 + 1)*(-7 + 8). Which is the nearest to -1? (a) t (b) -1\/13 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 2*s = 8, 3*s - 15 = -2*c - 2*c. Suppose -5*v - c*v - 25664 = 0. Let k be 2\/(-10) + v\/(-40). Calculate the greatest common divisor of k and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1867*z - 350742 = -1888*z. What are the prime factors of z?\nAnswer: 2, 7, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87 + 86 = -w. What is the hundreds digit of 3\/(w\/(676\/(-670)) + 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.079 + 0.421. What is the closest to 1\/3 in 5, -15, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 0 - 463*w + 457*w + 19. Let u(f) = f. Calculate u(n(s)).\nAnswer: -6*s + 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 49\/4 of a milligram?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 2*z + 4. Let d(r) = -6*r - 13. Determine 11*b(q) + 4*d(q).\nAnswer: -2*q - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1075e6 (base 15) to base 16.\nAnswer: -bf7d5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*h + 28 = 17*h. Let d(a) = -a**3 - 7*a**2 - 3*a - 1. Let k be d(h). Calculate the highest common divisor of k and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1556634089 to the nearest integer?\nAnswer: 39454","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*l - 19*l = -125. Suppose -5*u = -3*p - 49, -6*u + u = -l. Sort p, 0, -4, 5 in increasing order.\nAnswer: p, -4, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 6*g - 45. What is t(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes before 4:43 PM?\nAnswer: 5:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 293 + 4\/((-12)\/15). Suppose -365 = 5*a + 3*k - 8*k, 2*k - f = 4*a. Round a to 0 dps.\nAnswer: -71","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of -5*i**8\/168 - i**7\/35 + 7*i**6\/60 + i**5\/10 - i**4\/6 + 3*i**2. Determine a so that f(a) = 0.\nAnswer: -1, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/(-1))\/((-2)\/4). Suppose 26 = 2*f - z*h, -5*f + f = 2*h - 2. What is the greatest common factor of f and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.6655 + 0.0575. Let a = 0.092 - y. Let x = a + -3.6894. Round x to 3 decimal places.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 3*u + 4*m + 6, 2*u + 4*m + 12 = 0. Let s = -1 + 1.2. Which is the closest to s? (a) u (b) -4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78649666.\nAnswer: 2, 31, 43, 29501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.01 in 3\/4, -1\/4, -1\/2?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -499*p - 3563. Give l(-7).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -4*u**3 + 2*u**2 - 4*u + 4. Let s(v) = 5*v**3 - v**2 + 3*v - 4. Let i(b) = 6*g(b) + 5*s(b). Let w be i(-8). Solve 13 + w = -5*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 787, 1575, 2367, 3163, 3963?\n\"Answer: 2*n**2 + 782*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 13 = 1. Let y be (0\/(i\/(-2)))\/2. Suppose 22 = -y*t + 2*t. List the prime factors of t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 to the power of 1\/2, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5*2\/5 + 8. Let j = f + -12. Suppose -2*o - 2 = -t, t = -5*o - 2*t - 5. Sort 10, j, o in descending order.\nAnswer: 10, o, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 355867672.\nAnswer: 2, 6343, 7013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/16287 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-7)\/8 + (-408)\/32 + 14. What is the nearest to 63 in y, -4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(-12)*-1*(-47)\/329*-28.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116*i = 36462252 - 10845972. Round i to the nearest ten thousand.\nAnswer: -220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -3 (b) -13996 (c) 22\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -38631, -39042, -39719, -40656, -41847?\nAnswer: -43286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 396\/5? (a) -2\/9 (b) -2\/3 (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (298 - 290) + 9*1765.\nAnswer: 23, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -2*p**2 - 5*p - 6. Give t(-6).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 979, 2031, 3083, 4135?\nAnswer: 5187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - l)*(4*l + l - l + 3)*(22 - 23 - 25).\nAnswer: 104*l**2 + 78*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g - p - 5, 6*g + 5 = g + p. Suppose -4*f - 10 = -3*c - 0*c, -3*c + 6 = -3*f. Put g, 5, c in decreasing order.\nAnswer: 5, g, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a micrometer in nanometers?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and 898.\nAnswer: -269.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 PM and 4:43 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 39 = 4*q, 3*q = -v - 62 + 38 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-10)\/8)\/(-5) + (-282)\/48 and 59\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the second derivative of a**5\/20 + a**4\/4 - a**3\/2 - 3*a**2\/2 - a. Let i be t(-3). Suppose -v - v = i. Let m(b) = -b - 1. Calculate m(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 7 - 2 - 8.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -2*g**3 - 14*g**2 - 44*g - 272. Give b(-7).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 + 20 = -h + u, -5*h + 9*u + 37 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the third derivative of 0*g**3 + 0 + 3\/16*g**4 + 1\/40*g**5 - 4*g**2 + g. Factor d(h).\nAnswer: 3*h*(h + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 75 and 2400.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.078 minus -7213?\nAnswer: 7212.922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-260)\/312*(-3)\/15?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 + 29. Let m be n\/(-3)*(-6)\/21. Solve 3*h - s = 11, 0*s - 4 = -m*s for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 298 - 3*r + 64 + 2*r**2 - 26 + 3*r.\nAnswer: 2*r**2 + 336","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(72\/(-8))*42\/77.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8)\/28 + (-886)\/(-14). What is the third derivative of 0*u - 2*u - 6*u**2 + 5*u**5 + i*u**5 wrt u?\nAnswer: 4080*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 6, -34, 0.5, 3, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 129128579963 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 2*a**2 + 25. Let m(d) = -3*d**2 - 40. Let z(x) = 8*i(x) + 5*m(x). Let s(u) = 64*u. Give s(z(b)).\nAnswer: 64*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 38311 and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*u = 26 - 6 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 43728679 to the nearest integer?\nAnswer: 6613","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4648872 (base 11) to base 12.\nAnswer: 2878849","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -3*i - 3*i. Solve 0 = 5*x - b + 4*b + 6, x = 3*b + i for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -4399, -3573, -2195, -265?\n\"Answer: 276*b**2 - 2*b - 4673","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1207*m**3 + 3*m + 1885?\nAnswer: -7242*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*v**3 - 70*v**2 + 880*v.\nAnswer: -5*v*(v - 8)*(v + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 3:44 PM?\nAnswer: 2:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2544810 rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1903 or 1901?\nAnswer: 1903","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4066429 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -295*i**2 - 96587623 + 300*i**2 + 96587623.\nAnswer: 5*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-8)*2*(-120)\/(-210)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -51, -157, -327, -561, -859?\nAnswer: -1221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 9*h + 14 = 0. Solve 0 = -d - 3 - h for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -2*v + 34. Let t be a(15). Let q(g) = 45*g**2 + 4*g - 10. List the prime factors of q(t).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9030969 to the power of 1\/3, to the nearest integer?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 9 + 12 = 5*c, 0 = -5*c + 2*a + 23 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*b + 4. Suppose -5*f - h = -20, 3*h - 7*h = b*f - 12. Solve 2*s - f = 6*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 + 70*n**2 - 1027*n + 3399. Calculate m(14).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-6))**(6\/5) assuming b is positive.\nAnswer: b**(-36\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*b**3 + 17509*b**2 + 58*b - 241.\nAnswer: -12*b + 35018","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -42*z + 1733. Is g(-12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t + 1. Let h(z) = -z - 5. Let r(u) = -11*u - 27. Let c(o) = 6*h(o) - r(o). Determine 4*c(b) + 18*q(b).\nAnswer: 2*b + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2420 and 12960.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 316051*-6.\nAnswer: -1896306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand i**2 - 11*i**2 + 4*i**2 + (33*i - 64 + 64)*(i - i - i) - i**2 - i**2 + i**2.\nAnswer: -40*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 161 = 35. Let n be (-2 - 0) + 971411\/i. Let b = n + 9909. Find the common denominator of 79\/6 and b.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + -1. Let v = -97 - -105. Calculate the least common multiple of r and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.93 - 0.03. Let l = -0.4 - -2.2. Let i = l - z. Round i to 1 dp.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q + 1. Let k be z(3). Suppose k*n + 16 = 0, n - 108 = -3*m - m. Calculate the lowest common multiple of m and 40.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2476929.4617 - -2477036.46169623. Let o = 107 - s. Round o to 7 dps.\nAnswer: 0.0000038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -259 - 194 - 1365 = 101*y for y.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*d - 180047*d**2 - 5*d**3 + 180047*d**2 - 3*d.\nAnswer: -5*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of b**3*j**3 + 2405*b**3*j - 59*b*j**4 + 188*b*j**2 + 158*j**3 wrt j.\nAnswer: 6*b**3 - 1416*b*j + 948","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 + ((-2)\/(-2) - 1) + -4. Let j(b) = 7 - 79*b**3 + 44*b**3 + 4*b**2 + 36*b**3. Give j(c).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 5 + 6*r - 3*r.\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -8 - ((-1 - -19) + -14)) + -50?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 166 - 163. Is 4\/(-8) - -1395*f\/6 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 810646 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8 * -1991.\nAnswer: 15928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/(-5)*168\/(-49140). Is -0.3 < u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 321?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*l - 40*l + 205 = -45*l. Let r(c) = -c**2 + 8*c + 13. Let v be r(9). Solve -q + 6*q = v*s + l, 3*q - 25 = -2*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 466, 1963, 4444, 7909, 12358?\nAnswer: 17791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 0 = 12. Let o = -10 - a. Suppose v + u = 4 - o, -v - 2*u - 1 = 0. Let q(z) = z - 3. Give q(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.3*0.496977.\nAnswer: -2.1370011","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 4\/5, 0.049?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (75*(-3)\/324)\/(20\/(-32)).\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53248287 equal to 53248287?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 56550 and 4.\nAnswer: 113100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**3*v\/((v\/(v*v**(-1\/5)))\/v)*v*(v**(-2)*v)\/v*v**(2\/7)*v)\/((v\/(v*v**(-2)\/v*v*v))**(5\/2)*v**(-3)\/v*v**(-2)\/v) assuming v is positive.\nAnswer: v**(741\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, 7, 0.17, 0.03, 14 in increasing order.\nAnswer: -2\/11, 0.03, 0.17, 7, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -117136636 + -23?\nAnswer: -117136661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1687280276 is divided by 210.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11202102210 + 1022?\nAnswer: -11202101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 2*z**3\/7 + 18388*z**2\/7 - 645430*z\/7 + 5537400\/7 = 0?\nAnswer: -9229, 15, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -39023, -75580, -112137, -148694?\n\"Answer: -36557*f - 2466","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -16*h**5 + 414*h**4 - 2716*h**3 + 5286*h**2 - 2560*h - 408 = 0.\nAnswer: -1\/8, 1, 2, 6, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -14*n**3 + 18*n + 13*n**2 - 29 + 13*n**3 + 54. What is the remainder when c(14) is divided by 42?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2434 = -3*m - 835. What are the prime factors of m?\nAnswer: 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -25) + -5 - (46 + -80)?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 1662 divide 43692018?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 + -45 + -7 - (1 + -6 + 12).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 201 = -5*h + 255, k - 114 = h. Suppose -z + 2*u + 19 = -89, -u + k = z. Is 16 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 0 - (-32 - (-2 + 1))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 140\/168 + 3\/18. Differentiate -36*t - 2*t - 115 + f + 32 wrt t.\nAnswer: -38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mhhmhhhhhmh. Give prob of picking 3 m.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 25 = 2*l. Let m = -11 + 4. Let n be m\/4 + (-10)\/(-5). Which is the closest to -2? (a) -2\/5 (b) l (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*f + 44 = -2*f - f. Let k(v) = v - 1. Let o(i) = -6*i + 3. Suppose -2*s + 4*m - 19 = -s, -2*s + m = 10. Let c = -2 - s. Determine c*o(l) + f*k(l).\nAnswer: -2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u + 4*u - 6*u)*(-5 - 2*u + 5) + 3*u - 3*u - 2*u**2 - 2*u + 2*u - 2*u**2 - 3*u**2 - u**2 + u**2 - 11*u**2 - 269 + 269.\nAnswer: -22*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13 + -12210123301?\nAnswer: -12210123320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/2884032 and -115\/19106712.\nAnswer: 152853696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 170367 to the power of 1\/3, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -757 - -766. Solve h = -5*p + 24 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-2108)\/(-6))\/(28\/42)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 9c - 641?\nAnswer: -572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 210441649.\nAnswer: 11, 19131059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2206184 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + n**3 - 1 - 1 - 3*n**3 - 10*n**3 + 23*n**3 + (-1 + 1 - n)*(5*n**2 - 4*n**2 - 3*n**2) as v*n**2 + l*n + c*n**3 + y and give c.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17 - -3. Suppose -2*h = -5*m - 7*h - w, 5*h + 23 = -2*m. Let y(a) = 45*a**3 + 2*a - 1. Is y(m) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -116 - -136. Suppose -u + m = 4*h - 87, -581 = -5*u + 3*h. Is u a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5175 is divided by 1560?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 828 = -0*q + 939 for q.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 14) to base 4\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*m*m**(2\/9)*m*m))\/m**(1\/2)*(m**(2\/3))**(1\/14) assuming m is positive.\nAnswer: m**(-463\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (5 - 35)\/((4*1)\/(-2)). Suppose 0 = w*c - 11*c - 11284. Let h = c - 1916. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 5, q: 3, z: 1}. What is prob of sequence iqii?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 395277 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-19)\/247 - (-42)\/208)\/(7\/112). Solve 0 = 2*w - 4*z + 18, p*w + 2*w = z - 15 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 m when three letters picked without replacement from eemeedejedmjede?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2213132122 - 0?\nAnswer: 2213132122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 68\/18 + 10\/45. Let i be (-60)\/16 + (-1)\/m. Let p be (-6)\/(-9) - (0 - 0). Which is the nearest to p? (a) -2\/7 (b) i (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 h when four letters picked without replacement from hhhcchhhhhhhchchchh.\nAnswer: 1001\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1614 to the power of 1\/2, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*z - 1)*(-3*z + 0*z + 2*z) + (z + 2 + z + 0*z)*(-1188*z + 590*z + 584*z).\nAnswer: -30*z**2 - 28*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1417 is divided by 144.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1204 and 110?\nAnswer: 66220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1880520.\nAnswer: 2, 3, 5, 15671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-27)\/4)\/(24*2\/(-64)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + 1. Let k(i) = -27*i + 106. Let h be k(-3). Suppose -w*j + h = -14. List the prime factors of j.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**6*i)\/(i*i\/(i*i**(-12)\/i))*(i\/((i*i*i\/(i*i\/(i*i\/i**(2\/27))*i)*i)\/i))\/i*i**13\/i)**(-1\/20))**(-18\/11) assuming i is positive.\nAnswer: i**(83\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1218834?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 + 8*p**2 + 2*p + 18. Let x be (-4)\/(12\/(-15)) + -13. Let w be y(x). Factor -3*z**w + 1\/3*z**3 - 16\/3 + 8*z.\nAnswer: (z - 4)**2*(z - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 5*q + 2. Let i be q + 0\/3 + 1. What is the third derivative of 5*v**3 - 4*v**3 + 5*v**i - 9*v**2 wrt v?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + -381?\nAnswer: -37d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 11*z**3 - 4*z**2 + 2*z. Let l(n) = -2*n**3 + n**2 - 1. Let x(o) = 2*l(o) + v(o). Let y(k) = k**3 + k**2 + 1. Give x(f) + 2*y(f).\nAnswer: 9*f**3 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*n - 20*n + 59 = 0. Let t = -209 - n. Let q = -56 - t. What is the tens digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 1 + 1)*(0*c + c - 2*c) - 34*c - 13*c - 25*c)*(5 - 3 - 3).\nAnswer: 70*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, i: 2}. What is prob of picking 2 i and 1 g?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.05 - 4.95. Suppose -4*p = -2*p + 2. Let w = p + 4. Which is the biggest value? (a) w (b) 0.4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 PM and 5:58 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4632767108.\nAnswer: 2, 563, 2057179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27733, -27725, -27713, -27697, -27677, -27653, -27625?\nAnswer: -27593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -2*i. Let l(u) be the first derivative of -105*u**2\/2 - 496. What is n(l(t))?\nAnswer: 210*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -2*d**3 - 99*d**2 + 157*d + 202. Let q be f(-51). Let z(x) = x**2 + 20*x + 38. Calculate z(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 2*g**2 - 1126*g - 1128 = 0.\nAnswer: -1, 564","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 221159 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3\/9 + 58*q**2\/3 - 2273*q\/9 + 1760\/3.\nAnswer: -(q - 160)*(q - 11)*(q - 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**2 - 239665*l + 66286000.\nAnswer: -5*(l - 275)*(l + 48208)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5383 + 14ab?\nAnswer: 6861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2\/27, 0.2, 5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-2277676.\nAnswer: -11388380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 437379, -0.5, 0.4, 0.333?\nAnswer: 0.333","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1330)\/380 + 25266\/4.\nAnswer: 59, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 8 + 7*t - 3*t**2 + t**2 - t**2 + 4*t**2. Let j be (4 - 12) + 1*2. Let p be u(j). Solve 16 = 5*q - 3*n, p*q + 4 = 7*q + 3*n for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 183420.6489 - 0.1261?\nAnswer: 183420.5228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -2\/73, 3, 10, 4.6 in increasing order.\nAnswer: -0.2, -2\/73, 3, 4.6, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 64 - 58. Let t(j) = 9*j + 2 + 0 - 1. What is the smallest common multiple of t(1) and i?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9937 - 8601. What is the greatest common divisor of s and 5678?\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**4\/3 + 3*k**3 + 34*k**2\/3 + 8*k.\nAnswer: -k*(k - 12)*(k + 1)*(k + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes after 12:32 AM?\nAnswer: 12:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 k when four letters picked without replacement from {k: 7, n: 2, u: 1, t: 2}?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -8 + ((-2)\/(-9) - (-195529)\/24849)\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16678 - ((-3)\/(-27) - (-52)\/18)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 - 21*o**2 - 24*o - 75. Is l(-29) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 3:57 AM?\nAnswer: 12:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -28*3\/6 - (-32680)\/2375?\nAnswer: -6\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 118*a**5 - 229*a**4 + 2*a**3 + 23*a**2 + 3756 wrt a.\nAnswer: 7080*a**2 - 5496*a + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 960271 is divided by 591?\nAnswer: 487","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t - 5*y + 425, 2*y + 113 = -4*t + 441. What is the greatest common divisor of t and 869?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 2*g - 6*g. Suppose 2*p = -g*z - 13, 3*z - p = -6*p - 23. Let k = 567\/104 - 66\/13. Is k != z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 + 3)*(-24*i**3 + i**2 + i**4 + 24*i**3) + (-15 + 15 - 12*i)*(i**3 - 4*i**3 + 0*i**3) - 4*i**4 + 3*i**4 - i**4.\nAnswer: 32*i**4 - 2*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*(-2)\/4*5\/(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, d: 2, h: 1}. What is prob of sequence dn?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 2 - 167*q + 171*q.\nAnswer: 4*q + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 f when four letters picked without replacement from fffffffff.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 12, 2*o - o - t + 109 = 0. Let w = o + 202. Is w a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*4313.\nAnswer: -8626","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -488.8 - -495.4. Put 3, -4, v in decreasing order.\nAnswer: v, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-373156)\/(-18) - (-16)\/(2160\/15) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eighteen fifths of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-38 - -35)\/(1*2)*-1858 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82009?\nAnswer: 82009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 336 to the power of 1\/2, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (17 - 22 - (-65)\/15) + 0. Is o > 814?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 48313, 96713, 145113, 193513, 241913, 290313?\nAnswer: 338713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o**(6\/11)\/o))\/(o*(o*o**(1\/11)\/o*o)\/o))**9 assuming o is positive.\nAnswer: o**(36\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*3*sqrt(88))\/(sqrt(8) + sqrt(200)*1)*4.\nAnswer: -8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 80543.03 millilitres to litres.\nAnswer: 80.54303","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -59*a**3 - 5*a**2 - 13*a - 67. Is 46 a factor of f(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -5, 1, -2, 9 in descending order.\nAnswer: 12, 9, 1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 621467952*c**3 + 1222139054 wrt c?\nAnswer: 1864403856*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 9:17 PM?\nAnswer: 6:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide (-2 + 3 + 1)\/(-17) - 3005616\/(-136)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 195 - 192. Solve -r = 4*q - q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 60e - 29?\nAnswer: 5e5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 9348643789 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bvmv when four letters picked without replacement from {f: 1, b: 2, v: 2, m: 4}.\nAnswer: 1\/189","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11102 is divided by 883?\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 18665 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 6*j**2 - 6*j - 2*j + 8*j**3 + 2*j. Let t(a) = -15*a**3 - 11*a**2 + 11*a. Suppose 5*y - 7 = 8. Suppose 24 = i + y*i. Give i*t(r) + 11*l(r).\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 2*x**2. Suppose 3*i - 4*j = 4*i, -i + 2*j + 6 = 0. Suppose -i = 5*k - 7*k. Let g(h) = -h + k - h + 18*h. Give g(v(c)).\nAnswer: 32*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 421 (base 6) to base 10.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 35.522464 and 0.09.\nAnswer: 35.612464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand s**5 - s**5 - 3*s**5 + (6*s**2 - 25*s + 25*s)*(s**3 + 3*s**2 - 3*s**2).\nAnswer: 3*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -235*x**2 - 236*x**2 - 244*x**2 - 295*x**2 + 1014*x**2.\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -6\/11, 31692509, -1\/5 in ascending order.\nAnswer: -6\/11, -1\/5, 31692509","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -787 - 21*k - 22*k + 43*k - 3*k**2.\nAnswer: -3*k**2 - 787","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 52 (b) 3 (c) 0.2 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-132)\/110)\/(3\/10). Let z = 135\/7 - 19. Which is the third biggest value? (a) -5 (b) z (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/h**(-1\/3))*h**(-2))**0 assuming h is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/(-12) + (-142)\/(-4). Suppose -5*n - 5*c = y, -3*n + 7*n = 4*c - 4. Let d = 1 - n. What are the prime factors of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**3 - 2*u**3 + 4*u**3)*(2*u + 2 - 2).\nAnswer: 8*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -241*k + 3928 + 833 = 288*k for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*v**5\/7 + 584*v**4 - 5524*v**3\/7 - 2544*v**2 - 8208*v\/7 = 0. What is v?\nAnswer: -342, -1, -2\/3, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 0, -5, 5.\nAnswer: -6, -5, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/13, -2792, -2\/11, -2\/9, -0.4, -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gguj when four letters picked without replacement from jgjqupguupmp?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 31d + 5?\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44386 = -22*v + 778499 + 391957. What is the greatest common divisor of v and 145?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 u when two letters picked without replacement from nui.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 151*o**2*p + 499581*o**2 + 1219*o*p + o + 3*p - 2 with respect to p.\nAnswer: 151*o**2 + 1219*o + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.733 and -924.7?\nAnswer: -2527.2051","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*x - 10*x - 14*x + 5*x.\nAnswer: -19*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 + q**3 - 9)*(0 + 1 + 0)*(-11*q + q + q) - 3*q**4 + 4*q**4 + q**4.\nAnswer: -7*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*p + 141 - 35 - 71*p**2 - 36 - 40 - 32 as s*p**2 + n + l*p and give s.\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(7) + sqrt(7) + 0 - (2*sqrt(7) + -5) - (sqrt(7) - ((sqrt(343)*1)**2 + sqrt(343)) - (sqrt(7) - 1*sqrt(7)*-6)).\nAnswer: 13*sqrt(7) + 349","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*w + 3*w - 16 = -t, 0 = w + t - 6 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the first derivative of -9*a**4\/4 + 5*a**3\/3 + 5*a + 64. What is the derivative of p(j) wrt j?\nAnswer: -27*j**2 + 10*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 + 16. What is the tens digit of z*13 - (-6 - -1 - -6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3777, -1238, -9595, -21294, -36335, -54718, -76443?\n\"Answer: -1671*t**2 - 2*t + 5450","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3ea5e3 + -3?\nAnswer: 3ea5e0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3266802 divided by 49.\nAnswer: 466686\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 159958 is divided by 31158?\nAnswer: 4168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -31865, -31794, -31719, -31640, -31557, -31470?\n\"Answer: 2*z**2 + 65*z - 31932","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 25*z**5 + 36*z**4 - 25*z**2 + 25*z - 159?\nAnswer: 500*z**3 + 432*z**2 - 50","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/2, -32, 4, 3, -2106, -0.5, -3\/5?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 681555770?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b**2 + 0*b**2 + b**2 - 121*b**2 + 2005*b - 2005*b + (4 - b - 4)*(-6*b + 3*b + b) + 0*b**2 + b**2 + 0*b**2)*(-8*b**2 - 7*b**2 + 5*b**2).\nAnswer: 1160*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -3*i**4 - 1131*i**3 - 102348*i**2 - 2929920*i - 12230400 = 0?\nAnswer: -260, -56, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10956 and 664?\nAnswer: 21912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the first derivative of -t**8\/1680 + t**7\/210 - t**6\/120 + 13*t**3\/3 + 19. Let z(n) be the third derivative of k(n). Solve z(w) = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6047*s**3 - 1521*s**3 - 1509*s**3 - 1507*s**3 - 1506*s**3.\nAnswer: 4*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 + 3*n - 7. Let t be d(-6). Let a = t + -9. What is the third derivative of -5 + 0*z**a - 4*z**2 - 4*z**3 + 5 wrt z?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9526.\nAnswer: 2, 11, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the third derivative of -p**4\/8 - 35*p**3\/6 - 35*p**2. Let a be m(-13). Solve -2*k = 2*k + a*q - 4, 0 = -4*k - 5*q for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15444652*w**3 - 5*w**2 + 7682*w + 34?\nAnswer: -92667912","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.5223 - 55.5823. Let i = -0.94 + y. Let b = i + 57.33. What is b rounded to one dp?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 5, p: 2, v: 3}. What is prob of sequence pqqp?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of -2*a**6\/3 - 41*a**5\/15 - a**4\/3 + 127*a**2. Factor f(s).\nAnswer: -4*s*(s + 2)*(20*s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0*14\/(-238) + (-9)\/12. Which is the closest to 2\/3? (a) -0.4 (b) n (c) -378 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5.6 + 5.543. What is d rounded to two dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5250 and 2584575.\nAnswer: 25845750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3, -4, -90 in decreasing order.\nAnswer: 3, -3, -4, -90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 53561651 - -10?\nAnswer: 53561661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 364, 185614, 2 in ascending order.\nAnswer: 2, 364, 185614","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 8*k + 78 = -6*k, 3*y = k + 105. Calculate the remainder when 1611 is divided by y.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5)\/(1*(-3)\/(-45)). Let o = -64 - u. Differentiate -o - 5*l + 16 - 15 with respect to l.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes before 5:56 AM?\nAnswer: 7:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes after 7:36 AM?\nAnswer: 12:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18927\/434 + 24\/217. Find the common denominator of j and (92\/10 + 1)*1.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.79 * -0.817.\nAnswer: 0.64543","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k + 3. Let d be z(4). Let c be (d - 2) + -5 + 4. Is (4476\/c - 2)*1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2917 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25436 is divided by 217?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2744 and 70?\nAnswer: 13720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from guunxguxsg. Give prob of picking 1 n and 1 u.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -5 (b) -2 (c) 400 (d) 0 (e) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -7488 (base 12) in base 15?\nAnswer: -3bbb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 43 + -40. Suppose -11 - 1 = -3*x. Sort j, x, -0.8 in decreasing order.\nAnswer: x, j, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6695271 weeks to minutes.\nAnswer: 6748.833168","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 3*g - 1. Let n = 2 - -2. Let k = n + g. What is the closest to 0.1 in 0.2, k, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from ilialllllxlilayi.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 292 and 5276.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -7306254.69 rounded to the nearest 100000?\nAnswer: -7300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 101362 or 101365?\nAnswer: 101365","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 1\/3, -0.5, -376879?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 1)*(w**4 + 5 - 5) + 2*w**4 + 2*w**4 - 3*w**4.\nAnswer: 2*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2*-5*1\/10. Let m(i) = 7*i**2 + 1. What is m(f)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 614673.3 microseconds to seconds.\nAnswer: 0.6146733","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3435 - 1.\nAnswer: -3436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**5 - 3*z**5 + 3*z**5)*(29 + 41 - 18).\nAnswer: -104*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 673364411 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u\/(u**1*u)*u)\/u*u**(-3))\/(u*u\/u**(1\/3)*u*u*u**2*u*u*u))**(-3\/26) assuming u is positive.\nAnswer: u**(35\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*v + 184 = 976. What is the third smallest value in -4, 2, v?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -17, 8, 83, 232, 479, 848, 1363?\n\"Answer: 4*g**3 + g**2 - 6*g - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-372)\/(-9)*(23 - -1) - -8. Which is greater: 1 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -3*(-4 + -5 + sqrt(112)*-1 + 2 + -4).\nAnswer: 12*sqrt(7) + 38","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-171)\/(-55) - (-15)\/(-75). Let a = -71584 - -4724231\/66. Let y = x + a. Calculate the common denominator of y and -73\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 66*f - 5. Is j(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 112719*z - 225442. Calculate a(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - 6e60dd?\nAnswer: -6e60d9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 plus -2336?\nAnswer: -2324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.098, -2\/9, 0.5 in descending order.\nAnswer: 0.5, -0.098, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 2*b = -3, -n - 12*b = -15*b - 4. What is the tens digit of -2 + n + 86 + 0?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1))**45\/(d\/(d**(-2\/3)\/d*d))**(1\/7) assuming d is positive.\nAnswer: d**(-950\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-73)\/(-15) + 8\/60. Suppose -5 = -5*f, v - 3*v + d*f = -41. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-10)\/4)\/(29\/(-116)). Solve -4*w + k = -6 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (57 - 1)) + (-1041 - -1056).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -7*u - 3 - 7*u**2 + 2*u**3 + 2 + 8*u. Let l be d(6). Suppose l = z - 84. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8)\/52 - (-23139)\/(-11583). Are n and -3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 + 5 - 2 - (46 - 54)) + 34.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i + 11. Let l be h(9). Let d be (30\/9)\/(l\/(-3)). Let w(m) = -m**2 - 5*m + 1. Let g be w(d). Which is the biggest value? (a) -5 (b) 0.5 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 42292 - 42302.9999. Let g = -11 - s. Round g to 5 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20049*m + 400271 + 1001184 + 658230 = 515912 for m.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.05, -7, 0.2 in descending order.\nAnswer: 0.2, 0.05, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -4*m - 4. Let v(u) = -5 - 2*u - 2*u + 2*u - 3*u. What is 6*c(s) - 5*v(s)?\nAnswer: s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -8\/3968025 and 41\/9741.\nAnswer: 67456425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**3\/3 + 27200*x**2\/3 - 10849800*x - 349927236000.\nAnswer: 2*(x - 5660)*(x + 9630)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19 - 15. Suppose 7*h - 12*h + w*x = -516, h - 3*x - 112 = 0. Suppose 3*d - h = 515. What is the hundreds digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13943*c**3 + 182 - 30 - 13946*c**3 to l*c**3 + b*c**2 + i*c + t and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 461 - 429. Let u be (-34)\/66 + 1 - t\/48. What is the closest to 1 in -1, 1, u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28314*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 42059, 44721, 47383, 50045, 52707, 55369?\n\"Answer: 2662*g + 39397","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4331281 (base 11) in base 7?\nAnswer: 121504054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 504*f**2. Let b(h) = 9*h**2. Determine b(x(g)).\nAnswer: 2286144*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.92 + 7.92. Which is the closest to 1\/3? (a) 0.1 (b) -1\/3 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 158551954 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 41*q - 17*q - 1 + 1 in the form k*q + t and give k.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-175)\/(-70))\/((-259)\/(-252) - (-8)\/36). Solve 0 = -v - n, 4*l + 17 = -v + 7 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 446*(6\/8 - (-21)\/(-84)).\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 2804332?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 14*d - 27647*d**2 + 3*d**3 + 27647*d**2 to q + r*d + k*d**3 + w*d**2 and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o + 110 = 14*o. Let q(w) = 25*w**3 + 3*w**2 + 2*w - 5. Let n(u) = 13*u**3 + u**2 + u - 2. Let l(r) = o*n(r) - 2*q(r). Give l(1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*n**4 + 4*n - 4*n + (9*n**2 + 14*n**2 - 7*n**2)*(-n**2 - n**2 + n**2).\nAnswer: -12*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 52 and 260?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and 795182.2.\nAnswer: 2385546.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -286, 1415, 4 in descending order.\nAnswer: 1415, 4, -286","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(104)*4 - sqrt(104))\/(sqrt(8) - 4*-2*sqrt(8)))**2.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**20*(p**(-9)\/p)\/p assuming p is positive.\nAnswer: p**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwo when three letters picked without replacement from pyrwoyzowppzzwpoo.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 874496 divided by 1792.\nAnswer: 488","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-4)\/22 - 28\/154.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 506 = 4*d - 38. Let q = -92 + d. Suppose 4*z - q - 4 = 0. What is the greatest common factor of 12 and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and 25.1.\nAnswer: -125.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8725\/39141 - 3\/4349. Which is the closest to -1? (a) s (b) 1\/30 (c) -2\/9 (d) -7\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, c: 3, s: 4, v: 1, m: 1, f: 1}. Give prob of picking 1 v and 1 f.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/(-3) - 3248\/(-12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15106200 times 11?\nAnswer: -166168200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*s + 2*s - 4*s + (-307*s - 81*s - 53*s)*(-6 + 2 + 0) in the form g*s + f and give g.\nAnswer: 1765","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, w: 3, g: 10, z: 2}. Give prob of picking 2 g.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.04785 + 0.25215. Which is the biggest value? (a) 1 (b) 4 (c) t (d) -3\/4 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 181089000 to the nearest one million.\nAnswer: 181000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7.27 + 7.37. What is the closest to w in -1.01, 0, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*y + 2*y**2 + 0*y**2 + 4*y + (-4*y - y - 8*y)*(-3 + 3 - 13*y).\nAnswer: 171*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1608165?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 11. Let x(c) = -11. Let n(u) = 5*x(u) + 6*y(u). Let i(s) = s - 22. Let m(f) = -3*i(f) - 7*n(f). What is the first derivative of m(w) wrt w?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**4 + 4*o**2 - 4*o**2)*(1 - 2 - 8) - 3*o**4 + 2*o**4 + 3*o**4.\nAnswer: -16*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 59494599 to the nearest integer?\nAnswer: 390","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-9.266607.\nAnswer: 18.533214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*z + 15*z + 8*z**2 - 28*z.\nAnswer: 8*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*k = 32*k + 33*k - 651. Suppose 0*v = v - 4. Let u(y) = 2*y**2 - 13*y + 17. Let h be u(5). Solve -v*g + 17 = -b, -h = g - k for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 36511 and 36443 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -56 (b) 2\/7 (c) 2\/11 (d) -4 (e) 0.06\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 386 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-33)\/g)\/(g*(g*(g\/(g\/g**16*g))\/g*g*g*g)\/g) assuming g is positive.\nAnswer: g**(-51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 4 = -31*t + 27*t, 3*t + 3 = -q for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 70 divided by 35?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4*-1 + 20\/2. Let l(u) = -28*u**3 + 7*u**2 + 13. Let g(z) = -14*z**3 + 4*z**2 + 6. Let j(m) = x*l(m) - 13*g(m). Find the third derivative of j(d) wrt d.\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 98 + -97. Let g = 4554 + -1243240\/273. Is c less than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1.3 (b) -6 (c) 5 (d) -2 (e) 0.1 (f) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24052589, -48105179, -72157769, -96210359, -120262949?\nAnswer: -144315539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -134096, -1\/6, 5?\nAnswer: -134096","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 177397486 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyyyyzzy. Give prob of sequence yz.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5 and 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*28\/((-8)\/2). What is the derivative of -8 - g - x + 7 wrt x?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1875*r + 1877*r - 68 - 3762*r as k*r + v and give v.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**2 - 11*w + 34. Let p be t(7). Suppose 0 = 3*m + 15, -4*y + p*y - m - 5 = 0. Solve v = 3*q + 9, 5*q + 11 = -y*v + 3*v for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-3*sqrt(10))\/sqrt(5).\nAnswer: -6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmhhjhmmnmh. What is prob of picking 3 h and 1 j?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k = -z + 2*k + 13, 5*z + k = 8. Let w be (z - 3) + 39\/3. Calculate the highest common factor of w and 121.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2608 is divided by 64?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -1 - 7*j**2 + 105620*j + 6 + j**3 - 105614*j. Suppose 0 = x - 5 - 1. Let c be z(x). Sort c, 8, -3 in ascending order.\nAnswer: -3, c, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22 - 9. Suppose -4*j - l = 5*x, x - 4 = -0*x - 3*j. Let y = 9 + x. Solve y = -5*b + 7*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.098 (b) -4\/17 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -3769*k**2 + 5*k. Let i(m) = 11408760*m**2 - 15136*m. Calculate -5*i(j) - 15136*s(j).\nAnswer: 3784*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1652808?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -37454\/3 + 12485. What is the nearest to -12 in 1\/2, x, -0.07, 3\/8?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1399*h**2 - 2196*h**2 + 1141*h**2 + (-2*h - 2*h**2 + 2*h)*(1 + 0 - 3) + 2*h**2 - 11*h + 11*h to k + o*h + p*h**2 and give p.\nAnswer: -2448","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18 + 17. Let s = 56.13 - 55.93. What is the second biggest value in d, s, 2\/9, -1\/6?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 10 = q. Calculate the common denominator of 368\/q*(-4)\/16 and 1\/7.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}