diff --git "a/data/dm_maths/full_data_2/5775_11255.jsonl" "b/data/dm_maths/full_data_2/5775_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/5775_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let v = -2 - -1.9. Suppose -975 + 1027 = 4*b. Suppose 4*n + b = -2*i - 3, -3*i + 3 = -3*n. Sort n, 3\/2, v.\nAnswer: n, v, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:39 AM and 8:07 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 2*q**3 - 40*q**2 - 3*q + 58. Suppose -60 = -4*g + 4*m, -233*g + 230*g = -6*m - 30. Give z(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * -43224\nAnswer: -8644.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (22 - -5)\/3 + -4. Suppose 5*w - 5 = 19*b - 14*b, s*w + 3*b = 21. What is the remainder when w is divided by 6\/9 - 14\/(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10.32 + 9.32. Which is the smallest value? (a) 118 (b) -5 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*l - 13 + 4*l + 1586*l**2 - 1600*l**2 to x + m*l + d*l**2 and give d.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25620507 + 15135*r**2 + 25620507 to the form q*r**2 + o*r + x and give q.\nAnswer: 15135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17 + -2. Calculate the greatest common factor of j and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2642187 is divided by 1320266.\nAnswer: 1655","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 259 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19\/(171\/(-84))*(-18)\/12?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the third derivative of n**4\/24 - 4*n**3 - 9*n**2. Let b be l(-17). Let i = 41 + b. Solve i = 2*t - 6*t - 2*f - 20, 10 = -2*t + 3*f for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 25 = x, 3*x - 7 = -h + 3 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10411745 or -10411747?\nAnswer: -10411747","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let x = -155.9 - -156. What is the closest to x in 0.5, -1\/161, -2\/13, 2?\nAnswer: -1\/161","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5340\/28 + 3\/(-7). Let h = -190 + w. Put 0.02, -5, 5, h in descending order.\nAnswer: 5, h, 0.02, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 421, -1, 1, -4 in ascending order.\nAnswer: -4, -1, 1, 421","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1314628842?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange w + 0*w + w + (-w + w + w)*(0 + 1 + 1) + w + w - 3*w - 22*w + 15 - 15 + (-4 + 0 - 1)*(2*w + 7*w - 4*w) to the form d*w + l and give d.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (994\/(-3))\/(14560\/(-3120))?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 + (-3 - (-3 - 4192)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 784488 is divided by 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3582 + 8277 - n**2 - 4154.\nAnswer: -n**2 + 541","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1931612407 to the power of 1\/5, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -9998900 to the nearest 1000000.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29 + 3229*p**3 + 29 - 614*p**3 - 58.\nAnswer: 2615*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 998613 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Do -2171\/15 and -146 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5393568 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1487, -2977, -4467?\nAnswer: -5957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -3*s - 4. Let o be a(-6). Let y(l) = 14*l**2 - l. Let r be y(-1). Suppose -5*b + 10 = -r. Solve 4 = -3*k - 3*h - o, 3*h = -b*k - 24 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 + 35*k**2 - 267*k + 1350. Determine c(27).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*z - 3083 = -3307 for z.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -3*v + 3*n + 20, v + 5*n = -10. Suppose 2*q + 2*c = 22, -q - 4*c + 0*c = -23. What is the remainder when 4*(-1)\/((-2)\/v) is divided by q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 - 3*g**2 + g - 3. Let d be y(3). Let w be -2 - (-2 - d) - -33. What is the greatest common factor of 3 and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -126828, -253654, -380480?\nAnswer: -507306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5371030954 to the power of 1\/8, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 - 66\/(-3)) + -1 + 5. Let r(y) = 20*y**2 - 13*y - 13. Let x(g) = -5*g**2 + 3*g + 3. Let m(s) = u*x(s) + 6*r(s). Let f(o) = -4*o**2. What is f(m(w))?\nAnswer: -400*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the third derivative of -g**7\/7 - 13*g**3\/3 + g**2. Differentiate f(x) wrt x.\nAnswer: -120*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*s**3 + 14*s**3 - 13*s**3 + (0*s**2 - 2*s**2 + 0*s**2)*(-2 + 2 + s).\nAnswer: -12*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 137, 111, 47, -73, -267, -553, -949?\n\"Answer: -3*g**3 - g**2 - 2*g + 143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1266*m + 182928 - 44934 = 0 for m.\nAnswer: -109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 51248848 by -6406106.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 1) + 3 + 1 + -6\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express v**2 + 56 + 9*v**2 + 2*v**4 - 57 + 2*v as g*v**3 + t*v**2 + m*v**4 + h + c*v and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(2\/7)*(p\/p**(-4\/5)*p*p)\/p)\/(p*(p*p*p\/(p*p\/(p*p\/(p\/p**(-4\/5)))))\/p*p)**(-26))**(-15\/7) assuming p is positive.\nAnswer: p**(-6330\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of 0*a + 1\/12*a**6 + 0*a**4 + 7\/20*a**5 + 0 - 9*a**2 + 0*a**3. Find the third derivative of g(q) wrt q.\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the second derivative of -w**4\/6 - w**3\/6 - w. Let n be p(1). Which is the nearest to 2\/5? (a) 0.3 (b) n (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -254573 > -254554?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let u = -84 + 100. Suppose 3957 = u*p + 693. What is the hundreds digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 821605578*l**2 - 858271627*l?\nAnswer: 1643211156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 148*x**2*z**3 - 3*x**2*z - 13*x*z**2 + 2*z**3 wrt x?\nAnswer: 296*z**3 - 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12066636?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 16519193.87 to the nearest one million.\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 138*j + 18*j = 103896. Is j even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*p + 972 = 70*p. Let g(l) = l**2 - 154*l + 3 + 5 - 3 + p*l. Determine g(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6755 - -13035. List the prime factors of v.\nAnswer: 2, 5, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 12\/10*(-3 + (-99)\/(-27)). Which is the nearest to 13? (a) -2\/15 (b) k (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -744*s + 191345 = -139*s + 2367*s + 933*s for s.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 139 + 0 + (-7 - 32\/(-4)). Let z = -111 + p. Let q = 188 + -103. Calculate the remainder when q is divided by z.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 4*s**5 - 4580*s**4 + 160840*s**3 - 1265960*s**2 - 3032780*s - 1601396 = 0.\nAnswer: -1, 19, 1109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes before 2:51 PM?\nAnswer: 9:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -506338045 times -4?\nAnswer: 2025352180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1755 and 692705.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1255332 (base 6) to base 5.\nAnswer: -4214041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((8\/2)\/(-88))\/(1\/(-2))*(-1282)\/3846?\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2129?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 642 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -42.078 rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 (base 16) in base 9?\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 603.1859 millilitres?\nAnswer: 0.6031859","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24488 by 6122.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 13*d**2 - 4*d + 536. Let x(k) = -4*k**2 + k - 179. Let s(t) = -4*w(t) - 14*x(t). List the prime factors of s(0).\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, -9, -27, -67, -135, -237, -379, -567?\nAnswer: -807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-5)*70\/42\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.6 + -0.4. Let h = 11 - 32. Let v = h + 21.2. Sort m, v, 5 in increasing order.\nAnswer: m, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p\/(p**20\/p))\/p*p)\/(p\/(p*p**19*p*p)))\/(p\/p**(-1\/12))**(-46))**12 assuming p is positive.\nAnswer: p**634","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.687 - -50145?\nAnswer: 50149.687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/16)\/(7\/(-168)*-3)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(4\/3))**(-4\/21)*(z**(1\/5))**(11\/3))**(-3\/10) assuming z is positive.\nAnswer: z**(-151\/1050)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -8*v. Let s(u) = 7*u + 5. Let t(y) = -7*y - 4. Let w(o) = -4*s(o) - 5*t(o). Give w(z(q)).\nAnswer: -56*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-106470)\/78260 + 6\/(-43).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m + m + 5, -25 = 4*x - 3*m. Let s(i) = -i**2 - 9*i - 4. Give s(x).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -82 (base 12) to base 7\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/6, 0, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 156608 to the power of 1\/2, to the nearest integer?\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*s**2 + 148*s**2 - 70*s**2.\nAnswer: 27*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 63 + -253\/4. Let v(o) be the first derivative of -o**2\/2 - 1. Let l be v(-1). Which is greater: l or f?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 350 minutes before 7:05 PM?\nAnswer: 1:15 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Is -0.074 > 1.32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 428654 is divided by 35718.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -113 divided by -1829738?\nAnswer: 113\/1829738","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.8 or -2201.4?\nAnswer: -2201.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10763963.\nAnswer: 7, 1537709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -30, 0.8, -2\/7, -0.4, -1\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -5*v**3 - 3*v**2 + 9*v. Is p(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13.2 - 1.2. Let p = q + -8. Which is the nearest to 0? (a) 0.2 (b) p (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19433 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*t - 130 + 70 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*o + 2*o + 2 - 4 + (1 - 1 + 1)*(-2 - 2*o + 2) - 2*o + 2*o - o.\nAnswer: 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/2)\/(d**(-2)*d))**(1\/30)\/(d**(-3\/2)\/d*d*((d\/(d\/(d*d**(-5)*d)))\/d)\/d)**(5\/3) assuming d is positive.\nAnswer: d**(217\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**2 + 19*m + 12. What is u(19)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are 27\/18599420 and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2017 - 503. What are the prime factors of y?\nAnswer: 2, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 7*x + 6. Let c = x - 3. Let s = c - -3. 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 hundred thousands digit of 4484098199?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-30)\/(-9)*(-5 + 8). What is the tens digit of (-160)\/12*(-12)\/u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*b - 23*b = -4*b - 5*w - 135, -36*w = 2*b + 68 for b.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 92773964 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 + 25*x**2 + 20*x - 1577. What is j(-20)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 PM and 11:20 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*a**4 - 80*a**2 + 5*a**5 + 0*a**5 - 20*a**3 + 3859 + 10*a**4 - 3859.\nAnswer: 5*a**2*(a - 2)*(a + 2)*(a + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**2 + 5*h + 1. Let w be j(-4). Let y be -4 + (2\/20)\/(84\/3045). Let r = 2 - 5. What is the nearest to r in 0.4, w, y?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3658 and 124?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 - 9*z**2 + 12*z - 36. Let w be b(8). Sort 1, 5, w in decreasing order.\nAnswer: 5, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 7\/5 - 140\/(-350)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -331f99 (base 16) to base 2\nAnswer: -1100110001111110011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2022)\/(-9)*(-12)\/8. Let x = -109 - d. What are the prime factors of x?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 69363 or 138727\/2?\nAnswer: 69363","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -8368 (b) -0.05 (c) -5 (d) -1\/12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3071658 and 236?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/((-45)\/20))\/(-14)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16 - 23. Let y(c) = -2*c - 7. Determine y(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*a + 17*a + 1 = 0. What is the nearest to -0.2 in 0.5, a, -4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 6) in base 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 249477\/220 + -1134. Is b less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -64 by -10.\nAnswer: 32\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4*3\/(-27)*(-126)\/(-28). Find the third derivative of -25*d**2 - z*d**5 - 117*d**6 + 8*d**2 + d**4 + 2*d**5 wrt d.\nAnswer: -14040*d**3 + 24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.36 and 13298.8724205.\nAnswer: 13299.2324205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 422, 309, 2, -595, -1578, -3043, -5086?\nAnswer: -7803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -304234 (base 6) to base 12.\nAnswer: -1207a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -131 + 130.8. Suppose -3*t = -4*r - 31, 8 = 2*t - 2. Let n be 1\/3 - 2\/2. Put u, n, r in ascending order.\nAnswer: r, n, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k**2 - 54826*k + 182720 = 0. Calculate k.\nAnswer: 10\/3, 18272","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5968 is divided by 2958.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + -2. Suppose g*u = -3*u + 5. Let n(p) = -p**2 - 27*p - 164. Let j be n(-18). Sort j, 2, u in ascending order.\nAnswer: j, u, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17\/(-85))\/((-3)\/(-5)*-1).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 e when two letters picked without replacement from egvgp?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3244 is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 1)*(1 - 1 + 2*b).\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 1:59 AM?\nAnswer: 12:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 33047971*i*w - 16247495*i wrt w?\nAnswer: 33047971*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -53 + g**2 + 49 + 3*g + 125. Let f be s(0). Suppose k - f = -2*j, k + 125 = 2*j + 6*k. List the prime factors of j.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of w**4\/12 + w**3\/6 - w**2 + 4*w. Let x be q(-4). What is the units digit of (0 - 12)*(-5)\/x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the first derivative of 4*k**3\/3 - 1. Let i(o) = -8*o**2. What is w(i(l))?\nAnswer: 256*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/1165883 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6253*t = 3133*t + 3116*t + g + 25, 2*g = -2*t + 30 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -10*m**3\/9 + 717546*m**2 + 3444232*m\/3 - 5166344\/9 = 0.\nAnswer: -2, 2\/5, 645793","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1134.5 + 6623.\nAnswer: 7757.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2502\/(-495) + 5)\/(626\/3443)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12*n**5 + 10406*n**2 + 2*n - 3884 wrt n.\nAnswer: 240*n**3 + 20812","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1135, -1160, -1187, -1216?\n\"Answer: -i**2 - 22*i - 1112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 110, 1, -1, -36, -16, -4, 2 in descending order.\nAnswer: 110, 2, 1, -1, -4, -16, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqfqfqqqfqqqqff. What is prob of sequence qfq?\nAnswer: 55\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.35 to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2519995002 is divided by 10763.\nAnswer: 10760","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 268.3556 nanometers in centimeters?\nAnswer: 0.00002683556","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5495?\nAnswer: 5, 7, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15708 and 495516?\nAnswer: 5450676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -4*h - 760, 8*t - 3819 = 3*t + h. Is 12 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jcj when three letters picked without replacement from {c: 9, j: 2}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.09 + 0.39. Let r = 0.05 - 8.05. Sort w, r, -5 in ascending order.\nAnswer: r, -5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11*g**2 + 3*g**2 - 9*g**2)*(-4*g + 4*g + 3*g) to the form p*g**2 + j*g**3 + x + d*g and give j.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -3*k + 19. Let t be r(-19). Suppose a = t - 10. List the prime factors of a.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -567 + 280 + 2*a**4 + 284 - 9*a**2 + 0*a**3 - 2*a**3 in the form z*a**4 + b*a**3 + g*a**2 + i*a + x and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 550338 = -15*h + 2690193. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8640 and 72960.\nAnswer: 656640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -395898.97 rounded to the nearest 100?\nAnswer: -395900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -26 - -32. Let o be (-416)\/(-80) + (i\/(-5) - -1). Solve 32 = 4*r - 3*d, 0*d = -2*r + o*d + 30 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l. Suppose 4*w - 2 + 6 = 0. Let p(h) = -h**2 + 5*h - 4. Let b be p(5). Let f(g) = -3*g + 2. Calculate b*m(t) + w*f(t).\nAnswer: -t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 273647748 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*v - 6*v - v.\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x - 12 = -30. Let j be 1\/((-12)\/14 + 1). Suppose -5*u - x*i = -2*u + j, -4*i + 41 = -5*u. Is u > -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -311 = -2*p - 5*f - 341, -13 = p + 2*f for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15100428 is divided by 355.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -4*j**3 - 2*j**2 - 5*j + 3. Let g be x(-2). Suppose -152 = -g*i - i. Let s(n) = n**2 + 2*n - 3. Let b be s(-3). Solve i*y = -b*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 - 6*u**2 - 5*u - 10. Let d be v(7). Suppose 5*c = 3*r + 103, -2*c - 2*c - d*r = -76. Let m = c + -10. List the prime factors of m.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100111000 + 1101?\nAnswer: 1101000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 2*j - 9. Suppose 7*h = 35 - 7. Let w be l(h). Let s = 0.2 + -0.4. What is the second smallest value in 2\/17, w, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/27)*u*u*u\/(u\/(u**(-9)\/u)))**17 assuming u is positive.\nAnswer: u**(-3706\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r + 10 = 15*r. Let d be (5 - r)*(-7)\/(-21). Suppose -4*a + 15 = -d. Sort a, -3\/7, 0 in descending order.\nAnswer: a, 0, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89*b + 107*b - 182*b.\nAnswer: 14*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -2*x + 8. Let q = 46 - 39. Let n(i) = q - 1 - 5. What is 6*n(r) - z(r)?\nAnswer: 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 255 is divided by 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 5336.911um?\nAnswer: 0.005336911","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1252968, -1253121, -1253274, -1253427?\nAnswer: -1253580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (((-192)\/20)\/(-8))\/16. Let j(i) be the second derivative of -g*i**5 + 1\/2*i**2 + 0 + 1\/4*i**3 - 7*i - 1\/24*i**4 - 1\/60*i**6. What is z in j(z) = 0?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*w - 5*n + 24, -4 = 8*w + 2*n + 60 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -10 - -8 - (-362 - -2). Let b = g - 116. Calculate the highest common factor of b and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 + 2*q - 8. Let s be o(-5). Let c(h) = 5*h - 2*h + 2*h - s*h. Let n(w) = 13*w. Give n(c(v)).\nAnswer: -26*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4\/407 or -1?\nAnswer: 4\/407","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 1501\nAnswer: -2\/1501","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5*j - 8 + 5)*(4*j - 3*j + 0*j)*(-5*j + 6*j - 2*j) - 14*j + 10*j - j**3 - 2*j**3.\nAnswer: 2*j**3 - j**2 - 4*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the second derivative of f**4\/12 - 5*f**3\/6 - 17*f**2\/2 + 32*f. Let d be r(7). Which is the closest to 2\/3? (a) 0 (b) -5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 + ((-6)\/(-5))\/((-54)\/180)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 93 divided by -4689?\nAnswer: -31\/1563","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 - 165*c**2 + 116*c - 8431. What is z(-166)?\nAnswer: -131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*a - 56*a**2 - 24*a**2 + 16 - 3*a.\nAnswer: -80*a**2 - 3*a + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1389, -1534, -1679, -1824, -1969, -2114?\nAnswer: -2259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38672 = 5*r + 4*n, 19040 = 3*r - 2*n - 4128. Is r a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 8*w**2 - 8*w - 7. Let m(k) = -8*k**2 + 8*k + 7. Let x(y) = -6*b(y) - 5*m(y). Suppose -4*l - 31 = -7. Let z(o) = -o**2 + o + 1. Give l*z(s) + x(s).\nAnswer: -2*s**2 + 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 354 and 87840498.\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14645 is divided by 7254.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -48 + 48 - 68*n**2 + (-2 - 2 + 3)*(n**2 + 2*n**2 - n**2) - 5*n**2 + 2*n**2 + n**2.\nAnswer: -72*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 49\/2*18\/(-9). Let q = j + 69. Is 20 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16424033 (base 8) to base 7\nAnswer: -44252552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 6*t. Suppose q + q - 28 = t. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 + 6 = u. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 + 18*y**2 - 18*y + 22. Calculate the smallest common multiple of 8 and p(17).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 26 and -6069845320039.\nAnswer: -6069845320013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 6228*v - 17794*v + 8126*v in the form i*v + r and give i.\nAnswer: -3440","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2507709*p**3 + 5015645*p**3 - 2507932*p**3.\nAnswer: 4*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 AM and 11:29 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -26, -5, -22, 3, 5 in ascending order.\nAnswer: -26, -22, -9, -5, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, o: 3, v: 2, k: 1, f: 4}. Give prob of sequence vckk.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -301*f + 10884. Let y be b(36). What is the highest common divisor of 6924 and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -21.3443 in -0.4, 0.4, 1, -2\/9, -3, -2\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -2*u - 2. Let x be (-4)\/12*-33 - (-3)\/(-1). Let b(c) = -c + 11. Let h be b(x). Calculate r(h).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1808, 1794, 1864, 2024, 2280, 2638, 3104, 3684?\nAnswer: 4384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11528 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.29 + 0.19. What is the third smallest value in r, 0, 0.3, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3067399 and 2785?\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -110730*t**3 + 2*t**2 - 79848*t wrt t?\nAnswer: -664380*t + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1988350*u**6 - u**5 - 19947673*u**2.\nAnswer: -238602000*u**3 - 60*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/(-2))\/((-5)\/25). Suppose 10 = w*l - 0. Suppose l*h = -h + 18. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (49\/7 - -5)\/(8\/228044). Suppose 8*d - t = 1021934. Round d to the nearest 10000.\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 - 2 - 6 - 11*y - 2. Let l be i(-7). Suppose -2*d + 6 - l = -m, 3*m = 5*d + 34. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 m when two letters picked without replacement from {q: 1, w: 1, i: 1, m: 1, y: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -3221 less than 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l - 10. Let t be r(10). Is 5 a factor of (t + (-1)\/(-1))*10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1437?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 3910?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1130)\/(-113)*(-5)\/75*(-9)\/(-16).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.44355291 to four decimal places.\nAnswer: 0.4436","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*k + 20*k + 18*k)*((-1 + 3 - 4)*(-2 - 1 + 2) + (-2 + 2 - 1)*(0 - 4 + 5)).\nAnswer: 22*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the second derivative of 3*w**5\/10 - w**4\/12 + w**2\/2 - 3*w. Suppose -2*a = -a + 4*p + 1, 0 = -5*p. Give y(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -5 (b) 2\/21 (c) -0.2 (d) 2\/177 (e) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/(-6))\/((-95221)\/4325754).\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i = -2 - 10. Let g(h) = 12*h**2 + 2*h + 1. Let o(q) = -q**3 + q - 1. Let z be o(0). What is the smallest common multiple of i and g(z)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -48*f**5 + 68*f**4 + 964*f**3 - 420*f**2 - 484*f - 80 = 0. Calculate f.\nAnswer: -4, -1\/3, -1\/4, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -158*d - 352*d - 4921 = 298*d - 105*d for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 7) + 5 - 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (5\/30*(1 - 3))\/(-1 + 2). What is the closest to r in 5\/17, 1, 0.5, -2?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -4*p**3 - p**2 + 3*p + 4. Let k be r(-1). Solve 0 = 4*m + 16, -k*m + 4 = -3*b - 2*m for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2 + o - 1. Let f(r) = 14*r**2 - 8*r - 16. Let y = -75 - -78. Let j(h) = y*w(h) + f(h). What is the tens digit of j(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1351?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/((-11)\/5 + 2). Let n(o) = -o**2 + 4*o + 2. Let r be n(5). Suppose -3*y - 5 = 1. Sort r, q, y in descending order.\nAnswer: y, r, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 17\/2 of a centimeter?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 40 and 20087976?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 87, -1, -2, -65, 17 in ascending order.\nAnswer: -65, -13, -2, -1, 17, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tzgrrgr. Give prob of picking 3 r and 1 z.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*u**2 + 5012 - 2633 - 2379.\nAnswer: 14*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -4 + 3*t - t**2 + 5 + 3. Let s be o(3). Suppose 0 = -2*q - s*m + 22, 1 = m + 3. What are the prime factors of q?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r - 48 + 12 = 0. Sort -3, r, 3 in decreasing order.\nAnswer: r, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5.5318 + -0.0258. Let z = -0.506 + w. Sort z, -0.13, 0.07 in decreasing order.\nAnswer: z, 0.07, -0.13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31614.3 micrometers in millimeters?\nAnswer: 31.6143","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -578 + 608. What is the greatest common divisor of 570 and r?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -223 (b) -5 (c) 1 (d) -2 (e) 2\/19 (f) 0.283\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y + 302550 = -2*y. Let q = 3751717\/62 - y. What is the common denominator of 35\/6 and q?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 + 0 + 0 + (-152 - (-242 + 98))?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 14*m**3 - m**2 + 9*m - 63. Let c be a(6). Round c to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*o - 0*o + 2*k, 2*k = 2*o - 16. Suppose o*q - 55 = 25. Find the common denominator of -133\/12 and ((-56)\/q)\/((-16)\/(-35)).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-360)\/27)\/(154\/231)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(931) + 0) + 5 + -4*(2 + sqrt(931)) + 1)*-6 + 2)**2.\nAnswer: 1176*sqrt(19) + 33712","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12452?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -71\/15 (b) -4 (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 7666*-0.5\nAnswer: -3833","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/24 + (-156)\/(-32). Suppose 4*c - 16 = 0, 7 + g = 4*u - 2*c. Solve -3*o - 3 = u*z, 4 = 2*o - z + 6 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-222083032)\/32 + 2\/(-8). Let y = 3040095 + d. Round y to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lu when two letters picked without replacement from ual.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7148 - -7153. Solve -m = -90*k + 92*k - 11, -4*k = w*m - 37 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 824.4 - 830. Sort 2, -1\/3, -2, r in descending order.\nAnswer: 2, -1\/3, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 650 and 577395.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -27.87 + 28. Let g = -0.082 + u. Round g to 2 dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 551*z - 544*z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -121 * 0.22912.\nAnswer: -27.72352","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/5, -16, 0.11, -1, 11, -0.5, 2\/13?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 627 and 114.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1477155 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 3 h when four letters picked without replacement from hhhhohhhohhhhhoohho?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -2*y**2 - 3983 - 9*y**2 + y**3 + 6*y + 3990 + 3*y**2. What is d(5)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w - w + 5*w)*(w**2 + 1 - 1)*(2*w + w - 4*w).\nAnswer: -6*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/425376 and -47\/30240?\nAnswer: 6380640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2a - 139?\nAnswer: -167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*l - 4*l + 499 - 500.\nAnswer: 21*l - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes after 7:24 PM?\nAnswer: 7:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3140231341 (base 5) in base 8?\nAnswer: -31041536","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + -19. Let z = -16 - s. Suppose -196 = -z*u + 2*u. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - (3 + -6)) + 2 - -1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -8*v**3 + v**2 - v. What is d(1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vzxhhhph. Give prob of picking 1 h, 1 v, and 1 p.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -33*y + 3. Suppose -f + 4*t = -8 - 16, -4*f = -5*t - 41. Suppose 27 = -f*n + 15. List the prime factors of p(n).\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-24)\/(-10) + 2\/(-5) - 6. Let g be ((-3)\/(-15)*b)\/(6\/10). What is the second biggest value in g, 1\/8, 1?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(2\/7)*b)\/b)**(-44)*(((b*(b**(-1)\/b)\/b)\/b)\/b*b)\/((b*b*b**(-2\/23))\/b) assuming b is positive.\nAnswer: b**(-2654\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 412, 823, 1234?\n\"Answer: 411*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 7*u - 210. Let o be j(30). Let v(q) = q**3 - 2*q**2 - 4*q + 294. Calculate the smallest common multiple of v(o) and 9.\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 2 b when four letters picked without replacement from jjjbbjjj?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1*172\/(-6))\/(12\/18). Let g = 50 + a. Is 2 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 8 = -4*f. Suppose -f*u + 4 + 6 = -2*w, 5*w + u + 14 = 0. Is (-13)\/(-1)*(w - -4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, h: 2}. What is prob of sequence hh?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2814919 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.08 * -54.\nAnswer: -4.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m - 2 + 2)*(2*m**2 + m**2 - 2*m**2) + (-2272*m**3 - 15*m + 2269*m**3 - 14*m**2 + 0*m)*(2 - 4 - 1).\nAnswer: 11*m**3 + 42*m**2 + 45*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 - 103*i**2 - 63*i - 5312. Calculate q(-103).\nAnswer: 1177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 104 + -61. Let c = o - 43.035. Let g = -0.365 + c. Sort 0.5, 1, g, 0 in decreasing order.\nAnswer: 1, 0.5, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1)\/1)\/((-3)\/66). Let x = -11 + o. Suppose z - 20 = -0*z. Calculate the remainder when z is divided by x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*v + 2 = 4*p + 7*v, 2*p + 3*v = -26 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2315472 (base 8) to base 3\nAnswer: 1011222121010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 3.583455 millennia?\nAnswer: 35.83455","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 2*b**2\/5 - 536468*b\/5 + 35974739378\/5 = 0.\nAnswer: 134117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -11, 46, 201, 502, 997, 1734, 2761?\n\"Answer: 8*d**3 + d**2 - 2*d - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 4*q**2 + 10*q + 6. Let v(o) = 148*o**2 - 5*o - 4. Calculate the remainder when v(-1) is divided by d(-4).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.3 - 0. Let g = -2.7 - k. Let d be (-117)\/(-15) + (-56)\/7. Which is the third smallest value? (a) d (b) g (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*z**4 + z**4 + 6*z**4 + (-2 - 2*z + 2)*(-2*z**3 + z**3 - z**3) + 1 - 1 + 2*z**4 + (0 - z**2 + 0)*(z**2 + 3*z - 3*z) + 2*z**4 - 2*z**4 + 2*z**4.\nAnswer: 10*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 5 + 13. Suppose -h + 1 = -u. Solve 5*r - 20 + u = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 4*a + 14 + 33 = -21, 0 = 4*a - 56 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/7889850 and -41\/2103960.\nAnswer: 31559400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -34, -521, -11, 3 in decreasing order.\nAnswer: 3, 1, -11, -34, -521","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.78 - 0.78. Which is the biggest value? (a) s (b) -2\/7 (c) -6 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - 10) + 41 + -14. Suppose 936 = 7*i + 6*i. Calculate the greatest common factor of l and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of b*r*z**2 - 8*b*z**3 - 7*b*z**2 + 3*b*z + 10*b - 38*r*z**5 wrt z.\nAnswer: -48*b - 2280*r*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 30477*q + 7 = -30476*q, -4*q + 28 = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(80) - -2*sqrt(80)) + (sqrt(80) - (sqrt(80) + (0 + sqrt(80))*-4))**2.\nAnswer: -24*sqrt(5) + 1280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4, e: 6}. Give prob of picking 1 p and 2 e.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -2*q - 60. Let c be a(0). Let t = 104 + c. Which is smaller: t or 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 + 38*g**2 + 34*g - 102. What is m(-37)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -445 - -444.425. Let k = q + 0.075. What is the third biggest value in -0.08, -4\/3, k?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2219404 a multiple of 443?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (-5 - 1) + 0 + 3 + 1000 + -1013\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mtt when three letters picked without replacement from trtimrmrxr?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14926759 is divided by 17?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3\/9)\/((-4)\/24) + 6. Solve 0 = a - 2*a + n for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 18ac + -1?\nAnswer: 18ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 + 6*f**2 - 6*f + 6. Let p be z(5). Let x = 5 - p. Solve x*n = -0*n - 20 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.43691 * -0.4.\nAnswer: 0.174764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1240*l**2 - 1802260 + 1802260 - 1089*l**4 wrt l?\nAnswer: -26136*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from apgprpppappprppepp. Give prob of picking 1 r and 2 e.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 5*y + 90 = 0, 0 = 29*w - 33*w - 4*y + 112. What is the remainder when 1747 is divided by w?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5469 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 4986 = 3*q, -t - 20 + 17 = 0. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.75 - -0.0631.\nAnswer: 0.8131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -202330123 (base 4) in base 6?\nAnswer: -3022351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 446168 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) + 1 - sqrt(3)) + -1 + 5)**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7153)\/3110 - (-3)\/2)*(-55)\/(-2).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 750, 736, 724, 714, 706?\nAnswer: 700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1391054?\nAnswer: 2, 7, 67, 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.4625 - 62.4425. Let u = 4.02 - t. Which is smaller: 1 or u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a microsecond in nanoseconds?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/((-4)\/2) - (-177)\/118?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 112991851.\nAnswer: 7, 16141693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = 2*c + 20. Suppose -5*o + 10*o = c. Suppose o*m - 579 = 3*m + 2*f, 5*f - 749 = -4*m. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.2, -14\/9, 0.1, 8?\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.053 - 0.063. Let p = -3.99 + u. Which is the closest to -1\/4? (a) 1\/3 (b) 1 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 116679 + -40.88.\nAnswer: 116638.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3930.051 micrograms in kilograms?\nAnswer: 0.000003930051","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 4*u - 19. Let w be v(12). Suppose 5*q - 26 - w = 0. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -1*((1*(sqrt(51) - (sqrt(51) + sqrt(255)\/(sqrt(55)\/sqrt(11)))))\/(1*2*(sqrt(3)*-4 - sqrt(3))))**2.\nAnswer: 183\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 403*t**2 + 156559*t**3 - 156560*t**3 - 403*t**2.\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 238 = 1053*d - 1046*d. Let v(z) = z**2 - 8*z + 4. Let c be v(8). Let r be (2\/c)\/((-17)\/d). Do r and -2\/389 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -99 - -114. Solve l = -3*p, -2*h - 16 = -0*h + 2*p for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1a8 - 539a81?\nAnswer: -539884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4718 - 4688. What is the remainder when 460 is divided by r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*m**3 + 18*m**2 wrt m?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -35*d + 28. Let s(f) = -4*f + 13. Let o(z) = -14*z + 43. Let r(n) = 4*o(n) - 13*s(n). What is 28*r(m) - 3*w(m)?\nAnswer: -7*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -2*h. Suppose 4*o = 3*t + 22 - 6, 3*t + 3*o = -30. Let m(w) = 6*w. Give t*l(b) - 3*m(b).\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -227 not equal to -227?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 (base 11) in base 2?\nAnswer: -100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*q**3 + 78871037 - 78871029 - 32*q**3.\nAnswer: -4*q**3 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 7*1\/(1\/14). Let h(r) = r**2 - r - 76. Let w be h(10). What is the greatest common factor of g and w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12.408 + -12.504. Put -1\/7, h, 5, -9 in decreasing order.\nAnswer: 5, h, -1\/7, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48343 is divided by 12083.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*r + 53 = -11*r - 7*o, -10*r + 53*o - 55*o = -7*r + 25 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuuunuuunuuuuuunnuu. Give prob of picking 3 n.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1d535 (base 14) in base 12?\nAnswer: 37577","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5498, 5564, 5646, 5720, 5762, 5748?\nAnswer: 5654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, -53, -140, -271, -452, -689, -988, -1355?\nAnswer: -1796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4570.515l to millilitres.\nAnswer: 4570515","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1453842, -2907676, -4361508, -5815338, -7269166, -8722992, -10176816?\n\"Answer: r**2 - 1453837*r - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 2*o + 5*f + 11, -3*f = o + 11 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 746 is divided by 27?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 0*h + 30 = 0. Solve 2*g + 5 = 5*i + 3*g, 3*g - h = 3*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 39*q - 176*q + 685. Solve 4 = -2*f + v + q, 5*f - 1 = 2*v for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 700, 5503, 18524, 43867, 85636, 147935?\n\"Answer: 684*t**3 + 5*t**2 + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:39 AM and 3:25 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -250 at most as big as 1073?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 10*24\/150*25 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5059949 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 31 - 36 = 3*z, -z + 1 = -i. Solve 8 = i*g - 3*p, -3*p = -4*g - 7*p + 8 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/23842 and -41\/20.\nAnswer: 238420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 + 3*s + 3. Let i be h(7). What are the prime factors of 3\/5 + (-435)\/i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -d**3*o**2 + 4*d**3 + 318*o**2 with respect to d.\nAnswer: -3*d**2*o**2 + 12*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 3\/7 (b) -1 (c) 1\/5 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -138531 - -138533. Let q = 20 - 11. Put g, 4, q in decreasing order.\nAnswer: q, 4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 2 - 58*w**4 + 62*w**4 + w**3 - 54*w to n + q*w**3 + b*w**2 + f*w + t*w**4 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 381*b - 131*b - 59*b + 9 - 96*b - 106*b.\nAnswer: -11*b + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -452.86 to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**0)**(-33)*w**4\/((w\/((w**7\/w)\/w))\/w))**(22\/7) assuming w is positive.\nAnswer: w**(198\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 24530437 to the power of 1\/3, to the nearest integer?\nAnswer: 291","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.24 + -0.33. What is the nearest to -0.2 in -5, -4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86 is divided by 71.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 422?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -13*d + 23*d - 11*d. Let r be ((-4)\/(-10))\/((-1)\/5). What is q(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 25849 * -2.67.\nAnswer: -69016.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1340 divided by 116?\nAnswer: 335\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32 and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 167276648 to the nearest integer?\nAnswer: 12934","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 153067 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes before 9:05 AM?\nAnswer: 9:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2069 - -5498. Suppose -4*t = -3*f + 3411, 17*t = -3*f + 15*t + c. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 713550 and 184920?\nAnswer: 2010","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -41, -129, -215, -299, -381, -461, -539?\nAnswer: -615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 175447 divided by -175447?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/(-24))\/(675\/200)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/396 and 11\/201.\nAnswer: 26532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 - 5*w**2 - 16*w + 16. Let p be m(7). Solve 3 = -p*q - n - 1, 8 = -4*q - n for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from szfuzcdczucc. Give prob of picking 1 d, 1 z, 1 f, and 1 u.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -130 (base 5) to base 15.\nAnswer: -2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -12*l**2 + 72*l - 108. Let d(r) = -4*r**2 + 24*r - 36. Let t(u) = -16*d(u) + 5*f(u). Factor t(n).\nAnswer: 4*(n - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 405.8524 decades?\nAnswer: 4.058524","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1484525057 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 299116*o + 1495703. Calculate t(-5).\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -53475 by 120.\nAnswer: -3565\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 152*x**2 - 74*x**2 - 6 - 77*x**2 - 30.\nAnswer: x**2 - 36","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 204d (base 14) to base 13\nAnswer: 26b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 275612, 275555, 275498?\nAnswer: 275441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-88)\/(-32) + (0 - (-3)\/12). Let o be -2*1 + -1 + 3. Factor 1\/2*y**z + 0 + 0*y + o*y**2.\nAnswer: y**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -161120, -321348, -481562, -641756, -801924?\nAnswer: -962060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.1659 + -0.3659. What is the closest to 0.1 in r, -0.5, 1\/4, 1\/2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41400 = 5*c - 22*n + 27*n, -2*n - 33120 = -4*c. Is c a multiple of 90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 259749485 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*w**3 + 6*w**2 + 8*w**3 + 1 - 11*w**3 to the form u + m*w + s*w**3 + g*w**2 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07933 times -39?\nAnswer: -3.09387","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 119 + -115. Suppose 195 = u*x + 5*s, -3*x + 2*s = 6*s - 147. Suppose 15*w - 6*w - x = 0. Solve w*t + 3 - 12 = -4*a, 21 = -4*a + t for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -571399120 by 368.\nAnswer: -1552715","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + -2004343123?\nAnswer: -2004343113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 4*d. Let k(n) be the second derivative of -19*n**4\/4 - 155*n. Calculate f(k(i)).\nAnswer: -228*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22669 - 45711 = 276*t + 55066. Which is greater: t or -293?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*t - 33*t**2 - 115*t**3 - 130*t**3 + 7*t**3 wrt t?\nAnswer: -1428","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(162)*5 - sqrt(288)\/(sqrt(36)\/sqrt(4) + sqrt(9)).\nAnswer: 88*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + (-3)\/(6 - 3). Suppose i = 3*g - l - 38, -l - 16 = -g - 0*l. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 - 4)*(5 - 3*c - 5)*(-1 + 4 + 0)*(2 + 3 - 3).\nAnswer: 144*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -3*h. Suppose -3*x + 5*x - 3*v = -16, v = 4*x + 12. Let t be a(x). Let n(y) = -y**2 + 6*y + 2. Let i be n(t). Solve m - i*m = 1 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (17\/(-9))\/(114\/855) and -38\/263.\nAnswer: 1578","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange j**2 - j**4 - j**2 + (-4*j - 1 + 1)*(-26 + 26 - 5*j)*(19 - 31 - 29)*(2*j**2 - 3*j**2 - j**2) to m*j**3 + w*j + c*j**2 + t + v*j**4 and give v.\nAnswer: 1639","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 18.60023 years?\nAnswer: 0.1860023","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 16 - 17 - 1*-505. Suppose 9*b = 18*b + z. Let u = 59 + b. Solve 6*v = 5*v + u for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of 3*z - 1\/3*z**3 + 1 - z**2. Find o such that j(o) = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 244887.\nAnswer: 244891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2844)\/(-14931))\/(6\/(-7))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 1 = 2*m, -3*q + 9 = 3*m - 0. Let o(j) = -j**3 + 6*j**2 + j - 6. Let v be o(6). What is the lowest common multiple of (0 - v)\/1 + 4 and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 106\/3 - 35. Let z = -21 + 26. Which is the second smallest value? (a) -2\/5 (b) z (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1 and -144468248313?\nAnswer: 144468248312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -205.2 - -205.3. Let o = 1681\/6 - 281. Which is the second smallest value? (a) v (b) o (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1733*d - 6770 - 87784 = 121*d for d.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -230 divided by -23.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = h + 4*o - 16, 5*h = -10*o - 70. Let h*a - 9\/5 - 21\/5*a**2 = 0. Calculate a.\nAnswer: 3\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.5 (b) -302 (c) -5\/6 (d) -84\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 4.6187 times -0.06\nAnswer: -0.277122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the third derivative of 5\/32*k**4 + k**2 + 0 + 0*k - 1\/12*k**3 - 1\/10*k**5 - 1\/30*k**6. Determine b so that x(b) = 0.\nAnswer: -2, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r + 4. Let a be 2*(-12)\/30*-5. Let w(b) = b**3 - 4*b**2 + b - 9. Let d be w(a). What is j(d)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - -2. Suppose 0 = -x - n, d*x + 0*x + 8 = n. Let l = 3 - x. Solve -g = -2*g + l for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -28*d**2 + 28*d**2 - 36*d**4 + (2*d**4 - 3*d**4 + 0*d**4)*(-4 + 1 + 1) + d**4 - d**4 + 2*d**4 in the form s*d**2 + c + r*d + l*d**4 + h*d**3 and give l.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 24*t + 62. Let h be w(-4). Let b(s) = -s**3 - 29*s**2 + 36*s + 144. Let n be b(h). Round n to the nearest one hundred.\nAnswer: 4700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the first derivative of -l**4\/4 - 10*l**3\/3 - 10*l**2 + 1498. Give g(-8).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -23 + 5. Suppose 3*j + 3 = m. Suppose 4*l + 3*h = -407991, -2*l + 7*l = j*h - 510015. Round l to the nearest 10000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-66)\/18)\/(1\/(-9)). Suppose h - 3*a = -a + 9, -5*h - a = -23. Let x be h\/15 + (-32)\/(-3). What is the highest common divisor of x and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -90 * -635464\nAnswer: 57191760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 205720 (b) 2\/11 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-81)\/(-12))\/((-1)\/4 - (-5)\/5). Let h(a) = 2*a**2 - 21*a + 31. Determine h(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 992*s + 892208 = 1008*s. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8230255 equal to 8230238?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)\/sqrt(100) + sqrt(19) - sqrt(171)*-2)**2.\nAnswer: 24624\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - -6. Suppose -q + 8 = -b. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -54 - 60. Let s = -78 - q. Let h = 1.1 - 1. Which is greater: h or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -5*q. Let b(u) = -60*u. Let m(l) = -3*b(l) + 35*p(l). Let h(z) = -z - 29. What is h(m(r))?\nAnswer: -5*r - 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 40893854 to the power of 1\/2, to the nearest integer?\nAnswer: 6395","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*y**3 + 3*y**3 + 8*y**3 + (-3*y + 0*y + y)*(8*y**2 - y**2 - y**2))*(6*y + 1 - y - 3) to x + u*y**4 + w*y**3 + m*y**2 + d*y and give u.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 122654415 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 5*z = -7 + 20, 4*z + 12 = 4*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-408)\/136*-1*5\/(15\/(-14))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 - 3*j**2 + 6*j + 3. Is x(-6) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 117, -3, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffhhhhhhh. Give prob of picking 2 h and 2 f.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1546938 and 3798.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 42 (b) 6 (c) -2 (d) 4 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14*k**3 + 234*k**2 - 345*k - 35.\nAnswer: 84*k + 468","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddfdddddff. Give prob of sequence fddf.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 3*j**2\/2 + 243*j - 16692 = 0.\nAnswer: -214, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 4, 2\/47, 5, 0.27, 11?\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -201.182 + 201. What is f rounded to 2 dps?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -44, -104, -162, -218, -272, -324?\nAnswer: -374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in twenty-nine fifths of a meter?\nAnswer: 580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 755759 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of 4*c**3\/3 + 2*c**2 - 4*c + 11. Let o(r) = -r**2 - r + 1. Determine -2*m(w) - 7*o(w).\nAnswer: -w**2 - w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 326d (base 14) in base 13?\nAnswer: 3c7b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 97 = -4*a - 17, -3*a + 2*v + 62 = 0. Let t be (-14)\/(-6) + (-6)\/a. Solve 5 = -t*w - 5 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 265 - -13?\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 126 and 4246389?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/((-18)\/(-3)))\/(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 5*y = 440, 5*j + 5*y - 27 = 1038. Let u be j\/6*(-5998)\/20. Let c = u + 10758. Calculate the common denominator of 37\/18 and c.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12141, -24462, -37153, -50400, -64389, -79306, -95337?\nAnswer: -112668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*q + q. Let w be 7\/4*(3 - -1). Suppose 29 - w = q*s. What is the greatest common factor of s and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/13, 0.2, -42\/13, -5 in increasing order.\nAnswer: -5, -42\/13, -1\/13, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.3 - 0.7. What is the fourth biggest value in -2\/7, -2\/11, q, -0.3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 - 8*p**2 - 11*p. Let m be s(-8). What is the greatest common divisor of m and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 AM and 11:41 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:09 PM and 9:57 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4992677*q**5 + 32962*q + 10 wrt q?\nAnswer: -99853540*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -9*p**2 - 2*p - 9. Determine k(-2).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*d - 10*d + 77 = 0. Let m be 4\/(-20) + d\/(-55). Which is greater: m or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5\/1 + 0 + -2. Suppose -32 = -o + 4*f, -s*f + 63 = 4*o + 11. Let m be 3830\/30 + (-3)\/(-18)*2. What is the highest common factor of o and m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.24? (a) -113 (b) -0.4 (c) 5 (d) -5 (e) 1\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 45026263.4 rounded to the nearest 10000?\nAnswer: 45030000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from asassassssasalassls?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 11:08 PM?\nAnswer: 5:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -410 + 416. Let r(s) = 4*s + 2. Let q(w) = -w. Let t(f) = 5*q(f) + r(f). Determine t(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -2*l + 3*l + 15 - 5. Let c be o(-10). Differentiate 3 - 3*j**3 + c + 2 - 3 wrt j.\nAnswer: -9*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 63494 to the nearest integer?\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hxddxf. Give prob of sequence dx.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2128\/63 + ((-50)\/18 - -3). Suppose 127 + i = 7*x. Which is bigger: x or 4\/3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - -4. Which is the biggest value? (a) 0.2 (b) l (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**2 - 4*a. Let f be g(4). Let w be (-4)\/(-10) + (-8 - 318\/(-30)). Solve f = -w*z + z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 121839?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/2 + (-3)\/(-2). Suppose b*m = -3*m + 70. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + -58 + (-1 - (-21 - -17) - (-2 + 8))?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4212 and 7155876?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15725.\nAnswer: 5, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 235, 132, 37, -44, -105, -140?\nAnswer: -143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.1 - 2. Let q = 3 - 1. Let g = 4860 - 4859.6. Which is the nearest to x? (a) g (b) q (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3084110 divided by 2?\nAnswer: -1542055","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2 + 344*u + 9. Give s(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 - 32*a + 55. Calculate i(30).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 495 and 171?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 37.4221365 rounded to 0 dps?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -295, -276, -221, -112, 69, 340, 719, 1224?\nAnswer: 1873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes before 6:07 AM?\nAnswer: 9:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 124 + 12. Let m be (51\/g)\/(1\/(-4)). Suppose 4*k = -4*w + 68, k - 31 = -2*w + 2*k. Solve 4 = m*n + w for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4092)\/(-1364)*2*1\/(6\/(-4)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/7398 and -49\/2430?\nAnswer: 332910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 (base 7) in base 3?\nAnswer: -222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 12960, 51910, 116886, 207936, 325108, 468450, 638010, 833836?\n\"Answer: 8*s**3 + 12965*s**2 - s - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = j - 0*j. Suppose 13*g = j*g. Let v be g + 0\/2 + 24. What is the greatest common factor of v and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 - 25*y**2 + 35*y - 209. Give w(24).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -2*w**3 + 23*w**2 + 423*w + 20. Let v be q(-10). Solve 87 = d + v for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*-52\nAnswer: 5.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -5*u - 178, 4*x - 5*u = -3*u + 172. Let j = -29 + x. What is the highest common factor of 13 and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(1216)*-2 + 1*sqrt(1216)*5)*4*4)**2.\nAnswer: -36864*sqrt(19) + 2803968","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 208 to the power of 1\/4, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69153 - 7075 = -671*z + 5714 for z.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15 and 11361?\nAnswer: 56805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -3*j + u - 37, -3*u + 69 = 2*j. Suppose -j = -4*w + m, -2*m + 10 = 5*w - 49. Solve -5*r + 4 = -w for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -6*k**3 - 6*k**2 - 10*k + 9. Let x be p(-7). Suppose -3*b = -2*w - x, 2*b - 5*w - 160 = 1054. What is the hundreds digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 457151 or 457070?\nAnswer: 457151","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*v - 38*v = -15 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qbqpbbqbpb. What is prob of sequence bbbb?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 33*i**2 - 19*i - 19. Let v(h) = -98*h**2 + 66*h + 54. Determine -7*d(u) - 2*v(u).\nAnswer: -35*u**2 + u + 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 288060 less than -944?\nAnswer: -289004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the second derivative of -r**3\/3 + 4412*r. Let a(k) = 4*k + 0*k + 3*k + k. What is a(x(h))?\nAnswer: -16*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4455?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4491\/3718 + 34\/169. Let k be (-2)\/((-22)\/(-20) - 1). Find the common denominator of d and 1 + 79*1\/k.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 x when three letters picked without replacement from {c: 5, x: 2, z: 8}.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2 - 2*s. Let o be b(2). Let t = o + 2. Suppose -611 = -t*j - k, 5*j = k + 3*k + 1547. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 29*f - 6*f - 7*f - 16*f - 195*f**2 as x + n*f + i*f**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -627419, -6, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -45*(23667\/(-245) - -99)\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 4800 divided by 1200\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum -46 and -0.01355542.\nAnswer: -46.01355542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 16796 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38.45832 seconds to milliseconds.\nAnswer: 38458.32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12139\/7 + -1731. What is the common denominator of y and -55\/2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2\/13 + 36*p + 20054\/13.\nAnswer: -2*(p - 271)*(p + 37)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6855*a**2*m**2 - 4595*a**2*m - a**2 + a*m + 3*a - 857*m**3 + 5*m wrt m.\nAnswer: -13710*a**2 - 5142*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -42387 - -42386.999943223. What is k rounded to 6 decimal places?\nAnswer: -0.000057","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1395.000002326 - -1395. What is w rounded to seven decimal places?\nAnswer: -0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from xppppxpxxxprxp.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4.4? (a) -2\/23 (b) -21\/4 (c) 5 (d) -4 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 24 = 4*i, -2*y = 131*i - 129*i. Let w(q) = 4*q**2 + 7*q + 1. Let z be w(-3). Let p = -16 + z. Sort -74, i, p in decreasing order.\nAnswer: i, p, -74","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3299218?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of -k**6\/15 + 23*k**5\/5 - 62*k**4 - 3640*k**3\/3 - 5408*k**2 + 3200*k. Find j, given that o(j) = 0.\nAnswer: -4, -2, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -626343243 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -5*u**2 - 2*u. Let f(i) = -11*i**2 - 4*i. Let r(j) = -j**2 + 6*j + 52. Let g be r(-5). Calculate g*f(h) + 7*s(h).\nAnswer: -2*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 + 7*(-2)\/(-2). Suppose 0 = -u*d - 2*d + 24. Solve 4*g + d*j = -24, 5*g + 6 + 14 = -3*j for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ehhhhhhhe. What is prob of sequence eh?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 + -14 + (-2 + 21 - (9 - 6))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:28 AM and 10:20 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -314486 not equal to -314490?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 993 * -0.4\nAnswer: -397.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + 6*n - 5*n - 10, -10 = p - 4*n. What is the units digit of ((-718)\/10)\/(p\/(-30))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - -ab3?\nAnswer: ab7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*g - 37*g - 13*g - 312 = -992 for g.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -62694520*l**2 - 125389044*l - 8 = 0.\nAnswer: -2, -1\/15673630","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/585 and -1*8 - (635459\/1980)\/(-41)?\nAnswer: 2340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -3*h + 112. Let n = -196 - h. Let c be ((-90000)\/6)\/(6\/n). What is c rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 39 - 21 = 0. Suppose 5*j = 3*j + 10, -4*f - y = -4*j. Suppose f = 5*a - 14 + 4. Solve 3 + a = -k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (34\/(-12) + 3)\/((-10)\/(-15)). Let x = 4.8 + -0.8. Let f = 7 - x. What is the closest to -1 in f, y, 5\/4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 74096 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the second derivative of -s**4\/4 - s**3\/2 - s**2\/3 + 2*s + 8. Let y(o) = 0. What is o?\nAnswer: -2\/3, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:05 AM and 8:34 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 907865985?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 4*s - 4, 3 = 4*z + 2*s + s. Determine d so that -8\/11*d**2 + 2\/11*d + z = 0.\nAnswer: 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - -2 - 1 - 3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 37\/((-2331)\/14)*54\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 5500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-9)\/(-6))\/(2\/4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 5*q - 225 = 0, -5*i - 4*q - 13 + 234 = 0. Is 0.1 equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the second derivative of u**6\/15 + 5*u**4\/6 - 6*u. Find the third derivative of y(v) wrt v.\nAnswer: 48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**2 - 4*c - 16. Let d be b(13). Let y be (1 + 1)\/(1\/35). Let x = d - y. What is the remainder when x is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 280, 922, 2488, 5386, 10024, 16810, 26152, 38458?\nAnswer: 54136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17237*y**3 - 47682*y**2 wrt y.\nAnswer: -103422","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3369\/13 + 259. Put m, 2\/13, 1\/27 in ascending order.\nAnswer: m, 1\/27, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 - -6. Let n = -0.05 - -0.35. Which is the second smallest value? (a) n (b) t (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 91, 186, 281, 376, 471, 566?\n\"Answer: 95*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 0) + (-32 - -32) - 6\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = l - 15. Suppose l*h - 2 = 13. Let 2*z**2 + z**4 + 3*z**3 + 5*z**h - 5*z**3 = 0. Calculate z.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2035243*n**3 - 1874844*n + 51?\nAnswer: 12211458*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 53 + -1 + 20 + -9 + (2 - 20).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2762550099.\nAnswer: 3, 17, 431, 41893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -26*i**3 - 9*i**2 - 11*i - 13. Let j(q) = 8*q**3 + 3*q**2 + 4*q + 4. What is 19*j(o) + 6*l(o)?\nAnswer: -4*o**3 + 3*o**2 + 10*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.101 - 5.101. Let y = 1 + h. What is the smallest value in y, 0.01, 5, 0?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from qxixyqwiiiwqxiiq.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/1376 and -65\/708.\nAnswer: 243552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a gram in milligrams?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -30011 - -30107. What is the remainder when 884 is divided by r?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -385, 1313 in descending order.\nAnswer: 1313, -9, -385","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -2*k**2. Let m(y) = -y**2 - y. Suppose 0 = -5*l + 7 - 2. Let i(f) = l*a(f) - 3*m(f). Suppose -4*h - 28 = 4*s, -s + h - 18 = 3*s. Calculate i(s).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s + 1. Let i be m(-3). Suppose -5*c + i*c = 4. Let j = c - -7. Solve j = 5*z - 2*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes after 11:10 AM?\nAnswer: 1:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13282 + -13281.99. What is the fifth smallest value in 3, 4, c, 2, -0.11?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -341822 + 2?\nAnswer: -341820","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33 + (-31 - (-23 + 25))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2997 + 1064. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 3*u**5\/5 + 2619*u**4\/5 + 855414*u**3\/5 + 123451614*u**2\/5 + 6522648039*u\/5 - 20702317689\/5 = 0?\nAnswer: -219, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*p + 21*p = -4. What is the second smallest value in -30, p, 4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*t**4 - 13*t**4 - 4*t**4 + (-13*t + 13*t - t**2)*(-2 + 2 + 2*t**2).\nAnswer: -11*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uaua when four letters picked without replacement from auattauu?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.033 - 8072520746803?\nAnswer: -8072520746802.967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*s + 56 - 56)*(s + 3*s - 6*s).\nAnswer: 24*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f**2\/4 - 148*f - 2745 = 0. What is f?\nAnswer: -18, 610","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -s + 3*s. Let m be 2 - (-7)\/(s\/4). Find the first derivative of -1 - 1 + 4 - 5*y**2 - m wrt y.\nAnswer: -10*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 523 = 5*q + 113. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2511884400 to the nearest 100000.\nAnswer: 2511900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 6, m: 2, k: 2, i: 9}. What is prob of picking 1 k, 1 a, and 1 m?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = 3, m = -0*b - 2*b - 0*b - 6 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6459\/4 + -1526. Let c = -3160 - y. Let p = -15797\/6 + 2626. Find the common denominator of p and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7197.054 - -0.0552.\nAnswer: -7196.9988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 4*t = -2142, 0 = 2*p - 4*p - 5*t - 870. Let a = p - -432. Solve -3*k + a = -1 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13666 is divided by 49?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001661 to four dps.\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.09, 5, -29\/13, 0, -2 in descending order.\nAnswer: 5, 0, -1.09, -2, -29\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*z = -50*z - 72 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2.49592*0.3\nAnswer: -0.748776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8620, -8616, -8612?\nAnswer: -8608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 55 + -50. Suppose -l - 2*l + 4*b + 14 = 0, 4 = 4*l + 2*b. Suppose a*c + 7 = l*t + 2*t, c + 8 = 3*t. What are the prime factors of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -1, -0.4, -0.5, 2.215, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2148 and 44.\nAnswer: 23628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1288, -90, 3?\nAnswer: -90","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*j - 55 = -56*j. What is the lowest common multiple of 8 and j\/(33\/18)*-1?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/10 and 49\/100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 v, and 1 u when three letters picked without replacement from {f: 1, u: 3, v: 1}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2308690?\nAnswer: 2, 5, 19, 29, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*u**3 - u**3 + 3*u**3)*(-1161 - 270*u + 1161) - 3*u**4 + u**4 - 4*u**4 as a*u**3 + k + w*u + d*u**4 + v*u**2 and give d.\nAnswer: 264","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -10*o**2 + 425*o + 435 = 0?\nAnswer: -1, 87\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 39928 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 divided by 35.\nAnswer: -8\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -646 - -365. Let z = -125 - c. Suppose 2*b - n - 261 - 50 = 0, -b + n + z = 0. List the prime factors of b.\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 317226 is divided by 158257?\nAnswer: 712","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -f**2*n**3 + 203337*f**2*n - 3931039*f*n**3 + 4*f*n**2 wrt n?\nAnswer: -6*f**2 - 23586234*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*i + 2 - 1127*i**2 - 40931*i**4 - 2*i**3 + 41058*i**4 + 161*i**2 wrt i?\nAnswer: 3048*i - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 6:45 PM?\nAnswer: 8:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19 - -22. Suppose -d = 5*z - 12400, 7678 = -2*d + a*z + 32478. What is d rounded to the nearest one thousand?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 1 - 4*k - 2.\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + i = 4256, -2556 = -3*b + i - 4*i. Suppose -b - 39 = -r. Round r to the nearest 100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5696 and 9024608?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1364090.\nAnswer: 2, 5, 7, 13, 1499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49781.\nAnswer: 67, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 40088 - 27501. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 1. Let k = x - -3. Which is smaller: 1\/8 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-8))**(8\/7)\/(w*w**(-16)*w*w**7))**(-10) assuming w is positive.\nAnswer: w**(150\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16 - 4)*(-91)\/(-42)*36\/(-576)?\nAnswer: -13\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 135014392 to the nearest integer?\nAnswer: 11620","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*r - 3*r + 0*r + (3 + 0 - 2)*(2*r + 3*r - 3*r))*(5 - 5 - r) in the form p + b*r**2 + n*r and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.05 + 0.05. Let m = 2.164 - 1.844. Which is bigger: k or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -1*sqrt(1088) + 1 + -1 + 0)**2*2*2.\nAnswer: -64*sqrt(17) + 4356","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = -4*u - 25 + 37, 0 = -4*p + 4*u for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 - 1)*(-5)\/((-25)\/20). Suppose -9*k = -7*k - m. What is the units digit of 2*(14\/21 - k\/12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 + -4. Let j = n + -3.3. Let i = -11.2 - -11. What is the smallest value in -3, i, j?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-402)\/(-24)*4 - -5. Is (-18)\/h + (-258)\/(-8) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 5*o = -2*d + 285, -198 = -4*d + 2*o. Suppose 0 = 4*y - 5*m - d, 0*m - 44 = -5*y + m. Solve 20 = -y*w + 3*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/((-12)\/51) - 82\/164. What is the highest common factor of h and 664?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 104.0000315 - 104. Round k to 6 dps.\nAnswer: 0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -56647696+2509.17\nAnswer: -56645186.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 + 38*u**2 - 1004*u + 118. Let b be f(-56). Is -102 at least as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 625*m**3 + 11885*m**2 + 11440*m + 180.\nAnswer: 5*(m + 1)*(m + 18)*(125*m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -660 = -i - i. Suppose -3*w + i = -2*t, 0*t = -2*w - t + 220. Calculate the greatest common factor of w and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 4*l - 1 + 14 = 0, -4*u - 3*l + 9 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 3 = 3*s - 2, 2*s = -4*d - 2. Is 1 <= d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1665 and 635055.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w - 9. Let l be n(-5). Suppose h + 219 = 4*h. Let a = h - l. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 + 8*m**2 - 11*m - 3. Let j = 815 + -728. Calculate the remainder when j is divided by n(-9).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(567)*-3 + 2) + -2*(-1 + (sqrt(7) - (sqrt(28) + -2 + sqrt(28)))).\nAnswer: -14 + 168*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - -11110?\nAnswer: 11010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*w + 3*w + 0*w + (4 + 2*w - 4)*(-1 - 1 + 0) - 9*w + 3*w - 13*w)*(51 + 41 - w + 27) as p*w**2 + y + q*w and give q.\nAnswer: -2975","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 1 + 1)*(-21*k**2 + 56*k**2 - 5*k**2) + (-2 + 3 - 3)*(4*k**2 - 3*k**2 - 3*k**2) + 7*k**2 - 3*k**2 + k**2 to the form a*k + x + l*k**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 h when three letters picked without replacement from yooyyyyhh.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*q**3 - 15*q**3 - 15*q**3 + 45*q**3.\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 18 = 5*a. Suppose -12 = a*m - 4*m. Let g(c) = -1. Let x(z) = 7*z + 21. Let b(f) = 28*g(f) + x(f). Let i(v) = 15*v - 15. Give m*i(d) - 13*b(d).\nAnswer: -d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -14*x - 14. Let i be c(-4). Let v = i - 20. Let n = v + 13. What are the prime factors of n?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.394 + 0.006. Let z = i - 4. What is the third biggest value in z, -3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -96 - -88. Let x = 13 + d. Which is smaller: x or 7?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 478447162 to the nearest integer?\nAnswer: 782","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16*f*u**2 - 154362*f*u - f + 276983*u**3 - 3*u - 2 wrt u.\nAnswer: -32*f + 1661898*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-4 - 12) + 8 + 3583.\nAnswer: 5, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 570075 and 825.\nAnswer: 825","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71.3853l to millilitres.\nAnswer: 71385.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -18577, -18575, -18573, -18571?\n\"Answer: 2*l - 18579","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 267395 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -23 bigger than -51?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 36.35, -0.4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a millennium in decades?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22 + 7 + 1 + 3 - 5*l + 44*l.\nAnswer: 39*l - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -63\/80 and -17\/4700.\nAnswer: 18800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 42 (b) 8 (c) -1\/3 (d) -64 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*a + 12 = -45*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*r**2 + 0*r + 0*r)*(r - 4 + 4) - r**3 - r**2 + r**2 to u*r**2 + s*r + a*r**3 + z and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 173120.\nAnswer: 2, 5, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the third derivative of 79*a**9\/56 - 27*a**5\/10 + a**2 + 172*a. What is the third derivative of h(m) wrt m?\nAnswer: 85320*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15*f**2*k*m + 6*f**2*k + 2*f**2*m - 151*f*m with respect to k.\nAnswer: -15*f**2*m + 6*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2464592*h*t**6 + 2*h*t**2 + 127*h*t - 7*h - t**6 + t**2 + 18*t + 8 wrt t?\nAnswer: 295751040*h*t**3 - 120*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 91 divide 1835?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 43006.74m in centimeters?\nAnswer: 4300674","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u - 2. Let f be h(1). Let z(b) = -b**3 - 24*b**2 - 4*b - 94. Let p be z(-24). Sort 5, f, p.\nAnswer: f, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2 + r + 1. Suppose 10 = 2*j, -5*q - 2*j - 15 = 3*j. Let b(i) = 6*i**2 + 8*i - 6. Calculate q*m(h) + b(h).\nAnswer: -2*h**2 - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13472 to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*i + 9*i - 6*i + 37*i - 135*i.\nAnswer: -142*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (16 + 15 + 1274\/(-42))\/(2\/162). What is the greatest common divisor of 714 and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 24 = s - 3*x, x + 47 = -3*s. Let r = -11 - s. Calculate the remainder when 9 is divided by 14\/35*70\/r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 964 times 786\nAnswer: 757704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 2*i**2 - 278256. Let f(h) = -13*h. Determine f(o(c)).\nAnswer: -26*c**2 + 3617328","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + -2. Let f be z\/(28\/(-11)) - 2. What is the third biggest value in 0.2, 0.1, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -r + 12. Let k = r + -6. Solve 18 + 0 = 2*u - 3*v, k*v = -5*u - 5 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 1458?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y = 538 + 1592. Suppose -5*r = -g + y, 715 = 4*g - 3*r - 637. What are the prime factors of g?\nAnswer: 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9922792\/87 + -114071. Let r = s + -128\/29. Let a = r - -21. What is the biggest value in 2\/7, -1\/3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2625 + -2625.00003651. Round k to 6 decimal places.\nAnswer: -0.000037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -2 + -17 + 22 - -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-7)\/(-3)*(12 + -3). Suppose 5*b - f - 4 = 0. List the prime factors of b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*((-5)\/(-2) - 3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 419590832 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 20456?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14? (a) -4 (b) 0.3 (c) 271 (d) 3.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b = -5*i + 2*i + 9, 2*i = -3*b + 11 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 9*g**2 + 4*g - 6. Let z be f(1). Solve -6 = -z*o + o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 0 + 5*k**3 + (-3 + 2*k**2 + 3)*(671*k + 4530216 - 4530216) to a*k**2 + w*k**3 + p*k + b and give w.\nAnswer: 1347","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -324*i + 126. Let n(x) = -77*x + 31. Let m(r) = 5*j(r) - 21*n(r). Calculate m(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*d*j**2 - 9*d*j*m**2 - d*m**2 - 2*j + 93*m**2 with respect to j.\nAnswer: 4*d*j - 9*d*m**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of 0*g**2 - 55 + 39*g + 83\/3*g**3. What is the first derivative of j(u) wrt u?\nAnswer: 166*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 5*y**2 + 3*y + 2. Let g be u(-1). Suppose 4*p = 3*d + 2*d + 500, 0 = -g*p - 4*d + 536. List the prime factors of p.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 131463\/(-8) - 36\/288. Let c = -11576 - s. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 n, and 1 j when three letters picked without replacement from {j: 1, t: 1, y: 2, n: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 605449*q - 605449*q + q**2 + q**2.\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(13) - (sqrt(26)\/(sqrt(10)\/sqrt(5) + sqrt(2)))**2) - (0 + (sqrt(13)*-3 - sqrt(13)) + -2).\nAnswer: -17\/4 + 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8769 = -t + 4*z - 8749, -3*z - 225 = -6*t for t.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 12*o + 4. Let j be c(4). Let v = -31 + j. Suppose -5*s + v = -89. What is the greatest common divisor of 11 and s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -22534, -22392, -22154, -21826, -21414, -20924?\n\"Answer: -i**3 + 54*i**2 - 13*i - 22574","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 4*q - 76 = 0, 2*r - 5*q - 44 = -q. Suppose 0 = -5*v + v + k + r, -4*k + 40 = 4*v. Does 6 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -j - 115, h - 2*j - 56 = -h. Let q = -6 - -8. Suppose -q*p + 4*p - 9 = 3*x, 0 = 5*p - x - h. Calculate the remainder when p is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 3*l - 10 = 0, -3*d + 5*l + 35 = -d. Suppose -d*x + 15 = -20. Suppose m - x = -2*g, m = 4*g + 19 + 6. Does 4 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-27)\/9)\/(90\/(-60)). Solve 4*c + 10 + 13 = -3*p, -7 = a*p + c for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33\/8*625\/1375.\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 8258 * -690\nAnswer: -5698020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, q: 1, k: 1, w: 13, o: 1, z: 1}. What is prob of picking 1 s and 1 k?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pov when three letters picked without replacement from {y: 1, v: 1, b: 3, o: 2, p: 1, d: 3}.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5)\/(-10) - 3\/(-6). Which is the second biggest value? (a) -1 (b) d (c) 9\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -592, -3482, -8680, -16186, -26000?\n\"Answer: -1154*p**2 + 572*p - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventy-five halves of a litre?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + g = -3*g + 57, 3*s + g - 66 = 0. Which is greater: s or 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3164145347 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*s**4 + 27 + 12*s**4 + s + 4*s**3 - 28 + 458*s**2 - 3*s**3 - 3*s**3 as z*s**2 + i*s + r + k*s**4 + o*s**3 and give z.\nAnswer: 458","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*z + 353 + 221 = 3*z for z.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 7 + (0 - (0 + 3)). Suppose 5*g = -6 - b. Let p = -1 - g. Solve 4*y - 3*y = -p for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/5 of a millennium in centuries?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 116 * 0.3\nAnswer: 34.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, 8, 21, 52, 107, 192, 313?\nAnswer: 476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27, 65, 117, 189, 287, 417?\nAnswer: 585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n + 120. Let d(z) = 10*z**2 - 1355*z. What is y(d(t))?\nAnswer: -10*t**2 + 1355*t + 120","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the second derivative of -29*r**5\/20 + r**3\/6 - 5*r. Is 14 a factor of v(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*p - 69*p = -55. Solve -34 + 12 = p*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -169599 + 163395 = -132*i for i.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 2*s**3 - 3*s + 2*s - 5*s in the form k*s**3 + b*s + c + r*s**2 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 100?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62603?\nAnswer: 62603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 489 a factor of 3076788?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z + 0*z + 0*z)*(-z + z - 2*z) + 4*z**2 - z**2 - 4*z**2 + (5*z - 3*z + 0*z + (-1 - 4*z + 1)*(-7 + 2 + 0))*(-4*z + z + z).\nAnswer: -41*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 20795283643 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7*t - 7*t - t**2 + 2 wrt t?\nAnswer: -2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 + 35*h**2 - 75*h - 38. Calculate o(-37).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 3:09 AM?\nAnswer: 8:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 - -13. Let c = 0.078 - 7.478. Let r = 3.4 + c. What is the nearest to 2\/7 in t, r, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - 0 - 0 - -4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the third derivative of v**4\/12 - 2*v**2. Let i(o) = o**2 - 4*o + 2. Let j be i(4). Let d(s) = j*s**2 - 2 + 2. Determine g(d(r)).\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 3*a + 11. Let i(f) = f + 1. Let q(l) = -4*i(l) + w(l). Determine q(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -215362 divided by 1.\nAnswer: -215362","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -7 + 3*y**2 - 29*y + 7*y + 22*y. Calculate s(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 10, -35, 5, 2, 3 in decreasing order.\nAnswer: 10, 5, 4, 3, 2, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -4*c + 80, 0 = 12*m - 10*m. Let j = c + -25. Sort -15, j, 5 in ascending order.\nAnswer: -15, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a kilometer in centimeters?\nAnswer: 48000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1587159 and 302316.\nAnswer: 6348636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 AM and 8:38 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -52.9873 + 53. What is s rounded to 3 decimal places?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-24)\/18)\/4 + (-112)\/6. Let g(d) = 7*d**2 - 3*d + 1. Let j be g(2). Let x = i + j. Solve 26 = -x*f - 5*o, -3*f - 12 = -2*f + 4*o for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13594?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 5 + 10 + (1 - 1 - 1)*(-1 - 1 + 1) - 3 + 2 - 1 - 2 + 0 + 3 + (4 - 6 + 3)*(3 - 3 + 1) + 3 - 2 - 3 - 99 - 44 - 119)*(4*m**2 - 2 + 2).\nAnswer: -1040*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 4*d - 13. Let c(q) = q - 1. Determine -5*c(n) + i(n).\nAnswer: -n - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000001 to 7 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1730506 a multiple of 677?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - l = -m + 1, 3*m - 7 = l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*q**2*u**3 + 25*q**2*u**2 + 23*q**2*u + 11*u wrt u.\nAnswer: -36*q**2*u + 50*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 380, 1588, 3608, 6446, 10108, 14600?\n\"Answer: g**3 + 400*g**2 + g - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -200.78 + 200.58. What is the nearest to x in 2\/3, -2\/3, 1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2f (base 16) to base 4\nAnswer: -233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 171 a factor of 132906999?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 - 2)\/(90\/(-165)) - 5. What is the second biggest value in 5, 1, -0.2, c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 605475 a multiple of 345?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 2099994 = 2*l, 0 = -2*b + 4*l + l - 1399985. What is b rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 62 + -62. Solve 0*s - s + 2 = v for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 654 and 840717.\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -352 = -6*g - 94. What is the remainder when 347 is divided by g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -30079 from -72948.7274.\nAnswer: -42869.7274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -21271452 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/(m\/(m**(-1)*m))*(m*m\/(m*m**(2\/19)*m)*m)\/m*((m\/(m*m*m\/m**2)*m)\/m)\/(m*m**(-5)) assuming m is positive.\nAnswer: m**(74\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 326*z**2. Let w(r) be the second derivative of 1\/3*r**3 + 34*r + 0*r**2 - 2. Determine d(w(s)).\nAnswer: 1304*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -18 + 22 + 1 + -12.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + -7. Let p(l) = 2*l**2 + 5*l - 4*l + 2*l. Let x(q) = -q**3 + 3*q**2 + 4*q. Let z(n) = u*x(n) + 3*p(n). Find the second derivative of z(c) wrt c.\nAnswer: 12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -j - 1\/4*j**2 - 1 = 0. Calculate j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*3*(-56)\/(-84).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 4*b - 50 = 0, 2*b = 12*w - 16*w + 40. Let o(t) = -t**2 - 5*t - 5. Let p be o(-4). What is the lowest common multiple of p*3\/1*-3 and w?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6540)\/(-270) - (-2)\/(-9). Let o be (-8)\/2 - n\/(1 + -5). Solve -o*h - 2 = 6 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 153412 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 90 and 92600.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -42686, -42690, -42698, -42710, -42726, -42746?\n\"Answer: -2*f**2 + 2*f - 42686","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -28\/221 + -134\/2431. Sort 1\/25, -3, -1, f, -0.4 in decreasing order.\nAnswer: 1\/25, f, -0.4, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2 + 3*z + 1. Let q be x(4). Let c = 3 - q. Find the second derivative of 0*y - y - c*y + 3*y**5 - 2*y wrt y.\nAnswer: 60*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-1)*(-27)\/(-2). Let d = 39 - r. Calculate the remainder when 0 + -2 + (-225)\/(-9) is divided by d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the third derivative of k**5\/60 - k**4\/4 + 2*k**3\/3 - 54*k**2. Give u(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 54071 and 11246768?\nAnswer: 11246768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40)\/(sqrt(100) - sqrt(4)))\/(sqrt(720)*2 - sqrt(720) - sqrt(720) - sqrt(5)).\nAnswer: -sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -114 (b) -3\/44 (c) 1\/2 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 584 divide 89483541?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 36096 and 204732?\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/2 smaller than 38.8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.5 or -14?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14*t**5 - 6*t**4*z**3 - t*z**3 + t*z + 213*z**3 wrt t?\nAnswer: 280*t**3 - 72*t**2*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4 - 168355\/(-16962) - 14 and -1\/33.\nAnswer: 16962","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3*o - 2)*(-2 + 7 - 3) + (98*o + 246*o - 504*o)*(-2 + 3 - 2).\nAnswer: 166*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 - 3)*(-v**3 - 3*v**3 + 6*v**3).\nAnswer: -16*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*u**3 + 0 - 15 + 0.\nAnswer: 9*u**3 - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nv when two letters picked without replacement from {n: 3, m: 6, v: 8}.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00470858069 rounded to 7 decimal places?\nAnswer: 0.0047086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/(-4) - 55\/16 and (-114)\/(-72)*12\/18 - -3.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 864?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*g + 89 + 4 = 3*u, -6 = 2*u + 8*u + 84 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + f = -246, w + 2*f - 223 - 32 = 0. Suppose -7*u + 2*u = -5*i + 310, -w = 4*u - 5*i. Does 13 divide -3 - -4 - 4 - u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 316?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000262108434 to 5 dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 3*m**3 - 3*m**2 + 9*m - 13. Is 40 a factor of j(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -7 + 0 - -2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2501 is divided by 63.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1d - -5746ec?\nAnswer: 5746cf","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 - 3*j**2 + 2*j + 1. Let b be (-1 + 0)*(1 - 3). Let h be y(b). What is the nearest to 2\/3 in -2\/15, h, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -55496186 and -55496178 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3832715155?\nAnswer: 5, 766543031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -27.84 + 28. Let z = -0.14 - s. Which is the biggest value? (a) -3 (b) 0.1 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the third derivative of d**5\/60 - 2*d**4\/3 - 31*d**3\/6 - 41*d**2. Let w be c(18). Calculate the greatest common factor of 4 and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**5 - 6*v**3 - 10*v**3 + 4*v**2 - 5*v**5 - 4 + 4*v + 2 + 14*v**4.\nAnswer: -2*(v - 1)**4*(2*v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 38\/1227 - 254749\/24540. Let g = -4177\/420 - y. Calculate the common denominator of ((-3)\/(-2))\/(30\/365) and g.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -211*u**2 + 2*u + 14. Let b(f) = 9*f**2. Give d(b(z)).\nAnswer: -17091*z**4 + 18*z**2 + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 + 13*z**2 + 151*z + 1231. Let l be m(-10). Suppose 0*a - 4*a = 3*w - 26, 4*a - 28 = -4*w. Solve -a*q + 4 = -l for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 531.37 + -531. Let x = g + -0.37. Which is the biggest value? (a) 2\/17 (b) 5 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wieieweddeded. What is prob of picking 1 w, 1 i, and 1 d?\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 104? (a) 0.4 (b) -5 (c) -1\/41 (d) -866\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01385 to three decimal places.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10729*o - 10729*o + 262*o**3.\nAnswer: 262*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.16 (b) -7 (c) -2 (d) -1.3 (e) -1\/4 (f) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 8603 = 5*f - 205080, 117849 = 3*f - 5*l. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -157563660, -315127319, -472690978, -630254637, -787818296?\n\"Answer: -157563659*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4721 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1\/20 of a micrometer?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -160137*d + 53322*d + 53320*d + 53499*d.\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -24\/61? (a) -3 (b) -2\/7 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -22 < 5\/1438?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14257?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -429*h - 8544 = 894 for h.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -3*u**2 + 8*u - 2. Let g be y(-4). Let d = g + 82. Let l(v) = -v**2 - v + 9. Give l(d).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10011000000 (base 2) to base 8\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -9022973 to the nearest 100000.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1149\/4 or -389?\nAnswer: 1149\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 8, z: 3}. Give prob of picking 2 d and 2 z.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36897 + 36819 = -3*o for o.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -3018*z. Let s(p) = -15*p**2 + 8*p. What is s(w(g))?\nAnswer: -136624860*g**2 - 24144*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 20 in 2.432, 0.2, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**0\/d**(-6\/5))**(-2\/11)*(d**(-1\/4)*d**(-1))**(-4\/3) assuming d is positive.\nAnswer: d**(239\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -3288, -3284, -3280, -3276, -3272?\n\"Answer: 4*m - 3292","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(6*2*sqrt(15)\/sqrt(5) + 5).\nAnswer: 25 + 60*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -179.7 - -190. Round n to the nearest integer.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 972375033 and 759340.\nAnswer: 973134373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5823 in -45, 15, -3, -2?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 - 2*h**2 + 2*h - 14. Is z(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -7a08 + 3802?\nAnswer: -4206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/501 and (-33)\/(-3) + 108962\/(-9546)?\nAnswer: 18537","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 5*o + 16. Let k(r) = -16. Determine 5*k(q) + 4*l(q).\nAnswer: 20*q - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*b + 24 = 78*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46415 is divided by 15396.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*3*3\/45. Let v = 142 + -141.941. Let l = v - 0.059. What is the second smallest value in l, w, -1\/4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 - 9*x**2 + 11*x - 22. Let n be r(8). Suppose -n*k + 1640 = -0*k. What is k rounded to the nearest one hundred?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of m**2 - 24066022*m + 56323829 wrt m.\nAnswer: 2*m - 24066022","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1385272 and 4155816.\nAnswer: 4155816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 20561455549 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 26.6 - 25. Let d = k + -1.60154. What is d rounded to four dps?\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2 (b) 961 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11003 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -245 divided by -7?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -41, 1322, 5025, 12238, 24131?\n\"Answer: 195*s**3 - 2*s - 234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -884*j + 1906*j - 62342 for j.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18 - -16. Let o be (0 + (-6 - y))\/((-10)\/25). What is the derivative of -o - 3*n + 0*n - 20*n + n wrt n?\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(245)*-1 + -5 + sqrt(245) + (sqrt(245) + 1 + sqrt(245))*3 - -2*(sqrt(245) + -2)*6.\nAnswer: -26 + 126*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -3\/2 (b) -1.249 (c) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*i**2 + 5*i**2 + 44*i**2.\nAnswer: 32*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1011761, 1011769, 1011777, 1011785, 1011793, 1011801?\n\"Answer: 8*g + 1011753","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 259*z - 261*z + 8. Let a = -1 + 1. Solve a = 5*o - 3*v + 14, 0*v + z = 2*o + 2*v for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + 0 - (-8 - -10) - (308 + -294)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 7156*i - 133. Let v(x) = -7155*x + 100. Determine 4*v(j) + 3*w(j).\nAnswer: -7152*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 9) to base 5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113521 is divided by 13516?\nAnswer: 5393","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -53052540 (base 6) to base 15.\nAnswer: -208479","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2926*b**3*k**3 + 27*b**3 - 1513*b**2*k**2 - 751*k**3 wrt b?\nAnswer: -17556*k**3 + 162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 455547 - 130991 = 317*d - 487915. Calculate the highest common factor of d and 143.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (10*r + r - 5*r)*(r + r - 4*r)*(-5110*r + 2519*r + 2828*r) in the form a*r**3 + k*r**2 + y*r + v and give a.\nAnswer: -2844","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 d when two letters picked without replacement from {y: 4, d: 16}?\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 - 4*c**3 - 10*c**3.\nAnswer: -14*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -113 - -119. Let o(b) = -b**2 + 5*b + 7. What is o(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -183 + -4209?\nAnswer: -4392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**2 - 102352*g - 574822144.\nAnswer: -4*(g + 8324)*(g + 17264)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -661 - -1315. List the prime factors of f.\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8523337?\nAnswer: 71, 120047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10277850.24ns to weeks.\nAnswer: 0.0000000169938","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (531\/(-354))\/((-2)\/(-12)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/100 and 63\/145.\nAnswer: 2900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/77)*k*k**(2\/33))\/(k*k**(-13)*k*k**(4\/3)) assuming k is positive.\nAnswer: k**(828\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.3979 - 0.2979. Let j = 18 + -18.4. What is the smallest value in b, 4, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 410 + 1235\/3*k + 5\/3*k**2 = 0. What is k?\nAnswer: -246, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16 - -23. Let l(o) be the third derivative of -o**6\/120 + o**5\/10 + 7*o**4\/24 - 2*o**3\/3 - 2*o**2. Let b be l(c). Is b bigger than -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*f + 2*f + f)*(-20*f + 22*f + 12*f + (-5*f + 2*f - f)*(1 + 0 - 3)).\nAnswer: -22*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**2 + 136191*a - 5442840.\nAnswer: -3*(a - 45357)*(a - 40)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pl when two letters picked without replacement from ljppjjjpjl.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -25*t**3 + 11*t + 11. Let f(j) = -5*j**3 + 2*j + 2. Suppose -2*r + 6 = 0, 5*g + 124 = 4*r - 3. Let m = g + 12. Determine m*f(p) + 2*d(p).\nAnswer: 5*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0393 * 0.02.\nAnswer: 0.000786","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 203, 505, 911, 1421, 2035, 2753, 3575?\nAnswer: 4501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 10 + 2. Let w be 2\/j - (-318)\/(-4). Let n = w - 71. What is n rounded to the nearest 10?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8723199 is divided by 800.\nAnswer: 799","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d + 0*d + 5*d)*(-38 - 27 - 29).\nAnswer: -188*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 421 - 419. Find the third derivative of -92 + 18*k**2 - 17*k**n + 169*k**6 + 264 + 163*k**6 wrt k.\nAnswer: 39840*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*w - 4*w - 3*w)*(-5*w**2 - 18*w**2 + 32*w**2)*(-12 - 10 + 1 - 3).\nAnswer: -864*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 702692.5l in millilitres?\nAnswer: 702692500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 53, 52, 27, -34, -143, -312, -553, -878?\nAnswer: -1299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 127 = -18*c, 44*c - 44*c = t - 1 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31 - (18 - (22 + -21)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10187316 to the nearest integer?\nAnswer: 3192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 212 + -89. Is m a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (36\/15)\/(15\/(-50)). Let y be (-32799995)\/20 - (-2)\/s. Round y to the nearest 100000.\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54012?\nAnswer: 2, 3, 7, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 57 - 27. Let l = 33 - j. Suppose -2*k = 4*n - 14, -3*k + 27 = 7*n - l*n. Calculate the highest common factor of 117 and k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, 1\/10, -0.1, -1, -0.07, 491?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -23, 127, 239, 199, -107, -793, -1973, -3761?\n\"Answer: -19*p**3 + 95*p**2 - 2*p - 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -10, 228, -1, 3 in descending order.\nAnswer: 228, 3, -1, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -3*b**2 - 2*b - 10. Let u be o(5). Let m be 2 + (-200)\/u - 4. What is the third biggest value in 0, m, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34*171.67\nAnswer: 5836.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:09 PM and 2:43 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 27420 and 1809720?\nAnswer: 1809720","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 123665, 247325, 370985, 494645, 618305, 741965?\nAnswer: 865625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*c - 67*c = -36 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 227.2334447056 - 0.2334473056. Let f = o - 227. Round f to 6 dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -177, -376, -575, -774, -973?\n\"Answer: -199*u + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3311, 3312, 3313?\n\"Answer: u + 3310","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -84 - -254\/3. Let s = 0.1501 + 0.1499. Which is the nearest to w? (a) s (b) 1\/4 (c) -25\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2. Let y(q) = 0*q + 1176*q**2 - 573*q**2 + 0*q - 685*q**2. Calculate j(y(b)).\nAnswer: -6724*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -10*b**2 - 97*b - 186. What is k(-2)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4216431 (base 7) in base 9?\nAnswer: -855050","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o\/(o*o\/(o**(-2\/23)\/o*o)))**7*(o*o**12)\/((o\/((o\/(o\/(o**(-7)*o)))\/o))\/o) assuming o is positive.\nAnswer: o**(285\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6883.\nAnswer: 6883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 456726?\nAnswer: 2, 3, 163, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fkh when three letters picked without replacement from {f: 1, h: 1, k: 3}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 29190928489 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -2 - (1 - -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 25*f**3 - 469285*f**2 + 2202612575*f - 3082737875 = 0.\nAnswer: 7\/5, 9385","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/2*98\/42. Let i(j) = 3*j + s*j - 6*j - j. Let c(f) = -f**2. What is c(i(d))?\nAnswer: -9*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -60*w**3 - 5394*w**2 + 2121*w + 21. Let s(v) = 15*v**3 + 1349*v**2 - 531*v - 5. Let a(c) = 21*s(c) + 5*x(c). What is g in a(g) = 0?\nAnswer: -91, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 2 - ((20 - 12) + -14).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -1 + 2 - (-8 - -18)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -308*i - 245. Let c(k) = 5236*k + 4165. Let g(a) = 35*b(a) + 2*c(a). What is the first derivative of g(z) wrt z?\nAnswer: -308","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.97 - -0.03. Suppose s - 12 = 5*s. Let t be 3\/((-30)\/4*s). What is the biggest value in t, -0.5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94*w = -91*w - 15. Solve 4*h + 0 = -4, w*h + 11 = 3*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 3*i**2 + 44*i - 39*i + 303 - i**3 - 292 + 2*i**2. Let y = -1 - -7. Calculate the remainder when 7 is divided by d(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 AM and 5:35 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 288*l**3 - 6*l**2 - 6*l - 429. Let c(u) = 2*u**3 + u**2 + u. Let n(a) = 6*c(a) + d(a). Differentiate n(p) with respect to p.\nAnswer: 900*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 + 2711 = 9*l. What is the remainder when l is divided by 285?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the first derivative of -m**4 - 4*m**3\/3 - 3*m**2\/2 - 4*m - 38. Let l be x(-2). Find the second derivative of 40*i - l*i + 2*i**3 - 4*i**3 wrt i.\nAnswer: -12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 + 19*v**2 + 35*v + 37. Let x be y(-17). Let g be ((-45)\/(-10) - 4)*x. Let n = g + -8. Solve 2*l = n*m + 8, -3*l + 12 + 0 = m for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 8 = -7*j. Solve j*a - 2 = -4 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of -v**7\/840 + v**6\/120 - v**5\/20 + 5*v**2. Let c(b) be the third derivative of p(b). Does 8 divide c(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25213 less than or equal to 24440?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:11 AM and 12:06 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, 2\/3, 6, -3, -0.9, -0.5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -0.13, -3\/110, -474 in increasing order.\nAnswer: -474, -0.13, -3\/110, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.05 + 0.05. Let y be (6\/50)\/(10\/50). Which is the nearest to f? (a) 0.2 (b) -3 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -208777 and 0.137?\nAnswer: -28602.449","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-6*(sqrt(567) + -1 + sqrt(567))*5 + 3)**2 + -5.\nAnswer: -35640*sqrt(7) + 2042288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 20*w = -7*w - 34, 3*w + 4 = -337*d + 342*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69 = 5*c - i, 5817 - 5852 = -3*c - i for c.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.08894 - 0.091978. What is b rounded to three dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -2*x + 2 - 8 + 2 - 3*x. Let b(c) = c**2 - 5*c - 9. Let f be b(7). Let m(q) = 3 + q - 2*q + f*q. Calculate 4*m(r) + 3*o(r).\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + u**2 + 3*u**2 + 10.\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11861788.\nAnswer: 2, 131, 22637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let h = -2292 - -1286. Let t = -304 - h. What is the greatest common factor of t and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/3)*a**(-2\/27))**42 assuming a is positive.\nAnswer: a**(98\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in 0.4, 1\/4, 7\/4, -11?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1319611?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5226230785 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-5)\/j**3)\/(j**5\/j*j**(-1)) assuming j is positive.\nAnswer: j**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 3\/10*(-122)\/732*(-39)\/(-13)\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-2)*672\/(-168))\/1?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**0)**(26\/9))**49)**5 assuming i is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 621926.\nAnswer: 2, 149, 2087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -317 - -577. Calculate the remainder when 35 is divided by i\/22 - (-4)\/22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 6 + 0 + (4 - 1 - 2)*(-1 - 1 + 3)*(-3 - 5 + 1))*(-1 + 2*k + 1 + 2*k + 0*k - k + (-4 - 1 + 2)*(k - 2*k + 0*k)).\nAnswer: -66*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from azsnaaszsasanzzaab. Give prob of picking 1 n, 1 z, 1 s, and 1 a.\nAnswer: 56\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*y**3 + 5*y**4 + 21*y - 38*y + 40 + 52*y - 45*y**2 = 0. What is y?\nAnswer: -1, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16 + 15. Let j = v - 30.8. Which is the nearest to j? (a) 1 (b) 4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 b when two letters picked without replacement from {a: 1, l: 1, b: 1, h: 1, n: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 290, 225, 230, 329, 546, 905, 1430, 2145?\nAnswer: 3074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -349*g**2 + 1538*g + 240*g**2 - 43*g**2 - 943*g**2 wrt g?\nAnswer: -2190","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 - 2*w**2 + 4*w - 4. Let v(r) = -2*r**3 + 15*r**2 + 9*r - 8. Let y be v(8). Let m be 2 + (0 - y) + -6 + 0. Determine x(m).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 392, -1, 2 in descending order.\nAnswer: 392, 7, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 195 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 43 + -28. Let w(m) = 2*m + 0 - 3*m**2 - 5 + m**3 - 3*m**2 + 0*m. Calculate the remainder when w(7) is divided by b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -3\/4 (b) -0.5 (c) -0.1 (d) 1\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4697 is divided by 4672?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 + (7 - (31 + -16)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wz when two letters picked without replacement from wwwwwwwz.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes after 6:08 AM?\nAnswer: 10:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express u**2 + 1 - 4 - 3*u**2 + 3*u - 3*u**3 + 4 as g + x*u**2 + p*u**3 + w*u and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 - t**2 + 120*t - 101. What is y(10)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -7581, -16713, -25845, -34977, -44109?\n\"Answer: -9132*l + 1551","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 304501324 to the power of 1\/2, to the nearest integer?\nAnswer: 17450","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2531 + 2587. Calculate the remainder when 237 is divided by z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1105332?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 3 + 36 + -34?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9.781 + 0.219. Put 2, i, -5 in decreasing order.\nAnswer: i, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -128\/7 - -249\/14. Let y = 0.07 + 2.93. Let l = 7 - y. Which is the nearest to v? (a) 3 (b) -2 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5\/(((-3)\/9)\/(-1)). Suppose -5*s + 3*o = -0 - 15, -5*s = -5*o - q. Find b such that 1\/3*b**2 - 1\/3*b + 1\/3*b**s - 1\/3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16051*a**2 - 6*a - 1 - a**3 + 16049*a**2 - 3*a - 12*a**4 to the form b + d*a**4 + f*a**3 + h*a + c*a**2 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71193292.\nAnswer: 2, 647, 27509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*j**3 - 2*j**3 + 6*j**3 + (0*j + 3*j + 0*j)*(0*j - 22 + 8*j + 24)*(8487 - 64*j - 8487) in the form u*j**3 + o + a*j + s*j**2 and give s.\nAnswer: -384","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - h = -8, -u + 73 = -h + 71 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1114 divided by -2\nAnswer: 557","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116221 is divided by 115743?\nAnswer: 478","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 + 0. Let v be ((-100)\/75)\/(1\/(-3)). Solve 11 = v*l + 5*k, -l + n = -0*l - 3*k for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 + 9*q**2 + 8*q + 14. Let k be r(10). Let y = 6 + -5. Is y <= k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -4*h + 6, 5*h + u - 5 = 4. Suppose 3*v - 3*w - 26 = 19, -2*w = h*v - 42. Suppose -9*g = -6*g - v. Let r(z) = -z**2 + 6*z + 1. What is r(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g**4\/5 - 9*g**3 + 464*g**2\/5 - 84*g = 0. Calculate g.\nAnswer: 0, 1, 14, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.039 - -39.961. Which is the biggest value? (a) -5 (b) 3 (c) -1 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23849 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 9.9488 - 3\nAnswer: 6.9488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiiii. What is prob of picking 2 i?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2. Let t(x) be the third derivative of 1\/12*x**4 + 0*x + 30*x**2 + 0*x**3 + 0. What is o(t(q))?\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*d - 10 = 29*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-523710)\/(-92))\/(-207)*6\/5?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -42.3\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14*72.\nAnswer: -1008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 323422 divided by 6.\nAnswer: 161711\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2472576 is divided by 824192.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 145847 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: Let q be -3 - -6 - (2 - 16). Let v(a) = -20*a - 7. Let m be v(-8). What is the greatest common divisor of q and m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the first derivative of -33*s**4\/4 - s + 11. Differentiate b(i) with respect to i.\nAnswer: -99*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 + 2)*(-4*t + 6*t - t) + 0*t - t + 0*t - 2369*t + 4387*t + 699*t to c*t + y and give c.\nAnswer: 2718","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -71, -141, -211, -281?\nAnswer: -351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -26 and 2749 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -4396*g + 2274*g - 1959*g - 3145*g as f + s*g and give s.\nAnswer: -7226","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -7*d - 4. Let x be (4\/(-18))\/(d - -1). Is 1 greater than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18 + 111 - (44 + -32)) + -13.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 1 + sqrt(8)\/sqrt(4) + sqrt(2) + -5 + (sqrt(200) + 4*sqrt(200) - (-4*sqrt(288) - sqrt(2))))**2 + 3.\nAnswer: -1414*sqrt(2) + 20454","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-11))\/(216\/297).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3854 = 2834*j - 2740*j for j.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 443 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 + 13. Suppose -f*r + 11*r = 174. Suppose 3*u - 5*z = r, -5*u + 4*z + 46 = 2. Let v(n) = n**2 - 8*n + 7. What is v(u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 886503 is divided by 106?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -71 - -85. Differentiate -138 - 10*l**3 + f + 80*l**3 wrt l.\nAnswer: 210*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/132766 and 92\/4978725?\nAnswer: 9957450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -2*v**3 + 2*v**2 + 3*v - 3. Let i be w(2). Let x(o) = -o - 7. Let m be x(-3). Let d = m - i. Sort d, -5, 4.\nAnswer: -5, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(40)\/(sqrt(1152)*2) - sqrt(20)\/(sqrt(48)\/(sqrt(12) - sqrt(300))).\nAnswer: 97*sqrt(5)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 14*s**3 - 12*s**2 + 12. Let b = -21 + 9. Let q(i) = -i**2. Let u(m) = -m**3 + 5*m**2 - 1. Let r(n) = -4*q(n) - u(n). Calculate b*r(c) + p(c).\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 69 + -3?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f - 1. Let p(y) be the first derivative of 5*y**2\/2 + 4*y - 7. Let k(o) = 4*b(o) + p(o). Let a(u) = -6*u**2. Calculate a(k(q)).\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.071700094 rounded to five decimal places?\nAnswer: 0.0717","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 100273 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 5*g - 19. Suppose 2*d - 30 = g*u, -11 = -d - 2*u - 0*u. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2262372 (base 8) in base 14?\nAnswer: 12052a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*a - 4*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -46870, -46751, -46508, -46105, -45506?\nAnswer: -44675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13869\/4 + 3485. Find the common denominator of 7758\/(-1512) + 2\/(-7) and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 5, 2\/31, 38, -0.7?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - 32531?\nAnswer: -32530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - ((4 - (4 + -4)) + 0).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1160657?\nAnswer: 173, 6709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 326.\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*j + 88*j**2 - 280*j**2 - 17*j + 16*j to the form a*j**2 + v*j + k and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*d - 418 + 118. Calculate the remainder when d is divided by 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -492 - -497. Solve -5*u + 7 = -u + s*j, -2*u - 1 = j for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4913 and 145962?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20900, -20913, -20926, -20939?\nAnswer: -20952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1667 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: Calculate the highest common divisor of 82 and 510901.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*r**2 - 3*r**2 - r**2)*(62*r + 7 - 3 - 60*r).\nAnswer: 24*r**3 + 48*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15*1*3)\/((-8)\/(-6)*(-2043)\/1816).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3.7046+-6\nAnswer: -9.7046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4606*i**3 - 36*i**2 - 12*i - 2 wrt i?\nAnswer: 27636","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10835 + -21669\/2. Which is the nearest to -0.1? (a) x (b) 0.14 (c) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(342)\/(sqrt(9) + sqrt(9)*3))\/sqrt(2) - ((sqrt(931) - (sqrt(931) - 3*sqrt(931))) + -2).\nAnswer: -83*sqrt(19)\/4 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 71208 - 45522. List the prime factors of f.\nAnswer: 2, 3, 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 - 2. Let j be h(-3). Let p be 3 + j - 0\/2. Let g(n) = 10*n**2 - n - 1. Let z be g(-1). Solve 4*i - p = z for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -33 and -52.153.\nAnswer: 1721.049","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/184 and -49\/7204.\nAnswer: 331384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -10, -1, 9, -12 in descending order.\nAnswer: 9, 0, -1, -10, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - 4)*(44702*w**2 - 22349*w**2 + 28 - 22311*w**2) to g*w**2 + o*w + y and give g.\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1738*b - 1723*b - 1829*b + 5293*b.\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*b*u**4 + 45*b - 2*u**4 - 18*u with respect to u.\nAnswer: -16*b*u**3 - 8*u**3 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 453.2117 nanometers in meters?\nAnswer: 0.0000004532117","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 70500 by -5.\nAnswer: -14100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 118015654 to the nearest integer?\nAnswer: 491","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (992\/(-12648))\/((-96)\/(-45) - 2)?\nAnswer: -10\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-126)\/(-5) - (-3)\/(-15). Suppose -w = 2*t - 21, 3*t - w - 4 = j. What are the prime factors of t?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-536)\/(-14) + 4\/(-14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 138\/(-52) + -1*(-20)\/8.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, b: 1}. Give prob of picking 1 b and 1 e.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -45*u + 36. Suppose 13*l + 12 = 10*l. What are the prime factors of v(l)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 2*k. Let v = 10 - 6. Let d = -7 + 11. Let l(n) = v*n - d*n + n. Give o(l(z)).\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -126, -2, 4, 2, 124 in decreasing order.\nAnswer: 124, 4, 2, -2, -4, -126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1592944474?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -12112 (base 7) to base 12\nAnswer: -19a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-2\/9))**(-12)*(b**0\/b*b)**24 assuming b is positive.\nAnswer: b**(-44\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -356399450 divided by -35639945.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.411596m?\nAnswer: 0.000411596","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 6*z**2 + z - 2. Let y be o(1). What is the third derivative of -y*r**2 - 6 + 6 - 2*r**2 - 13*r**6 wrt r?\nAnswer: -1560*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -9726822*u + 220. Let a be s(10). Round a to the nearest 100000.\nAnswer: -97300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*i - 6*i = -m - 10, -3*m + 4 = -5*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v + v + v**2)*(3 + 0 - 2) + v**2 + 2*v - 2*v - 11*v**2 + 4*v**2 - 56*v**2.\nAnswer: -61*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110111111001 + -11100000000?\nAnswer: -10010011111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57 is divided by 57.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13917*v**2 + 2 - 2 - 13905*v**2.\nAnswer: 12*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13321 (base 4) to base 10.\nAnswer: -505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 3*d - 9. Let h be y(7). Suppose -4*a - h = -0. What is the units digit of 1\/(-3) - 28\/a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 36*f + 35*f - 18 = 0, 2*f = g - 15. Solve 0 = g*p + 3*d - 0 - 6, 4*d = 4*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1432210 rounded to the nearest 10000?\nAnswer: 1430000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18.6 - 18.6. Put 5, -0.5, -1, b in descending order.\nAnswer: 5, b, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and -51.7.\nAnswer: 15.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - 2*sqrt(3)*-2)**2 + 3 + (sqrt(27))**2.\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (319\/203)\/((-18)\/42*1\/(-9))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -2*o**2 - 2967*o + 35896. Determine m(12).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/56 + (-269841)\/(-92820))*105\/(-6).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 159.5311 nanometers to millimeters.\nAnswer: 0.0001595311","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1\/5272 + -28833\/124213592. Which is smaller: y or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3549 + 1398. List the prime factors of z.\nAnswer: 3, 17, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 2*v. Suppose v = -t + 6*t - 15. Find the first derivative of -1 - 9*p**t - 12 + 5 wrt p.\nAnswer: -27*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -345 - -823?\nAnswer: 478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 24.4 + -28. Let l = v - -4. Let d = 0.3999945 - l. Round d to 6 decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -19 - -a?\nAnswer: -f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 620.49 - 617. Let v = 0.29 - l. Let o = -3 - v. Which is greater: o or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((294\/15)\/(-1))\/(8\/(-20)). Let l = 213 + m. What is the remainder when l is divided by 38?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2564.\nAnswer: 2, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 33 + -42. Let h be (-9)\/2*(-6)\/l. Let a be 12 + 0 + (-5 - h - -3). What is the greatest common divisor of 65 and a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57577.91 millimeters in centimeters?\nAnswer: 5757.791","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -24*k**2 + 33*k + 33. Let z(y) = -3*y**2 + 4*y + 4. Let q(p) = 4*m(p) - 33*z(p). Let a(r) = 44*r - 15*r - 16*r - 17*r. Determine a(q(u)).\nAnswer: -12*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 154 + -58. Let g be -1 + 18 + -1 + (-28)\/7. What is the greatest common divisor of f and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -165674, -165673, -165672?\n\"Answer: r - 165675","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * -137\nAnswer: -68.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.3369 * 1.588\nAnswer: 0.5349972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 17667681 (base 9) in base 11?\nAnswer: 5030541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 less than -7501567.73?\nAnswer: -7501899.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**1\/d*d*d)\/d)**4\/((d**(-4\/11)\/d)\/d**(12\/13)) assuming d is positive.\nAnswer: d**(899\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together 18.6 and 0.3.\nAnswer: 18.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001198525862 to 3 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4 + (44\/4)\/(1\/(-17)). What is the units digit of (-12)\/8 - a\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1392 - 21*z + 349 + 341 + 363 + 339.\nAnswer: -21*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-16 + 10 + 0 - -16)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59004?\nAnswer: 2, 3, 11, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.12554 rounded to three dps?\nAnswer: -0.126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 264 and 26532?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 8 = 3*p. Let d(i) = i**2 + i. Let b(u) = 16*u**2 + 20*u. Let f(t) = 2*b(t) - 36*d(t). Let j(m) = 4*m - 3*m + 2*m - 3*m**2. What is p*f(k) - 5*j(k)?\nAnswer: -k**2 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (137\/(-274))\/(1\/2*3)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1301486 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: Find the common denominator of 23\/1962 and 41\/50358.\nAnswer: 151074","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -123 - -231. Is l a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*m - 10. What is the greatest common divisor of m and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 times 306\nAnswer: -612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1064\/196 - 3\/7. Solve 1 = r + k - 6, 3*k + 11 = h*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 797?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11826 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 261618 and 3606?\nAnswer: 157232418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**7*w**(1\/3)*w*w\/w**(3\/7)*(w*w**2)\/w*w*w\/w**7*w**6*w*(w\/((w*w**4)\/w)*w)\/(w**4*w) assuming w is positive.\nAnswer: w**(124\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1835823.\nAnswer: 3, 11, 55631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -71324, -71477, -71732, -72089, -72548?\n\"Answer: -51*a**2 - 71273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -65814 or -65812?\nAnswer: -65814","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 - -10 - (1 + 0) - 5. Solve -4*j + n*k - 4 = 0, j = 3*j + 3*k - 14 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1367*x**5 - x**4 + 29*x**3 + 53*x**2 - 18*x - 50 wrt x.\nAnswer: 82020*x**2 - 24*x + 174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 11 = 3*q, -q + 5*q + 5*z = -6. Let a be 12499\/(-18) - (q - -2). Let l = -1409\/2 - a. What is the common denominator of l and -31\/2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 5:50 AM?\nAnswer: 6:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -39688 or -39689?\nAnswer: -39689","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4235 - 2*x**2 - 1526 + 542 - 57*x + 57*x.\nAnswer: -2*x**2 - 5219","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the third derivative of j**4\/12 + 9*j**2. Let d(o) = -37*o. Give f(d(g)).\nAnswer: -74*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 - 40\/(-6)*(-390)\/(-25). What is the third derivative of t*h**2 - 92*h**2 - 13*h**3 + 36*h**4 + 3 - 38*h**4 wrt h?\nAnswer: -48*h - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 123\/62 + 0 + (4 - 6). Let w = y + -117\/434. Which is smaller: w or 699?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -18*a + 342. Let t be s(30). What is the common denominator of -17\/39 and -3 + (-2032)\/t - (-22)\/121?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10227 + -5678. Suppose -5*p = -2*b + 4*b - z, 4*b = 3*p - 2745. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 164234914?\nAnswer: 2, 853, 96269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/8 - 2967\/(-92). Let j = f + -22. What is the greatest common factor of j and 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74383.\nAnswer: 74383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -2*t + 316, 0 = 2*t - 6*t - n + 632. Is 44 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*f**3 - 121*f**3 + f**2 - 12*f**3 + (0*f**2 + 0*f**2 + f**2)*(0*f + f - 3*f).\nAnswer: -144*f**3 + f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 488\/5 - 98. Which is the third smallest value? (a) -2\/7 (b) 0.7 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 78000 = -o. What is o rounded to the nearest 10000?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from fuuu.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 238988077 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 9:10 PM?\nAnswer: 4:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 6\/1405, -8, -2\/17, 3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -26*p**2 - 3829*p + 652. What is d(-148)?\nAnswer: -2160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 e when three letters picked without replacement from eeeeeeefeeeeeeffefe?\nAnswer: 140\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-6 + 19) - -10\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 414*u + 7950 = -621*u - 22065 for u.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, -1, 10, 98, 78, -5.\nAnswer: -5, -1, 1, 4, 10, 78, 98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 - 6. Let v = 0.05 - -0.95. Which is the nearest to v? (a) -0.2 (b) n (c) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111*t + 674 + 1435 = 0 for t.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25511084.\nAnswer: 2, 17, 375163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {d: 5, y: 11}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1*(-826)\/1416*60\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 53422360?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -3 - -4 - 2 - 4\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.87 - 0.87. Let y = c - 1.5. What is the second smallest value in -2, 0.4, -14, y?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - -20100110?\nAnswer: 20100112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 214288, 857140, 1928570, 3428584, 5357188?\nAnswer: 7714388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -0*b - 20. Suppose -3*g + 23 = y, 3*y + 0*y = 4*g + 17. Let d = b + y. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1022402 - -2322233?\nAnswer: 3400140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from uuuuuuuuuuuuuuuuuquu.\nAnswer: 17\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5 + 7 + 3\/9*-21. Suppose -b + 40 = -i - 2*i, 2*i + 148 = 5*b. What are the prime factors of b - 4 - (-1 + q)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 175267623 is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3 - 1) + 26\/2. Suppose 4*n = 3*n + 5. Solve 0 = -0*u - n*u - j for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*y - 59*y = -231*y + 472 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 82*i + 44 = -84*i, -35 = -2*q - 5*i. Suppose 0 = -2*m + m + 1. Suppose -a = -2*a + m. What is the least common multiple of q and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109 = 6*t - 2*t - n, -5*t = -2*n - 134. Is 8 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 19 = 3*a, 2*a + 36 - 50 = 2*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1006413 to the power of 1\/2, to the nearest integer?\nAnswer: 1003","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -i. Suppose i = 4*g - 4. Solve -4*q - 8 = l + 10, 0 = -q - 3*l + g for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 + 76\/14)\/(1\/(-21)*-3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + 94516?\nAnswer: 94519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 - 3. Calculate the remainder when 58 is divided by 22 - 5\/(m\/4).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-2)*g*g)\/(g*g\/(g\/(g\/(g**(-2)*g))))*g*g*(g**4\/g)\/g*g**(-11) assuming g is positive.\nAnswer: g**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9 (base 10) to base 3.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4853 (base 11) in base 13?\nAnswer: 2b76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -795*y + 795*y + 8 + 76*y**2 + 19 with respect to y.\nAnswer: 152*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 123*g**2 + 1234*g - 137. Determine q(-10).\nAnswer: -177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 PM and 6:43 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 5*b. Solve 3*h = -4*y - 12, -2*h = -b*h - 2*y + 8 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 105*y - 8. Let a = -10 + 15. Is z(a) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 107.2 and -2.239.\nAnswer: 104.961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 602663216 to the nearest integer?\nAnswer: 24549","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 59 + -56. Suppose -14 = -4*t - r*t. Solve t*j - j = -1 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -258 + 257.6. Sort -0.3, 0.3, 2, z in ascending order.\nAnswer: z, -0.3, 0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of 2*i**4\/3 - 3*i**3 - 13*i**2. Let f be t(3). Suppose -22 - f = -k + 3*v, 5*k - 320 = -5*v. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of -u**3\/15 - u**2\/5 - 3. Suppose g(n) = 0. Calculate n.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2*90\/(-2)*50\/875. Let t(n) = -27*n - 402. Let v be t(-15). Let 3\/7*s**3 + 48\/7*s - v*s**2 - z = 0. Calculate s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4363 - 66 + 228*y - 933*y + 203*y - 1174*y with respect to y.\nAnswer: -1676","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 174361035.\nAnswer: 3, 5, 191, 60859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 40 and 96?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 4*k - 5. Let c(j) = -10*j**2 + j + 2. Let i be c(-1). Find the common denominator of 18\/11 and q(i).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -323204 - 300111?\nAnswer: -1123320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -56448*f*g*k**2 - 71*f*g + f*j - 2*g*j*k**2 + 48*g*j*k + 3*g*j - 4*j + 37*k wrt f.\nAnswer: -56448*g*k**2 - 71*g + j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0726 and 2.\nAnswer: 0.1452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -37.42103 rounded to the nearest integer?\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 5:20 AM?\nAnswer: 6:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 + -9 + 24 - -21) + -5?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 - 1. Let p be h(1). Let m be (36\/42)\/(3\/14). Sort 1, 5, p, m in decreasing order.\nAnswer: 5, m, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.152 - -3.848. Suppose -2*b = v - 10, 3*b - 2*v + 7*v = 8. Let o be (-9)\/b*4\/(-33). What is the biggest value in x, o, 2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 506 is divided by 51.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -34, -66, -96, -124?\n\"Answer: l**2 - 35*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72) - 2*sqrt(72)*1)**2 - -4*sqrt(8)*-1) + ((2*sqrt(192))\/sqrt(6) - ((sqrt(128)\/sqrt(4) - sqrt(32))**2*6 + sqrt(32))).\nAnswer: -4*sqrt(2) + 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 0 = 1, -3*a - 4*t + 3 + 18 = 1 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 451 (base 9) to base 14\nAnswer: 1c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -70 + 95 + -46 + (-36 - -39 - (2 + -1))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3851602*m**2 - 7054999*m wrt m?\nAnswer: 7703204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1324 - 1362. Which is smaller: -13\/4 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -19f4ae + 18?\nAnswer: -19f496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 z when two letters picked without replacement from fzhhhhhhhhhhhhhh.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 - 3*l**2 - 4*l. Let o(b) = -b**3 - 2*b**2 - 4*b. Let s(w) = -w**2 + 6*w - 12. Let m be s(3). Give m*o(z) + 2*d(z).\nAnswer: z**3 + 4*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dwwwwdd. Give prob of sequence ddd.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2, 4, -10, -1, -8.95?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -7607, 3, -2\/7 in descending order.\nAnswer: 3, -2\/7, -0.4, -7607","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are -382215 and -382049 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes after 4:59 PM?\nAnswer: 10:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1*(-10)\/5 + (-21)\/(-16) and -65\/2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 3\/289?\nAnswer: 3\/289","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -348, -3, 3, 5 in decreasing order.\nAnswer: 5, 3, -3, -348","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.1 + 0.1. Let d = 3.07 + -0.07. Put 3\/5, b, d in ascending order.\nAnswer: b, 3\/5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the first derivative of -j**2 - 625. Let k(s) be the third derivative of s**5\/12 - s**2. Calculate v(k(b)).\nAnswer: -10*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83 is divided by 32.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 106182, 105897, 105612, 105327, 105042, 104757?\n\"Answer: -285*f + 106467","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.01, -7, -0.1, -47, -4, -0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2832\/(-1342) - (140\/(-21) + 6). Let h be (15\/5)\/(1647\/(-6)). Let t = h + j. Calculate the common denominator of t and 29\/8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = s + 3 + 2, 12*s - 55 = -1132*f + 1131*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2092890 by 697630.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -236 = 15*s - 17*s. Does 63 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 9:10 PM?\nAnswer: 7:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(-3\/4)*g**(-3\/5)\/g)**(-41) assuming g is positive.\nAnswer: g**(-123\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the third derivative of l**5\/210 + 3*l**4\/28 - 20*l**2 + 10. Factor t(a).\nAnswer: 2*a*(a + 9)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16306, 65473, 147412, 262123, 409606, 589861, 802888?\nAnswer: 1048687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + 10 - (-6 + 0)*44. Solve 224 - a = 7*o for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -30771968*r + 4066304?\nAnswer: -30771968","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -3 + (sqrt(5) + sqrt(25)\/sqrt(5))**2 + -2 - (-3 + (sqrt(45))**2 + (sqrt(320) + 3)**2).\nAnswer: -354 - 48*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*x - 5*x - 12*x + 0*x.\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/(-4)*40\/12. Let j(m) = 2*m**3 - 3*m**2 - 5*m + 3. Let i(o) = -o**3 + 2*o**2 + 3*o - 2. Calculate s*i(z) - 3*j(z).\nAnswer: -z**3 - z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -24 + 34. Let a = c - 6. Calculate the lowest common multiple of a and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67343743 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 17*w + 1. Let n be d(1). Suppose -z - 5*h - n = -5, 5*h = -3*z - 9. Factor 4*j - 2*j**4 - 6*j + 4*j - z*j**3 + j**2 + j**2.\nAnswer: -2*j*(j - 1)*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5075*y**5 - 1435*y + 3 wrt y.\nAnswer: 101500*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6514881 + 487101.\nAnswer: -6027780","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -3*m**2 + 9*m + 2. Calculate t(5).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -221004*4\nAnswer: -884016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8165 - 5662 = -419*i for i.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of -1 - 18*o + 0*o**2 - 21\/10*o**5 - 3\/10*o**6 - 4*o**3 - 5*o**4. Find l such that d(l) = 0.\nAnswer: -2, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-7)*s)\/((s*(s*s**(-2\/19)*s*s*s*s)\/s*s*s*s)\/s)*s**(1\/5)*s\/(s\/(s\/s**(-6))))**(2\/103) assuming s is positive.\nAnswer: s**(-1082\/9785)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50 = -3*a - 30*v - 10*v, 63*v - 58*v + 19 = 5*a + 79 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -223*b**3*s - 952*b**2*n**3 + b**2*s + b*n**3 + 1354*b*n**2*s + b*s + 53*b - 2 wrt b.\nAnswer: -1338*b*s - 1904*n**3 + 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -228*r + 101 - 233 + 233*r + 132.\nAnswer: 5*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89 = -6*w - 247. Let i be (-28)\/w - (0 + 4\/6). What is the third smallest value in -0.09, i, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*-1 - (0 - 4). Suppose -22 = -l*c - 5*x, -3*c = -0*x - x + 8. Let g be (3\/(-6) - c)*8. Solve -2*d = g - 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -35*v**5 - 10175*v**4 - 690790*v**3 + 7075700*v**2 - 17715000*v + 4500000 = 0.\nAnswer: -150, 2\/7, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1596 - 1599.56. Put p, 2, -0.3 in ascending order.\nAnswer: p, -0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the second derivative of -d**4\/6 + 28*d**3 - 1764*d**2 + 3*d + 40. Factor q(g).\nAnswer: -2*(g - 42)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -5*y + 367, 3*y + 18 - 237 = -3*c. What is the units digit of y\/(-10)*(-80)\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 0*b**3 - 5 + 0*b**3 + 6*b**2 + b**3 + 4*b. Let f be s(-5). Suppose f*o = 5*o - 30. Solve -a + o = 2*z, 3 = -3*a + a + z for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2*2\/(-8))\/(21\/168).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 6, h: 4, b: 1, y: 4}. What is prob of sequence bhyy?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -50*m**2\/7 - 40*m\/7 - 8\/7 = 0.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 5:32 AM?\nAnswer: 2:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) + sqrt(117) + 4 + sqrt(117) + sqrt(117))*1*-5 + 2.\nAnswer: -60*sqrt(13) - 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9647\/78 - 743\/6. Let f = -132 + 2246\/17. Let q(g) = -g**3 - g**2 - 5. Let d be q(0). Which is the nearest to 0.1? (a) r (b) f (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1500463 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 438011, 876022, 1314033, 1752044?\n\"Answer: 438011*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2887665 a multiple of 85?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 4*l**2 + l + 2. Let n be g(-1). Let i be (-4 - (n + -5))*(-298)\/8. Let z(m) = -3*m**2 + i*m - 149*m. Let y(v) = 15*v. Determine z(y(q)).\nAnswer: -675*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 1153 = -5*d - 0*d, -912 = -4*d - f. What are the prime factors of d?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 65 - 45. Let o(j) = w - 26*j**3 - j**2 - 20. What is the units digit of o(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 4*a - 54 = 0, 2*p + 5*a + 8 - 37 = 0. Calculate the greatest common factor of p and 253.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n - 10 = 4*n. Solve o = -n*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * 644.\nAnswer: 1932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - 3. Let v be 4\/12 + q\/(-3). Suppose z + 3*r = 23, -z + 0*z + r + 7 = v. Solve 4*k + 1 = -z for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-20)*36)\/(5\/(-75)*-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6 + -6 - 12\/(-4). Suppose -3 = -0*c - c - 3*z, -l*c + z = 1. Let n = 8 + -6. Solve c*y + 2*y = -n for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the second derivative of j - 1\/12*j**4 - 1\/20*j**5 - j**2 + 0 - 1\/3*j**3. Let x(h) = h + 3. Let r be x(-5). Give k(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b - -6bd00?\nAnswer: 6bce4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/3)\/((-1244)\/50382)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a + 66 - 178 = 0. Let i = a - 16. Factor 0*o**2 + 0 + 0*o**3 - 2\/7*o**5 + 0*o**4 + i*o.\nAnswer: -2*o**5\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36 and 156.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -22\/7? (a) 0.3 (b) -0.4 (c) -44 (d) 151 (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13, 33, 67, 115, 177, 253, 343?\nAnswer: 447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125*o + 126*o + 137 = 0. Let g = -132 - o. What is the units digit of g\/90*6*843?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 179.7423 minutes to nanoseconds.\nAnswer: 10784538000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 11*t**2 - 8*t + 25. Let c(i) = -i**2 + 2*i - 24. What is -4*c(d) - q(d)?\nAnswer: -7*d**2 + 71","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 + 9*b**2 - 2*b - 6. Let o be n(5). Suppose -x - 248 - o = -5*d, 0 = -5*x + 15. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13\/6 - 23\/12. Let q(u) = -4*u - 1. Let x be q(-4). Let v be ((-9)\/x)\/(-3)*1. What is the closest to 0 in v, -5\/3, f?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115 - 125 = 20*l. Let n = -32 - -69. Let y = 32 - n. Put l, 0.4, y in ascending order.\nAnswer: l, y, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 4, l: 16}. Give prob of picking 2 s and 1 l.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6505*a + 31 = 6496*a - 23 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*z + 4*z + 2*z)*(0*z - 4*z + 3*z + (4 + 1 - 3)*(-5*z + 5*z + z)).\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -236*o + 244*o - 5712. Let w = o + -168. Is w a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 - 6. Solve -2*i = s*i + 15 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2.8 <= -3\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 8285?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + 4. Let z(b) = b**3 - 2 + 9*b**2 - 12*b - 5 + t*b**2 - 2*b**3. Let i be z(13). What is the highest common factor of 15 and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -926.4 - -922.4. What is the closest to -79 in 3, i, 0?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 12? (a) -3\/2 (b) -4 (c) 2 (d) 62 (e) -12.7 (f) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2*((-14)\/6)\/(-7). Let t = 0 + 1. Let k be (4\/(-2))\/(t\/2). What is the nearest to k in 5, -2, l?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01019561 to 4 dps.\nAnswer: -0.0102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6822051\/370 + 18438. Is z less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 845 = 5*q + 215, 630 = -5*j - q. Let l = j - -128. Let y be 1\/(-2)*-62 + 0. Solve -l*m - m = 4*h - y, -3*h - m = -17 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*r - 75*r = -220. Calculate the remainder when 173 is divided by r.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -1 + 4*((sqrt(180)\/sqrt(4))\/sqrt(9) - sqrt(5) - sqrt(5)) + ((5*sqrt(440))\/sqrt(11))\/sqrt(8) + -5.\nAnswer: -2 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1000011110111011 (base 2) to base 5\nAnswer: 2102442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -6077800 to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-12)*2*(-1)\/2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15 - 17 - 12 + 64 - 9246*b - 18 to the form u*b + q and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 36719437 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 4*r - 120 = 0, 2*t - 94 + 24 = 4*r. Solve -5*z + 2*k = t, 5*z + 5*k = -0*z - 25 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (45\/(-9))\/(3\/((-18)\/(-2)))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -201*r + 1688 - 80 = 0. Solve 15*z - 92 = -r*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 1 - 2 = 0. Suppose m = 5*r - 32, -13 - 5 = -k*r + m. Let b(g) = g - 2. What are the prime factors of b(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 31.62382 centimeters?\nAnswer: 0.0003162382","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -2*q**2 - 5*q - 17. Let p be t(-5). Is p equal to -83\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.4, -3, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -81, -515, -1701, -4017, -7841, -13551?\n\"Answer: -63*s**3 + 2*s**2 + s - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the second derivative of 0 + 0*f**3 + 0*f**2 + 1\/12*f**4 + 4*f. Let x(q) = 3*q**2. Determine o(x(a)).\nAnswer: 9*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.13 - -0.1308. Round j to 3 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 235.948 in -2, 2, 6, 5?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 34971?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2, -99, -270, -521, -858, -1287, -1814?\n\"Answer: -t**3 - 31*t**2 + 3*t + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2039452 is divided by 10622?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, 4, -485, -2, -7 in descending order.\nAnswer: 4, 0, -2, -5, -7, -485","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 + 19*g + 86. Let l be (-5)\/(35\/84) + 0\/2. Let v be h(l). Let p(r) = 2*r**2 - 3*r + 3. Calculate p(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {g: 1, m: 4, x: 3}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 3*k - 3 = 0, 0 = 4*p + k - 4*k + 3. Suppose -2*g = -p*g. Factor -2\/5*n + g + 0*n**2 + 2\/5*n**3.\nAnswer: 2*n*(n - 1)*(n + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 572 = -19*f - 5299. Let i = 309 + f. Suppose x + 2*h = 3*x - 10, -4*h - 14 = -2*x. Solve s = -i*s + x for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 + 4*q + 6. Let b be o(-4). Let n = b + -4. Suppose -16 = -n*g - 2*g. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4008*k - 3497*k - 4386*k + 176*k to the form n*k + c and give n.\nAnswer: -11715","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/21)\/((-71422)\/(-19229)).\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 6191961.\nAnswer: 4\/6191961","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4452 is divided by 1470?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 5*q - 550, -q + 47 + 40 = 5*c. Suppose f + 5*w + 22 = 0, 2*f - 2*w = f - 1. Does 7 divide (-1)\/f - -6*1304\/q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 - s**2 - s. Let x(n) = -10*n**3 - 6*n**2 - 3*n. Let h(v) = 6*l(v) - 2*x(v). What is the third derivative of h(b) wrt b?\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 9*w + 7. Let b(a) = 11*a + 9. Determine 4*b(p) - 5*x(p).\nAnswer: -p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1446581345, -1446581344, -1446581343, -1446581342?\n\"Answer: h - 1446581346","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000 + 1101110100110010111111010?\nAnswer: 1101110100110010111110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of -f**3\/6 - 9559*f. Let r(g) = 42*g + 125. Calculate x(r(p)).\nAnswer: -42*p - 125","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-12)\/21 + 1 + 18\/7. Suppose 5*m + 2*d - 300 = 0, -p*d - 2*d = -25. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 5*k + 19. Is r(14) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2736000 to the nearest one hundred thousand.\nAnswer: 2700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1*1 - (-3 - 3). Let s be (-1)\/2*(-2)\/o. Let g = -369 - -369.05. Which is the nearest to -0.1? (a) s (b) g (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 368*a**2 - 19*a - 18. Give p(-1).\nAnswer: 369","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*y + 3*y - 512*y**2 - 7135*y**2.\nAnswer: -7647*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -5*r. Let s(l) = -4*l + 1. Calculate -4*b(f) + 3*s(f).\nAnswer: 8*f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27524848*y**3 - 7*y + y + 6*y.\nAnswer: -27524848*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add -677.08119 and -21.\nAnswer: -698.08119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q*q\/q**10)\/(q**(2\/7)*q))**(-19\/6)\/(((q\/(q*q**(1\/6)*q))\/q**(-5\/2))\/(q**(-2)*(q\/q**(-5\/4))\/q)) assuming q is positive.\nAnswer: q**(2029\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3475995750 and 90.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 3*a + 24 = 0, 0 = 2*j + a - 0*a - 13. What is the remainder when 35 is divided by j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5 + 5)*(-2*v**4 - v**4 + v**4) - 31*v**4 - 327*v + 327*v.\nAnswer: -33*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the third derivative of v**7\/945 + v**6\/180 - 239*v**5\/270 - v**4\/36 + 238*v**3\/27 - 6152*v**2. Let m(q) = 0. Calculate q.\nAnswer: -17, -1, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - k = -26, 5*t - 6*k + 9*k = 130. Let u = t - 24. Suppose 0 = -2*d - 2*r + 2, u*r - 15 = 5*d + 1. Put d, -10, 2 in increasing order.\nAnswer: -10, d, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 464 is divided by 118?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 (base 3) in base 14?\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 363?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -1137*m + 2. Let n(v) = 575*v - 1. Give 7*n(t) + 3*u(t).\nAnswer: 614*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 41185991?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/30 - (-20376)\/(-1080).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 597690?\nAnswer: 2, 3, 5, 29, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 78 and 44479214?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.072458703 rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52 = -18*u + 2 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 3308 = -5*b + 5*l, -1968 = -3*b - 4*l. List the prime factors of b.\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.2 - 0.23. Let w = -0.04 - h. Let d = -0.009996 - w. Round d to five decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.75*0.17\nAnswer: -0.2975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:16 AM and 11:47 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -14588 divided by -2084\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 + 2*h**2 - 2*h + 2. Let u(b) = 4*b**3 - 4401*b**2 + 10*b - 10. Give 5*j(l) + u(l).\nAnswer: -l**3 - 4391*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 345 and 93955?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8ba1 (base 12) to base 11.\nAnswer: 10738","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81 = -51*p + 489 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 9476 = 5*v + 892, 25920 = 5*p - 2*v. Is p a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5070 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 145 = -13*b, 0 = i + 5*b + 47 - 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nkcrpnp. Give prob of sequence nn.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*q - 3*q. Let i(h) = -h + 5. Let v be i(5). What is the second derivative of 3*m**3 - m + q*m + v*m wrt m?\nAnswer: 18*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-88)*14)\/(17833\/(-71332)).\nAnswer: 42\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 37?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -26*j + 55. Let c(u) = -5*u + 11. Let z(h) = -22*c(h) + 4*n(h). Suppose -31*i = -43*i + 156. Does 12 divide z(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1*-2*(-4)\/(-16)*0. Let n be -12 + 4 + (0 - -4). Sort b, -2, n in descending order.\nAnswer: b, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.03 in -22, -0.3, 2812, -0.5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 132188 and 47210.\nAnswer: 660940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 2*c**3 - 3*c**2 + 1. Let s be a(2). Suppose 5*i + 0*m - 19 = -2*m, -s*m + 10 = 0. Sort -1\/4, -2, i in decreasing order.\nAnswer: i, -1\/4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2999 + -2395. What is the least common multiple of x and 8?\nAnswer: 1208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 + 20*r**2 - 44*r - 1482. Give o(-18).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + 2227?\nAnswer: 2239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/50 of a centimeter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8493\/10 - -845. Let v = -62175\/14 + 4443. What is the common denominator of v and w?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28256 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*q**2 + 2721*q + 4095.\nAnswer: -3*(q - 455)*(2*q + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + sqrt(34)\/sqrt(2))*-2)**2.\nAnswer: -32*sqrt(17) + 132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/(-10) + (-9 - 1104\/(-115))?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9.7 - -9. Let q = f - 2.3. Sort 5, 0.2, q in decreasing order.\nAnswer: 5, 0.2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.09? (a) 192 (b) 3 (c) -0.4 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uf when two letters picked without replacement from iuxqigffg?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-6)*(-8)\/14?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*v - 23 - 13 = 0. What is the greatest common factor of v and 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/13 (b) -69 (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 5*y = -43, x + y - 59 = -4*x. Suppose 0 = -3*l - 45*c + 44*c + 357, 2*l + 2*c = 234. What is the least common multiple of l and x?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qoqq. What is prob of sequence oqq?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(252)*1 + sqrt(252))\/sqrt(9))\/(sqrt(512)\/sqrt(2)) + 4)**2*4.\nAnswer: 8*sqrt(7) + 263\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 2*v**2. Let a(z) be the first derivative of z**3\/3 + 31*z + 378. Determine y(a(w)).\nAnswer: 2*w**4 + 124*w**2 + 1922","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 85 - 56. Let s = 43 - x. Suppose 3*y + 5401 = s*y. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 126059 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(34)*3)\/sqrt(2))**2*4.\nAnswer: 612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 15 + (5 + (1 - 3) + -19 - (-7 - -2))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1509.\nAnswer: 3, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-11)*6*(-154)\/(-1176).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 281384.55 months to years.\nAnswer: 23448.7125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -41132, -82427, -123722, -165017, -206312, -247607?\nAnswer: -288902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**3 - 24*w**2 - 100*w - 21. Give b(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 + 6*g**2 - 10*g + 64. Let c be a(5). Suppose -15*v = -c*v. Solve 5*q + t - 18 = v, -2*t = -6*q + 9*q - 15 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 994 - 478 - 516 - 6*w**2.\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/12? (a) 4 (b) -1 (c) -17 (d) -2 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.577865362 minus 0.4?\nAnswer: 0.177865362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 + -4 - 1) + -27 + 5 - -5?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 190*g - 1110. Let c be u(6). Solve 358*f = 352*f - c for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5 - -13 - (-6 - 0). Suppose -l - x*l = -7750. What are the prime factors of l?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30054596 and 264.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -253 + -61?\nAnswer: -2b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/4 and 47\/14269.\nAnswer: 57076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**2 - g + 2. What is y(-4)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 92.8267 - 163.0868. Let m = 54.25988 + f. Let n = -16 - m. Round n to 4 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -6*d + 1. Let s(i) be the third derivative of 5*i**4\/24 - i**3\/6 - 17*i**2. Give 5*s(n) + 4*x(n).\nAnswer: n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -44 - -41. Let h = 0.2 - -0.8. Let u = -1 + h. What is the closest to u in 2, 0.1, d?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -10167 - 262?\nAnswer: -10451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + -6810566?\nAnswer: -6810563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*v**2 + 3*v**2 - 2*v**2)*(-2*v + 3*v + 2*v)*(0 - 3 - 4) to h*v**3 + y*v + a + f*v**2 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 11001110010 (base 2) in base 15?\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -6*i**2 - i + 1. Let j be m(2). Let u be 4 + 0\/2 + j. Let q = -18 - u. Solve s + 2 + q = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) -3\/5 (c) -1439\/6 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 97*h + 8*h - 177*h + 117*h.\nAnswer: 45*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the first derivative of -11*n**3\/3 - 10*n**2 + 23*n + 6. Let p be w(-10). Is p*(-1)\/(-3)*-3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*s - 17 = 36*s + 3*q, 26 = -s - 4*q. Solve 5*y = 2*u - 8, -s = -12*u + 16*u - y for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 253778.\nAnswer: 2, 7, 18127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*q + 2*t - 40 = -10*q - 3*t, 5*q + t = -27 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*y + 12*y - 15*y in the form t*y + d and give t.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46127788 is divided by 627?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 + 21 + 5*a**3 - 2*a - 8*a**3 + 5*a**3 in the form x*a**2 + w*a + n*a**3 + k and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 39*l**3 + 2*l**2 + 2*l + 9. Let h(y) = 274*y**3 + 15*y**2 + 15*y + 65. Determine 2*h(d) - 15*m(d).\nAnswer: -37*d**3 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -77*k - 42. Let o(t) = 9*t + 5. Let q(f) = f**3 - 8*f**2 + 5*f + 2. Let p be q(8). What is p*o(u) + 5*h(u)?\nAnswer: -7*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) 86\/151 (b) -0.1 (c) 0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 23.0192064 and 5?\nAnswer: 115.096032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-3) + 1 - (-156)\/36. Suppose d + i = 5*j, -d + 6*d = -4*j + 9. Suppose y - 3 = 0, h - 26 - 11 = y. Sort 3, d, h, -3 in ascending order.\nAnswer: -3, d, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2 - 6*d**2 + 3*d**2. Let l(x) = -x**2 - x + 99. Let r be l(0). Let c(j) = -r - j + 99. What is c(u(s))?\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36 and 396.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2 + g + 35. Is d(6) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -5*h + 5. Let t(w) = 2 + 2 - 5*w - 3 + 4*w. Give 4*d(k) - 22*t(k).\nAnswer: 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 29261436 by 2438453.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -24.2 + 13.2. What is the fifth biggest value in 4, -1\/2, -1, f, 3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tytrqrtqyqyytyrqrrtr. What is prob of sequence yqr?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -628.642632 to one dp.\nAnswer: -628.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 725 by -6.\nAnswer: -725\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**7*c)**(-30)*c\/(c*c**(-3\/4))*c**(-3) assuming c is positive.\nAnswer: c**(-969\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, p: 1, o: 11}. Give prob of sequence mp.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 + 6*n**2 + 3*n - 12. Let h(w) = -3*w - 6. Let y be h(-7). Let p be q(y). Let x = 3031 + p. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 14*c**2 + 11*c + 10. What are the prime factors of u(-1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + t - 2*t + 1909 = 0, -4*a - 2*t + 7644 = 0. Let q be (-5 + 4 - (4 - 2)) + a. Round q to the nearest one hundred.\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.0108 - -3.9892. What is the nearest to -2\/3 in 0.4, l, 0.1, 0.11?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 152 and 114?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2164275 to the power of 1\/2, to the nearest integer?\nAnswer: 1471","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -932*y - 46608. Determine t(-50).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 0.02 (c) 2.14 (d) 3\/449\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-25164)\/(-48) - (0 + 3\/(-4)).\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32 + (272 - 281) + 16 + 1.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 50*p**3 + 3*p**2 - 2*p + 15. Let y(t) = 17*t**3 + t**2 - t + 2. Calculate w(l) - 5*y(l).\nAnswer: -35*l**3 - 2*l**2 + 3*l + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence giq when three letters picked without replacement from {i: 2, g: 5, q: 5}.\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -96556, -386235, -869034, -1544953, -2413992, -3476151?\n\"Answer: -96560*j**2 + j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*w**3 - 267*w**3 + 54*w**3 + 169*w**3.\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 13 = -4*w. Solve w*v + 11 = n, -2*n = v + 4*v + 22 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 7*z + 2. Let p(t) = -3*t - 1. Let f(a) = -9*p(a) - 4*q(a). Let y be (-4)\/8 - (-1370)\/4. Let s = y - 336. Calculate f(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124*v + 168 = 132*v. Sort 3, v, -4.\nAnswer: -4, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/388 and 51\/13676.\nAnswer: 1326572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 837804 + -837803. Let k(p) = -p - 1. Let z = 1 + -4. Let x(c) = -2*c**3 - 2*c + 3. Determine r*x(s) + z*k(s).\nAnswer: -2*s**3 + s + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2 + 59*a - 81. Give k(-62).\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 - 3*u + 6)*(8*u + 39*u + 23*u).\nAnswer: -210*u**2 + 70*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -21*3\/15 + (-2)\/(-10). What is the tens digit of (-240)\/c + 4\/(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1 (b) 9 (c) -8 (d) -2 (e) -2\/19\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -828*m**3 + 1636*m**3 - 817*m**3.\nAnswer: -9*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -g - 73*g**4 + 1 + 2*g**3 - 68*g**4 - g**2 + 144*g**4 as k*g**2 + p*g**3 + i*g + o + r*g**4 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the first derivative of -s**8\/2240 + s**7\/280 - s**6\/160 - 11*s**3 - 8. Let p(h) be the third derivative of w(h). Suppose p(u) = 0. What is u?\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -8 + 5 + 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*2 - (-26 + 20). Let t(u) = -u**2 + 18*u - 71. Let k be t(c). Solve -38*v = -35*v + k for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, -54 in decreasing order.\nAnswer: 1, 0, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 43 + -56. Is -14 bigger than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5293924 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + -6. Let u(t) = -3*t**2 - 22*t - 2. Let p be u(m). Suppose 3*k + 3*f = p*f + 54, -5*f + 115 = 5*k. Solve 2*x + 3*x = k for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1856713 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.409 and 97.38.\nAnswer: -39.82842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -2*i + 142 + 42, 0 = 2*i - 5*o - 175. Let m(n) = -3*n**3 + 13*n**2 - 5*n + 14. Let p be m(4). Calculate the greatest common divisor of i and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*a**2 - a**2 - 2*a**2)*(-2629 + 1315 + 13*a**2 + 1336) as b*a + r*a**3 + y*a**2 + c + p*a**4 and give p.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -4*m**2 - m - 1. Suppose -2*j = -j - 5. Suppose 3*g - 5 = u + j*g, 0 = 5*g + 20. Suppose -5*i + 4*x = -u, -5*i = -5*x - 2 - 3. Determine l(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the third derivative of -n**5\/60 + n**4\/12 - n**3\/6 - 2*n**2. Suppose 37 = 7*t + 9. Give l(t).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) 1 (c) 0 (d) -5.7 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 + 5.9. Let g = -0.3 - -0.1. Which is smaller: m or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 5 = 3. Suppose -4*o = j + 13, 2*j - j = o + 7. Suppose 0 = 2*r + 4*a - 14, -j*r + r - 4 = -5*a. Calculate the remainder when r is divided by l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -7\/3, 4, 1, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 13678791, 13678786, 13678777, 13678764, 13678747, 13678726, 13678701?\n\"Answer: -2*y**2 + y + 13678792","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*t = -19*t. Solve -2*m + 3*u = 7, t = -4*m - 2*u - 0*u - 6 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(16)\/(sqrt(4) - sqrt(64)))\/sqrt(2).\nAnswer: -sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - -1 - 12) + -67 + 76.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 172 = -0*d + 4*d. Let j = d - 45. Let x be 1\/(-4)*-38*j. Sort 4, x, -3.\nAnswer: x, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.01 in -1\/4, -3, 0, 31?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.14 - 0.04. What is b rounded to one dp?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 575940 to the nearest integer?\nAnswer: 759","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -12 - 1.6\nAnswer: -13.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o**(3\/11)*o)*o)\/o**38)\/(o\/o**(-14\/9)*o\/(o\/(o\/(o*o**(-12))*o))*o) assuming o is positive.\nAnswer: o**(-5329\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -146.4 + 186.4. What is the nearest to 1 in i, 4, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -2*z**2 + 17*z + 8. Suppose 0 = -a + 4*f + 13, -7 = 86*a - 87*a - 2*f. Give c(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + s + 31 = -52, 5*s + 129 = 4*t. Let b be -9*3\/(-9) + t. Suppose -2*q = -2, 0*m - 2*m - 5*q + b = 0. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 560468989 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6970*p**4 - 6*p**2 - 1732?\nAnswer: 167280*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.112903 * 3.\nAnswer: -0.338709","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 1 + (513 - 1016 + 467)*(-12 + 2 + 5))*(-i + i - i).\nAnswer: -182*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 3*a**3. Let i be (4\/10)\/(4\/160). Let w(l) = i*l**3 - 3 + 2 + 1. What is -6*w(t) + 33*y(t)?\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16418567.\nAnswer: 11, 1492597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 11*a - 12*a**2 - 1187 - 427 - 526 + 920 - 3077 wrt a.\nAnswer: -24*a + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-5)*(-20)\/(-26)*1794\/17112.\nAnswer: 4\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5378027?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 3*q**5 + 831*q**4 + 79266*q**3 + 3174900*q**2 + 44745000*q - 48000000 = 0.\nAnswer: -128, -50, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of n**7\/420 + n**4\/6 - 2*n**3 + 1. Let s(z) be the third derivative of j(z). What is the first derivative of s(o) wrt o?\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**2 + 5*a. Let y be h(4). Let k(j) = -19*j**2 - j + 1. Let b be k(1). Let q be b\/21 + y + -3. Is q > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 19\/31366563 or 0?\nAnswer: 19\/31366563","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = 4*s - 5*a - 11, 0 = -5*s - 4*a + 24. Let r(k) be the first derivative of -3*k**2\/2 + 3*k + 2. What is r(s)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 6*g = g + 755, 0 = 4*m - g - 1045. Let w = -154 + 157. Suppose 781 = w*u - 2*z + 6*z, 0 = -u - z + m. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.6 + -3. Let f = 7.4 + q. Let y = -0.2364 - -0.0364. Is f at least y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-57*52\/(-24))\/((-2)\/4). Let o = l + 426. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -35 - -205. Suppose -4*y = -x - 562. Let q = y + -108. Is q a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -790 and -0.4.\nAnswer: 316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 231 + 3*q**3 - 231.\nAnswer: 3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -2*j**2 - 6*j - 1. Let m(z) = 5*z**3 - 3*z**2 + 6*z - 118. Give m(u) + n(u).\nAnswer: 5*u**3 - 5*u**2 - 119","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 11 = 4*u + 6, i = 4*u + 13 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 460501224 by -57562653.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l**2 - 35*l + 15*l + 6*l**2 - 27*l.\nAnswer: 5*l**2 - 47*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 298902554.\nAnswer: 2, 163, 916879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 - i**2 + 2*i - 3. Let w be l(2). Solve w*v + 27 + 3 = -5*n, -4*n + 4*v - 8 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j - 4. Let c be v(0). Let g(k) be the first derivative of k**3\/3 + 3*k**2\/2 + k - 4. List the prime factors of g(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 + 6*u - 1. Let d be h(-7). Suppose 4*s + d = -10. Sort 4, s, -3 in descending order.\nAnswer: 4, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 110 - 116. Let l be 2*(-1 - 15\/r). Suppose -46 = -l*b + 11. Solve -5*i - z = -i + b, -5*i - 28 = -3*z for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1254*s + 2719*s + 12071*s.\nAnswer: 13536*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*h + 18*h - 11*h + (-38 + 18 + 5)*(-2*h + 5*h - h) as a*h + p and give a.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -36*o + 35*o + b, -b + 1 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h - h - h)*(1 + 27 - 28 + 3167*h) + 3*h**2 + 3*h**2 - 5*h**2 + (0*h - 4*h + 3*h)*(h + h - 3*h).\nAnswer: 3169*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 7\/2 + (39\/(-6) - -7)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*m + 5*m + 4992 - 13196.\nAnswer: 3*m - 8204","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01131446498 to 6 dps.\nAnswer: 0.011314","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -5*w + 3. Let h be t(1). Let k = -1 - -4. Let a(l) = 2*l**3 + 5*l**2 + 2. Let j be a(-3). What is the closest to 0.1 in j, k, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 - b + (-b - b + 4*b)*(-1 - 1 + 0) - b - 2*b + 2*b + b + 4*b - 4*b - 171*b - 815*b + 1176*b + 1212*b + 851*b.\nAnswer: 2248*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 870*h - 15232 = 1958*h for h.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 58\/30 - (12 + -10). Let g = 23.445 + -21.445. What is the nearest to b in g, 1\/6, 1?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9\/124 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q**2 + 9 - 9)*(q**3 + 0*q**3 - 2*q**3 + (-q**3 - 3*q**3 + 3*q**3)*(8 - 2 + 1)).\nAnswer: 24*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 11*i**2 + 18*i - 299. Calculate o(-6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-33)\/(-66) - (-2)\/(-4). Suppose -u + 483 - 491 = c. Let b(o) be the first derivative of -o**3\/3 - 4*o**2 + 5*o - 1. Determine b(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(1 + (0\/(-1) - 4))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -18 and -8598774?\nAnswer: 154777932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*u + 58*u + 3*o = -25, 4*o = -20 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 - 1)*((1 - 1 + 1)*(-2 - 2*n + 2) + 4*n - 4*n - 4*n) in the form j + m*n and give m.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-186 + 221 + -31)\/(1 + -1 + 4)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 3*v + 3 = -0*n, 4*v - 21 = -n. Suppose -7*f = -n*f - 46. List the prime factors of f.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 h when two letters picked without replacement from ekkkkkkhek.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 + 10. Let b(u) = -u**2 + 8*u - 8. Let i be b(7). Let j be i\/2 + 39\/(-14) - -3. What is the closest to 0 in j, y, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 4*s - 48 = 0. Let d be 272\/s - (-8)\/(-12). Let y = -2 - -4. Solve -3*k - y - 9 = -p, -2*k - d = 3*p for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4*1\/6)\/(6\/(-45)). Suppose 0 = -2*o + 2*g + 18, g - 66 = -5*o - 3. Solve -m = i*m - o for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 248624 and 82?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -3915095?\nAnswer: 3915094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 84 * 647.\nAnswer: 54348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 90 = z. Calculate the smallest common multiple of 7 - (-27)\/(-6)*(-1166)\/33 and z.\nAnswer: 1494","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 + 39*c - 68. Let o(d) = -2*d**3 + 80*d - 136. Let k(v) = -5*f(v) + 2*o(v). Differentiate k(y) wrt y.\nAnswer: 3*y**2 - 35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from {b: 1, t: 1, n: 13}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8858506, -8858507, -8858508, -8858509?\nAnswer: -8858510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -3*b - n + 3, 3*b - 12 = -3*n. Suppose -2 = m - b. Let i(c) = -5*c + 1. Determine i(m).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 365884955.\nAnswer: 5, 73176991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(189)\/sqrt(7)*-1*-5)\/(sqrt(1089) - 4*(((1*sqrt(1089) - sqrt(1089)) + sqrt(1089) + sqrt(1089) - sqrt(1089)) + sqrt(1089))).\nAnswer: -5*sqrt(3)\/77 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of -2\/3*m**3 + 0*m**2 + 0*m**5 - 1\/5*m**6 + 0*m**4 + 0 + 3*m. Find the second derivative of f(j) wrt j.\nAnswer: -72*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4686512 times 0.5?\nAnswer: -2343256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 4*g**2 - 3*g - 2. Let x be (8\/3)\/((-6)\/(-9)). Suppose 2 = l, -x*l + 0*l = -5*s + 52. What is the least common multiple of s and y(-2)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*w - 177 - 2*w + 4*w - 4*w.\nAnswer: 3*w - 177","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -352 + 107 - 88*d**2 - d**3 + 46*d**2 + 43*d**2 to the form q*d**3 + v*d + u*d**2 + t and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-65)\/39*9\/(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 142 and 5453.\nAnswer: 5595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -33*x**2. Let u(m) be the third derivative of m**6\/120 + 217*m**4\/24 - 229*m**2. Let w(i) be the second derivative of u(i). Determine w(b(a)).\nAnswer: -198*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*a*p*r**5 + 25*a*p*r**2 - 1298*a*r**4 + a*r**2 - 28*a*r - 3*p*r**2 wrt r.\nAnswer: 540*a*p*r**2 - 31152*a*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2813225559 to the power of 1\/2, to the nearest integer?\nAnswer: 53040","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117309 is divided by 2300?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**3\/4 - 302510169*d**2\/4 + 1906508344444740*d + 1906508420072283.\nAnswer: 3*(d - 50418362)**2*(d + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23857829.\nAnswer: 67, 97, 3671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 7552 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - h**2)*((-927 + 56*h + 927)*(0*h**2 - h**2 - h**2) + (h + h - h)*(5*h**2 - 3*h**2 - 3*h**2)).\nAnswer: 113*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6\/8)\/(34\/136). Suppose 0 = -0*z + w*z - 12. Is 26\/7 less than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -10, 2, 14?\n\"Answer: 12*v - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3648506?\nAnswer: 2, 17, 107309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of y**5 + 44*y**4 + 5*y + 6 wrt y?\nAnswer: 20*y**3 + 528*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 62638341 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 28*p**3 + 19*p**3 + 6037 - 6039 + (0*p + p - 2*p)*(-3*p + 2*p**2 + 3*p).\nAnswer: 45*p**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 4*t**2 - 8*t - 3. Let k(y) = 13*y**2 - 24*y - 10. Suppose -p + 423 - 425 = 0. Calculate p*k(z) + 7*u(z).\nAnswer: 2*z**2 - 8*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/(-24)*195\/26.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 81*r**2 + r. Let o(k) = k + 0*k - 3*k. Determine n(o(w)).\nAnswer: 324*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2696370403 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 803.5292572 to the nearest one hundred.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 15836852 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -814 + 1089 + 1177 = 44*b. Let h(g) = 0 + g**2 - g + 9 + 8*g. What is the smallest common multiple of b and h(-7)?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12da70 (base 15) to base 11\nAnswer: 56a374","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -144*q. Let w(v) = -22*v. Let a(f) = 5*b(f) - 32*w(f). Let c(u) = -162*u. Give c(a(s)).\nAnswer: 2592*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -30 - 3788?\nAnswer: -3818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-60) - 5*(-4)\/(-120)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 179 - 2*m**2 - 154 + 6*m**2 + 11*m. Does 18 divide s(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 31176178 = -2*i + 150723828, 4*i - 363799991 = -3*j. Round i to the nearest 1000000.\nAnswer: 91000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -199\/24382680 and -127\/26820948.\nAnswer: 268209480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u - 9 = -25. Suppose -p + 115 = 3*g - 36, u*p = -5*g + 252. Is (-33)\/(g\/(-15) + 3) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8\/6 + 6\/9. Let c = -13 + 18. Suppose 0*k - c = -5*k. Sort k, -4, j.\nAnswer: -4, k, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -51880 by -10376.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1 (b) -0.1 (c) 47\/6 (d) 0.28\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1307 is divided by 793?\nAnswer: 514","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5466?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1750 and 0.142?\nAnswer: -248.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -54\/11 and -23\/9.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the second derivative of c**3\/3 + 13*c**2\/2 - 5*c. Let i be w(-5). Is (-8)\/(-12) + 331\/i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*p**2 - p - 2*p**2 - 4*p**4 - 2*p**4 + 0*p**2 as q*p**4 + d*p**3 + t*p**2 + g + j*p and give q.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15 and 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 2*y + 2547 = 2538, 165*t = -2*y - 382 - 119 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6944 and 1023.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 962, -0.02, 3 in ascending order.\nAnswer: -0.02, 1, 3, 962","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -706061630*d**5 + 39172*d**2 + 5935.\nAnswer: -42363697800*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-10)*((-135)\/9)\/(-30).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-100)\/(-18) + 50\/15*-3\nAnswer: -40\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 392096663?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -10*t**2 - 3. Let m be z(3). Let b = m + 95. Factor k - 1\/3*k**b + 0.\nAnswer: -k*(k - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 13\/3, 106819, 0.155?\nAnswer: 106819","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - (-6 + (8 - 8)) - 2) + -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 787*a*k**2 + 2*a*k - a - 464*k - 3 wrt k.\nAnswer: 1574*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w + 16. Let h(p) = 17. Calculate 2*b(y) - 3*h(y).\nAnswer: -2*y - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 6\/4*-1*(-210)\/(-45)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -451*j + 449*j - 14 = 0 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4799 + 9002. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (4 - -1) + -6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -4 + 8*a - a**3 - 6*a**2 + 6*a - 7*a. Let z(l) = 3*l + 5. Let d be z(-4). Let m be g(d). What is the second biggest value in -1, m, 3\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 5286 = 3*v - 5269, v - 49 = -12*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 213174 and 142116?\nAnswer: 426348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1200 is divided by 52.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 344*k - 340*k + 10455 = -183*k - 428*k for k.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = 4*f + 11, -u + f + 337 = 333 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k = 5*j + 112, -5*k + 2*j = 8*k - 21*k - 192 for k.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 149 is divided by 18?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37 is divided by (-14)\/49 + 279\/21.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2277 and 132?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2136759973 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4090 a factor of 1348242687?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*x + 1839 - 1728 = 0. Which is the nearest to -0.2? (a) -5 (b) x (c) 24 (d) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1945, 1094, -1211, -5696, -13087, -24110, -39491, -59956?\nAnswer: -86231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 - 16*l - 81. Let q be x(-5). Which is bigger: q or 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5077 + -5076.6. Sort -5, -0.3, -0.039, x, -3 in descending order.\nAnswer: x, -0.039, -0.3, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 843254?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 150 and 135?\nAnswer: 1350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000464326 rounded to six dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 312*f**3 + 125*f**2 - 125*f**2 + 0)*(-7*f + f + 2*f)*(3 + 6 - 11).\nAnswer: -2496*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 + 17*p**2 + 20. Calculate the remainder when 59 is divided by t(-17).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (18\/(-4) + 2)*(-1 - 2973) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 5 + 6 + (-17 - -12)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 534281?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 64 and 284224?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 923?\nAnswer: 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-73*a + 7*a + 20*a)*(-1 + 5 + 15) + (0 - 2 + 4)*(-7*a + 0*a + 2*a) in the form c*a + i and give c.\nAnswer: -884","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1902 divided by -6.\nAnswer: -317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 z when two letters picked without replacement from {p: 1, z: 1, r: 1, t: 1, b: 1, x: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2\/3 + 511012*r\/3 - 65283316036\/3.\nAnswer: -(r - 255506)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 + -4. Let h be d\/(-1 - (-21)\/24). Let p = h - -41. What is the greatest common divisor of p and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -0.2, -5, -2\/5, 20, 127?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -3*s. Let k(z) be the third derivative of 2021*z**5\/30 - 22*z**2 - 90*z. Determine k(u(p)).\nAnswer: 36378*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11132 or -11125?\nAnswer: -11132","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17 + 29. Solve a + g = -2*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -614.3 - -614. Let n = -0.1 + 0.1. What is the closest to -1 in b, -3, n?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 12*n**2 + 8*n - 17. Let a be h(6). Let u = -47 + a. Suppose 2*j = -5*l + u, -3*l = -4*j - 139 - 121. What is the tens digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*h**4 - 1146*h**3 - 108291*h**2 + 220032*h - 110592 = 0. What is h?\nAnswer: -192, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11548344?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -2*c**3 + 72*c**2 + 2*c + 46. Calculate s(36).\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*1*sqrt(84) - (4*1*sqrt(84) - sqrt(84)))\/(sqrt(72)\/(sqrt(6) - (sqrt(294) - sqrt(294)*-2))).\nAnswer: 140*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, w: 8, l: 2, v: 5}. What is prob of sequence wy?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 39925?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 201 - 163. Calculate the greatest common divisor of u and 114.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*v - 16*v - 2*v.\nAnswer: -9*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-3 - (0 - 10)). Let u = 0.4 - -0.1. Which is the second biggest value? (a) 1\/3 (b) u (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 8 = n, 5*n - 4 = -5*u + 16. Solve n = 4*v - 5 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2929 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -136*k + 7785 + 3057 = -553*k for k.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -25?\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -122734818\/5 bigger than -24546963?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-500)\/(-16) + -14)\/(-3*4\/(-21408)) a multiple of 223?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 23 = -5*r, 0 = r - 4*t - 25 + 2. Let q = r - -28. What is the greatest common divisor of q and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -443350 divided by 264\nAnswer: -221675\/132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + u - 9 = 17, 4*v - 4*u = -32. Let a be 3 + 2 + 3 - v\/(-3). Suppose 9*r + a = 32. What is the remainder when 17 is divided by r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13690\/10 + (5 - -3) a multiple of 81?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -0 + 3. Let h(u) = 5*u**2 - 3*u - 5. Let q(b) = 6*b**2 - 4*b - 6. Let w = -53 - -59. Let o(c) = w*q(c) - 7*h(c). Determine o(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -3 - (1 + -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 3*r + 11, 4*v - 2*v - 3*r = 13. Suppose -5 = -v*n + 119. Calculate the remainder when n is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -x + 26. Let t = -38 + x. List the prime factors of (-2)\/t*618\/4.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 154 = -8*g - 118. Let z = g - -67\/2. What is the nearest to z in -1, -1\/6, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6135 + 6168. What is the greatest common factor of 671 and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 265539357 to the nearest integer?\nAnswer: 16295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19589\/6 + 3273. Let h = -12055912489\/318 + 37911633. Let f = h + -1\/159. Calculate the common denominator of f and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 226475?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 17481 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (-9 - -9) + -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 819*c**4 + 7*c - 194 wrt c?\nAnswer: 9828*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 83 (base 9) to base 15.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5203, 10411, 15621, 20833, 26047, 31263?\nAnswer: 36481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (3 - 4) + -3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - -70) + -70 - (19 - 0).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3132044332 (base 5) to base 7.\nAnswer: 106260002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(2\/17)*h**(-1) assuming h is positive.\nAnswer: h**(-15\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 - -11. Solve -5*g + 20 = a, -3*g - 4*a - d = 1 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the first derivative of z**4\/12 + z**3\/2 + z**2\/2 - 3. Let p(i) be the second derivative of n(i). What is p(-4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g - 2*g + 0*g + 3*g - 2*g + g + (-4*g + g + 4*g)*(-1 + 3 + 0) - 2 + 2 + 2*g - 5*g + 0*g + 0*g)*(3 - 1 - 2*g**2 + g**2).\nAnswer: g**3 - 2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 3 - 1 = 0. Suppose -h*b - 12 = -d - 7*b, -3*b = 4*d - 12. Let m(w) be the third derivative of -w**4\/24 - 5*w**3\/6 + w**2. Determine m(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1188003 + 11.5.\nAnswer: 1188014.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llmaaaallaalawaaaam. Give prob of sequence alml.\nAnswer: 55\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 700 divided by 20\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-4 + (sqrt(1539) - (sqrt(1539) + -4 + sqrt(1539) + 2) - sqrt(1539) - (sqrt(1539) - (1 + sqrt(1539)))*1)**2 + -4)*-6.\nAnswer: -36942 + 648*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 475, 895, 1597, 2581?\nAnswer: 3847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 8, -5, 11771 in descending order.\nAnswer: 11771, 8, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 13*l - 1 = 0, -3*g - 2*g - 2*l = -9*g + 6*g - 10 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 times 0.3?\nAnswer: 3.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cncm when four letters picked without replacement from cnlmrlce?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*b + 1027*b = -909*b - 19605 - 26602 for b.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1480811 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000453265 rounded to five decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, j: 1, i: 11, a: 1}. What is prob of picking 1 i, 1 c, and 1 a?\nAnswer: 22\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/16 and -35\/674?\nAnswer: 5392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 + 17*u**2 + 17*u + 18. Let v be o(-16). Let h(b) = 3*b**2 - 5*b + 5*b**2 + 7*b + 5*b**2 - v - 2*b**2. Calculate h(-2).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 41*n**3 - 2*n**2 - 5. Let s(t) = 121*t**3 - 7*t**2 + t - 15. Let r(a) = 2*s(a) - 7*u(a). Find the second derivative of r(j) wrt j.\nAnswer: -270*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50305 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 76 + 2 + (-6)\/2. Let x(r) = 5*r**2 + 64*r - 40. Let q be x(-12). Let w = q + t. Which is bigger: -15 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -518693.4 to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + 7. Solve 3*p = 3*l, -k*l = -p + l - 12 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 AM and 6:13 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 10*g = -5*f + 5, 3*g + 33 = -3*f. Is 9\/g + ((-17266)\/(-4))\/1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -313*m**2 - 2*m - 11. Let q(n) = 2*n. Determine q(g(c)).\nAnswer: -626*c**2 - 4*c - 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 7*k**2 + 16*k + 8. Let n(y) = -y**2. Let h(j) = -6*n(j) - u(j). Suppose 5 + 22 = -2*g - f, 0 = -5*g - 5*f - 65. What is the tens digit of h(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 4*j**3 + 512*j**2 + 1964*j - 2480 = 0.\nAnswer: -124, -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (7 + 20 + -13 + -44)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 less than 381093698?\nAnswer: 381093697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5838008, 11676015, 17514022, 23352029, 29190036, 35028043?\nAnswer: 40866050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 16 + 38\/57 + (-28)\/6. Suppose 0 = -8*w + 4*w + h. Let s(y) = -y + 11. Let c be s(8). What is the greatest common factor of c and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iii when three letters picked without replacement from {i: 8, r: 2, d: 2}.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 239041 * 56\nAnswer: 13386296","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let t = 31 - 25. Let z be (30 - 32) + 2\/((-4)\/(-6)). Solve -4*i + 31 = -5*u, 2*i - t*i + z = 5*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1255414 (base 7) to base 13.\nAnswer: -5a25c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + i + 54, 0 = -181*i + 176*i + 30. What is the closest to 3 in 3, 1, x, -1\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -62346 (base 8) in base 13?\nAnswer: -b9ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -126197936\/5 or -25239587?\nAnswer: -126197936\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 37375779?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1952533.8 rounded to the nearest 1000?\nAnswer: -1953000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 4*d = -2*j - 33, 0 = 3*d - j + 11. Let l = d + 3. Let p(v) = -3*v + 4. Let f(m) = -2*m + 5 - 3 + m - 1. Give l*f(w) + p(w).\nAnswer: -w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25610, -25618, -25642, -25688, -25762, -25870?\nAnswer: -26018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22 - 15. Let n = 2 - 1. Calculate the highest common factor of j and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1539) + sqrt(1539) + -1 + sqrt(1539) + 4 - (sqrt(1539) + 1)*6 - (-5*(sqrt(1539) + 1 + sqrt(1539) + sqrt(1539)) + -2*(-1 + sqrt(1539))))**2.\nAnswer: 301644","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2904 - 3a9?\nAnswer: -3202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*w + w + 3*w + (-3 + 0 - 2)*(4*w + w - w) to the form r*w + i and give r.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -2*i**3 + 2*i**2 - i. Let l be 160\/72 + (-2)\/9. Let m = -3 - -6. Let p(g) = -g**l - 3 - 3*g + m + 4*g. What is f(y) + 3*p(y)?\nAnswer: -2*y**3 - y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 147764?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -129317, -258597, -387875, -517151?\nAnswer: -646425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 412000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 41314?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-20))\/((-195)\/120).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2915*h - 2195 + 2195.\nAnswer: 2915*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 4*h**2 + 4*h + 1. Let t be z(-5). Suppose -3*k + 4*x = -104, -t = -2*k - 4*x - 5. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -208.9833 + -0.0167. Does -1 = b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78734734 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 67761688?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3806558732 to the power of 1\/2, to the nearest integer?\nAnswer: 61697","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccmcmccccm. Give prob of picking 1 m and 3 c.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2, 5, 205\/17?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36\/(-8)*194\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18097663 divided by -6?\nAnswer: 18097663\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 21\/4*16\/4. Suppose 4*k = 0, -4*a + 0*k - 2*k - 112 = 0. Let v be a\/s*(-4 + 1). Solve -5 = -3*i + 4*p, -2*i = 3*p - v - 5 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/3)\/((-80)\/(-300))?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 - ((-5)\/280 + 657621\/(-14952)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 10001101202120 (base 3) to base 16\nAnswer: 18bf5b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -153*h**2 - 209*h - h**3 + 153*h**2.\nAnswer: -h**3 - 209*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/56*8*-5)\/((-1)\/7)?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -30*p**4 + 168725*p**3\/2 + 154775*p**2\/2 - 168725*p\/2 - 154715\/2 = 0. What is p?\nAnswer: -1, -11\/12, 1, 2813","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -40 and 172.\nAnswer: -6880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-50)\/(-12) + 12\/(-4). Let v = m + -371\/66. Calculate the common denominator of 43\/8 and v.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 15 (b) 0.3 (c) -13351.4 (d) -24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -3*g + 11, -d + 13 = g - 4*d. Let x be (-1)\/(g + 1 + -5). Let i = 78160.8 + -78161. Which is the nearest to x? (a) -2 (b) i (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.00037 - 1. What is i rounded to four decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 383, 4, 1, 74 in decreasing order.\nAnswer: 383, 74, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2 - p + 1. Let z be d(-2). Let u be 22\/(-24) + 3\/12. Which is smaller: u or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3044 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/5 + 2\/(-10). Suppose 5*j - 5*s - 20 = l, 6*j + s = 10*j - 16. Is 12 a factor of (-79)\/4*(-4 - j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30068, -29841, -29464, -28937, -28260?\nAnswer: -27433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.06 or -2.273?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1694679537?\nAnswer: 3, 23, 1067851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -103583980 divided by 5179199\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 186563848?\nAnswer: 2, 17, 521, 2633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 73 = -f, -163 = -5*s + 4*f + 204. Is 15 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1425.4134 and -0.4.\nAnswer: 570.16536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7082407 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16200687?\nAnswer: 3, 83, 65063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6.07? (a) 6 (b) -1\/4 (c) -0.2 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10 - -125254?\nAnswer: 125244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -9*w**4 + 104784*w**3 + 16706924*w**2 + 22136176*w + 7363200 = 0?\nAnswer: -156, -2\/3, 11800","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -445*v**3 + 2*v**2 - 2*v + 1. Let g be a(1). Let r = -118 - g. Suppose 0*k - 2*k = -r. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 + 10 = -5*x. Solve -4*v - 2*z + 12 = 0, 16 = x*v + 3*z + 3 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -458573 (base 9) to base 13\nAnswer: -98403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = -21*d + 23*d + 3*y, -23 = -d - 3*y. Calculate the greatest common factor of 452 and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 40773549?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*f**3 + 104*f**3 - 166*f**3.\nAnswer: -3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 312833844 and 90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -3*j**2 + 11*j + 62. Determine c(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 2*d - 35 = -15*d - 4*v + 205, -5*d + 80 = -4*v for d.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13122*k + 11 - 4773*k - 8350*k.\nAnswer: -k + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 - 1\/5*p**3 - 31\/5*p + 32\/5*p**2 = 0. Calculate p.\nAnswer: 0, 1, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/5)\/(j*j**12))\/(j**(-3\/5)*j*j*j**(-2)\/j*j) assuming j is positive.\nAnswer: j**(-63\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in 0.13, -2\/11, 2, -7\/3?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 4696302681?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 7 + 2*b - 4*b)*(0*b**2 - b**2 - b**2 + (b**2 - 3*b + 3*b)*(0 - 3 - 7)) to the form t*b**3 + c + r*b**2 + o*b and give r.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f - 3. Let m be k(0). Let p(d) = d**2 + 8*d - 6. Let t(c) = -2*c**2 - 7*c + 5. Let b(r) = m*p(r) - 2*t(r). Is 8 a factor of b(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14095787?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*t**2 + 2 - 2 - 6*t**2 + 3*t**2 + t**2 + (-t**2 + 2*t**2 + 2*t**2)*(-12 + 1 - 13))*(t + 0*t + t) to s + w*t + o*t**3 + c*t**2 and give o.\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3936591 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k**3 - k + 5 - 5 - k**4)*(-6*k + 3*k + k).\nAnswer: 2*k**5 + 4*k**4 + 2*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -46.046 or 3\/5?\nAnswer: -46.046","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 29875.9 greater than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*z - 992435 = -2915065 - 3576802. List the prime factors of z.\nAnswer: 17, 4493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 p when three letters picked without replacement from pupppfmppmmhupfumuhu.\nAnswer: 7\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 84*b**2. Let x(t) = 4*t**2 + 3193*t. Determine x(z(s)).\nAnswer: 28224*s**4 + 268212*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3302 is divided by 155.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/43290 and 19\/9360.\nAnswer: 346320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1351\/17 - 60209\/748. What is the common denominator of 59\/759 and u?\nAnswer: 3036","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*f + 24*f = 48. Is 69618\/(-2 + 8) - f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -4*u**2. Let x(i) = -155*i**2. Give z(x(n)).\nAnswer: -96100*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1196*s + 130*s**2 - 2380*s + 1182*s.\nAnswer: 130*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3.9 or -35.4?\nAnswer: -35.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(-1\/15)*(n**0*n)\/n)\/(((n*n*n**22\/n*n*n)\/n)\/(n\/(n*n**(-10)))))**48 assuming n is positive.\nAnswer: n**(-3104\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -2905\/16333?\nAnswer: -2905\/16333","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 176 is divided by 46.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17297 + 26734. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-642)\/171 + -1 + 0. Let r = d - -8\/19. Suppose -16*j - 120 = 8*j. Which is smaller: j or r?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 840408 to the power of 1\/2, to the nearest integer?\nAnswer: 917","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 886957 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -2*r**2. Suppose 108 + 400 = 2*l. Let k(b) = -l*b**2 + 243*b**2 + 2*b - 2*b. What is y(k(a))?\nAnswer: -242*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -49 - -51. Which is greater: v or -1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111841539 to the power of 1\/2, to the nearest integer?\nAnswer: 10576","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3*(-6)\/2*10. Is 89 <= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*q - 3*q + 4*q)*(26*q - 21*q + 53*q) as s*q**2 + u*q + j and give s.\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/7)\/((880\/(-56))\/(-11))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence stn when three letters picked without replacement from {b: 1, n: 1, t: 1, s: 1, h: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(-3))\/((-300)\/(-225))?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 47 by -1.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 60 = 6*w, -128*w + 123*w - 4*x + 54 = 0. Solve 3*k - 6 = -5*c, -3*k - 8*c + 6*c = -w for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the first derivative of x**3\/3 - 1. Let r(f) = -f**2 - 14*f - 18. Let q be r(-9). Let j(n) = 4*n**2 - 27*n + q*n. What is o(j(b))?\nAnswer: 16*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/v**(-11\/2))*v*v**5)\/(v**(-7))**(1\/29))**(6\/7) assuming v is positive.\nAnswer: v**(129\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 6 = 0, 5*v - 2*y + 13 = 37. What is the highest common factor of 786 and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, -0.4, -27.6 in ascending order.\nAnswer: -27.6, -3, -0.4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 139904000 rounded to the nearest 1000000?\nAnswer: 140000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1331030 to the nearest integer?\nAnswer: 1154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -671.\nAnswer: 3\/671","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/8, -7570, 0, -1.01, 2\/5?\nAnswer: -1.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jqqpzqmzppqzpppz. Give prob of picking 1 m, 1 p, and 1 q.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 46 and -2.\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-8)*372\/(-62)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -16*m - 92. Let p be z(-5). Which is the second smallest value? (a) p (b) -7 (c) 3 (d) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and -194.\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-95 - -92)\/(3\/(-595)). Calculate the greatest common factor of h and 175.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1026*(-296)\/47952*54\/(-19).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10.0621 + 0.0979. Is 1\/4 less than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 - 1. Let g(m) = 7*m**3 - m**2 - 2. Let l(x) = 3*a(x) - g(x). Determine l(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 2*n = -36. Let f = 190 - 140. What is the remainder when f\/(-5)*n\/(-5) is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -10. Calculate the highest common divisor of q and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/193984 and 113\/1220352?\nAnswer: 528412416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:49 AM and 9:23 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4702643?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -410 = -16*h - 186 for h.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4145?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 20205999?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(117)*-2)\/(-1*sqrt(324)).\nAnswer: 2*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 88 + -81. Suppose 25 = t*a - 31. Find the third derivative of -a*c**5 - 38*c**2 + 9*c**5 - 15*c**5 wrt c.\nAnswer: -840*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, 0.08, 5, -5 in ascending order.\nAnswer: -5, 0.08, 1\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1812912 divided by 4.\nAnswer: -453228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 1 - (-15 + 8) - (14 + 8).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 2, 4\/11, -2\/19, -3\/164, -5\/179, 4?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -26 - -7. Let k = -18.996 - v. What is k rounded to two dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + 1332345662?\nAnswer: 1332345661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + 3 + 1. Let o be (-2)\/4*d\/(-3). Let g be 52\/(-286) - (93\/33 + -3). Which is smaller: g or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.27 and -0.1?\nAnswer: -0.027","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 323 and 459?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -184a05 - -48?\nAnswer: -184968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2965171?\nAnswer: 11, 269561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 + -8. Let q be 670\/u + 4\/12. Calculate the greatest common divisor of q and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/32 and -61\/1096.\nAnswer: 4384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 4, 0, 0.03, -0.0025, 0.5 in decreasing order.\nAnswer: 4, 0.5, 0.03, 0, -0.0025, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4855789 to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -4*f - 5*v - 109, -4*v = 2*f + 76. Let w = 28 + f. Solve w = 2*d - 3*d - 2 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 246402?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -14 and 38\/445?\nAnswer: 445","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, g: 3}. What is prob of sequence rgr?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + 12. Let g(j) = j**3 - 6*j**2 + 3. Let i be g(p). Let u be -1 + i + 0 + -2. Solve u = r - 5*r - 4 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-5632)\/(-80))\/22)\/(4\/10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 721041 divided by -1528?\nAnswer: -721041\/1528","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 424622, 1698641, 3822052, 6794849, 10617026?\n\"Answer: -g**3 + 424702*g**2 - 80*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -8*o**2 - 641*o + 1211. Determine b(2).\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -27*u + 2. Let q(y) = -y - 1. What is -d(m) - 4*q(m)?\nAnswer: 31*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -15*l - 14. Let v(y) = -5*y - 5. Let s(k) = 6*c(k) - 17*v(k). Let f = -3 + 2. Calculate the remainder when s(f) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -1441\nAnswer: -4\/1441","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 102807 + -12?\nAnswer: 102785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -7*d - 45. Let b = d + 7. Let u be b\/(-7) + 145\/7. Solve -4*k + 6*j = 2*j - 8, u = -2*k - 3*j for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7381*f - 1 + 1 + 1447*f - 40176*f)*(-f**4 - 3*f**4 + 3*f**4).\nAnswer: 46110*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2 - m + 4600000. Let j be b(0). What is j rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 297764.\nAnswer: 2, 74441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-10)\/(-15)*-6 - 0. Let q(l) = l**2 + 8*l - 3. What is q(r)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 17\/4 of a millimeter?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**2 - 6*o - 10. Let x be z(7). Let w = 51 - x. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4990163 to the power of 1\/2, to the nearest integer?\nAnswer: 2234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 747*u**3 + 11 - 5.\nAnswer: 747*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 106 and 636?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/(x\/(x\/x**(3\/7)))))\/(((x*x**(-1\/10))\/x)\/x)*(x**0)**(-3\/23) assuming x is positive.\nAnswer: x**(107\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange x - 2*x**2 - 6*x**2 - 7*x**2 + 13*x**2 + 2*x**3 - x**4 to the form q*x**3 + r*x**4 + f + c*x**2 + b*x and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -4*q + 24. Determine b(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a millennium in decades?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 7*k**2 + 7*k - 6. Let i(x) = -x**2 - x + 1. Let z(m) = -6*i(m) - w(m). What is n in z(n) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 10 = 0, -2*s - s - 4*i = -104. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 61*s**2 + 5*s - 16. Let c(b) = -60*b**2 - 4*b + 13. Give 5*c(u) + 4*x(u).\nAnswer: -56*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/8? (a) -2 (b) -0.8 (c) 0.5 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 + 16*h**2 + 16*h + 21. Let j be w(-15). Let r be (-83*(-4)\/j)\/((-4)\/(-126)). Let m = r - 86. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 w when three letters picked without replacement from {p: 3, w: 3}?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 70*x - 705*x - 395*x - 25750 for x.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 l when three letters picked without replacement from zipllpnppelnp?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2447 to 1 dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 2 = -a, 0 = -6*l + 79321 - 79315 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*t**4 + 59928*t**3 + 179808*t**2 + 179816*t + 59940 = 0. Calculate t.\nAnswer: -1, 14985","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 140\/(-12) + (-682)\/(-186)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/6963840 and -62\/351?\nAnswer: 6963840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.898 + 0.102. Let r = 9 + -8. What is the closest to r in x, -2, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3 + 1938*k**2 + 7764*k + 7768.\nAnswer: -(k - 1942)*(k + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -4*g + 4. Suppose 5 = 2*q - 1. Determine m(q).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -3*f + 6. Let h(j) = 4*j - 7. Let d(z) = 4*h(z) + 5*v(z). Let u(o) = 3 - 8*o + 16 - 85 - 4*o. Let p be u(-6). What is d(p)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117*y = 116*y - v - 1, 4*y + v + 4 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18 + 2. Let h = r + 10. Is (-30)\/4*28\/h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 8) in base 9?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -44\/7 and -43\/15.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 8) in base 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, i: 8, r: 1, s: 2, l: 1}. What is prob of sequence qrqs?\nAnswer: 1\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 3 = -1. Let t be (-378)\/(-108) + 3\/(-2). Let n(h) = -t + 1 + 1 + 5*h. What is n(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 3229 = -4*f + 11213, -5*m + 5*f + 40020 = 0. Suppose -m = -0*c - 4*c. Round c to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -72 or -3894\/53?\nAnswer: -3894\/53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 146866?\nAnswer: 2, 73433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 5\/4, 0.3, -5, 28, 10 in decreasing order.\nAnswer: 28, 10, 5\/4, 0.3, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 - 11*a**2 + 12*a - 15. Let h be c(10). Let o(k) = -6 + h + 1 - 10*k. Let s be o(-8). What is the greatest common factor of 8 and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the third derivative of l**7\/2520 + l**6\/240 - l**5\/30 - l**4\/12 + 18*l**2. Let g(n) be the second derivative of q(n). What is g(3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((84\/(-12))\/(-7))\/(-9)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 86.541 to the nearest ten.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000415 to 5 decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4520 rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o + 1. Let i be y(-2). Let d(r) = -2*r + 4*r - r + 2*r**2 - 38*r**3. Is d(i) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1538333, 3076668, 4615003, 6153338?\nAnswer: 7691673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -50793, -202336, -454607, -807600, -1261309, -1815728, -2470851, -3226672?\n\"Answer: i**3 - 50370*i**2 - 440*i + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -10*j - 3. Let l(n) = 9*n + 2. Suppose 0 = -h - 0 + 3. Let x(y) = h*u(y) + 4*l(y). List the prime factors of x(8).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 - 19*t - 2*t**2 - 2*t**4 + 5*t - t**3 + 14*t to the form x*t + n*t**3 + f*t**4 + m + i*t**2 and give m.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -15000*h**3 - 2. Let n be l(-2). Suppose 2*s - o + n = 0, s + 2*o - o + 60002 = 0. What is s rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 PM and 11:15 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o**5 - 1495*o**4 - 11582685*o**3 - 5767121185*o**2 - 11499500320*o - 5743960320 = 0 for o.\nAnswer: -784, -1, 1869","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 12) to base 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/601110 and 107\/57265746.\nAnswer: 858986190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -15882, -2, 3\/4 in decreasing order.\nAnswer: 3\/4, -2, -15882","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + (-3)\/(12\/(-16)). What is the remainder when 2 + 13 - (4 - g) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the second derivative of n**4\/30 - 214*n**3\/15 + 11449*n**2\/5 + 683*n. Factor x(o).\nAnswer: 2*(o - 107)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2248248152?\nAnswer: 2, 97, 2897227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 2*u + 40. Determine s(-15).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 55 + -35. Let p = -7 + 45. What is the remainder when p is divided by s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -2*z - 3. Let i(o) = -42*o + 36. Let a(l) = 2*l - 3. Let r(s) = -18*a(s) - i(s). Let g be r(-4). Determine n(g).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 811 = -32. Let u = l - 824. Solve u*p - 17*p = -4 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*t**5 + 417*t**4 - t**3 + 6657*t**2 wrt t?\nAnswer: -240*t**2 + 10008*t - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -1\/5, 4, 0.46?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 154 and 2.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 536043 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -428 by -6.\nAnswer: 214\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c**4 - 3*c**4 - 4*c**4)*(3*c - 3*c - 2*c) + (4*c**2 - c**2 - 2*c**2)*(-11*c + 11*c + 6*c**3).\nAnswer: 12*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -141*g**2 + 126*g**2 + 86*g**2. Let v(u) = -2*u. What is k(v(l))?\nAnswer: 284*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 46\/(-6) + 40\/(-12) + 3. Let w be 20\/8 + 28\/v. Which is bigger: w or -2\/461?\nAnswer: -2\/461","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 250\/238839 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 10*b - 3 + (-2 + 0 + 1)*(-1 + 3*b + 1) + 4 - 4 + 2*b + 3*b - 5*b + 3*b to s + z*b and give z.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 4*p = -352, o + 3*p - 90 = 4*p. What is the remainder when o is divided by (-4 + 42)\/(19*(-88)\/(-836))?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7215 or -123\/421?\nAnswer: 7215","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 1) + 1 - (-11 - -16).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1775049.6 rounded to the nearest one thousand?\nAnswer: 1775000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 4 + 0 = 0. Suppose -31*a + w = -29*a. Let k(l) = l - 7. What is the remainder when a is divided by k(9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 11*t**3 - 2*t**2 + 1. Let b be v(1). Suppose 2*z - 46 = -b. What is the common denominator of (-5*2)\/(16\/z) and -83\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 112 + -103. Let t be ((-120)\/(-36))\/((-6)\/v). What is the nearest to -3\/4 in -0.5, t, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**2 + h**2 - 5*h**2)*(324*h + 176*h - 946*h - 1101*h).\nAnswer: 3094*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.11 times 12225.3\nAnswer: -1344.783","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1290)\/1204)\/((-5)\/(-2)*72\/210).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.1, 5.58 in descending order.\nAnswer: 5.58, 1, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20 - 17. Put 5, 4, y in ascending order.\nAnswer: y, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gfckkpctfkftpfgp. Give prob of sequence cpfp.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7731287 is divided by 868?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -3*b**2 - 9*b - 6. Let a(c) = -c - 1. Let l(m) = -2*m**2 - 11*m + 3*m + 11 + 5*m + 6*m**2 + 18*m. Let f(v) = 2*a(v) + l(v). Give -5*f(s) - 7*h(s).\nAnswer: s**2 - 2*s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 39 = 5*d + 4, -5*d + 44 = -4*p. Let k = d + -3. Suppose -k*s + 0*s = -45. Calculate the remainder when 25 is divided by s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*p - 34*p = 4*p - 2464. What is the highest common factor of 36 and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, p: 3}. Give prob of sequence pg.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(63) + sqrt(1008)*2 + sqrt(63))\/((-3*sqrt(9) + sqrt(9) - sqrt(9))*-2) + -1).\nAnswer: -1 + 5*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.8*-3.\nAnswer: 2.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 382 is divided by 135?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 300 and 3060?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-48))\/((-9)\/24)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in -21, 5, -2\/9, 1.3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000214623 rounded to 6 decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 716\/(-10) - (-4)\/(-10). Let n be 92\/9 - (-16)\/x. Let b = 43 + n. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -10*i**3 + 56*i**2 + 24*i = 0.\nAnswer: -2\/5, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 31 + -113031?\nAnswer: -113000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7073\/71640 + -3\/1990. What is the common denominator of w and -139\/864?\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**3\/7 - 1786*v**2\/7 + 28960*v\/7 - 116352\/7.\nAnswer: -2*(v - 8)**2*(v + 909)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 3*v = -28. Suppose 100 = 3*c + v. Calculate the remainder when c is divided by (-2)\/(6\/(-33)*1).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 36\/11719 or -1?\nAnswer: 36\/11719","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a4 - -1?\nAnswer: -a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 8:56 AM?\nAnswer: 4:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -531 - -2132. Suppose -l - 99 = 5*u - c, -3*u - l = -902. Round u to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1356, -1352, -1348, -1344, -1340, -1336?\nAnswer: -1332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.027, -11, 0.18, 6\/7, -0.2, 1?\nAnswer: 0.027","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/6))**(-20\/3)\/(i\/(i\/(i*((i**(1\/6)*i)\/i)\/i*i*i))*i\/(i\/(i\/i**11*i*i))) assuming i is positive.\nAnswer: i**(85\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -595*h - 330 + 116 + 216 + h - 2*h + 0*h + (-2 - 1 + 2)*(2*h - h + h).\nAnswer: -598*h + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13118 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**2 - 16*a - 16. Let q(j) = -j**2 - 15*j - 16. Let g(k) = -4*q(k) + 3*z(k). Let p be g(-11). Suppose -3*v + 1 = -p. Solve m = v*m + 4 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16062217294\/621 - 25865090. Let j = -140\/23 - o. Let f = -11\/27 - j. Which is the second biggest value? (a) f (b) -2\/17 (c) -2\/9 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -481 + 225. Let q = a - -480. Is q a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 75*c**5 - 14*c**2 - 25*c**5 + 12*c**5 wrt c.\nAnswer: 3720*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*v + 8*v - 4*v - 6*v + 7*v.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -5*g + 63. Let v be (-14)\/((g\/4)\/(-5)). Let u = -55\/2 + v. Put -5, u, 4 in decreasing order.\nAnswer: 4, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11213 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of s**3 - 3*s**2 - 1177*s?\nAnswer: 6*s - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3391 or -3390?\nAnswer: -3391","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-21)\/c*c\/(c*(c*c**4*c)\/c))**(2\/11) assuming c is positive.\nAnswer: c**(-54\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + 4 + 1 - 3) + 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and -53236.\nAnswer: -5323.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange a**3 - 4*a**3 + a**3 + 13*a**2 to the form z*a**2 + b*a + u + p*a**3 and give z.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 71505?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-12)\/(-6) + -1 + (-18)\/8 and -6\/7?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42*-511419\nAnswer: -21479598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 488121 is divided by 61?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 243108542, 486217082, 729325622?\n\"Answer: 243108540*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - 779421.\nAnswer: -779424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + 3*g - 45. Let m be g\/(-15) - (-18)\/5. Solve -2*q + 7*q + 13 = m*t, -5 = -3*q + 5*t for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(((-1472)\/496)\/(-23))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -3*s**3 - 1. Let j be t(-1). Let v be (4\/(-6))\/(j\/(-6)). Does 12 divide 1\/v + 220\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 171 divide 135551?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-289 - 259 - z**2 + 2439)*(3*z**2 + z**2 - 3*z**2 + 4*z) to the form i*z**2 + k + c*z + m*z**4 + x*z**3 and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 132*q**2 + 6 - 87*q**2 - 47*q**2 + 8*q. Let h(n) = 7*n - 2*n**2 + 2 + 0 + 3. Calculate 6*c(d) - 7*h(d).\nAnswer: 2*d**2 - d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -45 - (-126 + (-55 - -98))?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) -2\/13 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + 1. Let k = -67.946 + 70.94576. Let i = k - u. Round i to four decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 169\/5, -4, -5, -624, 2\/3 in increasing order.\nAnswer: -624, -5, -4, 2\/3, 169\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 348, 299, 120, -255, -892, -1857, -3216?\n\"Answer: -11*s**3 + s**2 + 25*s + 333","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence np when two letters picked without replacement from npvyvppplvyggv.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 9 - 226*m**2 + 170*m**2 + 18*m - 1 = 0?\nAnswer: -1\/4, 4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.9, -0.2, 0.5, 0, 0.001?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 104 = -7*l, -4*l = -y + 475 - 537. Suppose -4*f = -1806 - 354. Calculate the greatest common factor of f and l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, x: 9, m: 8}. What is prob of picking 2 m?\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 4333090.\nAnswer: 1299927","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 805 - 115. Suppose p - 7*p + t = 0. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 m, and 1 q when three letters picked without replacement from vqvmvvmvem?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 6*o**2 - o - 5 + 5*o - 4*o**2. Suppose -11*t + 164 = 208. What is i(t)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.8 times 14.06044?\nAnswer: -25.308792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 2*c**2 - c - 2. Let s be z(2). Suppose 7*x + 4*r = 2*x - s, 0 = -2*x - r - 1. Suppose -3 = -x*h - h. Let o(n) = -n**3 + 2*n**2 - n + 1. What is o(h)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07 times 22?\nAnswer: -1.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.0538 - 4.8562. Let h = y + -0.09. Suppose 3*b = -2*b. What is the second smallest value in b, -0.1, h?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23101?\nAnswer: 13, 1777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/12*4*-1. Solve -4*q + 2 + t = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -16 (b) 2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/114 and 50\/69.\nAnswer: 2622","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.00734 - -0.4.\nAnswer: 0.40734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*m + 1 + 0 + m + (-2 - 5 - 1)*(64*m + 889*m + 94*m).\nAnswer: -8375*m + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i**3 + 4*i**2 - 4*i**2 + (i**2 + 0*i**2 - 3*i**2)*(-7*i + 25*i - 11*i).\nAnswer: -16*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a**3 - 3129*a**2 + 814320*a + 817452 = 0. What is a?\nAnswer: -1, 522","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55 - 33 - 3231*r + 13 + 3233*r - 35.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 579876359.2 - 50169176.2. Let m = -529706894.999827 + c. Let j = m - 288. Round j to 5 dps.\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -15 - 7*a**2 - 5*a**3 - 5 - 19*a**2 + 4*a**3 + 17*a**2 - 24*a = 0?\nAnswer: -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 4*k + 19 = 0, -4*a + 3*k + 6 = -5 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(96)*-4 - sqrt(96) - sqrt(96))\/sqrt(12).\nAnswer: -12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/(m**(-3)\/m))\/(m\/(m\/(m\/m**(1\/3)))*m))**2)**(-5\/3) assuming m is positive.\nAnswer: m**(-100\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.3 (b) 3 (c) -5 (d) 559\/2 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1622, -5, 4, 6\/13.\nAnswer: -5, 6\/13, 4, 1622","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30 - 56) + -21 + 14.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 12:40 PM?\nAnswer: 1:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 117, -2, 2.\nAnswer: -2, 2, 117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 11*z - 1. Let a be p(1). Suppose a*q = 6*q - 12. What is the tens digit of -3*q\/(-3) + 87?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 285*o**2 + 17267*o + 26686. Calculate g(-59).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*m + 12 = 42*m, 154 = 5*b - 2*m. Suppose -2*w - 16 = -2*v, -5*v + 4*w + b = -6. Solve -5*d + 7*d = -v for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20 - -29. Calculate the remainder when 25 is divided by d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 6*o**2 + 4 + 4*o**3 - 23260*o + 3*o**4 + 23261*o to the form a*o + l*o**3 + g + k*o**2 + c*o**4 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - w**2 + 4*w**4 + 2)*(w + w - 9*w).\nAnswer: -28*w**5 + 7*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bwwqkhp. What is prob of sequence qbww?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 35 - 17. Calculate the least common multiple of 148\/x + (-4)\/18 and 11.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 2 - 10204*i + 2 - 10190*i + 20279*i.\nAnswer: -115*i + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -178, -177, -176, -175?\nAnswer: -174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or -91\/5?\nAnswer: -91\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 3*q = -0*h - 21, -3*q = -5*h + 27. Let w be -2 - (h + -7) - -24. Solve 0 = 5*p + 1 - w for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -10*z - 5. Let r(o) = 3*o + 2. Let w(a) = -3*r(a) - v(a). Let d = 3 - 2. Let h(g) = -5*g + 3. Determine d*h(x) + 3*w(x).\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 20\/30*(219 - -3). Calculate the greatest common factor of 518 and x.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/(d**(-4\/7)*d))\/d*d)\/d*d*d*d**(1\/6)*d*d**6*d**(-3))**(1\/89) assuming d is positive.\nAnswer: d**(241\/3738)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 28\/(-8) - 12\/8. Sort -2, 0, z, 0.16.\nAnswer: z, -2, 0, 0.16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -591 - -579. Let t be (-56)\/(-16)*m\/(-21). Solve -2*n + 2 = -t for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + q - 3 = 6*q, -2*o = 2*q + 18. Let n be (0 - 1)*(-1)\/o. Let u be (-2)\/(-10) + 42\/15. Put -5, n, u in ascending order.\nAnswer: -5, n, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 319\/2 + -158. Find h, given that 0*h**2 + 0 - r*h**3 + 3\/2*h = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a**(-4))\/a*a)\/(a\/(a**(3\/4)\/a)))\/((a\/(a\/a**(-1\/2)))\/a**(-24)) assuming a is positive.\nAnswer: a**(-111\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(16)*2 - sqrt(16)))\/(sqrt(512)\/sqrt(4)))**2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.6627951 to one decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 990896.2 millennia to decades.\nAnswer: 99089620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4061 = 11*w + 3665. Calculate the remainder when 1259 is divided by w.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -30 + 5. Let y = -19 - m. Solve -v + y*v - 5 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1132 + -2?\nAnswer: -1134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9841 is divided by 4001?\nAnswer: 1839","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**2 + l - 38. Let p(v) = 1174*v**2 + v - 77. Determine 2*o(c) - p(c).\nAnswer: -1172*c**2 + c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/2 in -1, 0, -5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence su when two letters picked without replacement from yvyfffuafvyysfu.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 30722 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1305 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 285600 and 200.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -207079 * -0.15.\nAnswer: 31061.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(243) + 1 + sqrt(243)*-1 - sqrt(243))*-1 + -5)**2.\nAnswer: -108*sqrt(3) + 279","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of j**4\/12 - 5*j**3\/6 - j**2 + 30*j. What is t(4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z + 2*z**2 + z**3 - 3*z + z**2 - 1 + 6. Is y(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(152) + -1*sqrt(152)*-3 + sqrt(152) + sqrt(152) + sqrt(152))\/(sqrt(648)*2 - sqrt(8)))**2.\nAnswer: 931\/289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 430 + -414. Suppose -67 = -n*j + 45. Solve 1 + 13 = j*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 f when two letters picked without replacement from pffffpddppfp.\nAnswer: 25\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fpr when three letters picked without replacement from pppfr.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c**3\/5 - 692*c**2 - 46216*c\/5 + 98336 = 0.\nAnswer: -20, 7, 878","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 349.71 - 354. What is t rounded to one decimal place?\nAnswer: -4.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1340 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -6075487 + 6075487 - i**2 - i**2. Let t(q) = 2*q**2 - 7*q - 2. What is t(u(f))?\nAnswer: 8*f**4 + 14*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + 5. Let d(x) = -4*x**3 - 6*x**2 + 6*x + 6. Let s(l) = 5*l**3 + 7*l**2 - 7*l - 7. Calculate m*s(y) + 7*d(y).\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 7:55 AM?\nAnswer: 10:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001455522 to 6 dps.\nAnswer: -0.001456","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3*n + 0)*(-2*n**2 - 3*n**2 + 2*n**2) - 6*n**3 + 63 + 57 + 2*n**2 - 115 + (-2*n**3 - 2*n + 2*n)*(-2 + 1 + 3).\nAnswer: -n**3 + 2*n**2 + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/162, -1, 3\/4 in ascending order.\nAnswer: -1, 1\/162, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2348, 4705, 7048, 9377, 11692, 13993, 16280?\n\"Answer: -7*f**2 + 2378*f - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 + 30*d**2 - 4610*d - 77. Give i(-85).\nAnswer: -5602","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-7\/3)\/y)\/y**(-1\/4))**44 assuming y is positive.\nAnswer: y**(-407\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -126.19 to the nearest ten.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 234 (base 13) in base 12?\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -188*o - 3 = -3*f - 191*o, 0 = 4*f - 5*o - 4 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*f - 59 = -69. Suppose -10 = 2*o, 5*c - o + 24 = 479. Let s = c + f. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -17948 or -17925?\nAnswer: -17925","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 2\/5847 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-8.5.\nAnswer: -25.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**5 + 90*f**4 + 305*f**3 - 900*f**2 + 500*f.\nAnswer: 5*f*(f - 1)**2*(f + 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-432)\/(-40) + -3 + (-8)\/10. Suppose -68 = -4*l + 3*i - 17, -l - 5*i = -z. Calculate the smallest common multiple of l and -1 - 4\/((-4)\/35).\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 - (10 - 1 - (-47 - -9))?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 5*a**5 + 5*a**4 - 260*a**3 + 220*a**2 + 480*a = 0.\nAnswer: -8, -1, 0, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -186, -203, -244, -321, -446?\n\"Answer: -2*j**3 - 3*j - 181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4423033410 (base 5) to base 2.\nAnswer: -100100100010111111000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 44*((-81)\/6)\/(-9). Suppose 318 = -5*n + 4*k, -12*n = -13*n + 2*k - i. Which is smaller: -63 or n?\nAnswer: -63","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 2 - 1 + 0 - 4 - b. Let z be w(-6). Suppose z*k = -5*l + 4 + 6, -5*l + 5 = 4*k. Which is smaller: -4 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3\/(-2) + 0)*-2. Suppose 0*d = 2*d + p*b + 1, 1 = -d - b. Let g = 28 - d. Is g a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 5 = 3*y. Solve -y*a = -0 - 3 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2\/11, 25, 5.1, 2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (660\/(-495))\/((40\/(-162))\/(-5))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5920941 divided by 151819?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzoojezjzzzzjsoeztoo. Give prob of sequence oejs.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*v**4 + v**2 - 234*v?\nAnswer: -72*v**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-16)*(-6472)\/16989\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1127329309 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 984 = 5*u - 943, -3*u = t + 11. Solve -4*d + 4*x = 20 - t, -3*x + 4 = -d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -368*n + 4563. List the prime factors of p(-50).\nAnswer: 22963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -4 - (7 + 5 + -24).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -23*v**2 - 16 + 37 - 15*v + 8*v + v**3 - 17 + 2*v in the form i + o*v + d*v**3 + t*v**2 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/10 - 11\/(-5). Suppose -f = -4*f. Put -2, f, x in descending order.\nAnswer: x, f, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 698077 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -68*u + 271. What is z(5)?\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-15)\/12 - 1 - (-6)\/3. Is g greater than or equal to 0.34?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -42*y - 37*y + 1 + 81*y + 39*y**2. What are the prime factors of l(2)?\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1571*v**2 + 44*v**4 + 39*v**4 - v**3 + 1569*v**2 - 5*v**4 - v + 2 as m + h*v**3 + s*v**4 + p*v + n*v**2 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4942329 to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 115\/34336512 and 71\/252?\nAnswer: 34336512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -122*w**3 + w. Let z be p(-1). Suppose z = -2*a - 3. Let t = a - -94. Is 14 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 502, 584, 636, 622, 506, 252?\nAnswer: -176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -426\/5, 105\/17, -2 in descending order.\nAnswer: 105\/17, -2, -426\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52)\/(sqrt(16)\/sqrt(4)))**2 + 2 + (-1*sqrt(13))**2 - (sqrt(91)\/sqrt(112) + sqrt(26)\/(sqrt(18) - sqrt(2))).\nAnswer: -3*sqrt(13)\/4 + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 2 = -2*q, 3*w = 5*q - 0 - 5. Let m be q\/3*7\/((-42)\/(-16938)). Suppose -5*n = r - m, -5*r - 4*n = -0*n - 4789. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 5*w - 24. Determine f(15).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 2 - -11 - (-3 + 8 + -2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -227*w + 47*w + 58*w + 5 + 134*w.\nAnswer: 12*w + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-1*sqrt(70))\/sqrt(10).\nAnswer: 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.761 - -58.939. Let h = -60 + t. Which is smaller: 7 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*n + 212*v - 207*v = 46, 4*n - 14 - 4 = v for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes after 3:00 AM?\nAnswer: 6:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*l + 5*z - 14 + 2, 3*l = 15*z - 48 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7.5 + 12.5. Let c = -5.1 - -5. What is the nearest to c in 4, 0.01, k?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + 11120?\nAnswer: 11102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 83.0902968 milliseconds in weeks?\nAnswer: 0.00000013738475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -233 plus 544993587?\nAnswer: 544993354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -66.43 rounded to the nearest integer?\nAnswer: -66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k**5 + 5*k**4 - 4 - 4*k**5 - 3*k**3 - 4*k**3 + 1852*k**2 + 8*k - 1853*k**2 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13 - 113 - 0) + 43.\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00179758082 rounded to 6 dps?\nAnswer: -0.001798","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*c - 227 + 339 = 0 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3*1*(-69060)\/540. Let u = 383 - g. Put u, -0.2, 0, 0.07 in decreasing order.\nAnswer: 0.07, 0, -0.2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 5*j**2. Let r(q) = q**2 + 2105 - 2105. Give r(m(x)).\nAnswer: 25*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*g - 11*g**3 - 14*g**3 + 46*g + 49*g - 138*g.\nAnswer: -25*g**3 + 5*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64d (base 14) to base 16.\nAnswer: 4dd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 137 = -117 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 15) to base 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 352 = 5*c - 168*n - 583, 0 = -4*c - 2*n + 66 for c.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8625360 divided by -60.\nAnswer: 143756","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 336085679 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -232 + 236. Let x be 16*3 - (-2 - -2). What is the closest to x in -0.5, -3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 150.3 + -134. Let k = 17.3 - b. What is the biggest value in 0.06, k, -0.6?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 83 divided by 612448\nAnswer: 83\/612448","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 4167, 16983, 38347, 68265, 106743, 153787?\n\"Answer: z**3 + 4268*z**2 + 5*z - 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2827 and 74273?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 176\/3 - 58. What is the third smallest value in r, -5, 1\/8?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-19\/2)\/a**(-24))\/(a\/((a*a**(-4\/21)*a)\/a)*(a\/(a\/((a\/a**(-4\/7))\/a)))\/a*a*a) assuming a is positive.\nAnswer: a**(535\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by 4\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -358e1 (base 15) to base 11\nAnswer: -107328","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(-3\/5)*b*b\/(b**(-1\/3)*b))\/(b**1)**(-2\/51))\/(b**(-3\/5)\/(b*b**(-1\/3))*b\/b**2*b**(-2\/5)) assuming b is positive.\nAnswer: b**(1438\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - 2*j)*(-3*j + 0*j + j) - 3*j**2 + 5*j**2 + 0*j**2 - j**2 - 45 + 45 to k + g*j**2 + w*j and give g.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (1 - (1 + (-1 - -2)))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.02, 6, 4\/3, -4 in descending order.\nAnswer: 6, 4\/3, 0.02, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -28*j**2 - 568*j - 160.\nAnswer: -4*(j + 20)*(7*j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1836156 and 721347?\nAnswer: 20197716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (38\/12 - (-1)\/2)*3. Suppose -2*h = -m*h. Suppose h = -10*d + 244 + 346. What is the remainder when d is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(68)\/sqrt(4)*-5 + (sqrt(153))**2*3.\nAnswer: -5*sqrt(17) + 459","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 768 is divided by 30?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4907\/15 - 327. What is the third smallest value in 2, -0.3, s, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 45, -3\/5, 2311, 0.3?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the second derivative of h**5\/70 + 5*h**4\/42 + 4*h**3\/21 + 2*h - 9. Factor u(d).\nAnswer: 2*d*(d + 1)*(d + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a millimeter in micrometers?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2195.2 - -2195. Let f be 56\/136*(-2)\/(-7). Put x, -5, f in decreasing order.\nAnswer: f, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9990 - 9922. Calculate the remainder when y is divided by 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12051 + 12051.00016731. Round a to five decimal places.\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 20.21835 or -117?\nAnswer: 20.21835","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of -247*h + 30*h**2 + 21*h - 12 - 173*h - h**3 + 99*h. Suppose d(r) = 0. What is r?\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2180 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -9. Suppose -5*y - j = -324, j = -2*y + u*j + 135. Does 15 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z - 1. Let w(x) = -2*x + 1 - 6 + 2. Give 4*d(q) - w(q).\nAnswer: -2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*z**2 - 2*z**2 + 2*z - z**2 + (-4*z - 56 + 56)*(-3*z + 4*z - 3*z) to the form k*z**2 + x + q*z and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1668?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9, 15, 23, 39, 69, 119, 195, 303?\nAnswer: 449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppxx when four letters picked without replacement from pppppxppxxxpppxp.\nAnswer: 55\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.1333 plus -1260?\nAnswer: -1265.1333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 215\/24 + 141\/3384.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 157*j**2 - 77*j**2 - 79*j**2.\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s - 4*s + 2*s + (-3 + 0 + 0)*(0 - 2*s + 0))*(3*s - s + 0*s).\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -21 (b) -2 (c) -2\/13 (d) 0 (e) 4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**3 + 4*h**2\/3 - 2*h - 4\/3.\nAnswer: 2*(h - 1)*(h + 1)*(3*h + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -13, -4\/13, 0, -0.055, 4, 14?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s + 0*s + 0*s)*(34212*s + 330 + 331 - 1009 + 348).\nAnswer: -102636*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - (-2 - -1)) + (-61 - -61)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2.98 or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -8595850.11 rounded to the nearest 1000000?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 s when three letters picked without replacement from pspap?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence td when two letters picked without replacement from {d: 1, t: 7, l: 1}?\nAnswer: 7\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 + 7.000001. Let u = 0 - h. Round u to seven decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 2 + 11*x + 2 + 0. Let d(w) = -16*w - 6. Suppose 5*i + 25 = 0, -4*k - i = -6*i - 45. Let s = -258 - -265. Calculate k*d(n) + s*p(n).\nAnswer: -3*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.32 + -1.31756. Round x to four dps.\nAnswer: 0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j + 0*j - 2*j - 6 - 4*j**2 + j + 6*j. Let c(h) = -h**2 + h - 1. What is -5*c(v) + t(v)?\nAnswer: v**2 + v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 4\/7, 93, 3 in decreasing order.\nAnswer: 93, 3, 4\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oekk when four letters picked without replacement from {e: 1, k: 11, o: 1}?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 669169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129 = -7*l + 1599. Calculate the highest common divisor of 30 and l.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105 = 3*v - 8*v. Let b(u) = -u**2 + 28*u + 375. Let p be b(-10). Sort v, 5, p, -3 in increasing order.\nAnswer: p, -3, 5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/267306 and 71\/945852.\nAnswer: 12296076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/161, -0.7, -5368 in decreasing order.\nAnswer: -2\/161, -0.7, -5368","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 72*q**2 - 4*q + 5. What is o(1)?\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-6)*n**(1\/6))\/((n\/(n**(-7)\/n))\/((n**(-7)\/n*n)\/n*n)) assuming n is positive.\nAnswer: n**(-131\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -6*s + 4*s - 75, -2*k - 30 = s. Let a be ((-10)\/s - (-30)\/8)\/2. Solve a*b - 4*b + 4 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-8)*1*(-55)\/(-11)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.1 + 1.9. Let g = 0.2 + q. Let w = 248 - 2230\/9. What is the third biggest value in g, w, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -26 + 45. Let d = -6 + 1. Let v(s) = s + 7. Let j be v(d). Solve -z = -4*b + x - 1, j*z - 4 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -231*q**2 - 183*q**3 - 9*q**3 - 50*q**3 wrt q.\nAnswer: -1452","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the second derivative of -d**8\/28 + 239*d**7\/14 + 9*d**4 + d**3\/3 + 1000*d. Find the third derivative of n(u) wrt u.\nAnswer: -240*u**3 + 43020*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*z - 52*w + 54*w, 3*w + 14 = 4*z. Calculate the remainder when 2\/(-1 - 40\/(-38)) is divided by z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -4 - 3*q**3 - 3*q + q**3 + 6*q**2 + 0 + q**3. What is c(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*w - w + 8. Suppose 5*u + w = -7. Which is the nearest to 1\/4? (a) -4 (b) 1\/7 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0008693166 to five decimal places.\nAnswer: -0.00087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 68734931 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = 75*h + 26 + 25. Solve h = 11*q - 23*q + 36 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 320 = -30*a + 28*a, -2*d = 4*a - 622. What is the remainder when a is divided by 148?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11822 - -6411. What is the units digit of 1\/2 + h\/(-14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1241\/(-714) + 4\/7)*(-2 - -1)?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-1\/6)*b**13*(b**4)**(-1\/29) assuming b is positive.\nAnswer: b**(2209\/174)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8198 is divided by 3587.\nAnswer: 1024","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2411111 (base 5) to base 2\nAnswer: 1010110111110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/(-1))\/((-7)\/14). Suppose -p*n = -3 + 3. Suppose n*w + 89 = w. Calculate the remainder when w is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*0.083.\nAnswer: -0.332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 279862987 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - 1. Let x = -0.9984 + 1. Let f = q - x. Round f to 3 decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 35666*k**3*n*u**3*x - 33*k**3*n - 8*k**2*n*u**2 - 21*k**2*n*u*x + 2*k**2*n*u + 377*k*n*u**3*x + u**3*x wrt k?\nAnswer: 213996*n*u**3*x - 198*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 1188?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9.93 + -0.07. Let l = -3.7194 + 0.7194. What is the nearest to -1 in l, 0.1, x?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23141 (base 5) in base 6?\nAnswer: 11423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9772 + 9771.9. Let j = 0.31 - 2.31. Which is the closest to -3\/2? (a) 1\/3 (b) j (c) w (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - 0) + (-15 + 6 - -8).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -30228 (base 12) to base 10\nAnswer: -62528","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (66 + 534)\/40 - 66\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 458 = -1778. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 59 divided by -1.\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0252131517 rounded to six dps?\nAnswer: 0.025213","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*m - 8 = 25*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*m - m + 9*m = -282688. What are the prime factors of m?\nAnswer: 2, 7, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, y: 1, j: 7, g: 3}. Give prob of sequence cggj.\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -7, 1 in descending order.\nAnswer: 1, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70 divided by 5.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 32859?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -24316980, -24316978, -24316976, -24316974, -24316972?\n\"Answer: 2*h - 24316982","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1326 - 560.8674. Let f = 560.94 + r. Is f greater than -14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 167\/145782 and 49\/611?\nAnswer: 6851754","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -2*q**5 - 2800*q**4 - 5584*q**3 + 11200*q**2 + 22368*q = 0.\nAnswer: -1398, -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 AM and 6:37 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(7) + 1*sqrt(7)*1)*6.\nAnswer: 6 + 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q + 10. Suppose 0*y + 935 = 11*y. Suppose -2*s = -71 + y. Let h be g(s). Put h, -4, -10, -1 in increasing order.\nAnswer: -10, -4, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 times -18.9?\nAnswer: -453.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 691 + -145. Let r be 2*(2 - (-13552)\/50). Let w = f - r. Is 1 at least w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -2, 1, 13\/3, -0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3908*o**3 - 6434*o + 130498221 wrt o.\nAnswer: 11724*o**2 - 6434","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2 + 31*o + 3. What is the smallest common multiple of k(31) and 58?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/7, 46, -4, 99, -11, 1?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 + 16 = -5*r. Let x(z) = 1 - 4*z + 0*z**2 + z**2 + 11*z**3 - 10*z**3. Let w be x(3). Solve 5*n = -r + w for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2500323 (base 6) to base 8\nAnswer: 402333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (((-438)\/(-1533))\/(4*(-2)\/84))\/(-15)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q - q - q)*(q + 2*q - q)*(-5*q + 4*q - 3*q)*(1 + 0 + 1).\nAnswer: 48*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -29.3 - -29. What is the nearest to 0 in j, -4\/7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -15\/116 and 35\/667.\nAnswer: 2668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -296, -223, -174, -161, -196?\nAnswer: -291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 538 in -3\/2, -4, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3707 - -2989.2. Round w to the nearest 10.\nAnswer: -720","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5026 to the nearest 100.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1422 and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 96 and 40722498?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 10, v: 1, f: 8}. What is prob of picking 1 r and 2 f?\nAnswer: 280\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2601a (base 13) in base 3?\nAnswer: -10120110201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 - -1718013a?\nAnswer: 17180140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87 is divided by 55.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1.1 or 1\/1336?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = -4*k - 4*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 125\/87864 and -87\/9292?\nAnswer: 204108072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 559815 to the nearest integer?\nAnswer: 748","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 517*w**6 + 55*w**2 + 1.\nAnswer: 62040*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 411 (base 5) to base 8.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*c + 5*c + 4*c**3 + (2 + c - 2)*(-c**2 - c**2 + 4*c**2))*(-c**2 - c**2 - c**2).\nAnswer: -18*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 16 - 1, -27 = 2*u - 3*g. Let n be u\/21 + (-19)\/7 - -2. Let v(c) = 16*c**2 - c. What is v(n)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 4219?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -205\/2, -5, 2\/9, 113\/11, -4\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12231 (base 4) to base 9.\nAnswer: -526","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - (32 - 2)) + 32.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2*(-33)\/44*(-235000)\/3. What is j rounded to the nearest ten thousand?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-476140)\/8950*(-5)\/7.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 l when three letters picked without replacement from {w: 2, l: 3, t: 8, x: 5, o: 2}?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*w + 2*m - 5*m - 24 = -5*m, -m + 20 = -7*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2029*i + 2027*i + 476158 = 0. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22006, 21989, 21972, 21955, 21938, 21921?\nAnswer: 21904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 32*o**3 - 49*o**2 - 7987*o?\nAnswer: 192*o - 98","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(-3) + -378*3. Let d = r + 4491\/4. Find the common denominator of d and (10\/(-7))\/(18\/(-56)).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14194?\nAnswer: 2, 47, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 22 = 5*p, -4*l + 66 = 5*p + 53. Let j be (-1)\/4 - 8610\/(-40). Calculate the highest common factor of j and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + ((-14)\/(-56) - 41\/20)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of -y**5\/12 - 7*y**3\/6 - 3*y**2\/2 + y. Let u(t) be the first derivative of j(t). What is the derivative of u(l) wrt l?\nAnswer: -10*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18478 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -36488 by -1.\nAnswer: 36488","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 4*z**2 - z + 1 + 2*z + 0*z + z**3 + 3*z. Let n be q(-3). Let f = 1 - 1. Which is smaller: n or f?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 289716 and 126.\nAnswer: 869148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -13290, -26 in descending order.\nAnswer: 5, -26, -13290","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o - 6. Let r(d) = -d + 8. Let a(b) = 2*r(b) + 3*z(b). Let u = 13 + -5. Calculate a(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4\/(-5))\/((-2)\/10). Let d be -8 + 2 - (-23 - -7). Let n(s) = s + 5. Let p be n(-5). Solve p = a + v*a + d for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.5 and -25?\nAnswer: 37.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -263650 + 263650.3. Let c be 0 + (1\/(-3))\/(-1). What is the closest to -1\/4 in -1\/16, c, z?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of -4*m**5\/3 + 25*m**4\/12 + 5*m**3\/3 - 25*m**2\/6 + 5*m\/3 + 7. Determine y so that h(y) = 0.\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20*w**2 + 10*w**2 - 2*w**2 - 4*w**3.\nAnswer: -4*w**2*(w + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 717 (b) 3 (c) -0.3 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zii when three letters picked without replacement from sizziisssssszzzi.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, f: 1, s: 2, h: 1, g: 1, p: 1}. Give prob of picking 1 h and 2 s.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4440 and 25530.\nAnswer: 102120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2 + 6*k + 2. Let s(l) = -l**3 - 5*l**2 - 4*l + 5. Let a(b) = 1 - b**3 - b + 5*b + 0*b + 4*b**2. Let h be a(5). Let d be s(h). Give p(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.005528 less than -0.0799535?\nAnswer: -0.0854815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5093577?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1413199.\nAnswer: 29, 48731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 - 11*y**2 - 3*y - 25. Let f be j(-11). Suppose 90 = 2*r + 3*z + f, 4*r - z - 150 = 0. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1924, -3830, -5724, -7600, -9452, -11274, -13060, -14804?\nAnswer: -16500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6585 and 6585?\nAnswer: 6585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (2 + 43)) + -910 + 913?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-6)*27\/12555*-15\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 4*t - 655 = -111, -5*l = 3*t - 1334. List the prime factors of l.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 5*a = f + 14, 2*f = 5*a + 28. Suppose -f - 7 = s. Let p = 31 + s. What is the highest common factor of 25 and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-59 + 132 - 50)*(5 - 2 - 1) - 2 + 6 - 3)*(-2*d - 3 + 3).\nAnswer: -94*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -10409.6*11\nAnswer: -114505.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -159 + -4849.\nAnswer: -5008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(80\/86)*-3858. Let g = 8283 - p. Find the common denominator of g and 107\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by 323.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 9228.263 millilitres?\nAnswer: 9.228263","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.09 take away 46.24?\nAnswer: -38.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from {l: 16, g: 4}.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3022815?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 33 + 37 = 0. Let o = 31 - -9. Let k be -5*12\/o*(-52)\/6. Which is smaller: k or b?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 366*b - 396*b + 353160. What is the tens digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 434, 1179, 2420, 4157, 6390, 9119, 12344?\nAnswer: 16065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - 16 = 6*k - 2*x, -2*k - 11*x = -43 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -12 + (8 - 6) + 7\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-27)\/12*8\/(-6). Suppose -101 = -n*z - 23. What are the prime factors of z?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 3 (b) -2\/5 (c) 0.058 (d) 6\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -26.7 + 21.7. Which is the third biggest value? (a) 4 (b) t (c) -27 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 7*d + 975 = 0. Let j be ((-30)\/(-4))\/(-5)*66736\/516. Is d < j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z + 1. Let d(f) = -2*f**2 + 10*f - 10. Let b(l) = l**2 - 21*l - 56. Let n be b(23). Let i(s) = n*j(s) - d(s). Let p(o) = 2*o. Determine i(p(v)).\nAnswer: 8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -19501984 divided by -4875496\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (15 - 17)*(1\/5 - (-819)\/(-4270)). Suppose 2*s = 5*s. Which is smaller: s or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 48*b**2 + 122*b + 5. Let w(d) = 23*d**2 + 60*d + 2. Give 4*f(p) - 9*w(p).\nAnswer: -15*p**2 - 52*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 39476093 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1520514 is divided by 217?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3446 (base 7) in base 8?\nAnswer: 2353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -186 less than -187?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 434653 and 390875?\nAnswer: 3127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 151 - 146. Suppose 4*o - 45349 = 3*v - 14930, -d*o + 38032 = -v. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z + 1. Let a(b) be the first derivative of 3\/2*b**2 - 1\/2*b**4 - 5*b + 1 + 0*b**3. Let m(n) = -a(n) - 3*c(n). Differentiate m(y) with respect to y.\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(1573) - sqrt(1573)) + 4.\nAnswer: 4 + 22*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120*h = -125*h - 2*m + 17, -11 = -2*h - 5*m. Sort 73, 1, 5, 0, h in descending order.\nAnswer: 73, 5, h, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*s + 72 + 75. Let w be (s\/35)\/(2\/(-10)). Solve -3*m + 6*x - x + 1 = 0, w*x = -4*m + 11 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1313 - -10310112?\nAnswer: 10302133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-31 - -3) + -1 + (80 - 66).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 45\/2 of a decade?\nAnswer: 2700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 12\/3 - -1 - 2. Let g(m) = -m + 1. Let y(n) = -2*n + 2. Let i be 24\/(-228) - (-837)\/(-171). Calculate h*y(s) + i*g(s).\nAnswer: -s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 75\/100 + ((-30)\/20 - 52\/16).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**3 - 4*z**2 + 7*z + 7. Let q be l(-6). What is the tens digit of q*(2 + -3 - -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -79.86143 + 0.90443. Let s = f + 79. Let n = s + 0.035. Round n to 2 decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*d*n**2*t**3 + 2*d*n**2 - d*n + 3*d*t**2 + 152*n**3*t**3 + 2*n**3 wrt t.\nAnswer: 12*d*n**2 + 912*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -26 + 18. Is m greater than -11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3822*v = -2977*v - 76050. Suppose 0 = 2*p + 3*a - 16, -5*p - 5*a + 29 = -3*a. What is the least common multiple of p and v?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 778*r - 27233. Calculate p(35).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 + 9*a**2 + 15*a + 4. Let y be t(-6). Suppose 3*c + y = 5*c. What is the highest common factor of c and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4c218d (base 15) in base 7?\nAnswer: 43020355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17347305 divided by 3469461.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 188 and 94?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l + 33*l + 59*l.\nAnswer: 90*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(0 + sqrt(68) + (sqrt(612) - (sqrt(612) + sqrt(612)*-2 - sqrt(612))**2) + sqrt(17))*-4.\nAnswer: -180*sqrt(17) + 48960","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -40*w**2 + 128*w?\nAnswer: -80","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1403\/1073 - 42\/37. Let d = y + 67\/116. Determine b, given that d + 1\/4*b**2 + b = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f + f - f)*(10*f**3 - 12*f**3 + 8*f**3) + (2 - 6*f + 3*f + 2*f)*(2*f + 2*f**2 - 2*f)*(-12*f - 444 + 444).\nAnswer: 12*f**4 - 48*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 942959 and 1055?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -526 + 19464\/37. Suppose -3*r + 18*r + 15 = 0. Let m be r - 2 - ((-8)\/(-2))\/(-2). Is g bigger than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -27656, -0.1, -1\/11?\nAnswer: -27656","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -3184145\/3 at least as big as -1061382?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/7 + (-1386)\/(-490) + -2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 85791, 79151, 68085, 52593?\n\"Answer: -2213*k**2 - k + 88005","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h**3\/7 - 103568*h**2\/7 + 2486658*h\/7 - 932544 = 0.\nAnswer: -51808, 3, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -222288.688 to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*f = -4*h - 17*f - 4, 5*f - 25 = h. Let z = 2\/67 + 59\/268. What is the second biggest value in -1, 2\/11, h, z?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2198 - -87929\/40. Let r = -1\/128215 - -327845759\/512860. Let b = r + -654. Calculate the common denominator of b and y.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -46 - -89. Let h = 271 - 192. Let t = h - b. Is 18 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -283*k**2*q**2*t**2 + k**2*q*t**2 + 2*k**2*q*t + k*q**2*t**3 + 2*k*t**3 - 11*q*t**3 wrt q?\nAnswer: -566*k**2*t**2 + 2*k*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 123*g - 126*g. Suppose 4*u = 2*r - 5022, g*r - 7525 = r + 4*u. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -296398 + 172?\nAnswer: -296226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 43717253 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 - 16*h - 59. Let z be k(-6). What is the units digit of z - (937 - 4)*(-10)\/15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6968*l + 1833 - 3699 + 1868 in the form g + p*l and give p.\nAnswer: 6968","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 343758?\nAnswer: 2, 3, 23, 47, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 t when three letters picked without replacement from {l: 1, e: 3, y: 2, m: 1, b: 1, t: 5}.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 PM and 10:31 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 48391231, 96782436, 145173629, 193564804, 241955955, 290347076, 338738161?\nAnswer: 387129204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.04? (a) -2\/5 (b) 1\/3 (c) 5 (d) -0.5 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/5 (b) 4 (c) -4 (d) -7.26\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1383 = 2*s + i, -2*i + 5*i - 674 = s. Let c = -694 - s. Sort 3, -1, -2, c in decreasing order.\nAnswer: 3, -1, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6372*a**2 + 12748*a**2 - 2 - 6374*a**2.\nAnswer: 2*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -11 + (-840)\/(-84) + (-5)\/(-3). Let -c*b**3 + 0 + 0*b - 4\/3*b**2 = 0. Calculate b.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -2*x**2 + x + 66. Determine f(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d*d**(11\/2)*d)\/d)\/((d\/(d*d\/d**14*d*d*d))\/d))**(-7\/6))**(-49) assuming d is positive.\nAnswer: d**(-1715\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -3 (b) -0.3 (c) -0.04 (d) -2\/127 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f - 1. Let b be o(1). Let g = 304 - 299. Let j be 13 + -10 + g + -4. Solve -j*c + 6 + 2 = b for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -24772 * 3.\nAnswer: -74316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -397 smaller than 1.14278?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 4*h**2 - 7*h - 16. Is v(7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*x**2 - 34*x**2 - 26*x**2 - 1 + 98*x**2.\nAnswer: 9*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1274)\/364)\/((14\/8)\/1))\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 + 48*v**2 - 96*v + 203. Calculate z(-50).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2 - 11*k - 1. Let c be o(9). Let w = c + 34. Let h(f) = 2*f**2 - 2*f + 3. What is the remainder when h(5) is divided by w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 686 is divided by 97.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (0 + 3 + 9\/(-3))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 3.36\nAnswer: 3.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*r - 44 - 358. Suppose -3*x + 3*c + 291 = 0, 3*c = 2*x - 129 - r. Suppose 3*g - 103 = x. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10579\/37 + -11516720\/40293. Let b = -2\/121 - x. Let t = 0.3 + -0.8. Put -3\/2, b, t in decreasing order.\nAnswer: b, t, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -38*q**2. Let w be a(-3). Let c be (12 + 0)\/(9\/w). Let v be c\/(-32)*8\/3. Calculate the highest common factor of 19 and v.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -46.82 + 47. Let x = k - 0.17999998. What is x rounded to seven dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 z when three letters picked without replacement from jjzmzjzzjmmtmzjmzzzc?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26818.\nAnswer: 2, 11, 23, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 o when two letters picked without replacement from {f: 5, o: 1, b: 1, r: 2}?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7\/(7\/30) - 2.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-4 + -2 + -4 + (sqrt(117) - (sqrt(117) + ((-3 + sqrt(117))*2 - sqrt(117) - sqrt(117)))))**2.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 + 5*q - 4. Give w(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j = 2*b - 2 + 21, -5*b - 13 = -j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 5:54 AM?\nAnswer: 11:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 2:36 PM?\nAnswer: 7:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 179706748 to the nearest integer?\nAnswer: 564","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-77 - -32) + (-19 - -52).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1772 a factor of 37229720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g - 3*g + 7*g)*(3*g**4 + 173*g - 78*g - 6*g**3 - 15*g + 139*g).\nAnswer: 6*g**5 - 12*g**4 + 438*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -16*y**4\/3 - 3194*y**3\/3 + 115888*y**2\/3 - 993280*y\/3 + 118784 = 0.\nAnswer: -232, 3\/8, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 11*s**2 - 8. Let r = -352 + 328. Let a(q) = -q**2 + 1. Give r*a(i) - 3*n(i).\nAnswer: -9*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 782.\nAnswer: 2, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -81 + (-66 - -119) - 31.\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m**3 + 208*m**2 + 5194*m - 11236 = 0.\nAnswer: -53, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 2*o = -148, 4*d + 3*o = -o + 136. Suppose -d = 4*q - 8*q. List the prime factors of q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -203 - 66*d + 109 + 95. Let s(w) = 2*w**2. What is s(h(y))?\nAnswer: 8712*y**2 - 264*y + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -8 from -512.9.\nAnswer: -504.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -2*x + 233, -x = 2*x - 4*i - 375. Let c = 121 - x. Solve 7*l - 10*l = c for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(6) - sqrt(54)) - (sqrt(864)*1 - sqrt(864) - sqrt(864)))*-1)\/((sqrt(108)\/sqrt(4))\/sqrt(9) + 1*sqrt(75)).\nAnswer: -8*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 130 and 110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 41\/(52972\/(-510))*(-8)\/(-20)?\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*q = 26*q + 20 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6176 divided by 625.\nAnswer: -6176\/625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1844933 to the power of 1\/5, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 89526856?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 + 10. What is the closest to 25 in y, -2\/7, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -7*y**2 - 19*y - 26. Calculate k(-2).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3774860595?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the third derivative of x**9\/4536 - x**7\/1260 + x**3\/3 + 3*x**2. Let i(j) be the first derivative of v(j). Factor i(n).\nAnswer: 2*n**3*(n - 1)*(n + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v**2 - 69988*v - 23669760 = 0 for v.\nAnswer: -17152, -345","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) -2 (c) -41 (d) 0 (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 21548.535 months?\nAnswer: 179.571125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 - 0.022918.\nAnswer: 0.177082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 111 (base 2) to base 5\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -452748*r**3 - 169392*r**2 - 2*r + 2?\nAnswer: -2716488","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (-5 - -1 - (-11 + 5))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1116633 (base 8) to base 10.\nAnswer: 302491","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21*((-2)\/(48\/66) + (-124)\/(-48)).\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11 and 12417?\nAnswer: 136587","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 151398048 and 720?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 703*r + 7252. Let m(x) = -2*x + 28. What is -518*m(f) + 2*s(f)?\nAnswer: 2442*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 8, f: 3}. What is prob of picking 1 i and 1 f?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**2 - r + 2*r - 5*r. Let m be y(-5). Let g = 0.049 + -0.049. What is the nearest to -2 in m, g, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 63*c. Let r(t) = -41*t - 258*t + 292*t. What is j(r(q))?\nAnswer: -441*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 162 + -148. What is the least common multiple of u and 22?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.218656935 rounded to two decimal places?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1721*z**4 + 1239 wrt z.\nAnswer: -6884*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -932?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -243*u - 2901 - 2579 = -863 for u.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -8437, -33743, -75921, -134971?\n\"Answer: -8436*n**2 + 2*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 390, 391, 392?\n\"Answer: o + 389","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3a + -45?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 15097 to the power of 1\/2, to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -25*r + 31. Let h(q) = -25*q + 35 - 25*q + 26. Let x(f) = -2*h(f) + 5*l(f). Find the first derivative of x(z) wrt z.\nAnswer: -25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 321?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1808*t = 729 + 4695 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of -5*y**4\/24 + y**3 + 2*y**2\/3 + 52. Factor h(o).\nAnswer: -o*(o - 4)*(5*o + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 184 and 46.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v = -3*v. Find the second derivative of -5*s - 4*s**3 + s + v*s - s**3 wrt s.\nAnswer: -30*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.12 and -25.8533?\nAnswer: 3.102396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 26 = 6*q - 35. Solve 6*u - 4*u + 8 = 5*s, -2*s = -u - q for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -1\/4, 53, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 + (-10)\/4)\/(-2). Put 0.3, b, -0.5 in increasing order.\nAnswer: -0.5, b, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 44231, 44239, 44257, 44291, 44347, 44431, 44549, 44707?\n\"Answer: g**3 - g**2 + 4*g + 44227","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) -5\/4 (b) 1\/3 (c) 0 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 - -0.17066159256743.\nAnswer: 5.17066159256743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 106630249?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 4 (b) -0.1 (c) 0.32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.0610296344 - 81?\nAnswer: -86.0610296344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 3*o + 74 + 146, -3*x = -3*o - 138. Let b = -115 - -132. Let d = x - b. Is 12 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-4)\/3)\/((-8)\/5220*5)?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 390 and 371010?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 AM and 7:39 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 AM and 11:55 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 177045 divided by 5\nAnswer: 35409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-2\/25)\/q)**(3\/5)\/(q**39\/(q*q**12*q)))**(-24\/11) assuming q is positive.\nAnswer: q**(76944\/1375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -83608, -83688, -83780, -83890, -84024, -84188?\n\"Answer: -c**3 - 73*c - 83534","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -5*d + 2*d. Suppose 0 = 3*m - d*l - 74, l - 5*l = -2*m + 48. Suppose 240 = -m*r + 31*r. Is r a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 7*t + 2 + 2 - 15*t + 7*t. Let v be u(17). Let b = v - -18. Solve b*r - 2*k = 7, -2*k - 2 = -3*r - 1 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61231204.\nAnswer: 2, 41, 373361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 371361 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**2 + 1. Let x(t) = 8*t**2 - 7. Let a(j) = -14*f(j) - 2*x(j). Let d(k) = -5*k + 755 - 755. Give a(d(l)).\nAnswer: -50*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c + 355. Is n(0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21725\/1185)\/((-25)\/(-15)*1).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3044, -3156, -3268, -3380?\n\"Answer: -112*u - 2932","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 849786?\nAnswer: 2, 3, 7, 20233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -10100 (base 2) in base 12?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 128401948 and 622.\nAnswer: 622","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19247272703\/195 + -98704282. Let y = z + 4084\/13. Let x = 28\/5 + y. Do x and -2\/9 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -89 + 94. Suppose -3*p - 2*p - 2 = -4*s, -3*p - 9 = -h*s. Factor -2\/17*x**p - 6\/17 - 8\/17*x.\nAnswer: -2*(x + 1)*(x + 3)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 9*d - 34. Let n = 13863 + -13872. Give u(n).\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1180339739 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000069599418 to seven dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-4) - -1*(-2)\/(-40)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mma when three letters picked without replacement from mmmmmaxxxmmmxxx.\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -250*p. Let q(c) = 2*c**2 + 2*c + 2. Let o(w) = -2*w**2 - 3*w - 3. Let h(u) = 2*o(u) + 3*q(u). What is h(a(i))?\nAnswer: 125000*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 99434910 and 1740.\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -800*o**3 - 8571*o**2 + 3738025*o wrt o?\nAnswer: -4800*o - 17142","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 59592*h**3 + 4*h**2 + 680407 wrt h?\nAnswer: 178776*h**2 + 8*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2 - -5.81\nAnswer: 3.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 3*h - 17 = 0, -3*d = -2*d + h - 9. Solve -2\/9*q**d - 8\/9*q + 2\/3*q**3 - 4\/9*q**4 + 0 + 8\/9*q**2 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1273 + -877. Let f = 585 - w. What is the remainder when f is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/2 of a litre?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17, 3, -35, -109, -231?\nAnswer: -413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2432 is divided by 795.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -6*u + 11. Let c(s) = -s**2 - 5*s - 3. Let g be c(-3). Let n be ((-55)\/5 + 3)*-29. Let l(k) = -228 + 4*k + n - 4*k - 2*k. What is g*o(y) - 8*l(y)?\nAnswer: -2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 128723 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z, 1 c, and 1 d when four letters picked without replacement from xxcjzdvvvjzxcvcz?\nAnswer: 9\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0, 5, -15, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28*0.3294.\nAnswer: 9.2232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve q**2 + 105583*q + 1689072 = 0.\nAnswer: -105567, -16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 325 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/5721856 or 1?\nAnswer: -1\/5721856","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -6*b**2 + 0 + 0. Let v(y) be the second derivative of y**3\/6 - 15*y. Give v(g(a)).\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z = 2681 - 297. What are the prime factors of z?\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3 - 1) + 16\/(-10). Let o be 15\/((-600)\/20) - 0. Which is the nearest to o? (a) 13 (b) -2 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 260*c - 281*c = 252 for c.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 445*l - 11088. What is y(24)?\nAnswer: -408","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3974 is divided by 3872?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - (10 + 15)) + 19.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 5*a**3 + 14525675*a**2 + 10549725396000*a - 52748990122500 = 0?\nAnswer: -1452570, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, r: 3}. Give prob of sequence rnrr.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 PM and 1:34 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4157*n + 2214*n - 9945 = -2606*n for n.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.14 - -3.14. Let u = -167\/144 - -15\/16. What is the nearest to 0 in a, 3\/5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 274 = 21*l - 19*l. Suppose 9 = 4*m - 7. What is the derivative of -l + 129 - 14*v**4 + 4*v**m wrt v?\nAnswer: -40*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.95 + 1. Let b = z + -5.05. Let c = -0.48 - 0.02. Sort 2, c, b in descending order.\nAnswer: 2, c, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 + 15. Suppose y*h = 5*i - 18, 56 = 5*i + 3*h + 17. Are i and 5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 + -6251.5361.\nAnswer: -6251.7361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4125060 rounded to the nearest one hundred thousand?\nAnswer: 4100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = -2*n + 38, -555*g + 558*g + 27 = -3*n for g.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*d**2 - d**2 - 3*d**2.\nAnswer: 5*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 232347.\nAnswer: 3, 41, 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -22*g - 4169. Calculate n(-190).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5023 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 v, 1 r, and 1 u when four letters picked without replacement from {q: 1, b: 1, h: 3, r: 1, u: 1, v: 5}.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 24*m + 20*m = -220, -2*l - m + 140 = 0. What is the highest common divisor of l and 680?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -212234, -7.\nAnswer: -212234, -7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4370385928.\nAnswer: 2, 19, 2441, 11779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1121628 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: Let f = 5096 + -2615. Is 32 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 2*o = -10. Suppose 4*r = -r + o. Let m be (48\/9)\/4*3. Solve 8 - 2 = -m*h + 2*x, 2*h - 12 = -r*x for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*h**2*k**2 + h**2*k*o**2 + 26*h**2*k*o + 1077*k**2*n + 3*k**2*o**2 + 4*n + 6*o**2 wrt k.\nAnswer: -8*h**2 + 2154*n + 6*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -14, 0, 4, -29, -6 in decreasing order.\nAnswer: 4, 0, -3, -6, -14, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -244617 - -2?\nAnswer: -244615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22040845*q**2 + 22040845*q**2 + q**3.\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 3:26 PM?\nAnswer: 6:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2296931*q**6 + 539992*q**2 wrt q.\nAnswer: 275631720*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -695*k - 27. Let n be a(-2). Suppose -26163 = -32*m - n. What is the tens digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2730, 3489, 4208, 4887?\nAnswer: 5526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + -356743?\nAnswer: -356745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 521808 and 3186756?\nAnswer: 89229168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2, 1, 8, 29, 70, 137, 236?\n\"Answer: b**3 - 2*b**2 - 2*b + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -412 + 409.29. Let z = 2.86 + x. Sort z, -0.2, -2 in increasing order.\nAnswer: -2, -0.2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**1\/r**(-1\/2))\/((r*r\/r**(-5))\/((r*((r**(1\/5)\/r)\/r)\/r)\/r)) assuming r is positive.\nAnswer: r**(-83\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 15280, 15270, 15250, 15220, 15180?\n\"Answer: -5*y**2 + 5*y + 15280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 4708263, 9416527, 14124793, 18833061, 23541331, 28249603, 32957877?\n\"Answer: d**2 + 4708261*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 PM and 11:19 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 69.18538l in millilitres?\nAnswer: 69185.38","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*v**4 + v**4 + v**4 - 14*v**3 + 2*v**2 - 2*v - v**4 to p*v**4 + g*v**3 + n*v**2 + y + h*v and give g.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -76\/9 and 107\/1450794.\nAnswer: 4352382","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + -e37cb2?\nAnswer: -e37cb1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 130*i - 1403 = 56 - 159. Is i < -430?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 418 and 23274810.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 993 = -5*x, -4*x - i = x - 1002. List the prime factors of x.\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-3\/8)*q)\/q)\/(q**(-2\/11)\/q) assuming q is positive.\nAnswer: q**(71\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = 4*l - 44. Let z(g) = 13*g - 175. Let y be z(38). What is the highest common divisor of y and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*i = -25*i + 63 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 352 divide 424517280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + 2*x - 1204, 4*b = 2*b + 4*x + 792. Suppose 104 = -8*a + b. Calculate the least common multiple of 6 and a.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 50105*g**3*t + 3636*g**3 wrt t?\nAnswer: 50105*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 AM and 6:45 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -270 (base 15) to base 6.\nAnswer: -2323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/(g\/g**(-8)*g))\/((g*g*g\/(g*g\/(g*(g\/(g**42\/g))\/g)))\/g*g) assuming g is positive.\nAnswer: g**31","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a**2 + 65*a - 70 = 0. What is a?\nAnswer: -14, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 433d (base 15) to base 11\nAnswer: a76a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -831977135*m**2*n + 14381*m + 43*n + 218 wrt m.\nAnswer: -1663954270*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 38.23227l?\nAnswer: 38232.27","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 4478?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 64195*g**4*t + g**3*t**2 - 1805544*t**2 with respect to g.\nAnswer: 256780*g**3*t + 3*g**2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 + -7. Suppose 2*c + 4*k - 16 = 0, 3*k = -a*c - 0*k + 12. Let v = 2 - c. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 3 - 22 = 5*f, 4*f = -5*t + 16. Calculate the common denominator of (-16)\/56 - 38\/112 and t\/18 - (-750)\/756.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.05 (b) 5\/148 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.3158 + -1.5158. What is the closest to 0.2 in -2\/97, -1, 2\/11, n?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) 4991 (b) -9 (c) -24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-47)\/m**(-16) assuming m is positive.\nAnswer: m**(-31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 17, o: 2}. Give prob of picking 3 q and 1 o.\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14154, 14072, 13990?\nAnswer: 13908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o**4\/2 + 2267*o**3\/2 - 20089*o**2 - 342184*o + 755664 = 0. What is o?\nAnswer: -12, 2, 28, 2249","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -444 + 441. What is the hundreds digit of (-10 - -13)\/(-9) - 3100\/a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -270 = 3*a - 9*a. What is the smallest common multiple of a and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 1)*(2 - 3*m + 0 - 4)*(-4 + m + 4 + (-m + m - 3*m)*(2 - 3 - 5)).\nAnswer: -57*m**2 - 38*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 177002?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 20423 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: Calculate -2 - ((-1 - -2) + 4 + -7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 158f (base 16) to base 5\nAnswer: 134034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/42 and -17\/21?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes after 2:15 AM?\nAnswer: 7:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2a9 (base 11) to base 7.\nAnswer: -1024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/5 of a milligram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.09 plus -0.4?\nAnswer: -3.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41 is divided by 16?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21484.\nAnswer: 2, 41, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 2*f**2 + 20*f + 8. Is l(-10) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 848908?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 97 - 69. Suppose 12 = -3*s + s. Let y(w) = w**2 + 3*w - 8. What is the remainder when f is divided by y(s)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -114013142 at most -114013137?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 3*r - 4*j, 2*j = 3*r + j + 8 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2243611?\nAnswer: 43, 52177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -19*w - 13*w + 34*w + (4 + w - 4)*(-1 - 1 + 1)*(2 + 0 - 3).\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2*(5\/(-10))\/((-3)\/(-6)). Sort l, -5, 3 in ascending order.\nAnswer: -5, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*i**2 + 1158*i + 111747 = 0. What is i?\nAnswer: -193","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - l = 4. Let -6*x**4 - 11*x**3 + l*x**2 + 8*x**3 + x**2 = 0. Calculate x.\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -60, 6, -6, -2, 1 in descending order.\nAnswer: 6, 1, -2, -6, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*z + 4*x + 69 = 0, -z + 486*x - 490*x = -21 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooododdddo. What is prob of picking 2 o and 1 d?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, i: 4, k: 3, m: 1, a: 2, j: 1}. Give prob of sequence pam.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*w - 20 = 35*w. Suppose 0 = -h - q - w, -4 = 2*h + 3*q + 4. Let j(g) = 1. Let s(z) = -z**3 + 5*z**2 + 5*z + 4. Let p(y) = h*j(y) - s(y). Give p(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - w = -28. Let g(i) = 2*i**2 + 2. Let m be g(-4). Let x = m - w. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from doddddddoddo. Give prob of picking 3 d.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -3*a, -c - 2*c - 5*a + 323 = 0. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 10\/3 - (-14)\/21. Suppose -r = -4*w - 4*b, -3*w + 7*b - 3*b = 11. Does 13 divide (-2)\/(w\/23*1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - 3)*(3 + 2*x - 3) + x - 2*x + 0*x + (5 + 2 - 4)*(x - 4*x + 4*x) to the form j + p*x and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1000862 (base 9) to base 10\nAnswer: -532145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-155)\/10 - 1)\/((-9)\/(-12)) - -6?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**5 + 226856*l**4 + 58351344*l**3 + 5013127136*l**2 + 143636710144*l.\nAnswer: 4*l*(l + 86)**3*(l + 56456)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of -w**7\/2520 + w**4\/6 + 3*w. Let v(f) be the third derivative of k(f). Let z(l) = l**2. What is z(v(a))?\nAnswer: a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 247459 is divided by 245.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -2*r**2 + r - 2. Let p(v) = -v**2 - 1 - 6*v + 5 - 7. Let y be p(-5). Give x(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -27*n**4*s + 370*n**4 - 9366*s wrt n.\nAnswer: -108*n**3*s + 1480*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 13*k**2 - 2*k + 8. Let o be (-1)\/(3 - 88\/28). Is d(o) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -25 - -25.1. Let h(q) = -q**3 + 5*q**2 - 6*q + 3. Let o be h(4). Which is the closest to z? (a) 0.3 (b) o (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) + 0 + 4 - (sqrt(99) - sqrt(99)*-1)*4)**2*4.\nAnswer: -672*sqrt(11) + 19468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(228\/(-75) - -3). Is 2\/(h\/(-23) - 1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**2 - 8*m + 7. Let p be (14\/3)\/((-12)\/(-18)). Let f be d(p). Does 11 divide 29 - (2 + (-1 - f))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xwwx when four letters picked without replacement from {w: 2, x: 4}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -765, 9, -254.\nAnswer: -765, -254, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8968 is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -836 greater than or equal to -395572\/473?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18 - -19. Let s(o) = o + 0*o - 6*o + x - 2*o. Determine s(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17 - -20. Suppose 2175 = c*k - 6252. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -653 + 2814 - 5*t - 1503 - 658 - 5*t.\nAnswer: -10*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 135 (base 7) to base 10.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 5*s + 17. Suppose -2*p + 3 = h - 11, 0 = -4*h - s*p + 50. Solve -2*j - b = h + 1, 25 = -5*b for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**2 - 24*s - 128. Let i be n(-8). Solve -2*l + w + 15 = i, 171*l - 174*l + w = -20 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22750 divided by 250?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-25)\/5 - 4)*25500*-20. Round r to the nearest one hundred thousand.\nAnswer: 4600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.078465 - -0.0995. Round m to 4 decimal places.\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 60 - 81 = -3*x, k - 77 = -6*x for x.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -62, -140, -230, -332, -446, -572?\n\"Answer: -6*p**2 - 60*p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of 466*w**3\/3 + 224*w**2 - 217*w + 2. Differentiate x(s) wrt s.\nAnswer: 932","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert b8986a (base 13) to base 3.\nAnswer: 22011012000201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 2303?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-28)\/(-16) + 2\/(-16)*-2. What is the third derivative of 41*q**3 - 106*q**2 - 110*q**z + 212*q**2 wrt q?\nAnswer: 246","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1574.02446 to the nearest 100.\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 3*f - 16. What is u(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 2 = -o, 4*p = -5*o + 4*o + 5. Is o greater than or equal to 1\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2509039 or 2509014?\nAnswer: 2509014","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -52813 + 10614438.\nAnswer: 10561625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 108 + -1295\/12. Let a(l) be the second derivative of 0*l**2 - s*l**4 + 0*l**3 + 0 + 6*l. Let t(r) = -2*r. What is a(t(v))?\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3730\/1625963 or 0?\nAnswer: 3730\/1625963","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u + 1. Let s(p) = p**2 + 9*p. Let h(x) = -s(x) + 2*v(x). Suppose 50*t = 48*t. Suppose 0 = -2*c - 4, -4*c = -4*k - t*c - 12. What is h(k)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of j*y**3 + 2203*j*y**2 - j*y + 2*j + 13*y**3 + 10890*y - 68 wrt y.\nAnswer: 6*j*y + 4406*j + 78*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -618, -1\/4, -0.1, 2\/757?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 341722741 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -9\/2 (b) 1 (c) 5\/4 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -2*t**2 + 6*t - 3. Let z be v(2). Let a be z + 7\/(-14) - 6\/(-4). Suppose y - 20 = 5*h, 0 = -2*y - 2*h - 1 + 5. Sort 4, a, y in ascending order.\nAnswer: a, 4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2\/5 - 5775424*a\/5 - 4169440297472\/5.\nAnswer: -2*(a + 1443856)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*(l\/(l**(-8)\/l*l*l))\/l*l*l)\/l**(-5))**(10\/11) assuming l is positive.\nAnswer: l**(150\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 7 - (2 + -3 + 5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 56\/45 (b) 3\/5 (c) -3\/8 (d) -62\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 7*g**3 - 8*g**3 - 926*g + 927*g - 1 + 4*g**2. Suppose 0 = -2*n + c + 8, 6 = -5*n - c - 3*c. What is z(n)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and 14822955.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yho when three letters picked without replacement from {o: 2, h: 1, s: 2, j: 1, y: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12548*w**2 - 12935*w**2 + 25472*w**2.\nAnswer: -11*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2601 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v = 2*v + 30. Solve v*q = q - 8 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 6732536\nAnswer: 1\/1683134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 2*r - 68. Let q = -17 + r. Suppose s = 16 + q. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 90 (b) 4 (c) -1 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that r**5\/5 - 51*r**4\/5 + 723*r**3\/5 - 1873*r**2\/5 + 1776*r\/5 - 576\/5 = 0.\nAnswer: 1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19658070 is divided by 223387?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*w - 3*w + 2*w.\nAnswer: -5*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1\/6)\/w)\/w)\/(w\/(w*w**(-2)*w))*w\/(w\/w**(3\/5))*w\/w**(3\/8) assuming w is positive.\nAnswer: w**(-233\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/(-12))\/((-510)\/40) + 69\/153\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uujo when four letters picked without replacement from {e: 1, u: 10, j: 1, o: 2}?\nAnswer: 15\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -0*t + 319. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3872 = -136*k + 125*k. Does 4 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pg when two letters picked without replacement from {p: 12, a: 7, g: 1}.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(2\/11)\/b**(-19) assuming b is positive.\nAnswer: b**(211\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 9845365121 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.010737362 rounded to 4 decimal places?\nAnswer: -0.0107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1711 and 0.3.\nAnswer: 513.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*o - 5852 = -33*o. Calculate the greatest common factor of o and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.19 (b) 0.13 (c) 0 (d) 3\/13 (e) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 5*l = 99 + 51, -5*d - 3*l + 706 = 0. Let c be 2\/(-11) + d\/44. Let o = c - 9. Are -6 and o unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1\/3*a**4 + 0*a**3 + 0 + a**2 - 2\/3*a = 0. What is a?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2563286 and 13266?\nAnswer: 1474","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hlxf when four letters picked without replacement from xhxpllf?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/7, 1, 0, -0.559, -1\/5 in decreasing order.\nAnswer: 1, 0, -1\/5, -3\/7, -0.559","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -3*n - 2*t + 8, -3*n = -t - 33. Let z = -15 + n. Put z, 1, -2 in decreasing order.\nAnswer: 1, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 474197060?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 7*t + 15 = 0, 2*t - 5599994 = -n. Round n to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7882678?\nAnswer: 2, 1129, 3491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3, -19, -61, -117, -181?\n\"Answer: c**3 - 16*c**2 + 19*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/((-1068)\/(-9))*(-43)\/((-2480670)\/(-60)). Which is bigger: f or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = -3*k - w, 11*k - 31 = 8*k + w. Suppose -k*r + 8381 = -25087. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 40*w + 7. Let o(j) = -75*j - 13. Let p(s) = 11*b(s) + 6*o(s). What is p(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**2 - 3*x - 1. Suppose 4*j + 3*b = -0*b + 4, -2*b = 4*j - 8. Suppose -1 = f, 0*t - t + 3*f + j = 0. Let c(l) = l. Calculate t*m(q) + c(q).\nAnswer: -q**2 - 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is 65.3966557 rounded to two dps?\nAnswer: 65.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.07 and -60336848.\nAnswer: 4223579.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5482?\nAnswer: 2, 2741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-1\/4))\/l)**(-1\/10)*l*l**(-12)*l*l**(-7)*l assuming l is positive.\nAnswer: l**(-639\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1253 + -21061.\nAnswer: -22314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2 - 1. Let o(u) = u - 2. Suppose -5*s = -3*g + 34, -g = 4*s + 19 - 2. Let f = g + -5. Calculate f*d(y) + o(y).\nAnswer: 2*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*u - 96*u + 31*u = 33*u + 9765 for u.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 22, 39, 52, 61, 66, 67, 64?\n\"Answer: -2*j**2 + 23*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.0640028 + -2751242.0640028. Let y = -2751191.999845 - f. Let k = 50 - y. What is k rounded to 5 decimal places?\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100100100100111010 - 101001?\nAnswer: 100100100100010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three halves of a microsecond in nanoseconds?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(1\/12*4). Suppose 0 = 3*p - 2*p + 1, -5*p = -5*j - 35. Let w(g) = 5*g. Let z(f) = 2*f. Calculate i*w(s) + j*z(s).\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1434 = 41*r - 44*r. Let h = r - 475. Solve 3*n - 8 = f + 2*n, 0 = -h*f + n - 16 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 455 and 1456?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2520*x + 88 = 5040*x - 2524*x for x.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2263640, -4527265, -6790874, -9054461, -11318020, -13581545?\nAnswer: -15845030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -7*i + 2*i. List the prime factors of i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88055737 a multiple of 4081?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 155 - 156 + 2*c**2 + 3*c**2 - 39*c**3 - 2*c**2 to the form x*c**2 + w + h*c**3 + d*c and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2778?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffffbfffbffffeefefb. What is prob of picking 1 b and 1 f?\nAnswer: 13\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + -10. Let k be i + 9 + (-1)\/(-1). Is 10 a factor of 36\/2 - -1*k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2 - 6*b + 9. Let f be m(-7). Suppose -f*l + 3 = l. Let w(j) = -j + 8. Let a be w(9). What is the closest to l in a, -0.5, -5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 35*w - 2. Suppose 23 = 5*g + 8. Let c be a(g). Let x = c - 58. What are the prime factors of x?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/(n*n**8)*n*n**(-1)*((((n\/(n\/n**2))\/n)\/n)\/n)\/(n*n**(1\/4)) assuming n is positive.\nAnswer: n**(-41\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*h + 78*h - 31*h as z*h + b and give z.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 25, 0*w - 192 = -w - v. Calculate the highest common divisor of 17 and w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 402?\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 871?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 265 + 240 + 252 + v + 255 - 1053.\nAnswer: v - 41","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**2 + 8*b + 4. Let g be t(8). Suppose 3*y = -u + 15, -y + 5 + 0 = -g*u. Suppose -3 = 4*f + 5*s + y, 2 = 2*f + s. Solve -f + 1 = r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -138.795 rounded to the nearest integer?\nAnswer: -139","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 294029781?\nAnswer: 3, 98009927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13.077 + 13.99. Let b = -12.931 + y. Let q = b - -11.9. What is q rounded to two decimal places?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1063, 2135, 3207?\n\"Answer: 1072*p - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*w + 41*w**2 - 14*w**2 - 53*w**2 to j*w**2 + t*w + z and give t.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -5*h**2 + 469495*h - 13611150 = 0.\nAnswer: 29, 93870","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 54 - 53. Solve -2*k = t - 7 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 + 24*a + 102. What is v(-19)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c**2 + 21 - 21 - 17*c - 20*c.\nAnswer: -c**2 - 37*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 617563651 to the power of 1\/3, to the nearest integer?\nAnswer: 852","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 30\/3 - (561 + -36)\/35 - 0\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -122102 + -1211?\nAnswer: -201020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -59? (a) 0.07 (b) 1 (c) -0.3 (d) -1\/6 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -369 divided by 5.\nAnswer: -369\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -59 + 69. Let d be (4 - c - -3)\/((-1)\/9). Suppose -4*f + 5*n = -153, -3*f + 5*n = -2*f - d. Calculate the highest common divisor of f and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 2 = 0, -6*o + 4*o - 2 = 4*w. Let d(x) = 6*x - 2. Let s be d(2). Let y = o + s. Is y a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/(-14) + (-1350)\/35. Let m be (-6)\/4*(-572)\/k. Let v = -11 - m. Is 4 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1188)\/(-12) - (-10)\/(-5). Let x = b + -90. Let v be (-258)\/(-9) - (-4)\/(-6). What is the greatest common divisor of x and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-7 - (-4 + 7))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.129 in 0.3, -5, 1, -0.5, 0.142, -0.2?\nAnswer: 0.142","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2 - 64*b + 148. Let x be s(-66). Solve 2*z - x + 14 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92112389 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 962*h**2*q - 3*h**2 - 20602*h*q wrt h?\nAnswer: 1924*q - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14078156.\nAnswer: 2, 3519539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2.1 times 9\nAnswer: -18.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1149178402.\nAnswer: 2, 574589201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -65 and -0.0486?\nAnswer: 3.159","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 8) to base 10\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000003527324 to 7 dps.\nAnswer: 0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j**0\/j*j**(-1))**(4\/11)*(j**(-2\/7))**(-5\/7)\/(j**(-4\/5)\/(((j\/j**(4\/3)*j)\/j)\/j*j)) assuming j is positive.\nAnswer: j**(493\/735)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i**2 - 2*i**3 + 0*i**2)*(-4*i - 9*i - 8*i) - 4*i**2 + 0*i**4 + 2*i**2 - 2*i**4 + (i**2 + 0*i**2 + 0*i**2)*(3*i - 3*i - 3*i**2).\nAnswer: 37*i**4 - 2*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1545840 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (54\/(-16))\/((-219)\/(-292))*(-4)\/15\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -142409.2 take away -21.437?\nAnswer: -142387.763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 349*q - 55207 = -61489 for q.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15830 is divided by 5273.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 49 + (13 - (-17 + 35 - 11)).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -0.01, 3\/8, -5?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-2\/7)\/((j\/j**2)\/j*j)*j**(2\/5)*j*j**(-3)*j*(j*j**(-11)*j*j\/j**4*j)**41 assuming j is positive.\nAnswer: j**(-15781\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44911*-0.0476.\nAnswer: 2137.7636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.8 times -1.2643?\nAnswer: 2.27574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26341*d + 4 - 4 - 95009*d.\nAnswer: -121350*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-23)\/5 - -3)\/(17*22\/935)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-3)\/(-6)*2)\/(-1). Let b(q) = 12*q. Let y(l) = -12*l. Let k(v) = 3*b(v) + 4*y(v). What are the prime factors of k(c)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 768861 and 5.\nAnswer: 3844305","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6764.333 nanoseconds in seconds?\nAnswer: 0.000006764333","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1325 + 664. Let i = -67 - p. Let m = -388 + i. List the prime factors of m.\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 154\/(-33)*27\/(-6). Find the first derivative of 6 - 13*u - 39*u + 9*u - t wrt u.\nAnswer: -43","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 1868 = v, -3*t = -3*v - 0*t + 5694. List the prime factors of v.\nAnswer: 3, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2960 and 11840.\nAnswer: 11840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/9? (a) 0.4 (b) 7 (c) 0.1 (d) 11934 (e) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 AM and 4:16 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (96\/(-15))\/(78\/(-65)) + -4. Sort 3\/104, r, -2.\nAnswer: -2, 3\/104, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 16*o**2 - o. Let x(f) = -17*f**2. Calculate s(x(w)).\nAnswer: 4624*w**4 + 17*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g + 9. Let b be a(0). Let p be (b\/15)\/((-3)\/(-15)). Find the third derivative of -5 - 3*o**2 + 2 + 3 + p*o**3 wrt o.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 33826195?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 + 7*g**2 - 9*g - 8. Let h be t(-8). Let i be h - (-12 + (2 - -3)). Suppose 2*r = -5*r + i. Solve -z - 4*d - 6 = 0, 3*z + 2 = 3*d - r for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1060646?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (9 - 18\/6) + 4*-1. Solve 3*r + n*r = 5*m - 45, -4*m + 12 = 2*r for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.069 - -2.069. What is the smallest value in q, 7, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -20, 8 in descending order.\nAnswer: 8, 2, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (18479 - -81) + (-8)\/(-2). Calculate the highest common factor of 204 and z.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 71 - 16 = 0. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -19*u**2. Let k(m) = 95*m + 1. Give k(j(h)).\nAnswer: -1805*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7 + -61364?\nAnswer: -61371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1390, -1395, -1400, -1405, -1410?\nAnswer: -1415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s**2 - 8*s**2 - 15*s**2 + (2 - 2 - s)*(-2*s + s - s) - 2*s**2 + 5*s**2 + 0*s**2.\nAnswer: -20*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.43 + 0.07. Let y = o + -1.7. Which is the second biggest value? (a) y (b) -0.1 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 165288?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 25 = -5*l, -5*u = -3*l - u + 29. Solve -l*x - 2*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 34\/278343 and -47\/587613.\nAnswer: 5288517","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 51 + 14. Suppose 2*n - 40 = 3*g, 23 = -g - g + 5*n. Let h be 6\/12 + (-6)\/4 - g. What is the greatest common factor of h and k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k + 4*k - 8*k + 1 - 2*k + 2444*k**2.\nAnswer: 2444*k**2 - 8*k + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -11 - b?\nAnswer: -1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, o: 1}. Give prob of sequence tt.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6.2 - -6. Let l be 26\/(-8) + (3\/3 - -2). Suppose -5*k + 3 = -0*k + v, -5*k + 9 = -2*v. What is the nearest to k in -3, f, l?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 385760 and 32510?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 15 (base 13) to base 7\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -5*b + 1795, -459 = -4*i - 5*b + 981. Suppose 4*u - 14*u + 2 = -18. Let n(v) = -349*v + i*v - 4 + v**u - 5. What is n(-7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 4, e: 4, g: 11}. What is prob of picking 2 e and 2 g?\nAnswer: 55\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -107 - 78*r - 68*r + 151*r + 170.\nAnswer: 5*r + 63","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in seventy-five sevenths of a week?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2234 + 1 + -2 + 12\/(-4). Round z to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + (-1 - 6) + (84 - 79) + 16?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1081*j - 1089*j - 1041*j + 35*j**2 - 1083*j + 4294*j + 37*j**2.\nAnswer: 72*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 37, 153, 269, 385, 501, 617?\n\"Answer: 116*i - 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12040 - -12059. What is the greatest common divisor of g and 62928?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 6\/58901?\nAnswer: 6\/58901","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 + 4*g**2 - 9*g - 36. Let j be x(-4). Suppose -34*m + 29*m + 5755 = j. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 18 = -52*h + 54*h, 4*h - 48 = -11*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26*-9.9.\nAnswer: 257.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 47789050 to the nearest integer?\nAnswer: 363","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3)\/(-4))\/((-5)\/(-20)). Suppose -d*v - 43 = -5*c, 6 = 2*c + 4*v - 6. Let s = -5099 - -5128. What is the remainder when s is divided by c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 148920818?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -449 = d - 144. Let i = d + 1108. Suppose 3*l - i = 2*j, 5*l - 967 = 4*j + 374. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 4*h - 19. Let g be t(5). Solve -g = -10*c - 31 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/7*n**3 - 4\/7*n**4 + 8\/7*n**5 + 0 + 0*n**2 + 0*n.\nAnswer: 4*n**3*(n - 1)*(2*n + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the second derivative of o**5\/5 - 17*o**4\/12 + 23*o**3 + 4*o + 4. Find the second derivative of l(d) wrt d.\nAnswer: 24*d - 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2342, 4659, 6972, 9281, 11586, 13887, 16184?\n\"Answer: -2*u**2 + 2323*u + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2*(572\/(-192) - (1 + -4)). Let a(f) be the third derivative of 0*f - 1\/6*f**3 - 1\/30*f**5 + 0 + 2*f**2 + b*f**4 - 1\/60*f**6. What is a(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3878961 to the power of 1\/2, to the nearest integer?\nAnswer: 1970","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 3 w when four letters picked without replacement from wwwywwwwywwwwwwy.\nAnswer: 33\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -17*l + 51. Suppose 7 = w + 6*c - 11*c, -5*c - 15 = 0. What is the hundreds digit of q(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 5 - 17. Suppose 5*h = 7*n - 10*n + 12452, 4 = -4*n. Suppose 3*x - 740 - h = l*a, 3*x = -4*a + 3203. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 186791 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 26\/3267 and -65\/1089?\nAnswer: 3267","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 497\/45009 or -1?\nAnswer: 497\/45009","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u - 1. Let c(r) = -5*r + 4. Let i(l) = c(l) + 6*k(l). Determine i(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 183 = -76*t + 15*t - 31, 2*t = 3*a + 15 + 19 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 209271, 13 in increasing order.\nAnswer: 5, 13, 209271","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the second derivative of s**3\/3 - 2*s**2 - s. Let g(m) = m**2 - 2*m - 5. Let o be g(3). Let f(u) = -u + 1. What is o*x(h) - 6*f(h)?\nAnswer: 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, 93, 246, 473, 780, 1173, 1658?\nAnswer: 2241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 15 = -2*p, -2*p + 2*h + 3 - 23 = 0. Let y = p - -6. Suppose u + c = 3, 2*u - 3*c + y = u. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 2*l**2 - 571614*l - 571616 = 0.\nAnswer: -1, 285808","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**2 + 30*i - 169. What is q(8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*t - 15*t - 2*t - 3*t.\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 8865\/1182*192\/90\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 3*c = -5*h + 15, -2*c - 4*h + 6 = 0. Sort c, 5, -4 in ascending order.\nAnswer: -4, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -20 and -2.63.\nAnswer: 52.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (-2 + 6 - 13 - -5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/183 (b) -138\/5 (c) -6 (d) -3\/2 (e) 2\/9 (f) 0.03 (g) -1\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/460440 and 109\/1320?\nAnswer: 5064840","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -90*7\/(-35) + 47967?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 668742*p - 30093384. Give u(45).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2006)\/(-18172)*44*21.\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*b - 91*z + 95*z + 88, -5*b = -2*z - 44 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5 - 8\/(-2))\/(1\/(-3)). Suppose 0 = 2*o - 0*o + l*r + 22, o - 15 = 5*r. Put -2, o, 14 in ascending order.\nAnswer: o, -2, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 140 divide 8514?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f**5\/11 - 790*f**4\/11 - 393744*f**3\/11 + 15794848*f**2\/11 + 9477790720*f\/11 = 0.\nAnswer: -212, 0, 160, 659","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.11 - 0.19?\nAnswer: 16.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -77 + 872. Let l = -195 + y. Suppose -4*c - l = -z - 4*z, -z + 4*c + 104 = 0. Calculate the remainder when z is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 2*b**2 + 6*b - 16. Let n be v(2). Suppose n*y + 192 = -3*x, -9*x + 115 = -3*y - 4*x. Let o = y + 57. Solve -4*q + 0*q = -o for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 divided by -2?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -546.4386 rounded to one decimal place?\nAnswer: -546.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 656 and 123.\nAnswer: 1968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1332, -5383, -12098, -21483, -33544?\n\"Answer: -x**3 - 1326*x**2 - 66*x + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-6 - -7) - (-3 - -2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 590.1989221 + -590.2. What is w rounded to 5 dps?\nAnswer: -0.00108","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8229.194 to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 333 - 332.734. Let g = h - 27.576. Let j = g + 27. What is j rounded to 1 decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -4*w**2 - 7. Let u(t) = 8*t**2 + 16. Let f(s) = 7*r(s) + 3*u(s). Let p(a) = -7*a**2 - 1. Determine 5*f(q) - 3*p(q).\nAnswer: q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 9*z - 187. Calculate n(21).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -66513 - 1041?\nAnswer: -100554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 - (-15)\/25) + (-54)\/(-10). Suppose -4*c + a = -3*c. Let l(v) = -v**3 + 5*v**2 + 2*v - 3. Give l(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.454 + 35.146. Let g = v - 35.5. What is the third biggest value in -3, 9\/5, -0.5, g?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 - 6. Let f(q) = 4*q. Suppose 0 = -3*r + 2 + 1. Let z(k) = k. What is a*z(l) + r*f(l)?\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 214782324 to the nearest integer?\nAnswer: 14655","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3*4\/20 + 6336\/15.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -166 = -9*t + 5*t - d, d = -3*t + 124. Solve 17*i + 9 = -t for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1878116 and 1878116.\nAnswer: 1878116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91*j = 5*q - 88*j - 243, -3*q - 5*j + 181 = 0. What is c in -21\/2*c**3 - 108 - 3\/2*c**4 + 33*c**2 + q*c = 0?\nAnswer: -9, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(16) + sqrt(16) + sqrt(16) + sqrt(400))\/sqrt(8))**2 + (-1 + sqrt(12)\/sqrt(6))**2.\nAnswer: -2*sqrt(2) + 131","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1103 - -87. Suppose 19*q - 29*q = -o. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1876878 to the power of 1\/2, to the nearest integer?\nAnswer: 1370","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -5*k**4 - 42350*k**3 - 16034675*k**2 - 78861450*k + 94938480 = 0?\nAnswer: -8073, -392, -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 393043 is divided by 13553?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -49056.51+-0.17\nAnswer: -49056.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 55 - 50. Suppose -2*l + 1 = -5*r - 8, 4*l - 23 = j*r. Calculate the highest common factor of 1 and l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 117 (b) 2 (c) 8.5 (d) -1\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -102 + 102.009. Let l = q - -0.291. Which is the smallest value? (a) -1\/7 (b) l (c) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u - 5. Let f(v) = v + 4. Let i(w) = -3*f(w) - 2*k(w). Let j be i(5). Let m(h) = 5 + 5*h + 19*h - 23*h. Calculate m(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -124 + 49. Let s = -10 + d. Solve j - 5*j + 8*j**3 - 4*j**s + 0*j = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -343 divided by -5.\nAnswer: 343\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*m - 26*m - 17*m - 23 + m**2.\nAnswer: m**2 - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -151*z + 1667. Let m(j) = -45*j + 555. What is 3*c(u) - 10*m(u)?\nAnswer: -3*u - 549","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42658107?\nAnswer: 3, 43, 330683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19 - 19. Suppose z = -f - 0*k + 2*k + 15, -2*f + 20 = -2*k. What is the third derivative of 3*v**5 + 10*v**5 + 24*v**2 + 3*v**f wrt v?\nAnswer: 960*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 24\/(4\/6 - 16\/18). Is -109 at least as big as m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 + 6*l**2 - l - 3. Suppose -9 = 2*v + 3. Give q(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3037499233 and 0.2.\nAnswer: 3037499233.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/17, 136, 0.19?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 h when two letters picked without replacement from llltepepehhllttppep?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5624087?\nAnswer: 7, 803441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 390 by 30.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*j + 48 - 231 = 60 for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1259.18 + -1283. Let x = -31 - v. What is x rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 9*s**2 + 33*s + 4. Let o(z) = z**3 - 13*z**2 - 40*z - 33. Let w be o(-2). Let b(a) = -4*a**2 - 16*a - 2. What is w*b(g) - 6*l(g)?\nAnswer: -2*g**2 + 10*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 357, -21, -5, 1.\nAnswer: -21, -5, -3, 1, 357","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, 2\/13, -691 in increasing order.\nAnswer: -691, -5, 2\/13, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 835 divide 1832861740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 432.0699 - 0.0699. Let s = 431.9999751 - b. What is s rounded to six decimal places?\nAnswer: -0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2\/9 - 195416*i\/9 + 74550950\/9.\nAnswer: 2*(i - 97325)*(i - 383)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 365306 divided by 365306?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (-217002)\/(-12) - (-54)\/(-36)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.194 + 1.254. Let n = -2.8 + 3.1. What is the nearest to x in n, -3\/4, -0.4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - d + 9, -s - 2*d = -d - 7. Suppose l + s*a = 5*l + 56, -3*l + 2*a - 40 = 0. Let v(u) = -2*u - 36. Let t be v(l). Which is smaller: t or -17\/4?\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.30996 - 0.30996. Which is the closest to -2\/69? (a) 1\/6 (b) 0 (c) -1\/2 (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -390862\/7 + 56088. Let d = 250 - j. Let k = 0.02 - -1.98. Which is the second smallest value? (a) -5 (b) k (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 3 + -4 + (3 - 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 352, 348, 342, 334, 324?\nAnswer: 312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from {d: 7, z: 6}.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -1072*p**2 + 9*p - 10. Suppose 3*z + 30 = -5*d, -2*z - 4*d = 31 - 11. Let h be l(z). Round h to the nearest ten thousand.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*m + 2499 - 9379. Let i = m - -486. What is the remainder when 445 is divided by i?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(-195)*102)\/(74\/962)\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + (3 - 8) + 14 + 14 + 17?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -4*t**2. Let h(w) = -5*w**2 - 7. Let n(c) = 2*c**2 + 3. Let r(b) = 3*h(b) + 7*n(b). Suppose -4*v + 18 = -v. Calculate v*r(f) - a(f).\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26936 and 222?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3641 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -29*o**2 + 18. Let a(k) = 5*k**2 - 3. Let f(n) = -34*a(n) - 6*l(n). Let t be f(-7). Suppose -4*r - 42 = -t. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(700)*-4*3.\nAnswer: -120*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express ((1 - 4*p - 1)*(2 + 4 - 5) + 99*p + 195*p - 193*p)*(-17 + 8 + 2 - 15 - 3) in the form l*p + k and give l.\nAnswer: -2425","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -265*k + 56 = -261*k. Let s(z) = -z**2 - 20*z + 13. Let q be s(-9). Calculate the highest common divisor of q and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -335544*w + y = -335549*w - 73, -65 = 5*w + 5*y for w.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9.6 * -0.175789.\nAnswer: -1.6875744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82 + 16*j - 44 - 2*j + 0*j - 4*j - 4*j.\nAnswer: 6*j - 126","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2.1 times 235733\nAnswer: -495039.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 15972561307 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 110201202 (base 3) in base 16?\nAnswer: 2441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -89004100 to the nearest one million.\nAnswer: -89000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 + 3*x**2 - x + 6. Let r be q(-3). Calculate the greatest common factor of r and 81.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10827340.\nAnswer: 2, 5, 19, 28493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1050918784 divided by -209848?\nAnswer: -5008","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12.6 + -7. Let w = 5484214 - 5484208.399951. Let i = h - w. What is i rounded to 5 decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*b + 2*b**3 - 2*b + 2 - 2 - b**3 + (-2*b + 0*b + 4*b)*(-3*b**2 + 5*b**2 - 3*b**2) + 8*b**2 + 8*b**3 - 8*b**2 as s*b + o*b**2 + i*b**3 + h and give i.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*p**2 - 19497 + 78*p**2 + 19497.\nAnswer: 57*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -143772.8 - -143773. Let w(i) = i**3 - 5*i**2 - 5*i - 2. Let v be w(6). Which is the nearest to x? (a) -5 (b) v (c) 5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9775 and 340?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*r - 42*r + 72*r + 73*r - 50*r.\nAnswer: 25*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -4*g - q + 11, 8 = 5*g + 2*q for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/16 and -3 - -3 - (41\/(-12) - 0).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.5 + 0. Let p = -0.94 - -0.14. Let s = 1.2 - p. Sort t, s, -4 in ascending order.\nAnswer: -4, t, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 1 - (-9 + 9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 5*n. Let o be p(1). Suppose 4*f - 45 = -f + o*a, 0 = f + 5*a - 15. Suppose -5*c + 30 = f. Which is smaller: c or 5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 + 17*g - 26. Let s be i(-18). Let h be 46\/(-24) + (-2)\/s. Which is the nearest to h? (a) 5 (b) 0 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 + -320?\nAnswer: -322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - i = 1, 21 = 2758*x - 2753*x - i. Sort x, -4, 0, -20.\nAnswer: -20, -4, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13\/(91\/(-49)) + (-1 + 2)*38129?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 7*v**3 - 29*v**2 - 61*v - 5. Let n(o) = 4*o**3 - 15*o**2 - 31*o - 3. Let b(a) = 5*n(a) - 3*z(a). Factor b(q).\nAnswer: -q*(q - 14)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 3 - 2*n**3 + n**3 + 8*n**2 + n**2. Let h be s(9). Let i(k) = -k**3 + 7*k**2 - 8*k + 9. Let q be i(6). What is the closest to -0.1 in 1, h, q?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes before 7:02 PM?\nAnswer: 1:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -172*r*u**3 - 41*r*u**2 - r*u - 10*r + 16229712*u**3 wrt r.\nAnswer: -172*u**3 - 41*u**2 - u - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -7 + -84 + 90?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 220 - 208 = -6*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, -3, 4 in descending order.\nAnswer: 4, -3, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-63)*(-24)\/(-4).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1339304 to the power of 1\/2, to the nearest integer?\nAnswer: 1157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (5 - 2)\/3*27. Let d = s + -19. Let u(i) = -i**2 + 11*i - 10. What is the lowest common multiple of u(7) and d?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99 = -5*w + 321. Suppose -179 = 6*m - 503. What is the lowest common multiple of w and m?\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k - 4 + 14. Suppose -2*j - 3*l + 1 = 30, 5*j + k*l = -56. Let p = 28 + j. Is p a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -4*p**3 + 17*p**2 - p + 8*p**2 - 25*p**2 - 3. Let v(j) = 3*j**3 - j**2 + 2. Calculate -2*c(n) - 3*v(n).\nAnswer: -n**3 + 3*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 5*z + 1. Let l(k) be the second derivative of -7*k**3\/3 - 3*k**2\/2 + 98*k. Determine -17*j(t) - 6*l(t).\nAnswer: -t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -1730\nAnswer: -3\/1730","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 17 * 153.29.\nAnswer: 2605.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 16, 13, 10, 7, 4?\n\"Answer: -3*u + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as -157188\/43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16 and 7944.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(3 - (0 + 2)). Suppose o = 2*n - 29. Suppose -5*v - n = 0, 5*v = -5*p + 5 + 5. List the prime factors of p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.137*-4.13182\nAnswer: -0.56605934","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4662*x + 4668*x + 4684*x + 4597*x - 18613*x.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 363*n**4 - 39501*n**3 + 146853*n**2 - 138915*n = 0. What is n?\nAnswer: 0, 21\/11, 105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - (-18 - (5 - 6))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 21 = -183. List the prime factors of (28\/(-6) + 4)*h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 - 6*j**2 - 3*j + 7. Let k be (-9)\/3 + 8 - 8 - 0. Let g be i(k). Let v(m) = -2*m - 25. Calculate v(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmzmzmzzzzzmzmzmzzm. What is prob of sequence mmmm?\nAnswer: 42\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = -4*g + g. Let l(d) = 2 + d**2 - 13 + 16*d + 0*d**2. Let k be l(-17). What is the greatest common divisor of g and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + 2. Suppose -3*g = 15, 5*c - 4*c = -g - 30. Let t be f\/c + 14\/(-30). Is -1 < t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 830 divided by 10.\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20 - -15. Sort 10, k, 0.1 in decreasing order.\nAnswer: 10, 0.1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**2. Let s(n) = -4*n**3 + 2*n**2 + 3*n + 2. Let f(b) = q(b) + s(b). Is 8 a factor of f(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwwee. Give prob of sequence ee.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 132 + -188. Let x be n\/6*(-21)\/2. Calculate the greatest common divisor of 14 and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from elqpeepmlp. Give prob of picking 2 p and 1 l.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/18 + (-2)\/6. Suppose t = -2*f - 4, 0 = 3*z - 0*f - 3*f - 12. What is the third derivative of -10*y**z - 4*y**4 - 8*y**2 + 11*y**2 wrt y?\nAnswer: -96*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 301 - 127. Let q = -96 + d. What is the remainder when (q\/(-10))\/(4\/(-20)) is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.081 - 0.481. Let c be (2\/(-17))\/(-2 - -1). What is the closest to 2 in w, 2, c?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 65059601 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*t + t - 75*t**2 - 196*t**2 - 4*t.\nAnswer: -271*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a + 5*a - 6*a)*(2 - 2 + 2*a) + 0*a**2 + 3*a**2 - 2*a**2 + (2*a - a + a)*(-2*a + 0*a + 4*a) - 5*a**2 + 2*a**2 + a**2.\nAnswer: 5*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*i + 8*i + 5*i + (0 + 0 - 2)*(4*i + 0*i - 3*i) - 2*i + 3*i - 2*i - 2*i - 5*i + 4*i in the form h*i + t and give h.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s + 23. What is the tens digit of m(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -272 + 266 = -3*m. Solve 0 = -m*k - 5*r + 18, 3*k = 5*r - 36 + 13 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -9 - 2?\nAnswer: -b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(432) - sqrt(432)*-2) + sqrt(432)) - sqrt(432).\nAnswer: -60*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g + 22. Let b be c(0). Suppose b = -w - w. Let f = w - -20. What is the remainder when f is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*g + 32 = 50 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bqvphehphbqbpq. What is prob of sequence bp?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -2*c**2 - 301610*c + 2714652 = 0.\nAnswer: -150814, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 72 = -2*l, l = 5*l + j - 126. Let o = l - 7. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 - 4*i**2 + 7*i + 28. Let c be y(-7). Let w = c + -120. Suppose -92*p + 95*p = w. Solve 0 = -2*h + 3*n - 9, 13 = -5*h + p*n - 4*n for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 7*u - 1. Let b(y) = -3*y + 1. Let l(w) = -5*b(w) - 2*n(w). Let t be l(5). Suppose 2*q = -f + 91, -f = t*f + 9. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -50*a. Suppose 1 + 1 = u. Let s be x(u). What is s rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - 4\/(-120)*86?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t**2\/6 + 32999*t\/3 + 1088934001\/6 = 0. Calculate t.\nAnswer: -32999","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 316 = 4*u + 3*p, p = -5*u + 399. Suppose 0 = -9*j + 4*j + u. Solve 4*m + 0 - j = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a - a - 3*a + (0*a + a + a)*(4 - 2 - 1) - 2 + a + 2)*(20*a - 2*a - 746 - a**2 + 737).\nAnswer: -2*a**3 + 36*a**2 - 18*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*m**4 - 6*m**3 + 6*m**3)*((-6 + 4 + 0)*(-3 + 6 - 2) - 3 - 1 + 2 - 2 + 2 - 1) to r*m**3 + k*m**2 + z*m**4 + u*m + b and give z.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 6*g**2 + 1875*g - 3760. What is i(2)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -15*d + 19*d. Let j(l) = 2*l**2 - 11*l + 3. Let u(s) = -s**2 + 6*s - 2. Let g be -1 + (0 - 0) - 6. Let f(q) = g*u(q) - 4*j(q). Calculate f(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*j - j**2 - 5*j)*(j**2 - j**2 + j**3) + 0*j**2 + 0*j**2 + 2*j**5 + (2*j**2 - 5*j**2 + 2*j**2)*(-56*j + 2*j**2 + 56*j)*(-5*j - 4*j + j).\nAnswer: 17*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 27*d + 2. Let n(q) = -2*q**2 + 96339*q. Calculate h(n(o)).\nAnswer: -54*o**2 + 2601153*o + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/124227 and -77\/5778.\nAnswer: 248454","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -2*s**3 + 17*s**2 - 11*s + 8. Calculate c(8).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 23 - 22.5. Let v = 0.2 - 0. Let h = -0.2 + v. What is the closest to h in 2, 4\/3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -47*d. What is the remainder when 844 is divided by r(-1)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/5*(-200)\/(-360)*51\/(-6)\nAnswer: -17\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 471 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 11*q**2 + 1. Let f be a(1). Let t = f - 8. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, d: 1, r: 3, e: 5, b: 1, z: 4}. What is prob of picking 1 n, 1 e, and 1 z?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -63*r**3*v + 182*r**3 - 3*r - 136548*v wrt r?\nAnswer: -189*r**2*v + 546*r**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes before 10:45 PM?\nAnswer: 4:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13095 + 262009\/20. Let h = -57\/2 - -41. What is the common denominator of h and v?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -683.052913 to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 12697 to the power of 1\/2, to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**2 - h - 1. Let j(g) = 6*g**2 - 3*g - 3. Determine 2*j(u) - 6*y(u).\nAnswer: 18*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 + 121. Let m = 3314 - 3394. Let q = m + z. List the prime factors of q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.017914745 to three dps.\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -369.89 - 1.11. Let a = r + 370.99999839. Round a to 7 decimal places.\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**2 - 7*p + 6. Suppose 3 = 6*c + 45. Give s(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 201401?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.67908174 to three decimal places.\nAnswer: -1.679","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 12:51 PM?\nAnswer: 1:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 114012, 228011, 342008, 456003?\n\"Answer: -i**2 + 114002*i + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/2 or 61.52?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/31 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-26) + 34 + 24408\/(-468).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 2*h**2 - 19*h - 2. Let p be c(14). Let t = 146 - 124. Suppose t - p = -3*a. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 108 + -104. Suppose -2*w + 4 = -4*v, 4*w = g*v - 7*v + 8. What is the second biggest value in w, 1\/8, -4?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-7)\/35)\/(1*6\/(-5)). Which is the biggest value? (a) n (b) 0.3 (c) 0.2 (d) 9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/6 of a minute?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2122 (base 4) to base 7\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-177789)\/6)\/(0 + 8). Let d = -3707 - t. Calculate the common denominator of d and 69\/2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 176.5 - 177. What is the nearest to 4\/3 in l, 0.1, 1, 0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82*f - 93994 = 80*f - 2*m, 2*m - 140989 = -3*f. Is 195 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-13 - 17 - 30)*(-2*a + 3 - 3 + a - 2 + 2 + (-2*a + 6*a - 2*a)*(0 - 4 + 2) - 2*a + 1 - 1)*(100 + 100 - 213) in the form q*a + d and give q.\nAnswer: -5460","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5919793441 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -205, -205, -191, -151, -73?\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 389 = 3*q - 5*y, -4*y - 413 = -5*q + 231. Let d be (-6)\/15 + q\/20. Solve -w + 1 = -4*s, 3*w + d = -s + 4*s for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -110011111100000 (base 2) to base 8\nAnswer: -63740","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -11566*x**2. Let l(p) = 2*p. Determine l(w(a)).\nAnswer: -23132*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 44 - -221045402?\nAnswer: 221045450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25.2013 + 0.8.\nAnswer: 26.0013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-1\/5))**0)**4 assuming x is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((-2*sqrt(78)*-5 + (2*sqrt(78) - sqrt(78))*3)\/(sqrt(18)\/(5*sqrt(9)\/sqrt(3))))**2*6*5.\nAnswer: 1647753","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5841 is divided by 5793?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 45 + (16 - 12 - 3) + 14?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1494216927?\nAnswer: 3, 7, 101, 33547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 12 = i - 6, 4*g - 2*i - 4 = 0. Sort -2, -22, g.\nAnswer: -22, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -3644*y**3 - 11*y**2. Let d(z) = -3643*z**3 - 14*z**2. Determine -4*d(j) + 5*k(j).\nAnswer: -3648*j**3 + j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (21*(-1)\/9)\/((-80)\/48)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21.6 - -32. Let b = j - 11. Round b to 0 decimal places.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -6*p - 9. Let g(r) = 37*r - 96. Calculate -g(i) - 8*n(i).\nAnswer: 11*i + 168","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -278 in -1\/6, 0.05, 2\/5, -4\/3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/(-4) - 3\/(-2). Suppose 2*k + m - 5 = w, -5*m + 2 - 1 = -2*k. Let z be ((-3)\/(-9))\/1 + 28\/6. Solve 15 - z = -k*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a = -20, -3*y + 4*a - 35 = -4 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 28165.6 micrograms in kilograms?\nAnswer: 0.0000281656","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 AM and 11:54 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 3*q + 5 = 0, -3*v + 4*q = -7*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.154 (b) -3\/14036 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*g - g = 2*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*g + 10*g + 1 - g + 5.\nAnswer: 25*g + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -94*k**2 + 192*k**2 - 103*k**2.\nAnswer: -5*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of -n + 0 - 8*n**2 + 1\/120*n**6 - 13\/96*n**4 + 1\/35*n**7 + 3\/448*n**8 - 11\/120*n**5 - 1\/12*n**3. Suppose u(h) = 0. Calculate h.\nAnswer: -2, -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/10)\/((-2)\/(-20)). What are the prime factors of (8\/r - 2)*-3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*i + 5*x, i = 2*i + 3*x + 9. Solve p**3 - 3*p**i + 2 + 2*p - 2 = 0 for p.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-j - 1 + 0*j - j)*(-1 + 1 + 5) in the form o + g*j and give g.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 5*t + 115, -2*t - 151 = 3*t + 4*w. Let f be (-1950)\/t - (-2)\/(-9). Suppose -8*q + f - 240 = 0. Which is bigger: q or -23?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (21\/35)\/((-2)\/(-330)). Let v be 60\/33 + 18\/q. Suppose -2*g + a = -180, 168 = -0*g + v*g + 5*a. What are the prime factors of g?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 509, 2, 4, -134, 3, -1 in increasing order.\nAnswer: -134, -1, 2, 3, 4, 5, 509","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 634509?\nAnswer: 3, 70501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from brdbobmb. What is prob of sequence bro?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 3*a + 57. Let v be w(-19). Solve -3*j + 5 + 4 = v for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*o - 203 - 580. Let c = o - 60. Let g be ((-6)\/(6 - 0))\/((-1)\/c). Calculate the highest common divisor of g and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3757)\/(-119) - 4\/7. Solve k - 26 = -w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**2*r)**(39\/7)\/(r**(1\/5)*r*r**(1\/4)*r)*r*r**(-6)*(r*r**(-1)*r)\/r*r\/r**(-2\/11)*r*r**(-6) assuming r is positive.\nAnswer: r**(8387\/1540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 10*s + 4. Let c(o) = -o**3 - 5*o**2 + 14*o - 17. Let t be c(-7). Let l = 36 + t. Calculate the remainder when n(5) is divided by l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-4)\/(-18) + 2580\/54 is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 3 + 0 - 4*w**2 - 2 - 2. Determine j(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -165 and -2250 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 + 8*r**2 - 7*r + 2. Let w be a(7). Suppose 3*x - 65 = -w*x. Is 3 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1624\/(-15080)*65)\/(2\/(-30)).\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*v**6 + 1239027*v**4 - 167*v**2 + 1848*v wrt v.\nAnswer: 240*v**3 + 29736648*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00003577527 rounded to 7 dps?\nAnswer: -0.0000358","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -88*n + 2035 - 2035 as w + c*n and give c.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26040 (base 7) to base 9.\nAnswer: 10403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -429955 to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -o - o. Suppose 0 = 10*d - 6*d - o. Suppose 0 = -d*i - 5*m + 587 + 13, 96 = i - 5*m. Does 16 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4730 + 31820?\nAnswer: 280a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*f**3 + f**3 + 0*f**3 + (-6 + 3 + 0)*((-3 + 0 - 2)*(3 + 1 - 5) - 3 - 7 + 4)*((-f + 5*f - f)*(4*f**2 - 5*f**2 + 3*f**2) - 4*f**3 + f**3 + 5*f**3).\nAnswer: 22*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8502 + 1941 + 2743)*(-3*g - 2*g + 3*g).\nAnswer: 7636*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 5*h = 30, -17*m + 3 = -14*m + 4*h for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*j**5 - 4065*j**4 - 702575*j**3 - 29615455*j**2 - 127162350*j + 1028497000 = 0. What is j?\nAnswer: -73, -10, 4, 965","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1467, -2217, -2967?\n\"Answer: -750*b - 717","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1148, -38, -3, -5 in ascending order.\nAnswer: -1148, -38, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*j**4*s + 9*j**4 + 11*j**3 + 9*j**2*s + 57 wrt j.\nAnswer: 72*j*s + 216*j + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 684209623 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2866539 or 2866544?\nAnswer: 2866544","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 + 5*m**2 - 5*m - 3. Is 31 a factor of b(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 3\/5185328?\nAnswer: 3\/5185328","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 594 and 218493.\nAnswer: 1310958","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -56 - -2?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4, -83303 in ascending order.\nAnswer: -83303, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)\/sqrt(2) + sqrt(12))**2*-6.\nAnswer: -288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48106566?\nAnswer: 2, 3, 17, 157211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7423 + 7465. Sort 5, 4, 13, c in decreasing order.\nAnswer: c, 13, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 40.9 - 31.45. Let i = p + -9.31. What is the biggest value in 0.16, -3, 4, i?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 78389744 and 3.\nAnswer: 235169232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4206 = -5*s + 5*c + 9134, 2*s + 4*c - 5324 = 0. Suppose 5*k = s - 81. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3073727 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 32 + -30. Let c(j) be the first derivative of -j + f - 2\/3*j**3 + 0*j**2. What is c(-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 84746355 + 38134\nAnswer: 84784489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**2 + 19*b - 20. Let z be f(18). What are the prime factors of (z + 16\/5)\/((-24)\/(-3660))?\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 39 + -42. Which is smaller: -1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -u + 5*o + 15, -7*u + 2*u = 3*o + 9 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + -3b98?\nAnswer: -3b99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the second derivative of -3*u**5\/4 + 59*u**4\/4 - 112*u**3\/5 + 66*u**2\/5 + 164*u. Suppose n(c) = 0. Calculate c.\nAnswer: 2\/5, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9, 29, 57, 93, 137?\nAnswer: 189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*t = -702 + 132. What are the prime factors of t?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -106 - -248. Suppose -139*s = -h*s. Suppose s = -4*l - 46 + 294. What is the tens digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (51\/(-255))\/(3\/(-255)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(190) - sqrt(190)*6)*6)\/(sqrt(40)*-1)*-6.\nAnswer: 270*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - -0.8. Let x = -178 - -177.9. Sort 7, g, x.\nAnswer: g, x, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s + 90*s**3 + 3*s - 4*s.\nAnswer: 90*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 8, i: 3}. Give prob of sequence uii.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five quarters of a litre in millilitres?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*a + 3*a - 4*a)*(2*a + 134 + 0*a - 160) in the form b*a + n + h*a**2 and give b.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum -903 and 5.3.\nAnswer: -897.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*j + 15*j + 205. Let a = j - -45. Suppose -a*o - 4*v - 76 = -388, 2*v = -6. What is the tens digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -2*sqrt(13) - sqrt(91)\/sqrt(28).\nAnswer: -5*sqrt(13)\/2 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 35\/5 + -1 + -7 - -4\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 52608?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 2*i**2 - 5*i**3 - 1 + 2*i**3 + 2*i**3 + 4*i**2 - 4*i. Let d be p(5). Suppose 0*v = 2*v - 6. Solve -5*z = v*k - 22, -5*k + 26 = d*z - z for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 367319, 1469267, 3305847, 5877059?\n\"Answer: 367316*x**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.076 less than or equal to -8\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kdkdpskqk. What is prob of picking 1 s and 1 p?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the third derivative of -z**6\/96 + 3*z**5\/16 - 5*z**4\/4 + 25*z**3\/6 + 135*z**2. Let v(m) = 0. What is m?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8\/9 - 2\/9*y**2 + 8\/9*y.\nAnswer: -2*(y - 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 21 = 5*c, 4*t + 5 + 0 = c for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -3998*l - 263871. Determine f(-66).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 7:10 AM?\nAnswer: 12:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 6364?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 10*f + 15. Let j(z) = 13*z + 18. Let v(n) = 5*j(n) - 6*s(n). Let w(p) be the first derivative of 17*p**3\/3 + 73. Determine v(w(i)).\nAnswer: 85*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 335\/9 + 9*4\/(-162). What is the highest common factor of z and 296?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -575, 15 in decreasing order.\nAnswer: 15, -6, -575","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -134*a + 131*a = -24. Suppose -86 = -a*d - 78. What is the highest common factor of d and 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c = -0*c - 108. Let f = -16 + c. Solve -f*d = 3*z + 5, -2*d - 4 = 2*z + 2*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 39011256 and 855.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 12952b6 - 5?\nAnswer: 12952b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tkqgitgggqikbqbb. Give prob of sequence gbg.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -353689\/52 + 6801. Find the common denominator of -46\/3 and o.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10568 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 46367, 185456, 417265, 741788, 1159019, 1668952, 2271581, 2966900?\n\"Answer: -i**3 + 46366*i**2 - 2*i + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 19? (a) 5.89 (b) -3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 954 = 169643*s - 169661*s for s.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/32051758 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (174\/(-145))\/((-20)\/50*(-28)\/20)?\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 4 = -2*v. Calculate the remainder when (76\/6)\/((-6)\/(-18)) is divided by (0 + v - 12)\/(-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001398287155 to 7 decimal places.\nAnswer: -0.0013983","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - 2 - -5) + -7?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2. Let v(t) = -484*t**2 - t. Calculate v(h(l)).\nAnswer: -484*l**4 - l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**2 - 15*q - 1. Let j be v(-9). Let u = 29 - j. What is the remainder when (-740)\/u + (-2)\/(-12) is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 2 = -4*w + 22, -16 = -5*w + a for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2055?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -2*t**3 + 22*t**2 - 9*t - 81. Determine n(10).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 380.645627 less than -0.1?\nAnswer: -380.745627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1445 divided by 289\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108 is divided by -5 + -3*(-370)\/30.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 116 and 518486.\nAnswer: 30072188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -1240\/3421 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 + 6*d**2 + d - 1. Suppose -v - 4*r - r + 31 = 0, -2*r - 20 = -5*v. Let t be o(v). Put 1, t, 1\/3 in increasing order.\nAnswer: 1\/3, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-156))\/(-36 + (-6846)\/(-189))*-143?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3360 divided by -5.\nAnswer: -672","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o**3 - 69*o + 69*o.\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4088*f + 4004*f = -2985780. What are the prime factors of f?\nAnswer: 5, 7109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25201229749 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 24967 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 31416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1436?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3029 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 9) to base 2\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13246523 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16264, -32633, -49032, -65461, -81920?\nAnswer: -98409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(2\/90) - (-2784 + 2795)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -639, -1247, -1873, -2523, -3203, -3919, -4677?\nAnswer: -5483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 5 = -2*v, 4*j + 2*v - 7 = -3. Let t(f) be the first derivative of f**4\/4 - 2*f**3\/3 - f**2\/2 + 4*f + 1. Let z be t(j). Solve -z = -k + 6*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2+930655.9\nAnswer: 930656.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-8)\/(-180))\/((-3)\/(-15)). Let f = 4 - 7. Let q = 4 + f. Which is the nearest to q? (a) -2 (b) -2\/7 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, h: 2, u: 1}. Give prob of sequence uh.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -11126859 - 7.857253\nAnswer: -11126866.857253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1038*y + 7076 - 49634 for y.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2. Let c be 2*-6*(-46)\/3. Let x(t) = -1403*t. Let u(z) be the second derivative of -23*z**3\/6 + 60*z. Let h(n) = c*u(n) - 3*x(n). What is h(q(a))?\nAnswer: -23*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 28, 1028, -43 in decreasing order.\nAnswer: 1028, 28, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - -5 - (-10 - 0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - -1c450465?\nAnswer: 1c45046a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 40947?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 - 18*w + 107. Let o be 3\/(4 + (-66)\/18). What is the remainder when 100 is divided by l(o)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 9*w + 153. Calculate r(-17).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the third derivative of -y**6\/30 - y**5\/30 + y**4\/12 + 2*y**2. Let l be z(-2). Suppose 1 + l = 3*a. Is a a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.4650615 to one dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, 2, -39, -8.43?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 80436?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -5, 3, -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ijv when three letters picked without replacement from kixifijxxvijifj.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10 and 155.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, -0.103849, 12?\nAnswer: -0.103849","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 3932481?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.7 in 107\/2, 5, 0.1, 1\/6?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6463 (base 8) to base 2.\nAnswer: 110100110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4*9\/(-2))\/(12\/(-8)). Suppose -t*p - 1421 = -19*p. Let m = 47 + p. What are the prime factors of m?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -5*w - 12. Let k be t(-6). Let p be k - (1 + (-5)\/((-5)\/(-2))). Let v(j) = 42 + 2*j - 18 - p. What is v(-7)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 573 - 445 = 0. Suppose -12 = -w - 5*s, -w = -5*s - 1 - 31. Calculate the least common multiple of u and w.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -510533 divided by -46\nAnswer: 510533\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6556 to the power of 1\/2, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - -277?\nAnswer: 273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 12) + (70 - 62).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -30 + 85. Suppose 4*l - x = 1. Calculate the least common multiple of l and 22.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1407 is divided by 47?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 12*k**3*o*w**2 - 3*k**3*o - k**3*w - k*o**2 - 173*k*w**2 wrt o?\nAnswer: 12*k**3*w**2 - 3*k**3 - 2*k*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6515323 - 72*w**2 - 6515323.\nAnswer: -72*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3200977 to the power of 1\/3, to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 14*h - 7. Calculate the remainder when 143 is divided by a(2).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -2 - 2 + 6 + 30*i - 1. Let c be a(5). Suppose -20*w + 309 = -c. Is 12 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18 + 2 - (-10 + 5 + (6 - 10))) + 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 3*o - u, -o - 2*u - 3 - 2 = 0. Solve -j + 20 = o*y + 4*j, -5*y = 3*j - 12 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = 7*m - 9*m. Let k = 8097\/4 - 2007. Let n = m - k. Which is the second biggest value? (a) 5 (b) n (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7035?\nAnswer: 3, 5, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -166356*g**3 - g**2 + 409041.\nAnswer: -499068*g**2 - 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is cb193 (base 13) in base 12?\nAnswer: 1585b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -115833 (base 9) to base 2.\nAnswer: -10001000100101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 3*r = -54, 2*i + 0*r = -3*r + 63. Let j = i - 28. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15 + -10. Let n(w) be the third derivative of -w**5\/3 - 2*w**2. Let f be (-9 - -27)\/(-2)*14\/(-9). Let v(c) = 7*c**2. Determine d*n(r) + f*v(r).\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-10)\/15)\/((-2)\/(-3)). Is 14 a factor of -2 + 2 - h*38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -725 (base 9) to base 2.\nAnswer: -1001001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*f = -8*f + 40976. Is 9\/((-18)\/f) + 2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 3*z - 150. Let s(i) = -14*i + 14 - 3*i + 23. Let a be s(-4). Calculate the highest common factor of a and z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -4214, -8428, -12644, -16862, -21082?\n\"Answer: -w**2 - 4211*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 + 51*z**2 - 19*z + 1668. What is i(-52)?\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8958 is divided by 37.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 11 = 6*i - 19, -5132*i + 5131*i - 3*r + 22 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jkkakxssakkat. Give prob of picking 1 s, 1 k, and 1 x.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.0810568 and -260?\nAnswer: 259.9189432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + -3. Suppose -4*a - 3*x = 0, -q*x - 7 = -a - x. Let w be (5599 - 3) + (a - -1). Round w to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of -17*r**7\/210 - 23*r**5\/60 - 23*r**2. Find the third derivative of u(c) wrt c.\nAnswer: -408*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 5*q - 29, 0 = q + 1. Suppose -1510 = -d*p - 130. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.4138155 to five decimal places.\nAnswer: 0.41382","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -6*u**5\/7 - 110*u**4\/7 - 694*u**3\/7 - 1794*u**2\/7 - 284*u - 112 = 0.\nAnswer: -7, -2, -4\/3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.743267um in nanometers?\nAnswer: 1743.267","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**3 + 3*t**3 + t**3)*(4*t + 3*t - 2 + 1).\nAnswer: 21*t**4 - 3*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (y**3 - 3*y**3 - y**3)*(-815*y + 50 + 51 - 146 + 41) to z*y**3 + l*y**4 + h*y + j + s*y**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -175 + 300. What are the prime factors of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28453273 - q**2 - 28453273.\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j\/((j\/(j\/(j\/(j\/(j*j\/((j*(j**(-1\/11)\/j)\/j)\/j))))))\/j))\/j**(-2\/5))\/(j**(1\/7)\/j**6))**(-23) assuming j is positive.\nAnswer: j**(-45747\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/1 + (3 - -3). What is the nearest to 1 in 2\/17, j, 4?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*p**3 - p**3 - 17*p - p**3 + (2*p**2 + p**2 - 2*p**2)*((3 - 3 + 2*p)*(4 - 1 + 0) + 3*p + p - p).\nAnswer: 10*p**3 - 17*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 + -8.1. Let v be (2\/(-20))\/((-120)\/(-656)). Let q = v - 3\/25. What is the closest to l in q, 1\/3, 5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w - 2 + 2)*(-11*w**4 + 84*w**3 - 84*w**3 + (4*w**3 - w**3 - w**3)*(0 + 0 + 2*w) + w - w**4 - w).\nAnswer: 8*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 266121800 rounded to the nearest 100000?\nAnswer: 266100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -27 + 53 - 26 + 16*b**2. Let i(k) = k**2. Determine i(s(z)).\nAnswer: 256*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -472, -953, -1434, -1915?\nAnswer: -2396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*s - s + 3*s)*(1 - 2*s - 1) + s**2 - 6*s**2 + 0*s**2 as b + k*s + f*s**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -5*s - 48. Let t(k) = 2*k - 4. What is -3*t(n) - y(n)?\nAnswer: -n + 60","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:16 PM and 9:55 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 4109.569 grams?\nAnswer: 4.109569","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 7*h - 12 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 15021 - -15?\nAnswer: 15040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -350687, -701369, -1052051?\n\"Answer: -350682*m - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 - 7*r**2 - 9*r + 9. Calculate b(8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**3 + 191712*x**2 - 383432*x.\nAnswer: 2*x*(x - 2)*(x + 95858)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 1. Let k(n) = n**2 - 4*n - 12. Let b(v) = k(v) + 6*p(v). Let a(x) = x + 2. Suppose 4*h - 6 = 6. Let g be a(h). Give b(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 36 = -2*h, -5*h + 0*h - 4*f = 57 for h.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-2) - (-70)\/(-62)*38\/76.\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 37 and 9.8.\nAnswer: 362.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 218*m = 212*m + 12 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -2*d**3\/7 - 850*d**2 - 23776*d\/7 - 23768\/7 = 0.\nAnswer: -2971, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 112 - 217 - 7*b + 110.\nAnswer: -7*b + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2424, 4851, 7284, 9723, 12168, 14619?\nAnswer: 17076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -19135 + -419?\nAnswer: -19554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Is 330 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1603, 3217, 4821, 6409, 7975, 9513?\nAnswer: 11017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -5*z**3 + 2*z**2 - 3. Let o = -79 - -78. Let t be l(o). Solve -3*c + 4*c = -t*f + 9, -2*f + 21 = -5*c for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 15*n + 3)*((-1 - 2 + 4)*(-1 - 3 + 2) - 2 - 4 + 5).\nAnswer: -45*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c - 4. Let q(u) = -u + 3. Let p(b) = -4*h(b) - 5*q(b). Let d be p(-2). What is the units digit of d\/((-1)\/7)*1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101101 (base 2) in base 5?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -399, -387, -365, -327, -267?\nAnswer: -179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 1 = 0, 14 = 3*t - 4*k + 1. Suppose u + 6 = 3*s, t*u - u + 10 = 4*s. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-4)*u)\/((u**(1\/2)*u)\/u))**(-4\/19)\/((u\/u**(2\/5))**(-2\/3)*(u*u\/((u\/(u**0\/u))\/u))**(-1\/45)) assuming u is positive.\nAnswer: u**(991\/855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.095476 minus -0.05442022?\nAnswer: 0.14989622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 5*z, -2*z - 9 - 3 = -4*m. What is the third derivative of 3*a**5 - 3*a**6 - a**m - 3*a**5 wrt a?\nAnswer: -360*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k**2\/3 + 52*k - 1014 = 0.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 13020 divided by 2604?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 - j**2 - j + 26. Let p be c(0). Suppose -2*k - 2*m + 30 = -0*m, 0 = -2*k - 3*m + p. Solve 8*b - 3*b - 3*x - 27 = 0, 5*b - x = k for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**7)**(-12))**(-6))**(4\/29) assuming x is positive.\nAnswer: x**(2016\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 + -3 + (-2 + 1)*1. Suppose -c - 3 + 5 = w. Suppose c*b = -3*b + 20. What is the least common multiple of b and 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -9*c - 30. Let z(m) = 1480*m - 3. Is z(c) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13148196*y**4 - 492*y - 15642 wrt y.\nAnswer: -157778352*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j + 7. Let g be k(-7). Suppose 0 = -3*v + 4*t - 2 + 1, g = v - 4*t + 3. Let u be 130 - (v + (1 - 2)). What is the highest common divisor of u and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times 17.5\nAnswer: 8.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 41*r**2. Let c(g) = 5*g**2. Let f be (-16)\/24 - 244\/(-6). Let y = -6 + 1. Let s(k) = f*c(k) + y*q(k). Let t(p) = -p**2. Calculate s(t(u)).\nAnswer: -5*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n**4 + 35*n**3 - 15*n**2 - 95*n + 70 = 0 for n.\nAnswer: -7, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 500*i = 451*i + 1568 for i.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*u - 9*u + u**2 - u.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 17 = 5. Let t be 6\/(-2 + n\/8). Suppose 117 = 3*d - 3*u, -7*d + 2*u = -8*d + 42. What is the highest common divisor of d and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 16422462 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 731\/188 - 5\/376. Is 3 >= z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, 11421, 390.\nAnswer: -5, 2, 390, 11421","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4\/31 - 2\/465. Sort m, 1, -0.01, -1\/11 in decreasing order.\nAnswer: 1, -0.01, -1\/11, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.03 + 6.03. Let u = -2 + l. Let d be 10\/55 + (1\/(-66) - 1). Which is the nearest to 0.1? (a) 0.1 (b) u (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 240 + 3 - (0 + 2) is divided by 82.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(80) + 3.\nAnswer: 7 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of -n**3\/3 - n + 403. Suppose 5*j - s + 5 = 4*s, -j + 23 = 5*s. What is d(j)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1155 + 1?\nAnswer: -1154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 4:45 AM?\nAnswer: 1:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 1658*x + 1819. List the prime factors of a(14).\nAnswer: 25031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1216 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 30867329 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 - 13*i + 31. Let u be n(9). Sort 7, -2, u, 4 in descending order.\nAnswer: 7, 4, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 69\/16 and ((-21)\/72)\/(2\/(-27)).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 938.1899ml to litres.\nAnswer: 0.9381899","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -2*d + 144, -3*d + 184 = b + b. Let f(y) = 2*y**2 - 14*y + 11. What is the remainder when d is divided by f(7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.147613 to 0 dps.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-9) - 46555\/(-9). Suppose -1 = -z, 2*z = t - q - 192. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -150 - -196. Let q = -28 + s. Calculate the lowest common multiple of q and 42.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r = 435 + -428. Which is the second smallest value? (a) -4 (b) 3 (c) r (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -41 - -41. Suppose s = 3*z - 0*z - 6. Suppose -4*u - 2*k = -8, u + z = 2*u + 4*k. Calculate the smallest common multiple of u and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15 + 14. Let l = 1 - y. Suppose 10 = 5*k - 2*a, -3*k + l*a - 2 = -4*k. Solve -5*t = -2*x + 17, t + k + 7 = -x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 31 + -25. Find the common denominator of 4\/l + 125\/33 and -7\/10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 971239509.\nAnswer: 3, 79, 1366019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3989, -31859, -107499, -254795, -497633, -859899, -1365479?\nAnswer: -2038259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((q\/(q*(q**(-1\/4)*q)\/q))\/q)\/(q\/q**(-5)))**39)**11)**25 assuming q is positive.\nAnswer: q**(-289575\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/(-4)*-2*1. Let r be (16\/48)\/(1\/33). Let q = r + g. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1421597 to the power of 1\/3, to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 299?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -8*z - 4. Give f(1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k**2 - 1 + 1 + (0*k - 3*k + 2*k)*(-2*k - 2 + 2) + 1175066*k - 1175066*k - 425*k**2.\nAnswer: -424*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 - -3561.8\nAnswer: 3561.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 7 = -2*c. Suppose t = -2*w + c + 1, t = 2*w - 8. Suppose -n - w*n + 10 = 0. Calculate the remainder when 25 is divided by n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.4, 37, 5\/6, -189329\/4?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5070647831 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -56, -159, -306, -497?\nAnswer: -732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 + -9. Suppose 4*r = b + 9. Solve 4*a + 2 = r*h + 13, 8 = -4*h + 2*a for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 702 - 730. What is the biggest value in 2, o, -0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from nrnrr?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -3*n**5 - 15*n**4 - 6*n**3 + 24*n**2 = 0.\nAnswer: -4, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -2*v + 6. Let f be p(4). Suppose 3*t = -5*x - t, 0 = -t. Is f at least as big as x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*y + 1545280 = 58*y - 24*y. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -2*w - 4, 0 = -2*p - 115 + 123. Solve -3*f = -w*u + 1, u + u - f = -1 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 187, 390, 593?\nAnswer: 796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-489*x - 64*x**3 + 489*x)*(1 + 3 - 3)*(0*x - 3*x + 4*x).\nAnswer: -64*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -4176500 to the nearest ten thousand.\nAnswer: -4180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -265*j**4 - 3434*j**3 - 17232958 wrt j.\nAnswer: -1060*j**3 - 10302*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-40)\/(-150)*10\/2)\/(-2)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 - 9*l**2 - 13*l - 28. Let f be c(-8). Let m(o) = 709*o - 19. Is m(f) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11.4518501 + -16.18451658. Let r = w + 23.73266538. Let y = -19 + r. Round y to 7 decimal places.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 379?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -1) + -9 + 4 + 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-9)*(6 + -9). Let t = 1\/43 + -45\/86. Let n = -1 - -1. What is the smallest value in k, n, t?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24599, 98365, 221303, 393407, 614671?\nAnswer: 885089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15618752129 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*w + 92*w + 34*w)*(-3 - 4 + 6).\nAnswer: -142*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -631 + 616 = 3*w. Let i(q) = -93*q + 320. List the prime factors of i(w).\nAnswer: 5, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 543565 is divided by 1270?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.64142187 to three decimal places.\nAnswer: 6.641","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*a + 7*a - 4*r - 537, 5*a - r - 2799 = 0. Calculate the smallest common multiple of a and 264.\nAnswer: 4488","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert e9 (base 15) to base 16.\nAnswer: db","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + 11 + -7 + -15 + (9 - 72)?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q + 1. Let s(j) = -j**2 - 12*j + 72. Let m be (16 + 8)*10\/(-15). Let i be s(m). Determine d(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 7*g = 5. Let z be g*(-5)\/(25\/(-5)). Does 6 divide 6 + (z - -3) + -4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -460\/27 + 1991\/54. What is the common denominator of o and ((-14)\/(-161))\/((-8)\/(-5))?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 AM and 2:17 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -2 + ((sqrt(700) + sqrt(700) + -1)*-2 - sqrt(700)).\nAnswer: -50*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -201, -825, -1863, -3309, -5157, -7401, -10035?\nAnswer: -13053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 15\/2746409?\nAnswer: 15\/2746409","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 789 = -n + 85, 3*i + 4480 = 5*n. Does 29 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4815 is divided by 219.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7217 and (7\/(315\/144))\/(0 - 8\/(-20)).\nAnswer: 57736","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 158597 (base 11) to base 16.\nAnswer: 3bf6f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 694.89 + -690. Let l = r - -0.11. Let x = 686 - 685.8. Which is bigger: x or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (99\/18)\/((1\/2)\/1). Calculate the highest common divisor of h and 143.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 81 + 51 = -5*q, -b = -2*q + 1 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -22.6 + 2.6. Let b = -82 - k. Let o = b - -61.99973. What is o rounded to 4 decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -60, -14, -3\/74, -0.7, 2 in ascending order.\nAnswer: -60, -14, -0.7, -3\/74, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.03? (a) -2\/9 (b) -4 (c) -3\/2 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 608087755.\nAnswer: 5, 11, 521, 21221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 36 - 24. Let y be 9\/n + 2548\/16. Let b = y + -91. List the prime factors of b.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 AM and 11:39 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -4*m**2 - 111*m - 109. What is t(-27)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14\/5 - 51\/20. Let q = -15 + 14. Let k = 8.6 + -9. Which is the nearest to d? (a) q (b) k (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 48937.4, 1\/5, 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to 0.01842?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rru when three letters picked without replacement from llfufrfflfrfufu.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 209, 849, 1931, 3455, 5421?\n\"Answer: 221*u**2 - 23*u + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-59*v - 340*v - 271*v)*(2 - 3 - 1) + 1 + v - 1.\nAnswer: 1341*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(540))\/((sqrt(180) - (sqrt(180) - -1*sqrt(180))) + sqrt(180) + sqrt(180)) + ((sqrt(75) + sqrt(75)*1)*-1)**2 + -4.\nAnswer: sqrt(3) + 296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to 5484936?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.4, -0.3, -3.6029, -2\/15, -0.2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2*q**2 + 49*q - 18. What is the units digit of i(10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 608072495 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - 2*a + 12. Let w(z) = -a*z**2 - 5 + 5 + 2*z + z**3. Let r(y) = -y**3 + 4*y**2 - 3*y + 1. Let x be r(2). Calculate w(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2 + 7*p + 4. Let b be j(-4). Let i(u) be the third derivative of u**4\/12 + u**3\/6 + 1849*u**2. Determine i(b).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l + 1 - 1 + (3 - 1 + 0)*(-3*l + 4*l + 0*l))*(-l + l - 3*l**2).\nAnswer: 6*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-20)\/15 - 1\/(-3). Which is bigger: 3\/8 or y?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13009.\nAnswer: 13009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.095 * 8.091.\nAnswer: -0.768645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i*i**(8\/7))\/(i\/(i*(i*i*i**(-4\/3))\/i*i)))\/(((i**(1\/6)*i)\/i)\/i*i*i*i**10) assuming i is positive.\nAnswer: i**(-103\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2*-1*(-1 + -2). Let u be (8\/z)\/(3\/9). Find the third derivative of -w**6 - w**6 - u*w**4 - 3*w**2 + 4*w**4 wrt w.\nAnswer: -240*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + 5. Let j = 0.7 - 0.2. Let w = j - k. What is the second biggest value in -3, 2\/3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 6*u**3 - 5*u**2 - u + 1. Let s = 1 - 0. Calculate the remainder when i(1) is divided by s.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 154618.73 to the nearest 10000.\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of x**4\/12 - 5*x**3\/6 - 5*x. Determine z(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6484425?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22, 19, 16, 13, 10, 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-5)*10\/2. Suppose 5*q + 12*d = 10*d + 1307539, 0 = 5*d + 15. Suppose -r*m - q = 458491. What is m rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -214*j*p**4 + j - 96 wrt p?\nAnswer: -856*j*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 153 divide 865718406?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.36 + 0.26. Let f = y - -9.1. Let a = 16 - f. Is -0.1 <= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18295252 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/4 - (-25)\/10. Suppose -5*a = -h*a. Suppose a*l + 112 = 2*l. What is the highest common divisor of 8 and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(76) - ((sqrt(76)*-2)**2 + sqrt(76))) + 0 + 1 + 1 + sqrt(76))*5.\nAnswer: -6040 + 40*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00006795977 rounded to 5 decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 6 - 6 - (3 - 0).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23340 to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 410, 557, 704?\nAnswer: 851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -130*r**2 + 341*r**2 + 23 - 19 + (-3 + 3*r + 3)*(-r + 0*r - r) - 45 + 45 - 2*r**2 to the form t*r + s + d*r**2 and give d.\nAnswer: 203","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a - 3. Let d be w(-5). Suppose 3*o + 5*v = 85, d*o - 4*o = 3*v - 55. Calculate the lowest common multiple of o and 22.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a + 5*k - 61, -a - 3*k + 30 = -3. Suppose 2 = 5*z - a. Solve 3*p = z*d - 13, 5*p - 4*d - 1 + 20 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 508*r + 3164 + 467*r - 3164 - 978*r.\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -403327\/3 - -133302. Let l = n - -1152. Let h = -350 - -998\/3. Find the common denominator of l and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (28\/2)\/((-2)\/1). What is the tens digit of 1 - s\/(21\/27)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 29, -0.1, -1.3, 5, 2?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 600 = 5*n, -2*u - n - 122 = -3*u. Calculate the highest common factor of u and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (5 - (-2 - -9))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**2 + 76305*c - 6600690.\nAnswer: -5*(c - 15174)*(c - 87)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 185 + -1463\/8. Find the common denominator of -64\/65 and u.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sm when two letters picked without replacement from {s: 1, f: 2, m: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**2 - 11*k - 9. Let r be c(12). Let a(b) be the first derivative of -b**2 + 1\/3*b**3 + 35 - 2*b. Let q(z) = -z - 1. Give r*a(u) - 6*q(u).\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/461, -14, -3\/95 in descending order.\nAnswer: 2\/461, -3\/95, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 14*c - 192. Let f be -4 + 13 + (-1)\/((-2)\/10). Let t be l(f). Solve t = -r + 5 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) -2 (c) 0 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 4683.522 nanograms?\nAnswer: 0.004683522","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, 11, 16, 23, 32, 43?\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4644 - -41728\/9. Let g be (-37720)\/(-24) + 4\/18. Let l = g - 1576. Find the common denominator of n and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 3*b - 258 = -0*u, u + b - 270 = 0. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 - 18. Let q = o + 4.9999999. What is q rounded to six dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**2 - 7*a + 35. Let p be g(-10). Let y = 0.3 - -2.6. Let t = y + -3. Are t and p unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (72 - (3 - -5 - 4)) + 3 is divided by 29.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156) - (sqrt(156) - (2*sqrt(156) + sqrt(156) + sqrt(156)) - sqrt(156)))*5)\/(sqrt(192)*-2).\nAnswer: -25*sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 155 + -13. Suppose 0*r + 3*y = -2*r + v, 174 = 2*r - 5*y. Let c = 691\/9 - r. Is c >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1334989427 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 15) in base 9?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.377 - 1.117. Let s = -0.59 - 0.25. Let q = s - x. What is the third biggest value in q, -4\/9, 0.3?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/6 + -1)*30\/25?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x**3\/7 + 54*x**2\/7 - 240*x\/7 + 248\/7 = 0 for x.\nAnswer: -31, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -3351298 + 0.4?\nAnswer: -3351297.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 88568 - 176058. What is x rounded to the nearest 1000?\nAnswer: -87000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*(-6)\/(-60)*(-12)\/10?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 285*j - 1430. Give n(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15\/4 or 179?\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/30 and 845\/(-26)*(-2)\/24*2.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -3*n. Let q(z) = 8*z**2 + 7*z**2 - 57 - 16*z**2 + 4*z**2. Determine j(q(x)).\nAnswer: -9*x**2 + 171","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1546 is divided by 489.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 257642, 515304, 772966, 1030628, 1288290?\nAnswer: 1545952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 134583 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1907 divided by 31512?\nAnswer: -1907\/31512","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11137203?\nAnswer: 3, 7, 11, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -40 - -52. Suppose j*t = 9*t + 465. What are the prime factors of t?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 40680584 to the nearest integer?\nAnswer: 344","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 65*g = 69*g - 18136, -3631 = -j + 3*g. List the prime factors of j.\nAnswer: 2, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 197 = -169 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1614 - -1?\nAnswer: 1615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**2 - 19133031*x - 19133034.\nAnswer: 3*(x - 6377678)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the first derivative of a**4\/2 - a**3\/3 + a + 4. Does 2 divide b(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32265971*h**2 + 20*h - 15*h - 32265986*h**2.\nAnswer: -15*h**2 + 5*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 121 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15 + 12. Let v be (-143)\/(-33) + 1\/b. Solve c + s = -v*c, -5*s = -c - 26 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccfc when four letters picked without replacement from tcccfctcsfctcscc?\nAnswer: 3\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/378 and 68\/189.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - 2. Let h = -3.1 - -0.1. Let x = p - h. Is -1 at least as big as x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 125, 123, 121, 119?\n\"Answer: -2*r + 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2\/5 + 32*j - 3168\/5.\nAnswer: -2*(j - 44)*(j - 36)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 179 - -2491. Let o(a) = -5*a - d + 2672 + 5*a - a. Let x(t) = -6*t + 15. Give 30*o(b) - 4*x(b).\nAnswer: -6*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*a**2 + a**2 + 0*a**2)*(-15443 + 15443 + 259*a**2) to the form g*a + w*a**2 + m + n*a**3 + q*a**4 and give q.\nAnswer: -518","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/1 - 17\/((-204)\/456). Suppose -f = -3*t - 21, -t + 84 = 4*f + 3*t. Suppose f = -5*n + a. Solve n*k = -6, q + 5*k + 4 + 7 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l**3\/9 - 2518*l**2 + 6944190*l + 1075913286 = 0. Calculate l.\nAnswer: -147, 5739","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -143*g = -146*g + 27. Let l(k) = -9 + g + 6*k**2 - 3*k**2. Let z(b) = -7*b**2. Give l(z(a)).\nAnswer: 147*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 75517131 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3498480 and 11300.\nAnswer: 17492400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**2 - 16*c - 16. Suppose -3*r - 2*x = 1 + 1, 0 = 2*r + x. Let q(d) = 1 + 5*d - r*d - 4 + 6. Give 2*k(f) + 11*q(f).\nAnswer: -2*f**2 + f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the third derivative of 0 + 0*a + 0*a**5 + 23\/3*a**3 - 1\/24*a**4 + a**2 - 1\/120*a**6. Is z(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*x - 2*x**2 + 0*x + (-2 + 2 + 2*x)*(2*x + x - x) + 2*x**2 - 2*x**2 + 5*x**2 + (3*x - x - x)*(-x + 6*x - 3*x) to the form r*x + p*x**2 + h and give p.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -24, -1160, 0.35, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (31 + 76 - 7)*(-f - 3*f + 2*f).\nAnswer: -200*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -76 (base 8) to base 11.\nAnswer: -57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + 3. Differentiate 51 + 4*u**g - 54 - 3*u**3 with respect to u.\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 142993648?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*w - 24*w - 5 = -37*w. Let o = 5 - 7. Which is the second smallest value? (a) w (b) 5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8103 + 214*u**3 - 4390 - 3713 - 220*u**3.\nAnswer: -6*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -9, 0, 44.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 - (-1 + 2)*-2. What is the units digit of 4 - ((-10)\/h + -45)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-51 - -18) + -28 + 118.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 132 = 5*m - 208, 4*h = -3*m + 187. What is the second derivative of -414*c**5 - m*c + 351*c**5 - 2*c**4 - 2 + 2*c**4 wrt c?\nAnswer: -1260*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -112e9f + 3?\nAnswer: -112e9c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add -41 and 0.08.\nAnswer: -40.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13\/(7514\/(-544)))\/(-2)*(-6)\/8.\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 112 + 220 = 0. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 25 + -27.4. Let q = -2 - x. What is the closest to 1\/3 in q, 0.5, -3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -31 + 32. Put -0.4, 4, -5, w in decreasing order.\nAnswer: 4, w, -0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-35))\/(69\/(-161)).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -70*g**4 + 2030*g**3 + 4215*g**2 + 2115*g - 165. Let k(s) = 5*s**4 - 145*s**3 - 301*s**2 - 151*s + 12. Let o(y) = 4*h(y) + 55*k(y). Factor o(m).\nAnswer: -5*m*(m - 31)*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.35 - -0.05. Let p = 0.08 - 4.08. Sort u, -5, p in decreasing order.\nAnswer: u, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1408622100 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 80.17 to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -97*v + 166. Determine p(2).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.12, -1566995, 2?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 4705, 0?\nAnswer: 4705","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(125) - (sqrt(125) + 1)**2)*6 + 1*sqrt(720)*2.\nAnswer: -756 - 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 2*g - j = -204, -112 = -3*g + 2*j. Calculate the greatest common divisor of 20 and g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence auza when four letters picked without replacement from ugauuguacuuuzauga.\nAnswer: 1\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-1 + ((1 + sqrt(275))*-4)**2 - (1 + 2*sqrt(275))*-2)*2.\nAnswer: 2160*sqrt(11) + 53004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*z = -o + 43, 49*o + 65 = -17*z + 52*o for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = 25*i - 22*i - 11, -2*i + 12 = -4*v for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 201861 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the third derivative of 7*a**2 + 0 + 1\/6*a**3 + 0*a. Let b(j) = 14*j - 2. Let l(i) = -b(i) - 8*d(i). What is the first derivative of l(t) wrt t?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -201005 divided by 40201\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 56632 and 256?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0*(18\/(-4))\/9. Suppose r = d + 3*d - 4. Do 3 and d have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**3)\/h)**(-24) assuming h is positive.\nAnswer: h**(-72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 36*j**2 + 21*j - 59. What is the thousands digit of f(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the third derivative of 10*c**3 + 7\/3*c**4 + 0*c + 133*c**2 + 0 - 1\/15*c**5. Find v, given that l(v) = 0.\nAnswer: -1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*d - 7180 = 688*d for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 PM and 5:23 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38409 is divided by 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 66 = 5*s - 145, 129 = 3*s - 3*z. Let w be ((-27)\/2)\/((-2)\/20). Let v = w - 30. What is the highest common factor of s and v?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4826356?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 34 = 14 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*z + 3*y, 7*z + 23 = 2*z + y. Let r = 0 + z. Let n(s) = -3 + s**2 + 3 + 2*s - 3. Determine n(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the third derivative of 0*a + 3 + 1\/105*a**7 + 23\/2*a**3 - 2\/3*a**6 + 0*a**5 - 2*a**2 + 0*a**4. What is the first derivative of m(p) wrt p?\nAnswer: 8*p**3 - 240*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7484 is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:29 PM and 3:14 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 98205, 98201, 98197, 98193, 98189, 98185?\nAnswer: 98181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) 2 (c) 2\/9 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 1:58 PM?\nAnswer: 9:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3.7254 and -95.6?\nAnswer: 356.14824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (35\/(-20))\/(4\/16). Let n(r) = -r**2 - 6*r + 1. Give n(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69218?\nAnswer: 2, 53, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + (-43 - (32 - 77)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 72 and 7824?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3546771 by 11553.\nAnswer: -307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-29))\/((-718)\/(-176987))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-558)\/93*5*8\/(-20)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 268*y - 683*y + 13280 = 0 for y.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 79 = 47. Calculate the highest common factor of k and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the first derivative of y**6\/3 + 5*y**2\/2 + 1. What is the second derivative of j(v) wrt v?\nAnswer: 40*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = 2*f - 18, -5*f + 4223*z - 1 = 4218*z - 6 + 10 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (264\/20 + -13)\/((-2)\/30)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -15453 or -15527?\nAnswer: -15453","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qjhbjh. What is prob of sequence hb?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34678*q + 3*b + 72 = 34681*q, -4*q + 0*q + 104 = -2*b for q.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2 + 0*j**4 + 0*j + 1\/6*j**5 - 7\/6*j**3 + 0.\nAnswer: j**2*(j - 2)*(j - 1)*(j + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -136\/43 - -103855\/30702. Find the common denominator of 121\/24 and t.\nAnswer: 2856","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 + 6*n**2 + 8*n - 5. Let f = 12 - 5. Let b be j(f). Let u = -2 + 1.6. What is the closest to 2 in 1, b, u?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(2695))\/(-3*sqrt(125)) + -6*((sqrt(66) + 2*(sqrt(66)*2 + sqrt(66)))\/sqrt(6))**2*-2.\nAnswer: 7*sqrt(11)\/5 + 6468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 738203 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(17) + 0 - (-4 + sqrt(17)*3))**2 - (-5*(sqrt(119) - (sqrt(119) + 2*sqrt(119))))\/(1*(sqrt(35)\/sqrt(5) + sqrt(7))).\nAnswer: -9*sqrt(17) + 69","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 3*p + 3 + ((1 + 3 - 3)*(0 - 9 + 0) + 0 + 3 - 5)*(2 - 1 + 1)*(-1 + 0 + 0)*(-24*p - 13*p + 7*p) to z*p + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*488\/(-40)*(-55)\/22?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*(2 + -2 + 2). Let f = 39\/5 - 41\/5. Put p, f, -0.2 in decreasing order.\nAnswer: p, -0.2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2404 is divided by 171.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z = 3*m - 15*m - 63, 647*z - 3*m = 651*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 1298*u. Let d(m) = -11*m. Give b(d(k)).\nAnswer: -14278*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - 0. Let f be 6\/(-20)*8\/(-18). What is the smallest value in f, 4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 1394?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 + 13*q**2 + 12. Let g be m(-13). Suppose 2*c - 2*z = g, 3*c - 5 = -2*z - 2. Put 2, 9, 5, c in increasing order.\nAnswer: 2, c, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 7*d - 26 = 0, 36 - 38 = -n - 2*d for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 4 = -1. Let j be (-1)\/((-8)\/6 + w). Let g(t) = 2*t**2 - 4*t + 4. What are the prime factors of g(j)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of k**6\/360 + 7*k**5\/120 - 7*k**4\/24 - 5*k**3\/6 + 16*k. Let u(r) be the second derivative of l(r). Give u(-7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -974608.63149719 plus -3?\nAnswer: -974611.63149719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -48, -3, -7, 8, 15, -4, 1 in descending order.\nAnswer: 15, 8, 1, -3, -4, -7, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.542 and 850.\nAnswer: -2160.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15473?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 55 - 54.96. Which is smaller: f or 1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(1\/2))**(14\/9))**(-44)\/((c**(-1\/4)*c*c*c*c**(-4\/9))\/((c\/(c*c**(2\/7)*c*c)*c)\/c)**29) assuming c is positive.\nAnswer: c**(-25909\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 172 (base 9) to base 14.\nAnswer: a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 33332 (base 6) to base 2\nAnswer: 1001000111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2566*n - p = 2564*n - 8, p = 113*n - 214 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/5 - (-28)\/(-10). Sort -1, u, -5, 4 in descending order.\nAnswer: 4, -1, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 612 + -609. Let a be -5 + -7 + (f - -17). Solve 0 = 4*b - 12*b + a for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -388 + 397 + (-9 - (0 - 0)) + -2 + -5?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13557?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1765 = 6*g - 569. What is the first derivative of -433 - g*v**3 + 634 + 116*v**3 wrt v?\nAnswer: -819*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1693 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 106, 151, 224, 325, 454, 611?\nAnswer: 796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 8, b: 1, p: 2, f: 2, t: 4, o: 2}. What is prob of picking 1 p and 1 f?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 12:11 AM?\nAnswer: 2:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50 is divided by 22.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 777 divided by -111\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 + (11592\/44 - -3) + 2. Let c = 272 - m. Find s, given that -c*s - 2\/11*s**3 + 2\/11 + 6\/11*s**2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(5082)*2 - sqrt(5082) - sqrt(5082))*5)\/(sqrt(6)*-2*-3*-5))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.91 - 0.09. Put -3, 0.1, q in increasing order.\nAnswer: q, -3, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 - -4. Calculate the remainder when (-17)\/3*(3 - 6) is divided by (-44)\/(-8) + (-2)\/v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -58 + 64. Let i(p) = -y + 2 - p**2 + 4. Let l(a) = -2*a - 23. Give l(i(m)).\nAnswer: 2*m**2 - 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than -5824\/4423?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18 - -8. Is 13 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 - 31*l**2 + 40*l + 84. What is o(-32)?\nAnswer: -172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33 + (99 - 91) + 13 + 2.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15118473193 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, b: 1, n: 2, x: 2, i: 1}. What is prob of picking 1 i, 1 n, and 1 b?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -21\/5*o + 3\/5*o**3 - 18\/5*o**2 + 0.\nAnswer: 3*o*(o - 7)*(o + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 0 = -5*j. Let v be (5\/(-15))\/(j\/3). Let d be (-4)\/16 - (1 - v). Which is smaller: d or 1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17, -98, -241, -446, -713?\nAnswer: -1042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*p**4 + 4*p**3 - 12*p + 2*p**2 - 5*p**3 - 10*p + 8 + 26*p - 6*p as w + g*p**2 + u*p**4 + i*p**3 + h*p and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11178, -22391, -33626, -44895, -56210, -67583, -79026, -90551?\nAnswer: -102170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*r + 222*b = -8*r + 226*b - 100, 5*b - 98 - 34 = 3*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5110047 and 72?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/36 and 41\/9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -21641 (base 13) in base 16?\nAnswer: -ebe2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 58 - 65. Does 15 divide 758\/(7 - x\/((-42)\/30))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - 1. Let j = -0.9 - g. Let f = -4550 - -4559. Which is the second biggest value? (a) f (b) 0 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 353511032 to the power of 1\/3, to the nearest integer?\nAnswer: 707","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -2\/5, 0.05, 2\/13?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2281243857.\nAnswer: 3, 760414619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-182)\/(-39))\/14*6\/(-268). Does 1 = d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 13*q**2 - 16*q - 5. Calculate c(4).\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 189808194?\nAnswer: 2, 3, 103, 281, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2\/7 - 1488*c\/7 - 2592.\nAnswer: 2*(c - 756)*(c + 12)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2505*s + 341*s - 55760 - 39456 for s.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(360)*-1 - sqrt(360))\/(2*sqrt(972)))\/(sqrt(36)\/(sqrt(6)*-1)*-4*5).\nAnswer: -sqrt(5)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**2 + 45*b - 89. Give n(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -d**5 + d**4 + d**3 - d**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - 3. Let f be 2\/5 + 24\/15 + 1. Let l = w + f. Which is smaller: l or -4\/15?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 71*s + 17. Let h(d) = 71*d + 19. Let k(y) = -5*h(y) + 6*n(y). Let i be k(2). Round i to the nearest 10.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94316 is divided by 6948.\nAnswer: 3992","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 2*j = 7 - 3, 3*m - 3*j - 24 = 0. Suppose 32 - 8 = m*b. Let u = b + -1. Solve 0 = 4*a + u*v + 21 - 3, 0 = -2*v - 4 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1875 and -2786 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add 5164 and 0.8290791.\nAnswer: 5164.8290791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*p + 22 = 4*f - 5*p, -p - 17 = -5*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(2\/11)\/(n*n*n**(-2\/5)\/n*n))\/(n*n**3*n**(-7)))\/((n**2\/n)\/(n**(-5)*n))**(10\/9) assuming n is positive.\nAnswer: n**(-1967\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-6 - (-1 + 28\/(-4)))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x + 2*x - x)*(-4 + 2 + 4)*(-x - 46*x - 26*x)*(-4*x - 4 + 5*x - 4*x).\nAnswer: 438*x**3 + 584*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84)\/((sqrt(112) + sqrt(7))*-3 - sqrt(7)))\/(3*(-1*sqrt(484) - sqrt(484))))**2.\nAnswer: 1\/371712","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (28\/(-10))\/(132\/330)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25589 = -166*t - 19779 for t.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p + 2. Let o(l) be the first derivative of -3*l**2\/2 - 7*l + 1. Let g(k) = 48*k + 2308. Let f be g(-48). Calculate f*o(z) + 11*q(z).\nAnswer: -z - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 + -6)*(-10)\/35. Calculate the greatest common divisor of 4 and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*r = -3*w + 1979, -3*w - 5261*r = -5264*r - 315 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(931) + 1 + 2 - sqrt(931)) + 0 + sqrt(931) + 0 + sqrt(931) + 0 - (-5 + -2*sqrt(931)*-4 + (sqrt(931) - sqrt(931)*-2*-5)**2 + sqrt(931)).\nAnswer: -75403 - 49*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 1 = 16. Let g = u - -9. Let q = g - -21. List the prime factors of q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 147 + -395. What is the tens digit of u\/6*(-30)\/20?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 9142?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/25))**(-38) assuming v is positive.\nAnswer: v**(76\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-6)*i\/(i\/i**6)*i*i**(-1)*i\/((i*i\/(i\/(i\/(i\/i**(-2\/17)))))\/i)*i*i)\/(((i*i\/i**(-2))\/i)**45)**17 assuming i is positive.\nAnswer: i**(-38945\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64 is divided by 52\/(-4) - -15 - -14.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: -235ca (base 13) to base 11\nAnswer: -446a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 825*j**6 - 35*j**2 - j wrt j?\nAnswer: 99000*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zjizbidzibo. Give prob of picking 1 z and 3 i.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9446 by -39313.\nAnswer: 9446\/39313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 119*(-8)\/(-28) - 4. Let w be (-20 + 1)\/(6\/(-60)). Suppose 35 = m + 2*y, -m + 2*y + w = 3*m. What is the highest common factor of m and b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -3*r**2 + 2*r + 1054. Let u(f) = -167*f. Determine u(n(a)).\nAnswer: 501*a**2 - 334*a - 176018","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*q - 163*q + 20*q**3 + q**3 - 149 + 60*q**2 - 24*q**3 - 55 = 0.\nAnswer: -1, 4, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, 4, -1, -4 in ascending order.\nAnswer: -5, -4, -1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15820220, -31640440, -47460660, -63280880, -79101100, -94921320?\nAnswer: -110741540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -128135*n**2. Let o(u) = -2*u**2. Give c(o(y)).\nAnswer: -512540*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6645967 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, 5, 1653170, -5 in descending order.\nAnswer: 1653170, 5, 4, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 444 is divided by 31.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13442627 to the nearest integer?\nAnswer: 3666","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 362 = -2*f, -g + 5*f + 289 = 203. What is the remainder when 92 is divided by g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 542 from -1491.7303.\nAnswer: -2033.7303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13170 - 13196 - (-2 - 3335\/139)?\nAnswer: -1\/139","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 304750 and 10373.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 138, 545, 1218, 2151, 3338, 4773, 6450?\nAnswer: 8363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 1641*y**2 + 222*y - 1118. What is the tens digit of o(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.96+-10690464\nAnswer: -10690463.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5760 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: Let x be 700\/(-1) - -3*(-5)\/15. Is 20\/190 - x\/19 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8*2\/(-12))\/(4\/18)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -3*w - 9. Let b be l(-4). Is 4 at most as big as b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -603 + 603.5. Let o be 26\/(-6) + 2\/6. What is the third biggest value in 1\/3, o, s?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 4*(-3 + sqrt(117)*1 - sqrt(117)))**2.\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(832)*-3 - (sqrt(832) + -2 + (sqrt(832) - (sqrt(832) + 3)) - sqrt(832))) + ((2*(3 + sqrt(832)) - sqrt(832) - sqrt(832))**2 + 4)*-4.\nAnswer: -48*sqrt(13) - 155","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 55\/(-10)*2 + 435 + -443.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (-4 + (2 - 9))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 8:30 AM?\nAnswer: 6:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 14*r**2 - 3*r - 4. Suppose 0 = 10*c - 8*c. Suppose 4*k + w + 15 = c, 3*k + 2*w + 18 = -w. Let s be m(k). What is s rounded to the nearest 10?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -175098 divided by 379?\nAnswer: -462","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 2*y + 5*d, -5*d - 8 - 14 = -4*y. Is y > 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**2 + 9*g - 5. Let j be m(8). Solve 0 = -j*u - 7 - 5 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -46\/26943525 and 43\/45.\nAnswer: 26943525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 109322\/90 - (-76)\/380. Suppose -6079 = -5*d - 2*o + 4*o, 2*d = o + 2431. Let i = d - m. What is the common denominator of 85\/21 and i?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.4 - -0.2. Let q = -0.3 - o. Suppose 973*d - 952 = -455 + 1449. What is the second biggest value in q, d, -2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1300)*-2 + sqrt(1300) - (sqrt(104) + 2*(sqrt(104) - 2*sqrt(104)))\/sqrt(8))**2.\nAnswer: 10933","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 3 - (7 + -2 + -26 + (-60 - -80)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/3 - 20\/15. Let c be (0 - m)*(-90)\/(-5). Let b be 4\/(-10) - c\/(-15). Solve b = -2*u - 2 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1913, -2, 11, 5, -11 in descending order.\nAnswer: 11, 5, -2, -11, -1913","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (1\/((-30)\/25))\/(80\/8)\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 130 + -907\/7. Let w = 3 + -3. What is the closest to -1\/6 in -3, r, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j = -3*c + 28, 383*c - 386*c - 52 = -5*j for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 + 13*i**2 - 3*i + 24. Let m be c(12). Let s = m - 106. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -58497 and -3.\nAnswer: -58500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/6 - (-28)\/21.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 - 11. Let s = 6 + m. Let q = s - -9.8. Is q less than or equal to 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {a: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*v = -5*i + 136, -72 + 94 = 4*i - 5*i - 4*v for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7481.7457 and -0.4.\nAnswer: 2992.69828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5096729 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3*v + 0*v**2 + 0 + 2\/3*v**3.\nAnswer: 2*v*(v - 1)*(v + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by -1774652\nAnswer: -3\/887326","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1120 + 1119. Is -48\/97 less than or equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 772273275 by 5.\nAnswer: 154454655","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/4225392 and -109\/1056348.\nAnswer: 4225392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 + 6*x**2 + 3. Let b be c(6). Solve -r + 1 = -2*j, b*j - 2*j + 14 = -4*r for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 PM and 11:48 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 0 - -3 - (-267)\/(-39)) + 23488\/(-6656)\nAnswer: -27\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 404*c**5*m - 226849*c**3*m**2 + 1286*c*m**2 - 128374*c wrt c?\nAnswer: 8080*c**3*m - 1361094*c*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a centimeter in millimeters?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 148 and 212756179.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the third derivative of 43*k**4\/24 - 301*k**3\/6 + 2548*k**2. Give z(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3071935 to the power of 1\/2, to the nearest integer?\nAnswer: 1753","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/((x*x\/(x*x\/x**(1\/14)))\/x))\/x**(-29))\/(x**28*x**(-9)) assuming x is positive.\nAnswer: x**(167\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 65580476 - -3?\nAnswer: 65580480","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 113468 divided by 2\nAnswer: 56734","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 PM and 5:01 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 110217, 110228, 110259, 110322, 110429, 110592, 110823, 111134?\nAnswer: 111537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -68 and 7.1?\nAnswer: -482.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1283 + 1824. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -23810, -22647, -21484?\n\"Answer: 1163*h - 24973","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 442674 minus 0.9682?\nAnswer: 442673.0318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 7331 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -75*(-4)\/(-24)*-9*2\/9?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(125) + (1*sqrt(125)*-2)**2 + sqrt(125).\nAnswer: 10*sqrt(5) + 500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -104 - -104. Suppose 2*t + 55 = 2*j - 63, p = -3*j + 5*t + 187. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*j + 34*j**2 + 8*j**3 - 12*j + 6*j - 6*j**3 as h*j**2 + t*j**3 + d*j + y and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6044847 or -6044841?\nAnswer: -6044841","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3354433822 to the power of 1\/2, to the nearest integer?\nAnswer: 57917","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 g when two letters picked without replacement from ggygruu?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-9)\/(-15) + 88\/20. Let b(a) = 2*a**2 - 8*a - 4. Let l be b(i). Let f(o) = o**2 - 6*o + 6. Does 4 divide f(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(7 - 10) + -5524. List the prime factors of (-11 + 210\/18)\/((-2)\/s).\nAnswer: 7, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 1 + (-2 - 1) - 4\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -88\/117 + 1\/468. What is the smallest value in 0.5, 2, 1.2, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6277*-0.4.\nAnswer: 2510.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 110111 (base 2) to base 4\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/3 (b) 123191 (c) 1\/4 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 380265595?\nAnswer: 5, 6047, 12577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((0 - -8)\/(-8))\/((25\/(-5))\/(-55))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -20 + 5*l - 170*l**2 - 6*l + 173*l**2. Let j be i(-5). Is j at least 61?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2586430 a multiple of 180?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3c0 - b?\nAnswer: -3cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -12330, -24655, -36972, -49281, -61582?\n\"Answer: 4*u**2 - 12337*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 708 a factor of 310999746?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -29*z**2 + 2*z + 1. Let i be u(-1). What is the units digit of (i\/(2 - 3))\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*((-42)\/10 - -4).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4835096 (base 11) to base 3.\nAnswer: -120212001101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 10 = -4*u + 14, -10 = 2*u. Let l = m + 14. Let n(v) = -v + 7. Let d be n(l). Which is the third biggest value? (a) -2 (b) -4 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the second derivative of q**4\/54 + 2924*q**3\/27 + 2137444*q**2\/9 + 2*q - 2131. Determine l, given that j(l) = 0.\nAnswer: -1462","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 5 (b) -0.023 (c) 1\/2 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 64169 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((-14)\/16)*(-4480)\/320?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0*z + 1 + 7*z)*((5 - 3 + 2)*(27 + 21 - 12) + 3 - 4 + 2).\nAnswer: 1015*z + 145","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a + 1. Let q(f) = -7*f + 12. Let p(k) = 6*i(k) - q(k). Let g be p(11). Suppose -9 + 9 = g*b. Solve -4*h = 4*x + h - 45, 3*x + 5*h - 40 = b for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9181 bigger than 9181?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 4, r: 2, p: 3, h: 3, m: 2, b: 4}. What is prob of sequence rr?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 30*n**2 + 339*n + 1272. Determine u(-5).\nAnswer: 327","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2 + 4*h. Let b be n(5). Let a(s) = -2*s**3 + 3*s**2 + 5*s - 7. Let r(k) = -k**3 + 2*k**2 + 3*k - 4. Calculate b*r(j) + 3*a(j).\nAnswer: -j**3 - j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13.4*19.7.\nAnswer: -263.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17563, -1, 0.\nAnswer: -17563, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 77311 and 3?\nAnswer: 77308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -612868 rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -2*r**2 + 15*r - 22. Determine m(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 735891 - 367945 - 367947 + 3*z**2.\nAnswer: 3*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange z - 28*z**3 + 11*z**3 + 11*z**3 to the form u + l*z**2 + q*z**3 + h*z and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-13 + 10)\/(6\/(-224)). Let u be (3\/(-2))\/((-3)\/j). Calculate the greatest common factor of 14 and u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 4*l - 5*z - 80, l + 2*z = 25. Does 3 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -402, -407, -424, -459, -518, -607, -732?\nAnswer: -899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 132717421 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4213*w**2 - 14*w - 45*w - 4220*w**2 + 8434*w**2.\nAnswer: w*(w - 59)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10010100101110 + -1011?\nAnswer: 10010100100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152) - (sqrt(152) - (sqrt(152) - (sqrt(152) + sqrt(152)*1*6))) - (-3*1*sqrt(152) + sqrt(152)))\/(-5*-3*sqrt(72)*-6) + -2.\nAnswer: -2 + 2*sqrt(19)\/135","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 5*o = 3*p - 132, 33 = p + 2*o. Does 13 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -30*w + 30. Let h be s(1). Suppose h = 8*l + l - 2142. What are the prime factors of l?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31 * 3.15\nAnswer: 97.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-504)\/(-180))\/(1666\/85)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10313 - 3011530?\nAnswer: -3001213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.07 + -0.03. Let r = 3.9 - o. What is the third biggest value in -3, 2\/7, r?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 207\/(-63) - (-4 - -1). Let l be (-2 + 3)\/(4\/3). Suppose -3*u = -7*u - 4. What is the closest to u in a, l, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.055903 - 0.493427. Let t = 0.55 + i. What is t rounded to four dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/3, 0.8, -2\/7, 3, -1\/2, -2 in descending order.\nAnswer: 3, 4\/3, 0.8, -2\/7, -1\/2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*k**3 + 39447422264123*k - 39447422264123*k.\nAnswer: 4*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1101001101101011 (base 2) to base 13\nAnswer: 1b834","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 759193917.\nAnswer: 3, 253064639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5449312 to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -102*l + 52*l - 750 for l.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-6\/7)\/w)**(2\/129)*(w**(2\/3)\/w*w)\/w**(1\/16) assuming w is positive.\nAnswer: w**(8537\/14448)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1174160?\nAnswer: 2, 5, 13, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*i + 29*i**2 - 57*i**2 - 5*i + i.\nAnswer: -28*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from peppeeeeeepppepppep. Give prob of sequence ppep.\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 211 - 209. Suppose -14 = -t*h - 10. Let d(z) = 2. Let o(c) = -c**2 + 1. Give h*o(a) - d(a).\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the second derivative of -u**9\/252 - u**5\/30 + u**2\/2 - 2*u. Let m(d) be the first derivative of y(d). Find the third derivative of m(c) wrt c.\nAnswer: -240*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (8 - 3) - 2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 a when two letters picked without replacement from stsa.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -p, 10*p - 6*p + 32 = -4*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, -5, 12161, -10?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111110000100 - -1110110011100?\nAnswer: -111101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7578 - 6686. What is the remainder when z is divided by 183?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 27 and 33?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -1, -0.15, 12, 0, -50, 0.4?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 6 + 5 + 4 - -13\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) -58 (c) -1.8889\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 132\/(-176)*(18 - 14)*(0 + 6)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, p: 1, g: 4, d: 4}. What is prob of sequence dg?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 + 1)*-5 - 1. Let w(r) = r**2 + 3*r - 2. Let u be 78\/(-21) - 6\/21. Let a be w(u). Solve -d*p = -3*p - a for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 8 - 26)*(-11 + 1 - 10)*(-f**2 + 3*f - 3*f)*(-23 + 23 - 5*f**2) to the form g*f**2 + d*f**3 + p*f + y*f**4 + j and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 + 48?\nAnswer: 572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 9*n + 42. Let r be c(-4). Let h(v) = 3*v**3 + 13*v - 2. Let s(j) = 2*j**3 + 6*j - 1. Calculate r*h(w) - 13*s(w).\nAnswer: -8*w**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1772, -1750, -1740, -1748, -1780?\n\"Answer: -x**3 + 29*x - 1800","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 2*u - 3896 + 3877 = 0, -4*u + 20 = 4*x - 2*u for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from {e: 4, x: 6, c: 2}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 208 = 20. Let k = -43 - f. Factor -106*z + 106*z - 4*z**3 + k*z**2.\nAnswer: -4*z**2*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a**3 - 38445*a**2 + 9279264*a - 9240816 = 0. What is a?\nAnswer: -13052, 1, 236","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 279 a factor of 157325270?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*m - 2040 = -2472 for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, x: 2}. Give prob of picking 1 d and 2 x.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 70 and 35?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 29 = -5*m, -484 = -3*m + 4*y - 437 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1335150634?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 20 = -0*n. Let s = 0.31641 + 0.18359. Which is the nearest to -0.2? (a) n (b) 1\/4 (c) 1\/8 (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 11\/2 of a century?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 + 10*y + 13. Let o = -49 + 40. Let j be q(o). Solve 5*r = 3*p - 5, j*p + 2*r + r - 26 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2010212012 (base 3) to base 4.\nAnswer: -22103003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 5*p. Let b(u) be the first derivative of -u**4\/12 + 37*u - 25. Let t(a) be the first derivative of b(a). Calculate t(z(m)).\nAnswer: -25*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1049530000 rounded to the nearest one million?\nAnswer: 1050000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 438\/1022 + (-82)\/126.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by -161273.\nAnswer: 1\/23039","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 58*i + 3076. What is the tens digit of o(41)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 252920*b**4 - b**2 - 1479*b - 58?\nAnswer: 6070080*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1337408, -2674812, -4012216, -5349620, -6687024?\n\"Answer: -1337404*d - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of 7\/36*v**4 + 0*v**2 + 1\/5*v**5 - 2\/27*v**3 - 28 + 0*v. Factor n(t).\nAnswer: t**2*(t + 1)*(9*t - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 12639*f + 859486. Calculate w(-68).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/((-90)\/4))\/(6\/15).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -i**4*j + 5506*i**3*j**2 + 2*i**3 - 208*i**2 + 53*j**2 wrt i.\nAnswer: -24*i*j + 33036*j**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 440 + -391. What is the second derivative of -4*n**5 + 4*n**3 - 108 + r*n + 16 - 55 - 48*n wrt n?\nAnswer: -80*n**3 + 24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 335914 is divided by 434.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -4*f**2 + f + 2. Let u(v) be the second derivative of v**4\/2 - v**3\/3 - 3*v**2\/2 - 5*v + 16. Determine 8*d(b) + 5*u(b).\nAnswer: -2*b**2 - 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does -1590050\/713 = -2229?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -503 * 0.4.\nAnswer: -201.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 + 263. Let t(h) = -h**3 + h**2 + 10*h + 8. Let i be t(4). Is x(i) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 16960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1464.4 - 1333. What is g rounded to the nearest 10?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10932, -2, 19, 3 in decreasing order.\nAnswer: 19, 3, -2, -10932","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z + 13. Let y be v(-5). Let x(k) = -6*k + y*k + k. Let b(w) = -w. Calculate b(x(t)).\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 125 and 65.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 0*j = 0. Let o = -58 + 75. Suppose -i = 3*u - o, 4*u = 4*i + 5*u - 24. Put -4, i, j in decreasing order.\nAnswer: i, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/t**8)\/t)\/(t**(-5\/4)\/t))\/(t**(1\/3))**(-42) assuming t is positive.\nAnswer: t**(33\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -9, 2, 7 in ascending order.\nAnswer: -9, 1, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 4*g - 19. What is the remainder when 15 is divided by z(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69*y**3 - 68*y**3 + 712*y**2 + 0*y - y.\nAnswer: y**3 + 712*y**2 - y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + a - 3*a - 22, 5*a - 41 = -3*b. What is the lowest common multiple of b and 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1058454.8862 to the nearest one hundred thousand.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10*(32\/(-20))\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 + 37*l**2 - 23*l - 47. List the prime factors of a(34).\nAnswer: 7, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 2*q. Let d(b) = 9*b. Let s(c) = -6*d(c) + 26*h(c). Let f(n) be the first derivative of -17*n**2\/2 - 29. Calculate s(f(k)).\nAnswer: 34*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 - 13*d**2 + 27*d - 48. Let o be b(-15). What is the closest to -0.1 in -4, -0.4, o?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -206.74 - -6\nAnswer: -200.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46339?\nAnswer: 149, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**2 + 6*z + 23. Let o be d(9). Suppose 0 = x + 1. Let s(b) = b**2 - 12*b + 4. Let h be s(12). Sort h, x, o in descending order.\nAnswer: h, x, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 97 (b) -0.12 (c) -1\/6 (d) 1 (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*b = 5*i - 91*b + 15, 16*b = 32 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 549 from 0.04.\nAnswer: -548.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-10\/3)\/(l**(6\/11)\/l)*(l**(-1\/3)*l)**35)**(-42) assuming l is positive.\nAnswer: l**(-9450\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16.6 - 14. Let k = h + -1.92. What is k rounded to one decimal place?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2510 + -2499.27. Let r = h - -0.27. Let g = -6 + r. Which is the second smallest value? (a) -2\/11 (b) 3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9.3 + -9.6. Let f = h - -32.3. Let b = f - 31.99999979. Round b to seven dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cclclccaamamnckmlmlc. What is prob of picking 1 m and 1 l?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6\/12)\/(1\/4). Is j smaller than 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 - 3*f**2 - 2*f - 4. Suppose 20*v - 14 = 23*v + i, 0 = 5*v - 4*i + 12. Calculate the remainder when u(6) is divided by (-19 - -50) + -3 + v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 52*p + 160 - 52*p - 5*p**2 + 3*p**2 to n + l*p + k*p**2 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -62.2?\nAnswer: 18.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -2*r**3 + 18*r**2 + 119*r + 272. Let u(k) = 4*k**3 - 45*k**2 - 239*k - 543. Let f(s) = 5*a(s) + 2*u(s). What is the first derivative of f(q) wrt q?\nAnswer: -6*q**2 + 117","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, -6, 4, -47, 0 in increasing order.\nAnswer: -47, -6, 0, 4, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11366*g**6 - 47*g**4 + 2047096*g**2?\nAnswer: -1363920*g**3 - 1128*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(84) - sqrt(84))*-3)\/((sqrt(144)*2)\/sqrt(12)))**2 + -3 + 3*-3*((-2*sqrt(49) + sqrt(49))*-5)\/sqrt(7).\nAnswer: -45*sqrt(7) + 51\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.421848 rounded to 2 dps?\nAnswer: -8.42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2.6, -9.66, -5?\nAnswer: -9.66","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = 3\/224815?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 3*m**3 - 81*m**2 + 165*m - 63. Let s(d) = -d**3 + 32*d**2 - 66*d + 25. Let a(f) = 12*s(f) + 5*z(f). Find r, given that a(r) = 0.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o**5\/3 + 17452*o**4\/3 - 110180*o**3 + 573516*o**2 - 469152*o = 0. Calculate o.\nAnswer: 0, 1, 9, 4344","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 106 divide 1657700?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01 minus -611?\nAnswer: 610.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1401*j**4 + 1483*j**2 - 2?\nAnswer: -33624*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 PM and 4:28 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -287330\/123 + 2336. Let p = k + -236\/615. Let i = 7989 + -7983. Put p, 2, -1\/9, i in ascending order.\nAnswer: p, -1\/9, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -1597*t + 3136. Is m(-13) a multiple of 121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 80\/13, 2\/581, -0.008?\nAnswer: 80\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 354917 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -327*o - 1982. Determine b(-6).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 78, -24, 5.\nAnswer: -24, 5, 6, 78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -2641*y + 3. Let r be n(-2). Suppose -2*f = 4*u + f - 4226, 5*u = -5*f + r. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -7 - 19 + 43*l - 4. Let g be r(1). Let j = 51 + 40. Calculate the highest common factor of j and g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + 0\/((-6)\/(-2)). Suppose -25*w - 56 = -53*w. Put w, k, 1, 3 in decreasing order.\nAnswer: 3, w, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16160 + -12.\nAnswer: 16148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16 - -21. Calculate the remainder when 17 is divided by n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 5*f + 12 = -13, 0 = -4*t - 2*f + 44. What is the remainder when 14 is divided by t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 - -9. Suppose 0 = -0*v + v - 40. Suppose -2*n - 2*n + v = 0. What is the lowest common multiple of n and u?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 56 + -55. Let v(b) = b + 1. Let x(f) = -f**3 + 3*f**2 + f + 8. Let k(w) = 5*v(w) - x(w). Let y be k(2). What is the nearest to m in 0.5, 4, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -24, -39, -58, -75, -84, -79, -54?\n\"Answer: i**3 - 8*i**2 + 2*i - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -4*f - 9. Let r(u) = 7*u + 17. Let z(w) = -5*q(w) - 3*r(w). Let t be z(-9). Sort t, -5, -2.\nAnswer: -5, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5\/((-15)\/(-27))*-1. Let h(p) = -p**2 - 14*p - 13. Let o be h(f). Suppose -z = -o - 33. Is 14 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 20 = z + 4*c, 4*c = -z + 26. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*b + 5*b - b)*(-2*b + 0*b - 2*b) + b**2 - 2*b**2 + 0*b**2 + (0*b + b + b)*(0*b + 3*b - b).\nAnswer: 7*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4495\/651 - (-2)\/21 - (1 - -8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 27*n = 79, -5780*u = -5783*u - 2*n for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and 0.023.\nAnswer: -0.0046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4144, -4129, -4090, -4015, -3892, -3709?\nAnswer: -3454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 51*v**4 - 2*v**3 - 64*v**4 + v**3 + (2 - 4 + 3)*(-v**4 - 4*v**4 + 6*v**4).\nAnswer: -12*v**4 - v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.06? (a) 16.18 (b) 1\/45 (c) -5 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, o: 3, g: 10, q: 2, w: 3}. What is prob of sequence gq?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wac when three letters picked without replacement from ccoaclwwcccrccccllw.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/5)*u\/u**(-3\/2))\/(u**(2\/7)*u**(-1)\/u) assuming u is positive.\nAnswer: u**(323\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 338 and 72.\nAnswer: 12168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/((m*m**8)\/m)*m)\/((m\/m**(-3))\/m))**(-24))**(1\/72) assuming m is positive.\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 61.5 + -61.837. What is l rounded to 2 dps?\nAnswer: -0.34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 26\/12905 and -51\/3560.\nAnswer: 103240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1\/(-3))\/(-4 - -3). Let f = 0.9 + -0.9. Which is the third smallest value? (a) -1 (b) f (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 232 - 232.2. Let g(q) = -4*q**2 + 5*q + 5. Let u be g(5). Let l be 2\/(-7) + (-48)\/u. What is the second smallest value in y, l, -1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 37, 0, -5, 14 in increasing order.\nAnswer: -5, 0, 14, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 12*n = -1, 2*n = 2*x - 97 + 95 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes after 6:28 PM?\nAnswer: 8:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 6*d - d. Suppose -4*y - 5 + 13 = 2*f, y + 3*f = d. Solve y*w = 4*m + 2, 3*w + m + m = 3 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, r: 14, o: 1}. What is prob of picking 2 r, 1 y, and 1 o?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*i**4 - 3*i**2 + 4*i**2 - 1 - i**4 + (4*i**3 - 4*i**3 + 2*i**3)*(-26 - 13 + 7)*(2*i - 1 + 1).\nAnswer: -126*i**4 + i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 91413409487 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1287, 1316, 1347, 1380, 1415?\nAnswer: 1452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 89, -1, -8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 - h - 1. Let r(z) = z**2 + 6*z. Let a(u) = -2*c(u) - r(u). Let v = 44 - 29. Let g be 7\/3 + (-5)\/v. Give a(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -0.23, -0.05, 2\/3, 15 in descending order.\nAnswer: 15, 5, 2\/3, -0.05, -0.23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11334.\nAnswer: 2, 3, 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - 2. Suppose -2*m = 4*v + 18, -2 = v - w*m + 6. Let c be 3\/(-9) - 32\/(-6). Sort c, 4, v in decreasing order.\nAnswer: c, 4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/9 (b) -1 (c) 2\/3 (d) -49 (e) 1591\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -184, -264, -374, -502, -636, -764, -874, -954?\n\"Answer: 2*o**3 - 27*o**2 - 13*o - 146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152) + ((sqrt(152)*2 + sqrt(152) - sqrt(152))*-4 - sqrt(152)))\/(3*sqrt(200) - sqrt(8)).\nAnswer: -4*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 45490622273 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2122096 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 3*h - 4, 0 = 3*k - 4*h - 1 - 2. Let m = -7 - -11. Let r = -3.9 + m. Is r not equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(2 + 5*-4*(4*(sqrt(192)*-2 - sqrt(192)) + 2)))**2.\nAnswer: -1313280*sqrt(3) + 99545796","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 474 and 948.\nAnswer: 948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 5*a = -448, 3*p - 3*a + 4*a = 1264. What is the remainder when p is divided by 53?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120 = 20*a - 140. Suppose 3 = -a*j + 29. Solve -51\/7*y + 9\/7 + 2\/7*y**3 - 13*y**4 + 82\/7*y**j + 7*y**5 = 0.\nAnswer: -1, 3\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 460\/276*(-36)\/(-2). Solve 0 = -3*y - 3*b + 15, 5*y + 7 = -4*b + d for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 77 and 1606?\nAnswer: 11242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(425) + -3 + 4 + (sqrt(425) - 3*(sqrt(425)*3 + sqrt(425))) + -1)**2*-4.\nAnswer: -510000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 176186 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1770272?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -42440310 (base 5) to base 10.\nAnswer: -358830","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 2*g**3 + 9*g**2 - 44*g - 189. Let z be b(-4). Sort 1, -63, 3\/2, z in descending order.\nAnswer: z, 3\/2, 1, -63","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 - 4*i**2 - i + 8. Let j be b(4). What is the greatest common divisor of j and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 3*d**2 + 11*d + 8. Let a(v) be the first derivative of 4*v**3\/3 + 6*v**2 + 9*v + 8. Let i(n) = -4*a(n) + 5*t(n). Calculate i(8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34, -54, -94, -160, -258, -394, -574, -804?\nAnswer: -1090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 3 + 1 + -3\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -107*l + 1170 = 134*l - 14*l + 16152 for l.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*p - 119*p + 129 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 4, -0.5, -3, 2\/611?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2 - 7*m + 6. Let a be b(-6). Let y = a + 47. Is 21 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssso. Give prob of sequence ssso.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 + -6. Solve v = -5*m + m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + -1 - (3 + -1). Let h(w) = -w**3 - 5*w**2 - 5*w - 2. Let b be h(y). What is the third biggest value in b, 5, -2\/7?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.183 + 1.817. What is the biggest value in 1\/9, o, 3.3?\nAnswer: 3.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/18*8\/4*-3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 10*t - 34 = -8*t, 2*u - t + 19 = 0. Let h(n) = -n - 1. Let d(q) = -q - 48. Let m(l) = -d(l) + 4*h(l). Is 16 a factor of m(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.6413 plus -0.95034?\nAnswer: 2.69096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -56, -28, 32, 142, 320, 584?\nAnswer: 952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 6 + 2)*(-4*g**3 + 5*g**3 - 5*g**3) + (5*g - 5*g + 7*g)*(-g**2 - g + g).\nAnswer: -23*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.9 and 336199?\nAnswer: 638778.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + 34 + -18 + -4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 4, z: 3}. What is prob of picking 2 z?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 34183?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + -3.6. Let t = -0.6 - m. Let i = -2.1 - -2. What is the nearest to i in t, -4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21713619 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -67989419 - -67989389.999911. Let c = -73 + 102. Let q = c + g. What is q rounded to 5 decimal places?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 174 = 3*b - 168, 4*a + 5*b = -19 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tccf when four letters picked without replacement from fffcttcctttc?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48.38748ml to litres.\nAnswer: 0.04838748","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/8)\/((-1)\/4). Let z be d + 2 + 0\/(-2). Suppose -60 = -2*w - x - 0*x, -81 = -3*w + z*x. Is 8 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, g: 3, s: 1}. Give prob of picking 1 r and 1 g.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 563648562?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -7770.\nAnswer: 1\/7770","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -25 + 15ad?\nAnswer: 1588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2702515 and 615.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -184 + 68\/3*o - 68\/3*o**3 - 4\/3*o**4 + 556\/3*o**2 = 0.\nAnswer: -23, -1, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1101 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 42001, 43541, 46115, 49729, 54389, 60101, 66871?\nAnswer: 74705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 177, 665, 1469, 2583, 4001, 5717, 7725, 10019?\n\"Answer: -k**3 + 164*k**2 + 3*k + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8988\/359 or 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n - 2*n + 3*n)*(-1 + 4 - 1)*(-101 + 101 - 18*n) + 2*n**2 - n**2 + 0*n**2.\nAnswer: -35*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.2 - 0.4. Let v = 4.1515 + -5.6515. What is the nearest to v in -0.6, -1, w, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, 75, -4, -60, 5.\nAnswer: -60, -4, 0, 4, 5, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 + (6*(-4)\/4 - 3). Let i be p\/(-63) + (-309)\/7. Let w = i - -48. Let q(j) = j + 2. Calculate q(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (14 - 8) - (-2 - 1 - -4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 56 and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 1)*(-890*a**3 + 890*a**3 - 12*a**5).\nAnswer: -36*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 + 31*j**2 + 229*j - 128. What is f(-18)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of -n**4\/4 - 5*n**3\/3 + 2*n - 2. Let r be t(-5). Find the second derivative of 4*q + q**r - 5*q + q**2 wrt q.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 124\/8 - (-4)\/8. Let i = 24 - j. Is 4 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) 3 (c) 1 (d) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the first derivative of -547*q**5\/5 + 175*q**3\/3 + q**2\/2 - 3153. Find the third derivative of a(k) wrt k.\nAnswer: -13128*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 891, 1.55, -4, 3\/5 in increasing order.\nAnswer: -4, 3\/5, 1.55, 891","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 3*n**2 + 2*n + 6. Suppose -3*q = 1 - 13. Let l(u) be the second derivative of -u**4\/6 - u**3\/6 - 5*u**2\/2 - 3*u. Determine q*l(y) + 3*g(y).\nAnswer: y**2 + 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*g - 56 = 48. Suppose 20 + 28 = -g*a. Suppose 3*j = -3*l + 2*l + 7, 0 = -l - 5*j + 13. Sort -4, a, l in decreasing order.\nAnswer: l, -4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 3*r = 5*k - 66, -3*k + 165 = 5*r. Let p be 3 + (-192)\/r + 12\/4. Let g = -4 + 13. Which is the smallest value? (a) 2\/9 (b) p (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a + 4. Let s(i) = -23*i. Determine s(v(l)).\nAnswer: -23*l - 92","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0013690429 rounded to four dps?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 82 (b) 4 (c) 16.33 (d) 0.3 (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, -1272047, 1\/6, 0.1?\nAnswer: -1272047","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -67.\nAnswer: -3\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 45644399?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1702 = 18*z - 1774 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -2*n - 7. Calculate u(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 + 9 - 15) + 9 + -4.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1033.\nAnswer: 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 0*m - 5 = -3*m, 9123*p - 9124*p - 16 = -4*m for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the second derivative of a**4\/12 - a**3\/2 - 5*a**2\/2 + 78*a + 2. Let f be z(-2). Solve -m - 16 = -2*m + 5*c, f*m + 4*c = -7 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -153625344 by 4.\nAnswer: -38406336","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88)*-2*-6)\/((sqrt(72) - sqrt(72)*-2)\/sqrt(9)).\nAnswer: 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7887045?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.259 to 1 dp.\nAnswer: -9.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 3*a - 4*z, 6*z + 20 = 4*a + 2*z. Solve 0 = a*g + 3*g + 15 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18 - -47. Suppose -12 = h - c. Let d(x) = -x**2 + 7*x. What is the remainder when h is divided by d(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -2)\/(95\/(-38))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -12*s**5 + 885*s**4 - 4914*s**3 - 33852*s**2 - 34674*s - 6633 = 0. Calculate s.\nAnswer: -3, -1, -1\/4, 11, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the third derivative of -b**7\/315 + b**6\/36 - 7*b**5\/90 + b**4\/12 - 86*b**2. Factor s(w).\nAnswer: -2*w*(w - 3)*(w - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1980 from 22.\nAnswer: -1958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 2*d = 62, 40 - 99 = -4*y + 5*d. Let w = y - 9. Let r = -3 - -16. Calculate the remainder when r is divided by w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 258 is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t = 716 - 728 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 AM and 10:17 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 678 and 3.\nAnswer: 2034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.269882 + 130?\nAnswer: 126.730118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*h**2 + 4*h**2 + 9*h**2 + (-3 + 3 - h**2)*(-1 - 3 + 2) in the form m + c*h**2 + t*h and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 18137 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 2*w + 2 = 6*x, -3*w = -3*x - 3. Suppose 49 = 4*b - 5*a, b + x*b - 2*a - 13 = 0. Let p = -6 - b. Which is smaller: 0 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77 = 3*h + 2*a - 50, a = -h - 11 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 69.575*-81.\nAnswer: -5635.575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5*(5 - 1 - 3). Suppose -8 = -o*w + 2. Solve w - 1 = -p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 50077233*y**3 - 40108225 with respect to y.\nAnswer: 150231699*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 - 8*t - 3. Suppose -56*o = -51*o - 195. Suppose 52*n - o = 13*n. What is the least common multiple of u(-6) and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1181, -3572, -7179, -11990, -17993, -25176, -33527, -43034?\n\"Answer: 2*u**3 - 620*u**2 - 545*u - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -533*h**3 - 547*h + 1092*h - 545*h.\nAnswer: -533*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -335 + 447. Suppose u - 104 = 4*b. Solve -2*y + 1 - 3 = b*q, y - 2*q = -7 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2956 = -140*h - 2256 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 749 = 48*m + 173. Calculate the highest common divisor of 1692 and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6468427?\nAnswer: 7, 347, 2663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 176181?\nAnswer: 3, 58727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 375 and 3250.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*t**3 + 21*t + 1007299 + 3*t**2 - 1007299 + 0*t**2 as y + l*t**3 + o*t**2 + s*t and give l.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 2*g**2 + 11 - 10 - 3*g - 5*g**3 + 15*g**3 - 9*g**3. What is k(2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -105 and 93545.\nAnswer: 93440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 2*r**2 + r - 1. Let t be u(1). Let f(p) = 2 - 2*p - t. Let l(i) = 7*i + 15. Let y(k) = -14*k - 27. Let d(m) = -9*l(m) - 5*y(m). Determine f(d(x)).\nAnswer: -14*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2083*d**5*h - 3*d**4*h**2 + d**2*h**2 + 10*d**2*h + 17*h**2 wrt d?\nAnswer: -124980*d**2*h - 72*d*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11911 divided by 2.\nAnswer: -11911\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 243 - 793*l**2 + 49*l**2 + 32 - 134*l**2 + 11 with respect to l.\nAnswer: -1756*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20321 (base 5) to base 16\nAnswer: -538","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (-1 - 0 - (-15 - 0 - 6)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -9\/8, 3, 0.3, -24, -2 in decreasing order.\nAnswer: 3, 0.3, -9\/8, -2, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/7, 189\/5, 17?\nAnswer: 189\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17662 - m**2 + 17662 + 4*m**2.\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -11*l - 15. Let b(z) = z. Let d(x) = 4*b(x) + y(x). Let f(u) = 2*u + 6. Let p(o) = -2. Let a(g) = f(g) + 3*p(g). Calculate d(a(q)).\nAnswer: -14*q - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -621 - -330. Let h = f + 520. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -4, -101077, -2.011?\nAnswer: -2.011","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5 - (-1 + 2 + 2). Suppose 80 = m*y + p, 108 + 56 = 4*y + p. What are the prime factors of y?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*b**3 + b**2 - 5*b**3 - 185089 + 185089 - 11*b in the form d*b + i + v*b**3 + a*b**2 and give d.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10\/8 + 185\/(-20) + 9. Let h be 0\/((-2 - -4) + -1). Sort 26, v, h in ascending order.\nAnswer: h, v, 26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 35 and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -47549, -95518, -143499, -191498, -239521?\n\"Answer: -v**3 - 47962*v + 414","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 65*i**2 - 398755*i + 3858750 = 0?\nAnswer: 126\/13, 6125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/3 - 6\/(-9). Let p(f) = 3 - 2 - f + a*f. Suppose -i - r = -4, i - 4*r + 14 = 4*i. Determine p(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -748 (base 11) to base 7.\nAnswer: -2423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-816)\/(-40))\/6*(-46 + 41)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of p**4\/4 + p**3 - p**2\/2 - p - 4. Let g = -23 - -21. Let f be (-2 + 6)\/g - 0\/(-1). Determine l(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 287 + -283. Let m(l) = l + 2. Give m(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 1066 = 2*d, -2*w + 2*d + 579 = 41. What is the lowest common multiple of w and 2?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8399 + -8385. Solve -10*s + 24 = o*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2 + 2*a. Let v = -1 + 1. Suppose 5*k + 2*z = -16, v*k - 3*z = 3*k + 6. What are the prime factors of q(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - 68\/6 - -5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7669 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 r when three letters picked without replacement from ereffzfffeefffefrzr.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 15\/4 of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -3*k**3 + 222*k**2 - 4*k + 250. Calculate p(74).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the second derivative of -24*c**3 - 531*c. Let v(a) = 2*a. Let j(h) = -3*h. Let l(u) = -4*j(u) - 5*v(u). Give l(m(q)).\nAnswer: -288*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 + 12*m**2 + 2*m + 5. What are the prime factors of s(12)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t + 5. Let o = 13 + -22. Let y = -3 - o. Suppose 3*c = 6 + y. Calculate a(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 673.9*5.\nAnswer: 3369.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 6, v: 2, r: 8, l: 3}. What is prob of sequence qrqr?\nAnswer: 35\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.502039t?\nAnswer: 502039000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 AM and 3:40 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - 3*x. Suppose 0 = 2*w - 4, -w + x*w - 13 = -3*i. What is the least common multiple of i and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -362.60358 to 2 decimal places.\nAnswer: -362.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1457, 1458, 1459, 1460, 1461?\nAnswer: 1462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 135 and 66203271.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 + 6*j**2 + 5*j + 8. Let w(i) = i**3 - 4*i**2 - 19*i + 49. Let y be w(6). Determine c(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-98359)\/(((-2)\/3)\/(-2 - 96\/(-36))) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1244 equal to -1241?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of -k**5\/20 + k**4\/6 + k**3\/3 + k**2\/2 + k. Let x = -95 + 98. Calculate f(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3 - 1)*(0 + 2). Let a = z - 3. Let h = -1 - -4. Solve 0 = -h*q + a + 2 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 47463*f**2 + 2*f + 19176?\nAnswer: 94926","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 45*z - 41. Let d be l(-3). Let g be 6*(d\/(-42) + (-60)\/15). Which is greater: -2 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*i**5 + 6157*i**2 - 430*i - 356?\nAnswer: 160*i**3 + 12314","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * 12958937.\nAnswer: -64794685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 47*w + 1141. Give m(-24).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*x + 184 = 2*x + 104*x. Sort -3, x, -4, 5, 39 in decreasing order.\nAnswer: 39, 5, x, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -143819 and -143737 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -65\/12 - -19\/4. Let v = -0.04 + 4.04. Which is the third biggest value? (a) 0 (b) v (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -918685391*j**3 - 13192*j**2 - 5119*j - 2.\nAnswer: -5512112346","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/((1 - 4)\/((-3)\/2)). Suppose 2*d + 2*o + 10 - 6 = 0, z = -d - 4*o - 14. Factor 2\/3*h - 2\/3*h**3 - 1\/3 + 1\/3*h**4 + 0*h**d.\nAnswer: (h - 1)**3*(h + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15316699 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 6*c + 105. Let q be n(-17). Solve -f = q, -4*h + 2*f - 6*f = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -31835*k**2 + 14262*k**2 + 15456*k**2 in the form v + b*k + j*k**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/3 - (-40)\/12. Suppose -d*r = 4*z - 20, -r = -3*r + z + 7. Solve q + 0*q = 3*l - 10, 12 = 5*l - r*q for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25099324 to the nearest integer?\nAnswer: 5010","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 116831?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1164890968?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or 69562?\nAnswer: 69562","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + -3102?\nAnswer: -3033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67553?\nAnswer: 43, 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 667835688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2063592.\nAnswer: 2, 3, 28661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -324*f + 311*f + 39 = 0. Let r(o) = 22*o - 8. Let v(z) = z + 1. Let m(d) = r(d) + 4*v(d). Is m(f) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, o: 4}. What is prob of picking 3 y?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 5*n + 36. Let v be p(0). What is the second derivative of -36*q**2 - 8*q**5 + v*q**2 - 33*q**5 + 5*q wrt q?\nAnswer: -820*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*o + 9*y - 66 = -2*y + 48, 2*o + 16*y + 20*y - 12 = 32*y for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -2*n**3 + 4*n**2 - 207*n + 3014. Calculate x(9).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -23, 8, 5\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - u = 175. Suppose -3*q = -r + 25, r - 2*q = -q + u. Does 14 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 5*u - 4. Let g(i) = -5*i - 7. Let s be g(-2). Calculate a(s).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3020649914 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*v - 16074 = -12193 + 16839. Solve 90*m = 50*m + v for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -9*h + 4. Let q(z) = 44*z - 41. Let x(k) = 15*k - 13. Let f(g) = -2*q(g) + 7*x(g). Determine -9*c(b) - 4*f(b).\nAnswer: 13*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 372643483?\nAnswer: 191, 1951013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-465)\/248)\/(9\/(-144))\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 + 5*c**2 + c + 5. Let b(q) = 3*q - 1. Let m be b(1). Let j = -3 - m. Let d be n(j). Solve d = t + 2*i + 4, 3*i = -3*t + 5*t + 1 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 83 or 422?\nAnswer: 83","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1511721 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.246 and -0.4.\nAnswer: -0.0984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 162269468 to the nearest integer?\nAnswer: 12739","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*g + 229 = 3*y + 208, y + 9 = -3*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/2? (a) -3\/7 (b) 4 (c) -105\/4 (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -124 by 4.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pnpnppnppppppp. What is prob of picking 1 n and 2 p?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4710358 to the nearest integer?\nAnswer: 2170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -152.402 rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 770 = -4*h - 175, 0 = -3*h - 3*a - 702. Let y be (-3)\/5 - h\/(-25). Let b = 15 + y. Solve -2*g = -g + b for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1000230764?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*s + 197 = -715. What is the greatest common divisor of s and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 3*i = 1. Let z = i - -2. Solve -2*g + 10 = z*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2.03 and 1.\nAnswer: -1.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*j - 11*j - 15. Let d be (-3)\/1 - -2 - -1. Solve -k = -d*k + j for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 11:27 PM?\nAnswer: 9:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-2\/3)*t)**(-7\/2)*(t**(-2\/3))**(1\/15) assuming t is positive.\nAnswer: t**(-212\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = 4*q - 2, 175 = 3*q - 151*y + 150*y + 179 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i**2 - 4*i**2 + 2*i**2)*(258*i + 265*i - 526*i - 140*i**3) + i - 14*i**4 + 13*i**4 - 3*i**3 + 6*i**3 - 2*i**5.\nAnswer: -142*i**5 - i**4 + i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-42)*49\/42?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 + 5*q**2 - 5*q + 7. Let g be m(-6). Let u = 0 + g. Let n be (-1)\/6 + u\/2. Do -0.1 and n have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-g - 5*g + 5*g)*(3*g + 16*g + 2*g)*(3 + 35*g - 3 - 134*g) to the form h*g**2 + p*g**3 + u + a*g and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 380278551.\nAnswer: 3, 47, 53, 151, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = -2*y - 42, -5*a - 170127*y - 35 = -170132*y for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1706584342923\/1544839132630 + -1\/181532213. Let n = 4\/851 - g. Let f = -5081 - -101539\/20. What is the common denominator of n and f?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11 and 209.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (1920\/16800)\/((-19)\/(-1064))\nAnswer: 32\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 - 16*j**2 + 29*j + 10. Calculate d(13).\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*y - 14*y + 195 = 0. Let i = 77 + y. Solve -3*w = -0*w + i for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1450720?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 0.0494, 2\/9, 1\/3.\nAnswer: -1\/2, 0.0494, 2\/9, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, e: 2, y: 4, f: 9}. Give prob of sequence nnf.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 6*a + 4. Let w = 159 - 153. List the prime factors of s(w).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 38 - 36. Suppose 3*g - 5*g = -s. Is (g + 0)*1768\/13 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-4) + (-173)\/(-692).\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + 0. Let p(w) = -2*w**2 + 58*w - 408. Let u be p(12). Which is the nearest to n? (a) u (b) -21 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -82508 or -330035\/4?\nAnswer: -330035\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 131 or -0.4286?\nAnswer: -0.4286","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 470476297.\nAnswer: 877, 536461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 827?\nAnswer: 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1617)*1)\/(-3*sqrt(108)).\nAnswer: -7*sqrt(11)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 22 (b) 3 (c) 31 (d) -604\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1363617.9891 - -1363719. Let c = q + -101. What is c rounded to three decimal places?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*2*(-1)\/7. Suppose 4*r + 24 = 104. Let s = r - 20. Does s = g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -563 + 567. Suppose 3*f - 6 = -0*f. Suppose -4*y + 29600 = 4*r, f*r - 3*y = -h*y + 14800. What is r rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -40 - -39 - (-3 - (0 - 1))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 693 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*s - 2*s + 4*s - 22*s.\nAnswer: -32*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2630, -2693, -2756, -2819, -2882, -2945?\nAnswer: -3008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2563168.\nAnswer: 2, 173, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8965 is divided by 85?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*l + 3*s - 17, -4*l + 1 = 1450*s - 1455*s for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.1935 + -0.4265. What is the second smallest value in -1\/3, 0, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63.9782 tonnes to milligrams.\nAnswer: 63978200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1224*h - 36*h + 192699 = -1108*h - 83*h for h.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 + -4. Suppose -5*k + 360 = 5*w, -5*k + 156 = 4*w - 201. Suppose 0 = 2*v - 5*c - k, h*v = 2*v - 5*c + 27. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = 15 - 3 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3224 is divided by 634.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -31 - -24. Which is smaller: w or 1\/4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 158935562 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/11 in 1, 2161, -0.4, -205, 0.5, -3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*u - 4 = 12*u. Put u, 1, 5 in descending order.\nAnswer: 5, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 54040 and 90324.\nAnswer: 6322680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5\/(-10) + 11\/2. Suppose q*p - 4*p = -5*y + 115, -2*y = -p + 115. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) 3\/62 (c) -1\/5 (d) 0.1 (e) 0.3 (f) 0.12 (g) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - ((8 - (2 + 4)) + -22)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 11 = 4*n - y, 5*y + 29 = n. Suppose -2*v - 1 = -23. Let c be (12\/10)\/((-4)\/(-10)). Solve -m + c = 2*p, p + n*p = m + v for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 486*g**2 - 3884*g - 30. Give k(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 - 7. Let i = -178.9 - -167. Let n = i + 12. Put 5, f, n in decreasing order.\nAnswer: 5, f, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8800 and 12.\nAnswer: 26400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mi when two letters picked without replacement from iigmmiqqqimmizi?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 2 + 6*sqrt(6)\/(sqrt(12)\/(sqrt(4) + -3*sqrt(4))))*2.\nAnswer: -24*sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2000, 4115, 6230, 8345?\n\"Answer: 2115*i - 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3506611 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1685 by -5.\nAnswer: -337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10789 + 38981. Is 30 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 y when four letters picked without replacement from {y: 14, e: 1}?\nAnswer: 11\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -1 + -2 - -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 42096 and 16.\nAnswer: 42096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 5*j - 44. Let w = 0 + j. Solve -2*s = -5*g - 31, w = -4*g + g - s for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.3 and -1602.3?\nAnswer: 1602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 - 2 - 8)*(-3 + 2 - 1)*(2*n - 5*n + 2*n)*(0*n + 0*n + 2*n**2).\nAnswer: 24*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 3*f - 49, 2*g - 5*f + 3*f + 34 = 0. What is the common denominator of (g + 1)\/((-22)\/(-4)) and (712\/(-40))\/((-24)\/10)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.23 - -0.23. Sort d, 1, 2 in decreasing order.\nAnswer: 2, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**2 + 16070356*y + 32140728.\nAnswer: -4*(y - 4017591)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k + 8. Let v be f(-3). Solve -v*p + 2 = -18 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 984.\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 8068703 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -17344 + 8667 + 26*x + 8670. What is u(0)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 140468125?\nAnswer: 5, 7, 97, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2*-2)\/(5\/1). Suppose 6 = 5*m - 19. Let g be -4 + m + (-1)\/2. Is c less than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 42430 and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 9 - 8 + 22 - 2734*u + 11131*u.\nAnswer: 8397*u + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**6*y)\/y)\/(y*y**1*y))\/(y*y\/(y*y\/y**(-2\/5)))**(-3\/16) assuming y is positive.\nAnswer: y**(117\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 234483?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1366489 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*o + 2*m = -70*o, o + 10 = -3*m for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + 8 - (1 + -9).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 + 5*z**2 - 2*z + 1. Let b be y(4). Which is smaller: b or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (((sqrt(50)*-2*-6 - sqrt(50)) + sqrt(50) + -2*sqrt(50)*4)\/((-5*sqrt(490) - sqrt(10))*-2))**2.\nAnswer: 5\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1)\/(-1))\/(-2 + 3). Let z be 2 + d + 2 - 1. Let j be (-1 - -5)*(z - 3). Solve 3*f + j = -f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 3*n + 4. Suppose 3*o - 3*w = 2*o - 13, 0 = 2*o - 3*w + 11. Let r(p) = -p + p**o + 3 + p**3 + p**2 - n. Give r(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -107 - -114. Sort 3, y, -3, 6 in ascending order.\nAnswer: -3, 3, 6, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -208 = -2*y + 136. Suppose -385*p - 468 = -381*p. Let x = p + y. Is x a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -369*w + 1118*w - 371*w - 5*j = 376*w - 27, -5*j = 5*w + 15 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1025, 1618, 2213, 2810, 3409, 4010?\nAnswer: 4613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) -1 (c) 0.5019 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0034832 rounded to 3 decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*2\/2 - 1. Let b be -1 - 24\/6 - (h - 1). Let j(d) = -7*d - 2. What is j(b)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 345? (a) -0.3 (b) -1\/316 (c) -3 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 - -38*(-2)\/4. Let j(i) = 5*i - 26. Let d(r) = -r. Let x(q) = -6*d(q) - j(q). Let z be x(o). Sort -2, -5, 5, z.\nAnswer: -5, -2, 5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(10 + (-245)\/25)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133 a factor of 48788124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 133600000 to the nearest 1000000.\nAnswer: 134000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3905 + -2088. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4132 + 4144. Let v be (-16)\/(-7) + 2 + 6\/(-21). Solve 3*l + 2*r + j = -0, l - r = -v for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -2 - q - 3 + 3. Let p be m(-4). Suppose -p*s + 91 = -27. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes after 2:40 AM?\nAnswer: 4:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l - 138. Let a(g) = 23. Let y(i) = 6*a(i) + q(i). Let d(v) = -5*v + 3*v - v - 12*v**2. Determine y(d(o)).\nAnswer: -12*o**2 - 3*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 903 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 5:09 AM?\nAnswer: 10:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a millennium in months?\nAnswer: 45000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 - (-26)\/(-4)*-2. Let i be 2\/6 + 145\/w. Suppose i = 4*h + 4*g - 214, -4*h + 215 = -5*g. Calculate the greatest common factor of h and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**2\/3 + 872773*h\/3 - 9600866.\nAnswer: (h - 33)*(h + 872806)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nvumr. Give prob of sequence nmur.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrr. Give prob of sequence rrrr.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes after 12:55 PM?\nAnswer: 8:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*g = 13*g + 340. Let l = -37\/3 + 1153\/93. What is the nearest to l in g, 0, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (152*c**2 - 143521*c + 141*c**2 + 143521*c)*(3*c - 2*c - 2*c).\nAnswer: -293*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + -1)*-5*2 + 5 + sqrt(1573)*-2.\nAnswer: -32*sqrt(13) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 + 236. What are the prime factors of g?\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2564886 or -2564867?\nAnswer: -2564886","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 10*l**3 + 4*l + 4. Suppose 2*s - 4 + 14 = -4*p, p + s + 1 = 0. Let h(a) = -19*a**3 - 7*a - 7. Determine p*h(f) - 7*i(f).\nAnswer: 6*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*b, -4*b - 30 = -5*f + b. Let r be 6\/135*f + 28\/36. Solve 0 = -w - r for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*i*n - i*x*z**2 - i*x - 5*i + n*x*z**2 - 2*n*x - 12*x*z with respect to n.\nAnswer: 6*i + x*z**2 - 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11753?\nAnswer: 7, 23, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 27, 82, 177, 318, 511, 762, 1077, 1462?\n\"Answer: j**3 + 14*j**2 + 6*j + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.3 - -31.3. Let t = -28.047 + n. Round t to 2 dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -669924, -669928, -669932, -669936, -669940, -669944?\n\"Answer: -4*m - 669920","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -118*t - 222*t + 9795 - 1295 = 0 for t.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18 + -16. Let f be 14\/3*d*-3. Let w = -13 - f. Does 3 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2 + 7*u + 9. Suppose 0 = -3*y, -29*p - 5*y = -24*p + 60. Let r be p\/(-10)*140\/(-42). Determine z(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2 - 82*d - 375. Give t(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in eleven tenths of a centimeter?\nAnswer: 11000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**2 + 514*l + 35046. Calculate a(-61).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + 2 + 3 - 2. Let v(o) = -4 - 3*o**2 - 6*o**3 + m*o**3 + 3*o + 2*o**3 + 0*o**3. Calculate v(-3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20 divided by 95\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -48, -4, -2 in increasing order.\nAnswer: -48, -5, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 + 13*v**2 + 10*v - 20. Let g be m(-12). Suppose i + 2*d + 8 = 0, i + 3*d + 16 - 5 = 0. Does 9 divide (-30)\/(1 - (i + g))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4\/7 (b) 0.1 (c) 0.2 (d) -3.23 (e) -230 (f) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -764 - -766. Which is the nearest to 2? (a) -2 (b) -0.3 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -29 + -8724311?\nAnswer: -872433a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -51.2 + 51.5. Let j be -17*1\/(-4) - 4. Which is the closest to i? (a) j (b) -0.2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44.92651 nanometers in kilometers?\nAnswer: 0.00000000004492651","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**2 - 168*x - 1605. Calculate o(-11).\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z + 4*v - 432, -2*z + 3*v + 224 = 7*v. Let x be 90 - (4 + 12 + -4). What is the highest common factor of z and x?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1628, 3264, 4900, 6536, 8172, 9808?\n\"Answer: 1636*q - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -90.07 + 0.07. Let x = i + 90.00041. What is x rounded to four decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 48 + -46. Let w be (-7 - -7) + 2*m\/6. What is the smallest value in -5, w, 4, 2\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*l = 3*l + 6*l. Let f(a) be the first derivative of -2\/7*a**2 + 1\/3*a**3 + 19 + l*a. Determine i, given that f(i) = 0.\nAnswer: 0, 4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 29509 and 98757642?\nAnswer: 1283","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1103217257?\nAnswer: 1103217257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1637334, 1637339, 1637348, 1637361, 1637378?\n\"Answer: 2*k**2 - k + 1637333","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 6*m = 0. Let n(h) = -2*h - 6. Let q be n(-4). Find the second derivative of m*o - q*o**2 + o + o wrt o.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*u = 63 - 35. What are the prime factors of ((-8)\/(-24) - u)*231?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**12\/(s**(-2\/7)\/s))**(-44)\/(((s\/s**(-2\/5))\/s**(-2\/9))\/((s\/s**(2\/3)*s)\/(s*s**(1\/11)\/s))) assuming s is positive.\nAnswer: s**(-2026856\/3465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + 889\/56 + -19 + 4. Let s = 1.4 - 1. Let v be (0\/((-4)\/(-2)))\/(-1). Which is the closest to v? (a) k (b) 0 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes after 8:57 PM?\nAnswer: 7:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 264 + 6?\nAnswer: 26a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -3*w - 2. Let z be k(3). Which is the biggest value? (a) -1\/4 (b) z (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2726 + 4639. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41267678743 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 o when two letters picked without replacement from {o: 3, y: 5}.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4409?\nAnswer: 4409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 138241, 276478, 414715, 552952, 691189?\nAnswer: 829426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 67741198?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 2*r = 55811, r + 19851 + 54562 = -4*s. What is s rounded to the nearest one hundred?\nAnswer: -18600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4472 and 16120?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 35.7, -1, -0.07 in descending order.\nAnswer: 35.7, 0, -0.07, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18 + -19.4. Let f = 47.8 + -47.3. What is the smallest value in f, 3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -979, -814, -647, -478, -307?\nAnswer: -134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -405 = -i + 4*u - 381, 0 = 7*i + 5*u - 36 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 + 3*y + 3. Suppose 7*h - 16 = 4*h - 2*n, 4*h - n - 14 = 0. Let t be s(h). Let m be (-24)\/(-28) - -2 - 2\/(-14). Sort m, -4, t.\nAnswer: -4, t, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3577 or -2716?\nAnswer: -2716","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1612, -2093, -2574?\n\"Answer: -481*r - 1131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -225 = q + 4*q. Suppose 0 = -308*r + 300*r + 464. Let c = r + q. What is the remainder when 35 is divided by c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeeeeeee. What is prob of sequence eee?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 330130110 (base 4) to base 12\nAnswer: bb330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -29.94 - 0.06. Let w = -30.4 - v. Let g = 0.2 + -0.3. Which is the nearest to -1? (a) w (b) g (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of 0*a + 0*a**3 - 41\/4*a**4 + 21*a**2 - 239. Find the second derivative of r(o) wrt o.\nAnswer: -246*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 963?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -7*o**3 - 6*o**2 - 164*o + 12. Let s(i) = -13*i**3 - 11*i**2 - 327*i + 22. Calculate -11*p(l) + 6*s(l).\nAnswer: -l**3 - 158*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -115 (base 6) to base 2\nAnswer: -101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -516.38538 rounded to zero decimal places?\nAnswer: -516","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -5, 21, 63, 121, 195, 285, 391?\n\"Answer: 8*y**2 + 2*y - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/26 - (-834)\/(-13). Let u = 89 + s. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**2)**(-10)*b**(-3\/4)*b**(1\/6))**20 assuming b is positive.\nAnswer: b**(-1235\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 10 = -2*l, 2*y - 10 = -2*l. Suppose 27 = -y*t + 4*s, 2*s + 12 = -5*t - 7. Put 0, -2, t in descending order.\nAnswer: 0, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 280499 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -53, 25, -5, 1 in decreasing order.\nAnswer: 25, 5, 1, -5, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + h = 34, -4*h + 6 = -2*p - 0. Let b be 6 + (1*(5 + -5) + 1)*-9. Is b at most as big as p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1970?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + 2)*(-3*h + 2 - 2) + (-161*h + 88*h + 46*h)*(-1 - 12 - 1) + (1 + 0 + 1)*(h + h - h) + 3*h + h - 3*h in the form x*h + q and give x.\nAnswer: 375","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -3, -194\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -0*b - 14. What is the common denominator of -91\/8 and -2 - ((-3)\/b)\/(-1)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 256205429?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/(-15) - 218595\/25. Let o = -5233 - g. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the third derivative of -7\/9*m**4 - 1\/360*m**5 - 784\/9*m**3 + 2*m**2 + 0 + 78*m. Determine q so that a(q) = 0.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + q)*(-7956 + 188*q + 7956) - q**2 + 5*q**2 - 3*q**2.\nAnswer: 189*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 46 = -2*n - f, n - 2*f = -16. Let j(h) = h**2 + 12*h + 7. Is j(n) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d + d - 3*d)*(677 - 346 + 6727*d - 331).\nAnswer: 13454*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -s**2 - 33680*s - 303039 = 0?\nAnswer: -33671, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + -d?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71.61771ml to litres.\nAnswer: 0.07161771","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((0\/19)\/((-2)\/(-2)))\/(-1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 305 and 7.\nAnswer: 2135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.209 + 0.309. Which is smaller: y or 62?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10594 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2822430 divided by 195?\nAnswer: 14474","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 167922?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3589 + -8069. Let w = -3117 - r. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.7299514018+3497.7\nAnswer: 3498.4299514018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 110 and 101299?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1068, -714, 4, 145 in ascending order.\nAnswer: -714, 4, 145, 1068","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 + 5*i**2 + 6*i**2 - 4*i**2 + 4*i**2 + (-i + 4*i - 4*i)*(-i + i + 2*i).\nAnswer: 9*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 45785657 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 218 + 21084790.\nAnswer: 21085008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3397*m**4 + 14301*m**2.\nAnswer: -81528*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1119594 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**3 - 3*c + 2. Suppose -z = 2*z - 6. Let p be h(z). What is the first derivative of a + 3 + 5*a + p*a - 4*a wrt a?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -942715*o**4 - 175920*o - 2.\nAnswer: -11312580*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**12*m*m**(-3\/22) assuming m is positive.\nAnswer: m**(283\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4\/(-6) - 0)\/(28\/(-1974)). What is the highest common divisor of s and 517?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13982 - -20266. Suppose 1158 = -11*t + l. List the prime factors of t.\nAnswer: 2, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1\/9, 2, 13, 5 in ascending order.\nAnswer: -3, 1\/9, 2, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -47*y - 48*y - 43*y - 49*y + 182*y. Let h(m) = -12*m**2 + 12. What is h(b(t))?\nAnswer: -300*t**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 316251825 and 825.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 15543.8 or 1\/3?\nAnswer: 15543.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -14909288942 minus 0?\nAnswer: -14909288942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8)\/(-6)*(-54)\/(-12). Suppose 0 = -0*s + y*s - 24. Solve 4 + s = 4*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 1 (b) -0.1 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 - 9*h - 1. What is the remainder when 25 is divided by l(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m\/m**(-4\/9)*m))\/((m\/(((m\/m**(2\/65))\/m)\/m))\/m)*(m*m**8*m*m)**31)**(-4\/5) assuming m is positive.\nAnswer: m**(-792148\/2925)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12.7 + -1.3. Let n = -12 + t. Let p = -2.1 - n. What is the third biggest value in p, 5, 0.1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 81 = -79. 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 y(z) = 7*z**2 - 4*z + 3. Let j(w) = -11*w**2 + 6*w - 4. Determine 5*j(l) + 8*y(l).\nAnswer: l**2 - 2*l + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 17779, 17785, 17801, 17833, 17887?\n\"Answer: d**3 - d**2 + 2*d + 17777","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15 + 1. Suppose 5*t = -4*y + 16, 12 = 5*y - 2*y. Suppose t = 2*n - 109 + 29. Calculate the greatest common factor of n and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-12)\/32)\/3)\/((-2)\/12)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -126 (base 11) in base 16?\nAnswer: -95","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 15) in base 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -558, -618, -760, -1020, -1434, -2038, -2868?\n\"Answer: -6*i**3 - 5*i**2 - 3*i - 544","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*f**3 - 32*f**3 + 34*f**3 + 4*f**3.\nAnswer: 8*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 65556020 + 3640704. Let g = -10899181 - o. Round g to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -16*n**3 - 4*n - 5. Let r be m(-1). Solve r*f = -d + 18*f + 2, 0 = -f for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 3006870684?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -67221\/16 or 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -0.1, 4, -9.\nAnswer: -9, -0.1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 3 - 1 - 4 + 4 + 7*l. What are the prime factors of q(4)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 1\/11 (b) 26 (c) 1\/2 (d) 2\/3 (e) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the third derivative of -s**6\/30 + 3*s**5\/20 + 73*s**4\/24 - 37*s**2. Find the second derivative of p(c) wrt c.\nAnswer: -24*c + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*h**3 + 11*h**2*r + r - 240 wrt h.\nAnswer: -6*h**2 + 22*h*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9\/620 + 1451\/6820. What is the common denominator of g and -25\/7102?\nAnswer: 78122","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-21)\/(-14)*98\/3. Suppose -3*z + 129 = 2*o, 5*z + o + c - 264 = 0. What are the prime factors of z?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1245*j + 1241*j = m + 18*m + 135, 2*j + 25 = -m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4485360?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 27, 2, 0.8 in ascending order.\nAnswer: 0.8, 2, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 12131301.3 rounded to the nearest 10000?\nAnswer: 12130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of -u**4\/30 - 10*u**3\/3 + 104*u**2\/5 - 3754*u. Solve d(h) = 0 for h.\nAnswer: -52, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -20, -17, -8, 7?\n\"Answer: 3*p**2 - 6*p - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 5*v + 6*g - 140, -2*g = -2*v + 48. Suppose 7*x - v = 9. Calculate the highest common divisor of 40 and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**2 + 3*x + 3. Let d be s(3). What is the tens digit of ((-411)\/9)\/(0 - 1\/d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 AM and 4:03 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.039 times 10.41\nAnswer: 0.40599","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7882322871 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 0.4 (b) 2\/13 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 155684, 311367, 467050, 622733?\n\"Answer: 155683*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tzb when three letters picked without replacement from {t: 4, e: 1, z: 1, y: 2, b: 1}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -44311, -88883, -133447, -178003, -222551, -267091?\n\"Answer: 4*w**2 - 44584*w + 269","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -89549 rounded to the nearest 1000?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 - 26*n**2 - 31*n + 13. What are the prime factors of w(28)?\nAnswer: 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 - 26*i**3 + 2 - 13*i**3.\nAnswer: -39*i**3 - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 - 28 - (-5 + -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 327 - 25. Let a = 332.4 - o. Let r = 41 - a. What is r rounded to zero decimal places?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -1 + 174464*c**2 - 174458*c**2 + 1. Let v(o) = -31*o**2. Determine v(x(g)).\nAnswer: -1116*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-19*i - 3*i + 3*i)*(-i**2 + i**2 - 3*i**2)*(-5 - 1 - 12) as h*i**2 + j*i + c*i**3 + a and give c.\nAnswer: -1026","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 21*j**2 + 1119*j + 1910. Determine b(-54).\nAnswer: 2720","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2788.1*-0.1\nAnswer: 278.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + 10675?\nAnswer: 10674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (84\/10)\/(2\/511430) + -1. Suppose -2*y - 3*w - 1431997 = 0, -8*w + 3*w + a = -3*y. Round y to the nearest ten thousand.\nAnswer: -720000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**2 - 2*o**2 + 3*o**2)*(-56 - 33 + 93)*(9 - 3 - 13).\nAnswer: 28*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-4*1*sqrt(2592)*3)\/(6*(sqrt(150) - (sqrt(150) + sqrt(150)*-1 + sqrt(150) - sqrt(150))*-4)))**2.\nAnswer: 1728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-10)*o**12*o*o**(-5)*o\/(o*o**5))**29 assuming o is positive.\nAnswer: o**(-203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6692 and 140.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 5*m**3 - 3*m**2 + 3*m - 1. Let f be v(1). Let w(o) = -6*o**3 - 3*o**2. Let a(l) = l**2. Calculate f*a(r) + w(r).\nAnswer: -6*r**3 + r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 3:30 AM?\nAnswer: 6:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*g**2 - 206024*g - 40248896 = 0. What is g?\nAnswer: -1702\/9, 5912","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**2. Let y = 32 - -37. Let x(p) = 5*p**2 - 69*p + y*p. Calculate m(x(o)).\nAnswer: -25*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2.2 in -16, 4\/5, -21?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4\/7*f**2 + 1\/7*f**5 + 1\/7*f - 2\/7*f**3 + 2\/7*f**4 + 2\/7 = 0. What is f?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -394*v - 223*v = 282*v - 29667 for v.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-18)\/(-84))\/((-18)\/1128). Is -12 > u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*j + 138 = 113*j. Let t(d) be the third derivative of 0*d + 0 - 30*d**j - 19\/24*d**4 - 31\/6*d**3. What is the derivative of t(o) wrt o?\nAnswer: -19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - 1.4. Suppose -4*p + 37*p + 5808 = 0. Let j be (-15 - p\/16) + 5\/2. Which is the fourth biggest value? (a) j (b) 0 (c) -0.1 (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of -4*h**6\/17 + 326*h**5\/85 - 2*h**4\/17 - 310*h**3\/17 - 206*h**2\/17 + 160*h\/17 - 3341. Suppose j(s) = 0. Calculate s.\nAnswer: -1, 1\/4, 2, 40\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate g*k**2 - 3*g*k - 11620684*g + 1232037*k**3 wrt k.\nAnswer: 2*g*k - 3*g + 3696111*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h = 2*h + 120. Let g(c) = c**3 - 2*c**2 - 5*c + 6. Let b be g(6). What is the highest common factor of b and h?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -4*s, -q = 3*q + s - 29. Calculate the remainder when 69 is divided by q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.44, 4549, -4\/5?\nAnswer: -0.44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 5 * -54\nAnswer: -270","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 55, 14, 956, -1, 4, -5 in descending order.\nAnswer: 956, 55, 14, 4, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -13067 (base 9) in base 3?\nAnswer: -110002021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1601.3 + -1603. Round f to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11663 and 21691?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 198, 430, 662, 894, 1126?\nAnswer: 1358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 89198.41 tonnes to nanograms.\nAnswer: 89198410000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 34 - 37. Let m be (-2 - 2*-2) + -2. Put f, -5, m in ascending order.\nAnswer: -5, f, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -33 + 35. Suppose c - a + 3826 = h*c, -a = 2*c - 7655. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v - 1. Let y(b) = 3*b + 3. Let n(j) = -5*l(j) - 2*y(j). Let k(c) = c - 2. Let t = 0 - 1. Calculate t*k(g) + n(g).\nAnswer: -2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/(6\/200))\/((-17)\/102). Let f = 208 + m. Solve -3*l - 5*u - 1 = -f, 5*l = -2*u + 18 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1114 is divided by (1 + 6\/(-4))\/(-4) - (-190)\/16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2*3\/((-30)\/(-25)). Solve 2*p = u, -10 + 0 = y*p - 5*u for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 2*w**2 - 1. Suppose -1 = -4*j + 7. Let h(v) = v**j - 1 + 0 - v - 2*v**2. Determine -h(b) - t(b).\nAnswer: -b**2 + b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 - g. Suppose a + 1 + 23 = 5*w, a + 5*w = 26. What is h(a)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 6*l - l - 19 = 0, 25 = 4*m - l. Let j be (-2)\/m - ((-245)\/15)\/7. Is j*((-986)\/(-12) - 10\/15) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -398 - -609. List the prime factors of h.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4561 = 4*h + 4573, 0 = -b + 3*h + 7 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(5 + 0 + (sqrt(224)*-3*4)\/(3*sqrt(343)))**2*-5.\nAnswer: -17370\/49 + 1600*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 139972836 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*c**4*k**3*n + 4*c**4*y + 3*c**3*n*y + 2*c**2*k**3*n*y - 2*c**2*k**2*n*y + 5*c**2*k**2*y + 2*c*k**3*n*y wrt c?\nAnswer: -48*c*k**3*n + 96*c*y + 18*n*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, 6, -6.\nAnswer: -6, -1, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 330 and 196790.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 980424069?\nAnswer: 3, 101, 3235723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the second derivative of 0*z**3 + 0*z**2 + 0 + 1\/6*z**4 - 1\/4*z**5 - 7\/30*z**6 + 2*z. Factor r(t).\nAnswer: -t**2*(t + 1)*(7*t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8 and 18810248?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3172 rounded to two dps?\nAnswer: -0.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 20.7 (b) -1\/3 (c) -5 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) 0.2 (c) 73 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r**2\/3 + 46962*r - 1654072083 = 0 for r.\nAnswer: 70443","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -7*v + 4 + 4*v + 2*v + 2. Let p be j(6). Suppose p = -g - 5*a - 3, -2*g - a - 3*a = 0. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -98*b**2*z**2 - 11*b**2*z + 3*b**2 + 12*b*z**2 - 330*z**2 - 128923 wrt z?\nAnswer: -196*b**2 + 24*b - 660","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 5*d**3 + 117*d**2 + 47*d + 18. Calculate n(-23).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -71 - -143. Suppose 3*o = 4*o - h. What is the highest common divisor of 8 and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 5 + 1 + 0 + 0 - 1 + 4 + 4 - 2 + (3 + 1 - 3)*(-5 + 3 + 4))*(-2 - 2*d + 2)*(d**2 - 3*d + 3*d).\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 619 is divided by 90.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.06 + 0.06. Sort -11, 4\/5, g in increasing order.\nAnswer: -11, g, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3421?\nAnswer: 11, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(5\/3)\/v)**(-2\/43) assuming v is positive.\nAnswer: v**(-4\/129)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 28, 3, -5, 15?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the first derivative of 11*l**3\/3 - l**2\/2 - 2*l + 17. Let v be g(-1). Let r = 2 - 2. Solve v = 2*t - r*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 2*x - 2*x - 3 + 5 + 45*x**2 + 2*x. Let k be z(-2). Suppose -2*f = -0*f - k. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14048 + -21628.\nAnswer: -7580","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lp when two letters picked without replacement from {o: 1, h: 2, q: 1, l: 1, n: 1, p: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11053*g + 5540*g + 21 + 77 + 5529*g to y*g + i and give i.\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 588967 (base 10) in base 13?\nAnswer: 178102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -2801*q + 19611. What is j(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 69244*a - 67962*a + 1 - 1 as f + m*a and give m.\nAnswer: 1282","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 59, 5, 1, -1.39, -5?\nAnswer: 59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 0*d + 4*d - 12, -2*a = -d - 6. Suppose -3*f = -a*g + 2*g - 4911, -1648 = -f + 4*g. Let z = f + 277. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, -1, -366, 2\/7, 2\/11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*z = -23297 - 23295. Let g = 4706 + z. What is the tens digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10582500 a multiple of 2075?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bqbsbwswbwqbthw. What is prob of sequence tb?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-1)*(-3)\/(-2). Suppose 3*m - 4 = -16. Let w = -10 - m. Is w at least p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 37*t**2 + 2*t**3 + 32*t**2 - 17 - 66*t**2 + 4 to p*t**2 + y*t**3 + w + o*t and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(243) + sqrt(243)*-1 + 0)**2 + (2 + sqrt(243))*4 - -6*(1 + 2*sqrt(243) - -2*sqrt(243)*-2)).\nAnswer: -72*sqrt(3) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, h: 1}. What is prob of sequence ah?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8 - ((-190)\/(-45) - 6\/27). Let d be (c - (-31)\/2)\/(1 - -2). Suppose -4*b + 4*r + 8 = 0, 7 = 2*r - 1. Which is greater: b or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the third derivative of -3*r**4\/4 + 2334*r**2. Let y(t) = 3*t - 22. Calculate a(y(m)).\nAnswer: -54*m + 396","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m + 2*m + m + (-3 + 5 + 1)*(-1 + 2*m + 1))*(11*m**2 - 5*m**2 - 3*m**2).\nAnswer: 21*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 313*j*n - 2*j*p**3 + 173*n - 3*p**3 wrt j?\nAnswer: 313*n - 2*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3073 a factor of 1538234702?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44836?\nAnswer: 2, 11, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -262 + 370. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 349576644 a multiple of 3244?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1833?\nAnswer: 3, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 41922668 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*y + 7 = 18*y, 0 = 3*d + 2*y + 14. Let s(p) = p - 2. Let r be s(2). Suppose -3*k + r = -d. Sort 5, 2, k, 4.\nAnswer: k, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*a + 7*a - 3*a + 3)*(2 - 2 - 1)*(-5*a**4 + 6*a**4 + 3*a**4).\nAnswer: 8*a**5 - 12*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-4)\/g)**(-39) assuming g is positive.\nAnswer: g**156","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7818629\/9 - 869691. Which is bigger: w or -955?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -21599 or -652?\nAnswer: -652","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -5*a**3 + 201*a**2 - 416*a + 7106. What is w(39)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3990138653 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 46 - 32. Solve 0 = -4*x - 2 - l for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 + 5*c**2 - 2*c - 6. Let l be k(-5). Let p be (236\/531 + (-2)\/(-9))\/(10\/15). Solve y + l = -p for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6306 - 3673. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -r**5 + 3884*r**2 + 36535*r wrt r?\nAnswer: -20*r**3 + 7768","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 160030?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f = 7*h + 213, -37860*f + 160 = -5*h - 37857*f for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -286 = -4*p - 70*n + 55*n - 227, 4*n - 32 = 3*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 781289785357 - -1.\nAnswer: 781289785358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -18.24 + -4\nAnswer: -22.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 3*s + 14 = -0*s, 2*p - 6 = -s. Let f be (3\/5)\/(2\/50). Suppose t = -3*q - p*t - 21, -5*t = q + f. Put 2, 0, q in increasing order.\nAnswer: q, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (235\/6)\/(8\/108). Let l = g + -14977\/28. Let i = 12433\/8 + -1549. What is the common denominator of i and l?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 236 + -52?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of -20*f**2 - 2*f + 3*f + 19*f**2 + 1 - 2*f. Determine c(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 6.577619m?\nAnswer: 6577619","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 + 9*t**2 + 11*t - 12. Let h be m(10). Let p be h + (8 + -2)\/(18\/4). Which is the closest to -1? (a) 1 (b) p (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-32)\/10 - (-2)\/10. Let w = 3 + s. Let o be (-42)\/(-77)*1\/3. Which is greater: w or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/17)\/(-1*1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101010100101000 + -1110111110?\nAnswer: -1101100011100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 20 = 8*l, 3*i - 4*l = 22. Let t(k) = i*k + 3*k + 9*k - 3*k. Let j(f) = -f**2 + 0*f**2 + 2*f**2. What is t(j(n))?\nAnswer: 11*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(475)*3 + 4)**2.\nAnswer: 120*sqrt(19) + 4291","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -46 + 103. Let r(n) = -n**2 - 26*n - 25. Let p be r(-24). Let t = m - p. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 19401*w - 32315 wrt w?\nAnswer: 19401","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3712.5 + -3712. What is the second smallest value in g, -4, 1.1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 434724, 434713, 434702?\nAnswer: 434691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-10 - -2 - (-2 - 0)) + 10\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes before 10:54 PM?\nAnswer: 8:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001702888254 rounded to five dps?\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(9)\/(sqrt(240)\/sqrt(5)))**2 - ((sqrt(147) + -1)*2)**2.\nAnswer: -9469\/16 + 56*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*m*p**3 + 1870*m*p**2 + 33*m*p - 3*p**4 + p**2 + p - 76 wrt p.\nAnswer: -12*m*p + 3740*m - 36*p**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/(-12) + -2 - 80\/(-15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 20 = 8*m + 5*u, 3*u - 18 = -5*m. Suppose -m*i + l = -0*i + 5, -10 = -2*i - 2*l. Solve i*t - 8 = -4*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l - l + 4*l)*(36417 - 36417 + 1611*l**2).\nAnswer: 3222*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((-1*sqrt(176)*-5 - sqrt(176))**2*3 - (((sqrt(176) + -1 - sqrt(176))*1 - sqrt(176)) + -4)) + -1.\nAnswer: -50719 - 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 2*t. Let v(h) = -5852*h. Let i(q) = q**2 + 27*q - 44. Let o be i(-19). Let w(a) = 90*a. Let p(z) = o*w(z) - 3*v(z). What is r(p(y))?\nAnswer: -168*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f\/f**(1\/3))**0\/(f**(-3\/7)\/(f*f**(1\/9))))\/((f**(-9)*f)\/(((f**(2\/31)\/f)\/f)\/f))**(-4) assuming f is positive.\nAnswer: f**(-36557\/1953)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5894317 and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (-7 - -3) + 4 + (159 - 118)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 730323 + -390269. Let x = 339918.99968 - a. Let c = 135 + x. What is c rounded to five dps?\nAnswer: -0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 11:26 PM?\nAnswer: 10:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.8 take away 0.216?\nAnswer: 6.584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 62 + -63. Is d at most as big as 9\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g = -0*g + 3*m, -2*m = 21*g - 25*g - 14 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/((6\/8)\/((-39)\/8))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -9*u + 6*u + 581, -2*g + 2*u = -294. Calculate the remainder when g is divided by 59.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 408928941?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -74480.02 + 74481. Let k be ((-8)\/100)\/((-1)\/5). What is the nearest to k in 5, 1, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -3715*u + 44587. Give q(12).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -29, -116, -265, -476?\n\"Answer: -31*v**2 + 6*v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3358585477 to the nearest integer?\nAnswer: 1498","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, 46216, -34?\nAnswer: 46216","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 7) to base 3\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1\/22 + 31\/286. Let w = -70 - -42.4. Let i = 28 + w. Which is the third smallest value? (a) h (b) 0.5 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**2 + 0*z**2 + 6*z**2 - 6*z**2. Let u(j) = 71*j**2 - 42*j**2 - 39*j**2. Calculate u(h(a)).\nAnswer: -10*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 941*0.4.\nAnswer: 376.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1438933679 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dkkkkekkdkkkkdkk. Give prob of sequence dkke.\nAnswer: 33\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -83797.46 to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -2*z - 668, -3348 = -7*q + 2*q + 2*z. What are the prime factors of q?\nAnswer: 2, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3*p + 3)*(12 - 37 + 1).\nAnswer: -72*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 2*v = -36. Which is smaller: v or -11?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 + 4. Let r be (3\/u)\/((-1)\/(-4)). Let z = r - -22. Is z a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o + 4. Determine y(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -16637 take away 63747082?\nAnswer: -63763719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -5 + (22 + 20 + -57 - -6).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one sixteenth of a week?\nAnswer: 37800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 - n + 1. Calculate s(4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 4 + 2 + 5 + -2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 58 = 2*v, g + 2*v = 2*g - 7. Let l be 2\/((-70)\/g + 4). Are l and -17 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 825 and 90?\nAnswer: 4950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1262, 10407, 35346, 83993, 164262, 284067, 451322, 673941?\n\"Answer: 1319*w**3 - 17*w**2 - 37*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1319, 2, -49 in descending order.\nAnswer: 1319, 4, 2, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:32 PM and 3:59 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -5620 divided by 2?\nAnswer: -2810","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2 - 5*r + 1. Let i be p(5). Let x = -27\/4 + 185\/28. Which is the smallest value? (a) i (b) x (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2 + 6*k + 7. Let a(o) = 4*o**3 + o**2 - o**3 - o - 2*o**3 - 6 + 0*o**3. Let c be a(0). What is the least common multiple of p(c) and 2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1834843\/7 - -262125. Suppose -288\/7 - 2\/7*r**4 - 176\/7*r**2 + 384\/7*r + d*r**3 = 0. What is r?\nAnswer: 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-40608)\/(-99) + (-3)\/(-33)*-2. Let d(z) = 19*z + 12. Let v be d(8). What is the greatest common factor of v and i?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) -0.5 (c) -15 (d) 0.41 (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5196 - 5196 + z.\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.9665080349 to 5 decimal places.\nAnswer: -0.96651","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 7:20 PM?\nAnswer: 1:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 s when three letters picked without replacement from {s: 5, c: 9}?\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -27 + 1256. Let y = 5771 + m. Round y to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 200 = 5*t, 5*b + 94 = 3*t - t. Suppose -4*h + 6 = -t. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 66*q + 256 + 291 + 113 for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3.7 - -0.3. Let z = -4.18 - -4.18. What is the closest to -1 in c, -2\/3, z?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.5 (b) 6 (c) 2 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, 16\/7, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 267*u - 17092. Determine g(64).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -2*h**2 - 1179*h - 173710. What is b(-290)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -3*m - 0*m, 2 = -3*a - 4*m. Let j(c) be the first derivative of -1\/2*c**4 + c + 2 + 0*c**3 + 0*c**a. Find the first derivative of j(y) wrt y.\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -32.2 - -32. Which is the second biggest value? (a) 0 (b) p (c) -0.23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -2*l**3 + 4*l - 3*l**3 + 0*l**2 + 3*l**2 - 3*l. Let z(k) = -k - k**2 + 0*k**3 + k**3 - 3*k**3 + 3*k**3. What is x(u) + 3*z(u)?\nAnswer: -2*u**3 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86843627.\nAnswer: 13, 53, 241, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s**3 + 28*s**2 + 36*s + 2. Let o be y(-12). Put -4, 4, o in decreasing order.\nAnswer: o, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a - 1. Let f(l) = -10*l + 12. Let i(v) = f(v) + 3*g(v). What is the derivative of i(o) wrt o?\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 4949*w - 18888. Calculate t(4).\nAnswer: 908","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/23704 and -1\/20741000.\nAnswer: 20741000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -11537, -23090, -34659, -46244, -57845, -69462, -81095?\n\"Answer: -8*q**2 - 11529*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v\/(v*v*v**(-4\/5)))\/v**(-2\/9))**36)**(-11\/4) assuming v is positive.\nAnswer: v**(-506\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l**2 + l**2 + 16*l**2 + (-l + 4*l - l)*(0 + 2*l + 0) - 2*l**2 + 3*l**2 + l**2 - l**2 - l**2 + 3*l**2.\nAnswer: 23*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 + 3*a - 2. Let k(z) = -1 + 2*z**2 - z**2 + z - z**3 - z**2. Let t(x) = 2*k(x) - q(x). What is the second derivative of t(m) wrt m?\nAnswer: -6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 27056 and 25042?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 112*o**4 - 2*o**3 - 15*o**2 + 49587*o wrt o?\nAnswer: 1344*o**2 - 12*o - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -197 - 1475*d**2 + 1478*d**2 - 39.\nAnswer: 3*d**2 - 236","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = 3*k - n - 3*n, 5*k - 3*n - 45 = 0. Suppose -l = k*l - 63. Suppose -l*d = -13*d. Solve d = -y - 0*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1436 is divided by 45.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -188 or -190?\nAnswer: -188","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3698780 divided by -739756?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 3*b - 3. Let d be s(4). Let m = -43\/228 - 7\/114. Is d less than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of -t**4\/4 - t**3\/3 + 5*t**2\/2 - 51. Let f be j(0). Solve f = -r + 3*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 27*m**3 + 1565*m**2 + 1502985.\nAnswer: 81*m**2 + 3130*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 9*(-4 + (-264)\/(-54)). Let v(n) = 26*n - 33. Let q(p) = 9*p - 11. Let s(u) = -17*q(u) + 6*v(u). What is s(b)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -161250 divided by -645?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-504)\/(-28))\/(-54)*(-3)\/(-4)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a litre in millilitres?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 176946?\nAnswer: 2, 3, 7, 11, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/9))**(-44)*(f\/(f**0\/f))**(2\/31) assuming f is positive.\nAnswer: f**(2764\/279)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gt when two letters picked without replacement from {t: 2, g: 2, z: 4, q: 1, p: 1}.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123654 is divided by 318.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2 + 20*j + 109. Let f be n(-9). Suppose -20*v + 30 = -f*v. Solve -10 = -u + v*u + 3*k, -4*u = -2*k - 12 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 + 11.1. Which is smaller: 0.2 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, m: 1, e: 4, u: 2}. What is prob of picking 2 u?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 2 = 3*o, -5*o + 3*q = -2*q - 45. Suppose 4*g = -4*k - 44, 0 = 3*k - g + 1 + 32. Let v = 23 + k. Calculate the lowest common multiple of o and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 + 40*q**2 + 86*q - 92. Let s be f(42). Let l = 8 - 4. Put 1, s, -4, l in descending order.\nAnswer: l, 1, -4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/95260 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oxoo when four letters picked without replacement from xoxooxxoxo.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**3\/(m\/m**6))\/(m\/(m\/(m**(-2\/5)*m)*m))**(-42) assuming m is positive.\nAnswer: m**(-44\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and 33.\nAnswer: 3.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nmqqmnmq. What is prob of sequence qmmm?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -2*y. Let r(o) = o**2 + 45*o. Determine d(r(v)).\nAnswer: -2*v**2 - 90*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 f when three letters picked without replacement from fffffccffcfcccfc.\nAnswer: 27\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3794518634 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*a + 72 = 8*a - 8*a. Solve -2 - 4 = a*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -4*l + 99, -3*l + 5*l + 132 = 4*b. Let w be (-7 + 2)\/5*4. What is the remainder when b is divided by -2*(-2 - (-26)\/w)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 13\/5 of a kilogram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 14*c**2 - 9*c**2 + 7*c + 5 - 6*c**2. Let y(g) = -2*g - 6. Let v be y(-6). What are the prime factors of u(v)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27 - 3*s + 20*s + 139.\nAnswer: 17*s + 112","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66344 (base 9) to base 2.\nAnswer: 1010101111110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 11:21 PM?\nAnswer: 8:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7100 to the power of 1\/2, to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-2)\/(-3) - (-20)\/6 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -61 - 414. What are the prime factors of q?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 4*t + 7. Let n(s) be the first derivative of 9*s**2\/2 + 15*s + 292. Calculate -13*h(p) + 6*n(p).\nAnswer: 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-60*k + 619 - 619)*(-12*k + 7*k + 3*k + 25*k**2).\nAnswer: -1500*k**3 + 120*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 + 367*n**2 + 1687*n + 64355. What is u(372)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*m = 34*m - 3*h + 24, 32 = 4*h. Which is smaller: m or -1\/12796?\nAnswer: -1\/12796","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jnjynjvjjjnj. Give prob of sequence jj.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange q**2 + 229*q**3 - 2 - 230*q**3 + q**4 + 0*q**2 - 2*q to f*q**2 + a*q + x*q**4 + c*q**3 + k and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1096640*a**2*t + 6264*a**2 + 20*a with respect to t.\nAnswer: 1096640*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 3*b**2 + 19*b + 54. Suppose 7 - 23 = -2*z. What is the lowest common multiple of z and w(-6)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*d + 14*d - 9*d.\nAnswer: -10*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 23357 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.1, -8, 7\/45, 2\/19.\nAnswer: -8, -0.1, 2\/19, 7\/45, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = g + 28. Suppose g*w = w. Suppose -2*c + 7*c - 305 = w. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 220790742 a multiple of 135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -26\/1339955 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 6*d + 3. Let n(a) = 31*a - 1115. Determine 5*m(g) - n(g).\nAnswer: -g + 1130","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2262\/5916 - (-1 - (-3)\/2). Which is greater: r or 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 AM and 11:24 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of -u**7\/105 - u**3\/6 + 3*u**2\/2 + 1. Let j(n) be the second derivative of z(n). Differentiate j(b) wrt b.\nAnswer: -8*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 1094 - 3454. Is 8 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 299279267 to the nearest integer?\nAnswer: 17300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2*m + 10. Let g(r) = -r - 10. Let q(v) = -v - 18. Let f be q(-15). Let w(s) = f*g(s) - 2*b(s). Determine w(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 46168, 46164, 46150, 46120, 46068, 45988, 45874?\nAnswer: 45720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkp when three letters picked without replacement from kkkkkkkpkkkp?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - -6bb384b?\nAnswer: 6bb3848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 + 11 = 4*j. Suppose 2 = 3*u - j. Suppose 12*p = -10*p + 440. Solve -d - u*d = p for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5753?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -236*b + 203*b - 114 = 84 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17 + -17. Suppose h = g + 3*g + 20. Let a(f) = -f**2 - 2*f + 3. Calculate a(g).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*o = 51*o + 581 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -17988*p**4 - 2*p**3 - 12*p**2 + 17987*p**4 + 232*p**2 - 8*p**2 - 2 + 3*p in the form o + b*p + v*p**2 + d*p**3 + r*p**4 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000006784765 to 6 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 36 - 40. Let n be 8\/6*18\/m. Let u(h) = h + 1. Let z(b) = -10*b - 8. Let c(s) = 3*u(s) + z(s). Let g(a) = 15*a + 11. What is n*g(t) - 13*c(t)?\nAnswer: t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 114 = 4*g, 2*m - 32 - 73 = -5*g. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/225 and 7\/31572.\nAnswer: 789300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20940 is divided by 56.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -2*q - 3*q**3 - q**3 + 2*q**3 - 5*q**4 + 10*q**3 - q**2 = 0.\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -115463697.6 to the nearest one million.\nAnswer: -115000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and -1.42.\nAnswer: -2.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67144?\nAnswer: 2, 7, 11, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -267167 from 27.9.\nAnswer: 267194.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -29 - -47. Let a(j) = 2*j**2 + 13*j - 2. Suppose 30*k = -400 + 100. What is the remainder when a(k) is divided by x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 45 + -37. Let x(h) = 3*h - 1. Let l be x(4). Suppose w = l - b. Solve -3*m + 5*y = w, -2*y - 3*y = 4*m + 4 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*l + 2*l + l - 3*l + l + 4*l + (1 - 1 + 1)*(2 + 3*l - 2).\nAnswer: 8*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*a + 53*a**2 - 40*a**2 - 10*a.\nAnswer: 13*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8\/20 - (-82)\/(-5). Let b = v - -37. Let l(n) = -2*n**2 + 63*n - 321. What is the remainder when l(24) is divided by b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + -7. Let d = j + 4.1. Suppose -30 = 4*m + 5*s, m + 2 + 1 = s. Which is the nearest to d? (a) 5 (b) -2 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5670*g**4*i**2 - 1900*g**2*i**2*j - 2132*g*i**2*j + 3*g*i**2 - g*j - 1381*i**2 + 3*i*j wrt g.\nAnswer: -68040*g**2*i**2 - 3800*i**2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -741124*a*u**4 + a - 11*u**4 - u**3 - 759821*u**2 wrt u?\nAnswer: -17786976*a*u - 264*u - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 1\/5058 (b) -1.04 (c) -9 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**2 + l**2 + 0*l**2)*(31 - 6*l + 4*l - l) + (-3 - 7*l**2 + 3)*(-6 - 3*l + 6).\nAnswer: 15*l**3 + 62*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 434004 - 3041?\nAnswer: 430523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + (-5*2*sqrt(684) - -1*sqrt(684)*4) - (-1 + -4 + 2*sqrt(684) + 0))*-5)**2.\nAnswer: -9600*sqrt(19) + 1094800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -2\/5, 2, -2\/17?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -27 - -24. Let g be (5\/5)\/z*-3*14. Calculate the greatest common divisor of g and 154.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o. Suppose m - 90*c = -85*c - 4, 2*m + 4*c = 6. Let d(b) = 7*b**2 - 4*b + 1. Determine m*d(a) - 6*p(a).\nAnswer: 7*a**2 + 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 - 7 = -4*z. Let r(b) = 13*b**3 - 5*b**2 - 5*b. Let g(p) = 20*p**3 - 8*p**2 - 8*p. Give z*r(y) - 5*g(y).\nAnswer: 4*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10\/26179 - 1122377\/8691428. Calculate the common denominator of i and 83\/12.\nAnswer: 996","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + 1 - (-43 - -2). Let k be 22\/8*(2 + b). Calculate the highest common factor of 11 and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 960.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -395, -0.4 in decreasing order.\nAnswer: 3, -0.4, -395","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3771\/7 or -538?\nAnswer: -538","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x - 2*x + 42. Calculate the least common multiple of 7 and x.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three fifths of a decade?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 30 - 26. Suppose -2*j = -q*j + 4. Suppose -j*d + 5*d = 99. What are the prime factors of d?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5737?\nAnswer: 5737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 less than -3?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*j - 4*j + 2*j + (-1 + 2 - 2)*(-j + 0*j + 0*j) + (4*j - 2*j - j)*(6 - 8 - 4).\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(-2)*2 + 3. Let i be j\/7*(-77)\/22. Let p(f) = -f**3 + f**2 + 2*f + 4. Is 2 a factor of p(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -16 + 176. Suppose -z = 2 + q. List the prime factors of 1\/(-3) + z\/(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17791\/8 - 2213. Let l = -37\/36 + -1421\/36. Calculate the common denominator of a and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.06*-8468907.\nAnswer: -508134.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5470?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18.66 + 11.66. Which is the nearest to 3\/7? (a) f (b) -2 (c) -5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (15\/(-6))\/((-2)\/4) + -2. Let k(v) = v**2 + 3*v + 9. Let m be k(-6). Suppose m = o - r. Does 10 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 131 + 29 = 5*a. Suppose 5*i + 8 - 28 = 0. Calculate the highest common factor of i and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11604260 greater than or equal to 11604262?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 109488918?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w - 11*w - 24 = 0. Let c(x) = x**3 + 8*x**2 - 8. What is c(w)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -0.4, -1\/5 in ascending order.\nAnswer: -0.4, -1\/5, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l + 376 = 4*l. Let c be (-2)\/(-7) + (-4156)\/42. Let n = l - c. Find the common denominator of n and -11\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*g*m - 278689*g - 19139*m wrt m.\nAnswer: -5*g - 19139","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xpx when three letters picked without replacement from xxxxpdxxxpxxxx.\nAnswer: 55\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -166*i + 4654. Determine l(28).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14013 is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/45, -77\/3, 7, 0.4.\nAnswer: -77\/3, -1\/45, 0.4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-14) + 21\/49?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 697483?\nAnswer: 1\/697483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73*b - 318 = 33*b. Let k(t) = 13*t + 7. What is k(b)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 - 4\/(-5) - 1. Let s = -44 + 43.7. Which is the smallest value? (a) s (b) w (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 - 18. Let s be (-1)\/h + (-175)\/(-20). Solve -2*y = y - s for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 - 16*l + 5. Let z be 18 + 8\/(-12)*3. Let f be i(z). Solve 4*n + 5*x = 2*x - 17, f*n + 20 = -5*x for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 462 and 294.\nAnswer: 3234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -6684766 rounded to the nearest 1000?\nAnswer: -6685000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*j - 44 = -2*o, 0 = -429*j + 426*j + o - 19 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 402 (base 6) to base 9.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18998 = 13*u - 957. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/2 in 4, -2\/3, 1\/2, -0.2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 659247 is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 62*k**2. Let d(s) = 24*s**2. Give q(d(t)).\nAnswer: 35712*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1679 is divided by 402.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*u**2 + 2*u**2 + u**2 + (-321 + 209 + 938)*(-2*u + 2*u - 5*u**2).\nAnswer: -4127*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 3*u + 8. Suppose r - 4*r = -9. Let a(z) = 6*z + 17. Let f(q) = r*a(q) - 7*v(q). Let k be f(-4). Solve g = 4*l - 0*l + 17, 0 = 2*l - g + k for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-10)\/6)\/(22\/(-66)). Let f be (20\/(-8))\/(1*v\/(-560)). What is the highest common factor of 70 and f?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 113200 - 2013301?\nAnswer: -1300101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*k - k**4 - 2563*k**3 + 5212*k**3 - 2506*k**3 + (2*k**2 - k**2 + k**2)*(k**2 + 0*k + 0*k).\nAnswer: k**4 + 143*k**3 + 3*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-17)\/9 - (-1272)\/(-5184)*24.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 4*n**2 + 3*n + 1. Let v(a) = -1 - 2019839*a - 2 - 11*a**2 + 2019831*a - a**3. Let q(o) = 9*o**3 + 1. Let x be q(-1). Give x*z(b) - 3*v(b).\nAnswer: 3*b**3 + b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 37\/39 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 338\/43 less than 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1421 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n - 2*n + 4*w - 16 = 0, w = -2*n + 4. Suppose -2*z + 8 = 11*m - 14*m, 2*z = 4*m + 12. Sort 2, z, n in decreasing order.\nAnswer: 2, n, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*m**6 + 21*m**3*s**2 + m**3*s - 2*m**2 + 4*m - s**2 wrt m.\nAnswer: 240*m**3 + 126*s**2 + 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18603?\nAnswer: 3, 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 67, -13, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 2 - 6*m**2 - 2 + 6*m - 1 - m**3 + 4*m**2. Let b be a(-5). Let f be 46\/4 - (-3)\/(-6). Calculate the greatest common divisor of b and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65*u - u + 3*u - 1.\nAnswer: 67*u - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 760593 to the power of 1\/3, to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 21369129 to the nearest integer?\nAnswer: 277","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b + 0*b - 751 + 1486 - 738.\nAnswer: 2*b - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 AM and 6:50 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 165783 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 379*i - 15*i = -231*i - 39865 for i.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -178839.7851 rounded to the nearest 1000?\nAnswer: -179000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1534*j**3*m**3 - 10*j**3*m**2*r - 96*j**3*m*r + 3*j**3*m - j*m**3*r - 2*j*m**2 + 2*m**3*r wrt m?\nAnswer: 9204*j**3 - 6*j*r + 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12, -59, -178, -405, -776, -1327, -2094?\nAnswer: -3113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16160 by -944.\nAnswer: -1010\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1265625, 2531135, 3796647, 5062161, 6327677?\n\"Answer: t**2 + 1265507*t + 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 28 = i + 7 for i.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -680 divided by 136?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2532.757 + -2532.5. Is d greater than 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 24689 + -24689. What is the closest to 0.2 in 4, w, 33\/56?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = 2*d + 14, 0 = 5*d - 0*d + 7*o + 17 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5842 a multiple of 201?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1564b6 (base 13) to base 5.\nAnswer: 113344410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -2*g**3 - 229*g**2 + 3669*g - 9279. Calculate y(-129).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2242 is divided by 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -4 (b) 16\/3 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (422*h**2 - 7782*h + 7782*h)*(2*h**3 - 3*h**3 - h**3) + 7*h**5 + h**5 - 3*h**5.\nAnswer: -839*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 623*z - 3445 + 2859 = 3775 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 4 = -16. Let w(v) = -v**2 - 9*v - 4. Let b be w(-8). Suppose 0 = b*h - 3*g - 9 - 5, 6 = n*h + g. Solve 7*o = h*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 154718671 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*d**2 + 0 + 4 - 6 + 6*d**2 to the form q*d**2 + a + p*d and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -2, 1, -17?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-3)\/(l\/(l**(3\/7)*l)*l))\/(l**(-1\/3)*l**(-2\/7))*(l**(-3)*l**3\/l*l)**(-6\/5) assuming l is positive.\nAnswer: l**(-62\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1413 + 133 = 97*c + 188. Solve 0 = c*f + 141 - 15 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 7, u: 3, f: 2, i: 8}. What is prob of picking 1 z, 1 u, and 1 f?\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 9. Let a(h) = -x - h + h - h. Suppose t + 2*t = 0. What is a(t)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9656 to the nearest 1000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3*(3 - (-28)\/(-12)). Let d(p) = -p - 8. Let x be d(-5). List the prime factors of (x - r)\/((-4)\/128).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.988683 rounded to 2 dps?\nAnswer: -4.99","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*h**4 + 24*h**3 - 312*h**2 + 480*h - 144.\nAnswer: 3*(h - 2)**2*(h + 6)*(5*h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65120*y**2 + 65125*y**2 - 130242*y**2.\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 + 16*h - 7. Let k be l(-17). Find the first derivative of k*y**2 - 8 - 6*y**2 - 4*y**2 - y**3 wrt y.\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-3) + 62\/(-66). Let p = 92\/55 + z. Let n(x) = -x + 1. Let q be n(0). Sort p, 5, q in ascending order.\nAnswer: p, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, -4, 5 in descending order.\nAnswer: 5, -4, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (24\/(-42))\/((-4)\/14) + 2468. Suppose -4*p + s = -3*g, -2*p = -2*g - 174 - 1060. Is 12 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 4*a - 71 = 0, 22*a = 3*i + 20*a - 59. What is the remainder when 91 is divided by i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14.88491, 2\/17, -9, 1\/5 in decreasing order.\nAnswer: 14.88491, 1\/5, 2\/17, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6b8 + 81bcb?\nAnswer: 825b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -79*i*s**6 - 13*i*s**4 + 3*i*s**3 - 221*i*s**2 - i + 217*s**2 wrt s?\nAnswer: -9480*i*s**3 - 312*i*s + 18*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (((-4)\/70)\/(2\/(-40)))\/2\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 526.6999994671 - 526.7. Round y to seven dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 15, -38, -127, -252?\n\"Answer: -18*o**2 + o + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(-8)\/(-24)*-1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + l - 24 = 0, -l = -4*a - 0*l + 16. Let w(h) = h**2 - 6*h + 4. Let j be w(a). Let z be ((-35)\/7 + 5)*(2 - 1). What is the closest to z in j, 5, 3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 4*y = -12. Let x(q) = -q**2 + 6*q + 5. Let b be x(6). Suppose -y*o - 4*a + 32 = 0, b*o + a - 39 = -3*a. What are the prime factors of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 69 - 32. Suppose b - s - 7 = -2*b, 3*b + 5*s = f. Suppose 8*v - b*v - 4*z - 36 = 0, v + z - 5 = 0. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the second derivative of -i**4\/2 - i**3\/6 + i - 26. Give j(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, 2\/9, -2\/9, 4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 399005 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -14*q**3 + 2*q**2 - 3*q + 3. Let p(h) = -29*h**3 + 5*h**2 - 7*h + 7. Let f(t) = -7*j(t) + 3*p(t). Let d(u) = 2*u + 3. Let v be d(-2). Give f(v).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1048 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 374842 is divided by 595.\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1838)\/4595 - ((-236)\/(-110) + -2)?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -11675*u**2 + 13*u + 2. Let m be a(-9). Let x = -6631320\/7 - m. Let n = x + 1536. Calculate the common denominator of n and 49\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 37.\nAnswer: -3\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 124445131 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 1 - 1)*(-7*i**3 + 8*i**3 - 13*i**3) as x + j*i + p*i**2 + c*i**3 and give c.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -16\/7 (b) -2\/3 (c) -2\/65\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 158393 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3480713 is divided by 80?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-3)*(-87)\/290?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 - 2*d**5 + (-2*d**2 + 3*d**2 - 3*d**2)*(-d**3 + 4*d**3 - 6*d**3) + d**2 - d**2 + 2*d**5.\nAnswer: 6*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 596.953 - 599. Let y = r + 1.078. What is y rounded to 2 dps?\nAnswer: -0.97","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/7, -1\/5, -10, -0.4, 0.568, -0.8?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 107.5387 rounded to zero decimal places?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-135)\/(-2))\/(-3)*-2. Let r = -25 + j. Calculate the smallest common multiple of 2 and r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of -3*i**7\/490 + i**6\/280 + i**5\/10 - i**4\/14 - 4*i**3\/7 + 12*i**2. Determine h so that p(h) = 0.\nAnswer: -2, -2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 140945 divided by -4.\nAnswer: -140945\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - 1.9. Let u = r - -1.3. Which is the second smallest value? (a) 1\/11 (b) 2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -3 (c) -4.2 (d) 4 (e) -22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 243261858 to the power of 1\/4, to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21625, -21685, -21747, -21811, -21877, -21945?\nAnswer: -22015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 87.9328 + 0.0672. Which is the nearest to 0? (a) 6\/5 (b) -3\/7 (c) h (d) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 611 + 5*a**2 - 611 + a**2.\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 7975859 to the power of 1\/3, to the nearest integer?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 740 is divided by 398.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6350207 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 - 5*v**2 - 17*v - 34. Is 61 a factor of w(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 - 56440491015914.\nAnswer: -56440491015910","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-23)*v*v*v)\/v)\/v**(-4\/11) assuming v is positive.\nAnswer: v**(-216\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2 + 2*a - 3. Let g be (4\/10)\/((-4)\/40). Let v be s(g). Suppose 5*o - 4*q = 123, -2*q = v*o - 0*q - 141. Is 9 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 + b**2 + 2*b + 1. Let k(m) = 4*m**3 - 12*m**2 + 14*m + 18. Let r(y) = -6*a(y) + k(y). Let q be r(-9). Let n(g) = g - 4. What is n(q)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 245.7 and -0.19173?\nAnswer: -47.108061","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 + i**2 - i - 8. Let v be m(0). Let x(f) = f**3 + 9*f**2 + 7*f - 5. Let h be x(v). Suppose 20 = 2*d + h*d. Solve 0 = -0*o - 4*o + d for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25136219 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -51748 at most -51776?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -237500 to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/14 + -3*2\/21. Solve 17*g - 23*g = d for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -3*c**2 + 0*c**2 - c**2. Let w(i) = 7*i - 13*i - 2*i + 6*i. Determine p(w(j)).\nAnswer: -16*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 2357 = 5*g, 0 = -14*g + 16*g + 2*s + 946. Let p = 549 + g. Calculate the highest common divisor of 585 and p.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-124)\/(-12) - 10)\/(2\/(-6)). Is u greater than or equal to 5\/64?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (27 - (5 + 17)) + -11\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -798 - -783. Is h at least as big as -16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/3*(13 - -2). Let c = k + -2. Let w(j) = -223*j**2 - 6*j - 15. Let z be w(c). What is z rounded to the nearest one thousand?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 7393 - -167?\nAnswer: 7560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 + 24*x**2 - 39*x - 66. Let u be q(-25). Solve -9*l + 80*l + u = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -27*g**3*p**3 + 100*g*p**3 - 85*p**3 + 3*p**2 - p wrt g?\nAnswer: -81*g**2*p**3 + 100*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-21 - -37) + 10 + -22\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 + -12.8. Let s = -1613\/46 + 726\/23. What is the nearest to s in l, 0, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from frermemmmemmmefmf. Give prob of picking 1 r and 1 m.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 11 (b) -1546 (c) 72 (d) -0.1 (e) -2 (f) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81417 is divided by 248?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 4*n = 6, -n + 125 = 144*p - 149*p. Is (p - -24)\/((-2)\/691) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13120 and 6018144.\nAnswer: 60181440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5.325 - 0.025. Let y = m + -5. Let t = -1 + 1. Which is the biggest value? (a) t (b) 0.2 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32142974 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 63190?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.01 to the nearest integer.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12093471?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 1\/4, 0.9, 2, 1\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 + 16. Let s = 130 - p. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**3)**(-2\/135))**39*(v\/(v*v\/(v\/(v*v*v\/(v**(-1)*v)*v))))**15\/(v\/((v*v**(1\/2)*v)\/v))**37 assuming v is positive.\nAnswer: v**(-1297\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express m**2 - 3*m**2 + 3*m**2 - 3*m**2 + 4*m**2 + 0*m**2 + (m + 2*m - 4*m)*(m + 2*m - 2*m)*(-1 + 3 + 0)*(-1 - 5 - 4) as t + d*m + z*m**2 and give z.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9955\/8 - 1246. Let h = 1\/8 + k. Which is bigger: 0 or h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 10 + 0 - -6?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 4*n = -4, n - 1 + 2 = -a. Solve 0 = 2*s - a*s + 2*u + 14, 5*s - 2*u = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7705 is divided by 1100.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the second derivative of -s**7\/21 + 7*s**6\/3 + 138*s**5\/5 + 368*s**4\/3 + 832*s**3\/3 + 336*s**2 - 602*s. Factor u(b).\nAnswer: -2*(b - 42)*(b + 1)*(b + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 14) to base 2.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 124582 by -2.\nAnswer: -62291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d**(3\/4)\/d)*d**(-2\/19))\/(d*d**(-1)*d*d*d\/d**(-3)))\/(d**(-4)*d\/(d*d*d**(-1\/5)*d))**36 assuming d is positive.\nAnswer: d**(77499\/380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3328407 and 8875752?\nAnswer: 26627256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.2 (b) -2\/15 (c) -2 (d) 0.1 (e) -0.3 (f) -1\/53\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(5\/4)*(u**(-4\/9)\/u)\/u assuming u is positive.\nAnswer: u**(-43\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 969 and 114?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24 - -27. Suppose -r*h + 453 = -0*h. What is the remainder when h is divided by 38?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*p = -45*p. Let k(u) = 2*u + 4. Let o be k(p). Let t(s) = -s - 8*s + o*s. Let r(m) = -6*m**2. Calculate t(r(c)).\nAnswer: 30*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -6*u - 2*p + 341, -2*u + 142 = -2*p. Calculate the remainder when 137 is divided by u.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100000 (base 2) to base 9\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 5*h + 20. Let c be b(-4). Suppose 6*a + 124 - 928 = c. What are the prime factors of a?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0004878914 to 4 decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.01 - -3.5. Let t = m + -0.09. Let f = 4 + -3. Do f and t have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -5*i + 43, 12 = 3*f - 3*i - 0*i. Let k(p) = 7*p**3 + p**2 + p + 1. Let m be k(-1). Let d = m + f. What is the greatest common divisor of 3 and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -907+141414385\nAnswer: 141413478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*y + 0*y - 2915*y**3 + 0*y - 9199*y**3.\nAnswer: -12114*y**3 - 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 66*q**2 + 73*q**2 + 304*q + 722 - 167*q**2 + 60*q**2 = 0.\nAnswer: -19\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*(-96)\/(-9)*33\/110?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**2 - 116*b.\nAnswer: -4*b*(b + 29)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4002 and 2259566?\nAnswer: 196582242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (-9 + (5 - 2) - (-7 - -4)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 5, -1, -13, 18 in decreasing order.\nAnswer: 18, 5, -1, -2, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 85 - 98 = 0. List the prime factors of y.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -163*g**3 + 8*g**2 - 3291*g wrt g.\nAnswer: -978*g + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -67*d + 66*d - 452 + 99 to the form a + y*d and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 761, 667, 589, 533, 505, 511?\nAnswer: 557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7084 is divided by 416?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 1 (b) -17 (c) 2 (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 238978688 is divided by 685.\nAnswer: 683","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 12776717 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.2 - 2.2. Let w = 1\/17 + -41\/119. Which is the third biggest value? (a) t (b) 3\/2 (c) 12 (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 142825 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0197141271 rounded to four decimal places?\nAnswer: -0.0197","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4 + 24\/(-18))*((-292)\/48 - -6). Which is the nearest to -1? (a) -0.1 (b) 1\/15 (c) x (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3\/(-4))\/(4 - 85\/20). Is 11 a factor of (-4596)\/(-15) - s\/(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-27)\/18)\/((-6)\/8). Suppose -m*a = 3*a - 2525. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1674 - -1676. Solve 6*m = m - f*l, -5*m - 20 = -2*l for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -309833, -619670, -929507, -1239344, -1549181?\nAnswer: -1859018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - s + 26956 = s + 26998, -54*s - 1466 = -2*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 4) to base 8\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + u - 18 = -0*u, -3*c + 4*u = 3. Suppose 3*o + c*t - 27 - 21 = 0, -3*o = 5*t - 50. Does 8 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 460*i - 950*i - 2033*i**2 + 490*i.\nAnswer: -2033*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10801891?\nAnswer: 29, 37, 10067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -46*h**3 - h**2 + h. Let x = -2 + 3. Find the common denominator of (-1 + -1)\/(12\/(-97)) and q(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -16*m - 4 - 40*m - 14*m + 72*m. Suppose 3*y = 4*y - 5. Calculate u(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + d + 19 = -3*h, d - 5*h - 26 = 0. Suppose -5*r = 5*n - 115, 27 + 40 = 3*r + 2*n. Find the second derivative of 17*t - r*t + 1 - d + 2*t**4 wrt t.\nAnswer: 24*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -146 (b) 75 (c) 140\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 153*d + 1149 + 677*d - 1147 to r*d + s and give r.\nAnswer: 830","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 50.65798902 rounded to two decimal places?\nAnswer: 50.66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 8 = 4*w, 10 = 4*a + 6*w - w for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y - 6. Let f be x(8). Suppose -90 = -5*z - c, -3*z - 2*z = -c - 90. What is the units digit of z\/f + 0\/(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 3240*y**2 - y - 5. Let o be k(-5). Round o to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.8 - -4. Let k = 30.5 - 30. Which is the smallest value? (a) -2 (b) k (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from hhmmhh.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12899.\nAnswer: 12899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*i + 379 - 181 - 16*i + 7*i - 199.\nAnswer: -2*i - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 26719*q - 6 + 1 + 26661*q.\nAnswer: -58*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-2\/13)*c**(2\/7) assuming c is positive.\nAnswer: c**(12\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j**3 - j**3 + 3*j**3)*(3 + 1 - 1) + 23*j**3 + 3 - 11 - 22*j**3 - j**3 - 1 + 1.\nAnswer: 6*j**3 - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -595219 divided by 7\nAnswer: -595219\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10757*n + 533 + 544 - 1077)*(-5 + 1 - 1).\nAnswer: -53785*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a**3\/5 - 26*a**2\/5 - 32*a\/5 + 56\/5 = 0. Calculate a.\nAnswer: -2, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228)\/(sqrt(16)\/sqrt(4)*1))\/(sqrt(27)\/(-2*sqrt(9)*4)).\nAnswer: -8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9873733 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -161 - 119 = 4*s. Suppose -3*o + 6*o - 12 = 0, -i + 4*o = 175. Let n = s - i. What is the tens digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -3. Suppose 2*w + 0 + 14 = 4*j, 5*j - 4 = -2*w. Let y(o) = -2*o**x + o**j - o**2. Let v(i) = -2*i**2. What is v(y(d))?\nAnswer: -8*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*y + 17*y = 866. Let t = y + -582. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1502173782.\nAnswer: 2, 3, 19, 43, 79, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 7883800157 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -2*y**3 - 684*y**2 + 34*y + 11633. Give x(-342).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-159)\/(-15) - (4 + (-88)\/20). Let s(y) = -y + 19. Let p be s(b). What is the tens digit of ((-620)\/p*-2)\/((-3)\/(-3))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6315.6378 - -0.6378. Let f = o - -6314.21959. Let k = f - -0.78. What is k rounded to 4 dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2322 is divided by 510?\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 295550 is divided by 62.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -3, 0.1, 7, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 6*t**2 + 25*t + 9. Let u be a(-9). What is the highest common factor of 990 and u?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 3*d**2. Let t(c) = 5 - 2 - 10*c - 3. What is h(t(g))?\nAnswer: 300*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3\/2 + 281*f**2\/2 - 4145*f\/2 - 4425\/2.\nAnswer: (f - 15)*(f + 1)*(f + 295)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 7*o - 3*p + 23, -51 = -5*o + 4*p. Let v(r) = -4*r**2 + 5*r - 5. Let b(q) = -6*q**2 + 8*q - 7. Calculate o*v(x) - 5*b(x).\nAnswer: 2*x**2 - 5*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*g + 0*g + 0*g + 4*g - 2*g - 3*g + (-2*g + 0 + 0)*(4 + 0 - 6) - 2 - 4*g + 2 in the form s + w*g and give w.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1587196?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -270 = -9*i - 0*i. Calculate the lowest common multiple of i and 11 + 17 + 1 + 1.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of v**7\/2100 - 7*v**6\/900 + 2*v**5\/75 + 2*v**4\/3 - 3*v. Let a(g) be the third derivative of k(g). Solve a(c) = 0 for c.\nAnswer: 2\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 - (6 + 19 + -79)) + -6?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 + 1 - 4)*(7 - 2 - 3)*(39758*l - 20109*l - 20346*l) to z + p*l and give p.\nAnswer: -2788","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*x + 13*x + 10, 0 = -r + 4*x + 37 + 5 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 + -616.\nAnswer: -616.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 202 > 202?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 932 - 932. Put 1, -0.4, -0.06, n, -2 in descending order.\nAnswer: 1, n, -0.06, -0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9187618 divided by 835238?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f + 14 - 42. Suppose -6*d + 4*d = a - 8, -2*d = -a. Suppose -d*y - y = -39. What is the remainder when y is divided by f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {r: 1, w: 9, j: 1, y: 5}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3138*a**2 + 513*a**2 - 742*a**2.\nAnswer: 2909*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(1400) + sqrt(1400))\/(sqrt(7) - (sqrt(343) + sqrt(343) + 4*sqrt(343) + sqrt(343) + sqrt(343))).\nAnswer: -8*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:09 PM and 3:11 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 282?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*p + 386*p + 135*p = -35032 for p.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 37.624 and 0.005.\nAnswer: 37.629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 18 = -5*s - 12, 3*h = -3*s - 42. Let x be (27\/(-48))\/(s\/12). Which is smaller: 1\/2 or x?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((5 + 0 + sqrt(68) - ((sqrt(68) + 0)*-4 + sqrt(68) - sqrt(68))) + 2 + 0 + 5 + sqrt(68))*6)**2.\nAnswer: 10368*sqrt(17) + 93312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 475, 503, 549, 613?\nAnswer: 695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (-1 - 0) + (13 - 10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 40 (c) 4 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 8*k**3 - 3*k**2 + 2. Let y(p) = p**3 - p**2. Calculate -d(m) + 2*y(m).\nAnswer: -6*m**3 + m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*(k\/(k*k\/k**(1\/4)))\/k)**(2\/103)*(k\/(k**(-1\/4)*k))**1)\/((k**(-2\/9))**(-5\/9))**(-16) assuming k is positive.\nAnswer: k**(73777\/33372)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1165109512?\nAnswer: 2, 7, 83, 439, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of -2*c**3\/3 + 2*c**2 - 6*c - 2. Let l(a) be the first derivative of t(a). Differentiate l(r) with respect to r.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kmbb when four letters picked without replacement from {b: 4, m: 6, k: 3}.\nAnswer: 9\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 at most 2\/269?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1753 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -32 - -42. Let w(n) = -5*n + 33. Let l be w(t). Suppose 5*j + 90 - 10 = 0. Which is smaller: j or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 7*b - 67. Let n(c) = 4*c - 6 - b - c + 19 - 3*c**2. Calculate n(3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, 10, -52.\nAnswer: -52, -5, 1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a micrometer in nanometers?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 430.9326 millennia in months?\nAnswer: 5171191.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3606 - -3888. Calculate the highest common factor of 6 and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 708644090 to the power of 1\/3, to the nearest integer?\nAnswer: 892","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 93, 386, 875, 1560, 2441, 3518?\n\"Answer: 98*t**2 - t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 + 5. Let p = -1 - -1.2. Which is the second smallest value? (a) p (b) f (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -125 + 200 + (-2 - (7 + (-8 - -4))).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and 4502486.\nAnswer: -18009944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -n - 4, 4*a - 5*n = -9. Let s be a\/((-2)\/(-3) - 1). Solve -s*l + 6 + 3 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + -853382?\nAnswer: -853377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*r**2 + 257878*r - 3554337?\nAnswer: -4*r + 257878","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 1:28 AM?\nAnswer: 9:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -111*j**2 + 5*j + 5. Let u(q) = 56*q**2 - 2*q - 2. Determine 2*k(x) + 5*u(x).\nAnswer: 58*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 231974 * 0.2.\nAnswer: 46394.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 plus 312069?\nAnswer: 312076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzwz when four letters picked without replacement from zzzwzzizwz?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 3*k**5 + 5407*k**4 - 567348*k**3 + 2565792*k**2 - 3628256*k + 1445520 = 0?\nAnswer: -1902, 2\/3, 2, 95","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -645*b - 15472. What is x(-24)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -131, -264, -397, -530, -663, -796?\nAnswer: -929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8 - (-10 + 10 + 1 + 1). Is (8\/(-3))\/(-4) - (-110)\/f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 - -6. Let w be (-1)\/((-2)\/(-4))*q. Calculate the remainder when w\/(-4) + 140\/8 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, o: 10}. What is prob of picking 3 o?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 5 (b) 45 (c) 11.665 (d) 1\/18 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 70537803 divided by 2139\nAnswer: 32977","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 + -9.8. Suppose -y = 2*y + 9. Let i = -6 - y. Which is the closest to 0.2? (a) i (b) -1\/6 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.971 + -5.271. Let g = -1.6 - -3. Let x = k + g. Round x to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppppccc. Give prob of picking 2 c.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -35 - -51. Let p = 16 - l. Suppose p = 2*v - 19 + 3. Calculate the lowest common multiple of 5 and v.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 8 = -4*n. Let k = n - -31. What is the remainder when 114 is divided by k?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the second derivative of c**2 + 1\/3*c**4 + 7*c + 0 + 0*c**3. Differentiate m(h) wrt h.\nAnswer: 8*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 248968, -2\/5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0007692807 to six dps.\nAnswer: -0.000769","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -11 - (-2)\/2*-3. Let f = d + 29. Calculate the remainder when f is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.449 - -0.649. Which is bigger: 744 or m?\nAnswer: 744","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3056360 (base 7) in base 9?\nAnswer: -618628","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 1:28 PM?\nAnswer: 10:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 40 + 3?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -33224*v**3 + 61371*v?\nAnswer: -199344*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 - (1 + 8 + 14)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*n = 23*n - 342 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - (5 + -4)) + -9?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttoottj. What is prob of picking 1 j and 1 o?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 + 294*h - 10. Let g(l) = -2*l**3 + 441*l - 16. Determine 5*g(m) - 8*o(m).\nAnswer: -2*m**3 - 147*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 10*h + 106. Let t be x(-9). Factor -30*i**2 - 11*i**4 - 7*i**4 + t*i**4 - 14*i**3 - 8 - 26*i.\nAnswer: -2*(i + 1)**3*(i + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o - 2*o + 3*o + (0 + 2 + 0)*(4*o + 3*o - 5*o))*(3*o**3 - o**3 - 3*o**3).\nAnswer: -3*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 + 14 = 9*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -33, -21, 5, 51, 123, 227, 369, 555?\n\"Answer: l**3 + l**2 + 2*l - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5230 or -5228?\nAnswer: -5230","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 2*v + 2 + 4 + 0. Let h be 4\/(-2) + 1 + 6. Let p(f) be the first derivative of -f**2 - 5*f + 40. Give h*p(y) + 4*z(y).\nAnswer: -2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 294\/1078*((-16)\/(-6))\/(-4)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:41 AM and 10:51 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 267 divide 767379?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2181 is divided by 727?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -0*y - 24. Suppose 2*l = -0 + 10. Calculate the remainder when y\/10*140\/(-8) is divided by l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4260 - 4264. What is the second biggest value in -1\/3, -2, -0.0989, 3\/5, r?\nAnswer: -0.0989","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 6770585 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 2*w + 474 = 0, -5*m + 4*w - 556 - 656 = 0. Calculate the remainder when (-42)\/8*m\/56*6 is divided by 34.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*w**3 - 2*w**3 - 13*w**3.\nAnswer: -18*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -2*n**2 + 6*n - 3. Let w(p) = p**3 + 10*p**2 - p - 8. Let g be w(-10). Let t be -36*(-3 + 5)\/g. Let z be -6*(-8)\/t*-3. Calculate b(z).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tet when three letters picked without replacement from etletelee?\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0\/(1 - -2))\/1. Suppose 0 = -4*c + 4*b - h + 4, c = 5*b - 3. Solve l + 3 = c*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-60) - (-386)\/(-30).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21479 - -21484.2. Let s = -12 + 15. Put 2\/3, c, -4, s in descending order.\nAnswer: c, s, 2\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8.5? (a) -2 (b) 3 (c) -3\/37 (d) 66 (e) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 66700303 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -34 + 22. Let r be 12\/42 - f\/7. Find the third derivative of -82*z**3 + 35*z**3 - 13*z**r + 33*z**3 wrt z.\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -2\/11, 2, -1\/2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 42.7 - 42.22. Let t = 0.02 + n. Which is the nearest to 1? (a) -11 (b) t (c) -4 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**7*u\/u**(-6))\/(u**(-9))**(1\/5) assuming u is positive.\nAnswer: u**(79\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.452 to one decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.19*-8.\nAnswer: 1.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 - 9 - 10)*(2*n + 2*n + 0*n)*(3*n + 2*n**2 - 3*n).\nAnswer: -56*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aazeazezznazznzzgna. Give prob of sequence enzz.\nAnswer: 7\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104) - -1*-3*sqrt(104))\/(sqrt(288)*6) - (sqrt(39) - (sqrt(3159) - -1*sqrt(3159) - sqrt(3159)))\/(sqrt(48)*-3).\nAnswer: -13*sqrt(13)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 + -25\/3. Which is the third biggest value? (a) r (b) -5 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -470, -471, -472, -473, -474?\nAnswer: -475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 171314 is divided by 52?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -545\/12 + 140\/3. Sort -2\/3, -0.4, f in descending order.\nAnswer: f, -0.4, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 + 6. Let t be 4\/v + 132\/28. Suppose -3*d - t*o + 40 = 0, 2*o - 7 + 2 = d. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1042, 1066, 1096, 1138, 1198, 1282?\nAnswer: 1396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, u: 8, j: 1, l: 6}. What is prob of sequence ulll?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aavvvv. What is prob of sequence avva?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 44 and 98527?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 865 = 4*s - 5*l, s + 428 = 3*s - 4*l. Suppose 3*g - s = -4*w + 222, -g + 164 = -2*w. Calculate the highest common factor of g and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/6*(-12)\/(-8). Let z(w) = -w**2 - w**3 + w + 7 + 7*w**s + 7*w. List the prime factors of z(7).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 4*u - 399 = -7*u, -5*v = -u - 1947. Let x be 2 + (-32)\/15 - (-52)\/v. Suppose x = i + 4*k + 2, 2*k + 3 = 1. Solve -12 = -d - i*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of -r**5\/12 + 55*r**4\/12 - 605*r**3\/6 + 9*r**2\/2 + 78. Let y(n) be the second derivative of m(n). Factor y(o).\nAnswer: -5*(o - 11)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3723640 divided by 372364\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*a - 3*a**2 - 573179733 + 573179733.\nAnswer: -3*a**2 - 18*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35, 73, 117, 167?\nAnswer: 223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/4)\/((1\/1)\/(-14))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:53 AM and 5:40 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - (4 - 9)) + (-3 - 1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**2 + 4*d + 1. Let h be x(3). Suppose 3*w - 2*q = 18, 0*w - h*q = 4*w - 44. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 i when two letters picked without replacement from {c: 15, i: 5}?\nAnswer: 15\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.85104 to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -31210*p**4 + 2903*p + 1 wrt p?\nAnswer: -374520*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -193\/3 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -13722470 divided by 20390\nAnswer: -673","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together 28302 and 6.\nAnswer: 28308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 4*n + n + 27 = 0, 2*t - 5*n - 32 = 0. Suppose -2*c + h + 3 = 0, -2*c - t = -5*h + 6. Solve c*m - 2*z - 20 = 0, -z + 5*z = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (29\/(-35) + 1)*-10. Which is smaller: -1 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 221 (c) 2\/24517\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xi when two letters picked without replacement from {i: 3, x: 9, d: 4}?\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -o**3\/6 + 29*o**2\/6 - 49*o\/2 + 69\/2 = 0.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 10 = -u. Suppose -2*l - 6042 = -u*g + l, 0 = l + 4. What is the common denominator of g\/120*2\/(-3) and 109\/18?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 o, and 1 p when three letters picked without replacement from {o: 7, p: 2, t: 2}.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 198 divide 275657142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 + 86*f**2 + 90*f + 298. Determine a(-85).\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 + 12*b**2 - 20*b + 26. Let v(f) = 8*f + 83. Let j be v(-12). Does 11 divide d(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10221211210 (base 3) to base 8.\nAnswer: -230101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2\/4 + 2383*c\/2 + 174973\/4.\nAnswer: (c + 37)*(c + 4729)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9991*c + 23359?\nAnswer: -9991","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 26419?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((-4 + (sqrt(300)*1*-6 - (-3 + 1 + sqrt(300))))*-4)**2 + 1.\nAnswer: 4480*sqrt(3) + 235267","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 88, 176, 264, 352?\n\"Answer: 88*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3096 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: Solve 2*n = -6*z + 4*z - 14, 3*z = -2*n - 18 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 2*h + 184. Let v(d) be the second derivative of d**6\/360 - 73*d**3\/6 - 3*d - 22. Let k(x) be the second derivative of v(x). Calculate w(k(j)).\nAnswer: 2*j**2 + 184","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*(z\/z**(4\/9))\/z*z*z\/(z*z*z**9))\/(z\/((z*(z*z**2\/z)\/z)\/z)*z*z*z**6) assuming z is positive.\nAnswer: z**(-148\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-20)*4\/1.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 3*d - 185, 4*m - 77 = 4*d - 261. Put 1, 5, 2, 18, m in descending order.\nAnswer: 18, 5, 2, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*o - 3*j + 9, -5*o + 3*j - 2 = -9 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from jrrrjrrrrj.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 97288\nAnswer: -1\/97288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 5*o + 112 = 42, -x = 2*o - 12. Let v(d) = 1 + 9 - x*d + 2. Let q be v(5). Do q and -68 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 376a0 + -595?\nAnswer: 37107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 197 is divided by 68?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*z + 2*z + 2*z)*(3*z + 0*z + z) + (-z + 5*z - 5*z)*(2 + 2*z - 2) in the form q*z**2 + h + u*z and give q.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4.7 + 4.4. Let x = -5.4 - -0.4. Which is the third biggest value? (a) l (b) 4 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(5 + (sqrt(204)\/sqrt(4)*-1)\/(sqrt(192)\/sqrt(4))).\nAnswer: -sqrt(17)\/4 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 596?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1492*c - 5*l + 43 = 1495*c, -9 = c - 3*l for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 q when three letters picked without replacement from {q: 7, p: 2, j: 3}?\nAnswer: 21\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vwvwtitvvvlvvtt. Give prob of sequence lt.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {g: 3, d: 1}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*y**3 - 409151*y + 409151*y.\nAnswer: -4*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 15 + 21 = 0, x + 5 = -2*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**5 - 32276*g**4 - 96846*g**3.\nAnswer: 2*g**3*(g - 16141)*(g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9567 - 9546. Solve -3*f = 3*y - 9, w*y - 23*y = 5*f - 15 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 197*c + 3. Let k be l(3). Suppose 3*g = 3*x + 687, -5*g + 14*x = 10*x - 1142. Let a = g + k. What is a rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 + d**2 - 1. Let w(f) = -2*f**3 + 7*f**2 - 7. Suppose -3*i - 52 = 2*j, -4*i - 4*j = 33 + 43. Calculate i*o(v) + 2*w(v).\nAnswer: -18*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 22291 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 62\/291 and 49\/8.\nAnswer: 2328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -28.7 + 31.7. Which is the biggest value? (a) 3\/2 (b) -2\/3 (c) -2 (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1441*y - 1 - 13 + 1433*y + 19.\nAnswer: -8*y + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 153, 64 in decreasing order.\nAnswer: 153, 64, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 33842292703 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*m**2 - 4*m**2 - 2*m**2)*(-m**2 + m**2 - 5*m**3) + 87*m**3 + 4*m**5 - 87*m**3 - 2*m**5 - 4*m**5 + 2*m**5.\nAnswer: 5*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 5*o + 162. Let q be l(-30). Let v(t) = 94*t + 53. Is v(q) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 514075676 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10108*o - 9794*o + 19904*o - 3.\nAnswer: 2*o - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3097466 is divided by 16049.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -5, -14\/15, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of -6*t**3 - t**2\/2 + t - 42. Let k be g(1). Let h(v) = -v**2 - 22*v - 15. Does 26 divide h(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -283 + 289. Solve -x*o = -11*o + 10 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -160132 (base 9) in base 14?\nAnswer: -27c97","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 63 and 12861.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/179 and 32\/434459?\nAnswer: 77768161","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1917*y - 12965*y - 1215280 = 0 for y.\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19 + -14. Let n = 3 - 6. Let m = -2\/87 + -160\/609. Sort m, n, q in increasing order.\nAnswer: n, m, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**2 + 2*p**2 + 4*p**2)*(-14*p + 71*p - 6*p + 38*p).\nAnswer: 445*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 not equal to 63?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 806474488 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 81\/920 and -67\/1104?\nAnswer: 5520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*a**4*x + a**3 + 11*a**2*x**3 + 8*a*x**2 + 2*a + 6*x**3 wrt a.\nAnswer: -24*a**2*x + 6*a + 22*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1167\/(-1945) - 2083\/(-5). Solve 2*o - u + 410 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -4*b**2 + 58*b + 11. Let k(w) = 11*w**2 - 175*w - 33. Let i(h) = 17*c(h) + 6*k(h). Let v be i(-31). Calculate the highest common divisor of 3 and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20260420 a multiple of 509?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 272\/936 - 4\/9.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5390, 40, 33 in descending order.\nAnswer: 40, 33, 0, -5390","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4258997 and 3.\nAnswer: 4259000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 7 + -1 + -7.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(-1\/7)*m)\/m)\/m*m\/(m**(-2\/9)*m)*m)**10\/((m**0\/m)**(-39)\/(m**(-2\/5)\/m**(-5))) assuming m is positive.\nAnswer: m**(-10586\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -98.07 - -97. Let j = 0.32 + r. What is j rounded to 1 decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 - 5*k**2 - 5*k + 3. Suppose 4*z + 0*z + 14 = -3*b, 5*z - 3*b = -31. Let t be s(z). Solve -7 = -7*u - t for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5041 + 5041. Sort -2, n, -78.\nAnswer: -78, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 751334.\nAnswer: 2, 375667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 916 at least 1002?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 12) to base 6.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppzlfpr. Give prob of picking 1 z and 2 p.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 AM and 11:16 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does -55\/21 = 907?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.055 + -148253?\nAnswer: -148253.055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/((-4400)\/(-132)))\/(21\/(-280)*-5)?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 98? (a) 4 (b) 9\/7 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oktkktdktto. Give prob of picking 2 t and 2 k.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 877 and 11187889.\nAnswer: 877","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*k - 2 + 2 + (-3*k + 2*k - k)*(-5 + 4 - 1) + 0*k - 2*k + 0*k + 4*k - k + k + 2 + 2*k - 2 to the form y + v*k and give v.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o**2\/5 - 8958876*o\/5 + 6688454931948\/5 = 0. What is o?\nAnswer: 1493146","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in 0.2, 0.57, 5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 + 15. Let r = -5 + x. Let c = r + 0.914. Round c to 2 dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 + m - 1. Suppose 0*p + 1 = p. Let c(y) = -6*y**2 - 10*y + 6. Let l(s) = p*c(s) + 8*w(s). Let a be l(2). Solve 0 = -a*d - 0*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.057 (b) -8\/3 (c) 1252 (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1676.9242 - -1669.713849. Let i = -7.21 - t. What is i rounded to four dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 4*l**3 - 18*l + 19. Determine v(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 7 (b) -4 (c) -0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b - -22?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 117659.9924177 - 117660. Round a to three dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.127549 days to microseconds.\nAnswer: 529420233600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1189.225 plus 0.59?\nAnswer: 1189.815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of -u**4 - u**3 + 2*u**2 + 2. Let j be z(-5). Let p = j - 695. What is p rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12*j**2 + 4*j**2 - 2*j**3 - 3*j**2 wrt j?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 519662?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -6*h + 13. Let n(z) = z - 2. Let u(v) = -39*n(v) - 6*o(v). Let d(b) = -13*b - 11*b + 22*b. Give u(d(a)).\nAnswer: 6*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (49\/((-3528)\/(-288)))\/7\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/256360 and -107\/128180.\nAnswer: 256360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.22 + 10.22. What is the third biggest value in z, 1, 1\/2, -6?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6295847*0.1.\nAnswer: 629584.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2)*m*(m**(1\/5)\/m)\/m)**6*(m**(2\/3)\/(m\/(m**(-2\/13)*m)))**27 assuming m is positive.\nAnswer: m**(-192\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 7. Let s(n) = -n - 1. Let g(z) = -c(z) - s(z). Suppose 66*o - 102 = 49*o. Calculate g(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 3*r**2 - 134*r - 2326. What is g(58)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(33)\/sqrt(99) - (sqrt(3) + -3 + sqrt(12)\/sqrt(4))**2).\nAnswer: -126 + 74*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 d when three letters picked without replacement from eadaeeede.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*w**2 + 21 - 21 + 12*w.\nAnswer: -25*w**2 + 12*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2 + 6*x + 6. Let l be y(-4). Let v = -3 + l. Let o = 5 + v. Solve o = 3*u - 0 - 9 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 711\/(-33)*4\/21. Let y = -75\/154 + b. Calculate the common denominator of y and 185\/(-90) - 2\/3.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9901\/24 + -1202\/3. Let t = 9371\/152 + -1036\/19. Find the common denominator of t and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-18)\/8)\/((-6)\/8). Let u(j) be the first derivative of -1\/2*j**2 + j - 2. Determine u(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/4 + (-114)\/(-24) + -3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.1 - 0.1. What is the closest to c in -0.2, 127, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-420)\/(-441)*4*36\/96. Solve 0 - l*h**2 + 1\/7*h**3 + 25\/7*h = 0.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 12.633721 to the nearest integer.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 5, d: 8}. Give prob of sequence gggd.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f**2 - 71*f**3 - 4*f**2 + 26*f**3 - 56*f**3.\nAnswer: -101*f**3 - 6*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -92 - -103. Let t(v) = -8*v + f*v - 4*v - 8*v - 4. Let g(u) be the first derivative of -3*u**2 - 3*u + 4. Determine -7*g(h) + 5*t(h).\nAnswer: -3*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 434106349 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 45*x - 57. Is u(9) a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2326*n**2 + 2691*n**2 - 469*n**2 as w*n + q + r*n**2 and give r.\nAnswer: 4548","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m - 3. Let b be c(6). Let u(q) = 7*q**2 + 6 - 13*q**b + 4 + 12*q**3. Let z be u(7). What is the greatest common factor of z and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 80*g**5 + 918*g**4 - 2804*g**3\/5 - 74346*g**2\/5 + 125488*g\/5 - 2904 = 0. Calculate g.\nAnswer: -10, -6, 1\/8, 11\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j. Let r(y) = 2*y + 11. Let w(l) = 3*n(l) - r(l). Let s = -219 - -212. Is 12 a factor of w(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 7\/5 of a kilogram?\nAnswer: 1400","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 16*y**4 - 3*y**3 + 6*y - 3. Let q(o) = -32*o**4 + 7*o**3 - 11*o + 7. Let l(f) = 7*p(f) + 3*q(f). What is the second derivative of l(j) wrt j?\nAnswer: 192*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 184 in -37869, 0, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13 - -36 - 39) + 39?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2868.57 millimeters in kilometers?\nAnswer: 0.00286857","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.5 - 1. Let f = -1.57 + x. Sort 1\/8, -2, f.\nAnswer: -2, f, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 0*w + w + 8*w + w**2 - 6*w**3 - 2*w. Let q(i) = -10*i**2 + 2*i + 1. Let l be q(-1). Let y = 6 + l. Let z(g) = g**3 - g. Determine y*z(o) - h(o).\nAnswer: o**3 - o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p = -20*p + 12296. Let f = p - 358. Calculate the greatest common factor of f and 231.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1242, 5, 1 in descending order.\nAnswer: 1242, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 13\/4 of a tonne?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/12 and 71\/35239308.\nAnswer: 35239308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1302?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llhhlvl. What is prob of sequence hv?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 4*n**2 - 2*n + 3. Let w be i(1). Suppose 0 = 5*l - w*u - 840, -6*l - 870 = -11*l - 5*u. What are the prime factors of l?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.4 + -1. Let m = 2.3 + 8.7. Let y = 11.5 - m. Sort y, v, 2 in decreasing order.\nAnswer: 2, y, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -242 - -242.3. Which is the fourth smallest value? (a) 1\/3 (b) g (c) 0 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j. Let v(b) = b. Let l(n) = -6*v(n) - 7*w(n). Let q be l(6). Calculate the highest common divisor of 2 and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n + 3*n - 3*n)*(5 - 3*n - 3 + n)*(-21*n - 10*n**2 + 21*n).\nAnswer: -40*n**4 + 40*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = c - i - 6, 5*i - 8022 + 8030 = -17*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 2*d = 3*r - 6728, 0 = -3*d + 15. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17210, 34473, 51786, 69149, 86562, 104025?\nAnswer: 121538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -4*h**2 + 1. Let v(x) = 4*x**2 - 3*x - 6. Let a(b) = -3*g(b) - v(b). Let r(p) = 15*p**2 + 7*p + 7. Calculate 14*a(u) - 6*r(u).\nAnswer: 22*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 11*x**2 + 11*x + 11. Let p(i) = 5*i**2 + 6*i + 6. Let a(m) = m**2 - 2*m - 29. Let b be a(7). Determine b*r(f) - 11*p(f).\nAnswer: 11*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6504, 25800, 57968, 103014, 160944, 231764, 315480, 412098?\nAnswer: 521624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.2 - -0.51. Let q = -0.2 - f. What is q rounded to one decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -40*j - 152*j**5 + 40*j + j**5 - 4*j**5 + 4*j**5 + (-3*j**3 + j**3 + 0*j**3)*(6*j**2 - 5*j**2 - 3*j**2).\nAnswer: -147*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-12)\/78 - (-67)\/13. Suppose -5*n = 4*v - 2*n - 27, 0 = -f*n + 25. What is the first derivative of v*g - 7*g + 2 + 2 wrt g?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10212031322 (base 4) to base 16\nAnswer: -12637a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 1651 divide 714467871?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 109*x + 7. Let l(h) = 217*h + 13. Determine 3*l(g) - 5*t(g).\nAnswer: 106*g + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 35 = -3*k, -4*k + 17 = r - 33. Let n(m) = -19*m**2 + 4*m**2 + k*m**2. Let a(q) = 1 - 1 - 3*q. Calculate a(n(l)).\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 0, 3*i = -i - 4*f + 8. Suppose i*t = v, v + 6*t - 6 = 2*t. Suppose -3*z = -5*o - 68 - 14, 0 = -z + v*o + 28. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -23 and -147.03.\nAnswer: 3381.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 343, 345, 357, 385, 435, 513?\nAnswer: 625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 13*i**3 - 13*i**2 + 4*i + 8. Let v(d) = -11*d**3 + 12*d**2 - 4*d - 7. Let r(a) = -5*g(a) - 6*v(a). Determine r(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 2*v**2 + v + 2. Calculate i(-3).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -15*l + 129. Let n be p(8). Solve n*r = -28 - 35 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 518952 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -14*d**3 + d**2 - 7*d + 8. Let w = 141 - 148. Let l(c) = -13*c**3 + c**2 - 6*c + 7. Calculate w*l(q) + 6*a(q).\nAnswer: 7*q**3 - q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1527865822 to five dps.\nAnswer: -0.15279","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/4*(-4374)\/11. Let c = v - -199. Is c > 0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(4\/7)*m\/((m*m**(-2))\/m))\/(((m*m**(-1))\/m)\/m)**(-4\/15) assuming m is positive.\nAnswer: m**(319\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-81*d**2 + 113*d**2 - 82*d**2)*(-d - 7*d - 3 + 4*d) + 0*d**3 - 2*d**3 + 5*d**3.\nAnswer: 203*d**3 + 150*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/1 + 32)*-1. Let s be (1 - 1)*17\/a. Suppose -2*x + 8*x - 216 = s. Is 9 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.3 take away 2295260?\nAnswer: -2295252.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.08 - 0.38. Let j = 0.28702 + 0.01298. Which is the nearest to -79? (a) v (b) j (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.004686477938 to five dps.\nAnswer: -0.00469","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19 and 341259?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.3 to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 4331.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + -5. Let x(a) = -3*a**2 - 3*a + 2. Let y(m) = -m**2 - 1. Let l(f) = w*y(f) + x(f). Let i be l(-4). Let k(r) = r**3 + r**2 - r - 6. Determine k(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*9\/(396\/(-880))?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 68291.87 years to millennia.\nAnswer: 68.29187","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that l**3\/9 - 5864465*l**2\/9 + 11728927*l\/9 - 651607 = 0.\nAnswer: 1, 5864463","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -4\/5*a**2 + 8\/5*a**3 + 2\/5*a**5 - 2*a - 4\/5 + 8\/5*a**4 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-3) + (-96)\/(-72). Suppose 4*z = u, 2*z = -2*k - k. Solve j - 4*j = k for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(175) + -3 + sqrt(77)\/(sqrt(55)\/sqrt(5) + sqrt(11)))**2.\nAnswer: -33*sqrt(7) + 883\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x + 34. Suppose 5*h = 5*t + 90, -4*h = -178*t + 182*t - 80. What is g(h)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(300) - (2*sqrt(300) + 4)) + sqrt(300) + sqrt(300) + -1 + sqrt(300) + 3 + -2*(2 + sqrt(300)))**2.\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 41424491 to the nearest integer?\nAnswer: 6436","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(1008) + 1))**2*-4.\nAnswer: -64576 - 1536*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 36 and 474?\nAnswer: 2844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 4*k - 40 + 48, 3*w - 89 = -k. Solve 22 = -w*j + 6*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.02 (b) 8 (c) -5 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eleven quarters of a year?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in twenty-nine halves of a kilometer?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 + -9. Suppose f*x - 6 = 12. Calculate the highest common divisor of 45 and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of -v**4 + 0*v**3 + 0*v - 3 + 1\/2*v**2. What is the second derivative of w(b) wrt b?\nAnswer: -24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-146)\/28 + 0 + 1 and 621\/90*(-2)\/(-15 + 3).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62354.\nAnswer: 2, 31177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -15*x**5 - 6294*x**4 + 79740*x**3 - 264168*x**2 + 93312*x = 0. Calculate x.\nAnswer: -432, 0, 2\/5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1388 + 2016. Let t(f) = -b*f**2 + 702*f**2 - 2 + 1286*f**2 + 7*f. Let k be t(6). Round k to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k - 417 + 2 + 3556 + 4152.\nAnswer: -2*k + 7293","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the third derivative of z**6\/360 - 2*z**3\/3 + 10*z**2. Let i(v) be the first derivative of c(v). Let n(h) = 5*h. Determine n(i(r)).\nAnswer: 5*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 2*p = 3. Let g be p - (1 + -1) - -4. Suppose 34*j + 33*j - 8*j = 295. Solve 3*i - 2*f = -f - 5, j*i - 5*f = g for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.1 (b) 2 (c) 16022 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 3*q**3 + 156*q**2 + 115*q - 1972. Give u(-51).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 18.76, 22, 11.\nAnswer: 1\/2, 11, 18.76, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 0*r + 5*i + 9, -4*r + 3*i + 79 = 0. Suppose -3*b + 4*s = -32, b - r = 4*s - 0*s. Suppose b*q - 12 = 6*q. Solve -2*z = -q*z - 4 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -3*k - 42, k - 14 + 32 = -d. List the prime factors of ((-12)\/k)\/((-3)\/(-180)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -139158, -139186, -139238, -139320, -139438, -139598, -139806?\nAnswer: -140068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*t + 17*t = 12 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 4*n - 13. Let q(j) = -4*j**2 + 0*j + 2*j**n + 3*j + j**3. Is q(2) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.02 + 0.01. Let y = j - -0.22. Round y to 1 decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 5 + 5. Solve 0 = j + 2*l + 3, n*l + 7 = -j - 2*l for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3286423040 rounded to the nearest 1000000?\nAnswer: 3286000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 1)*(-r + 38 + 16 - 22).\nAnswer: -r + 32","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25749 is divided by 1430?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(3\/5))**(-41) assuming i is positive.\nAnswer: i**(-123\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = 4*u + 8, -109*u + 104*u = 2*j + 13 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3009 is divided by 236.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8456 and 1208.\nAnswer: 8456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -g*y**2*z**2 - g*y*z**2 + g*y*z - 2*g*z**3 + 7*y**2*z**3 + 2*y**2*z**2 wrt y?\nAnswer: -2*g*z**2 + 14*z**3 + 4*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 111358?\nAnswer: 2, 13, 4283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/224724 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*m + 46 + 90. Let j be (1\/4)\/((-4)\/(-48)). Suppose -j*r + 58 = 1. Which is bigger: r or m?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/8 + (-22)\/(-8). Let j = -7.5012 - -0.0012. Let m = 7.2 + j. What is the nearest to -0.1 in m, o, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-2) + 0 + 2966. Suppose -4*b + 2387 = 5*p, -r + 562 = -5*p + 5*b. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6724 divided by -47110.\nAnswer: -3362\/23555","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 671644478?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 12:12 AM?\nAnswer: 12:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 3 - 19)*(1 - h + 0 + 1 + h**2) to the form g*h + w*h**2 + f and give w.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f**5 - 430*f**4 - 44309*f**3 - 1569194*f**2 - 24193708*f - 138690200 = 0. What is f?\nAnswer: -25, -22, 521","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2 - 11*d - 72. Let n be m(-5). Solve 4*u = t - 12, u + t = 4*t + n for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 101852539?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 3*y - 1. Let d(k) = 13*k + 29. Let n(u) = 2*d(u) - 10*v(u). Let b be n(16). Solve -z = -2*j + 3*j, b*z = 2*j - 12 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 5268*a**2 - 10541*a**2 + 5272*a**2. Let y(i) = -60*i + 2. Calculate y(m(w)).\nAnswer: 60*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1966984158?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 take away 44.852?\nAnswer: -54.852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 163\/3 bigger than 28.9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*61.\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - b - 635 = -6*b, -3*d = -b + 373. Let p be 5\/15*-2*d. Let v = p - -74. Is v a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w**5 - w**5 + w**5 + 2*w**5 + 0*w**5 + 0*w**5 + (-w**3 + 4*w**3 - 4*w**3)*(0*w + 0*w - 2*w**2) + w**5 + 6*w**5 - 5*w**5 + 6*w**5 - 1 - 9*w**5 + 0*w**5.\nAnswer: 2*w**5 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 590638 by 2.\nAnswer: 295319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28*v**3 - 249*v + 19*v**3 - 2*v**2 - 2 + 10*v**3 - 25*v - 113*v to y*v**3 + g*v**2 + t*v + n and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62 is divided by 55.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c - 4*c + 3*c - 8 + 8 - 10*c + (3 + 0 - 1)*(0*c + c - 2*c))*(2*c**2 - 6*c**2 + c**2).\nAnswer: 39*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the third derivative of -j**9\/72 - j**5\/6 + 7*j**2. What is the third derivative of v(a) wrt a?\nAnswer: -840*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 142 (base 5) to base 14\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 60, 56, 52, 48?\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2\/7 + 78*z\/7 + 148\/7.\nAnswer: 2*(z + 2)*(z + 37)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*p**2\/19 - 272*p + 1722\/19.\nAnswer: 2*(p - 861)*(3*p - 1)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12354?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 5*j + j + 2*j. Let u(k) = -k. Give u(o(n)).\nAnswer: -8*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from {r: 6, g: 2, c: 4}.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-8)*(-2)\/2. Suppose 5*g - 21 = -2*g. Which is bigger: t or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 5, p: 15}. What is prob of picking 2 p and 2 l?\nAnswer: 70\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 4*x - 22 = 0, -5*x + 13 = -3*j + 2. Suppose -5*c - 4*u + 12583 = 0, -j*c - 2*u + 0*u + 7549 = 0. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 16*h**2 - 29*h - 6. Let f be z(9). Suppose -3*g - 3*q = g - 9, 0 = 2*g - 5*q - 11. Find the third derivative of 1029 + 6*d**2 - f - 9*d**g wrt d.\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 - k**2 - k + 2. Let y be r(2). Let m(s) = 2*s**2 - 3 - 3*s**2 + 5 + y*s + 0*s**2. Calculate m(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*s**2 + 189*s - 189*s.\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9\/5 in 2, -2\/11, 5, 3\/4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7749661 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11802072, -11802111, -11802212, -11802405, -11802720, -11803187, -11803836, -11804697?\nAnswer: -11805800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 6:29 AM?\nAnswer: 11:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 113968?\nAnswer: 569840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/3570*-10*15*2\/6.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhgzhghnghghnqh. Give prob of sequence hqg.\nAnswer: 2\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a meter in millimeters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.03971 * 0.4.\nAnswer: -0.015884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 - 3)*(-5*s + 4*s + 4*s)*(0 - 2*s + 0)*(2 - 1 + 0).\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40 (base 11) to base 13.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 78 = 2. Suppose n = -4*n + w. Solve 2*h + y - 5*y + 18 = 0, -13 = h - n*y for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4158004 a multiple of 366?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 36\/80*-2*(-640)\/320?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in eleven eighths of a millennium?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2082798 to the power of 1\/3, to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 2*d**2 + 14*d - 4. Determine f(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*u + 27 - 6. Let p(y) be the second derivative of -1\/6*y**u - 4*y + 1\/6*y**4 + 0*y**2 + 0. What is the second derivative of p(s) wrt s?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*y - 17*y - 4*b + 4 = 0, 5*b = y + 5 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 3)*(-82*t**2 + 61*t**2 + 62*t**2).\nAnswer: -123*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3743*j = -w - 3738*j + 29, 2*w - 4*j = 28 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*(12\/280)\/(3\/(-4)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -7*m + 9. Let i(u) = 4*u - 5. Let k be 2\/10 - (-26)\/(-5). Let x be (0 - 4) + (1 - 0). Calculate k*i(w) + x*l(w).\nAnswer: w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86*x - 27*x - 52 + 74*x + 78*x.\nAnswer: 211*x - 52","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 + 4*i**2 - 7. Let q be h(3). What is the third derivative of 3*x**3 + 11*x**q + 98 - 98 wrt x?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 300, 595, 888, 1185, 1492, 1815, 2160, 2533?\nAnswer: 2940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15554 is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 14978877 a multiple of 87?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 + 8*t**2 - t - 5. Let b be n(-8). Suppose 0 = b*h - 5 - 4. Solve 3*u - 16 = 5*p - 0*p, 5*u - h*p = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**2 - 4. Suppose -3*p + 12 = 3*w - 6*p, -24 = -4*w - 4*p. Let z = 8 - w. What is k(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -b + 7*b**2 - 10*b**4 - 1 - 11*b**2 + 8*b**4 to q + k*b**2 + i*b**4 + g*b**3 + f*b and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39250 is divided by 9797?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*v - 4186 = v. Let p = -322 - v. Let j(y) = y**3 - y - 2. Give j(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/50 of a millennium?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z - 3*z + 0*z - 2*z + z + 20*z + (-4 + 2 - 3)*(39*z + 106*z - 23*z) - 3*z + z + 3*z + z - 3*z + 4*z + (1 - 2*z - 1)*(0 - 2 + 0).\nAnswer: -585*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2313323001 (base 4) in base 5?\nAnswer: 143101340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 198*c**4 - 1822332*c**3 + 1269952*c**2 + 570588*c - 18406 = 0. What is c?\nAnswer: -1\/3, 1\/33, 1, 9203","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -3 + 7 - (8 + -4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2\/9 - 4912*q\/3 - 4914.\nAnswer: 2*(q - 7371)*(q + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 3*t = -2*m + 3, 3*t - 12 = -m. Suppose m*q - 3*g - 30 = 0, -3*g = -3*q - 8*g + 30. Let z(y) = 3*y - q*y + 13*y. Let p(o) = -o. Determine p(z(n)).\nAnswer: -6*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(21)*-1 - sqrt(126)\/(sqrt(30)\/sqrt(5)))\/(sqrt(175)*2*-6*-6)*-2.\nAnswer: -sqrt(3)\/90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 5021 - 1397 = 0. Let f = 1829 + t. What is the hundreds digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 180*o**2 - 13*o - 38. Let l be i(-8). Suppose d - q = 6003, -12430 = -4*d + 3*q + l. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 34581 - 21280. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -12, -206, 1.4, -5, 1 in increasing order.\nAnswer: -206, -12, -5, 1, 1.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*k*y**3 + 7*k*y**2 + 15498*k*y + 48*k + 13*y**3 - 55*y**2 - 1845*y - 3 with respect to k.\nAnswer: 2*y**3 + 7*y**2 + 15498*y + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 - 2)*(-3*h**5 + 0*h**5 + 2*h**5).\nAnswer: 4*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2114089 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80184 = 1604*w - 4688*w for w.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v - 3*u + 9, v - u - 7 = -0*u. Let h(t) = -t**2 + 4*t - 4*t + 15*t - 24. Let z be h(13). Solve z*f = v*f + 16 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -8*w**3 + 14*w + 6. Let u be (-44)\/10 + 20\/50. Let k(b) = 3*b**3 - 5*b - 2. Calculate u*n(j) - 11*k(j).\nAnswer: -j**3 - j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 70 = 4*g. Let h be g\/(-3) + ((-35)\/(-21) - 1). Let k(u) = u**3 + 5*u**2 - u - 5. Let v be k(-5). Sort -8, h, 3, v in increasing order.\nAnswer: -8, h, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -31, -2750 in ascending order.\nAnswer: -2750, -31, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 - 23*g**2 - 23*g - 29. Let p(d) = -d**2 + 5*d + 24. Let u be p(0). Let b be h(u). Sort 0, b, 16, 2.\nAnswer: b, 0, 2, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 88\/176*((-4)\/(-10))\/(1197\/120 - 10)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwwwwwww. What is prob of picking 3 w?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yjsvvsvsyssvysajys. What is prob of sequence yj?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 AM and 10:09 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*g - 1630 = -75*g - 3678 - 4317 for g.\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a milligram in micrograms?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 + 4)*3 - (1 - -11)\/((-186)\/(-1178))?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56366089.\nAnswer: 13, 4335853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27, -82, -163, -276, -427?\nAnswer: -622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that w**2 + 9*w + 20 = 0.\nAnswer: -5, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-56)\/3360*-40*34 - 4\/6?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14034.5 + -10823. Round j to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 60*n - 71*n + 11. Sort -255, 3, n in ascending order.\nAnswer: -255, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 2*d**2 + d - 2. Let x(v) = v**2 + 6*v - 1. Let u(j) = x(j) - y(j). Give u(8).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/23706725 or 1?\nAnswer: 1\/23706725","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2\/16)\/((-1)\/(-10)))\/(286\/1144)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-3))\/((-30)\/36)*(-8)\/8.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1612 - -186.3612. What is v rounded to the nearest integer?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00009855 to six decimal places.\nAnswer: 0.000099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 7, 3, 5?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 105751 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2351456 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7 + -73?\nAnswer: -7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2808 and 3807?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -432180 divided by -90.\nAnswer: 4802","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-6)*u)\/(u**(2\/5)\/u*u)*((u**(-3\/4)*u*u)\/u*u)**(-7\/11) assuming u is positive.\nAnswer: u**(-1363\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 441 is divided by 91?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(102) - sqrt(102))*1 - sqrt(102)) + 2*(sqrt(102) - 2*sqrt(102)))\/(1*sqrt(726) - sqrt(18)\/sqrt(3)*6).\nAnswer: -sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 17505286 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5*g - g - 3*g)*(1 - 1 - 1) - 7*g + 3*g + g)*(-2 - 1 + 1).\nAnswer: 8*g","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:31 PM and 8:13 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 + 4*u**2. Let y be f(-2). Let v = 12 - y. Put -2, -3, v in descending order.\nAnswer: v, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -194 = -38*n + 110 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 8:58 PM?\nAnswer: 8:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 831889 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-4)\/6)\/(2\/(-132)*4). What is d rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.1241 - 0.3759. Which is the second smallest value? (a) u (b) -1\/5 (c) -22.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -97 + 180. Let i = q + -84. Sort 1\/3, 1\/4, 3\/7, i in increasing order.\nAnswer: i, 1\/4, 1\/3, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 40834?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 983 = 3*m + 311. Let c = -184 + m. What is the least common multiple of 48 and c?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 4, 3*i - 5 = 4*c - 29. Let k be ((-162)\/(-72))\/(1\/124). What is the greatest common divisor of k and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 3.4. Let w be (-5)\/(-6) - 2\/6. Let q be (2\/30)\/(72\/(-216)). Sort q, t, w.\nAnswer: q, t, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of -8*h**2 - 31*h + 43. Differentiate i(n) with respect to n.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zd when two letters picked without replacement from {z: 3, d: 2}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1656)\/(-324)*(-63)\/(-14)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 470059 is divided by 10973?\nAnswer: 9193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*f + 1414 + 10*f**2 + 545*f**4 + 1100 - 410 - 518*f**4 - 361 with respect to f.\nAnswer: 108*f**3 + 20*f + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 38 - 27. Let v(z) = -z**2 + 12*z - 4. Let n be v(k). Solve -n = 5*y - 2*g, 4*y - g + 24 = -4*g for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 AM and 3:50 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 1656*i + 192. Let v(n) = -43*n - 5. Calculate 5*m(z) + 192*v(z).\nAnswer: 24*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 438206 to the power of 1\/2, to the nearest integer?\nAnswer: 662","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 5*k - 32, -5*k + 3*g = -g - 22. Let q be ((-1)\/(-2))\/(k\/36). Solve 0 = -q*t + 14 - 2 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 409169?\nAnswer: 2\/409169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 82 + -93.55. Let a = 11.5 + j. Is a not equal to -14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5)\/16*36\/(-765). Which is smaller: 1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 32 + (135 + -141 - (1 + (-10 - 0)))?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8113*r + 2*r**2 - 8113*r + 72.\nAnswer: 2*r**2 + 72","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 - -1. Suppose -4*i + 16 = 0, -t = 2*i - 0*i + 26. Let h = t + 32. Sort -3, h, y in decreasing order.\nAnswer: h, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/3015, 0, 50, -1?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of -11*w**3\/3 + 7. Let t(a) = -9*a**2. Calculate q(t(n)).\nAnswer: -891*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 6*j - 4. Determine n(-13).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59174?\nAnswer: 2, 29587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6112992?\nAnswer: 2, 3, 37, 1721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -58934158*-4\nAnswer: 235736632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-nine quarters of a litre?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 + 7*i**2 - 8*i + 4. Let a be c(-7). Suppose 3*g + a = 3*n, -6*n + 2*n + 2*g = -70. Suppose 0 = 5*v - 5 - n. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(3\/5)\/p)\/p**(-2\/5)*(p**2)**(-4\/13) assuming p is positive.\nAnswer: p**(-8\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (11\/(-5))\/(-3 + (-28)\/(-10)). Let s(c) = -c**3 + 10*c**2 + 12*c - 11. Let d be s(z). Let p be (-4 + 110 - d) + 5. Round p to the nearest 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 r, and 2 c when four letters picked without replacement from {c: 2, r: 5, t: 4}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (50\/5)\/((-1)\/1). Let x = 26 + r. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4175504*v**3 + 884*v**2 + v + 734.\nAnswer: -25053024","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*n - 50 = -80 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -53417153 - -88417153. What is c rounded to the nearest 1000000?\nAnswer: 35000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -13, 1, -4, -0.39 in decreasing order.\nAnswer: 1, -0.39, -1, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -j + 12. Sort 1, 2, j.\nAnswer: j, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -146, -151, -176, -233, -334?\n\"Answer: -2*m**3 + 2*m**2 + 3*m - 149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 193*z**2 - 105*z**2 + 111*z**2 + 278*z**2 - 2*z + 214*z**2 to l + a*z + k*z**2 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 120\/(-35) + (-8)\/14. Let i(o) = 2*o - 13. Let w be i(b). Let u be (-15)\/w - (-4)\/14. Let k(a) = -8*a - 1. Give k(u).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2800 and 12040?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1303001 - 4044?\nAnswer: 1243402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and 158721.77.\nAnswer: -317443.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2677076 is divided by 1338284?\nAnswer: 508","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115\/4758 and -11\/520.\nAnswer: 95160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -121 - -123. Suppose -2*j + 5*q = -11, 2*j - u*q - 1 - 1 = 0. Let f(t) be the third derivative of -t**6\/120 - t**5\/60 - t**3\/6 - t**2. Calculate f(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - -36180.\nAnswer: 36172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16408*f - 174714 = 18769*f for f.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -76\/15 + -41\/60. Let a = -49\/8 - l. Suppose -3*y + 4*s + 9 - 1 = 0, -s - 2 = 5*y. Is a at least y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-9))\/(1*(1 - 3)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from hoohohchooo.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2763333?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 28*u**2 + 2*u - 21. What are the prime factors of y(7)?\nAnswer: 3, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 415, 327, 277, 271, 315, 415?\n\"Answer: u**3 + 13*u**2 - 134*u + 535","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3156, -13739, -31378, -56073?\n\"Answer: -3528*z**2 + z + 371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 12:44 PM?\nAnswer: 7:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -33 - -427\/13. Suppose j = 4*t - 3, 0 = 5*t + j - 8 + 2. What is the nearest to t in 0.2, b, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4187 and 7685?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 139*y**3 - 114*y**3 - 416*y**3 - 437*y**3 + 113*y**3.\nAnswer: -715*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum -223167034074 and 0.5.\nAnswer: -223167034073.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 64164.6 and -2.\nAnswer: -128329.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes before 1:33 AM?\nAnswer: 11:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lzlzzzjnz. What is prob of sequence jz?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.1947 to 0 decimal places.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(1 + (sqrt(11) - -3*sqrt(891)) + sqrt(11) + 4*(sqrt(66)\/sqrt(6) - sqrt(11)))**2.\nAnswer: 58*sqrt(11) + 9252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q*q\/(q\/(q*q**1\/q*q)))*q*q**(-2)*q)\/(q**(-1\/2)\/q)**(-1\/18))**(1\/15) assuming q is positive.\nAnswer: q**(-5\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 706616 and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9\/2? (a) 46 (b) -2 (c) 0 (d) 10.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h + 2*h - h**2)*(-5*h**2 - 11*h**3 + h**2 + 10*h**3).\nAnswer: h**5 + 4*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 243 and 4913811?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - 11021?\nAnswer: -11014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**4 - 4*t**2 + 20*t**3 - 20*t - 15*t**2 - 9*t**2 + 41*t**2 - 18*t**2.\nAnswer: 5*t*(t - 1)*(t + 1)*(t + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*t + 5*s - 20, 5*t - 6 = 11*s - 9*s for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 299724859?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together -165.7996 and 51900.\nAnswer: 51734.2004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -7.03 >= 0.579?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of -p**4\/38 - 14*p**3\/19 - 54*p**2\/19 + 384. Let v(a) = 0. What is a?\nAnswer: -18, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2719 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -21 - -8089b?\nAnswer: 8087a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*l**2 - 43*l + 41*l - 2*l**3 + 0*l**2 + 2 - l**2 to j*l + k*l**2 + r*l**3 + c and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 648446, 648448, 648450, 648452?\n\"Answer: 2*n + 648444","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -533 (base 8) to base 2.\nAnswer: -101011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - -202200111010001?\nAnswer: 202200111002212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -62*b + 4. Let d be q(1). Let i = d + 61. Solve i*f = f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -17*(3 + -1)*3070*14\/140. Which is greater: n or -10439?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of 3*f**6\/20 - f**5\/6 - 8*f**2 - 17*f. Let g(i) be the first derivative of w(i). Find the third derivative of g(j) wrt j.\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.9235 to 1 dp.\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23588?\nAnswer: 2, 5897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38342121.\nAnswer: 3, 12780707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3975 and 165360.\nAnswer: 826800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 - -5.0000008. What is m rounded to 6 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of 43*f**4\/6 + 26*f - 8. Let a(q) be the first derivative of g(q). Let o(t) = -t. Give a(o(m)).\nAnswer: 86*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/13 in 6\/11, 5, 1?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pvooeocpvwov. What is prob of picking 1 w and 1 v?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -b9 (base 13) in base 15?\nAnswer: -a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ix when two letters picked without replacement from iiiiiiiiiiix?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is (4 - (-99)\/27)*471 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 101 divide 147864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5 - -1 - (4 + 0) - 216. Let f = 213 + r. Let y = -0.15 + 0.65. Which is the closest to f? (a) -3 (b) -0.1 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -293110 divided by -29311.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 4*a + 153 = 0, -4*s + 9*s - 150 = 5*a. Let p = -30 + 52. What is the greatest common factor of p and s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirty-two fifths of a century?\nAnswer: 7680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/16 of a kilometer?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 25 and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -11, -12, -13, -14?\n\"Answer: -j - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23, 73, 157, 275?\nAnswer: 427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1751696257?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2004, -2\/13, 2\/7, -0.2, -5?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*k - 88 = -5*k. Let h(l) = -3*l - 40. Let s be h(k). Let t be (-28)\/49 + 3\/s. Is t at least -4\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1258793?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 22 + -10. Let h be 30\/8 + 3\/y. Suppose h*p - 11 - 25 = 0. What is the remainder when 16 is divided by p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of -1\/2*a**2 + 0*a**3 + 1\/4*a**4 + 2 + 0*a. What is the second derivative of q(g) wrt g?\nAnswer: 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sff when three letters picked without replacement from sfffffsssuusffss?\nAnswer: 7\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5353*s = 5342*s + 799788. What are the prime factors of s?\nAnswer: 2, 3, 73, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/21 and 16\/3007161.\nAnswer: 21050127","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -480680, -1922729, -4326144, -7690925, -12017072?\n\"Answer: -480683*v**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 90 and 870?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 34093973*q**5 - q**3 + 7444594*q**2?\nAnswer: 2045638380*q**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 158*z + 19270. Give m(-122).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (3 - -2 - 9).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3262 and 0.02?\nAnswer: 65.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -13*h**2. Let w(y) = -148417*y**2. What is d(w(c))?\nAnswer: -286358876557*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -30*u - 3. Let w(h) = -92*h - 8. Determine 17*i(v) - 6*w(v).\nAnswer: 42*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 79060 and 2068835.\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -90*w**2 + 0*w + 0*w as b*w + u*w**2 + g and give u.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 + 551771*i + 2758913. Give u(-5).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 3*d - 1. Let l be f(5). Suppose -c = -2*z - 24, 6*c + 3*z = 8*c - 50. What is the highest common divisor of l and c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1226\/9 or 136?\nAnswer: 1226\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.2 + -2.9. What is the second biggest value in k, -1\/2, -5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes before 3:44 PM?\nAnswer: 2:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 1 + 4. What is the greatest common factor of 20 and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 51670384?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 10*z**2 - 10*z - 60. Let g be n(7). Calculate the highest common factor of 285 and g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 85, 1139, 4005, 9589, 18797, 32535, 51709, 77225?\nAnswer: 109989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -148214*t**2 - 159287*t wrt t?\nAnswer: -296428","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 3 = 7*x + 3, -15 = -5*j - x for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 10:13 AM?\nAnswer: 5:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, -6, 5, 19.\nAnswer: -6, -5, -3, 5, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 299 is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (1*sqrt(1331) + sqrt(11))**2 + -1.\nAnswer: 1587","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 - -11. Suppose -p + n + 6 = -4*r, 3*p + 3*r + 3 = 0. Suppose 2*z = p + 15. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 83173 and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -116*a + 119*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 68250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 i when three letters picked without replacement from wqwqqijwwjjwwwwiwq.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(637) + (1 + sqrt(637))*-2 - (sqrt(637) + 0)*-6)*6 - ((sqrt(637) - -4*(sqrt(637)*-3 + sqrt(637))) + 0 + -1 + sqrt(637) + sqrt(637))) + -3)**2.\nAnswer: -6860*sqrt(13) + 780521","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11 in 0.1, 3, -4, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, u: 11}. What is prob of sequence uii?\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1886)\/(-18) - -4*4\/72.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that r**2 - 2403859 + 830*r + 2405217 - 2189*r = 0.\nAnswer: 1, 1358","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8 and -60.\nAnswer: 480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the third derivative of -w**9\/15120 - w**8\/6720 + w**7\/560 - w**6\/360 - 2*w**5\/15 - w**2. Let m(l) be the third derivative of y(l). Factor m(q).\nAnswer: -(q - 1)*(q + 2)*(4*q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5 - 40\/(-5)) + (-2014)\/636. Let z = -3.8 + 4. Which is the nearest to 2? (a) z (b) 0.4 (c) p (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**2 - 3*d. Suppose 0 = -5*i - 0 - 10. Let t(j) = 5*j**2 + 4*j + 3. Let q be t(i). Suppose 0*k = -5*k - q. Calculate p(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 155 + -90. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*b - b - b - 3*b**3 + 10*b**3 to the form i + f*b + p*b**2 + r*b**3 and give r.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24570 = -69*q + 27*q. Let z(x) = q*x + 588*x + 589*x - 1763*x. Let o(w) = 5*w + 1. Calculate z(o(d)).\nAnswer: -5*d - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 49.7341 to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -150, -298, -446, -594?\n\"Answer: -148*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + 14. Let a(y) be the first derivative of 12*y**3 - 7. Suppose 2*j - 3*i + 1 = 0, 3*j + 4*i + 10 = -0*j. Let v(b) = 5*b**2. What is j*a(m) + r*v(m)?\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 2 + 5*t as s + g*t and give g.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 295555.\nAnswer: 5, 13, 4547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - 4 - 12. Find the third derivative of 0*v + 0*v + 4*v**j + v**2 - 2*v**4 wrt v.\nAnswer: 48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -142 - -141. Let o(u) = -u**3 - 6*u**2 - 4*u + 3. Let y be o(-5). Is j < y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 14356223?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1066*r - 1060*r - 12036 = 0. List the prime factors of r.\nAnswer: 2, 17, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 770?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -293681, -1178866, -2654181, -4719632, -7375225?\nAnswer: -10620966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-41)\/((-5)\/(15\/(-3))*(-23)\/161*7).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1279 + -721. Is c a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 24\/(-4) + -2 - -3. Let z = h - -15. Let p be (-8)\/z + 230\/225. Put -2\/7, p, -1 in decreasing order.\nAnswer: p, -2\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in one quarter of a tonne?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3388 + 4749. Does 58 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 887779 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 38420 and 1085930.\nAnswer: 36921620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2005 - 234587\/117. Which is bigger: -1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2232271.051 - -2239964. Let y = n + -7689. Let z = y + 0.051. Which is the biggest value? (a) 0 (b) z (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/15? (a) -3\/11 (b) 2\/7 (c) -3 (d) -15.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*z - 3*s = -22*z + 25, -5*z = -2*s for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 64*u**2 - 7*u + 41*u**2 - 106*u**2 + 17. What is c(-8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (63\/(-7))\/45*(-4)\/(-1)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b = -4*b - 45. Let m be 24\/9*b\/50. Solve -m*u**2 + 0 + 2\/5*u + 4\/5*u**4 + 0*u**3 - 2\/5*u**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*m**3 - 6*m**3 - 10*m**2 + m**3 - 4*m**4 - 39*m + 3*m**4 + 14 + 37*m in the form w*m**2 + s*m**4 + b*m + t*m**3 + p and give p.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1167292546?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1\/63 - 23\/126. Let j = t - -1\/2. Let x = -8 - -13. What is the nearest to -3 in x, j, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of -s**5\/15 - s**2. Let w(v) = 16*v - 46*v + 17*v + 12*v. Give d(w(f)).\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 158 a factor of 26486330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 221 is divided by 57?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 2*i - 4*i = -20, 0 = -y - 2*i + 12. Suppose -64 = -2*q - 2*q. Calculate the remainder when q is divided by y.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 2980 = -2*n. Solve 2 - t + t**3 + 0 + n*t**2 - 747*t**2 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72\/(-16)*(-4 - 8) is divided by 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 537506469*x**4 - 407*x**2 + 232*x - 1 wrt x?\nAnswer: 12900155256*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*z - 16 + 1 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*f = -761 - 9639. What is the highest common factor of 45 and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 874237073?\nAnswer: 37, 157, 150497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 584*v + 25. Let i(h) = -292*h - 17. Give 3*d(o) + 5*i(o).\nAnswer: 292*o - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 246.19 + -249. Let m = 2.31 + g. What is the third smallest value in 1.9, -0.2, -0.4, m?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/1582 and 121\/570?\nAnswer: 450870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + n + 19 + 4, 3*n + 39 = 4*l. Suppose i = l*i - 10. Let u(r) = -2 - 71*r + 35*r + r**i + 31*r. Calculate u(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21.5 + 21. Which is the smallest value? (a) -0.2 (b) 1\/5 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -7*b - 77. Give o(-16).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-5)\/3)\/((-1)\/6). Suppose 2*h = 3*t + 6*h - 8, 0 = -4*t - 5*h + p. Suppose z + 2*z - 231 = t. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9*4\/(-144) + 654\/24.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11.304 + 0.004. Let h = g + 11. Let v = 12\/25 - -27\/100. Which is the second smallest value? (a) v (b) h (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 86*l - 1632. Let y be j(19). Factor 0 - 1\/5*r**y + 1\/10*r**4 - 1\/10*r**3 + 0*r.\nAnswer: r**2*(r - 2)*(r + 1)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - x**2 + 1 + (854*x - 542*x - 779*x)*(5*x - 3*x - 4*x).\nAnswer: 933*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 16*d + 310 = -135*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(648) - (sqrt(648)*-2 + sqrt(648) + sqrt(648) - sqrt(648) - sqrt(648))) + sqrt(648))\/(sqrt(864)*2).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4\/7)\/((-2)\/(-7)). Suppose 5 = r*x - x. Let l(q) be the third derivative of q**5\/60 - q**4\/4 - q**3\/2 + 9*q**2. Determine l(x).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -42 - -62. Let t = y + -19.9908. Round t to 3 decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 + 24*a**2 + 21*a - 29. What is the remainder when u(-23) is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 121 - -165. Calculate the remainder when z is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -70*j - 3. Let b(v) = 70*v + 3. Calculate 3*b(f) + 4*c(f).\nAnswer: -70*f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 15*g - 10. Let b be (-5*4\/12)\/((-3)\/(-126)). Let a = b + 76. Calculate the remainder when o(a) is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2 + 3*c + 22. Let w be i(6). Suppose w*m + m = 20. Solve -m*u + 2 = 18 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 6*u - 16. Suppose 4*a - 3*q = -39, -2*a = -3*a - 2*q + u. Let c = 16 + a. What are the prime factors of c?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 + -22. Let h(d) = 18 + 4 + 3*d**2 - 36 + 9*d. Let z be h(c). What is z rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 20*p**5 + 748*p**4 + 5936*p**3 - 20144*p**2 + 7040*p + 6400 = 0.\nAnswer: -20, -2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 2*k - 15. Let x be n(4). Let v(q) = -6*q - 37. Let l be v(x). What is the second derivative of 33*c**l + 2*c - 29*c**5 + 8*c - 20*c**5 wrt c?\nAnswer: -320*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vsvvvmeesewmve. What is prob of sequence ve?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2314925\/6 - -386759. Let q = -925 + c. Find the common denominator of (54\/(-4) + 1)\/(-2) and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.7 - 8.8. Let m = 7 + z. Let f = -0.09999951 - m. Round f to 7 decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -63) + (26 - 26) + -7 + 1?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*y + 120 - 774 + 242 - 769 to the form i*y + f and give i.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1095116217?\nAnswer: 3, 13, 17, 43, 107, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((341\/93)\/(33\/18))\/(((-45)\/(-5))\/(-414))?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 32113 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 454602 to the nearest integer?\nAnswer: 674","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 1 + 128*v**3 - 6*v**4 - 130*v**3 - 2*v to x*v**4 + p*v**3 + r*v**2 + a + b*v and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 110*r + 105. Determine o(-14).\nAnswer: -1435","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 87\/12 - (-1)\/(-4). Let v be ((-10)\/h)\/((-3)\/21). Calculate the greatest common divisor of 70 and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/(84\/(-16))*(-60)\/20?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 - 6*i**2 + 8*i + 1. What is k(-7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (4 + -2 + 0 - 2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -77 - -111. Let n be (-76)\/3 + 10\/(-15). Let w = p + n. Is w not equal to 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/5*1\/(-2). Suppose -3*p + 2*p = 0. Let g = -260 - -1818\/7. What is the nearest to u in 4\/5, g, p?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1760 is divided by 17.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10\/16*-2*-4. Suppose -f - 4 = -u*f. What is the first derivative of -18*l + 18*l + 2*l**2 + f wrt l?\nAnswer: 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.0644 and -8.98.\nAnswer: -8.9156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 14294372681 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 48 - 46. Calculate the remainder when 2 is divided by w.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -9 (b) 0.082 (c) -7331\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 141 + -126. What is the greatest common divisor of t and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/77? (a) -0.176 (b) -35 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of -5*p**5\/24 + 2*p**4\/3 - p**3\/3 - 18. Let f(h) be the third derivative of w(h). Differentiate f(i) with respect to i.\nAnswer: -25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*r + 3*r + 1485. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6146*i + 2354*i + 2851*i + 4991*i - 725*i.\nAnswer: 15617*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31198740?\nAnswer: 2, 3, 5, 17, 73, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 110370013?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/7)*g**(-5)\/g)\/(g\/g**1*g)**(-4\/13) assuming g is positive.\nAnswer: g**(-544\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 379 - 411.1. Let z = 4.9 - g. Let a = 36.9868 - z. Round a to three decimal places.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 941307?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in 39, -4, 0.5, 5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 81 + 3)*(-4 + 4 - 2*m) + 3 - 3 - 6*m - 3 + 2*m + 3 in the form y*m + z and give y.\nAnswer: -170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 360621 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2\/3 (b) 237 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p + 4. Let f be s(-7). Let w be (1\/1)\/(f\/18). Let m be 0*((-2)\/(-4) - 0). Is m not equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.9888 + -1.4888. What is the smallest value in r, 5, 0.4, -78?\nAnswer: -78","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 37647 or 37645?\nAnswer: 37645","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2885 and 4616?\nAnswer: 23080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1400 - 1387)*12\/(-26).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 + 28*h**2 - 26*h - 4. Let j be n(27). Differentiate -100*o**3 + 74*o**3 + 8 + j + 64*o**3 wrt o.\nAnswer: 114*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 3*a - 4 = 0, h + 0*a = 3*a - 14. Let w(z) = 10*z**2 + 2*z - 9. What is the hundreds digit of w(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 174 is divided by 20.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 + 8*i**2 + 18*i - 9. Let t be m(9). Find the third derivative of t*k**5 + 87*k**4 - 187*k + 86*k**4 + k**2 - 174*k**4 + k**2 wrt k.\nAnswer: 4320*k**2 - 24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62700031 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 5*w - 0*l + 3235, 2*w - 2*l = -1294. Let a = 88 - w. What are the prime factors of a?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 2 - 4 = 37951*k - 37949*k, -9*k = -4*h - 1 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 PM and 1:24 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60.03338t to milligrams.\nAnswer: 60033380000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31289?\nAnswer: 67, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 65*i**2 + 4*i - 6. Let t(x) = -x**2 + 2*x - 2. What is f(q) - 3*t(q)?\nAnswer: 68*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -17.07739 * -1.9.\nAnswer: 32.447041","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 405 + -396. Solve 12 = -13*n + k*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*j*u*w**3 - 106*j*w**2 - 4*j*w + 337*u*w**3 - 4*u*w - 2*w**3 wrt w?\nAnswer: -18*j*u + 2022*u - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6771 - 6775. Which is the nearest to u? (a) -2\/9 (b) -5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13048484 to the power of 1\/2, to the nearest integer?\nAnswer: 3612","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -121c45 (base 16) in base 7?\nAnswer: -13042210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-267 - -258) + 420\/44.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 9*n + 7*n - 2 = 3*n, 6*d + 3 = -n + 139 for d.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 + -10. Suppose 0 = -4*p + 3*x + 353, v = -3*p - x + 4*x + 261. Does 24 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 4*a - 10 = -34, -5*l + 3*a + 14 = 0. List the prime factors of ((-42)\/l)\/((-12)\/80).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 11) in base 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 11*b + 20*b - 2*b - 8*b. Let w(z) = z. Calculate t(w(a)).\nAnswer: 21*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*d**3 + 31*d**3 + 19*d - 19*d.\nAnswer: 3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12 + -42?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000025769456 to seven dps.\nAnswer: 0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 864581020 to the nearest 100000.\nAnswer: 864600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 184983.8 to the nearest one thousand.\nAnswer: 185000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 31122233202 (base 4) to base 10\nAnswer: 3517410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from {p: 2, u: 5, m: 9}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -224405\/18 + 12467. Let c(o) be the second derivative of 0 - 8*o + 5\/9*o**3 + 0*o**2 - i*o**4. Find v, given that c(v) = 0.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/11, -2\/3, -57, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -460 in -0.1, 4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3\/3 - 22980*c**2 - 206827*c\/3 - 45962.\nAnswer: (c - 68943)*(c + 1)*(c + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1550 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 24\/32 + 9\/(-12). Let a(v) = v**2 + 4*v - 19. Let u be (-1*15 - -1)\/2. Let o be a(u). Solve -s + d*s + 10 = 4*x, 4*s + o = 5*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -36033 and 2?\nAnswer: -72066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3708291251 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 14 - -6?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -483, -491, -537, -639, -815, -1083, -1461, -1967?\n\"Answer: -3*g**3 - g**2 + 16*g - 495","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-36)\/(-3)*2\/6. Let r(o) = 0*o - o + 6 - f + 2*o. What is r(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 66 and 176?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h + 2. Let f be m(2). Let v(s) = -s. Let o(a) = -5*a**2 + 4*a - 11*a**2 - 11*a**2 + 28*a**2. Determine f*v(w) + o(w).\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 23070\/769 - (2 + 3). Suppose 4*w + w - 105 = 0. Solve -w*z + k = -26*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.91921498 rounded to 2 dps?\nAnswer: -1.92","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + -26 + (-4 - -4) + -10.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 4*f**2. Let b(s) = 614457*s - 19. What is b(k(l))?\nAnswer: 2457828*l**2 - 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14, 29, 64, 131, 242, 409?\nAnswer: 644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 + 0 + -2)*(1 - 2). Solve 4*p + 2*k + 10 = 0, -8 = 3*p - p + f*k for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66514*l**3 + 33373*l**3 + 33305*l**3.\nAnswer: 164*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 425, 964, 1551, 2210, 2965?\n\"Answer: 4*f**3 + 511*f - 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6 and 270494223.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f**2 - 72*f - 76 = 0 for f.\nAnswer: -1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to 1563795?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 9*c = -30. Solve f = 3*f - c for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-190)\/342*(-8)\/10\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 + -10.4. Let u = 4.159 - 0.159. Which is the second smallest value? (a) 4\/7 (b) u (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the third derivative of t**6\/240 - t**5\/120 - t**4\/24 + 7*t**2. Factor u(w).\nAnswer: w*(w - 2)*(w + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2 - 6*s + 6. Let o be b(8). Suppose -4*q + o = -66. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11*3396620.\nAnswer: 37362820","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 1 + 101*i - 3 - i**2.\nAnswer: -i**2 + 101*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1010001101101000001 (base 2) to base 14\nAnswer: -89d61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u**3 + 2215*u - 4445*u + 2230*u.\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5925 + 124547\/21. Let c = m + -50\/7. Let n = -1 + 1. What is the second smallest value in 5, n, c?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55031 is divided by 886.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 3*o + 1, 0*y + 5 = 3*o + 5*y. Suppose 4*k + 0*k - 216 = o. Suppose k = 3*c - 54. Does 15 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/184 and 83\/8.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59 is divided by 14.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-187)\/(-476) + (-1)\/7. Which is greater: y or -1.11?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sgxp when four letters picked without replacement from pxsgp.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30 - 12 - 1) + -10?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*(-3)\/15)\/(1\/(-15)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide (-36 + -21)*33\/(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/(-20))\/2*((-96525)\/66)\/(-45)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-26)\/(-10) + (-3)\/5. Suppose y - h = -d*y + 112, -5*y + 182 = 3*h. Suppose i = -0*i + y. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 - a**2 - 2. Let b be l(2). Let z(o) = o**b - 10*o**2 - 19*o**2. Let q(r) be the second derivative of r**3\/3 - 315*r. Determine q(z(t)).\nAnswer: -56*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 + 14*h**2 - 22*h + 7. Calculate the remainder when 41 is divided by i(12).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 402770.2 millilitres?\nAnswer: 402.7702","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-1 + ((sqrt(833) - (sqrt(833) - (0 + sqrt(833)) - sqrt(833)))*6 + -5 + 2*sqrt(833) - ((sqrt(833) - (1 + sqrt(833)))*4 + -4))*-3)**2.\nAnswer: 5880*sqrt(17) + 1469515","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1696406277?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -4 + -2 + -4*(1 + sqrt(684)) + -4)**2*-2.\nAnswer: -22400 - 1536*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 11*a + 38. Give r(-5).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 5 - 60 = 0. What is the remainder when q is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 50 + 25 = 0, -t = 2*d - 6657. What are the prime factors of d?\nAnswer: 2, 1663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*m = 18*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 149088\/17083*22\/4\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1087225 = 52*a - 862212 - 4827. List the prime factors of a.\nAnswer: 2, 19, 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -65.506 and -1143.76.\nAnswer: -1209.266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 526931 + -179058. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 2, -47, -106, -3, -5 in ascending order.\nAnswer: -106, -47, -9, -5, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -11.4281 (b) 0.1 (c) -5\/4 (d) 4 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 - 7*l**2 - 11*l - 5. Let y be a(-5). Suppose 4*x + 20 = y, 5*q - 275 = -0*x + 2*x. Suppose 0*w - q = -w. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 - 9*u**2 - 9*u - 4. Suppose 34*b - 30*b = -3*z - 7, -3*b - 24 = -4*z. Calculate j(b).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(38)\/sqrt(2) + 5 + sqrt(19))**2*6 + (-3 + sqrt(19) + (sqrt(2299) - -1*sqrt(2299)))**2.\nAnswer: -18*sqrt(19) + 10666","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 226720 divided by -4?\nAnswer: -56680","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 40\/(-1)*(-42)\/5. Let l = 723\/2 - k. Calculate the common denominator of 73\/10 and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4\/61 + -41\/305. Let v = 1.1 - 0.1. Put -1\/6, v, y, 3 in decreasing order.\nAnswer: 3, v, -1\/6, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -447*h. Let n be c(2). Is ((-3)\/(-9))\/((-2)\/n) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(4\/7)*u*u\/(u*u\/(u\/(u**13\/u*u))*u) assuming u is positive.\nAnswer: u**(-87\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 1 = -1. Suppose r*g + 240 = -g. Is (2 + -3 - g)\/1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 >= 81?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-4\/3)\/(y*y**(-3\/14)\/y*y)*(y*y**(1\/3))**(-46) assuming y is positive.\nAnswer: y**(-2665\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u**3 + 68*u**3 - 72*u**3.\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -344 + 343. Let y be 25\/(-30) - q - 10\/36. Sort -3, y, -5 in ascending order.\nAnswer: -5, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**5\/3 - 20*v**4\/3 + 118*v**3\/3 - 60*v**2 + 27*v.\nAnswer: v*(v - 9)**2*(v - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 516 and 162024?\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 5*o**4 - 100*o**3 - 105*o**2 = 0.\nAnswer: -1, 0, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 974*s - 8657. Let m be v(9). Which is the closest to m? (a) 0 (b) -0.4 (c) -0.2 (d) 1\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 + f**2 - 21*f + 60. Let d be n(4). Suppose -3*a = -0*a - 27. Calculate the remainder when (96\/(-64))\/((-6)\/d) is divided by a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.1894 - -0.0106. What is the second biggest value in f, -3\/5, 2.6, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2237941.51 to the nearest 100.\nAnswer: -2237900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 - t + 80. Let l = -8 - -8. What is the remainder when i(l) is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(-17)*c*(c*c*c\/(c**(-20\/7)*c))\/c)\/((c*c\/(c\/(c**(-2\/119)*c*c)))\/c)**7)**(-2\/81) assuming c is positive.\nAnswer: c**(-712\/3213)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 - 12. Suppose 0 = m + i + 3. Let t(k) = 9*k + 7. Let n(q) = 8*q + 6. Determine m*t(r) + 6*n(r).\nAnswer: 3*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 850866 and 10?\nAnswer: 4254330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -8 + -14 - (-26 + 81) - 21.\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i. Suppose -2*q + 8 = -6*q. Let k(m) = -m**3 - 2*m**2 + 3*m + 5. Let l be k(q). Let r(b) = -b**2 - 6*b + 6. Determine l*r(d) - 6*n(d).\nAnswer: d**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8399, 0, 874 in increasing order.\nAnswer: -8399, 0, 874","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7130 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8179\/17719 - -1\/17719. What is the third biggest value in -1\/6, m, -0.9?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 15, 9, -1, -15, -33?\n\"Answer: -2*n**2 + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(65)\/sqrt(45) + sqrt(13) + (sqrt(104) + -2*sqrt(104) + sqrt(104))\/sqrt(8).\nAnswer: 4*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the third derivative of -f**6\/300 - f**5\/75 + f**4\/20 + 3*f**2 + 7. Let n(q) = 0. Calculate q.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3432\/8736 + (0 - 2\/14)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 239 a factor of 5151520225?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6799604?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4\/7 (b) 2 (c) 1\/4 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-19)\/d**(-16)*(d\/(d*d**(-19\/5)*d))\/((d\/(d\/(d\/((d\/(d\/((d*d\/(d*(d\/d**(-2\/67))\/d)*d)\/d)))\/d*d)*d)*d*d))\/d) assuming d is positive.\nAnswer: d**(593\/335)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 AM and 4:36 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10101 - 1001001?\nAnswer: -1011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -426, -235, 290, 1317, 3014, 5549, 9090, 13805?\n\"Answer: 28*v**3 - v**2 - 2*v - 451","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**1)**12\/(g**1)**(-19))**(-24) assuming g is positive.\nAnswer: g**(-744)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-48)\/(-8))\/12*(-70)\/5.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13.9 - -13.4. Which is the nearest to 0.08? (a) 0.4 (b) 5 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 784 - 783. Let y(s) = 2*s**3 - 12*s**2 - 12*s. Let r(t) = -t**2 - t. Determine k*y(b) - 12*r(b).\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000269971 to seven decimal places.\nAnswer: 0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 7*m**2 - 9*m + 4. Let q(v) = 0*v**2 + 0*v + 3 + 6*v**2 - 2*v - 6*v. Let w(f) = -3*c(f) + 4*q(f). Find the second derivative of w(t) wrt t.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4295664*m**2*q - 18*m**2*w - 5*m*q + 1641*m - 595*w wrt m.\nAnswer: -8591328*q - 36*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -481, -898, -1313, -1726, -2137, -2546, -2953?\n\"Answer: m**2 - 420*m - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -25116, 0.5, -12 in ascending order.\nAnswer: -25116, -12, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 674 * -1.46\nAnswer: -984.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 - 92*n**2 - 256*n - 1242. Determine w(95).\nAnswer: 1513","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2937, 6092, 9257, 12432, 15617?\n\"Answer: 5*d**2 + 3140*d - 208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 231588487?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -349830 (base 11) to base 6\nAnswer: -15520013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 40*q + 15 - 135. Let m = 106 - 75. Suppose 0 = -q*o + m + 32. Find the common denominator of o and -75\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 - 1 = 3*z. Let h be 13\/5 - 51\/85. Suppose 0 = 3*k - 3*x + 24, h*k - 5*x + 4*x + 11 = 0. Sort 2, k, z in increasing order.\nAnswer: k, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 2*a = 12, a - 20 = -5437*f + 5432*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -28037\/8 - -3494. What is the common denominator of 49\/8 and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -49, -276, -255.\nAnswer: -276, -255, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 4*c - o, 4*o = -0*c + 2*c + 2. Sort -1, -4, c in decreasing order.\nAnswer: -1, -4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*i**3 - 117*i**2 + 141*i**2 + i**3 - 8*i**4 = 0. Calculate i.\nAnswer: -3\/2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296266422 to the power of 1\/3, to the nearest integer?\nAnswer: 667","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 0 + 8 = -b, b = 5*q - 13. Solve 32 = -11*r - b for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 136*b*n**3 + 28852*b*n - 57*b - 391768 wrt n?\nAnswer: 408*b*n**2 + 28852*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/14, 15, 264.96?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -56*s - 560. Let f be j(-10). Sort -2\/13, f, -1, -5 in decreasing order.\nAnswer: f, -2\/13, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-33)\/(2640\/(-128))*5\/1. Solve -i*z - 6 = -11*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 u when four letters picked without replacement from {u: 6, m: 12}?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of -y**4\/4 - y**3\/3 + 40120*y**2. Let w(l) = -l - 1. Let a be 1\/(2\/(-4)*-2). Determine a*s(t) - 2*w(t).\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -963, 129, -8, -1, -4, 4 in increasing order.\nAnswer: -963, -8, -4, -1, 1, 4, 129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(0 - 6) - 11\/(44\/(-8)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1074 - 137\nAnswer: 937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 + -9. Let t be (-2 + 0 - -4) + v. Which is the third smallest value? (a) 1 (b) -2\/3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r. Let t(s) = -1694*s**2. Determine t(l(m)).\nAnswer: -1694*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 + 4*t**2 + 8. Let j(f) = 2*f**3 - 3*f**2 + f - 7. Let p(a) = 2*c(a) + 3*j(a). Let g be (4 + 2)\/(10\/4 + -1). Is p(g) a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 24*k + 2. Let b(h) = -12*h - 1. Determine -7*b(t) - 3*o(t).\nAnswer: 12*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 26\/39 - 62\/3. Is (3 - 3063\/12)*q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - 2. Let k = 1.08 + -1.08. Sort k, g, -0.3 in decreasing order.\nAnswer: k, -0.3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11001000101101001111010 (base 2) to base 5.\nAnswer: -3140424022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -64\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the third derivative of p**7\/315 - p**6\/60 + 3*p**2 + 65. Find i such that h(i) = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1654*l - 104*l - 4119 + 99051 = 0 for l.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the first derivative of 1\/3*z**3 - 46 - 6*z - 1\/2*z**2. Calculate y(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 5*p = 11, 3*f - p - 2 = -5*p. Let g be (3\/(-2))\/(6\/(-8)). Solve 2 = -f*j - g for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1037401 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.23 + -0.07. Let n = z + 0.2. Let m = 0.5 + -5.5. What is the nearest to n in m, 5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 263708453 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-2 + sqrt(27) + -3 + -5)**2.\nAnswer: -60*sqrt(3) + 127","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 + 6*f**2 + 8*f - 3. Let l be s(7). Suppose -4*n + 109 = 3*z, 80 + 11 = l*n - 3*z. Solve 5*o + 0*t - n = -2*t, 10 = 2*o + 2*t for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 46*q**2 - q + 1. Calculate f(1).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((0 + (-1*sqrt(3) + 0 + sqrt(27) + sqrt(27) + 2 - sqrt(12)\/(sqrt(28)\/sqrt(7)*6)))*-5)**2.\nAnswer: -22225\/6 - 2900*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 306341459 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -46 + 46 + v. Suppose -2*g + 2*q - 808 = -276, -3*g = 2*q + 808. Let r = 268 + g. Determine d(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**3\/25 + 86*u**2\/25 + 1232*u\/25 + 1176\/5.\nAnswer: 2*(u + 14)**2*(u + 15)\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -186*q + 183*q + 17 = h, -q = -3*h + 11 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 - 6*a**2 + 12*a - 126. Calculate b(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*o - 67 = -151 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (44*12\/396)\/(8\/6). What is the closest to q in -1\/8, -0.1, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 4. Let r be 9 + l + (-15)\/3. Let g be 2*r\/16*4. Solve -5 + 2 = g*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/(-3))\/((-9)\/540*10).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 7*w + 2)*((1 + 1 - 1)*(-4 + 6 - 4) + (1 + 2 + 4)*(5 - 1 - 2) + (3 - 5 + 0)*(-1 + 3 + 0)*(1 + 0 - 5)).\nAnswer: -196*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vojac. What is prob of sequence oc?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence opoo when four letters picked without replacement from {p: 7, o: 9, h: 3}?\nAnswer: 49\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2, -3.1, -1\/6, 0?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-74) - (-2221376)\/9028. Solve 0 = 11*k - 257 + n for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the first derivative of -261*g**2\/2 - 7*g + 12. Suppose -13 - 2 = -5*h. Let r be i(h). Round r to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*n + 6696 - 5406 = 0 for n.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -119\/13, 71, -0.3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 21*v**2 + 28*v + 81048.\nAnswer: 42*v + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 11:48 AM?\nAnswer: 10:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1592*k + 5440 = 1598*k - 3275*k for k.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, 3, -1.\nAnswer: -1, -2\/13, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/6 + 1598\/6. Suppose r + 3*y = c, -y + 530 = 2*r + 3*y. Suppose r = -4*j + 5*g + 833, 5*j = -3*g + 694. What is j rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.01 - -4.01. Let o(b) = 524*b + 72314. Let l be o(-138). What is the nearest to 0.06 in -3\/4, 1, v, l?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37504932 divided by -6?\nAnswer: -6250822","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 25 + -2 + 4 + 31 + -43 + (29 - 19)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11616, -11614, -11612?\nAnswer: -11610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 10 - 6 = 0. Let v be (10\/l)\/((-10)\/(-20)). Put -4, -3, v in decreasing order.\nAnswer: -3, -4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 12*q**3 + 3*q**2 + q - 7. Calculate x(-2).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 1039 divide 55576541?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 134 divided by -16179.\nAnswer: -134\/16179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-13 - 7*b + 13)*(2*b**3 + 2*b**3 - 2*b**3 + (0 + b**2 + 0)*(2 - 2 - b)) in the form q*b + s*b**3 + k*b**4 + t*b**2 + g and give k.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h + 7. Suppose -2*n + 23 = 3*q, 2*n + 2*q - 4*q - 18 = 0. Suppose v = x, -3*x + 0*x + v = -n. Determine z(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 75273 and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 621 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 PM and 7:03 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 8 + 3)*(4 - 3 + 1)*(4 - 1 - 1)*(1 - 1 + 2*d) as k*d + i and give k.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38190 is divided by 31.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 12:47 PM?\nAnswer: 12:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**7)**20)**(1\/14) assuming i is positive.\nAnswer: i**(80\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x**5 + 1396*x**4 + 22538*x**3 + 76392*x**2 - 202761*x - 800604 = 0. Calculate x.\nAnswer: -9, -7, -3, 3, 1412","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.108844 * -32.\nAnswer: -3.483008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 419 a factor of 75839?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-56)\/(-9) - ((-38)\/(-9) - 4). Let b = u + -4. Suppose -b*i + 3163 = 5*x, 3*x + 0*x + i - 1897 = 0. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 5640 and 5635 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*l + 4*l - l + (22 + 40 + 9)*(2*l + 4*l - 4*l) - 4*l + 3*l - 7*l to o + z*l and give z.\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, 7, -1, -25, -71, -145?\nAnswer: -253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**2 + u - u)*(19*u**3 - 194*u + 194*u) + 0 + u**5 + 0.\nAnswer: -37*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19, -20, -25, -34, -47, -64, -85?\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.227 - -6.102.\nAnswer: 6.329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*h**3 + 142*h**2 - 142*h**2 + (1 + h**2 - 1)*(-h + 3*h - 3*h).\nAnswer: -5*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times -90.899677\nAnswer: -45.4498385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 444*x - 291*x**3 + 1554*x**3 - 445*x.\nAnswer: 1263*x**3 - x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -46 - -66. Let i = -137 - -141. Solve i*o = 8 - g for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46637754 is divided by 54.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 488*v**3 + 26*v**2 - 26*v**2.\nAnswer: 488*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 100 and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12567*n - 102333 = 12556*n. What is the hundreds digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 12, 20, 28?\n\"Answer: 8*y + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(49)*4)\/(sqrt(343)*-3))**2.\nAnswer: 256\/63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*x**5 + 6*x**4 + 4*x**3.\nAnswer: -2*x**3*(x - 1)*(5*x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 578*t**2*x + 96*t**2 - 69898*t*x + t - 6*x + 563505 wrt x.\nAnswer: 578*t**2 - 69898*t - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/((n*n\/(n\/(n\/(n\/n**0))))\/n*n)*n**(-1)*n)\/(n**(-1\/4))**(-11))**(3\/28))**(-11\/3) assuming n is positive.\nAnswer: n**(121\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -888.\nAnswer: 1\/222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 247 - 202. Solve -25*k - 159 + i = 0 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**2 - 1 - 10\/3*o - 2\/3*o**3.\nAnswer: -(o + 1)*(o + 3)*(2*o + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9511 - -9551) + (0 - -2 - -1)\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-612)\/(-10)*(-130)\/(-13). Let s = 1268 - u. Let k = s + -405. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*t - 13*t + 6 = 0. Suppose 2*l + 7 - 22 = -t*k, 4*k + 65 = 3*l. Suppose g = 41 + l. Calculate the highest common factor of g and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2209009 to two decimal places.\nAnswer: -0.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1410, -1421, -1446, -1491, -1562, -1665, -1806, -1991?\nAnswer: -2226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of 4 + 0*k**2 + 2\/3*k**3 + 4\/15*k**6 - 4*k + 1\/6*k**4 + 0*k**5 - 1\/42*k**7. What is the third derivative of m(p) wrt p?\nAnswer: -60*p**2 + 192*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 689 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a century in months?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3546\/13363 at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -247549452800 take away 359?\nAnswer: -247549453159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1287373 less than 1287615?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16 - (-38 + 41)) + -20.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6339157 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 + 370136.\nAnswer: 370134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 2*i - 132630 = 0, -3*k = -8*k + 4*i - 165789. Let b = -56157 - k. What is b rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 289924.\nAnswer: 2, 72481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 4 + 2 + (1 - 1 + 2)*(-2 - 1 + 4))*(-2*m + 0*m + m + (m + 0*m - 7*m)*(0 + 3 - 4) + 3*m - 3*m + m) to v*m + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 k when two letters picked without replacement from {x: 2, r: 1, a: 1, h: 3, k: 3, v: 8}.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, 1, 35, 4\/11, -1.2, -0.3?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21, 6, -9, -24, -39?\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 3 and 5.5241.\nAnswer: 8.5241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, w: 3, c: 4, i: 8, r: 3}. What is prob of sequence rii?\nAnswer: 28\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -177 + 169. What is the remainder when (-4)\/w + 1336\/16 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.377637323 to 3 decimal places.\nAnswer: 0.378","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 614547800 divided by 16609400?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2222, -8, -41, 2\/17 in decreasing order.\nAnswer: 2222, 2\/17, -8, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3823 is divided by 483.\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 10 - (1 + -36 - (-373 - -335)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uauuuuuuuaauazbbkku. Give prob of picking 2 k.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 1 + t**2 + 1 - 2*t - 3*t + 3*t. What are the prime factors of m(4)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 547433900 to the nearest 1000000.\nAnswer: 547000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 20 = -4*l, p - 5*p - 4*l + 8 = 0. Let w be 2 + p - 26\/(-78). Which is the second biggest value? (a) -2\/9 (b) w (c) -2.3 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 10148878 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 - 0. Suppose 0*t + 6 = x + 2*t, 0 = -2*t + v. Suppose 4*n - 8 + 0 = x. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/((23\/(874\/(-95)))\/((-9)\/(-6))).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 194 = 2*h - 4*m, -4*h + 0*h - 3*m + 344 = 0. Calculate the remainder when 261 is divided by h.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 199305, 398804, 598303, 797802, 997301, 1196800?\nAnswer: 1396299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -58*n + 570 - 1137 + 566 to o + h*n and give h.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 3*j - 12. Let n be f(4). Suppose n = -a + 3 - 0. Suppose a = v - 1. What is the second biggest value in 1, v, 2\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2456, -11477, -26512, -47561, -74624?\n\"Answer: -3007*r**2 + 551","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 + -2027014.6.\nAnswer: -2027014.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 14 = -6. Let h = -15 + 24. Let r be h\/(-10) + 2\/4. Sort p, -2\/9, r.\nAnswer: r, -2\/9, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3, -3, -11, -27, -51, -83, -123?\n\"Answer: -4*b**2 + 12*b - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7 - 7f6e?\nAnswer: -7f67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of -q**6\/480 + q**5\/80 - 2*q**3\/3 - 21. Let z(m) be the third derivative of t(m). Factor z(l).\nAnswer: -3*l*(l - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, j: 3}. Give prob of picking 1 h and 2 j.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1765 and 668229.\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 2*f. Let r(j) = -15*j + 6. Suppose 2*q = 3 - 5. Let c(i) = -i + 1. Let w(y) = q*r(y) + 6*c(y). Give w(x(n)).\nAnswer: 18*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/(-1))\/((-1)\/(-2)). Let c(d) = -d**2 + 6*d - 6. Let r be c(i). Suppose -3*o - 10 = -r*n, -o - 4 = 2*n + 3*o. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4309252526?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21614265 is divided by 3087744?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 8) to base 5.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 w when three letters picked without replacement from {v: 3, z: 6, w: 4}.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 248 is divided by 45?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 255.9238 years in millennia?\nAnswer: 0.2559238","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 896 to the power of 1\/2, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(17) + -4 + sqrt(17) - sqrt(17))*-4 - 5*(4*sqrt(17) + sqrt(17) - sqrt(17)) - (sqrt(272)*-2*5 + -3*(2 + sqrt(272))))**2.\nAnswer: 1232*sqrt(17) + 13812","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 44.8 times 0.2\nAnswer: 8.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the third derivative of w**9\/72 - w**5\/10 + 16*w**2. What is the third derivative of c(h) wrt h?\nAnswer: 840*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 9) in base 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 538*y - 4*y**2 + 3*y**2 - 501*y + 2*y**3 in the form m*y**3 + b*y + q + d*y**2 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of -g**5\/20 - 2*g**4\/3 + g**3\/6 + 5*g**2 - 172948*g. Let v be (-2)\/8 + 62\/(-8). Calculate m(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/9 (b) -1 (c) 3 (d) 82 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16.98 - -0.02. Which is the nearest to m? (a) 0.1 (b) -1\/2 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.6*111\nAnswer: 66.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2388.412l to millilitres.\nAnswer: 2388412","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*2*-1*(sqrt(891) + 5 + sqrt(891)*2 - (sqrt(891) + (sqrt(891) - (sqrt(891) - ((sqrt(891)*-1 + sqrt(891))*-4 - sqrt(891)))))))**2.\nAnswer: 1080*sqrt(11) + 32176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (3 - (23 + (10 - 12))).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -43*a - 11. Let o be (6 - (-360)\/(-5))*2\/(-6). Let p(j) = -11*j - 3. Let r(q) = o*p(q) - 6*t(q). Let l(u) = -2*u. Calculate l(r(x)).\nAnswer: -32*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4.1 in 4, -24, -0.1, 0.02?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) + (sqrt(28) + sqrt(28)*1 + sqrt(28))**2 + sqrt(343) + -1.\nAnswer: 8*sqrt(7) + 251","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4452*l**5 - 102388*l**4 + 636452*l**3 - 537548*l**2 - 968*l = 0. What is l?\nAnswer: -2\/1113, 0, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*d**2*h*z - 1567*d**2*h + 2*d*h + 35*d*z + 7*h*z + 10*z wrt d.\nAnswer: 22*h*z - 3134*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 319 - 314. Suppose 23*h - 3924 = d*h. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**2 - 15 - 15*t + 6*t + 3. Give n(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172038048 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.16482 + 2.17. What is j rounded to 3 dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kv when two letters picked without replacement from {p: 1, k: 2, z: 1, q: 2, v: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -17*g**3 + 30*g**2 - 68*g + 61. Is f(-13) a multiple of 253?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*i - 14865 - 3*i + 14863 to w*i + f and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 4*r = -3. Suppose -y - 2*u = -2*y + 10, 0 = -r*y + 4*u + 28. Solve 4*i = -2*d + 18, -3*i = -2*i + 4*d - y for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -252338 + -76?\nAnswer: -252425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 7*j - 23. Let u be f(4). Suppose 0 = -k + u, 2*p - 2*k + 7 = 3*k. What is the remainder when 96 is divided by 96\/p - (-3)\/9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 240\/400 - (-44)\/10. Let l = -13 + 33. Suppose 16 = q + 4*k, 4*q + q = s*k - l. Solve q = -0*m - 4*m - 20 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 131703 (base 11) in base 2?\nAnswer: 110010100100110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87*s + 61249 = -64*s. Suppose -v + 5*c = -729, c - 2332 - s = -7*v. What is the hundreds digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 13642 or 13643?\nAnswer: 13643","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1430 (base 5) to base 2\nAnswer: -11110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2506 + 85*t**4 - 2506)*(-3 - 2*t + 3).\nAnswer: -170*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 383*w - 1250. Calculate n(3).\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 PM and 12:24 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 180532687?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 46056 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.43041+4.8\nAnswer: 5.23041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*g + 4325 - 4955. Sort 4, g, 1, -3 in decreasing order.\nAnswer: 4, 1, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 23956614?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-6\/11)*z*z*z**(-8\/3))**(-4\/7)\/((z**(3\/2)\/z*z**(2\/5))\/(z*(z*z**0*z)\/z*z**(-5)\/z)) assuming z is positive.\nAnswer: z**(-12479\/2310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 2*z = -4. Suppose 0 = d + 4*g + 6, z*d + 0*d + 2*g = -18. Let q = 1 - d. What are the prime factors of q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*(((m\/(m**(-3)\/m))\/m)\/m*m)\/m*m)\/m*m*m**(2\/11)*(m*m**(1\/3))**6*(m*m**(-2)*m)\/m*m**(-1)*m**0*m**(-5) assuming m is positive.\nAnswer: m**(68\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 3 + 13 = 0. Suppose -8 = -h - 2*f, 0 = -2*h - h - o*f + 20. Does 16 divide (2 - 1 - h)*(-624)\/20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -4*v**5 - 24*v**4 - 4*v**3 + 96*v**2 - 64*v = 0.\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 369229379 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*y - 10*y - 4823 = 6*y + 8*y for y.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13580 a multiple of 97?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5381 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*q*u**3 + 91674*q*u**2 + 3*q*u - 237352*q with respect to u.\nAnswer: 6*q*u**2 + 183348*q*u + 3*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cdr when three letters picked without replacement from {d: 2, r: 3, m: 1, c: 4}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 + 0. Calculate the least common multiple of 35\/4 - (-4)\/l and (-28)\/(-5) - 4\/(-10).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-135)\/180*(-10)\/(-8)*4*2\/(-120)\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/(c*c**(8\/5)))*c*c**(-1\/44))\/(c\/c**38*c**(-28)*c) assuming c is positive.\nAnswer: c**(14867\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + m + 20 = 2*h, 5*h = 4*m + 53. Suppose -p + 4*i + 17 = 0, 22*p - 4*i - 14 = 24*p. What is the greatest common divisor of p and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 14. Suppose -3*p = q + 3, -2*q - 4*p + 1 = 3. Suppose 0 = o + q*d, 0*d + 3*d + 6 = o. What is the smallest common multiple of o and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -2*v - 15. Let s = 8 + v. Suppose -s*n = -3*b - 37 - 172, -5*b + 139 = 3*n. What is the remainder when n is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 12:59 AM?\nAnswer: 11:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(576) - (sqrt(576) + (sqrt(576) - -3*sqrt(576)*-2 - sqrt(576)))))\/((2*sqrt(1536))\/((sqrt(18) + sqrt(18)*1)\/sqrt(9))).\nAnswer: 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 116479 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -42003131 (base 6) to base 12\nAnswer: -4a64a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 31*y. Let v(g) = 1010*g**2 - 2. What is v(o(j))?\nAnswer: 970610*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 328600631?\nAnswer: 16421, 20011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (54\/(-81))\/((-2)\/72). Calculate the greatest common factor of i and 772.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 360 and 202995720?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 570263588*q**2 - 443862033*q.\nAnswer: 1140527176","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(228) - (sqrt(228) + (sqrt(228) - (sqrt(228) + (sqrt(228)*-2 + sqrt(228) - sqrt(228))*-2)))) + -6*1*sqrt(228))\/(((sqrt(192)*1)\/sqrt(4))\/sqrt(4)).\nAnswer: -2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -0.4 (b) 44\/1755 (c) 542\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 - 3*v**2 - 2*v - 2. Let t(i) = i**3 + 2*i**2 + i + 1. Give 3*o(s) + 4*t(s).\nAnswer: s**3 - s**2 - 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 - 2)*(-2 + 0 + 3)*(-3*y + 5*y - 3*y).\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*a = -2 - 25 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that h**4\/3 - 91*h**3\/3 - 7402*h**2\/3 + 22828*h\/3 - 5112 = 0.\nAnswer: -54, 1, 2, 142","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 64372184*q**4 + 349*q**2 - 322616 wrt q?\nAnswer: 1544932416*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -36970, -73927, -110884, -147841, -184798?\n\"Answer: -36957*p - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -2*b**2 - 12*b + 16. Let o be s(-7). Let x(z) = -z**2 + 6*z**2 + 4*z - 4*z**o + 2. Let u = -3 + -3. What is x(u)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 14 = 2*z. Let f = z - 2. Let y = 4 + f. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 26780 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -5*d + d**2 + d**3 - 4 + 0*d**3 + 0*d**3. Let v(k) = 7*k + 165. Let t be v(11). Let h = -245 + t. Calculate o(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 2 (b) -0.2 (c) 1.8 (d) 0.012\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.255, 0, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 22*n + 32 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1449 and 54248145?\nAnswer: 483","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -96, -1, -136, -2079 in decreasing order.\nAnswer: -1, -96, -136, -2079","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 166656 > 166772?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of -i**5\/20 - 7*i**4\/12 - 4*i**3\/3 - 5*i**2\/2 + 5*i. List the prime factors of v(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1701995?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*y - 4*y + 5*y)*(0 + 0 + 1) - 2*y - y + 2*y)*(22*y**3 - 38*y**3 - 57*y**3).\nAnswer: 146*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 21*l**2 + 3*l - 134. Let t(v) = -84*v**2 - 13*v + 546. Calculate -9*s(c) - 2*t(c).\nAnswer: -21*c**2 - c + 114","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -927.274 or 11?\nAnswer: -927.274","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.535 + 0.534999698. Round q to 7 dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -a**5\/9 - 23*a**4\/3 - 1289*a**3\/9 - 1133*a**2\/3 - 242*a = 0?\nAnswer: -33, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3883 and 1078?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 3*x. Let k(p) = -2260661*p. Calculate t(k(v)).\nAnswer: -6781983*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 657834577.\nAnswer: 657834577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 6*t = -h - 16, 12 = 4*t - h. Suppose -5*r + 17 = -t*r + 3*n, 4*n = 4. Solve 4*d - r = -c, -3*c + c = -5*d + 24 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 t when three letters picked without replacement from {m: 2, t: 2}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 k when three letters picked without replacement from {a: 2, k: 1, w: 3, t: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*p + 541 - 475. Let q(b) be the first derivative of -b**4 - b**3\/3 - b**2 - 1. Calculate the remainder when q(-2) is divided by p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4157441747 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 5*j + 4*j = -634, 0 = -4*g - 3*j + 516. Calculate the lowest common multiple of g and 42.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 13\/5 of a decade?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -282*a - 9 = -273*a. What is the smallest value in a, -1\/91, 1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -201 + 232. Calculate the remainder when c is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1\/11244?\nAnswer: -1\/11244","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 40, 37, 34, 31, 28?\n\"Answer: -3*p + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 6) in base 11?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112*u = -283 - 359 - 30 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 5*(-5 + -4 + 5 + sqrt(76) + sqrt(1539) + 1)**2.\nAnswer: -330*sqrt(19) + 11543","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 0.0193?\nAnswer: -2.9807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -44*k**2 + 2*k + 7. Let a be (21\/35)\/(2\/(-10)). Let d(f) = 2*f**2 - f - 1. Let s(x) = a*d(x) + l(x). Solve s(j) = 0.\nAnswer: -2\/5, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 828 = -10*b. Let o be (-204 + 4)\/((-272)\/b + -2). Round o to the nearest one thousand.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uydmq. Give prob of sequence quqq.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -17\/4*b**3 + 0 + 27*b - 6*b**2 + 1\/4*b**4 = 0. Calculate b.\nAnswer: -3, 0, 2, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 247019?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 429 by -13.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 113093?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24 + -19. Which is the third biggest value? (a) y (b) 2 (c) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 510231 + 3?\nAnswer: 510234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - -20. Let u = p - 22. Calculate the smallest common multiple of 6 and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28 - 366*z**2 - 28.\nAnswer: -366*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (36 - 36 - 8*w**2)*(-w**2 - w**2 + 4*w**2)*(0 - 3 + 4 + (3 - 2 + 0)*(3 + 0 - 4) - 3 - 1 + 3 + 6 - 8 - 10).\nAnswer: 208*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 739 = 125*d + 23*d - 1185 for d.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -26 in 4, 0.1, -1, -3\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 18 - (1 + (15 - (2 - -6)))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 2*d**2 - 17*d - 126. Let h be 3154\/(-664) + ((-1)\/(-3))\/(4\/(-3)). Determine z(h).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-28)\/(-6))\/(4\/(-2)) - -3. Factor 0 + 1\/3*i + y*i**2 - i**3.\nAnswer: -i*(i - 1)*(3*i + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-16)*-3 - (-494)\/(-624). Let h = -11\/12 - f. Which is smaller: h or -22?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13*p**3*u**3*y**3 + 6*p**3*u**2 + 3*p**3*y**3 - 490*p**2*u**3*y**3 - 2*p*u**2 + u**2 wrt u?\nAnswer: -78*p**3*y**3 - 2940*p**2*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 13*q**2 - 25*q + 17. Let a be (10\/15)\/((-1)\/(-3)). Let s(d) = 4 - 2*d**2 + 5*d**2 - 9*d - 9*d + 12*d. Let t(u) = a*f(u) - 9*s(u). Determine t(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3090 = 48*i - 42*i. Let m = 1270 - i. What are the prime factors of m?\nAnswer: 5, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.0498548 to three decimal places.\nAnswer: 1.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -137130000 to the nearest one million.\nAnswer: -137000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17*d**2*w**2 - 20202*d**2*w + 11700*d*w**2 + 2*w**2 + 13*w wrt w.\nAnswer: 34*d**2 + 23400*d + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes after 4:44 PM?\nAnswer: 2:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -2*m**4\/13 + 637152*m**3\/13 - 67660445184*m**2\/13 + 2394999331659776*m\/13 = 0.\nAnswer: 0, 106192","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 11202 (base 3) to base 16\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 2*b**2 + 99*b - 411. Let r be l(-53). Which is greater: r or -140?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 268821, 268797, 268773?\n\"Answer: -24*w + 268845","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*g + 22256 + 17833 = 0. List the prime factors of g.\nAnswer: 23, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -152 = -5*s + s. Calculate the remainder when (1 - 954\/(-16)) + 6789\/18104 is divided by s.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -461, -5, -8, -17 in decreasing order.\nAnswer: 5, -5, -8, -17, -461","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 93 and 14793.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -3*q - 4*j + 16, -5*q = -4*j - 16. Solve q*t - 30*t = 52 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -110010 (base 3) in base 5?\nAnswer: -2302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/62 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1532?\nAnswer: 2, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -404 (base 8) in base 15?\nAnswer: -125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 441 and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the second derivative of z**6\/2 - z**5\/4 - 5*z**4\/4 + 5*z**3\/6 + 2*z. Factor f(l).\nAnswer: 5*l*(l - 1)*(l + 1)*(3*l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.77 - 175.\nAnswer: -172.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/(3\/1))\/(40*(-133)\/665)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 7.3886, -1, -2, 2\/21, -10, 5 in increasing order.\nAnswer: -10, -2, -1, 2\/21, 5, 7.3886","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 n when three letters picked without replacement from lzznzznnlllnzn.\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1315532?\nAnswer: 2, 328883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 419 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -679 - -679.00001845. Round q to 7 dps.\nAnswer: 0.0000185","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 232*v**5 - 60*v + 2 wrt v.\nAnswer: 4640*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 15124552610 - -21456.\nAnswer: 15124574066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15 or -10017348?\nAnswer: -10017348","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than 17\/542101?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21544, -20300, -18228, -15328?\nAnswer: -11600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25612 = 109*a + 508*a + 57*a for a.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the third derivative of -b**4\/24 + 11*b**3\/3 - 4*b**2. Let x(a) = a - 15. Let j(z) = -5*h(z) - 7*x(z). Let f(l) = l + 2. Calculate -5*f(m) - 2*j(m).\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 + 3149*5\/(-5250). Let g(r) be the third derivative of -4*r**2 + 0*r**3 + 0*r**5 + 0*r**4 + x*r**7 + 0*r**6 + 0*r + 0 - 1\/1680*r**8. Factor g(k).\nAnswer: -k**4*(k - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 254 = -5*u + 281, 8*u - 55 = -3*u for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.37743 centuries in decades?\nAnswer: 153.7743","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8808 = 4*v - 4*w, -3*v = -w - 4546 - 2068. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 4 = -p, 12*p - 8*p + 16 = -3*y. Solve 15*h - 13*h + 32 = -4*n, -n - 5*h - 26 = y for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 81.4695 to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 117 = -3*b, -5*y = b + b - 106. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/z**(-8))*z)**(4\/23)\/(z**(6\/7)\/z**(-6\/17)) assuming z is positive.\nAnswer: z**(-6644\/2737)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4151430*g + 4802411.\nAnswer: 4151430","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/17, -0.05, 1, 3, 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -2*k**5 - 106*k**4\/3 + 3694*k**3\/3 - 7218*k**2 + 18080*k\/3 + 22792\/3 = 0?\nAnswer: -37, -2\/3, 2, 7, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-270)\/((-1)\/((-8)\/((-40)\/5))). Calculate the greatest common divisor of h and 702.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*s + 1. Let d be (-18)\/(-4) + 1\/s*1. Let r be (-9)\/6*(-8)\/6. Put r, d, -3 in descending order.\nAnswer: d, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 2*l**2 + 7*l + 67. Determine w(-4).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/60 and -93\/1210?\nAnswer: 7260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 4 = 2*w, 2*m + 0*w = 3*w + 9. Let a = 14 - 10. Let z = a - m. Is z < -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 + 2*p**2 - 220*p + 907. Let u be n(4). Sort -2, -1, u, 1, 2.\nAnswer: u, -2, -1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of -15*h**4\/4 + 3050*h**3\/3 + 2045*h**2\/2 - 1020*h - 3911. Let u(q) = 0. What is q?\nAnswer: -1, 1\/3, 204","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**8)\/((w\/(w\/w**(-2\/13))*w*w)\/w)*w**(-1\/11)*w**(3\/4))**(-2\/69) assuming w is positive.\nAnswer: w**(4111\/19734)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + -4. Let v(f) = -8*f. Let y be v(l). Let x be (-4)\/y - (-18)\/(-4). Is x less than or equal to -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 8 + -19?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the first derivative of x**2 + 6*x + 2. What is the units digit of r(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a gram in milligrams?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -71 - -75. Suppose 0 = 4*k + f - 12, -3 - 9 = -4*k + d*f. Suppose -3*s + 250 = -2*q + 6*q, k*s = -5*q + 314. Is 32 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14 + -10 - 9) + -15 + 11 + (2 - 2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes before 3:49 PM?\nAnswer: 1:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 - 27*t**2 + 58*t + 6. Let b be (3 + -5)\/((-588)\/(-116) + -5). Let r be h(b). Calculate the greatest common factor of r and 48.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 divided by 4707634?\nAnswer: -37\/4707634","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35 is divided by (8 - -1)*(-22)\/(-33).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 10 = -3*l, -2*l + 673 = -5*t + 663 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -3.48 * 0.5\nAnswer: -1.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + j = 18, -3*f - 38 = -4*j - 31 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 92 + 91 + 33*u - 181 as d + c*u and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, k: 5, v: 11}. What is prob of picking 1 v and 1 q?\nAnswer: 11\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (111 + -22)\/(1\/5). Let q = 33 - -15. Suppose 43*d - q*d = -p. What is the tens digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 159, 286, 415, 546, 679, 814, 951?\n\"Answer: c**2 + 124*c + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dek when three letters picked without replacement from ukhduzkdedu.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 67.08552 hours?\nAnswer: 2.79523","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 551 - -86. Let u = q + -636.246. Round u to two decimal places.\nAnswer: 0.75","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.02 + 1.98. Let m be (20\/(-195) - (-5)\/15)*(-2)\/3. Let r = -7 + 10. Which is the closest to -1\/2? (a) r (b) m (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4492, -2639, -14518, -31145, -52520, -78643, -109514?\nAnswer: -145133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11*d**2 + 174*d - 177*d + 74*d**2)*(3*d**2 - 6*d**2 - d**2) in the form m*d + u*d**3 + w*d**2 + h + c*d**4 and give c.\nAnswer: -252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 + 3 - (5 - 60). Let q = 99 - z. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -246 - -54. Let o = q + 191.7. What is the fourth smallest value in 0.3, 0, 0.1, o?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a kilogram in grams?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.25 - -0.45. What is the third smallest value in -4, g, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 522 + 918 = 4*a. List the prime factors of a.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 3*q - 1 = 0, j = -3*q. Let o = 170\/7 - 166\/7. What is the second biggest value in -0.1, j, o?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (13\/((-1625)\/(-15)))\/((-2)\/5)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 39 - (27 + -19 + -13 - -18).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 581227.\nAnswer: -1\/581227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bebberpebbebb. Give prob of picking 2 b.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/390)\/(2\/(-8)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6140 divided by 5\nAnswer: 1228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 10121412 (base 5) in base 11?\nAnswer: 57181","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.6 - -0.6. Let s = 3.3 + g. What is the nearest to 1 in -5, 0.1, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, 12.331, -0.5, 1\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 12*k**2 - 283*k + 314. Let y be d(23). Solve y*o + 4*g = 151*o + 10, 4*o = -3*g + 5 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 t, and 1 p when three letters picked without replacement from {p: 1, b: 1, x: 1, w: 1, t: 1, h: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15405 + -200259\/13. What is the closest to 2\/9 in 5\/2, -0.3, -0.4, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 2, 5\/4, 13, 3, -3003, 1\/7?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five sixths of a millennium?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 2\/5, -2, 3\/2, 1095.\nAnswer: -2, 2\/5, 0.5, 3\/2, 1095","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 20.7? (a) -2\/7 (b) -1\/467 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 40 - (5 - (-52 + 14))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 15 = 5. Suppose -p + 3*k + 15 = 0, t*p + 4*k - 6*k = 23. Suppose p*s + 5*j = j - 16, -4*s = -4*j - 16. Which is greater: s or 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*2*sqrt(52) + sqrt(52))\/sqrt(4).\nAnswer: 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -182299492*g**4 + 454002419 wrt g?\nAnswer: -729197968*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2*h**2. Let m(v) be the first derivative of -35*v**2\/2 + v + 254. Give n(m(q)).\nAnswer: 2450*q**2 - 140*q + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 3*a = -5, 4*a + 17 = 5*q + 7*a for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -21*n**4\/2 + 925*n**3\/2 + 931*n**2 + 550*n + 92 = 0.\nAnswer: -1, -2\/3, -2\/7, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29096 is divided by 3120.\nAnswer: 1016","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1223 - -250. Does 98 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 59966 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1999, -2053, -2159, -2329, -2575, -2909, -3343, -3889?\n\"Answer: -2*a**3 - 14*a**2 + 2*a - 1985","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 9*m**2 - 21*m - 5. Let u(c) = 132*c**2 - 107 + 110 + 3*c + c + 7*c - 137*c**2. Let l = 3 + -6. Determine l*b(i) - 5*u(i).\nAnswer: -2*i**2 + 8*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -24 + 6*w + 24 + 8*w - w - 2*w + (-3 + 2 - 1)*(5*w + w - 4*w).\nAnswer: 7*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-3 + (sqrt(128) + 2*sqrt(128))**2 - (sqrt(128) + (sqrt(128) - 3*(-1*sqrt(128))**2))).\nAnswer: -16*sqrt(2) + 1531","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20318.\nAnswer: 2, 10159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9\/11 or -1?\nAnswer: -9\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 10 = -2*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104) + (sqrt(104) + (sqrt(104) - sqrt(104)*-2*-6) - sqrt(104)) + sqrt(104))\/sqrt(8) - (-4 + 4 + sqrt(13)*-1))*-2.\nAnswer: 16*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (5 + 6 - -2)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (-1 - -3 - (14 + -9)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-209)\/(-22) - 10)\/(5\/60).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the second derivative of 1\/40*o**5 + 0*o**3 - o**2 - 1\/80*o**6 + 0 + 1\/8*o**4 + 8*o. Let i(d) be the first derivative of v(d). Factor i(l).\nAnswer: -3*l*(l - 2)*(l + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dsbu when four letters picked without replacement from dbsbsbhbub.\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-3*(sqrt(12) + 1)*5*4)**2.\nAnswer: 57600*sqrt(3) + 187200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/6696 and -67\/4752.\nAnswer: 147312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 2 - 41*w**2 - 4 + 61*w**2 - 26*w**2. Let m be ((-18)\/21)\/((-1)\/(-7)). Let l(r) = 5*r**2 + 2. What is m*s(d) - 7*l(d)?\nAnswer: d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - -3 - (6 - 2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 4, p: 6, z: 3, i: 4}. What is prob of picking 1 i, 1 p, and 1 z?\nAnswer: 9\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 72*s**2 - 7*s + 84. Is y(-29) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 3*v + 2*v + 21 = 0, 0 = -5*p + 2*v for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -4*(-12)\/(-16)*-2. Suppose 0 = 9*i - 6*i - u. Suppose -b + 5*q = -24, 2*q - 20 = -4*b + 3*q. Solve 5*k - 2*x - 18 = i, 3*x + 23 = b*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n + 33957*n**2 + 33940*n**2 + 33900*n**2 - 101746*n**2 + 4*n.\nAnswer: 51*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 1 + 5. What is the third derivative of -4*p**r + 81 + 4*p**4 - 81 wrt p?\nAnswer: 96*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3903.\nAnswer: 3, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 - 1597*v - 1962630. What is y(-814)?\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4\/3, 1\/26, -3\/23, 0.4.\nAnswer: -2, -3\/23, 1\/26, 0.4, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -3*f**2 + 12301*f - 36882. Give n(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 81601235 and 3605.\nAnswer: 515","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25564 divided by -2.\nAnswer: 12782","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2830171 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - (-15)\/(-10)) + (1 - 3).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*3\/18)\/((-12)\/144).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -61486*z - 23557 with respect to z.\nAnswer: -61486","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1536655464 to the power of 1\/2, to the nearest integer?\nAnswer: 39200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2 - 6*n + 9. Let k be q(-7). Sort 0.05, k, -2.\nAnswer: -2, 0.05, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-377)\/104 + 4)\/((-9)\/(-4))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 856.2? (a) -6 (b) 4 (c) 0.2 (d) 19\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -355, -752, -1201, -1702, -2255, -2860, -3517?\n\"Answer: -26*x**2 - 319*x - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t + 14. Let x be m(-10). Let w = 6 - x. Let k(p) = 0*p**2 - p**2 - p**w. Let y(v) = -v**2. Determine y(k(u)).\nAnswer: -4*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -26*((-2)\/4)\/(4\/(-4)). Let y = 35 - g. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -39*m - 43*m - 71*m + (-3*m + 7*m - 2*m)*(-3 + 2 + 2) to b*m + j and give b.\nAnswer: -151","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 393777, 787550, 1181327, 1575108, 1968893?\nAnswer: 2362682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from kkkk?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1814 divided by -6\nAnswer: 907\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -11*g - 1. Let q be m(-2). Suppose -5*i + 4*z + 39 = 0, 0*z - 38 = -5*i + 3*z. What is the greatest common divisor of q and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -17 and -77?\nAnswer: 1309","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 16 = 0, 2*x - 4*x = -5*y - 172. Let -8*a**2 + 40*a**4 - 48 + 16*a**4 - 51*a + 65*a**5 - 61*a**5 + x*a**3 - 49*a = 0. What is a?\nAnswer: -12, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/((x**(-3)\/x)\/x))\/x*x**(-5)*x**(4\/7)\/(x\/x**(-1\/3)))**(-1\/54) assuming x is positive.\nAnswer: x**(8\/567)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1314.171t?\nAnswer: 1314171","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 9*s - 27. Let p(x) = -2*x - 4. Calculate 4*p(h) + q(h).\nAnswer: h - 43","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 6*j = j + 78 - 12, -7*v + 2882*j - 2884*j + 48 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 83 + 863*z + 433*z + 4 - 180 + 81 in the form s*z + c and give c.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 117015 (base 11) to base 13.\nAnswer: 662a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fw when two letters picked without replacement from ddcfinfwc?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 635192 times 5?\nAnswer: 3175960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a**(-1\/42)\/a))\/(a\/((a*a**(1\/7))\/a)))\/((a**(-1\/13)\/a)\/(a*a\/((a**11*a)\/a*a))) assuming a is positive.\nAnswer: a**(-605\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 80336 and 152.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2480 and 762600?\nAnswer: 1525200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 75088 or -224?\nAnswer: -224","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/4 - 2\/8. Let i = -3.4 + 3. Let u be (-104)\/32 + (-1)\/(-4). Which is the nearest to m? (a) u (b) -5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**2)**(30\/13)\/((r\/r**(13\/4)*r)\/r**0))**(-1\/4) assuming r is positive.\nAnswer: r**(-305\/208)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(48) + (-4*sqrt(48) - sqrt(48)) + sqrt(12))\/sqrt(6) - (3 + (3 + sqrt(2) - sqrt(2)) + 2)**2) + -1 + 4.\nAnswer: -61 - 7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 6070747475?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 35*b - 85. What is a(1)?\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(153)\/(sqrt(54)\/sqrt(6)) + 1 + sqrt(1088).\nAnswer: 1 + 9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 5 = -1. Suppose -x*f = 4*a + 12, 2*a + 18 = f - 2*a. Solve 2*n = f - 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 264292?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 178*w**3 + 17 + 14 - 36.\nAnswer: 178*w**3 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -20*a**2 - a. What is v(-1)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1400210240 (base 5) to base 4\nAnswer: 31130000022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 16 = -4*f, 0 = x + 5*f - 1236 + 1256 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 295.59 rounded to the nearest 10?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of o*r**2 + 41*o - 61*r**2 - r wrt o?\nAnswer: r**2 + 41","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -402782*a**6 + 17*a**2 - 5*a - 34.\nAnswer: -48333840*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of -7*l**2\/2 - l - 1. Let d be k(-1). Solve 0*i - 2*i - d = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 459 = -3*k + 1089, -5*k + 2580 = 4*r. Let x be (-9104)\/(k\/(-1000) - 7\/(-14)). What is x rounded to the nearest 10000?\nAnswer: 570000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18 + -18. Let r = 21 - s. What is the remainder when r is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 186\/((-6)\/(-828) + (1 - 1)). Calculate the highest common factor of k and 138.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c**2 + c**2 + c**2)*(2*c - c + c) + 2*c**3 + 0*c**3 + 3*c**3 + 1878*c - 1878*c - 270*c**3.\nAnswer: -261*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 249.5 and -5.\nAnswer: -1247.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 4*q - 3*c - 10835, -2*q + 5405 = 3*c. What are the prime factors of q?\nAnswer: 2, 5, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a meter in millimeters?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 2*t - 12 = 0. What is the nearest to 0.3 in 2, -1\/3, t?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4834812 or 4834809?\nAnswer: 4834812","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + -4. Suppose 2*s = 0, 5*s + 18 - 3 = -3*y. Let m be (-3)\/(-24)*(y + 2). Which is the closest to g? (a) -5 (b) m (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0, 0.4, -28?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.58 + -2.08. Let l(f) = f**2 + 1. Let k be l(0). Let n be (-15)\/9 - 1 - -2. Which is the nearest to k? (a) n (b) 0.3 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59192.\nAnswer: 2, 7, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14960)\/1632)\/((-15)\/27).\nAnswer: 33\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + o + 50 = 4*t, t = o + 14. Let z be 1\/(t\/(-8323)) - (-4)\/(-18). Let w be 2\/(-8) - (z\/(-20))\/(-5). Calculate the greatest common divisor of 90 and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.4339 - -0.4339. What is the nearest to h in 2, -274, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 - 10. Let g = x + 41. Solve -f - 1 = w + f, 3*f = w - g for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/920370 and -161\/198.\nAnswer: 2761110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-2))\/18*-10*-3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h - 12*h - 6*h)*(1 - 1 - h) + 7923*h - 7923*h - 316*h**2.\nAnswer: -299*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*t - 401 = 10*t + 2*o, 2*t + 5*o = 280. What is the least common multiple of 12 and t?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1742 * 784\nAnswer: 1365728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 - 8*n**2 + 9*n + 4. Let j be o(-9). What is the first derivative of -j + 3*u**2 + 2 - 2 + 5 wrt u?\nAnswer: 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 4*g**2 - 487440*g + 14849859600 = 0.\nAnswer: 60930","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22414, -45686, -69818, -94810, -120662, -147374, -174946?\nAnswer: -203378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**1)**(-4\/39)\/(j**7\/(j*j**(-3\/2)))*(j*j**(1\/3)*j)**(1\/3)\/(j**(-2)*j*j\/(j**(1\/13)*j*j)*j) assuming j is positive.\nAnswer: j**(-1345\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 39*v - 25*v + 45512*v**3 + 1 + 3*v - 45515*v**3.\nAnswer: -3*v**3 - 61*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*c*h*j + c*h + 2*c*j**3 + 17*c*j + 4*c + 2168*h*j**2 + 25*h*j - 7*j**4 wrt j.\nAnswer: 12*c*j + 4336*h - 84*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 8, j: 2}. What is prob of sequence jjaa?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -322 = -2*f - 106. Does 27 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 3*d**3 - 162*d**2 - 1440*d - 2976 = 0.\nAnswer: -4, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, -1, 0.5 in decreasing order.\nAnswer: 2, 0.5, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1298 - 1291. Let t = 0.3 + -0.2. Let y = -127\/4 + 32. What is the second biggest value in t, y, o?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:46 PM and 9:27 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(0 + (-1)\/(-7)). Let y(p) be the third derivative of p**6\/120 - p**5\/10 - p**4\/3 + 2*p**3\/3 - 10314*p**2 - 1. Give y(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 2478?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 18 = 8*y. Let i(t) = t + 6. Let g be i(-5). Let w be 9 + -3 - (g + 1). Solve 4*j - z + y*z = -8, 3*j + w = -2*z for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -8*l**5 + l**4 + 7*l**3 + 7*l**2 - 8*l + 1. Let f(s) = -2*s**5 + 2*s**3 + 2*s**2 - 2*s. Let a = -3 + -6. Let o(k) = a*f(k) + 2*b(k). Factor o(v).\nAnswer: 2*(v - 1)**2*(v + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) 0.3 (c) -4\/3939 (d) 0.32395\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1067*r**3 - 566*r**3 - 4*r - 2*r**2 + 829*r**3 to the form s*r**3 + a*r**2 + x + g*r and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*l**3 - 316*l**2 + 15*l**3 - 305*l**2 + 597*l**2 - 5*l**3 + 2*l**3.\nAnswer: 15*l**3 - 24*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -4*b, -2*c = 4*b + 3*c. Let r = b + 7. What are the prime factors of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -173357728.\nAnswer: 1\/86678864","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -419.3376377 to 2 dps.\nAnswer: -419.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 471*k - 222*k - 236*k = 0. Solve -6*z + 10*z + v = -8, k = 3*v - 12 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002866305 rounded to five decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -33337, -34207, -35077, -35947?\n\"Answer: -870*u - 32467","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 529 (base 16) to base 14\nAnswer: 6a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 188 = 63. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 60634?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(304) + sqrt(304)*-2)*5*2 + 3 - (2 + sqrt(304) + 3 + -2 + (1*sqrt(304) - sqrt(304)) + sqrt(304)))**2.\nAnswer: 43776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4283 - 34?\nAnswer: -4327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, a: 2, g: 4, e: 9}. What is prob of sequence aee?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7438444301 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (78 - 3)*3\/72.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -904351 - -904351.2500002. Let l = -1 - -1.25. Let v = l - o. Round v to 7 decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 1 = -5*u, -w - 3*u + 2 - 7 = 0. Solve 25 = w*n - 3*i - 2*i, 2*n + i = -5 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 - 15*n + 18. Let s be t(13). Let m(q) = -20*q + 15. Let d be m(s). Let r = d - 71. What is the tens digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -2*x**2 - 67*x + 200. Give l(3).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l. Suppose 0 = -a - 2*a + 21. Let s(m) = 6*m + 4*m + 6*m - a*m. Calculate s(v(q)).\nAnswer: -9*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1067 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 - 5*y**2 + 3. Let r be t(5). Suppose 5*m - 442 = r*m + 5*w, 3*m + w = 629. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5818118 divided by 2?\nAnswer: 2909059","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 11413627783 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -29 - -1278349016.\nAnswer: 1278348987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6308 + -6305. Put -134, -5, -2, m in increasing order.\nAnswer: -134, -5, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.2 + 0. Let d = -9954\/13 + 218143\/286. Let r = d - -16\/11. What is the nearest to 2\/5 in s, r, -3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**16)\/(g*g\/g**38*g*g)*g**17*g**(4\/19))**(-42) assuming g is positive.\nAnswer: g**(-28896\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -1) + 4 + (-2 - 8)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 893, 2, 4, -2 in increasing order.\nAnswer: -2, 2, 4, 5, 893","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*h - i + 23 = 20*h + 9*h, -3*i = 3*h - 30 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*n - 280 = 16*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*f**3 + 33*f**2 - 30*f = 0. What is f?\nAnswer: 0, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 93.68454 millilitres in litres?\nAnswer: 0.09368454","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0 and -3.2.\nAnswer: -3.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1336284538.5 and 0.\nAnswer: -1336284538.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -673 + 441. Let u = s - -229. Which is smaller: -38\/13 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -17, -37, -57, -77, -97, -117?\n\"Answer: -20*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3359, -656, 2049, 4756, 7465, 10176, 12889?\nAnswer: 15604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 2*p**3 - 2*p**2 - 6*p + 6. Let n be i(4). Suppose -4*w = -18 - n. Suppose 0 = -3*u - w + 471. Is u 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 -81\/52312 and 31\/14?\nAnswer: 366184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 339 and 207?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -557 - -566. Let h(k) = -4*k + 3. Let f be h(-4). Suppose -4*u + f = -5*c, 3*c = u - q - 1. Put -5, 1, c in descending order.\nAnswer: 1, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 3*l = 12021, -5*u = 81*l - 76*l - 9980. Calculate the least common multiple of 84 and u.\nAnswer: 56028","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*p**2 + 2 - 22*p**2 - 2.\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -5534, -22133, -49800, -88535?\n\"Answer: -5534*w**2 + 3*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.0635 + -0.1365. What is the third biggest value in l, 0.3, -1\/7, 0.95?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 144 + -96. Does 16 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1955?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5240.4 and 104.3.\nAnswer: -546573.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*a - 3*i - 8 = -3*a, -3*i = -4*a - 28 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (1 - 2) + (75 - 71).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*c = 2*c. Suppose -y - 11 = -21. Solve 2*j - y = 4*m + m, 3*m - 4*j + 20 = c for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2 + 10*f + 10. Let r be y(-10). Let a = r - 8. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 + 2 - 105\/6. Let v = -51\/4 - j. Which is the closest to -3? (a) 1\/3 (b) v (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 8 = 3*u. Let q = 23 - 20. Suppose u*a = q*a + 93. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + 3 + 1 + (4711 - 4724)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3983066 is divided by 130?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 56 = 2*y - 18, 0 = -2*y + q + 73. Let r be 2 + 5 + y\/(-6). Solve 5*t - 3*d + 25 = 0, -5*t - r = 3*d - 6 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 23 + -14. Suppose 2*c + 1 = t. Is 5 less than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11 - 13 + 41 - 50*d - 11 as u*d + n and give n.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1.7 times 349\nAnswer: -593.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44 (base 6) to base 14.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzzzzzzz. What is prob of sequence zzzz?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 6 = -2*k, -15 = t + 2*t - 2*k. Let w = t + 7. Suppose 49 = i - 2*g, g + 240 = 4*i + w*g. Is i a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -331 (base 8) to base 2\nAnswer: -11011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1.928228 micrograms?\nAnswer: 0.001928228","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (3\/12)\/((-33)\/132)*-6\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - -2. Suppose -r + 8 = -m. Let f(a) = -a**2 + 8*a - 10. Let u be f(5). Solve 6 = -t - 4*k, u*t + 3*k + k = -r for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 7 = -18. Solve -y + 21 = 4*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-961)\/(-2170) - 160\/(-448). Factor 1372\/5 + 84\/5*g**2 - f*g**3 - 588\/5*g.\nAnswer: -4*(g - 7)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -2067*v**2. Let f(o) = -o**2. Determine w(f(j)).\nAnswer: -2067*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 6 - 9 = 0. Suppose 4*v = l*z + 27, 0 = -4*z + 4*v - 16 - 20. Let u(g) = 3*g**2 + 11*g + 5. Is u(z) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 953 - 949. Sort u, 0.4, -0.1, -0.5 in descending order.\nAnswer: u, 0.4, -0.1, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1460.672 + 16.972. Let y = -1526 - z. Round y to the nearest integer.\nAnswer: -82","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6883\/9 - (224\/126 + -2)?\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 676*b**2 + 707*b**2 - 1376*b**2.\nAnswer: 7*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1253167?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -261649 + 609*g**2 + 261649 - 55*g**3.\nAnswer: -55*g**3 + 609*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) -0.5 (c) 906 (d) -2 (e) 13 (f) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 4072915392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 444203, 444219, 444235, 444251?\n\"Answer: 16*a + 444187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8*(-10)\/920)\/((-6)\/12).\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4031472 by 6.\nAnswer: 671912","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -11*2\/8 + -16 + 19?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 3*m**2 + 4. Let a(c) = 7*c**2 + 7. Let s(o) = -4*a(o) + 7*u(o). Let r(z) = -2*z. What is r(s(d))?\nAnswer: 14*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 2*t + 3*t + 3*t - 10*t + 6*t + 5. Let q(k) = k**2. Calculate q(f(r)).\nAnswer: 16*r**2 + 40*r + 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-116660)\/(-80) - (-2)\/(-8). Suppose 878 + k = 8*n. What are the prime factors of n?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 626 = -2*t, 347 = 3*t + 7*n - 553. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 + 15*x**2 - 33*x + 15. Let t be v(-17). Which is the second biggest value? (a) t (b) 1 (c) 0.16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 673752 and 77515?\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*u - 73 + 70 = -3*k, -4*k + 4 = 4*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.5? (a) 4\/45 (b) 0 (c) -0.165\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11427828.\nAnswer: 2, 3, 59, 16141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -82 - -153. Let z = -58 + o. Suppose 0 = -z*n + 6*n + 238. Does 8 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 68.5 + -68. Which is the closest to -1? (a) 0.2 (b) -1\/9 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 45\/224*4 - 9\/21. Which is the second smallest value? (a) 2 (b) -4 (c) 9\/2 (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*t + 16*t + 10*t in the form z*t + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 + 8. Let s be 6 + 0\/2 + w. Solve -5*m + 28 = -m - s*c, -2*m - 2*c = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(1053) + sqrt(1053) + 2 - sqrt(1053) - ((0 + sqrt(1053))**2 + -3).\nAnswer: -1043 + 9*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26045 to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 61 = -8*u + 7*u, -56 = -2*i - 4*u. Let j be 15\/6*-1*(-48)\/i. Let d(f) = -1 + 0*f**2 + 6*f + 0*f - f**2. What is d(j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 - 10*s**2 - 10*s + 2. Let c(v) = v**2 + 3*v - 20. Let q be c(-8). Suppose -4*a - 3*p + 21 = -5*a, 5*p - q = 0. Determine r(a).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1104576 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-n + n + 3*n**2)*(4*n - 2*n + n) - 4*n**3 + 4*n**3 - n**3)*(-2 - 2 + 0) - 2*n**3 - 2*n**3 - 7*n**3 as c*n + p*n**2 + s*n**3 + f and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -4, 61.8, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 11, 3\/8, 3107?\nAnswer: 3107","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, 5, -4812 in decreasing order.\nAnswer: 5, 4, -1, -4812","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (-384)\/66 + 6 + (-340)\/55.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -5*n + 29. Let l be r(14). Let p(h) = 2*h**2 - 2*h - 1. Let a be p(-2). Let d = l - a. What is d rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 17\/2 of a kilogram?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1.654 (b) 1\/5 (c) 0 (d) -1.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -471 + 473. Find the second derivative of -1 + 8*m + 67*m - 70*m**2 + 48*m**2 - 36*m**w wrt m.\nAnswer: -116","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 4*t**3 + 2. Let a(p) be the third derivative of p**6\/120 - 124*p**2. Determine -3*a(q) + u(q).\nAnswer: q**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -5 (b) 2\/17 (c) -758\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 81*g - 548*g - 6678 - 1261 for g.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the first derivative of -2 + 2\/9*d**3 - 1\/9*d**2 + 0*d + 2\/45*d**5 - 1\/6*d**4. Factor b(z).\nAnswer: 2*z*(z - 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*(-7)\/(28\/8). Let h be (-3 - -5)\/t*0. Suppose -b = -2*p - 50, h*b - 4*p = -3*b + 144. Is 19 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29961 is divided by 232?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2 - 13*r - 11. What is q(-11)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -13*n**2. Let i be 2\/24 - (-163)\/(-1956). Let a(f) be the third derivative of 0 + i*f**4 - 1\/30*f**5 + 0*f - 14*f**2 + 0*f**3. Determine w(a(j)).\nAnswer: -52*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 6:30 PM?\nAnswer: 5:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -31, 2, -287 in descending order.\nAnswer: 2, -31, -287","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 9*h**2 + 17*h + 82. Is 11 a factor of s(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -345 (base 7) to base 3\nAnswer: -20200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 5*k + 6. Suppose -709 + 107 = -86*l. Let g(p) = -14*p - 19. Determine l*t(v) + 2*g(v).\nAnswer: 7*v + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -186 + 186.5. What is the nearest to 0 in -2\/19, f, -4?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(1452) - (-5*2*sqrt(1452) + sqrt(1452))))\/(2*((sqrt(112) - sqrt(28))*5)\/sqrt(7)).\nAnswer: -33*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -23 + 210103232?\nAnswer: 210103203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o + 4*g - 6372, 3*g - 4771 = -3*o - 2*g. What are the prime factors of o?\nAnswer: 1597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*(21\/(-14))\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -13*r**2 - 32*r - 4. Let t(a) = -a - 1. Let n(f) = i(f) - 4*t(f). Find the second derivative of n(k) wrt k.\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.72 - 2.72. Let d = 12\/19 - 27\/133. Put q, -3, d in descending order.\nAnswer: q, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 21 - 26 + 2 + 30*p in the form f*p + g and give f.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 3*n**2 + 86*n - 71. Determine v(-30).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s**5\/8 - 5*s**4\/8 + s**3\/2 + 11*s**2\/2 + 6*s = 0.\nAnswer: -4, -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 19043256 a multiple of 87?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 5 = -3*j - 17, -3*j = 4*l + 12. Let f be 1\/(-3)*(l + 0 + 0). What is f rounded to three dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) -219 (b) -5 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 66 = 3*z, -2*k = -4*z - 48 - 40. Calculate the remainder when 56 is divided by 1\/((-1)\/3) - z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8345?\nAnswer: 5, 1669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6.7 - -7. Let m = 1.49 - -0.41. Let c = m - 2. Put c, j, 0.1 in increasing order.\nAnswer: c, 0.1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5419 or 297?\nAnswer: -5419","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -147.2 + 148. Which is the nearest to 2\/5? (a) q (b) 0.3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -205380, 4, 16, 2\/5 in descending order.\nAnswer: 16, 4, 2\/5, -205380","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a\/(a\/(a\/(a**(2\/5)\/a)))*a)\/a)**(-19)*((a**1*a)\/a)**19*((a**(-8)\/a)\/a*a**(-1\/5))\/(a**(3\/2)\/a**(-2\/9)) assuming a is positive.\nAnswer: a**(-3809\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 2*z**4\/3 - 98*z**3\/3 + 1420*z**2\/3 - 5824*z\/3 = 0?\nAnswer: 0, 7, 16, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (14*b - 5*b + 7*b)*(1 - 2 + 0) as k*b + v and give k.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1089\/330)\/(6\/(-5)). Sort g, -5, 0.03.\nAnswer: -5, g, 0.03","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21 + -15. Suppose 4 = 2*o + a. Let g = 1\/4 + 0. Are g and o nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 + 6*z**2 + 4. Let v be o(-6). Suppose -2*k - v = -k. What is the units digit of (-1)\/(-2) + (-22)\/k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -117.1 + 111. Let p = u - -4. Let g = p + 2.100017. What is g rounded to 6 decimal places?\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8034 + 1056. What are the prime factors of r?\nAnswer: 2, 3, 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 146 a factor of 130378?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, 1, 3, 7, 13?\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -69 + 72. Suppose -152 = -3*m - 4*x - 17, y*x = 0. What is the remainder when m is divided by 15?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:50 AM and 12:20 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/11? (a) -468.8 (b) -4 (c) -0.5 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*v + 48 = 38*v. What is the smallest common multiple of v and 240?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.7 - 2. Which is the closest to j? (a) -0.1 (b) 3\/10 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-31)\/(1426\/69)*-10.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 75552902 smaller than 75552902?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**4 + 108*z**3 - 1440*z**2 + 8400*z - 18000.\nAnswer: -3*(z - 10)**3*(z - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61745 is divided by 4555.\nAnswer: 2530","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -27? (a) 28 (b) -0.2 (c) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:07 PM and 5:34 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -6*2\/(-4)*1. Suppose -5*o + s*o + 10 = 0. Suppose -3 = r - 2*d + 1, o*r = -2*d + 40. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -1289*y**3 - 6*y**2 + 6*y + 3. Let p(l) = -3868*l**3 - 21*l**2 + 19*l + 9. Let f(g) = -19*j(g) + 6*p(g). What is the third derivative of f(w) wrt w?\nAnswer: 7698","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 8, 18, 32, 50, 72, 98, 128?\n\"Answer: 2*k**2 + 4*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -4456 and -1033637.\nAnswer: -1038093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, h: 1, d: 1, z: 1, p: 1, c: 2}. Give prob of sequence jhpd.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -791 + 1589 - 799 - 3*j + 3*j + 5*j**3.\nAnswer: 5*j**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13814 - 455900\/33. Let b = -42487\/6 - -7096. Calculate the common denominator of b and x.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -10 (b) 35 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -624, -0.4, 1 in descending order.\nAnswer: 1, -0.4, -624","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 442210 >= 442209?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 16) in base 13?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -361820 - -0.367591.\nAnswer: -361819.632409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3510 - -4316. Calculate the smallest common multiple of h and 558.\nAnswer: 7254","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2534\/11 - -230. Which is the second biggest value? (a) 1 (b) n (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*(((t*t*(t\/(t*t\/(t**1*t*t)))\/t*t*t)\/t)\/t)\/t)**(2\/51))**(-39) assuming t is positive.\nAnswer: t**(-78\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -19*a**2 + 10255393*a + 64081553 wrt a.\nAnswer: -38*a + 10255393","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -3 - 1 - (-1 + -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**3 - 8*u**2 - 9*u - 9. Is b(-8) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10838253941 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 640*h**3*z**2 - h**3*z + 3*z**2 + 1 with respect to h.\nAnswer: 1920*h**2*z**2 - 3*h**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/6 - (-22)\/6. Let j(b) = 3*b - 1. Let k(o) = o**3 + 12*o**2 + o + 9. Let q be k(-12). Let f(y) = 2*y - 1. Give h*f(d) + q*j(d).\nAnswer: -d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 165 and 150.\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 682357?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5033 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1194 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {d: 11, l: 6, q: 2}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 - 3)*(-37*y + 108 - 108 + (1 - 1 - 1)*(2*y + y - 4*y)).\nAnswer: 180*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*y = -144 + 384. What is the remainder when 79 is divided by y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1376)\/(-80)*(-5)\/(-2). What is the highest common factor of 4042 and t?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0009548775743 to five dps.\nAnswer: 0.00095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zl when two letters picked without replacement from {e: 3, l: 3, b: 1, z: 13}.\nAnswer: 39\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -664*k = 874*k - 2204*k - 5531*k + 675473 for k.\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -932915 or 6.45?\nAnswer: -932915","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 - 46*u**2 - 52*u + 231. Calculate s(47).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 258675.1 millilitres in litres?\nAnswer: 258.6751","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*b**4 + 3243138*b**3 - 12*b**2 - 3283277?\nAnswer: 240*b + 19458828","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*u**2 - 9 + 14 - 5.\nAnswer: 10*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 11:24 PM?\nAnswer: 1:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2100914 divided by 2100914?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 11\/108, 5, -28\/9, -3?\nAnswer: 11\/108","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2221201 (base 5) to base 6\nAnswer: 500114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -515*s = -493*s - 220 for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -70243, -70241, -70239, -70237, -70235, -70233?\n\"Answer: 2*r - 70245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 59*u**2 - 1 - 2*u + 14*u**2 + 89*u**2 - 13*u**3 - 41*u**2 to p*u**2 + t*u**3 + o + m*u and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 54 and 120.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 3:38 AM?\nAnswer: 7:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 41923216 to the power of 1\/2, to the nearest integer?\nAnswer: 6475","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**2\/2 - 186*b - 5766.\nAnswer: -3*(b + 62)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 573722 and 155060?\nAnswer: 5737220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 722492759.\nAnswer: 722492759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -5*w - 2*p + 5*p, -5*p = 2*w + 17. Sort -15, 1, -5, w in decreasing order.\nAnswer: w, 1, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 3489938*r**2. Let i(f) = -14*f**2. Determine u(i(l)).\nAnswer: 684027848*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 74721, 74584, 74447?\nAnswer: 74310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 10 (c) 145 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 21\/14*(1 + 1). Suppose -4*b = -q*h - 415, 2*b + 3*h = -33 + 218. What is the tens digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*x + 154 = -3*x. Suppose 10*y = x*y. Solve -4*a = -y*a - 8 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 2*v = -3*h - 50, 3*h = v - 44. Let d(l) = l**2 + 2*l + 32. Does 20 divide d(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.04310705 + -3.33372.\nAnswer: -3.29061295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -373260, -1493031, -3359320, -5972133, -9331476, -13437355, -18289776, -23888745?\n\"Answer: -a**3 - 373253*a**2 - 5*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -44 and -2.3546.\nAnswer: 103.6024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s, 5*w = 2*w + 5*s + 15. Suppose -w*r + 87 = -193. Let l = 22 - 14. Calculate the greatest common divisor of r and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16 + -16.1. Let w = 1 - 0.9. Which is bigger: r or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4883 is divided by 3735?\nAnswer: 1148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 + j**2 + 2. Let h be d(-2). Let n be h\/(-4)*-4 - 1. What are the prime factors of (n + (-4)\/2)*-1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17, 42, 77, 128, 201, 302, 437?\nAnswer: 612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1789343067.\nAnswer: 3, 596447689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 + 6*p**2 - 10*p + 4. Let i be v(4). List the prime factors of 774 + 14\/i*(-4)\/14.\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65) - sqrt(65)*-2*1 - (sqrt(65) + 2*sqrt(65))*-3)\/(((-2*sqrt(125) - sqrt(125) - sqrt(125)) + sqrt(125))*1)*6.\nAnswer: -24*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 AM and 11:23 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the third derivative of i**5\/60 - 5*i**3 + 2*i**2. Let r(t) = 12*t**2 - 53*t**2 + 12*t**2 + 10*t**2 + 16*t**2 + t**2. Give r(m(p)).\nAnswer: -2*p**4 + 120*p**2 - 1800","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 109a (base 11) to base 14.\nAnswer: 74c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 66*y + 485. Is c(9) a multiple of 83?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -45736, -182955, -411654, -731833, -1143492, -1646631?\nAnswer: -2241250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.3 and 0.26101.\nAnswer: 0.56101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = 7*s - 28. What is the second derivative of 16*m + 13*m**4 - 12*m**4 - 9*m**s wrt m?\nAnswer: -96*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 4*o + 15 - 115, 4*s = 0. Let p be (-50)\/(-15) - (-1)\/(-3). Let n be 1\/(p - (-42)\/(-15)). Calculate the highest common divisor of o and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -45843583.\nAnswer: 1\/45843583","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 55 + -45. Suppose -2*n + 34 = 2*n + 5*s, 2*n - s = q. Find the first derivative of 12 - n + 5 - 5*a**4 + 4*a**4 wrt a.\nAnswer: -4*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -9*k - 1. Suppose -4*n + 6 - 2 = 0. Give f(n).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 9*c = -36. Let 3\/4*t**2 - 3\/4*t**4 + 0*t**c + 0 + 0*t = 0. Calculate t.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -76579, 3, 5.\nAnswer: -76579, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5584 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -715*d + 420*d + 4130 for d.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12889, -25783, -38677?\nAnswer: -51571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17616 (base 9) to base 10.\nAnswer: -12165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.002191 - 7.6\nAnswer: -7.602191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -24404898*c**3 - 440987*c wrt c?\nAnswer: -146429388*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1855241 <= -1855265?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2645971 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 90336871?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.103 - -50.897. Let b = 53 - x. Let k = -82 + 1068\/13. Sort -1\/2, b, k.\nAnswer: -1\/2, k, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:50 PM and 4:20 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 155 = -2*q. Let i = q - -46. Does 11 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-38)\/a**(1\/5) assuming a is positive.\nAnswer: a**(-191\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/64 of a hour?\nAnswer: 56250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19945 - -35845. Does 89 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 7 = k, -k + 0*t = 3*t + 4 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 238 divide 15815338?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 373 - 507?\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 567917, 1135836, 1703755, 2271674, 2839593, 3407512?\n\"Answer: 567919*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3430 and 105.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1132312777 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 7086769?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(-7)\/(-84)*400\/(-105)*(-108)\/16.\nAnswer: 45\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**3 - 14*z**2 - 15*z - 13. Let q be k(-13). Suppose -w - q = -10. Let i(j) = -j**2 - j + 4. Let l(m) = m**2 + m - 3. What is w*l(v) - 2*i(v)?\nAnswer: -v**2 - v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(245) + -2 + 1*sqrt(245) + sqrt(245))*-6)**2 + ((sqrt(245) - (-1 + sqrt(245)))*4 + sqrt(245) + 1*(sqrt(245) - (0 + sqrt(245))))**2)*-2.\nAnswer: -159570 + 5936*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1018000 rounded to the nearest 10000?\nAnswer: -1020000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -147, -643, -1445, -2547, -3943, -5627, -7593?\n\"Answer: o**3 - 159*o**2 - 26*o + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -2*y - 20, 0 = 3*y + 2*c + 2 + 2. Let k(o) = 4*o**2 + 4*o + 3. Is 18 a factor of k(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55\/(-20)*(-482)\/18557.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i + 3. Let x be 63\/(-42)*(-1 - 1). Let v be a(x). What is the units digit of 9 + -12 - (v + -14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 177 divide 599450502?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -149\/6 and 92\/152214585.\nAnswer: 304429170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 5271123?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 96 + -91. Solve 11 = r*b + 6 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-12)\/(-3))\/4 + -1*17. Which is greater: f or -21?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*t - i = 38*t + 660, 0 = 3*i. Calculate the smallest common multiple of t and 60.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -525, -508, -491, -474, -457?\n\"Answer: 17*i - 542","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 64\/247 - 2\/19. Let t be 1\/(-2 - (-15)\/8). Let w be (t\/(-90))\/(6\/15). What is the closest to -1 in w, l, 4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 4*s + 11114 + 2481 - 6*s + 9823. Let b(o) = 2*o. Determine b(p(g)).\nAnswer: -4*g + 46836","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -2961 at most as big as -3021?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 11 (b) -13.11 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 36 - 68. Let i be ((-15)\/(-10))\/(6\/o). Let a = -5 - i. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 6*v - 332 + 332. Let t(g) be the third derivative of -g**8\/10080 + g**5\/30 - 3*g**2. Let k(h) be the third derivative of t(h). Give w(k(b)).\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 2*l + 43088, 4*l - 32319 = 3*z + 7*l. Let a = 18272 + z. Is a 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 758913?\nAnswer: 3, 252971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 560 and 126336?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 54672 (base 9) to base 16\nAnswer: 8db0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.2 and -147366272.\nAnswer: -147366271.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 4*t**3 - 4*t**2 + t. Let v(s) = 2*s - 3. Let w be v(2). Let r(k) = -k**3 + k. Let l(d) = w*f(d) + 2*r(d). Calculate l(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 + 90 = 4*d + 4*h, -4*d + 5*h = -148. Calculate the remainder when 68 is divided by d.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -t**2 + 9*t**2 + 18*t - 16*t - 3*t**2 - 70 - 4*t**2 to the form b*t + v*t**2 + r and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 4 (c) -0.3 (d) 29644 (e) 2.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in ten thirds of a minute?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 130078363.\nAnswer: 23, 41, 137941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.089 <= -0.219?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*r**3 + 2*r**3 + 4*r**3 - r**3.\nAnswer: -5*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.14, 0, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 25808357 to the power of 1\/5, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -6314037 equal to -6314037?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, 19, 38, 73, 130, 215, 334?\nAnswer: 493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**2 + 6*j + 11. Let u be q(7). Let z(a) be the first derivative of -9*a + 33*a**u - 33*a**4 + 26 - 3*a**5. Differentiate z(o) wrt o.\nAnswer: -60*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1700) + ((1 + sqrt(1700))*-3 - sqrt(1700)).\nAnswer: -30*sqrt(17) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.6113955457 to two decimal places.\nAnswer: -0.61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 6, u: 13}. What is prob of picking 4 u?\nAnswer: 715\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 - 2*c**2 + 4*c. Let g = 2 + 10. Suppose -g - 6 = 6*t. Give d(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -340*y - 344*y + 1343*y - 344*y - 337*y.\nAnswer: -22*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-264)\/396*7\/((-182)\/(-12)).\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8092 + -8091.6. Which is the nearest to 0.2? (a) 14 (b) 1 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*l**5 - 100*l**4 + 585*l**3 - 980*l**2 + 500*l = 0. Calculate l.\nAnswer: -25, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1832889*s + 2846197 wrt s.\nAnswer: 1832889","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 180, 361, 542?\nAnswer: 723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -75.54 - -76. Let j = -0.86 + h. Sort j, -19, -3.\nAnswer: -19, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 - 19*n**2 - 59*n + 332. What are the prime factors of i(-29)?\nAnswer: 10453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 + -3.95. Let v = l - 0.12. Round v to two decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 164 = 2*y, -2*p = 4*y + y - 389. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -8. Suppose -4*f = -w*f - 3. Calculate the smallest common multiple of 4 and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1343 + 0?\nAnswer: 1343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 189 - 145. Calculate the remainder when f is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15440 and 110080?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 4 = -l. Let o be (-12)\/l*4\/12. Let s be 2\/(1*o\/6). Solve t = -s*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, w: 11, a: 2, b: 5}. What is prob of picking 3 w?\nAnswer: 55\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 21903?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 687, 660, 585, 438, 195, -168, -675, -1350?\n\"Answer: -4*w**3 + w + 690","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5169 + -15511\/3. Let r = -11 - -16. Which is the closest to w? (a) 7 (b) r (c) 0.5 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2999 - 1715. Suppose -5*x - d = -17*x. Is x a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 56923?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - -9)*2\/6. Suppose -m*d = -0*d + 12. Calculate the remainder when ((-42)\/12)\/(2\/d) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 143\/15000 and 71\/20000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.433 + -0.033. Let b = 1369 + -1257.96. Let c = b - 111. Put c, 4\/5, r in increasing order.\nAnswer: c, r, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 76 and 1264?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes after 12:33 PM?\nAnswer: 7:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - -2 - (3 - -2 - 5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2 + 5*u + 4. Let o be x(-6). Suppose -5*k = 4*s - 1247, 0 = 8*s - o*s - 2*k + 622. Does 14 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -235\/8 + 385\/24. Find the common denominator of 40\/163 and l.\nAnswer: 489","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 174 + 1110 = 0. Suppose 4*b + 4*u - 108 = 3*b, -2*u = -4*b + c. Calculate the remainder when b is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1495*y**4 + 23*y**2 + 6 wrt y?\nAnswer: -35880*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - 0. Let u = w - 0.7. Let r = u + -0.3. Which is the biggest value? (a) -0.3 (b) 0 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24 + 24 + 2016*j.\nAnswer: 2016*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 128*s + 2*f = 125*s + 23, 3*f - 30 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 56489128 and 152?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -14*l**3 - 3014*l**2 - 57896*l - 16296 = 0.\nAnswer: -194, -21, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2 + 2*r - 8. What is d(14)?\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -190*z**3 - 2 - 2*z + 128*z**3 + 93*z**3 in the form u + o*z + n*z**3 + l*z**2 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*k + 57 - 41*k + 42 - 22 - 19.\nAnswer: -49*k + 58","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -4) + (29 - 44 - -27).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 338864 (base 11) to base 7\nAnswer: 4402510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -235a9 (base 15) in base 3?\nAnswer: -12201112120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((-6)\/9)*24\/18.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.401 - 1595.459805?\nAnswer: -1586.058805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 - 11. Let a be (-6)\/(-10) + (-10)\/o. Is 0\/(-6) - (-27 - a) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m = 3*m - 60. Let y be 2\/(-4)*(m - -2). Suppose 5 = -4*r + 2*z + 3*z, 5*z = y*r. List the prime factors of r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10934*g**4*n + g**4 + 24*g**3*n + 3255911*g**2*n wrt g?\nAnswer: -262416*g*n + 24*g + 144*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 190*q - 14. Suppose -5*d = -4*l - 28, d = 2*d. Let p(o) = 95*o - 6. Let t(u) = l*p(u) + 3*x(u). Let n(c) = -c**2. Give t(n(m)).\nAnswer: 95*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - (-13 - -8)) + 3 + -3 + 15?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6105 and 8140.\nAnswer: 24420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (312\/(-234))\/((-8)\/(-6)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 149 is divided by 38.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 PM and 11:26 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 959772, 1919567, 2879384, 3839235, 4799132, 5759087, 6719112?\n\"Answer: 2*p**3 - p**2 + 959784*p - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 98683060 to the power of 1\/4, to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*w**(1\/9)\/w)**(-46) assuming w is positive.\nAnswer: w**(-460\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * 18516.\nAnswer: -74064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -200 = 14*v - 68 + 36 for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -o + 13. Is 28 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 3*l**2 - 2. Let k = 20 + -25. Let d(y) = 2*y**2 - 2. Give k*d(q) + 4*s(q).\nAnswer: 2*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 0*k**2 + 2*k**3 + k**2 - 2*k**2 + 1 - 3*k. Is c(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 5\/752?\nAnswer: 5\/752","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -28 + 74. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 2*u - 1. Let m be w(1). What are the prime factors of (-3)\/(9\/(-69)) + m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 146231?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 504 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 29461440 divided by 20?\nAnswer: 1473072","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 89 + -210. Let w = n + 130. Let o(k) = k**3 - 7*k**2 - 15*k + 5. What is the tens digit of o(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/3*(-48)\/(-80)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 6*d - 5*d. Calculate the remainder when d is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11 by -580038.\nAnswer: 11\/580038","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1529?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*w = -28*w - 6. Solve 0 = 3*a + 3*p + 3, -w = -a - 2*p - 4 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -193330 divided by 19333.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3556 - 3248. What is the highest common divisor of f and 252?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -43974387, -43974390, -43974393?\nAnswer: -43974396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-12)\/3 + (-7)\/21*-18. Let k be 40\/154*7 - j\/(-11). Let n be (40\/16)\/((-2)\/(-4)). Solve -3*t - n = 4*s, s + 0*t + 4 = k*t for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 0.5 (b) -7 (c) -721862 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 7 - 3 = 0. Let i = -5 + c. Solve 5*g + i = -25 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14? (a) -0.14 (b) -1.9 (c) 30 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, p: 2}. What is prob of picking 2 p?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1537 (b) -23 (c) -104\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 523?\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 3 - 1)*(-5 + 2 + 1) - 7 + 2 - 2)*(0*i**3 + 4*i**3 - 2*i**3)*((-i**2 + 7*i**2 + i**2)*(-1 - 1 + 1) + 4*i**2 - 2*i**2 + 0*i**2).\nAnswer: 30*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-25)\/(1775\/(-639)))\/((-6)\/(-40))\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -20? (a) 4 (b) -13 (c) -26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 352.8799 rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fx when two letters picked without replacement from xflflk.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bk when two letters picked without replacement from {d: 1, b: 1, k: 16}.\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*a\/a**8))\/a*a**(4\/9)*(a**(1\/3))**25 assuming a is positive.\nAnswer: a**(133\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 2 z when four letters picked without replacement from qzjjjjzjjqjjzjzzjzzj.\nAnswer: 7\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/6*(-66)\/22.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41770 - 8.\nAnswer: 41762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -46*n + 2877. Calculate w(65).\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 p when three letters picked without replacement from wpsssmvgvvg?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 1135 to the nearest ten.\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3400757\/54 - 62979. What is the common denominator of 115\/606 and p?\nAnswer: 5454","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1170 is divided by 386?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 135653246 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 1.19832 (b) -1 (c) -0.1 (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 25333619 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 268743 is divided by 148.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132*p - 10113 + 197916 = -768*p - 1261*p for p.\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 224 + 40?\nAnswer: 314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 2:35 PM?\nAnswer: 11:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 84780739 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 38053470?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q + 27 = 2*q. Factor 45*z**4 + 131*z**q - 418*z - 142*z + 205*z**3 + 100 - 9*z**4 + 664*z**2.\nAnswer: 4*(z + 5)**2*(3*z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4697165897 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 218 = 3*k + 4*r, -3*k + 3 = -4*r - 199. Calculate the remainder when 1327 is divided by k.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 35*r. Let h(u) = 4026*u. Calculate 231*a(b) - 2*h(b).\nAnswer: 33*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the second derivative of -g**4\/12 + 3*g. Let z(a) = 3*a + 5. Let s(v) = -4*v - 6. Let c(o) = -5*s(o) - 6*z(o). What is c(r(u))?\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 24\/(-5 - -11) + -4. Solve v + 6 = -3*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.168326 meters to kilometers.\nAnswer: 0.000168326","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 5 + sqrt(2) + -2)**2*-1.\nAnswer: -11 - 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 141 - 396. Let y = -55 - b. Is y a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/((-10)\/(-2)) + 0. Suppose l = -h + 4*w + 8, 4*w = -4*h + 3*w + 15. Solve h - 2 = j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from vdd.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -77 - -76.98. Let v = -111.9 - -113.9. What is the closest to -3 in v, l, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 66 and 96?\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/55)\/((-650)\/(-3125)*25*(-12)\/(-78)).\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 289, 1, 3, 1\/1202, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 12 = -4*a, -w + 4*a + 16 = 4*w. Let s(o) = -o - 3*o - w*o + o. Let l(j) = j. Give s(l(x)).\nAnswer: -7*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -2*w**2 - 805*w - 22512. Determine z(-30).\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 2*m = -20. Suppose -2*a + m = 0, -3*y + 2*a + 315 = 5*a. What is y rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 37.5 in -104\/11, 0.4, 4, 0.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 861377?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 12019*r + 0 - 1.\nAnswer: 12019*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -173*o - 37*o - 6187 = 59*o for o.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = 18*n - 20*n + 6, 3 = -4*x - 5*n for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 869042719 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002653 to 5 dps.\nAnswer: 0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 1:03 AM?\nAnswer: 11:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*s + 19*s + s**2.\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 2*j - 28. Let w be v(13). Put 1, w, 3 in descending order.\nAnswer: 3, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8976)\/13728 + (-4)\/(-26))*24?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 28 - -56. Let x be -102*((-4)\/(-6) + (-182)\/l). Suppose 27 = -n + x. Is 21 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 43040 - 13029. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3123 - 0?\nAnswer: -3123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 n, and 1 r when three letters picked without replacement from nrxnnnjnnnrnnnn?\nAnswer: 22\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -363.5 - -200.1. Let k = g - -179. What is k rounded to 0 dps?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -101 + 158. Let h = 3096 - 3077. Calculate the highest common factor of l and h.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of 3*p**5\/10 - 5*p**4\/12 + 2*p**3\/3 + p**2. Let s(c) = -6*c**2 + 3*c - 1. Let m(g) = 7*s(g) + 2*w(g). Give m(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9446 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - c + 1 = -3, 0 = -3*n + 4*c + 5. Suppose w - n*w = -28. What is the greatest common factor of w and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -22566 or -22567?\nAnswer: -22566","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.313429134 to four decimal places.\nAnswer: 0.3134","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -2*i + 7. Let z be b(4). Let k(y) = -2*y - 1. Let c be k(z). Let q(l) = 12*l**3 - 2*l + 1. Calculate q(c).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 2*d**3 + 3 - 2*d**3 - 3*d**3 + 4*d**3 - 4*d - d**3 + 4*d + (d + d**2 - d)*(-1 + 1 - d) + 0*d - 2*d**3 + 0*d - 4*d**3 + 695*d + 2*d**2 - 695*d.\nAnswer: -7*d**3 + 2*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 113 - -1010?\nAnswer: 1123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 190784?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c**2 + 2*c**2 - 4*c**2)*(71 - 71 + 9*c**2) + 2*c**4 + 2*c**4 - 3*c**4.\nAnswer: -17*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:10 PM and 4:20 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8092\/153 - (2 + 50).\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * -0.34.\nAnswer: -0.102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, -18, 3.1 in descending order.\nAnswer: 3.1, -3, -4, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of o**4\/12 - 4*o**3\/3 - 4*o. Let k be m(8). Let n(z) = -z**2 - z - 3. Calculate n(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3900)*4 - sqrt(3900) - (sqrt(429)\/sqrt(275) - sqrt(39)))\/((5*sqrt(12)\/sqrt(4) - (sqrt(3) + sqrt(108)*-3))*-1).\nAnswer: -7*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, -45650.\nAnswer: -45650, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 + 5 + (0 - (0 - 1)). Let c(j) = j - 12. Let b be c(9). Put -6, b, g in descending order.\nAnswer: g, b, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -202\/255 (b) 24 (c) 3\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n - 2*n + 5*n - 5*n + 4*n + 2*n + (0 + 2 - 1)*(-2*n + n + 3*n))*(3853 - 2072 - 2178 - n).\nAnswer: -4*n**2 - 1588*n","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 224*j. Let p(s) = s**2 - 34*s - 142. Let o be p(-4). Let r(t) = 5*t**2 + 5*t**2 + t**2 - o*t**2. Determine r(a(f)).\nAnswer: 50176*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence td when two letters picked without replacement from tdpdpyp?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t + 2. Let c(a) = -2*a**2 - 4*a - 22. Let u(j) = -c(j) - 8*l(j). Determine u(3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-6)\/3)\/(-6))\/((-28)\/24).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3069603 to the nearest integer?\nAnswer: 1752","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61660.\nAnswer: 2, 5, 3083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -36\/11366129?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 424 divided by 8\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does -5\/4 = -2\/10517?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -2*b. Let x(c) = 23*c. Determine f(x(d)).\nAnswer: -46*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*i**2 + 8*i**2 + 4*i**2 - 4.\nAnswer: 21*i**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - v = 30. Suppose -3*l - 59 = -50. List the prime factors of v\/2 + l + 12.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22702 + 11614 = 23*q. Is 9 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -37643 - -8469343\/225. Let v = y + 14\/9. Let r = 1818 + -1819. Is v at most as big as r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -3*r**2 + r + 3. Let j be w(3). Suppose -2*d + 4*g - 43 = -71, 3*d - 58 = 2*g. Let f = j + d. Which is greater: f or -8?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(-112)*-212 - 7. Let z be (5 + (4 - 15))\/(-2). Which is the biggest value? (a) 0.04 (b) -5 (c) m (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -62092440106 less than 0.4?\nAnswer: 62092440106.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1.1 times -0.25\nAnswer: 0.275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 10*q = -91. Let t = 2 - 5. What is the nearest to 2\/7 in -4, q, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (11 + -4 + (16 - 11))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 2 l when four letters picked without replacement from {w: 3, k: 1, l: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 + 4*t**2 - 2*t - 5. Give w(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from {e: 16, m: 4}.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 234021023 (base 5) in base 12?\nAnswer: 440875","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -371.985 + 373. What is c rounded to 1 decimal place?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -17*u**3 + 7*u**2 - 3*u. Let f(r) = 18*r**3 - 8*r**2 + 4*r. Calculate 6*a(x) + 5*f(x).\nAnswer: -12*x**3 + 2*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xf when two letters picked without replacement from {p: 1, r: 2, u: 1, x: 2, m: 1, f: 2}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1304, 10415, 35124, 83225, 162512, 280779, 445820?\n\"Answer: 1299*z**3 + 5*z**2 + 3*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -88 divided by 2\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) -0.5 (b) 0 (c) 0.2 (d) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) -51 (b) -3 (c) 3 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -163 < -130?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 127 - 75*i**2 + 90*i**2 - 427 as z + x*i**2 + p*i and give z.\nAnswer: -300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4*(-1 - (-1)\/4). Let w(i) = -i**2 - 5*i - 6. Let r be w(-6). Let t be (41\/(-4))\/(o\/r). Round t to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -181.\nAnswer: 2\/181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -3*u + 13. Let w be m(0). Suppose -t + 30 - w = 0. Calculate the least common multiple of 5 and t.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1862) - -2*sqrt(1862) - sqrt(1862)) + sqrt(38))\/(sqrt(2) + sqrt(288)*1) + (2 + (sqrt(19) - (4 + sqrt(38)\/sqrt(2))))*-1)**2.\nAnswer: 60*sqrt(19)\/13 + 4951\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(-6)*1*28. Suppose 0 = -2*p + 3*b - 2, 3*p = 2*b + x - 7. Let 9*a - 2*a**2 - 9*a - 5*a**3 + 11*a**4 - 5*a**p + a**5 = 0. Calculate a.\nAnswer: -1\/4, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -179808697 + 179808615.000069. Let w = 1.97 - 83.97. Let z = w - i. What is z rounded to five dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n**3 - 7995*n**2 + 1112875*n - 37855125 = 0. What is n?\nAnswer: 55, 95, 1449","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 146 - 31. Suppose 3*l + 8 = 2*m - 7, -4*m = l - u. Suppose 46 = -m*w + 8*w. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 3\/1129?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g. Let h(f) = f**2 + 0*f**2 + f**2 + 0*f**2. Determine t(h(z)).\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 PM and 9:06 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 275 - 1721*o - 1724*o + 3536*o - o**2. Calculate c(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1335?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 18*y = -16*y - 2, -5*y + 33 = 4*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j - 3. Let m be z(-5). What is the third derivative of 2*l**3 - 2*l**2 + 0*l**3 + 12*l**m wrt l?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -2*a**2 + 4*a + 5. Let w(t) be the first derivative of -t**3\/3 + t**2 + 2*t - 167. What is -6*r(f) + 13*w(f)?\nAnswer: -f**2 + 2*f - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15335*x - 2*x**3 + 15335*x.\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13151921.\nAnswer: 13151921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = 86*z - 91*z, 3*k - 12*z + 17*z = -31 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - -431?\nAnswer: 436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yzxzyzzzzjzxzxx. What is prob of sequence jx?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 61*n**2 + 53*n**2 - 949*n + 53*n**2 - 166*n**2 to the form y*n + g*n**2 + d and give y.\nAnswer: -949","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 3*w**3 - 16*w**2 + 18982*w - 56886. What is s(3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/22 - 59334\/(-242). Suppose -58*r + 53*r + b = 0. Calculate the highest common divisor of r and 392.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 - 2)*(3 - 1 + 1)*(7*r**2 + 16*r - 16*r) + (3*r - 3 + 3)*(4 - 4 + 26*r) as h*r + u*r**2 + c and give u.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0\/(3 - (3 + 1)). Suppose w*z = -3*z + 12. Suppose 0 = -z*t - 0*t + q + 223, -2*q = 2*t - 114. Calculate the greatest common divisor of t and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-1\/11)\/q)\/(q*(q*(q\/((q*q**(-4\/9))\/q))\/q)\/q*q*q))**16*(q**(-4\/9)\/q**(-9))\/(q**(2\/9)\/q*q)**1 assuming q is positive.\nAnswer: q**(-4775\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -3995899.\nAnswer: -4\/3995899","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -113 - -117. Let m(r) = -2*r + 15. Let i be m(l). Solve i = 2*w - 1 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 98854 and 25174?\nAnswer: 614","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 469 - 3 + 257 - 223 - 3*w to the form i*w + q and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3 - 180568*p**2 - 214114540*p - 63266478800.\nAnswer: (p - 181748)*(p + 590)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the first derivative of 0*k - 31\/2*k**2 - 25 + 25\/3*k**3. What is the second derivative of t(a) wrt a?\nAnswer: 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of -100*m**3 + 393*m + 314. What is the derivative of i(v) wrt v?\nAnswer: -600*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/397 (b) -3 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*k**2 + 2*k**4 + 4*k**4 - 7*k**2 wrt k?\nAnswer: 144*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -280*y**2 - 25*y + 25. Let k(t) = -35*t**2 - 3*t + 3. Give -25*k(s) + 3*m(s).\nAnswer: 35*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 34428936*d**2 - 15121510*d?\nAnswer: 68857872","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (25\/6 - (-14)\/(-21))*(-20)\/7. Let q(m) = -m**2 - 14*m - 25. Calculate q(y).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 3*p**2 + 7*p - 5. Let x be j(1). Solve 10 = b + 2*i + 3*i, -x*b = 2*i - 4 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/((w\/(w*w\/(w*(w\/(w**4*w))\/w*w)))\/w))\/w*((w**21*w)\/w)\/w)\/((w*w**(-1\/10))\/w**(-11)) assuming w is positive.\nAnswer: w**(131\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - -7. Suppose -z + 5*y - m*y = -29, 4*z + y - 107 = 0. Let n be (1 + 1)\/(5\/((-90)\/(-4))). What is the highest common divisor of z and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 4 + -7 + 3\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 166, 327, 474, 601, 702, 771, 802?\nAnswer: 789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of k**6\/20 - k**5\/30 + k**4\/12 - k**3\/6 - k**2. Let i = 1 + 0. Give d(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -59 + (10 - -7) + (-5 + 5 - -3)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + y - 3. Let n = -1 - y. Find the second derivative of g**2 + 5 - n*g - 5 wrt g.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, -1, 4, -0.055, 396?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(152)\/sqrt(968) + sqrt(19) + 3*(sqrt(19) - (sqrt(19) - sqrt(38)\/sqrt(2))).\nAnswer: 45*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - (-2 + -1))*2. Suppose 5*t = 3*q - 50, -i*t - t = 4*q - 20. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 6*j + 16. Give m(-6).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.223 - 61165.\nAnswer: -61164.777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the second derivative of d**5\/60 - d**3\/18 - 8*d. Let t(s) = 0. What is s?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 + 5*n**2 - 5*n - 9. Let s be r(-5). Solve s - 1 = 5*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6457 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 12:18 PM?\nAnswer: 9:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10201 and 487?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 PM and 10:58 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 + 10*x**2 + 9*x - 10. Let d be q(-9). Let i be (6\/(-20))\/(12\/d). Factor 0*b + i*b**3 + 1\/4*b**2 + 0.\nAnswer: b**2*(b + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -63*v. Let y(q) = 45*q**2 - 2. Determine u(y(k)).\nAnswer: -2835*k**2 + 126","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 368426633 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(152)\/(sqrt(24)\/sqrt(3)*-6) - 5*(sqrt(1539) + 0).\nAnswer: -271*sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 3*c + c - 2 = 0, -3 = 3*z + 3*c. Solve z = -p + 6*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -72061.444 to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -194, -165, -138, -113, -90, -69?\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 28343 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.4, -2, -4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*o**3 + 92*o + 15*o**3 - 8*o**3 + 13*o**3 - 95*o + 2*o**3.\nAnswer: 13*o**3 - 3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*r + y + 3824 = 73*r, 11460 = 3*r + y. Does 54 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 + 3602843758308.\nAnswer: 3602843758308.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -58.1289086 rounded to one decimal place?\nAnswer: -58.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 9206 divided by -2\nAnswer: -4603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 107 - 100. Suppose 10*w - l*w = 15. Solve s = 3*s - w*g + 1, 2 = -s + 4*g for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 52 and -6435 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 27 - 31. Let k be 2 - n*2\/4. Suppose t = k*r + 53, -3*r - 68 = -4*t - 12. Is r greater than or equal to -12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.00148 and 3.\nAnswer: 0.00444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of (44\/(-5))\/(2\/(-100))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 1384\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 q when two letters picked without replacement from {p: 1, x: 1, c: 1, b: 1, q: 3}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 2*q = -48. What is the lowest common multiple of (8\/(-6))\/((-4)\/q) and -4 - (-32 + 4 - -2)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 0, -5, 0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -5 - 10, 5*p = -2*d - 11. Suppose 0 = d*z - 162 + 14. Is 24 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 40*w**3 + 10*w**2 - 43*w + 39. Calculate the smallest common multiple of 1260 and j(3).\nAnswer: 7560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 + 16*a**2 - 16*a + 18. Determine u(15).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 27397 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2673522 is divided by 156?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/477 and -55\/3?\nAnswer: 477","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 91511?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 + 40. Is f a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 AM and 7:25 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 5 = 2*o, 2*w - 587 + 283 + 290 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -24.6 or 232965?\nAnswer: 232965","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -619606*0.294\nAnswer: -182164.164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/48594 and 131\/168?\nAnswer: 194376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 2) in base 11?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -4*l**2 - 3. Let m(t) = -t**2 - 1. Let u(h) = -4*h**2 - 4. Let c(g) = 5*m(g) - u(g). Calculate -3*c(f) + v(f).\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -603598247*q - 280982126?\nAnswer: -603598247","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 + 4*r**2 + 11*r + 31. Let z be p(6). Solve -z = -m + 5*g, -2*m = -4*g - 6 - 20 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10*6*((-50)\/(-5))\/(-200)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*x**2 + 4*x**2 + 1285*x - 1285*x.\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 47.30357ml?\nAnswer: 0.04730357","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -18*p**3 - 4*p**2 - 335*p - 986. What is t(-3)?\nAnswer: 469","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.82058 times 18?\nAnswer: 14.77044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - -23588?\nAnswer: 23603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of -x**6\/6 + 3*x**4\/4 - 2*x**3\/3 - 23. Factor w(s).\nAnswer: -s**2*(s - 1)**2*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 31 + -57. Let o = -25 - -63. Let r = k + o. Solve 0 = -4*a - 2*s + r + 16, -a + 3*s = 7 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**2 + 2110310*p - 29545320.\nAnswer: 5*(p - 14)*(p + 422076)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seven eighths of a millimeter?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**3\/9 + 350*g**2\/9 + 4804*g\/9 + 5264\/3.\nAnswer: -2*(g - 188)*(g + 6)*(g + 7)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2123 and 638?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 3*x - 2*k = -5, -4*k + 18 = -2*x. Let d be (6\/(-16))\/(6\/(-4)). Let m = 52767.2 + -52766. Which is the closest to x? (a) m (b) d (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-440)\/(-2200))\/(1*(-2)\/130).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r + 29. Let f be j(-19). Suppose 5*d = f + 15. Which is greater: 6 or d?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51628887?\nAnswer: 3, 557, 3433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -5*g**3 - 5*g**2 - 4*g - 2. Let j be h(-1). Suppose z = -0*z, -4*z + 6682 = j*t. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11687225687 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16 - 20. Let n = 38 + v. Suppose 0*w + 28 = 2*w - n*i, w + 2*i - 14 = 0. Does 14 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from pfxxpxpvxssx.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 449609411 to the nearest integer?\nAnswer: 21204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/(2 - (3\/(-3) + 2)). Solve 3*h - 2*h = y for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2511)\/(-434) + (-11)\/(2156\/(-42)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, j: 6, e: 4, w: 2, c: 2}. What is prob of picking 1 j and 1 w?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 203\/5, -109, -0.2.\nAnswer: -109, -0.2, 203\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49982?\nAnswer: 2, 67, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, -19037, 2, -3?\nAnswer: -19037","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.699999232 - 4.7. What is j rounded to seven decimal places?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -981006 or -981010?\nAnswer: -981010","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 9, 3\/31, 0, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*i + 102 = -176 + 22 + 56 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -333*u = -338*u - 35 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*k - k - 8*k)*(2 + 5 + 3 - 4)*(-377 + 35 - 226) in the form f*k + v and give f.\nAnswer: 23856","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.2736 times 71?\nAnswer: -19.4256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2929068 by -37.\nAnswer: -79164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*c - 0*a + 4*a + 6, 2*c = 4*a + 26 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, u: 4, z: 9}. What is prob of picking 4 u?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_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: Solve 7*o - 356 = -398 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 729 = -3*i, -2*t - i + 1528 = 110. Calculate the greatest common factor of t and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, t: 8, n: 1, d: 6}. Give prob of sequence da.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + 5 - (-3 + 6 - -1 - -3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23.9 - 24. Let i = j + -1.9. Suppose -3*u = -q + 13, 2*q - 4 - 18 = 5*u. Put -0.1, i, u in descending order.\nAnswer: -0.1, i, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = v - 6*v. Let t be ((-4)\/v)\/((-4)\/40). Sort t, -2, 8 in increasing order.\nAnswer: t, -2, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*x - 2*d = 22*x - 20, -4*x - 28 = -3*d for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 540040816 and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.3 - -1.3. Let p = x - 0.5. Let z = 1770568\/9 - 196730. What is the second smallest value in -0.4, z, 0.06, p?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 91922 and 263302.\nAnswer: 1558","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 20*k**3 - 10*k**2 + k + 37. Let z(j) = 21*j**3 - 10*j**2 + 36. Let m(u) = 6*h(u) - 7*z(u). Is m(-9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-21))\/((-30)\/(-35) - 1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 66 + -395\/6. Which is the nearest to 0? (a) p (b) -4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 726, 744, 788, 870, 1002, 1196, 1464?\n\"Answer: 2*j**3 + j**2 + j + 722","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -62648, -250568, -563754, -1002194, -1565876?\n\"Answer: 2*m**3 - 62645*m**2 + m - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17\/(-68) - (-2595)\/12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 + 4*b - 11)*(1049*b**2 + 1631*b**2 - 5171*b**2)*(-2*b - b + b).\nAnswer: 19928*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2 + 13*g + 17. Let j be r(-12). Suppose -1638 = -23*w + j*w. What are the prime factors of w?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -67 - -26?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2184c (base 13) to base 10\nAnswer: 60735","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 38.021 + -0.021. Let y = -34.9 + s. Let m = -3.2 + y. What is the nearest to m in -0.4, -4, -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 23.12 and -509772490.\nAnswer: -509772466.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1563, -1552, -1527, -1482, -1411, -1308?\n\"Answer: c**3 + c**2 + c - 1566","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 44900422 to the nearest integer?\nAnswer: 355","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (106\/(-18))\/(2\/22 + 0). Let n(p) = 14*p - 5. Let f be n(5). Let v = f + y. Which is the closest to -0.1? (a) v (b) 0.3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 4*f = -20, -2*f + f - 5 = 5*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 53 - 38. Let b be 2 - (4 - 25\/d). Let x = -0.3 - -0.35. Put b, 0, x in increasing order.\nAnswer: b, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i + 3*i - i.\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(-2))\/((-70590)\/2353)\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 + 8*n**2 - 16*n + 4. Let z be q(5). Let r be (-3)\/20*243086\/(-57). Let i = 639 - r. Do z and i have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 1 + 11. Let p be (m + 44\/(-12))*-9. Factor 7*n**3 - 3*n**3 + 2*n**4 + 2*n + 2*n**3 - p*n**2 - 4*n**4.\nAnswer: -2*n*(n - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92100945 to the power of 1\/3, to the nearest integer?\nAnswer: 452","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -27, 2, -193858 in decreasing order.\nAnswer: 2, -27, -193858","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.1 - 0. Let h = 50 - 246\/5. Let v(x) = -x**2 - 13*x - 11. Let d be v(-12). What is the third smallest value in d, h, s?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, s: 1, o: 3}. Give prob of sequence soo.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 28 + 37663073768.\nAnswer: 37663073796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-13) + (-2756688)\/(-253253) - 11\/1.\nAnswer: 3\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30329.\nAnswer: 13, 2333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 6*m + 18. Let k = m - -88. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*r + 14*r + 1322 = 296 for r.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -44 - -9. Let n = b - -39.4. What is n rounded to zero dps?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 4:00 AM?\nAnswer: 9:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(((-3213)\/6)\/(-17)).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 2*h. Let k(x) = 3056*x + 560. Determine k(j(d)).\nAnswer: 6112*d + 560","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -30*y - 11*y - 11*y to the form b*y + o and give b.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -689*u**2 + 790*u**2 - 1031*u**2 + (4 + 2*u**2 - 4)*(4 - 3 + 0) + 5*u**2 - 3*u**2 - u**2 + 0*u**2 + u**2 - 3*u**2.\nAnswer: -929*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -375326*r*z**2 + 169*r + 84 wrt z?\nAnswer: -750652*r*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 237, 0.4, -0.283, 3.\nAnswer: -0.283, 0.4, 3, 237","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 424456313 a multiple of 127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -79 + 76. Let s be (5\/230)\/(5\/(-16)). Let t = 3\/23 - s. Which is the closest to -2? (a) t (b) g (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18216131 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30795, 61432, 92073, 122718, 153367?\nAnswer: 184020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 8 = -3*k, 4*k + k + 4*h - 25 = 0. Let a be ((-1)\/k)\/((-2)\/(-2)). Let f(l) be the first derivative of -l**4 - l**2\/2 - 3. Calculate f(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 32252*k**2 + 2676917*k + 81. Determine i(-83).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**2 + 14*u + 54. Determine g(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 1880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - -21) + -32 - (2 + -3 + 11)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 132\/(-15) - ((-32)\/(-10) - 3). Let g = 26 - r. List the prime factors of g.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 AM and 1:39 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2a - -208ac2?\nAnswer: 208b0c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19999\/6660 + -49\/333. Calculate the common denominator of 119\/34542 and c.\nAnswer: 345420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u = i + 41, -2*u + 16936 = 2*i + 16946 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 104 and 31650372.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6346409 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2011 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79199*o**2 - 39601*o**2 - 39598*o**2 - 4*o**3.\nAnswer: -4*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 12 + 162*k + 101*k - 12 as g + s*k and give s.\nAnswer: 263","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 118023012 to the nearest integer?\nAnswer: 10864","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 4170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-9))\/(-45*(-13)\/4563)*1?\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/5 (b) 3 (c) 421\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 99\/46 and 46\/5?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1484259577?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88 = 31*a - 35*a. Calculate the greatest common divisor of 2 and a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3626.\nAnswer: 2, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 AM and 4:21 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1410 + 926. What is the common denominator of (11\/k)\/(1\/(-2)) and (-110)\/(-12)*2\/20?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -20337.844 - -15.8932.\nAnswer: -20321.9508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 329\/(-235) - 22\/(-10)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*u - 67 = -203. Let d = 1.1 + -1. Which is the third smallest value? (a) d (b) u (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 0*l = 5. Let z(w) = -w**2 - 2*w + 2. Let v be z(0). Let x(f) = 0 - v + 2 + l*f**2. Let t(k) = 2*k**2. Determine x(t(u)).\nAnswer: 20*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 45 - 13. Suppose -2*y + o + 78 = -n, 0 = -5*y + 3*o + 275. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51 - 116 + 0*w - 4*w + 65.\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -61*v**3 + 98*v**2 + 3*v + 244. Let k be h(24). What is k rounded to the nearest one hundred thousand?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8989?\nAnswer: 89, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12426\/(-266) - -47 - ((-268)\/(-7) + 1).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 - 24*b**2 - 253*b + 18. What is q(32)?\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*h + 1)*(4*h**2 - 2*h**2 - 4*h**2) - h + h + h**3 + h**3 + h**3 - 3*h**3 + 2*h**3 - 2*h**3 + 3*h**3 + (-h - 5*h + 4*h)*(2*h**2 - 3*h**2 + 0*h**2).\nAnswer: 9*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/25060 and 59\/229460.\nAnswer: 41073340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -795493 + 795494 + 873*b**3 - 2*b**2 + 0*b**2 - 117*b wrt b?\nAnswer: 5238","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 712873933 to the power of 1\/3, to the nearest integer?\nAnswer: 893","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 - 2)*(-1 + 0). Suppose m + 16 = 21. Suppose -m*z = 5*c - 5, 5*z - 3*z = -3*c. Sort z, -5, q in decreasing order.\nAnswer: z, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.6748 + -276.4252. Is 0.1 bigger than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 10) to base 16\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u - 28*u**3 - 3 - 2*u.\nAnswer: -28*u**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o - 4. Suppose -3*z = 3*q + 10 - 43, 0 = -5*q + 3*z + 15. Let d be c(q). Suppose f = 4*p + 27, -3*f = -0*f - d*p - 61. Is f a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5218 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 25 (base 15) to base 4\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - 2635?\nAnswer: -2635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*o + 62 = -45 - 123 for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 35472 to the power of 1\/2, to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -2*k**2 + k + 1. Let v be f(2). Let d = 2 + -1. Suppose 16 = 8*t - 16. Put d, t, v in ascending order.\nAnswer: v, d, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 299 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 28267333 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -39 by -343.\nAnswer: 39\/343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of z**8\/6720 + z**7\/1120 + z**6\/720 + z**3\/3 + 3. Let y(d) be the third derivative of i(d). Solve y(g) = 0 for g.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -20*h + 1 - 8 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*k**2 + 166*k**3 - 3 + 5*k**4 + 2 + k - 166*k**3 - 15*k**4 in the form m*k**2 + j + c*k**4 + n*k**3 + b*k and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4907 = 4*r + o - 6*o, 5*o = -2*r - 2431. Let m = -6113\/5 - r. Let n = 1 - 0.5. Which is the biggest value? (a) -5 (b) n (c) m (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.01 - -0.01. Let i = -144.5 + 120. Let u = i + 25. Which is the third smallest value? (a) u (b) k (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9.939 + -0.061. Is -1 > m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 51 or -6.813?\nAnswer: 51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 135 and 45?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 5 = -a, 2*a - 4*a = 3*o - 11. What is the third derivative of -c**2 - 40*c**3 - 5 + 2*c**2 + a*c**3 - 14*c**3 wrt c?\nAnswer: -300","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a micrometer in nanometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 185560 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(539)*-1 + -4 - (sqrt(704) + 5 + (sqrt(704) + -2)**2).\nAnswer: -717 + 17*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 2 = 3*d. Suppose -r + d*r = -2. Let k = -755 - -11329\/15. Is k less than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 355175975?\nAnswer: 5, 7, 11, 307, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -14aa (base 16) in base 11?\nAnswer: -3a7a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) -21 (b) 2\/39 (c) 0.1 (d) -5 (e) -53\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 4*d + 1. Suppose -8*p - 14 = -46. Suppose u - 15 = -4*j + 2*u, 5*u = 3*j - 24. Suppose j*b - 5*b - p = 0. Give q(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*z + 17*z**2 + 2*z**2 - 4*z**2 + 15*z**2 to y*z + s + g*z**2 and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11175)\/93125)\/(3\/(-350)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -20*r**2 + 41*r - 15. Let o(b) = 4*b**2 - 8*b + 3. Let a be (-3 - -2)*4 + 15. Let v(i) = a*o(i) + 2*j(i). Is 20 a factor of v(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2394 + 2418. What is the greatest common factor of 1536 and x?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, -8, -8, -6?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 169\/88744800 and -23\/861600.\nAnswer: 88744800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2370295.\nAnswer: 5, 474059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 43148 divided by 6164\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -726*j - 4273901 + 4215095 = 0 for j.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*-51.\nAnswer: 20.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 112 in -14\/25, -4, -13, -0.5, -2, 0.066?\nAnswer: 0.066","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + x + 166, x = 13*p - 15*p + 154. What is the smallest common multiple of 70 and p?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 598 is divided by 9\/((-176)\/220 + 94\/80)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23053 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 254 + 125?\nAnswer: 379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 302 + 0?\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -198064*j. Let q(c) = 2*c - 449. Determine q(i(u)).\nAnswer: -396128*u - 449","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 3*u**3 - 8*u + 5. Let c(l) = -2*l**3 + 7*l - 4. What is -4*c(k) - 3*t(k)?\nAnswer: -k**3 - 4*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 936 - 758. What is the remainder when f is divided by 31?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*f - 6 + 24*f - 20*f)*(0*f - 3*f + f)*(0 - 4 + 3 + 1 - 1 - 2 - 2 + 2 + 1 + (-3 + 0 + 2)*(-3 + 1 + 1))*(43 + 57 - 178) + (-1 - f + 1)*(-f + 0*f - f).\nAnswer: -1402*f**2 + 936*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.6 and 0.9333?\nAnswer: 1.5333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 106\/(-24)*-2 + 1\/6. Solve -p = 3*f - 3 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 21387 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2022*i + 1331*i = 20730 for i.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 261758 is divided by 52331?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.5 + 0. Let g = 9.18 - -0.12. Let o = g + -9. What is the smallest value in v, -4, o?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 161, 335, 509, 683, 857?\n\"Answer: 174*g - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2112 + -3?\nAnswer: -2121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 101111 (base 2) to base 3\nAnswer: 1202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of w**5\/20 + w**4\/30 - 8*w - 6. Let z(n) be the first derivative of h(n). Factor z(d).\nAnswer: d**2*(5*d + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*g - 505*g**3 - 1833*g**4 + 0*g**2 + 189 + 1840*g**4 + 2*g - 4*g**2 wrt g?\nAnswer: 168*g - 3030","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the third derivative of 3*s**2 + 0*s**3 + 0 + 1\/30*s**5 - 1\/60*s**6 + 0*s + 0*s**4. Factor z(h).\nAnswer: -2*h**2*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2905497.\nAnswer: 3, 7, 15373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*x = -3*x + 28. Factor 9*v**3 + 3*v**5 - 145 + 145 - 12*v + 15*v**x - 15*v**4.\nAnswer: 3*v*(v - 4)*(v - 1)**2*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -123.60181552 to one decimal place.\nAnswer: -123.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -278 + 3?\nAnswer: -275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/6, 0.5, -3\/11, -8, -41, 0.3?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 + 1)*(-201*m**2 + 782 - 782).\nAnswer: -603*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 695061?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*k**3 + 534006*k**2 + 2*k - 229414.\nAnswer: 6*k**2 + 1068012*k + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(960)*3)\/(sqrt(12) - sqrt(108)\/(sqrt(9) + sqrt(324))).\nAnswer: 14*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-32)\/(-40)*(-65)\/(-598)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 77 and 143?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -9*x**2 + x - 1. Let v(f) = -19*f**2 + 3*f - 2. Let i(a) = -5*h(a) + 2*v(a). Give i(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -3*g**2 - 5*g - 6. Let k = -174 - -168. Let y(q) = -7 + 0 - 13*q + 7*q - 2*q**2. Give k*t(f) + 5*y(f).\nAnswer: 8*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 145 - 143 - 43*z**5 - 26*z**5 + (-4*z**3 + 7*z**3 + 6*z**3)*(-2*z**2 + 0*z**2 + z**2) + 0*z**5 + 3*z**5 + 0*z**5.\nAnswer: -75*z**5 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/7 (b) -247 (c) -1\/9 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 584 + (12 - 7 - 3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3646574628?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -17fc (base 16) in base 7?\nAnswer: -23621","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 + 3*w**2 - 9*w + 11. Let q be 1\/((4\/5)\/(-4)). Let s be y(q). Let n be (-1 - -2) + 0 + 1. Solve 4*h = n*h + s for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 30939934 divided by -15469967\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(384)\/(sqrt(12)*2) - ((sqrt(32) - (sqrt(288) + sqrt(32))) + sqrt(32) + sqrt(32))**2*-1.\nAnswer: 2*sqrt(2) + 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -2*i**4 - 114*i**3 - 1786*i**2 - 4590*i - 2916 = 0.\nAnswer: -27, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46684 is divided by 676.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - 2. Let x = 15596 - 15592. Solve -x*p = -o*t + 21, 0*t - t + 2 = -3*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*c = -21*c + 420. Let m(a) = 26*a**2 + 85*a - 13. Is m(c) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-4 + 80\/15 - (-13)\/(-12))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5334*l + 20 = -5339*l + 2*m, -5*m = -l - 27 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 3 = -1. Let x be -2*(w + (-9)\/6). Sort -3, -4, x.\nAnswer: -4, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 7, p: 3, i: 2}. What is prob of picking 1 i and 1 e?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*i + 62 = -65*i - 6*r, 5*r + 40 = -i. Let g(s) = 7*s. Let c(k) = -13*k. Give i*g(q) - 2*c(q).\nAnswer: -9*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 233706 times 7\nAnswer: 1635942","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -139301 by -2.\nAnswer: 139301\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.06 (b) -117182 (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -281 + 291. Does i = 14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72 = k + 10*k + k for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 - -13. Suppose 0 = -6*y + 170 - 8. Let p = y - r. What are the prime factors of p?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 times -1330\nAnswer: -5320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 6 - 20*l + 0 - 18*l**3 - 15*l**3 - 6 - 44*l**2 - l**5 - 10*l**4 = 0. Calculate l.\nAnswer: -5, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -49227, -83163, -117099?\nAnswer: -151035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1494?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 168354336 and 96?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of -n**9\/15120 - n**8\/1008 - n**7\/180 - n**6\/60 + 4*n**5\/15 - 15*n**2. Let k(w) be the third derivative of u(w). Factor k(i).\nAnswer: -4*(i + 1)**2*(i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1643 = 5*y + 3*d + 122, 4*y = -5*d + 1222. Does 7 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -196533 - -196539. Let d(h) = h. Let z be d(-1). Let p(i) = 4*i**2 + 4*i - 2. Let k(f) = -f - f**2 + 2*f + 2*f**2. Give l*k(y) + z*p(y).\nAnswer: 2*y**2 + 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.78713kg in micrograms?\nAnswer: 8787130000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 0*t + h = -7, -2*h = -5*t + 4. Suppose 20 = -4*b, -3*a - t*b = -0*a - 875. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**2\/8 + 93*w\/8.\nAnswer: -3*w*(w - 31)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -628 - 277. List the prime factors of i.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/9 + 14\/3. Suppose n - 4*n = 0. Suppose n*u = u. Solve q + u = -m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -9*t**2 - 4*t - 5. Let l(i) be the second derivative of 5*i**4\/12 + i**3\/3 + 3*i**2\/2 - 5*i. Give 5*l(c) + 3*p(c).\nAnswer: -2*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -153989 + 153547 = 2180*r + 1617*r + 295724 for r.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 12 - 4 = 2*x, 0 = -4*x - 4*k - 12. Is x less than 0.05?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -11, -26, -49, -80?\n\"Answer: -4*u**2 - 3*u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 38 + 8 = 0. Let v = -4 - y. Suppose i + 8 + 0 = 5*o, 0 = -2*i + 3*o - v. What is the least common multiple of 9 and i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -64 - -131\/2. What is the biggest value in q, -4, -0.4, -1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 630 = 7*u. What is the highest common divisor of u and 238?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*u - 3*u - 2*u - 4*u + u + 0*u + (4 - 3 - 3)*(2*u - 3*u + 3*u) - 3*u + 4*u + u.\nAnswer: -6*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 + 35 = -2*r + 4*w, -4*r + 19 = w. Solve -r*q - 2*h + 6*h = -36, 2*h - 17 = -5*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3579)\/15509)\/(28\/(-13))?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r - 11*r - 83*r)*(r**4 + 4*r**4 - 2*r**4) + (-2*r**5 + 3*r**5 - 2*r**5)*(3 - 5 + 1) + r**5 - r**2 + r**2.\nAnswer: -271*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g = g - 1332. What are the prime factors of (g\/4)\/(2\/(-12))?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i**5 - 435*i**4 + 108795*i**3 - 216265*i**2 + 107910*i = 0. Calculate i.\nAnswer: -198, 0, 1, 109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 181 = 3*k - t, 0 = 2*k + 2*k + 3*t - 250. Let c be (-3 - -2)\/(1\/k). Let w = -42 - c. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 20.5847119 to 2 dps.\nAnswer: 20.58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*v = 2*g - 110, -413*v + g + 59 = -206*v - 202*v for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 0.3 (c) 1\/6 (d) -45 (e) 9\/4 (f) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 6222*f**2 - 17028*f + 8515*f + 8513*f as v*f + p + y*f**2 and give y.\nAnswer: 6222","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 84*v + 35. Give k(3).\nAnswer: 287","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1453.2908 - -3.1908. Let v = r + 1387. What is v rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of j**4\/4 - 2*j**3 + j**2 + 6*j + 16. Calculate the remainder when i(6) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a litre in millilitres?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 433384 - 2*l**4 - 3*l**3 + 2*l - 6*l**3 + l**2 - 433354 in the form x*l**2 + y*l**3 + u*l + t*l**4 + o and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1733 is divided by 354.\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, g: 2, n: 6, j: 1}. Give prob of sequence pp.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + -d64?\nAnswer: -d69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 4 (b) -0.187 (c) 2\/19 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(-3\/7)*(r\/((r**7\/r)\/r*r))\/r)\/(r**(-7)*r*r**(-6\/7)\/r))**(1\/6) assuming r is positive.\nAnswer: r**(23\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 24 = -3*w. Let y = w + -8. Is (-318)\/y - (-4)\/14 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and 300.4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 + 54. Suppose -10 - w = 4*f. Let m = f + 34. What are the prime factors of m?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6792 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0*(-4 + 5) + 6. Let a(o) = o**2 - o - 7. Suppose 4*b = 2*j + 54, -b - j - j = -1. Let z(l) = -2*l**2 + 2*l + 13. Give b*a(n) + d*z(n).\nAnswer: -n**2 + n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-12))\/(23\/((-2346)\/(-34)))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 - 27*i**2 + 47*i + 85. What is s(25)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 474?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**6\/(b*b**4)*b*b**(1\/2)*b\/b**6*((b**(-2\/3))**(-1\/78))**16 assuming b is positive.\nAnswer: b**(-553\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 151286958?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m. Let x(y) = y - 3. Let c(f) = -3*o(f) + x(f). Let h(n) = -6*n**3 - 179*n**2 + 31*n + 32. Let l be h(-30). What is c(l)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b + 3. Let q be d(0). Solve q = 5*a - 2*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 196800181*g - 8966*g**2 + 1 - 196800181*g + (-3*g**2 + 4*g**2 + g**2)*(0 + 0 - 1) in the form z*g + p + d*g**2 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n + n**2 - 1 + n**3 - n**2. Suppose 76 = -5*d + 91. Let o be 3\/(-3) + d*(-4)\/(-6). Let m(q) = -12*q**3 + 15*q + 15. Give o*m(y) + 15*v(y).\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, 29, -4 in ascending order.\nAnswer: -5, -4, -2, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8)\/(-32) - 2\/8. What is the second derivative of -t + 0*t - t**3 + j*t wrt t?\nAnswer: -6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 252287063 to the power of 1\/2, to the nearest integer?\nAnswer: 15884","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90067.\nAnswer: 90067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/(-2) - (-4 - (2 - 2)). Solve 3*r + 4 = a for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -153 + 156. Suppose -v*r + 200 = -r - 3*g, -5*r - 2*g = -538. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11 and 968?\nAnswer: 968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 + 4*b - 13. What is f(-6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 4, 0 = -0*n + 3*n + 3*j + 12. Suppose n = 2*x - 5*t + 28, 4*x - x = t - 29. Let m(i) = -12*i - 6. Is 17 a factor of m(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 460*p + 305*p - 386*p.\nAnswer: 379*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (46 - 51) + 0 + 1 - (-3 - 0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3 * 0.083\nAnswer: -0.249","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 5*t + 4*t - 20*t + 4. Calculate j(-3).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 81 - 46. Let c = -36 + j. Let d = -3 + 2. Is c less than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*n + 6 - 1 + 2 - 2 to d + x*n and give x.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14014*j**3*o**2*p**3 - 32*j**3*o**2*p - 3*j**2*o**3*p**3 - 104*j*o**2*p**2 - 2*o**3*p**2 + 2*p**2 wrt p?\nAnswer: 84084*j**3*o**2 - 18*j**2*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 3 + 2)*(5*q + 5*q - 5*q) - 2 - q + 2)*(4 - 2 - 1).\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 + 4*b**2 - 8*b - 6. Let t be (-23)\/5 - (-4)\/(-10). Let s be d(t). Suppose 0 = 4*z - 11 - s. Does 5 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 + 4*d + 6. Let a be m(5). Let h = 61 + -60.15. Let v = h - 1.15. What is the second biggest value in a, -3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:07 PM and 5:23 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2 + 4. Let u(j) be the third derivative of -1\/6*j**3 + 0*j - 1\/24*j**4 + 0 - 14*j**2. Give p(z) + 2*u(z).\nAnswer: z**2 - 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 149 + 2399*s - 1197*s - 149 + 15*s**2 - 1202*s.\nAnswer: 15*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 + 7 + -5 - 4. Suppose 3*r - h - 37 = x, 4*r - 29 = 5*h + 2. Calculate the smallest common multiple of r and 8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 - 4*j**2 - 3*j + 3. Let v be t(-4). Suppose -2*k = -2*m - 70, -k + 3*m + v = 7*m. Let y = k + -5. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 4*j - 3. Let o(s) = 3*s - 2. Let g(i) = -2*a(i) + 3*o(i). Determine g(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of -2*b**7\/21 + 38*b**6\/5 - 1181*b**5\/5 + 10523*b**4\/3 - 24276*b**3 + 78608*b**2 + 2265*b. What is n in p(n) = 0?\nAnswer: 2, 4, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:59 PM and 6:25 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 909107 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -5 - ((60 - 57) + (-3 - -2) + 115)?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-24)\/(-2))\/(-4) + -5. Let c(g) be the second derivative of -g**3\/6 - 4*g**2 - g. Let b be c(n). Solve -m - 3 + 0 = b for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g. Let o(c) = -6*c**2 - 2*c. Let w(m) = -4*h(m) + 2*o(m). Let d(x) be the third derivative of 35*x**4\/24 + 345096*x**2. Determine w(d(y)).\nAnswer: -14700*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*j - 5*i + 7 = -12*j, 0 = j - 4*i - 28. Solve -h + 3*h = -j for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -n - 3*n - 40, -3*x = -2*n - 34. Let z = 33 + -31. What is the smallest common multiple of x and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 286572 and 132.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 162 a factor of 792053?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -462 by 231.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/4)\/((-3)\/(-30)). Let f = 8 - k. Calculate the remainder when 3 is divided by f.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 198475020?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -975062, -975063, -975064?\nAnswer: -975065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -33 + 18. Let m = 89 + w. Let y = -74.01 + m. Which is smaller: -0.3 or y?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 p when three letters picked without replacement from ivizzzipiiiviiiiiii?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4649 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 + 7.9. Sort -4, z, -5\/3, 1\/8 in ascending order.\nAnswer: -4, -5\/3, z, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -3*s**2. Let a(f) = -15122*f**2. Give a(q(j)).\nAnswer: -136098*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 5*r**3 - r**2 - 4*r + 5. Let g(k) = 6*k**2 - 1. Let x be g(-1). Let p(z) = 4*z**3 - 4*z + 4. Let q(w) = x*t(w) - 6*p(w). Is 17 a factor of q(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 + 2*z**2 + 2*z - 1. Let c be s(3). Let o be 13 + 5\/5 - c. Solve 0 = -5*b + 14 + 6, -3*b + o = -2*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (2 + 1 + (0 - -6))) + 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(11))**2*5 - (sqrt(11) - -1*(sqrt(11)*1 - sqrt(11)) - sqrt(11)).\nAnswer: 10*sqrt(11) + 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 145776?\nAnswer: 2, 3, 3037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 201 - 2491 = 229*y for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -70*p**2 - p. Let o(x) = -71*x**2 - x + 1. Calculate 3*g(t) - 2*o(t).\nAnswer: -68*t**2 - t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (0 - (11 - 6 - 5)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 9302, -1, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -101010110001000110111 (base 2) to base 16\nAnswer: -156237","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -198 + 380. Let p = c + -119. Let i = p + -59. Solve -3 + i = -b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 23394 and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence moz when three letters picked without replacement from zoozzzzzzmmz?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 513245 or 513226?\nAnswer: 513245","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/(-21) + (-30)\/(-7). Suppose -5*f = -28 - 22. Let a = f + p. What is the smallest common multiple of a and 12?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxororxurlxu. What is prob of sequence xxx?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 136508?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in twenty-six fifths of a kilogram?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n + 69. Let c(l) = -l + 71. What is 5*c(k) - 4*o(k)?\nAnswer: -k + 79","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 148026481?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*-1443562.78.\nAnswer: -433068.834","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 382389 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 241*l + 237*l - 464*l - 70 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -50.41687 rounded to the nearest integer?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the third derivative of -32*v**7\/105 + v**4\/8 - 100*v**3\/3 + 283*v**2. Find the first derivative of w(a) wrt a.\nAnswer: -256*a**3 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -349480, -349474, -349468, -349462?\nAnswer: -349456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-one eighths of a century?\nAnswer: 3150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/4 or -108?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {g: 4, u: 3, b: 3, y: 4, n: 3}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/a**3)\/(a\/(a*a**(3\/2))*a*a))\/(a\/(a**(-2\/7)*a))**(-36))\/((((a\/(a*a**(-4)))\/a)\/a**(1\/6))\/(a**(-5)*a*a\/(a**(4\/5)\/a*a*a))) assuming a is positive.\nAnswer: a**(16\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 165354571 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1400411 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Do 52 and 6 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00030878 to five dps.\nAnswer: 0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - w = w + 20, 22 = -3*r - 5*w. Let k be r\/(-21)*(-9)\/(-2). Suppose -6*n + 2*n = 0. Solve -z + 18 = -5*o, n = -6*z + 4*z - k*o - 3 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 32927, 32082, 31237?\n\"Answer: -845*v + 33772","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 2 = -3. Let q(x) = 22*x - 7. Let n be q(21). Let r = 11373\/25 - n. Is r > t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1817a (base 16) to base 2.\nAnswer: 11000000101111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the first derivative of -3\/5*s**5 - 3\/2*s**4 - 9*s + 4*s**3 - 11 + 3*s**2. Factor d(f).\nAnswer: -3*(f - 1)**2*(f + 1)*(f + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes before 12:15 AM?\nAnswer: 5:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3096684 by -1082.\nAnswer: 2862","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1403 - -1402.95. Which is the second smallest value? (a) -3 (b) -2 (c) p (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 3) + 1 + 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11380293 to the nearest integer?\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 3*d + 47, h + d - 87 = -2*h. Solve h*j - 30*j - 8 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3, -1\/8, 173, 158 in descending order.\nAnswer: 173, 158, 1, -1\/8, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 to the power of 1\/10, to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - -84. What is the least common multiple of 16 and v?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 619*r - 112*r + 147*r as j + w*r and give w.\nAnswer: 654","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 14 = 42. Let p(j) = 2*j**3 - 3*j**3 + 7*j - 58*j**2 + 50*j**2 + d + 2*j**3. What is p(7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(96)\/(sqrt(8) + (sqrt(88) + sqrt(88) + (sqrt(88)*2 + sqrt(88) - sqrt(88)))\/sqrt(11)))\/((sqrt(540)*-1)\/sqrt(10)))**2.\nAnswer: 2\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 162540 and 86?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -21*v**3 + v**2 - 2*v - 3. Let t be o(-1). Differentiate 3 + 3 - 17 + t*d + 9 wrt d.\nAnswer: 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yp when two letters picked without replacement from spsppsssguyxssus.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 2 l, and 1 b when four letters picked without replacement from {m: 6, l: 2, b: 7}.\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(700) - (((-4 + sqrt(700))**2 - sqrt(700)) + 5)) + (5*(-2 + sqrt(7) + sqrt(7))**2 - (-3*sqrt(77) + sqrt(77))\/sqrt(11)) + -2.\nAnswer: -562 + 62*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2. Let i(l) be the second derivative of 4*l**3\/3 + 9*l**2\/2 + l + 8. Determine i(p(o)).\nAnswer: 8*o**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5151 by -1717.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6883 - 1303?\nAnswer: 5580","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 752\/423 + ((-8)\/96)\/(3\/(-8)). Which is the second smallest value? (a) -0.102 (b) 2\/7 (c) l (d) 1 (e) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j**(-12)*j*j)**(1\/10)\/(j*j\/(j\/(j**29*j))*j*j**(1\/3)*j) assuming j is positive.\nAnswer: j**(-512\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.57 + 1.63. Let k = a + -1.2. What is the smallest value in -1, k, 3\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (((sqrt(210)\/(sqrt(7) + sqrt(7)*3) + sqrt(30))\/sqrt(2))\/(-4*(sqrt(5) - sqrt(500)*-1)))**2*-5.\nAnswer: 30601\/30976","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = l + 3*i, -28 = -4*l + 2*l + 4*i. Suppose 0 = 3*w + 3*x - 36, 4*x - 12 = 4*w - 60. Calculate the greatest common factor of l and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 4*i = -0*i + 268, -3*i = 2*j - 124. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 179845798?\nAnswer: 2, 11, 1607, 5087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8.4, -0.5, 3227 in increasing order.\nAnswer: -8.4, -0.5, 3227","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*u - 6*u - 12*u - 9*u.\nAnswer: -10*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -12*u + 324. Let y(l) = -7*l + 4. Determine -q(k) + y(k).\nAnswer: 5*k - 320","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-6))**(-36) assuming b is positive.\nAnswer: b**(-252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*0\/(15 - 7). What is the closest to m in 0, -7\/2, -0.4, 2\/11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 + 11090\nAnswer: 11089.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 173 divide 5286?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 3 = -3*u - 8, 3*u - x + 13 = 0. Let z be 1 + -3 + (-10)\/(u\/2). What is the closest to -1\/2 in z, 4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -1 + -6 + 9 + 7 + -11.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 + 2 + 6*f + 0*f**2 + 0. Let s be q(-6). Suppose -4*v = 3*n - 54 - s, 0 = -v - 2*n + 19. Calculate the lowest common multiple of 3 and v.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -265 (b) -501 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -23456.000010163 - -23456. What is m rounded to 6 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 103 + -84. Suppose -3*c = 5*j - 51, j = -6*c + c + y. Let o = 45 + j. Does 9 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 7*w**4 + 10*w**4 + 2*w**2 + w**2 - w**2 to the form v*w**3 + q*w**4 + a*w**2 + h + g*w and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (398*i**4 + 2*i**5 - 405*i**4 + i**5)*(0 - 4 - 1).\nAnswer: -15*i**5 + 35*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 238 = -1542. Calculate the common denominator of -13\/8 and 2\/(-5 + 2025\/z).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = -6*t + v, -4*t - 24 = -5*v - 34 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -467906\nAnswer: -5\/467906","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yfwj when four letters picked without replacement from jyxfnfww?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4734797.\nAnswer: 4734797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-62)\/16 + (-1551)\/(-423))*8\/20.\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 2*x + 2 - x + 2. Let u be m(-2). Let y be -1 - (3\/3 - 20). What is the highest common divisor of u and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -58 + 61. Suppose 2*i - 19 = -a*u, -3*i - i + 3*u + 11 = 0. Is 14 a factor of i\/((-5)\/3)*92\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-148263*u - 496*u**3 + 148263*u)*(2 + 1 - 1)*(3 - 3 + 1) in the form k*u + a + i*u**2 + b*u**3 and give b.\nAnswer: -992","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 403 a factor of 266275?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -5, 0.54, -1, 8 in descending order.\nAnswer: 8, 0.54, -1, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2200205?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 637 is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -3*p. Let y(m) = -131*m**2 + 38*m + 20. Let j(i) = 44*i**2 - 12*i - 6. Let k(d) = 10*j(d) + 3*y(d). Determine k(z(h)).\nAnswer: 423*h**2 + 18*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5765 is divided by 1441.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -10, -641.2, -0.3, -2\/7, 6?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*h = 279 - 150 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13*1\/78*-3*(-17 - 1).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -121, -282, -777, -1774, -3441, -5946, -9457, -14142?\n\"Answer: -28*t**3 + t**2 + 32*t - 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2525?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(2) + sqrt(2)*-2)*-5)**2 + ((-1 + sqrt(98))**2 - (-6*(sqrt(8) - sqrt(2)))**2).\nAnswer: 6*sqrt(2) + 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 - 10.5. Which is the closest to 0.1? (a) -0.2 (b) 3 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2725076\/149 - 18289. Let o = t - -4991\/745. Factor 44\/5*s**2 + 56\/5*s**3 + 2\/5 + 8\/5*s**5 + o*s**4 + 16\/5*s.\nAnswer: 2*(s + 1)**4*(4*s + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3091 is divided by 770?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*x = -32*x - 2 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 4*a - 4 - 12, 5*a + 3*s - 20 = 0. Let m = a + 1. Suppose -5*p - 8 = z - 5*z, m*z = 3*p + 23. Does 3 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1784 and 8326820?\nAnswer: 892","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand y**3 - y**2 + y**2 + (-4*y**3 + 2*y**3 + y**3)*(1 - 3 + 0) + (22 - 6*y**2 - 22)*(0*y + 0*y - 2*y).\nAnswer: 15*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand i**4 - 6*i**4 + 2*i**4 + (-3*i**4 + 3*i**4 - 2*i**4)*(0 - 1 + 3) - 4*i**4 + i**4 + i**4 + 1 - 2*i**4 - 1.\nAnswer: -11*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwxwxwdud. What is prob of sequence wd?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -82*i**4 - 5*i**3 - 137*i**2 + 700053 wrt i?\nAnswer: -328*i**3 - 15*i**2 - 274*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -491426, -982853, -1474280, -1965707?\nAnswer: -2457134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 377367020 - 9.7416.\nAnswer: 377367010.2584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -151 - (-117 - -1 - -37)?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 5 = 3*h, -2*h - 2*h + 20 = 4*n for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, u: 2, f: 1, k: 1}. What is prob of sequence muk?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19 - -20. Find the common denominator of t and 85\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 2*v + 0*v - 2 - 1. Let i be w(4). Let y(f) = -13*f**3 + 6*f**3 + 3*f**3 - 6*f**2 + 6*f - 5 + 5*f**3. Give y(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 + 4 - 0\/3. Suppose -o*f + 3*f = 0. Solve -q + 1 = -f for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 552 + -394. Let c be (-2)\/11 + 0 - p\/(-22). What is the units digit of 20*9\/c + 20\/70?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of n**4\/24 + n**3\/2 + 7*n**2 + n. Let v(m) = 1. What is -o(g) - 2*v(g)?\nAnswer: -g - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -19*j + 2. Is s(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3495 = -248*a - 1713 for a.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 989 + -896. What is the greatest common factor of y and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-6) + (-23)\/30. Let k = -2\/193 - -404\/1737. Let g = -145\/4 + 36. What is the third smallest value in k, g, r?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/6 and 1351\/308 + (-2)\/8.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1613, -5, 0.06?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -249 (b) 100 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 59*d**2 + 4*d + 6. Let z(q) = -q**2 - q - 1. Give -f(o) - 6*z(o).\nAnswer: -53*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6582\/(-90))\/(-3 - -2). Let o = -73 + l. What is the second biggest value in -0.1, 0.2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 208937, 209452, 209967, 210482?\nAnswer: 210997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes before 3:39 AM?\nAnswer: 5:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*v**2\/8 + 697449*v\/8 - 116241\/4.\nAnswer: -3*(v - 77494)*(3*v - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 4)*(1 + 1 - 4)*(-3 + 5 - 3)*(1 - 1 - w).\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n - 186 - 843 = 0. What is the hundreds digit of 1250\/7 - (-84)\/n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-3\/4)\/(g**(-8)\/g)*(g**(-1\/2)*g)\/(g*g**8) assuming g is positive.\nAnswer: g**(-1\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 7, k: 9}. Give prob of picking 1 h and 3 k.\nAnswer: 21\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 3 + 29 + -38?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8750.835ml in litres?\nAnswer: 8.750835","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (1\/3)\/(7\/(-119)*-51)\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 5*w + 30 = -8*w, 2*w + 10 = 0. Suppose 11440000 = -f*t + 7*t. What is t rounded to the nearest one hundred thousand?\nAnswer: 2900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, c: 1, p: 1, w: 1, h: 1, d: 2}. What is prob of picking 1 s and 1 d?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - 3*b + 0 + (-4*b + 171*b + 57*b)*(-1 - 2 - 2).\nAnswer: -1123*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2422*s = -2404*s + 54 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 215*s = 213*s + 36. Let g(w) = w**2 - w - 5. List the prime factors of g(s).\nAnswer: 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-32*j + 27*j - 1 - 42*j)*(3*j + 2*j**2 - 3*j) + 14*j**3 + 16*j**3 - 6*j**3 as z*j**2 + t*j**3 + d + f*j and give t.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 516381 to the power of 1\/3, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.06 - -0.16. Let p = w + 0. Sort -3, p, -2\/11 in descending order.\nAnswer: p, -2\/11, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n. Suppose 0*o + o = 0. Let s be v(o). Suppose 5*l - 2 - 13 = s. Calculate the least common multiple of 8 and l.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of l**3 - 11546*l**2 - l - 3848 wrt l?\nAnswer: 3*l**2 - 23092*l - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 290654.4 millilitres?\nAnswer: 290.6544","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 186 divided by -2\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppodadpddpppppppaph. Give prob of picking 1 d and 1 p.\nAnswer: 44\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c + 6. Let m be q(0). Suppose 0*a = -2*a - 4*o, 2*a - m = 2*o. Solve -2*z + 2 + a = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 12 = 5*d + 8, 3*n + 15 = 4*d for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xiyr when four letters picked without replacement from yrbxirfbiib?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + 212\/(-30) - (-2)\/3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 66\/14 + (-12)\/(-42). Let q(g) = 4*g**2 - 4*g + 6. Let c be q(x). Let u = -24 + c. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 12 = -5*v. Suppose -u = -1, -2*u = o + v*u - 7. Suppose 3*z = o*z + 25. Does 10 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*c**4 + 232*c**3 - 652*c**2 + 672*c - 144 = 0. Calculate c.\nAnswer: 2\/7, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -11*y. Let d(s) be the third derivative of -s**4\/12 - 12*s**2. Determine d(b(q)).\nAnswer: 22*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 2474*y - 2469*y - 23 = 0, 0 = 2*v - 2*y - 16 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 2*i + 6. Let z = 359 - 194. Suppose 3*w - z = -i*w. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-15)\/(-50)*4\/(-9). What is the fourth smallest value in 3\/5, 2\/15, s, -2?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 - 22*s**2 + 21*s + 3. Let t be y(21). Suppose 5*z + 3*q = t*z + 4, 0 = -3*z + 4*q + 6. Sort -3, z, -8.\nAnswer: -8, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 0 + 14 - 3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 28 - 19. Suppose u*l - 2734 = 524. What are the prime factors of l?\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69 is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z. Let p(b) = b**2 + 7*b - 5. Let k(w) = -p(w) + 3*s(w). Let m be k(-4). Suppose -m*r + 5 = -0*r. Let o(q) = -q + 1. Give o(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3007?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 4 = u - 5*u, 2*i - 2 = u. Solve -18*n + i*n - 15 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (0 - (-3 - -2)) + 1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*y - 1007*y**3 + 11*y - 14*y - 59*y**2 + 3*y**4 - 31*y**2 + 5 + 20*y**2 wrt y.\nAnswer: 72*y - 6042","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5566876 a multiple of 1328?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnlnkebklknie. Give prob of picking 1 i and 1 e.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sms when three letters picked without replacement from tmsoosmzossmtdmzddot.\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 3*v**2 - 6*v + 6. Let x be k(6). Suppose -3*l = -8*l + j + x, -5*l + 4*j + 87 = 0. What are the prime factors of l?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of 0*q**4 - 6*q**3 + 0*q + 0*q**2 + 24\/5*q**5 - 24. Find the third derivative of y(w) wrt w.\nAnswer: 576*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -13, -3\/7, -3, -4?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -56*u**2 - 23*u + 6. Let a(h) = -19*h**2 - 8*h + 2. Let k(q) = 17*a(q) - 6*p(q). Let t be k(1). Let g = t - -213. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y - 2*y - 3*y)*(-3*y - y + 2*y) + 0*y**2 + 2*y**2 + y**2 + 0*y - 2*y**2 + 0*y.\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -3*x. Let t(y) = 6*y + 4 + y**2 - 4. Let a = 0 + -3. Let g(u) = a*t(u) - 5*i(u). Find the second derivative of g(b) wrt b.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2256334 is divided by 781?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, p: 4, y: 2}. Give prob of picking 2 y and 1 p.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5586688 is divided by 751?\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 > -2\/87?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19 + 19.4. Let d = -238283\/39 - -6113. Let l = d - 24\/13. Which is the third biggest value? (a) y (b) 0.6 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 3 a when four letters picked without replacement from uuauuuuqququguu.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.99 and 70244.\nAnswer: 70244.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 76 + -1442\/19. Let q = -8.1 - -8. What is the closest to q in -4, v, -1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 - 2*h**2 - 1 - 2*h**2 + 1 + (-1 - 2*h**2 + 1)*(-5 - 1 + 4) - 10*h**2 - 10*h**2 + 2*h**2.\nAnswer: -18*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 1283 = 255*m, -5*m - 427*d + 422*d = -45 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -ad5 - 52?\nAnswer: -b47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1943.37483 and 0.03325?\nAnswer: 1943.40808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/63*14\/(-6)*(-97)\/291?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (m + 2 - 2)*(-1 + 1 + 2*m) + 42*m**2 + 30*m**2 + 32*m**2 to the form n*m**2 + d + x*m and give n.\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 127598?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1741 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -21*t. Let z(x) = 4187761*x. Determine z(v(p)).\nAnswer: -87942981*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 13 + 1196*s - 3 + 8 - 1198*s. Let h be z(4). Solve b + b = -h for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*y + 150 = -18*y. Let g = 28 + 2. What is the highest common divisor of g and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 825?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -19*x - 106. Let j be 2\/3 + 34\/(-6). Sort j, x, 3.\nAnswer: j, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9288 and 46440.\nAnswer: 46440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 3:30 PM?\nAnswer: 5:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-40)\/(-6) - (-95)\/(-57). Let x be (-8)\/(-3)*(3\/(-6) + -1). Suppose -3*q - 2 + 5 = 0. Put x, 2, u, q in increasing order.\nAnswer: x, q, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1376*p**2 - 696*p wrt p?\nAnswer: 2752","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2599 and 43957.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -364.508625 to the nearest 10.\nAnswer: -360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/14*-7 + 0. Solve -4 = g*b - 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (1 + 0)) + 49 + -45?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 - 1. Let m be h(1). Suppose 6*x - x + 3*r - 23 = m, 0 = x + 5*r + 13. Do x and 8 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 4*g + 3, -3*c + 5*g = -1. Suppose 3*s + 0*d - 605 = c*d, -2*d = 2*s - 390. What are the prime factors of s?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 l when two letters picked without replacement from {l: 4, k: 7, r: 3}.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + -1103333331?\nAnswer: -1103333324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94\/((7 + (-12)\/2)*(-6)\/(-12)) is divided by 56?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -49*x + 31. Let k(l) = 45*l - 35. Determine 8*f(u) + 7*k(u).\nAnswer: -77*u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, j: 2, n: 2, u: 2}. What is prob of picking 1 n and 2 v?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6726.3184 + 6707. What is i rounded to zero decimal places?\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 + 151*w + 2077. What is j(-16)?\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c + 2*c - 3*c)*((1 + 0 + 0)*(-2 - 3 + 3) + 0 + 0 - 2 - 2 - 3 + 2 + (-3 + 4 + 1)*(-2 + 1 + 2) + 2 + 5 - 6).\nAnswer: -8*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the third derivative of i**5\/12 + 7*i**4\/24 + i**3\/3 - 6*i**2. Factor m(l).\nAnswer: (l + 1)*(5*l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21314, -21313, -21312, -21311?\nAnswer: -21310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2651238?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -825 - -831. Solve 0 = 11*a - 27 - b for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2152?\nAnswer: 2, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2755 and 95.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*h**4 + 1658760*h**3 + 137569260510*h**2 - 825460350120*h + 1238212918845 = 0. Calculate h.\nAnswer: -165879, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5671?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 + 142*v**2 + 18*v + 2585. What is p(-142)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104)\/(sqrt(28)\/sqrt(7)*2 + sqrt(4)))\/(sqrt(64)\/sqrt(128)) + -1.\nAnswer: -1 + 2*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 + q**2. Give r(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -302881 or -302883?\nAnswer: -302883","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 + 2*y**2 + 2*y + 2. Let l be i(2). Solve -8*p + l*p = -8 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-4) - (-4 + 75\/10)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that k**3\/4 + 304169*k**2\/2 + 1216673*k\/4 + 152084 = 0.\nAnswer: -608336, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(-8) - (-2)\/(-8) - -2. Let t = -5\/2 + b. What is the nearest to 0.1 in -1, 1, t?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8\/28 - (-206)\/14. Suppose -3*b + 0 + j = 0. Solve -b*t + 2*z = 1, t + 3*z = -0 - 7 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11)\/2 + 1)\/((-5)\/(-14) - 464\/(-928))?\nAnswer: -21\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1578880577 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0011091611 to four decimal places.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the second derivative of -h**5\/20 - h**4\/6 - h**3\/6 + h**2 - h. Suppose 50 = 89*d - 127 - 1. Give u(d).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 826 + -807. Which is smaller: 24 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -e66a (base 16) to base 3\nAnswer: -2222220200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 - 11 - (7 + 1 - 16)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 4, r: 16}. Give prob of picking 3 r.\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 40430400 (base 5) to base 13\nAnswer: b5a9c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.11119356 to one decimal place.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 299743411 and 62909.\nAnswer: 8987","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m**3 + 13*m - 3399*m**2 + 18*m - 5*m - 26*m + 3399*m**2.\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -20767, -20765, -20763?\n\"Answer: 2*z - 20769","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the third derivative of t**7\/1260 - 5*t**4\/24 - 5*t**2. Let w(s) be the second derivative of j(s). Let n(u) = -2*u**2. What is w(n(a))?\nAnswer: 8*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 6*w + 2*w = 96, 51 = d + 5*w. Let k = d + -24. Calculate the highest common divisor of 72 and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1309, 821, 329, -167, -667, -1171, -1679?\nAnswer: -2191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (203\/14616)\/((-1)\/(-16))\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 800983 is divided by 63?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 20 = 2*s. Suppose -2*u - s*v = -10, v + 2*v = 6. Sort 2, u, -3 in decreasing order.\nAnswer: 2, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand z + 2*z - z + (-2 - 1 + 1)*(-9*z - 20*z + 8*z).\nAnswer: 44*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 + 14 + 42*r.\nAnswer: 42*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 6*l - 9. Suppose -2*f - l = -5*f. Solve b + 0*q - 2*q = -f, 0 = -4*b + 5*q + 5 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 102430?\nAnswer: 2, 5, 10243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 m when two letters picked without replacement from ddhmhx?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-11)*z*z*z**37)**(6\/11) assuming z is positive.\nAnswer: z**(168\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 2*p - 2. Let l be (-6)\/p - 65\/(-3). Let x be l\/(-36) + 1\/4. Put x, -0.5, -0.2 in descending order.\nAnswer: -0.2, x, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4543 and 231.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 189 and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 3) to base 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (-4 + 0 - (6 - 8))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 28.05 - 93. Let t = -180.18 + u. Let l = t - -242. Round l to one decimal place.\nAnswer: -3.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -269 greater than -269?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1350*q - 41*q**2 - 1350*q + 3 + 27*q**2.\nAnswer: -14*q**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*d**3\/4 + 4260963*d**2\/4 - 7101680*d + 11836175 = 0.\nAnswer: -473447, 10\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1010*p**2 - 37*p**2 - 48*p**2 + 1783*p + 788*p**2 - 270*p**2 wrt p?\nAnswer: 2886","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.6 (b) 0 (c) -0.02 (d) -1\/4 (e) 89 (f) 0.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 5533.5 micrograms?\nAnswer: 0.0000055335","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.1, 46.9, 2, 5, -1\/5 in ascending order.\nAnswer: -1, -1\/5, -0.1, 2, 5, 46.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 9, -1, -19, -45, -79, -121, -171?\n\"Answer: -4*g**2 + 2*g + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, 212, 1.\nAnswer: -2, -1, 1, 212","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 56 + (-81 + 81 + (-3 - -6) - 7)\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 6*u**2 - u - 4. Let y(s) = -7*s**2 + 6. What is -6*v(m) - 5*y(m)?\nAnswer: -m**2 + 6*m - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -110, -235, -386, -575, -814, -1115?\nAnswer: -1490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28602\/10 - (-7)\/(-35)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 28 + -9. Let v = 25 - m. Solve v = 3*u + 3*g, 29 + 2 = -2*u + 5*g for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7508 is divided by 7424?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4272674.\nAnswer: 2, 7, 83, 3677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Do 9660\/5857 and 3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jtb when three letters picked without replacement from {j: 5, t: 2, b: 4, i: 1, u: 2}?\nAnswer: 5\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 277128 and 216?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.87 - 0.11. Let b = j - 0.02. Let k = 0.1 - -0.4. Sort 4, b, k in ascending order.\nAnswer: b, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 447102613 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -10722 - -0.120254609?\nAnswer: -10721.879745391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((j*j**24)\/j)\/(j\/(j*j*j*(j*j**(21\/8))\/j*j)))**41)**(4\/7))**(-26) assuming j is positive.\nAnswer: j**(-126321\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 2\/13, 200 in increasing order.\nAnswer: 2\/13, 8, 200","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13611 is divided by 618.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 59, 117, 175?\nAnswer: 233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, h: 5, a: 1}. What is prob of sequence ah?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 170816 rounded to the nearest 1000?\nAnswer: 171000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2683195?\nAnswer: 5, 17, 31567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -242313, -242389, -242463, -242535?\nAnswer: -242605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (5 + -7)\/((-2)\/(-17)). Let t = 13 + a. Let w(h) = 6*h - 4. Let r(x) = 5*x - 3. Determine t*w(f) + 5*r(f).\nAnswer: f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 9*z + 16 - 3 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/3)*y)**13\/(y**(-8)*y*(y*y\/(y\/(y*y**(2\/11)*y*y))*y)\/y)*((y\/(y\/(y**(-3\/2)\/y)*y)*y)\/(y\/(y\/(y*y**5)*y)*y))**50 assuming y is positive.\nAnswer: y**(-13217\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -3*j - j. Let g = j + -11. Suppose g*f + 43 = q, 0 = -q - f + 2*f + 31. List the prime factors of q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the third derivative of c**4\/24 + c**3\/3 - 46*c**2. Calculate the lowest common multiple of 11 and n(0).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 6 - 47*v.\nAnswer: -47*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -148124*p + 7*p**4 - 14*p**3 - 16*p**2 + 148124*p - 10*p**4 = 0.\nAnswer: -8\/3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(136)*-2)\/sqrt(8) + 4)**2 - ((1 + sqrt(2057))*-6)**2 - (-3 + 6*((-1 + sqrt(2448) - sqrt(2448)) + 4)).\nAnswer: -74019 - 808*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 2*c - 2*a + 15 = 0, a = c. Let h = -14 + 8. Calculate the least common multiple of h\/18 - (-61)\/c and 14.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52951 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 84 (b) -0.1 (c) 2 (d) -735 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 692083 is divided by 36378?\nAnswer: 901","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -181*l**2 + 60 + 2913*l**4 - 2898*l**4 - 5*l**5 - 20*l + 106*l**2 + 25*l**3 = 0.\nAnswer: -2, -1, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -232 divided by 2526227.\nAnswer: -232\/2526227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -19447 divided by 1920?\nAnswer: -19447\/1920","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 609 is divided by 58?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -25000 divided by 1\nAnswer: -25000","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2 - 44*w + 364. Give i(-46).\nAnswer: 272","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 8*w = -12*w - 128, z - 3*w = 64. Calculate the common denominator of ((-8)\/z)\/(729\/90) and 19\/4.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15 - 15)\/(-8) - 12\/(-18).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 621 = 189. Let t(f) = -35*f. Let u be t(2). Let m = u + g. What is the highest common factor of m and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 + 6*m**2 + 7*m. Let u be r(5). Let y = u - 26. Calculate the highest common divisor of y and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 80 - 77. Let y be (75\/(-10) + 6)*(-2)\/w. Calculate the greatest common divisor of 16 and y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 3, -2\/29, 8, -12, 5?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-60)\/24*(-7 - (105219\/1662)\/(-9)) and -43\/12.\nAnswer: 3324","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + 2. Let j be (v - 1)*(-51)\/6. Let i(q) = -2*q**2 + 3 + 0*q**2 + 13*q - q - 4 - 7*q. Let c(d) = -6*d**2 + 14*d - 3. Calculate j*i(t) - 6*c(t).\nAnswer: 2*t**2 + t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3*((-10)\/50 + 0). Which is the closest to -1\/2? (a) g (b) 6\/11 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2750 and -968.\nAnswer: 2662000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 5*j + 1458 = j, -5*t + 4*j = 1482. Let d be (1\/3 - 2)\/(35\/t). Calculate the highest common factor of 42 and d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 54 times 5169.5\nAnswer: 279153","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -90*z + 620. Let w(p) = 15*p - 103. Let q(l) = -4*r(l) - 25*w(l). Is q(0) a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 262061.1 years in millennia?\nAnswer: 262.0611","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 - 10*q**2 - 10*q - 13. Let z be (-1)\/(((-9)\/3)\/33). Let f be v(z). Let k be (1\/f)\/((-5)\/50). Solve 2*o = 2*g - k*g + 13, -3*o + 11 = -4*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/24*432\/(-90)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 992.\nAnswer: 5\/992","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 - 12 = -5*p - 3*r, p - r - 4 = 0. Suppose p*f = -0*f. Solve 0 = -3*n - f - 9 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.2 + 4.19999932. Round y to 7 decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vfvffffffffff. What is prob of picking 1 v and 2 f?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -2*w**2 + 15*w + 23. What is y(13)?\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the second derivative of -k**5\/20 + 23*k**4\/12 + 5*k**3\/6 + 19*k**2 - 4*k + 4. Let b be r(23). Calculate the highest common factor of 34 and b.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/(-6)*1*-62. Let m(j) = -12*j - 56. Let k be m(-9). Let n = k + d. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-35 - -43) + (-17 - -17)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -2188*g + 4305. Determine m(2).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 10*b**2 + 87*b + 109. Let d be m(-7). Sort 1, d, -3, 60 in ascending order.\nAnswer: d, -3, 1, 60","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 888.\nAnswer: -1\/222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -47128, -47523, -48180, -49099, -50280, -51723, -53428?\nAnswer: -55395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 123224022?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -44455 by 5.\nAnswer: -8891","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**2 - 2*p**4 - 2*p**2)*(1 + 1 - 1)*(-98 - 150*p + 98).\nAnswer: 300*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a kilometer in meters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.06 - -1.94. Let u = -5 + n. Let t = -11 - -43\/4. Which is the nearest to t? (a) u (b) 0 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 - 7*n**2 - 7*n - 7. Let g be f(-6). Let v(l) = -l + 2. Let y be v(7). Let c = g - y. Solve -q + 21 = 5*i, 3*i = -c*q - i + 4 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 822180 to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(171) + 1*sqrt(171) + 2 - (-4 + sqrt(171)*1)) + -5*(sqrt(171) - (4 + -1 + sqrt(171))))**2.\nAnswer: -3060 - 630*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*a - 17*a - 39*a + 79*a + a**3.\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, q: 3}. Give prob of picking 2 l.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.6 (b) -0.4 (c) -4 (d) -9\/11 (e) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, p: 1, i: 2, q: 3, x: 10}. Give prob of picking 1 p and 1 i.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -66 - -64. What is the closest to -0.02 in -0.5, -1, c?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3742, 19, 22.\nAnswer: -3742, 19, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - 6) + 6 + 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2020, 2021, 2022, 2023, 2024?\n\"Answer: q + 2019","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 - 6*r**2 - 6*r - 5. Let d be m(7). Let w be -10*(3 - d)*-14. Suppose 0 = 2*p + 3*p - w. Is 14 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105 = 1176*z - 1191*z for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 4*g + 16, 2*k - g - 4*g = 20. Let a(t) be the second derivative of 1\/2*t**2 - 1\/6*t**4 + k*t**3 + t + 0. What is the derivative of a(y) wrt y?\nAnswer: -4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6939317887 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001001000000 + 101?\nAnswer: 1001001000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 199886538 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*q - 619*q**2 + 7*q + 37*q**2 - 2*q to k*q + h + i*q**2 and give i.\nAnswer: -582","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 11 = 2*q, 3*o + q + 21 = -2*q. Let t = 12 + o. Let r(z) be the third derivative of z**4\/24 + z**3\/2 - 6982*z**2 + 2*z. Determine r(t).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 60, 122, 184?\nAnswer: 246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 9.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -322, -576, -834, -1096, -1362, -1632, -1906?\n\"Answer: -2*b**2 - 248*b - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -288 = -118*h + 22*h. Let x(d) = d**3 + 2*d**2 - 7*d - 1. Calculate x(h).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 5:28 AM?\nAnswer: 1:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of (-3)\/(-3 + (454\/(-448) - -4))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8*1*2*(-1)\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39091 is divided by 9699.\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of -s**9\/3024 - s**8\/840 + s**6\/180 + s**5\/120 - 2*s**3 - 4*s. Let u(c) be the second derivative of o(c). Factor u(r).\nAnswer: -r*(r - 1)*(r + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + g = -4*o - 5, -3*g - 8 = 4*o. Suppose -2*a = r + o, -2*a - 4*r + 3 - 1 = 0. Does 11 divide (2\/(-1) - a)*(-363)\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from ztmlmtmtztmdmmzzm.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.9 and 7493575.\nAnswer: -6744217.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-630)\/75*(-10)\/4. Suppose b + 3*b = 96. Solve -m - 4*m - 2*o = f, -4*m - b = 4*o for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -610 - -1039. Is 39 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 68408 to the nearest integer?\nAnswer: 262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + 10010010011000?\nAnswer: 10010010010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 11*c**2 + 5*c + 12. Let p = -302 + 296. Is w(p) a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 1)*(2160*y**4 + 8067*y - 8067*y).\nAnswer: -2160*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7456.311 hours to days.\nAnswer: 310.679625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 - 0)\/((-4)\/(-8)). Let t(i) = 4*i**3 - i**2 + 2*i - 1. Is t(o) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(-26) - 56\/(-26). Suppose -4*o + b = -14. Suppose -10 = 5*s - 2*t - 66, o*t + 52 = 4*s. Solve 5*u + s = -5*d, -5*u - 2*d = -d + 6 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*m - 2*m**4 + 161 + 1539*m**3 - 157 - 2*m**2 - 1545*m**3 to the form x*m + b + k*m**2 + d*m**3 + r*m**4 and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (3\/((-144)\/(-40)))\/(-5)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/9, -3, 70, 3 in increasing order.\nAnswer: -3, 1\/9, 3, 70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 96443103?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4641080647 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 take away -80?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - -774362?\nAnswer: 774367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + g = 20. Solve -g - 3 = -2*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -8*w**3 - 2*w**2 + 6. Let l be d(-2). Suppose g - 61 = -2*f, 2*g - l = g - f. Is g a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -147.16 - -155. Let q = -7943 - -7943.68. Let o = q - f. Round o to 1 dp.\nAnswer: -7.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the third derivative of 2*w**7\/105 + w**6\/3 + 5*w**5\/3 - 2*w**2 - 9. Solve o(t) = 0 for t.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 11) to base 10.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -917900 or -917884?\nAnswer: -917900","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2256, 2239, 2222?\nAnswer: 2205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -2*g**2 - g + 5. Let j be q(7). Let i be (j\/(-3))\/(2\/(-48)). What is i rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -15*f**2 - 164*f + 14. Calculate k(-11).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -53*b**3 + b**2 - 25*b - 26. Let t(j) = -j**3 + 9*j**2 - 13*j - 8. Let u be t(7). What is the remainder when 206 is divided by z(u)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-482)\/(-4) - 2 - 9\/(-6) is divided by 31.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5)\/10 + 11\/2. Suppose 3*m + 2*z - 7 = 10, 61 = 4*m - s*z. What is the highest common factor of m and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 46*h**2*x**2 + 169711*h**2 - 6771*x**3 wrt x.\nAnswer: 92*h**2*x - 20313*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*l + v - 7, 5*l - l - 3*v = -13 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*y - 3 + 0*y**4 + y - y**4 to the form a*y**4 + h*y**3 + z + x*y**2 + n*y and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(1\/3)\/n*n**1)\/(n**3*n**2))**30 assuming n is positive.\nAnswer: n**(-140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-50)\/45*-3*3\/45?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75*j**2 + 70*j**2 - 140*j**2.\nAnswer: 5*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(4*((sqrt(1368) - -1*sqrt(1368)) + sqrt(1368)) + sqrt(1368)))\/(sqrt(2) - sqrt(200)\/sqrt(4) - 2*1*sqrt(2)).\nAnswer: -26*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -5121 (base 7) to base 13\nAnswer: -a6b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 236*g - 215*g - 42. Suppose 0 = -3*u + 3*y - 3, -5*u + 46*y - 47*y = -25. Suppose 5*k - 36 = 34. Solve -g = u*l + k for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5911\/2 in -5, 3, 4\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 2*r**4\/5 - 326*r**3\/5 - 3506*r**2\/5 + 7982*r\/5 - 4152\/5 = 0.\nAnswer: -12, 1, 173","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.00872 + 29698.\nAnswer: 29698.00872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27 - 7. Let v = t - 12. Calculate the least common multiple of 4 and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3\/3 + 65302163*m**2\/3 + 130604323*m\/3 + 21767387.\nAnswer: (m + 1)**2*(m + 65302161)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 481920894 a multiple of 129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1602923989.\nAnswer: 29, 55273241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, 5 in ascending order.\nAnswer: -2, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -2, -1, -1.1, 3.7, 873\/23?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**2 + 602 - o + o**2 + 2*o - o**2. Let u be p(0). Find the common denominator of 43\/5 and u\/21*2\/4.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -40924.3 and 0.\nAnswer: -40924.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -610, -1217, -1824, -2431, -3038, -3645?\nAnswer: -4252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 2*j = 8, -h + 7 = 4*j + 23. Suppose -1049004 = -g - 4*g + 4*d, h = -4*g + 3*d + 839203. What is g rounded to the nearest ten thousand?\nAnswer: 210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1689415 divided by -48269\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3e7 - -210?\nAnswer: -1d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add 2325594 and -1047764.93.\nAnswer: 1277829.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3220*y - 2089 wrt y.\nAnswer: -3220","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1318996 and 476.\nAnswer: 1318996","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4)\/(-7))\/(18\/63). Suppose 9 + 7 = 4*c. Suppose j*d = -2*x + 8, -4*x + 0 - c = -d. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -7687, -7694, -7701, -7708, -7715, -7722?\n\"Answer: -7*a - 7680","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 184 and 782?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aub when three letters picked without replacement from bauokkauaabk.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -37991*k**3 - 37982*k**3 + 75975*k**3 + k**4 - 2*k**2 + k + 4 in the form z*k + j*k**2 + n*k**4 + d + h*k**3 and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 2*p**4 + 2*p**3 - 2*p**2 - 2*p + 9. Let z(i) = -i**4 - 3*i**3 + 3*i**2 + 3*i - 9. Let d(r) = 3*x(r) + 2*z(r). Differentiate d(f) with respect to f.\nAnswer: 16*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78415?\nAnswer: 5, 15683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 11:51 PM?\nAnswer: 4:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -508 = -277*f + 2230 + 2802 for f.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -246 + -29?\nAnswer: -274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 873972 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -286 and -17.698?\nAnswer: 5061.628","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1367*p**2 + 1367*p**2 - 12401*p + 1659*p - 7536*p**3 wrt p?\nAnswer: -45216*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 50 + 359*p**3 + 71 - 54 + 271 with respect to p.\nAnswer: 1077*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21976757483 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -4400\nAnswer: 1\/1100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 28525740 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 241141 is divided by 3349?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 6*z - 7. Let b(l) = -5*l + 7. Let t(x) = 7*b(x) + 6*g(x). Let y be t(-3). Solve 5*w - 17 = y*h - 5, -3*w + 18 = 3*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**8\/(m**(-1)\/m))**(38\/3)*((m*m**(-2\/5))\/m)\/m**(-7)*m**(-7)\/m**(-4) assuming m is positive.\nAnswer: m**(1954\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + 1 + 3. Suppose -3*o = -3*v + 21, 0*v - 8 = v + b*o. Solve -v*z = z - 9 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -b**2*w**3 - b**2*w**2 + 813199*b**2*w - 2*b*w**3 - b*w**2 + 2*b*w - 9342906*w**3 wrt w?\nAnswer: -6*b**2 - 12*b - 56057436","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 + 17*o - 22. Let w(b) = b**2 + 18*b - 23. Let s(t) = -3*l(t) + 2*w(t). Let c be s(-16). Solve 3*f + 24 = -c*r, 5*f + 2*r - 4*r = -14 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -2*m**2 + 11*m + 8. Let o be a(6). Let u be 3 - ((-10)\/o + 1749\/231). Factor 0 - u*f**2 - 2\/7*f - 1\/7*f**3.\nAnswer: -f*(f + 1)*(f + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-94*(-8)\/48)\/(((-380)\/19)\/(-60)).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 2 = 0, -15 = -w - 3*n - 5. Suppose -8 = -w*t + 2*t. What is the second smallest value in t, -0.2, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -91*h - 6287. Calculate z(-69).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 31 + 7. Let b be 8\/(-12) + 4\/w. Solve d = -b*d - 5 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2814477, 5628933, 8443387, 11257839, 14072289, 16886737?\nAnswer: 19701183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8 + (1 - 3 - 1). Suppose 0 = m*h - h + 8. Let s(i) = -2*i**2 + 3*i + 3. Determine s(h).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 37*u**3 + 4093*u**2 + 91106?\nAnswer: 111*u**2 + 8186*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -23*i**3 + 1491*i**2 + 160*i + 6541. What is z(65)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 3 + 2 + 4*a - 2. Let h(v) = 3 - v**2 + 2*v**2 + 3 + 9*v. Let j(m) = -4*h(m) + 9*z(m). Find the first derivative of j(c) wrt c.\nAnswer: -8*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 98 - 92. Is 2 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 127446 and 198.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -21\/8 and 57\/268.\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.5, -0.5, 1\/3, -2257, 5, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3471817 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 12:31 AM?\nAnswer: 9:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 + -12. Let v = 0.25 - -3.15. Let o = v + -0.4. Sort 0, c, o in decreasing order.\nAnswer: o, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -12.99463 and 3.8.\nAnswer: -9.19463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/6 - (-692)\/24. Let r be (v\/3 - 1) + 1\/3. Suppose 2*i - 4*i = -q + r, 32 = 3*q - i. Solve -q = -2*c - 3*k, -2*c + k - 9 = -0*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22813 (base 9) to base 12\nAnswer: 89a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25 + -17. Suppose 4*a + 0*a = -v. Let t = 2 + a. Solve 0 = -5*s - 2*f + 13, s + 2*s + 2*f - 11 = t for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 62496?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -4*k**2. Let w(y) = -927*y**2. Determine w(n(o)).\nAnswer: -14832*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert c1d9 (base 16) to base 12.\nAnswer: 24875","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3858 = 80*i - 4018. Suppose 5*k + 5*q - 14 - 6 = 0, k + 2*q = 3. Solve -k*p + 19 = i*b, 0 = 2*p + b - 0*b - 7 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(16) + (3*sqrt(64) - sqrt(64) - sqrt(64)) + sqrt(32)\/(sqrt(4)\/sqrt(2)))\/(sqrt(96)\/((2*sqrt(72))\/sqrt(6))*-1).\nAnswer: -8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 11*v - 97. Calculate the least common multiple of 9 and v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 4*q - 92 = 0. Suppose 4*w - q = -20. Calculate the remainder when w is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -90 * -108.\nAnswer: 9720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 5) to base 13\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 4 (b) 0 (c) -2\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(12\/(-27))*(-4)\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 228\/1824 - 26\/16?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2*x**2 + 39*x + 22. Let g be c(-19). Are 4 and g nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 divided by -13?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 + -1. Let x = -34 - -36. Solve 3*g + 7*i = x*i - 8, -g + 3 = -n*i for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-61602*g - 61602*g - 32979*g**2 - 4750*g**2 + 123204*g)*(-3*g**3 - 3*g**3 + 4*g**3).\nAnswer: 75458*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 33.3, -0.0663, 4, 0.3, 3\/5, 2, -1\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/8 (b) 3 (c) 4\/9 (d) -1\/3 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53907.\nAnswer: 3, 7, 17, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 - 5*l**2 - 5*l + 1. Let q(o) = -4*o**2 + o + 1. Suppose -3*h + 3*z = -z + 3, 0 = -4*h - 3*z - 4. Let m be q(h). Calculate k(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3107053774 minus -1729?\nAnswer: 3107055503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 148874 and 268.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(192) + 5 + 1*(sqrt(192)*1)**2 - ((sqrt(192) + ((0 + sqrt(192) - sqrt(192) - sqrt(192)) + 2 - sqrt(192)))**2 + sqrt(192))*6)*2.\nAnswer: -1958 + 304*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -5*j**3 - j**2 + j. Let o(x) = x + 2. Let r be o(-3). Let z be -3*(r\/(-3))\/(-1). Calculate n(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 651 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10396428?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*l + 0*l**2 + 26*l - 2*l**2 - l**2.\nAnswer: -3*l**2 - 7*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-32)\/4)\/(1*120\/(-18))\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6\/3)\/((-147)\/(-882)). What is the third biggest value in 24, 3\/4, f?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45876581 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 16\/47987199 or 0?\nAnswer: 16\/47987199","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -385 = -37*t + 344 - 137. Solve t*z - 2*v = 18*z - 8, 20 = -3*z + 5*v for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -348, -1339, -2990, -5301, -8272, -11903?\nAnswer: -16194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 6, z: 2, j: 1, f: 2, u: 1, n: 3}. Give prob of picking 1 j, 1 u, and 1 n.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 915650 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1)\/(4 + 1) - (-301516)\/430?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 4*v = 7, -q + 4*v + 9 = 7*v. Let n(m) = 29*m**3 + m**2 - m - 1. Let h be n(-1). Let p be (21\/h)\/(66\/16). Put p, 5, 0.5, q in decreasing order.\nAnswer: 5, q, 0.5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 + -7 + 8)*(-2)\/(-2). What is the third biggest value in -1\/9, 0.11, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 700, 114, -1480, -4586, -9708, -17350, -28016?\nAnswer: -42210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -16? (a) -160 (b) 0.6 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 678238?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/8)\/(15\/210*(-1190)\/408).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-2)\/c**(-1\/4)*c**(3\/5)*c**(-6) assuming c is positive.\nAnswer: c**(-143\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (24\/(-4))\/(190\/(-184) - -1). What is the greatest common factor of j and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-7)*(-20279)\/249142.\nAnswer: -1\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s - 4 = -3*j - 4*s, -4*s = 16. Let z be 1*(40\/(-2))\/(j\/22). Round z to the nearest 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u + 1 + u + u)*(6*u**4 - 2*u**4 - 3*u**4) - 4*u**4 + u**5 + 4*u**4.\nAnswer: 3*u**5 + u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z + 2*h - 15, -4*z - 3*h + 13 + 6 = 0. Let s(l) = l - 9. Determine s(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (6\/27 + 32612\/1395)*18175\/10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.202254 rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 908 = 860?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 6 + 111*j + 0 - 5. Let x be b(1). Solve -111*c**2 - x*c - 9*c**2 - 10*c**3 - 26*c**3 - 32 = 0.\nAnswer: -2, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1605 + -1415. Let f(q) = 7*q**3 - q**2 - 2*q. What is the remainder when u is divided by f(2)?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -714*f**2 - 153*f + 2. Let t(v) = 286*v. Determine t(y(q)).\nAnswer: -204204*q**2 - 43758*q + 572","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-7)\/((-399)\/(-108)) - -2. What is the third biggest value in 5, g, 2\/5, -0.1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28863?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 5*b = 2*q - 6*q - 0*q - 0*q - 39, 0 = 39*b - 117 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -39002 or -39001?\nAnswer: -39001","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -26*o + 48*o - 20 - 26*o. Let l be g(-13). Calculate the greatest common divisor of l and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by -17\nAnswer: 7\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-3 + (-2*sqrt(320))**2 + sqrt(320))*-5*-6.\nAnswer: 480*sqrt(5) + 76620","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 0 = 9. Suppose -4*w + g = -9. Let t(u) = -u**2 + 2*u + 13. Let z be t(4). Solve w*l + 17 = -a, -2*a = 2*l - z*a + 4 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14187 - 8?\nAnswer: -14195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 4*m + 192. Let c = m + 60. Is 29 smaller than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/(-3)*((-3504)\/32)\/73*25\/10?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19.13, 2\/7, -1\/3, -6\/11.\nAnswer: -19.13, -6\/11, -1\/3, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 93692561 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3059 and 1463.\nAnswer: 33649","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 2*d = -8, -5*o - 4 = -d - 14. Let g be o\/(-3*2\/(-24)). What is the second derivative of 2*w - w**g + 0*w**4 - 3*w**4 wrt w?\nAnswer: -48*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -75*5\/135 - (-9)\/3.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w. Let d be s(-2). Suppose 0 = -2*k + 3*k - d. Suppose -k*f = 3*f - 25. List the prime factors of f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22 and 56.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -3033 bigger than -3016?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 30252317 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 29 + -48. Let h = z + 19.1. Let q = -0.4 - -0.2. Which is greater: q or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -681, -2469, -5213, -8721, -12801, -17261, -21909?\nAnswer: -26553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*z**4 + z**4 + 3*z**4 + 2*z**4 + 0*z**4 - z**4 + (z + 0*z + 0*z)*(2*z**3 + 1 - 1) + 5*z**3 + 108*z**4 - 5*z**3 + (-3 + 1 + 0)*(3*z**4 - z**4 - 4*z**4).\nAnswer: 116*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.3 + -0.18. Let s = -4.88 - f. Put s, -2, 5 in ascending order.\nAnswer: s, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -140271, -140289, -140307, -140325, -140343, -140361?\n\"Answer: -18*a - 140253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -842, -826, -798, -758, -706, -642, -566?\nAnswer: -478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 15 = -9*s. What is the first derivative of 5 - 2 + 24*d**3 - 26*d**s wrt d?\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - -1. Let w(a) = -a**3 + 3*a**2 + 5*a - 2. Let o be w(4). Let -2*v**3 + v**3 + 2*v**3 + v**3 + o*v**h = 0. What is v?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3952 by 2.\nAnswer: -1976","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 2*r**3 - 3*r**4 - 1 - 2 + 2 + r**4 + (0*r**3 + 2*r**3 - 3*r**3)*(r + 4 - 4) - r**4 - 2*r**3 + 2*r**3 - 8*r**4 + 14*r**4 - 13*r**4.\nAnswer: -11*r**4 - 2*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 99\/(2\/((-880)\/(-33)))?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-132*x + 132*x + 3*x**4 + 9*x**2)*(1 - 4 + 4)*(0 + 5 - 3)*(1 - 3 - 2) to the form y*x**3 + v*x**2 + u + t*x**4 + s*x and give t.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91 = -5*b + 86 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -106, 4, -5, -4, 7338, -2, 3 in decreasing order.\nAnswer: 7338, 4, 3, -2, -4, -5, -106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2379\/(-5) + (-1)\/5. Let j be h*((-9)\/(-2) + -1). Let r = -3266 - j. Round r to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 2004.\nAnswer: 4008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + 7. Suppose y = 3*b - 0. What is the tens digit of (0 - -22)*2 + b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101 + -10111?\nAnswer: -100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express f**3 + f**3 - 4*f**3 - f**3 + 12*f**3 - f**3 + (2*f - 5*f + 4*f)*(5*f**2 - 3*f**2 + 0*f**2) in the form w*f**2 + a + q*f + x*f**3 and give x.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 282+10586501\nAnswer: 10586783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 - 6*s**2 + 5. Let l be f(-6). Suppose 2*r = -3 - 3, -l*a + 3*r = -104. List the prime factors of a.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 117*m - 123*m + 6 = 0. Let p be (1 + 0)\/(21\/(-6)). Which is the closest to m? (a) -5 (b) 0.4 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + w - 6266 + 6258 = 0, -2*f + w = -1 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2740830, -5481679, -8222556, -10963467, -13704418, -16445415, -19186464, -21927571?\nAnswer: -24668742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 1 + 0 + -33 + 34?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 120411*m - 40035*m - 40049*m - 40320*m.\nAnswer: 7*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000078501 to 7 dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 3 + 0 + (0 - 2 + 3)*(7 - 1 - 4))*(2*g**2 - g**2 + 0*g**2) as y*g**2 + i*g + x and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -73156.181 - 0.4?\nAnswer: -73156.581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together -37516882 and 1812.\nAnswer: -37515070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(204)*-1 - sqrt(204))*3 + sqrt(204))\/(sqrt(24)\/(sqrt(8)\/sqrt(4)) + sqrt(12) + sqrt(12)) + 0.\nAnswer: -5*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 49 = -5*d - 0*a, -5*d = 2*a - 61. What is the least common multiple of d and 8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 AM and 11:57 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - -14. Let j(g) = 2*g**2 - 10*g + 8. Let y be j(6). Suppose p - y = -p. Calculate the highest common factor of p and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times 47\nAnswer: 18.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 8050936251?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -64 (base 13) in base 11?\nAnswer: -75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -n - 16, 1 = -n + c + 5. Find g, given that -2\/3*g + n*g**2 + 2\/3*g**3 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -14 (b) 4\/11 (c) 0 (d) 5 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 321513 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 AM and 5:52 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 74358\/(-11664)*16\/(-18)\nAnswer: 17\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7.6 - 8. Let k = 0.016 - -0.284. What is the closest to 0.2 in n, 2, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -6 - (1 + 1) - 1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 125832?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3061 (base 8) in base 7?\nAnswer: -4423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31879 is divided by 1027?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -6*q. Let n(o) = -o. Let g(p) = -4*f(p) + 22*n(p). Let w(l) = 3*l - 2*l - 5*l. Let s(b) = -13*b. Let j(t) = 4*s(t) - 14*w(t). What is g(j(d))?\nAnswer: 8*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 3 + 1 = l, 5*q = 3*l + 4. Suppose 288 = -0*a + a - 4*b, q*a + 3*b - 576 = 0. Is a a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 PM and 11:21 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 54 and 14254308.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (170\/40 - 11)\/(2895\/420 + -7).\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 91131*p + 6834824. Determine y(-75).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (16\/(-48))\/(4\/((-20)\/(-1)))\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooz when three letters picked without replacement from {o: 4, z: 9, r: 4, b: 3}?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1879716, 7518872, 16917466, 30075498?\nAnswer: 46992968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*g**2 + 0*g**2 + 0*g**2)*(2 - 2 - 2*g)*(-3*g**2 + 9*g**2 + g**2).\nAnswer: 70*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 0.031.\nAnswer: -0.0031","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 4742996 + 1892.365\nAnswer: 4744888.365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -49*a**4*p**3 + a**4*p**2 + 25*a**2*p - 2*p**3 - 2*p**2 wrt a?\nAnswer: -1176*a*p**3 + 24*a*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of -h**3\/3 + h**2\/2 + h - 80. Let y be (-1)\/(((-3)\/9)\/1). What is t(y)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 6) to base 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15057 + 7*l + 15077 - 26*l - 21*l.\nAnswer: -40*l + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 4*q + q - 16, 0 = -4*q - 4*n + 20. Suppose -3*c + c - 4 = -2*b, -q*c = 0. List the prime factors of 23\/(b + (82\/(-14) - -4)).\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1, -128, -10 in decreasing order.\nAnswer: 1, 0, -10, -128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/5 + (-12)\/(-20). Suppose d*j = 2*j. Suppose -3*f - g - 3*g + 36 = j, -g + 12 = f. What is the lowest common multiple of f and 22?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (111*l + 208*l - 75*l)*(-4*l + 3*l + 3*l)*(1 - 2 - 1) + l + 2*l**2 - l + (l - 2*l - l)*(-l + 0 + 0) + l**2 - 4*l**2 + 5*l**2.\nAnswer: -970*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-17)*n\/(n*(n*n**(-7)*n*n)\/n*n)*n**(-8)\/(n*(n*n\/(n*n**18)*n)\/n) assuming n is positive.\nAnswer: n**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*o - 47 = -5*o + 2*w, -o + 27 = -2*w for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bmmb when four letters picked without replacement from mbbmmm.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-9)*3*5\/15.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 931 a factor of 963544?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 28768 in -2, 0, 3\/8, 2\/59?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2726 - -2728. Let i = 8.8 - 8. Which is the nearest to 2\/7? (a) 3\/4 (b) i (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10963659 to the nearest integer?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*l - 594 = -1634. Solve -l*v - 33 = 17*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 43452 and 28662?\nAnswer: 12210012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -251*v**3 + 8*v**2 - 2375*v.\nAnswer: -1506*v + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0\/2)\/((-2)\/1). Put h, -1, 2, -7 in decreasing order.\nAnswer: 2, h, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102012122000201 (base 3) to base 6.\nAnswer: 331401114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 56.01175 decades?\nAnswer: 5.601175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 285 to the power of 1\/2, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -17.28411 - 12682864\nAnswer: -12682881.28411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 + 4)\/(-2 + 12\/5). Let b(r) = r**2 + 8*r - 8. Let d be b(-9). Sort 2, o, -1, d.\nAnswer: -1, d, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + 3. Suppose -a*h + 3 = -3. Suppose 4*g - h - 1 = 0. Which is smaller: -1 or g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -4 + 14*33 + (-2)\/(-2). Calculate the greatest common divisor of 51 and c.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 9 (b) -4 (c) 1\/6 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -994316973 divided by 3\nAnswer: -331438991","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 5*u - 20 = 0, -2*u - 18 = -4*t - 4. Let f(d) = 2*d + 89*d**2 - d**3 - 84*d**2 + d + t. Determine f(5).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/6)\/((-2)\/3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 + -10. Which is the nearest to -1? (a) -4 (b) p (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -118*a - 1. Let c(g) = -g**3 - 5*g**2 + g + 3. Let w be c(-5). Is t(w) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6368206 is divided by 219593?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 26628648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 8 = -16. Suppose 18 - 50 = -w*r. Calculate the lowest common multiple of r and 4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 165 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 160\/27 - 151\/27. What is the closest to -0.1 in p, -3, -2\/7, 2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 PM and 7:59 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65 is divided by 47.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -15590\/13567 less than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3364 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -302 + -120013?\nAnswer: -120321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + 5*sqrt(2) + -5 - (sqrt(128) + -4 + sqrt(128)))**2 + (6*sqrt(54)\/sqrt(3)*5)**2.\nAnswer: 20*sqrt(2) + 16401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sa when two letters picked without replacement from {a: 6, g: 1, s: 4, i: 2, j: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(78) + sqrt(78)*3)*-1 + sqrt(78))\/sqrt(6) + 1)**2 + 0.\nAnswer: -6*sqrt(13) + 118","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1161 by 303313.\nAnswer: 1161\/303313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 22917411 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: b\"What is the dth term of -39, -80, -121, -162, -203?\n\"Answer: -41*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**4 + 444*y**3 - 7704*y**2 - 77056*y.\nAnswer: -4*y*(y - 86)*(y - 32)*(y + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -287 + 280. Is 2\/i + (65880\/(-35))\/(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -4\/7, 1, -299658, -36?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2630?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**14*a)\/((a*a*a**(-1\/5)*a)\/a))**(-2\/3) assuming a is positive.\nAnswer: a**(-142\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -2*i + 3*l - 686, 0 = 5*i + 3*l - 3382. Let z = i - 575. Calculate the highest common factor of 330 and z.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*q = -40*q - 66. Suppose 5*r + 3*n = 0, -5*n - 31 = -0*r - 2*r. What is the remainder when q*(-3 - 1)\/(-4) is divided by r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2214)\/36*(-160)\/(-6) - -1. Find the common denominator of 107\/90 and 14\/((-10164)\/b) + (-2)\/2.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -17*b**3 - b**2 - 922*b - 1 + 0*b**2 + 921*b. Calculate y(-1).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18017.999969385 - 18018. Round h to seven dps.\nAnswer: -0.0000306","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10712 and 2?\nAnswer: 10712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w - 45 = -14*w. Let h be (30\/w)\/(-5) + 12\/(-9). Put h, -5, 4 in increasing order.\nAnswer: -5, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 - 9*o**2 - 9*o - 10. Let k be l(10). Solve u + k*u = 5 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1160062061 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2 - 6*q - 4. Let b be i(-4). Let s(h) = 8*h - 32. Let w be s(b). What is the nearest to 4 in -4, w, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2465 + 13164?\nAnswer: 10366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12*(-6)\/4*(-20)\/(-90).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1188\/15 + 28\/35. Let s = q - 66. Let b be s\/8 + (0 - 1\/(-4)). Solve -b*y = y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, f: 3, k: 9, q: 6}. Give prob of sequence fs.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 49, 62, 61, 40, -7, -86?\nAnswer: -203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/4257806 and 83\/1303410.\nAnswer: 63867090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -120*q + 4879. Is c(-36) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 73 + -46. Which is bigger: p or 25?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-1)\/(i*i**(-3))*i\/(i*i**10*i)*i*i\/(i\/i**(2\/11)*i) assuming i is positive.\nAnswer: i**(-108\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-51)\/51)\/((-1)\/1)*-3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 221222121 (base 3) in base 15?\nAnswer: 592d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 20*g**4 + 4995*g**3 - 1270*g**2 - 4995*g + 1250 = 0.\nAnswer: -250, -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 times -282.22?\nAnswer: 7337.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 - 4*x**2 - 4*x. Let w be ((2 + -2)\/(-3))\/1. Let k be w - -1*(-2 - 1). Give o(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19 + -16. Let n(f) be the first derivative of -6 + 5\/6*f**u - 1\/4*f**4 - f - 1\/4*f**2. Solve n(d) = 0 for d.\nAnswer: -1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28\/42*27\/66.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 37947, 75506, 113065?\n\"Answer: 37559*k + 388","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83252226.\nAnswer: 2, 3, 23, 353, 1709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(150)\/(sqrt(10) + 2*sqrt(360) - sqrt(10))*3)\/(sqrt(15)\/(sqrt(3) - (sqrt(3) + sqrt(3)*4 + sqrt(3))) - (sqrt(5) + -1*sqrt(125))).\nAnswer: 5*sqrt(3)\/76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13086911 a multiple of 233?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 2*l + 2. Let n(w) = 9*w - 7. Give n(m) + t(m).\nAnswer: 11*m - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/(-14))\/(1908\/30051). What is the closest to 0 in -129, x, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:29 PM and 9:23 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 73*(-3)\/(-4 + 13). Let n = 24 + u. Suppose -5*p - 9 = -2*o + 6, 0 = 4*p + 4*o + 12. Sort 3, p, n in descending order.\nAnswer: 3, n, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -2*l + b + 108, -4*l + b + 216 = 0. Suppose 0 = -15*j + 18*j + l. Let a be (36\/(-81))\/(4\/j). What is the closest to 1\/3 in -3, a, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 690*k - 715*k - 1.\nAnswer: -25*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1b + -3bada1?\nAnswer: -3bad86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*a + 8 = -38*a - 35*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 65370257*z**5 - 61925*z - 140 wrt z.\nAnswer: 1307405140*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.97 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + a + 120 = 0. Let h(w) = w + 19. Let u be h(-9). What is the greatest common factor of a and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1696?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 e when two letters picked without replacement from {w: 2, e: 4, v: 6}?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the second derivative of l**4\/12 - 11*l**3\/6 - 3*l**2\/2 + 20*l. What is the remainder when 42 is divided by t(12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 758*f**3 - 351*f**2 + 937*f**3 + 3*f**4 - 368*f**2 - 2460*f**2 + 1479*f**3 wrt f?\nAnswer: 72*f + 19044","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 281185 is divided by 6685?\nAnswer: 415","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rc when two letters picked without replacement from {k: 1, l: 1, f: 3, g: 1, r: 3, c: 2}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 844950 - 1465420. 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: What is 38.69306mg in nanograms?\nAnswer: 38693060","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*l = -14*l - 3 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 771*y + 55. Let r(z) = 1546*z + 104. Calculate -15*b(n) + 8*r(n).\nAnswer: 803*n + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 298455?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -83 - -7?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p + 0*p + 40 + 2*p.\nAnswer: -p + 40","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*(-3 - -2)*22. Let i = 31 + y. Suppose 4*j + i = 7*j. Solve 6 = j*t - 3 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -61610 - -15481. Let y = -1660519\/36 - m. Find the common denominator of 41\/20 and y.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 131 + 134 = 5*o. Let z = o - 31. What are the prime factors of z?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 3 + 5 = l, -2*l + 5*w + 16 = 0. Find the common denominator of (l - 9)\/((-11)\/3) and -31\/11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 995696295?\nAnswer: 3, 5, 11, 29, 18917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 24, -5, -0.3, 0.5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*z + z + 42. Let i be (-40)\/(-336) - 2\/z. Which is smaller: -1 or i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -1. Let k(u) be the first derivative of u**4 + 5*u + 7080. Let b = 10 - 4. Determine b*c(r) + k(r).\nAnswer: 4*r**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -42430\/7 (b) 62 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*j**2 + 47*j**2 - 245*j**2 + 52*j**2 + 56*j**2 + 44*j**2.\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**2 - 8*d + 11. Let t(f) = -4*f - 961*f**2 - f + 7 + 962*f**2. Determine 5*o(s) - 8*t(s).\nAnswer: -3*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from maymwnmyymmwnm. Give prob of picking 2 y and 1 m.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/9, -1, 0.9, 6564, 2\/7, -1\/3.\nAnswer: -1, -1\/3, -1\/9, 2\/7, 0.9, 6564","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11969 is divided by 82?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -112 + (145 - 153 - -111).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2580 plus -1?\nAnswer: 2579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*r + 12, -2*o - 14 = 4*r + 2 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1973 - 1946. What is the greatest common divisor of 3006 and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 196\/40 - 2\/(-20).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -40418*p**2 - 2*p + 45784 wrt p?\nAnswer: -80836","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 191487?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130577 = -16*b + 71675 + 18756. List the prime factors of b.\nAnswer: 19, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*z**2 + 2*z - 2*z + (-2*z + 4 - 4)*(3*z + z - 5*z) + z**2 - 4*z + 4*z + (-4*z - z + 3*z)*(-3*z + 2*z + 3*z) to t + j*z + f*z**2 and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-12)\/10*(-15)\/(-6). Let u = f - -9. Let l(n) = -4*n**3 + 3*n. Let b(o) = -23*o**3 + 17*o. What is u*b(i) - 34*l(i)?\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lxxx when four letters picked without replacement from xxfexexexflexxelee?\nAnswer: 7\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11010101 (base 2) to base 4.\nAnswer: 3111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 + 8. Suppose 0*v - v = n. Let h be (0 - v) + (15 - 11). Solve s = 3*t - 11, 23 = -h*s + t - 2*t for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -109 divided by -98121?\nAnswer: 109\/98121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 7*y - 2*y - 20, -4*l - 3*y - 2 = 0. Let f be l\/(-1 - 15\/(-3)). Which is the smallest value? (a) -2 (b) 5 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a (base 11) to base 13.\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/2 + 3\/6. Suppose 0 = 3*y + n*y - 180. Does 12 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:43 PM and 3:05 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dwjjjjjjjjj. What is prob of sequence jw?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, -78.\nAnswer: -78, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -138254 (b) 2\/4315 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 136234 and 1176662.\nAnswer: 526","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -135 + 206. Let w be ((-7)\/2)\/((-549)\/9882). Solve -g + w = 4*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 110000000011101 (base 2) to base 15\nAnswer: 7455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (100*u + 7*u**2 - 100*u)*(2 + 1 - 1) + 2*u**2 - 4*u**2 + 3*u**2 to x + q*u**2 + k*u and give q.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 5129, 706, 31 in descending order.\nAnswer: 5129, 706, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a millimeter in micrometers?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 801 + 76 = 0. Suppose 22*t = 53 + i. Calculate the least common multiple of t and 123.\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times -0.37236?\nAnswer: -0.074472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*q + 3*q**3 + 2 - 1 + 3*q in the form j*q + i + a*q**2 + o*q**3 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 3 e when four letters picked without replacement from {e: 7, a: 3, b: 2, u: 5}.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l, -2 - 16 = 2*q - 3*l. Let u be 3\/q*(1 - 7). Solve x = u*x + 3 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 + 9*m - 9. Let q be j(2). Suppose 43 = q*o + 4*n, 3*n - n - 25 = -3*o. Solve w + 5*a = -3*w - o, 0 = 2*w - a + 7 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes before 3:59 PM?\nAnswer: 4:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*5*(-3)\/45?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -212.4320910053 and -0.5.\nAnswer: -212.9320910053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -670\/7 + 96. Let x = 0.0285 - 435.0285. Let q = -435 - x. What is the second smallest value in j, -11, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 123 + -77. Let w = 97 - b. Does 17 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxxx when four letters picked without replacement from cxxcccxxxccxcx?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 + 9*r + 8. Suppose -4*g - 2 = 38. What is the tens digit of n(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 + 33*w**2 - 7*w + 214. Calculate c(33).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.5 + 0.1. Suppose 2*g - 22 = 4*t, -g - 11 = 5*t + 6. Let x be ((-3)\/(-21))\/(g\/(-2)). Put w, x, -2 in increasing order.\nAnswer: -2, w, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -718, -709, -700?\n\"Answer: 9*d - 727","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**2 + 12*f - 5. Let a be ((-27)\/15)\/((-1)\/5). Let u be o(a). Suppose -4*v + 26 + u = 4*b, 2*b + 5*v - 21 = 0. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2\/9, -1, -3\/8, 0, -457 in ascending order.\nAnswer: -457, -5, -1, -3\/8, 0, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5794783*o**4 - 4*o**3 + 2*o**2 - 1025971*o - 41 wrt o?\nAnswer: 69537396*o**2 - 24*o + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*d = 88*d - 875*d + 34357 for d.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -t + 9. Let s(v) = 11*v**3 - 31*v**2 - 2*v + 5. Let k(g) = 5*g**3 - 15*g**2 - g + 3. Let a(m) = 9*k(m) - 4*s(m). Let b be a(11). Sort t, 4, b.\nAnswer: b, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the second derivative of -141*v**7\/14 - v**6\/30 - 19*v**3\/3 + 5*v**2\/2 + 13*v - 2. What is the second derivative of a(j) wrt j?\nAnswer: -8460*j**3 - 12*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 - 4*k + 3. Let i(j) = -2*j**2 + 6*j - 4. Determine 5*i(g) + 8*x(g).\nAnswer: -2*g**2 - 2*g + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -258 - -196. Let y = 58 + z. What is the nearest to 2 in 4, 0.08, y?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9217 - -9457. Is i != 240?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17987044793 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 23*a**3 + 29*a**2 - 1 - 3 - 22*a**3 + 83*a**2 wrt a?\nAnswer: 3*a**2 + 224*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 69 and 2024691.\nAnswer: 46567893","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 3*v**2 + 4*v - 40. Calculate y(-5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 2*g. Suppose -5*i + 3*i - 56 = g. Let s be -3 - 0 - 76\/i. Which is smaller: s or 0?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(48\/(-36)))\/((-75)\/330*3\/20).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*c = 17*c + 72. Suppose 0 = 5*u + 5*v - 155 - 55, -4*v = -2*u + c. Let t = -28 + u. Calculate the remainder when 22 is divided by t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 g when four letters picked without replacement from igddgiiiidgid.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n = -3*s + 11*n + 36, 0 = 4*s - n - 35. Solve 5*l = 5*i + 40, 7*l - 12 = s*l + 3*i for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 404\/3 + -136. Let h = 22.7 - 20. Let r = h + -3. Which is bigger: n or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((6*(sqrt(539)*-1 + sqrt(539) + 5 + 0))**2 + -2) + -3.\nAnswer: -3595","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = -63\/331?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/((-3)\/(-54)*3). Let v(p) = -s - 2*p**2 + p**3 + 10*p - 6*p**2 - p**2. What are the prime factors of v(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 132 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the third derivative of d**5\/60 + d**4\/6 + 4*d**3\/3 + 13*d**2. What is the remainder when 12 is divided by h(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 PM and 2:01 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1273, -6\/5, -4?\nAnswer: -1273","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-80)\/(-25))\/(4\/(-30)). Is a at most -24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2245.04 times -0.45\nAnswer: 1010.268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.3 (b) 0.27 (c) 2\/19 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand i**5 - 2*i**5 + 2*i**5 + 7*i**5 - 15*i**3 + 15*i**3 + (2*i - 4*i + i)*(i**3 + i**4 - i**3) + 2*i**5 - 4*i**5 + i**5.\nAnswer: 6*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1084\/1626 + 61*((-138)\/45 - -3).\nAnswer: -17\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = 6*u - 3*h - 0, 0 = u - 6*h + 64 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -7*f + 8. Let s be b(-2). Calculate the highest common divisor of 682 and s.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 528 + -152. Let r = 376 - x. Solve r = g - 0 + 3 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 18*l - 51. Give s(19).\nAnswer: 291","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4502\/15 + -300. Sort w, -1, -0.1, 1 in decreasing order.\nAnswer: 1, w, -0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 49.3 - 49. Let y(z) = -2*z**2 + z - 1. Let a be y(-2). Let c = -65\/6 - a. What is the second smallest value in c, u, -0.03?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -3*l + 14*l + 11*l**2 - l**3 + 4 - l**2. Let q be p(11). Suppose 0 = -3*m + q*m - 17. What is the remainder when 49 is divided by m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 - 2*r**2 - 2*r - 1. Let y be ((-3)\/(-2))\/(6\/(-8)). Let i be h(y). Solve -10 - 5 = i*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of -3*n**2 - 1. Is 9 a factor of s(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/18*(-5)\/((-5)\/2).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 j when three letters picked without replacement from fnhnjhnebbejfff.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 37, 1\/5, -2, -2\/9, -0.3 in descending order.\nAnswer: 37, 1\/5, -2\/9, -0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/((-45)\/10) + 466\/6. Calculate the highest common factor of s and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*q + 56 = 8 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/20*464\/580*(-10)\/(-14)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -480 - -10078\/21. Sort 5, -1\/5, y in descending order.\nAnswer: 5, y, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*y + 2*y - y - 5*y + 233*y**2.\nAnswer: 233*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 5 = -41. Suppose -c = -3*w + j + 1, -5*w + 19 = -j. Calculate the smallest common multiple of w and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-4)\/18*3\/(-2)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + 2 - 2)*(1 - 3*z - 1) + 0*z**2 - 2*z**2 - 2*z**2 + (-4*z + 3*z - z)*(z - z + 2*z) + 0 - 2*z**2 + 0.\nAnswer: -7*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-9)*3)\/(16 + (-696)\/36).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15 - -20. Suppose -r = 3*i - s, i = -2*r + r + 5. Solve -g + 2*z - 3 + r = 0, 5 = -2*g + z for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4942647237 to the nearest integer?\nAnswer: 1703","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes after 11:52 AM?\nAnswer: 10:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*v - 125 = -25*v. Calculate the remainder when 58 is divided by v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1868?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*b**2 + 4*b**2 + 0*b**2 - b + 2*b**2 + b + (3*b + b - 2*b)*(-3*b - b + 7*b) - 2*b**2 + 2*b - 2*b.\nAnswer: 12*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/n**(-1\/2)*n))**(-9\/2)*n*n\/(n\/(n**(-5\/3)\/n))*n*n*n**(1\/8)\/n*n)**(-2\/85) assuming n is positive.\nAnswer: n**(-173\/1020)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: -566 - -61.1\nAnswer: -504.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 447969.9 to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of -o**4\/48 + o**3\/12 + 3*o**2\/8 - 41*o + 16. Let i(y) be the first derivative of s(y). Factor i(c).\nAnswer: -(c - 3)*(c + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -385 + 396.14. Let p = 11 - f. Let v = -0.6797 + -0.3203. Which is the third smallest value? (a) 1\/6 (b) v (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 257 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -6*v - 220. List the prime factors of (-6)\/(-9) + v\/(-3).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87157 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1693 (base 15) to base 3.\nAnswer: -20200010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c - 2. Let f be n(-4). Let d = -37 + 40. What is the third derivative of 1 - 3*h**2 + d*h**4 - f*h**2 - 1 wrt h?\nAnswer: 72*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 262, 1024, 2296, 4084, 6394, 9232, 12604, 16516?\n\"Answer: o**3 + 249*o**2 + 8*o + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*a**2 + 0*a**2 + 47 + 55*a**2 + 0*a - 46 + a in the form i + y*a + m*a**2 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3177*x**2 + x - 2 + 0*x + 15618*x**2.\nAnswer: 18795*x**2 + x - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/11, -1\/21, 11\/13 in descending order.\nAnswer: 11\/13, 2\/11, -1\/21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -17, -25, -33, -41, -49?\n\"Answer: -8*j - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -223 - -31?\nAnswer: -1c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-50)\/(-8))\/((-4)\/16). Find the common denominator of v\/(-2) - (-5)\/(-5) and -17\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 526?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 142 = -j. Is j greater than 140?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 31455?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from ssssscicciscsrs?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1806.2 and -4.\nAnswer: 7224.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/10 + ((-368680)\/(-50) - 10). Calculate the remainder when (-8)\/(-76) - (d\/(-76))\/1 is divided by 38.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3, -15, -171, 7 in ascending order.\nAnswer: -171, -15, -1, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 1400 to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 153*k + 606. Determine w(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*z**2 - 11 - 5*z**2 - 28*z**3 + 5*z + 27*z**3 - 4*z**2 as c + h*z**2 + i*z**3 + p*z and give p.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -3*5*(4*-3*(sqrt(539) + -1) + 4)**2.\nAnswer: -1168079 + 40320*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2755.291 take away -148087.396?\nAnswer: 145332.105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -1103*s + 2480. Let b(v) = -1649*v + 3721. Let q(a) = 5*b(a) - 7*z(a). Differentiate q(n) wrt n.\nAnswer: -524","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15449489 + 15449489 - 10*v.\nAnswer: -10*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -34 + -107072?\nAnswer: -107126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-33)\/((-127314)\/7728) - 2\/1. What is the fourth biggest value in 2, n, 0.4, 3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 471, -0.4, 11.\nAnswer: -0.4, 11, 471","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 49242 or 5486?\nAnswer: 49242","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 - 12*k + 14. Let d be z(11). Let f be (-2 + d)\/8*6. Let q be ((-4)\/((-4)\/2))\/(144\/(-36)). Which is the closest to -1? (a) f (b) -4\/7 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 357, -11, 6, -2, 5 in descending order.\nAnswer: 357, 6, 5, 3, -2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 64203065 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 1 - (4 - 0)) + -3\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 + 2. Let g = x - 13.8. Let r = -4.8 + g. What is r rounded to zero decimal places?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00136808214 rounded to six decimal places?\nAnswer: -0.001368","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6652*h = 1457*h + 1491*h + 460800 for h.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4754272 years in millennia?\nAnswer: 0.0004754272","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 2*n - 6*n. Let z be 18\/(-15)*(-160)\/n. Suppose -8 = -2*k + 8. What is the greatest common factor of z and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 510506587?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -305*x - 2573 + 9154 = -10804 for x.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 116275 and 100.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 3*g = g + 14, 9 = -2*d + 3*g. Let z(a) = -40*a - 117. Let r be z(d). Let s = 2 - -1. Solve r*p + 3 = -3*m, 0*p + s*p = -4*m - 3 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3618087 - 672961241\/186. Let k = t + -1260\/31. Find the common denominator of k and -2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 - 1 - 25)*(0 - 2 + 1)*(t**5 - 5*t**5 + 5*t**5).\nAnswer: 11*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z**5 - 344*z**4 + 1588*z**3 + 12392*z**2 - 82176*z + 120960 = 0 for z.\nAnswer: -90, -7, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -a - 29, -6*a = -a + 20. Suppose 4*z = l*z. What is the units digit of 4\/3*(z - -3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -333320 (base 7) to base 3\nAnswer: -2222200022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + 1bec82?\nAnswer: 1bec7e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -444 + 447. Let k be 1*-5*116\/(-5). Suppose 2*q - i = -q + k, w*i - 120 = -3*q. What are the prime factors of q?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11, -32, -53?\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -7311.31505 and -0.0406.\nAnswer: -7311.35565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -8263.9651 rounded to the nearest ten?\nAnswer: -8260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, -96 in increasing order.\nAnswer: -96, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 75 - 33. Calculate the greatest common factor of z and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 AM and 8:47 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the first derivative of m**4\/4 + 25*m**3\/3 - 25*m**2\/2 - 19*m - 2023. What is j(-26)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**2 - 2*t + 1. Let n be y(0). Let l be 5\/3 - (-4)\/(-6). Let x be 1*2*l\/(-2). Are n and x non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = -5*d - 8, 16*a - 15*a = -7*d + 8 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14 + 624\/42)\/((-60)\/1890).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i + 1. Suppose -3*f + 3*j + 2 = 17, -4*f - 23 = -j. Let l(h) = h**3 - 6*h - 6. Give f*x(w) - l(w).\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -36 or -33?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -1.5 (b) -0.0191 (c) 0.09 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15 + 0. Let f = w - 14.9999955. What is f rounded to 6 decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 687 + -672. Let z(g) be the third derivative of 0*g**3 - t*g**2 + 0 - 5\/24*g**4 + 0*g**5 + 0*g - 9\/40*g**6. Find the second derivative of z(x) wrt x.\nAnswer: -162*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in twenty-seven fifths of a hour?\nAnswer: 19440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + y**2 + 2*y**2 - 4*y**2)*(8138*y - 12923*y - 8575*y).\nAnswer: 13360*y**3 + 13360*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-3 - (-6 + -1 - -23)) + 9?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -96137321*s**4 - 217035629 wrt s.\nAnswer: -384549284*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7 - -109cfa4?\nAnswer: 109cf9d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 250 and 659875?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 458.2 + -524. Let t = u + 66. Let i = -0.1 - -1.1. Which is the third biggest value? (a) -1 (b) t (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2864287 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 14749218?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**2 + 39*c + 4. Determine d(39).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -67 smaller than -91?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1278 = 4*l - 15798. Is l + (5\/(20\/(-12)) - -2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 927221996?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 78*-0.8.\nAnswer: -62.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -17 + -1 - (-20)\/10. Let g = 19 + v. Solve 0 = 2*l + g*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -18.21, -1\/4, -4, 2, -1, 0.08?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 - 4*o**2 + 11*o - 1. Let h be j(5). Let d be h\/(-63) - (-2)\/7. Solve 6*z - d*z = -12 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102*p - 100*p + 4 = -4*v, 0 = -p + 4 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from fwwfffwwfwwwffwfffw?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 177 - 243 - 15*y + 217*y. Let s(j) = 403*j - 132. Let p(m) = -3*s(m) + 7*z(m). Is p(7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**3 - b**3 - 2*b**3)*(3*b + b - 3*b) + (3*b**2 - 3*b**2 + b**2)*(3 - 3 - 2*b)*(-7*b + 3*b + 6*b).\nAnswer: -8*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 109 divide 2334163714?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*b - 26*b - 3277 = 0 for b.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k + 16. Let g be 952\/280 + (-6)\/(-10). Suppose 4*j - 43 = -5*y, -g*y - 3*j + 4*j + 47 = 0. Calculate a(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144 - 116 = -3*s + 4*a, -5*s - a = -418. Is s a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -10, -7\/5, 0?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 21 + 11 = 0. Which is the closest to -1? (a) -2 (b) u (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -177.5 + 178. What is the closest to -6 in -2\/7, -4, q?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the second derivative of -11*z**4\/12 + 11*z**3\/6 - 31*z**2\/2 + 32*z. Let p(g) be the first derivative of j(g). Differentiate p(a) with respect to a.\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41646.\nAnswer: 2, 3, 11, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2 + 8*v - 13. Give a(-12).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = -b + 3*v - 5*v, 5*v = -15. List the prime factors of b.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-6))\/((t\/(t*t**4))\/t)*t**6\/t**7 assuming t is positive.\nAnswer: 1\/t","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*c + 9*c - 1 + 3 + (c - 2*c - 4*c)*(-5 + 4 - 1) - 4*c + 3*c + 3*c as x*c + l and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1.5 + -23069\nAnswer: -23070.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence coc when three letters picked without replacement from {c: 2, h: 5, o: 2}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 238282184*w**2 + 614452674?\nAnswer: 476564368*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 894 + 391 = 5*v. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-41 - 92) + 95 + -22.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 15*k - 7. Is h(4) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2648 is divided by 2213.\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nb when two letters picked without replacement from {r: 1, s: 2, l: 3, b: 4, n: 6}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*q**2 + 2*q**2 - 2*q**2 + (-3*q + 3*q - 2*q**2)*(0 + 0 - 2) + 1115*q**2 + 3804*q**2 + 3 - 3 in the form d + a*q**2 + h*q and give a.\nAnswer: 4921","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00014205 to five decimal places.\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1010 (base 4) to base 15.\nAnswer: -48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10111100101 + 1111?\nAnswer: 10111110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 5) to base 6\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of -m**4\/4 - 2*m**3\/3 + 3*m**2\/2 + 2*m - 20595. Let q be 6*1*(-2)\/3. Calculate w(q).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-15)\/(-6) + (-2)\/4. Suppose m*u = -u + 39. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51 + 45 - (3 - -2).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 - l**2 - l - 3. Determine c(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 17, 1, -59, -181, -383, -683, -1099?\n\"Answer: -3*y**3 - 4*y**2 + 17*y + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8342005 and 2450.\nAnswer: 83420050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -332*x - 5. Let i(d) = -35*d**2. Give u(i(j)).\nAnswer: 11620*j**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -33 - -68. Let o = 1189 - 1193. What is the closest to -2 in v, 0.4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 + 9 = -4*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 6 = 0, 5*r - 248 - 569 = -4*w. Suppose 0 = -4*v - v + r. List the prime factors of v.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9647 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 632 or 8204\/13?\nAnswer: 632","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1346 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: What is 4264 to the power of 1\/2, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2 + 16487448*y + 33979492694088.\nAnswer: 2*(y + 4121862)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 2*z + 67 = 54, -28 = -2*p - 5*z. Let d(l) = -l**3 - 9*l**2 - 16*l - 17. Let y be d(p). Round y to the nearest 100.\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -86 divided by 23.\nAnswer: -86\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o = -20 - 28. What is the smallest common multiple of 16 and o?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 5 (b) 3 (c) -1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 5 + 4)*(4*c**2 - 2*c**2 - 3*c**2) + (0 + 0 - 2*c)*(8*c - 31 + 31).\nAnswer: -14*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 71.\nAnswer: 21.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8.703 - 0.197. Let m = i - -9.3. Which is the second biggest value? (a) -2\/9 (b) 2 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 divided by 2?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**2 + 7*g. Let v be x(5). Suppose -2*c - k + v = -5, c - 15 = -2*k. Let l be (c\/(-3))\/(1\/(-3)). Solve -l*q + 9 = -2*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.16+-1532923719836\nAnswer: -1532923719836.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 514 a factor of 17416890?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 394044, 394008, 393972?\nAnswer: 393936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the first derivative of n**3\/3 + 2*n**2 + 8. What is the second derivative of p(f) wrt f?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -1*(sqrt(68) + 1)**2 + 1)*1.\nAnswer: -63 - 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**3 + 320*r**2 + 655*r + 330.\nAnswer: -5*(r - 66)*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-16)\/5)\/((-846)\/(-90) - 9). Sort g, 3, 0, -15 in descending order.\nAnswer: 3, 0, g, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the third derivative of b**5\/36 + 815*b**4\/72 - 410*b**3\/9 + 15*b**2. Factor t(c).\nAnswer: 5*(c - 1)*(c + 164)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 18 = 6*o. Suppose 0 = -n + 39 + 6. Suppose y + 4 = 0, -5*y - n + 3 = -2*d. What is the least common multiple of o and d?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 1 + 2. Let y be -24 + s + -1 + 0. Let n = -10 - y. Does 6 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*k**2 + 1377*k + 1426*k + 26*k**2 - 2803*k.\nAnswer: 34*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*j - 22 - 50. What is the tens digit of (-2496)\/j + 0 - -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 4:01 PM?\nAnswer: 3:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*r + 2*r. Suppose -3*k + 35 = -4*l, 5 = -r*l - 3*k - 0. Let p = 0 - l. Solve -2*z - 1 = -4*w - 15, 0 = p*w - 3*z + 17 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -213164, -1\/3, -0.1, 0, -1 in ascending order.\nAnswer: -213164, -1, -1\/3, -0.1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 5, 2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 30190\/(-4)*(-2)\/39. Let m = 880 - 493. Let o = m - b. Which is smaller: 1 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n - 11*n**2 - n + 2 + n + 2*n. Let y = -463 - -455. Let c(q) = -7*q**2 + q + 1. Give y*c(g) + 5*p(g).\nAnswer: g**2 - 3*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 8971492026 to the nearest integer?\nAnswer: 308","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.5 + -0.5. Let x be (834\/(-24))\/(2\/8). Let r = x + 135. What is the nearest to 0 in m, r, 1\/2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 389615134 divided by 1\nAnswer: 389615134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) 5 (c) -1 (d) 6\/7 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -326, -452, -602, -788, -1022, -1316, -1682?\n\"Answer: -2*d**3 - 112*d - 212","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -3*r**2 - 831*r - 7236 = 0.\nAnswer: -268, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 48 = 4*p, 52438*g + 36 = -3*p + 52442*g for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10.8 + 12. Let g = k - -10.8. Let o = 17 - g. What is the third biggest value in 2\/5, o, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1211303330 (base 4) to base 14.\nAnswer: -abd92","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-40)\/32*(-124)\/(-310)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(275)*4)\/sqrt(5) - sqrt(660)\/(sqrt(12) - sqrt(972)))\/(3*sqrt(90)\/sqrt(2)*3).\nAnswer: 11*sqrt(11)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 17*n**2 - 11*n**2 + 6.\nAnswer: -28*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 31 = -5*c, 5*c - 49 = -4*a - 6. Let n be (c*24\/(-588))\/(-1). Let 2\/21*g**2 - n*g - 20\/21 = 0. What is g?\nAnswer: -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 44\/(-3)*9\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 196355 is divided by 49053.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -2*m + 1. Let a be x(-1). Suppose -v + a = -0. Suppose 0 = 6*o - v*o - 45. Does 15 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1003*j - 5*r + 45 = 1003*j, -j = 24*r - 221 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 377423176?\nAnswer: 2, 13, 53, 68473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - -a275?\nAnswer: a274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10906 and 57114?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -0.1, 3\/14, -1 in increasing order.\nAnswer: -1, -0.5, -0.1, 3\/14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*b + 4*b - 2*b)*((3 + 1 - 1)*(2 - 5 + 2) - 5 + 1 + 2) + 236*b + 252*b + 273*b.\nAnswer: 771*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 1539*q**2 + 11*q - 12. Let z(h) = -307*h**2 - 2*h + 2. Give -2*g(d) - 11*z(d).\nAnswer: 299*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 2:41 AM?\nAnswer: 10:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3230166 (base 8) to base 11.\nAnswer: 540465","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -27 + 53 - 32*m - 26 + 21*m**2 - 9*m**3 wrt m.\nAnswer: -54*m + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11\/8? (a) 1 (b) 3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dqdoqqd. Give prob of sequence ddd.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-77)*8 + -31 + 18615\/595.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*p**2 - 41*p**2 - 80*p**2 + 16*p**2.\nAnswer: -87*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -788\/9*h**2 - 16\/3 + 1600\/9*h = 0?\nAnswer: 6\/197, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4 + 7 + (-7 - 0). Solve -15 = y*l - 7 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**2 - 8*g + 4. Let f(a) = 2*a**2 + 15*a - 10. Let k(h) = -3*f(h) - 7*s(h). Let y(p) = 2*p + 10. Let w be y(-9). Give k(w).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 5*b + 5*p - 1223, -2*b + 2*p = -1202. Suppose 3*s - b = 587. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {i: 5, s: 8, k: 2, z: 3, r: 2}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of -3*d**4\/5 + 296*d**3\/15 - 192*d**2 + 1152*d\/5 + 38. Factor h(a).\nAnswer: -4*(a - 12)**2*(3*a - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -42, -45, -48, -51, -54, -57?\n\"Answer: -3*t - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r**3 + r**3 + 2*r**3)*((-2*r + 2 - 2)*(4 - 1 - 2) + r - 7*r + 4*r - 1 + r + 1) + 64*r + 47*r**4 - 64*r.\nAnswer: 50*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/8)*h\/(h*h**(-9))*(h**1)**(-38))\/((h**5\/h*h*h**(-1)*h)\/(h**(-8)*h*h**(-6))) assuming h is positive.\nAnswer: h**(-375\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (-2 - -6) - 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n*n*n**(-4)\/n*n*n\/(n*n**(-1\/7)\/n*n)*(n**(-1))**(1\/14) assuming n is positive.\nAnswer: n**(-13\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-24)\/(-40))\/((-2)\/(-10)). Solve 0 = x - s*x + 8 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -181874925*n**2 - 7496625*n - 6.\nAnswer: -363749850","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the third derivative of -c**5\/60 + c**4\/3 + 4*c**3\/3 + 10*c**2 - 3*c. Let d = -61 + -35. Let r = d - -105. Give g(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/6*2)\/((-2)\/12).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/(2\/2782))\/(-4 + 5). Suppose -508 = -9*b + p. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 99*k + 1. Let v(n) = -45*n. Let c(d) = 9*v(d) + 4*z(d). Let u(o) = 2*o - 1. Calculate -2*c(f) - 11*u(f).\nAnswer: -4*f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -573.\nAnswer: -1719","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -48772 greater than 29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1254*k - 642*k = 629*k - 17. Let p(l) = 2*l - 1. Let u(y) = 1. Determine k*p(g) - 5*u(g).\nAnswer: 2*g - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 49101734 to the power of 1\/3, to the nearest integer?\nAnswer: 366","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -147842.98 rounded to the nearest ten?\nAnswer: -147840","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -i**3\/2 - 231*i**2\/2 + 350*i - 234 = 0.\nAnswer: -234, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 88218139 to the nearest integer?\nAnswer: 9392","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000024101 to 6 dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 111864 + -76841. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2264 and 4.\nAnswer: -9056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1550531 or -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -182*j = 97*j + 285 + 918 + 2982 for j.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/9)\/((-50)\/525)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53661605?\nAnswer: 5, 17, 19, 149, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 959*c**2*i + 118*c**2 - 3 wrt i.\nAnswer: 959*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 55 by 1.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43604 = -4*o + 3*q, -4*o - q - 43620 = -0*q. Let n be (o\/(-87) + 2\/(-6))*27600. Round n to the nearest one hundred thousand.\nAnswer: 3500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2790 and 13071?\nAnswer: 36468090","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7041 + -7042. Let j = -265\/56 - -34\/7. Let u = 11\/105 - -2\/21. Which is the closest to u? (a) t (b) j (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21*k**2 - 21*k**2 + 67*k - 16*k + 60*k**2 wrt k?\nAnswer: 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 - 7*p**2 + 12*p - 17. Suppose -14*d - 30 + 114 = 0. Is 7 a factor of j(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 280 and 2135.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -2*f**2 - 10*f + 23. Calculate v(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 60142597 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 - 25*u**2 + 18*u + 1. What is the units digit of f(-26)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.4 - -3.4. Which is bigger: x or 0.7?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1\/9, -214, -1, -943, 1\/4?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - -452150?\nAnswer: 452153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 2 = 15*k - 13*k, s + 5*k = 7 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, 188, 15 in decreasing order.\nAnswer: 188, 15, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 8.689 and -0.09806897916?\nAnswer: 8.78706897916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*f - 39*f - 128 = 0. Calculate the highest common divisor of f and 128.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 29, 69, 167, 353, 657, 1109, 1739, 2577?\n\"Answer: 5*i**3 - i**2 + 8*i + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the third derivative of 0 + 4\/3*s**3 - 5*s**2 - 1\/3*s**4 + 1\/30*s**5 + 0*s. Factor z(v).\nAnswer: 2*(v - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange c**2 + 0*c**2 + 4 - 5 + 8*c**2 to d + k*c**2 + m*c and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 184260 and 4753908.\nAnswer: 23769540","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that y**5\/2 + 762*y**4 + 365649*y**3 + 72706028*y**2 + 10990755477*y\/2 + 56091029886 = 0.\nAnswer: -843, -223, -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**2 - 6*x + 1. Let b be m(5). Let t be 6\/9*b\/(-4). Is 6*(-1 - t\/(-2)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/55 or -6326?\nAnswer: -6326","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/(-4)*8\/3. Let j = -3 - -6. Suppose d = 3*z - 13, d - 5*d + z = -j. Sort -1, k, d in descending order.\nAnswer: d, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, s: 3, c: 1, p: 2, h: 4}. What is prob of sequence hsm?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*v**2 + 33 - 33 as d + c*v + u*v**2 and give u.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 43 - 22. Suppose z = 2*m + 5*m. Let i be (-3 - -20)\/(3\/m). Solve 2*k + 2*x + 3*x = i, -k + 2*x = 14 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 5\/(-25)*1 + 4008\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/7 in 2.2, -2, 5, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1, -4, 38, 68, 6, -2 in decreasing order.\nAnswer: 68, 38, 6, 1, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.18 - 0.08. Let z = i + -1. Is -0.1 > z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*b**5*k**3*u - 2123333*b**3*k*u + 2*b**2*k**2 + 7*b**2*k - 12*b*k**3 - b + k**3*u + 228*k*u wrt b.\nAnswer: 180*b**2*k**3*u - 12739998*k*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {k: 10, a: 5, u: 4}?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*2\/1*(-11)\/(-22)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26 - 14*h**2 - 26.\nAnswer: -14*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -16996748 + -3\nAnswer: -16996751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1167 = -115*o + 1593 for o.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 115249?\nAnswer: 115249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 17 + 3 - 6.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2 + 2*a - 1. Let z be (4\/(-6) - (-102)\/18)*1. Let c(i) = -i**3 - 17*i**2 + 11*i + 11. Let u(k) = z*n(k) - c(k). Calculate u(-12).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 126 and 270?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -116, -117, -118, -119, -120?\n\"Answer: -h - 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -19376 - 19*v + 38751 - 5*v**3 + 85*v**2 - 19375 - 61*v.\nAnswer: -5*v*(v - 16)*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -71895 by -6.\nAnswer: 23965\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2 + 11451*i + 22904. What is b(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -16 + 7. Solve 2*j - 1 = l*s, 2*s - 8 - 2 = -4*j for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.01 - 1.089.\nAnswer: -1.099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00399932 to five decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -17*x**2 - 16. Let i(v) = -2 + 16*v**2 + 13 - 5*v**2. Let y(b) = -8*i(b) - 5*n(b). What is the derivative of y(w) wrt w?\nAnswer: -6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9816 divided by -1227.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46 is divided by 21?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 329 is divided by 55?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddrrdddd. Give prob of sequence rr.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the third derivative of q**4\/24 + 4*q**2. Let z(u) = -14*u - 68. Let s(j) = -5*j - 24. Let n(h) = 17*s(h) - 6*z(h). Give n(a(k)).\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -6 (b) 4440 (c) -5 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 12 = 4*p, -33*b - 3 = p - 37*b for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4462 bigger than 4463?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 53561 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**3 - 1668*n**2 - 3308*n + 4980.\nAnswer: -4*(n - 1)*(n + 3)*(n + 415)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1921 = -34*l - 15827. Let g = -518 - l. What is the remainder when 34 is divided by g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**2 - 47*g - 513. Let p be i(-18). Let h(t) = -7*t**3 - 2*t**2 - 13*t - 9. Let v(x) = -3*x**3 - x**2 - 6*x - 4. Determine p*v(m) - 4*h(m).\nAnswer: m**3 - m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 517?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) 0.2 (c) 1\/18703 (d) 0.5 (e) 14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 2.5. Let u = 6.2 + -11.2. Sort k, -0.1, u in increasing order.\nAnswer: u, k, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -26 - t + 4*t + 15 + 7. What is s(10)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - p = 3527 - 165, 0 = 3*b + 3*p - 3378. Let c = -640 + b. List the prime factors of c.\nAnswer: 2, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -69, 1, 0, 28?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*l**4*t**2 + 5889377*l**2*t**2 + 54*l*t**2 - 31803*l - 4*t + 2 wrt l?\nAnswer: 96*l**2*t**2 + 11778754*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f = -3*w + 3, -4*w = -17*f + 19*f - 8 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 27527 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -325 + 1622. What are the prime factors of y?\nAnswer: 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + 150 + 174. Let v be d\/234 - 1\/2. What is the nearest to 2 in 1\/2, 1, v?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express a - 3*a + 260*a**2 + 0*a + 267*a**2 - 532*a**2 - 14 in the form d*a + c + r*a**2 and give r.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -69*q**4 - 25*q**4 - 68 - 66*q + 68 wrt q.\nAnswer: -1128*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 207950?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5293 and 1943.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the second derivative of -704*w**5\/5 + 524*w**4\/3 + 358*w**3\/3 + 2*w**2 - 68*w - 3. Find f, given that l(f) = 0.\nAnswer: -1\/4, -1\/176, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the third derivative of 2*r**5\/15 + r**4\/6 - 2*r**3 - 4*r**2. Find i, given that p(i) = 0.\nAnswer: -3\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + -226?\nAnswer: -233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -2*m**3 - 3*m**2 + 3*m + 3. Let x(w) = 3*w**3 + 4*w**2 - 4*w - 4. Calculate -3*x(h) - 4*z(h).\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 - -19. Suppose 4*l - o - 7 = 0, 2 = -3*l + b*l + o. Solve w + l = -0*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 447687.6187 rounded to the nearest 10000?\nAnswer: 450000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzeazaa. Give prob of picking 1 e and 1 z.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 61559273*d**2 + 1446*d + 4517 wrt d?\nAnswer: 123118546","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*h - 190 = -55 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 5*i + 30 = 0, -8*z + 4*z = 5*i for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 i, and 2 t when four letters picked without replacement from {m: 1, q: 1, t: 3, i: 6, h: 2}.\nAnswer: 36\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 8*y + 2. Let h(l) = -13*l - 3. Let g(d) = -2*h(d) - 3*v(d). Let r(x) = 208*x. Determine g(r(k)).\nAnswer: 416*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 42100051 to the nearest integer?\nAnswer: 6488","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 25 - 9 = 0. Suppose a*l - 1126 + 30 = -5*m, 4*l = 16. Suppose -3*v = 5*x - m, -v - 2*x = -3*v + 128. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*x - 0*x. Suppose 3*n + 87 - 453 = -3*t, 2*n - 245 = -t. Suppose 0 = 7*r + 39 - n. What is the smallest common multiple of x and r?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-3)\/(-4))\/(2\/8). Let u be ((-4)\/(-5))\/(n\/(-30)). Let y = u + 17. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 344\/(-2) + 0\/2. Let o be (-1)\/(-2)*16\/j. Which is bigger: o or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 353 divided by -18.\nAnswer: -353\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2701?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 196 divided by 196\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 290117679?\nAnswer: 3, 467, 207079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8 times 1197?\nAnswer: 957.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1651 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = -84*z + 88*z. Let y(b) = b**3 - 6*b**2 - 3*b - 1. What is the remainder when y(7) is divided by z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 3751\nAnswer: 5\/3751","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 + 9*r**2 + 13*r - 15. Let i be 15 - (2 + -7 - -4)*-5. Let t be z(i). Solve -4*j - 3*s - s = 0, -2*j + s + t = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 603 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1130458 (base 9) to base 7.\nAnswer: 5122013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 75063*v**6 - 1058*v**2 + 7*v + 2 wrt v?\nAnswer: 9007560*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 9:24 PM?\nAnswer: 9:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -62 - (11 + 16 - (35 + -9))?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 4*a**2 - 245*a - 58. Determine c(61).\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 150 and 4198170?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 15) in base 9?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -176fe (base 16) in base 11?\nAnswer: -66141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1590, -6324, -14204, -25224, -39378, -56660, -77064?\n\"Answer: t**3 - 1579*t**2 - 4*t - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 172 - 52*l - 427 + 255.\nAnswer: -52*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -2*k**2 - 12*k - 9. Let b be l(-4). Let j = 8 - b. Calculate the greatest common factor of j and 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is ba85 - 0?\nAnswer: ba85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/2*8\/12?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/99 in 0.05, -4, -0.1, -1?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 3428649?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 - (-10*1 + -2). Suppose -y = -3*z + z. Let j = z - 0. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*d**2 + 2*d**2 - d**2 + (6*d - 2*d - 2*d)*(9 - 9 - 12*d) - d**2 - d**2 - d**2.\nAnswer: -29*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 103079 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 141 is divided by (2 + 16 + 4)*5\/10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -36\/7*p + 16\/7 - 10\/7*p**2 = 0.\nAnswer: -4, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20 - 121212011?\nAnswer: -121212101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z**(3\/8)\/z)*z**(-5\/6))**47\/((z*(z**1*z*z)\/z)**(-4\/31)*(z**1)**(-1\/7)) assuming z is positive.\nAnswer: z**(-48235\/5208)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -2*b**2. Let c(y) be the first derivative of 2*y**3\/3 + 17*y**2\/2 + 33. What is c(s(q))?\nAnswer: 8*q**4 - 34*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 74*u**3 + 55*u**2 - 53*u - 3. What is the remainder when 1970 is divided by w(1)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -10*q + 135. Calculate the least common multiple of 4 and q.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15137928 divided by 32346?\nAnswer: -468","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 7144330?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 46 - -56c0?\nAnswer: 5736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 6*t + 92 - 112 = 0, -3*t = -4*u + 5 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.86 + -1828845.2686.\nAnswer: -1828844.4086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 389*u + 6 = 386*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 6*i**2 - i + 2. Let j(d) = 6*d**2 - d + 2. Let t(r) = -4*j(r) + 5*u(r). Is t(4) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-77)\/(-22)*16\/84?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bibii. What is prob of sequence bib?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -147*-11*9\/27. Let t be 2*-20*(0 - -4). Let x = p + t. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f**2\/13 + 128832*f\/13 = 0.\nAnswer: -64416, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + -211?\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 0*j = -5*s + 194999995, -s = -5*j - 194999999. What is j rounded to the nearest 1000000?\nAnswer: -39000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -12*d + 40. Find the second derivative of 55*p**4 + 11*p**4 + 9*p**d + 84*p wrt p.\nAnswer: 900*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 3 = -3*p. Let h(v) = 62*v**3 - v + 1. What is the remainder when h(p) is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 87133?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + 1c?\nAnswer: 1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 103\/4, 6\/11, -4\/9, 2?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 3 = -j + 4*j - 1, -32 = 9*m + j for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 2 v when four letters picked without replacement from {t: 1, v: 4, e: 2, w: 8}?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60 + 104 = -195*o + 1139 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 - 11\/(429\/(-72)). Sort f, -0.3, 0 in ascending order.\nAnswer: -0.3, f, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the second derivative of 0 + 1\/5*d**2 + 3*d + 1\/10*d**3 - 1\/100*d**5 + 0*d**4. Suppose l(r) = 0. Calculate r.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3688720688?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12009 - 11968) + -154 + -2.\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20*s*y**3 + s*y**2 + 66*s*y + 2*y**2 - y wrt y.\nAnswer: -120*s*y + 2*s + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 7905 + -249 + -3*(-3)\/1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 83631 (base 9) to base 4.\nAnswer: 31132111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3123657?\nAnswer: 3, 19, 6089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 40*y + 798959 - 797399 for y.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 567 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/4 of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 f when two letters picked without replacement from {u: 5, f: 1, p: 12, g: 1}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 121134 (base 5) to base 11.\nAnswer: 3461","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-27 - 5012\/(-196))\/(-5 + 3055\/624)\nAnswer: 96\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2\/7 + 653840*l\/7 + 93406.\nAnswer: -2*(l - 326921)*(l + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -14 (b) 26 (c) 0 (d) 7 (e) 7.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((q\/((q*q\/(q\/(((q\/((q\/(q\/(q*q**(2\/15))*q*q))\/q))\/q)\/q)))\/q))\/q)\/q)\/q**(7\/5))**(-12\/13))**21 assuming q is positive.\nAnswer: q**(4116\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*k - 432385 = -28894. List the prime factors of k.\nAnswer: 12227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 2)*(6*a - 2*a - 3*a)*(-6*a + 5 - 5)*(3 - 5 + 4).\nAnswer: 12*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2590 and 40?\nAnswer: 10360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4419 and 13824.\nAnswer: 6787584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n**2\/3 + 12902*n\/3 - 25780 = 0. Calculate n.\nAnswer: 6, 6445","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*n**5 - 3*n**5 + n**5 + (-5*n**2 + n**2 + 11*n**2)*(-2*n + 4*n - 4*n)*(0*n + 0*n + 2*n**2).\nAnswer: -27*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -274 = -4*x - 302. Which is bigger: 148 or x?\nAnswer: 148","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a millennium in years?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 4 = 0, 0 = -3*d + 2*k + 2 + 12 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-22) + 3495*(-6)\/990.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -39*x**2 + 423*x + 66.\nAnswer: -3*(x - 11)*(13*x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 + 16. Let g(q) = -z*q - 2*q - q**2 + q - 3. Give g(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*c - 3*c**3 + 336*c**4 - 2*c**2 - 144*c**4 - 229 - 195*c**4 + 0*c**2 to the form a*c**4 + w*c + v*c**2 + k + z*c**3 and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -28\/1155025 or 0?\nAnswer: -28\/1155025","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 252 and 0.2.\nAnswer: 50.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 324*p**3 + 12*p - 17. What is the thousands digit of u(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 659789 is divided by 329418?\nAnswer: 953","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8\/20*30\/4*1. Suppose 1015 = z*b - 677. Is 11 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from ffzfzfzffffzzzzfzffz.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22774?\nAnswer: 2, 59, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -3*d**3 + d**2 - d + 2. Let v be o(1). What is the closest to 1 in -5, 2\/3, v?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.1 + 4.1. Let j be (1090\/78)\/5 + -2. Let b = 6\/13 - j. Is b smaller than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 4582*i - 2. Let x(h) = -12*h. Calculate x(d(c)).\nAnswer: -54984*c + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 92.9 - 97. Let l = i + 4.142. Let g = 0.442 - l. Sort -0.1, -3\/2, -3\/5, g in descending order.\nAnswer: g, -0.1, -3\/5, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 871868.8 weeks to minutes.\nAnswer: 8788437504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18808*r*v**2 - r*v - 176*r + v wrt v.\nAnswer: 37616*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 984255 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -6 + (-4)\/(-2) - 1. Let j = w + 4. Put j, -2, 1 in decreasing order.\nAnswer: 1, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 273, 266, 255, 240, 221?\nAnswer: 198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 8 = -0*i. Let v be (-3)\/i*4\/3. Suppose -3*g + 3 = -2*k - 15, v*g - 14 = 2*k. Solve -y - g*y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 3 + 3)*(1 - 1 - p)*(-6*p - 6*p + 6*p) - 8 + 3 + 7 + p**2 in the form b*p**2 + v + g*p and give b.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (12 + -7 - 9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72) + -5*-1*sqrt(72) + sqrt(72) + sqrt(72) + -1*sqrt(72) + -2 + sqrt(72) - (5 + 5 + 1*sqrt(72)))**2*3 + -3.\nAnswer: -3024*sqrt(2) + 11013","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7482 is divided by 312.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000592 rounded to six decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 2 + 4*a**2 + 1285*a**3 + 3*a + 1245*a**3 - 4*a**2 - 2531*a**3. Determine q(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 446*q = -1076*q - 225256 for q.\nAnswer: -148","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 5*c = -z - 2, -4*z - 23 = -c for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 5*k, 0 = -4*r + 3*r - 4. Put 2, -5, k in ascending order.\nAnswer: -5, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36335102 + -0.89381.\nAnswer: 36335101.10619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 182301492 = 182301490?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the first derivative of d**4\/2 + 2*d**3 + 3*d**2 + 2*d + 32. Let v(n) = 0. What is n?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79 - 32 = 5*w - 3*n, -15 = 5*n. Is 1\/((w\/43256)\/(-4 - -1)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 6*k**2 + 2*k + 1. Let j be 24\/20*(140\/12 - 5). Suppose -94*w = -90*w - j. Calculate x(w).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 + 3*8\/(-12). Is z <= -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = q + q. Let t = 8407\/12 + -701. Calculate the common denominator of ((-115)\/q)\/(12\/(-10)) and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -18894170 - -6?\nAnswer: -18894164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 818743 - 818739.4399781. Let c = 3.56 - z. Round c to six dps.\nAnswer: -0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -18 + -317a02?\nAnswer: -317a1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -519602*f + 519561*f + 41 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 20806011 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 - 3) + (-8)\/1. Let d be 8 + p + 4*2. Let o = d + 2. Which is smaller: 7 or o?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1839 and 1096657.\nAnswer: 613","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 2*f**3 - 7*f**2 + 29*f - 3. Let v(x) = -7*x**3 + 21*x**2 - 85*x + 8. Let a(h) = -8*t(h) - 3*v(h). What is the second derivative of a(l) wrt l?\nAnswer: 30*l - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 1206 + 958. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2795? (a) 5 (b) -167.32 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/6)\/(5\/(-3)) - (360\/(-25) - 19).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (57\/(-114))\/(68\/(-16))?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 193265?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 16ca618 (base 15) to base 13\nAnswer: 358ac93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 75421?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 2*a - 6 = 0. Suppose -8*h + a*h + 5 = 0. Let n(u) = -3*u**2 - 2*u - 5. Let w(q) = -63 + 26*q - 25*q + q**2 + 64. Calculate h*n(m) + 2*w(m).\nAnswer: -m**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -16, -4*z - 15 = -b - 39. Suppose 4*d + 11 = -5*k, -4*k + 4*d + 13 = -z*k. Solve -3*l - 2 = k for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 16347947 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 + 4*q**2 + 2*q + 1. Let o = -133 + 134. Let i be (0 + o + -7)\/(-12 - -14). What is u(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -59? (a) 1\/7 (b) 2478 (c) 3 (d) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -39.346 to one dp.\nAnswer: -39.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2002?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q + 17 = -11. Let g(l) = 15*l**2 - 8*l + 13. Let h(w) = 16*w**2 - 10*w + 15. Let f(v) = q*h(v) + 5*g(v). Let n(o) = -o**2. What is n(f(u))?\nAnswer: -121*u**4 - 110*u**2 - 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 11) in base 15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sscsmccscscsccsccsc. What is prob of picking 1 m and 1 c?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 + (6 - 3) - 3. Factor -f**d - 21*f - 4 + 21*f + 3*f**2.\nAnswer: -(f - 2)**2*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 403 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 - -173263755084.\nAnswer: 173263755083.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 - q**2 - 367*q + 1847. Give x(5).\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 1:46 AM?\nAnswer: 4:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*u**2 - 2)*(2*u**2 + 2*u**3 - 2*u**2) + 8 - 8 + 6*u**5.\nAnswer: 2*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6129947 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -91.33 rounded to the nearest ten?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*p - 364 = -23*p. Suppose -51 = -2*n + 35. Let c = n - 32. Calculate the remainder when p is divided by c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(65) - (sqrt(65) + sqrt(65)*-1 + sqrt(65)))\/sqrt(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -2*k**2. Let g(j) be the first derivative of -5*j**4\/12 - 13*j - 16. Let b(r) be the first derivative of g(r). Calculate b(y(w)).\nAnswer: -20*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28)\/(sqrt(16)\/sqrt(4)) - sqrt(7))**2 + (-3 + sqrt(7) + -4)**2.\nAnswer: -14*sqrt(7) + 56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -532272 = -144*v + 19*v - 83*v. Does 162 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -8*f - 15. What is the remainder when 3\/((-2)\/24*-4) is divided by -1*f\/(-6)*-4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bllkkt. What is prob of picking 1 b, 1 l, and 1 k?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 821, 6822, 23233, 55262, 108117?\n\"Answer: 868*m**3 - 3*m**2 - 66*m + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 + 3*x**2 - 3*x + 4. What is the remainder when 36 is divided by h(-3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 5*u - 25, 0 = 4*j + 3*u + 24 - 53. Sort j, -3, -175, -2.\nAnswer: -175, -3, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 114\/114*-1*5\/(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -2*z**3 + 49*z**2 + 26*z + 39. Let t be a(25). List the prime factors of -4*(-3)\/96 + 58872\/t.\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/(-10)*1\/3*-5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 3*l**3 + 17*l**2 + 22*l - 202. Let m(t) = t**3 + 9*t**2 + 11*t - 82. Let u(i) = -5*m(i) + 2*o(i). Calculate u(12).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 9. Let o(f) = -2*f**2 + 5*f. Let y(v) = 2*v**2 - 6*v. Let t(w) = i*y(w) + 6*o(w). Let u(p) = 0*p**2 + 0*p**2 + p**2. Determine t(u(j)).\nAnswer: -2*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18478 is divided by 154.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.06 + -0.14. Let b = -20.5 + 20. Let s = 0.2 + -0.2. What is the nearest to m in s, b, 1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.4 - -1.6. Let s = -7.1 - -7. Sort s, g, -3 in ascending order.\nAnswer: -3, s, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5)\/18 - (-1)\/2. Let y be (-3)\/(-1)*(-5)\/15. What is the closest to 2\/3 in 2\/7, a, y?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bxb when three letters picked without replacement from {b: 2, x: 7, h: 7}?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*m + 63 = -16*m. What is the second derivative of -3*d - 30*d**3 + 28*d**4 + m*d**3 - 27*d**4 wrt d?\nAnswer: 12*d**2 - 138*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 590*m**5\/11 + 17354*m**4\/11 + 38634*m**3\/11 + 4462*m**2\/11 - 15032*m\/11 + 216 = 0. Calculate m.\nAnswer: -27, -2, -1, 11\/59, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 r when two letters picked without replacement from rrsskykxsyxtryy?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (3*16\/(-56))\/(7\/98)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 4*o = 13, -4*q - o + 426 = 433 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7044, 0, 6, -1, -18 in descending order.\nAnswer: 6, 0, -1, -18, -7044","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u**2 + 3695728*u + 853650340624 = 0 for u.\nAnswer: -461966","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 15*o - 3. Let h(x) = 15*x - 4. Let i(u) = -6*a(u) + 5*h(u). Let t = -496 - -485. Let n(b) = 8*b + 1. What is t*n(d) - 6*i(d)?\nAnswer: 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 127 + -132.9. Let k = q - -5.63. Round k to 1 decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1220261 (base 7) to base 12.\nAnswer: 76492","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -59 - -49. Let h be (-12)\/(-30) - 26\/v. Put -1, h, 2, 5 in descending order.\nAnswer: 5, h, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 5) to base 9\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 354069*w**2. Let n(r) = -3*r**2. Determine m(n(k)).\nAnswer: 3186621*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 0, 10*k + w = 5*k - 10. Let z(f) = -f**2 - f + 1. Let c(h) = -h**2 - 2*h + 2. Give k*z(d) + c(d).\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (150\/18 + -7)) + (-262)\/(-192).\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(108)\/sqrt(48))\/(2*sqrt(108))*-3)**2.\nAnswer: 3\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-1 - -4) + 87\/(-60) and 151\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.1 and 132777.89.\nAnswer: 132777.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of 79*x**2\/2 - 17*x - 61. List the prime factors of w(10).\nAnswer: 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23130054 (base 6) to base 16\nAnswer: -adb72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 - 7*m + 8. Let b be r(6). Suppose 0 = -5*z - b*w + 30, 4*w = z - w + 21. Let f = -14 - -17. Calculate the remainder when z is divided by f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6311*l - 6316*l - i = -2*i + 19, 0 = -3*l + 5*i - 73 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22.964 + 23. Let i = j + 2.264. Let x = i - 2.299935. What is x rounded to five decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of h**4\/10 + 2*h**3\/15 - h**2 + 6*h\/5 - 34. What is a in s(a) = 0?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 36 and 1510.\nAnswer: 27180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 - 5*f**2 - 3*f + 5. Let h(l) = -l**2 - 6*l + 18. Calculate the remainder when h(-8) is divided by k(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 216.51 and -0.4.\nAnswer: 216.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from lbbbp.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**2 + 111*b - 423. What is q(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the first derivative of -a**2 - 8*a - 6. Let r(m) = -2*m + 2 + m - 7. What is 5*l(h) - 8*r(h)?\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28 (base 14) to base 15.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5 or 13\/3?\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17721*q**4 + 2112 with respect to q.\nAnswer: 70884*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 440 and 908050?\nAnswer: 3632200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -5*i**2 - 19*i + 7. Let y be g(-4). Let h(d) be the second derivative of -1\/3*d**y + 0 - 4*d + 3*d**2. Calculate h(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*(-9)\/(-270)*(1 + -2)\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 g, and 1 i when three letters picked without replacement from {p: 2, u: 1, l: 1, i: 1, g: 2}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11489625 to the nearest integer?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 4:09 PM?\nAnswer: 4:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 649 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.014251084 or 2?\nAnswer: -0.014251084","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 2. Let w be 2\/f - (-6)\/10. Let j = 0.37 + -0.07. Which is the second biggest value? (a) 2 (b) j (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 43 and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*i - 6*i + 8*i)*(-6*i + 2*i + 2*i)*(57 - 122 - 74).\nAnswer: 2502*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 12*k + 137. Let w be v(-11). Solve -3 = -u - 4*j + 2, -w*u = 4*j + 7 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 25 - (-1 + 3 - -2). Let k be (-4)\/12 - w\/(-36). Which is the fourth biggest value? (a) -3\/8 (b) 2\/3 (c) k (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 139 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -6*i**2 - i**2 + 9*i + 3*i**2 - 7 + 5*i**2. Let j(v) = -v**2 - 9*v + 6. Let w(g) = -7*j(g) - 6*t(g). Find the second derivative of w(f) wrt f.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3188002 to the nearest integer?\nAnswer: 1785","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 2*c**3 - 3*c**2 + c + 2. Let m be v(1). Solve -l = -5*h, -13 = 2*l + 5*h - m*h for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.4 - -2.4. Which is the closest to u? (a) 3 (b) -1 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/15, 1\/212, 3, 1.\nAnswer: -2\/15, 1\/212, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*w - 35*w = -12 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -33177 divided by -3?\nAnswer: 11059","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 8\/28*26\/(-8) and 1\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -41 - -12?\nAnswer: -2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2312042*a*c**3*t**3 + 3*a*c**3 + 3*a*c**2*t - 11*a*t - 53*c**3*t**2 + 13*t**2 wrt t.\nAnswer: -13872252*a*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((sqrt(1452) + (sqrt(1452) - -1*sqrt(1452)) + 2)*5 - (2*(sqrt(1452) + 1) + sqrt(1452) + -1)))**2.\nAnswer: 19008*sqrt(3) + 836676","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14, -64, -188, -422, -802, -1364, -2144?\nAnswer: -3178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 238*s - 237*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 23 - -20101331?\nAnswer: 20101404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 189, 193, 183, 153, 97, 9, -117, -287?\n\"Answer: -u**3 - u**2 + 14*u + 177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes after 1:46 AM?\nAnswer: 1:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*v - 2*v**3 + v**2 - 26683*v**4 + 26684*v**4 - 3 + 13 to the form p*v**3 + i + w*v**4 + x*v + j*v**2 and give i.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 95615, 382326, 860165, 1529126, 2389203, 3440390, 4682681?\nAnswer: 6116070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 742897.8 weeks?\nAnswer: 449304589440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the third derivative of -7\/60*y**5 - 30*y - y**2 + 0*y**4 + 97\/120*y**6 + 13\/6*y**3 + 0. What is the third derivative of t(d) wrt d?\nAnswer: 582","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2341 and -4.\nAnswer: 2337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 377804773 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*j = -10*j - 36. Let w be (1 - (1 - 0))*9\/j. Solve n + 4 = -4*r, w*r - 5*n = 5*r + 5 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3963*h + 3459*h - 11378*h - h**3 - 4*h**3 + 3956*h.\nAnswer: -5*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1284?\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 2 - 1 = 0. Suppose -c + 6 = 5*w + 1, 5*c + 4*w - 25 = 0. Suppose -c*y = -2*y. Is y less than or equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -311\/2 + 167. What is the common denominator of -5 and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*d**3 + 83*d**3 - 38*d**3.\nAnswer: 38*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the second derivative of 9*h**8\/14 - h**4\/3 + 21*h. Find the third derivative of m(p) wrt p.\nAnswer: 4320*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -53?\nAnswer: -5\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 237773250?\nAnswer: 2, 3, 5, 11, 13, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*j**5 - 372*j**4 + 1916*j**3 - 3424*j**2 + 1698*j - 252 = 0 for j.\nAnswer: 1\/3, 3, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 t when two letters picked without replacement from sfhstnnnnttthttttsfu?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 40 = -z. Let p(r) = 2*r**2 - 3*r. Let l be p(4). Let o be (-2 - -8)*l\/15. Is o at most z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1020202122010 (base 3) to base 8.\nAnswer: 2422005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 44759255 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 2*l**2 + 592*l = 0.\nAnswer: -296, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -87\/64 and -32\/13?\nAnswer: 832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + -3. Let v be o\/(0 - 1\/259). Suppose -l - 88 - 108 = 3*n, -4*n - v = -l. What is n rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 PM and 6:36 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-44 - 2) + 8968\/133. Determine a, given that 130\/7*a + 2\/21*a**3 + x - 58\/21*a**2 = 0.\nAnswer: -1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -42*f - f**2 - 44*f - 52*f - f**2 as d*f + h + p*f**2 and give d.\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 8*y**3 - 16*y**2 - 6*y + 32. Let a(n) = 5*n**3 - 8*n**2 - 3*n + 16. Let r(z) = -5*a(z) + 3*l(z). Does 40 divide r(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-7)\/((-35)\/(-10)) + 3. Let m(q) = 338*q**2 - 3*q + 2. Is m(s) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15 - -11. Let w = 94 + -93. Which is the nearest to w? (a) s (b) 1\/12 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 - 8*g**2 - 5*g - 1. Let i be l(-8). Suppose 34*h - i*h = 0. Suppose 0 = -3*y + 39 - h. Which is bigger: y or 12?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12a07a (base 14) in base 12?\nAnswer: 26b790","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 65 + -66. Let a(h) = -4 - 6*h**2 - h**3 - 8*h - 6 + 15*h. Let q be a(-7). What is the third smallest value in -0.4, t, q?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 4650 (b) 2\/3 (c) -2\/7 (d) -8\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 13*b - 576. Let f be j(58). Solve -f*m = -188*m - 60 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17\/(238\/(-36))*826\/177\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -31675*-6\nAnswer: 190050","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the third derivative of -32*c**7\/105 + 25*c**3\/6 - 71*c**2. Find the first derivative of i(b) wrt b.\nAnswer: -256*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -200010220120020212 - -10?\nAnswer: -200010220120020202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 2:46 PM?\nAnswer: 8:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m**5 - 132*m**4 + 2538*m**3 - 11888*m**2 + 16680*m - 7200 = 0. What is m?\nAnswer: 1, 4, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2*v**3 + 13*v**2 + 8*v - 10. Determine h(-6).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*-1*24\/(-40)*-5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 11\/10 of a centimeter?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 837\/45 + (-2)\/(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 52\/52969 and 15\/32683.\nAnswer: 1536101","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -70 - -110. What is the lowest common multiple of 18 and w?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1246*k**2 + 0*k + 625*k**2 + 10*k - 11*k**4 + 623*k**2 to u*k + w*k**4 + x*k**3 + i*k**2 + l and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 - 4*f**2 + 3*f - 7. Determine k(-4).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -10, 2, 13, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes before 11:14 AM?\nAnswer: 12:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 PM and 4:54 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1909 and 287761?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 58*o**3 + 2*o**2 - 58*o - 2.\nAnswer: 2*(o - 1)*(o + 1)*(29*o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirteen quarters of a century?\nAnswer: 3900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 32 = 7*g. Suppose d = -3*n + 9, -11 + 34 = 5*d + g*n. Find the third derivative of -o + o + 30*o**3 - 15*o**d - 22*o**2 wrt o.\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (0 + -4 - (-1 + 0)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2266714 - -124?\nAnswer: 2266838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -57*z**2 + 35*z - 5. Let v(c) = 84*c**2 - 49*c + 7. Let i(o) = 7*a(o) + 5*v(o). Let p(x) = 3*x**2 - 9. Calculate p(i(s)).\nAnswer: 1323*s**4 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 3*y + 62. Let f(o) = o**3 - 4*o**2 - 3*o - 6. Let l be f(5). Suppose v - 13 = q + q, l*q = 3*v - y. Solve -4*a - 15 = -v*w - a, 3*w - a = 5 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 744 a factor of 59054402?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 25683 by 4.\nAnswer: 25683\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/928 and (-5887)\/(-14112) + (1\/7 - (-16)\/(-56)).\nAnswer: 8352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = 5*g + 18 + 334, 5*i - 111*g - 80 = -57*g - 53*g for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(17) + 0 + sqrt(17) + -4 + sqrt(153)\/(sqrt(9) - sqrt(9)*2 - sqrt(9)) + 5))**2 + -5.\nAnswer: 12*sqrt(17) + 152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 22 (c) 1\/28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2212 + -a?\nAnswer: 2203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 190 divided by 2.\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 5*b = 1668, 4*m + 2*b - 2539 = 4067. List the prime factors of m.\nAnswer: 3, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13989 + 21026. What are the prime factors of j?\nAnswer: 31, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 21119*n - 21117*n - 2 - 32*n**2 to j + a*n**2 + c*n and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2007 = -16*j + 26*j + 65*j + 168 for j.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.96 + -0.04. Let r = -0.036 + -0.254. Let j = -0.59 - r. What is the closest to -2\/7 in -2, o, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13*b**3*q**2 + 443653*b**3*q - 19*b**2*q**2 - 3*b*q**2 + 2*q**2 - 2*q wrt q.\nAnswer: 26*b**3 - 38*b**2 - 6*b + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -1*sqrt(475)*-4)**2 + ((sqrt(1900)*-1)**2 + sqrt(1900))*1 + (sqrt(1900)*1)**2 + 0.\nAnswer: -150*sqrt(19) + 11416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9179, 36763, 82735, 147089, 229819, 330919, 450383, 588205?\nAnswer: 744379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 3*d = -3, 5*d + 7 = q. Suppose 29*z - 504 = q*z. What is the greatest common factor of 16 and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange a + 29 - 34 + 5*a to m + u*a and give m.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 31*y**3 - y**2 - 3*y - 3. Let o be g(-3). Let j be (o\/45)\/((-2)\/3). Calculate the greatest common divisor of 4 and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -195*g**2. Let d(o) = 14*o**2. Determine d(s(j)).\nAnswer: 532350*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 97 + 103 = 2*n, 4*h - 5*n + 143 = 0. Let w = -32 - h. Suppose 8*x = w*x - 28. List the prime factors of x.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2*i)*(-3*i - 1 + 1) + (20*i + 16*i - 27*i)*(i + 0 + 0).\nAnswer: 15*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16 - 31. Let k = 47.43 + s. What is k rounded to 1 decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/7560 and 104\/105.\nAnswer: 7560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of -c**3\/3 + 2*c + 585. Let i(d) = -5*d**2 + 9. Suppose 3*t = u + 4 - 36, -t + 2*u = 19. Give t*a(g) + 2*i(g).\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -260 or -1304\/5?\nAnswer: -1304\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -1172\/3 at least 0.0525?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 231.\nAnswer: 1155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1*2\/(-3))\/((-42)\/1701). Let x = d - 22. Solve -4*r = -2*n - 3 + 1, 0 = 2*r - x*n - 13 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 1\/3*c**2 + 1\/3*c = 0. What is c?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of c**5\/120 - 7*c**4\/24 - 11*c**3\/3 - 1. Let p(d) be the third derivative of i(d). What is p(0)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 149, 120, 9, -226, -627, -1236?\nAnswer: -2095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + ((-696)\/(-32))\/((-6)\/(-112)). Let x = r + -243. Does 9 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 4:28 PM?\nAnswer: 6:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/4 + (-2)\/(-4). Suppose -2*b + 2010 = -r*b. Suppose 7*p - b = -172. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12.112 + 209\nAnswer: 196.888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of w**3 - 5*w**2\/2 - 5*w - 202. Suppose 0 = 4*u - 5*r + 24, 0 = -2*u + 4*r - 0 - 18. Let z be f(u). Solve 4*a - z*a = 1 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/3210 and -19\/3852?\nAnswer: 19260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + g - 3766 = -4102 for g.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.5 (b) -16 (c) -17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = 9*p - 10 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 24*((-3)\/(-27))\/(5\/(-15))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 770 is divided by 251.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4214 or 4208?\nAnswer: 4208","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqrq when four letters picked without replacement from qqqqrqqrrqrrq.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -11 + -3 + -6 + 29\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 23*o**2 + 32*o**2 - 79*o**2 + 25*o**2 - 380*o - o**4 as x*o**2 + u + r*o**3 + t*o**4 + g*o and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1687 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 64\/3 of a week in hours?\nAnswer: 3584","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6 + (54\/(-24) + 9\/3 - 4). Factor x*a**3 + 0 - 9\/4*a**4 + 4*a**2 - a.\nAnswer: -a*(a - 2)*(a + 1)*(9*a - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7411 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand j + 11*j**3 + 130*j**2 - 130*j**2 + (2 - 2 + j)*(-6*j**2 - 2 - 527*j - 524*j + 1058*j).\nAnswer: 5*j**3 + 7*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10950, -21882, -32802, -43704, -54582?\nAnswer: -65430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -3, -60, 326 in ascending order.\nAnswer: -60, -3, 10, 326","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -61 - -60. Find the common denominator of -8\/25 and (v - 2)\/(-3)*596\/120.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -50420.53 to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 + c**2 + 2*c + 1. Determine a(3).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (12\/(-44) + (-450)\/(-198))*2. Solve -v*c = y - 3, 4*y - 16 = 8*y + 2*c for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(-3) - ((-4)\/(-38) + 34921\/16074)?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 - 14*p**2 + 29*p - 7. Give d(12).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*o**3*v**2*y**2 - 23*o**3*v*y**2 - o**2*v**2*y**2 + 2*o**2*v + 11*o*v**2*y**2 + 2*o*v**2 wrt o?\nAnswer: 36*v**2*y**2 - 138*v*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 74\/5 of a litre in millilitres?\nAnswer: 14800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 - 12*v**2 - 13*v - 16. Let b be o(-11). Suppose 0 = -2*q + 3*d + 17, 3*q - 3 = -d + b. Which is smaller: 3 or q?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from smnmnsbszrrmmss. Give prob of picking 2 r.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -112 (base 8) in base 7?\nAnswer: -134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - -8. Let w(l) = 5*l**2 - 2*l + 1. What is the remainder when w(-2) is divided by n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(176) + 0 + 1.\nAnswer: 1 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19120 by 4780.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 4*t - 2 = 0, 0*t = 2*t - 4. Let s(o) = -2*o + 6. Let p be s(w). Sort p, -3, 5 in descending order.\nAnswer: 5, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2*(-1)\/2 + 16 + -13. Solve 0*o - j*i = -2*o - 10, 5*i = 20 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 3*v**2 - 14*v + 79. Is u(-16) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7798846.958098862 - 7798847. Let h = u + 0.0419. Round h to 7 dps.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -14, 11 in ascending order.\nAnswer: -14, -1, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 105 + -73. Let p be d\/14 + (-4)\/14. Suppose -4*q + 108 = 4*k, -p*q + 7*q - 4*k - 162 = 0. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -4*x - 2. Let q be m(-14). Let l(j) = -46*j - q*j + 94*j - 52*j. Let d(p) be the third derivative of p**5\/60 - 37*p**2. What is l(d(v))?\nAnswer: -58*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*k**2 + 628*k - 3808.\nAnswer: -2*(k - 56)*(5*k - 34)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*q = -3*q + 80. Let w be (-258)\/q - 6\/(-15). What is the greatest common factor of 13 and w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 674298080?\nAnswer: 2, 5, 73, 57731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 + 1 - 6) + 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-12)\/15)\/((-14)\/35). Suppose -j*u + 52 = 32. Suppose -v + u = 2. Solve 3*i + p = -v - 8, 4*i - p = -19 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/((q**(-2\/27)\/q)\/q))\/q**(-1\/4))\/(q**(1\/7)*q)**(-24\/11) assuming q is positive.\nAnswer: q**(48379\/8316)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cccbcfxcfcfbxxcxdcf. Give prob of picking 3 f.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/4*t**2 - 3\/4 + 0*t.\nAnswer: 3*(t - 1)*(t + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -31 + 84. Let x = u - 53.03. Round x to 2 decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 478.896 - 471. Let a = j - -0.104. Which is smaller: a or 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**2 - 7*u - 5. Let c(w) = -w - 2*w + 4*w + 4. Let g be c(-9). What is the units digit of l(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -57*v**2 + 4. Let q(b) = 9*b. Give k(q(w)).\nAnswer: -4617*w**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -19236 divided by -42\nAnswer: 458","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11? (a) -434 (b) 2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 495500, 495501, 495502, 495503, 495504?\nAnswer: 495505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 753585396.\nAnswer: 2, 3, 5851, 10733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69*j - 8*j**3 - 185*j + 116*j.\nAnswer: -8*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x = -2*o - 10, 0 = -4*o + 358*x - 362*x - 8 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.01 + 0.29. Let w = 18.7 + b. Let s = w + -18. Put 5, s, 0.2 in decreasing order.\nAnswer: 5, s, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 155*q = -159*q - 226, 0 = -4*m - q + 164. Calculate the highest common factor of 14364 and m.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 4 + v**2 - 2*v**2 as x*v**2 + l + r*v and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4044 - -2413. What is the thousands digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -192a (base 15) to base 11\nAnswer: -40a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 998333 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5724011 - -0.1.\nAnswer: -5724010.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 749 + -746. Do v and -16 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 729439076?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -6*p + 3. Suppose -2*t - 2*s = -34, 4*t - 9*t - s = -69. Let y = 2 - t. What is the units digit of q(y)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2617964 to the power of 1\/2, to the nearest integer?\nAnswer: 1618","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.17 times 1.1?\nAnswer: -0.187","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 5, s: 4, x: 8}. Give prob of sequence yx.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 0*x + x - 10, -4*x = -3*n + 17. Suppose 0 = -6*t + t + 15. Solve -2*v - t = -n*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 7644\/1568 - (-30)\/(-16). Factor -2\/11*n**2 + 2\/11 + 2\/11*n**w - 2\/11*n.\nAnswer: 2*(n - 1)**2*(n + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (40\/22 + -1)*47. Let o be 50\/(-15)*(93090\/1496)\/5. Let t = o + s. Calculate the common denominator of t and 27.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - -1)\/((-7)\/(-7)). Suppose v + 3 = -z*v. Let a(h) = h**2 - h - 3. What is the units digit of a(v)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2 - j. Let r be f(-2). Suppose -3*s = -7*s - 24. Let t be -2 - (s\/(-3))\/r. Which is the second smallest value? (a) -3 (b) t (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -2*n**3 - 3*n**2 - 3*n + 1. Let m(r) = 4*r**3 + 5*r**2 + 5*r - 3. Let i(w) = 3*m(w) + 5*o(w). Differentiate i(h) wrt h.\nAnswer: 6*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -191 and -194 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -120*m**2 + 60*m**2 + 62*m**2. Let w(f) = -3*f**2. Give w(n(g)).\nAnswer: -12*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13\/39*-12 + 32 is divided by -3*(-3)\/(9\/10).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 103, 144, 213, 310, 435, 588, 769?\nAnswer: 978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 56 = -5*r - 0*r, -4*r = -4*d - 32. What is the highest common divisor of r and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((20\/14)\/(-5))\/((-4)\/644) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1755.99999382 + -1756. Round d to 7 dps.\nAnswer: -0.0000062","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3032401351 + 3?\nAnswer: 3032401354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-13))\/(f*f**(-2\/11)))\/(f**(1\/3))**11 assuming f is positive.\nAnswer: f**(-544\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 4*n + 86 = 0, 2*n - 3*n - 54 = 2*l. Suppose d + 49 = -0*d. Let h = l - d. What are the prime factors of h?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*(q\/q**(-1\/3))\/q*q)\/q)**(-8\/11)\/((q**(-14)\/q)\/(q**(-3\/10)*q)))**(5\/4) assuming q is positive.\nAnswer: q**(4861\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/((q\/(q*q**(-9\/4)))\/q))\/q*q\/(q**14\/q) assuming q is positive.\nAnswer: q**(-53\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-48)\/(-18))\/(4\/18). Let u = g + -6. Solve p = u*p + 5 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8562.377 micrometers to nanometers.\nAnswer: 8562377","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 79968 divided by 11424\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 80794611?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 37087951 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -485 (b) -0.077 (c) -5494\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2754070 and 4406512.\nAnswer: 22032560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -d**3 + d**3 - 161*d**2 - 157*d**2 + d**3 + 137*d**2 in the form c*d + x*d**2 + y*d**3 + i and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*h - 19*h + 2*h**2 - 8*h**2 - 23*h + 14*h + 2 in the form d*h + x + r*h**2 and give r.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of b**2 - 2. Let v(l) = 27*l**2 - 52*l**2 + 5*l + 26*l**2. Let x(y) = -5*k(y) + 2*v(y). Let d(j) = -2*j**2. Determine x(d(m)).\nAnswer: 8*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1331 (base 4) in base 7?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the second derivative of 0*s**3 + 0*s**2 + 0 - 1\/48*s**4 + 1\/20*s**5 - 3*s. Suppose u(t) = 0. Calculate t.\nAnswer: 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of 0*u - 4 + 1\/60*u**6 - 1\/16*u**8 + 0*u**7 + 13\/60*u**5 + 0*u**3 + 4*u**2 + 0*u**4. Find the third derivative of t(w) wrt w.\nAnswer: -1260*w**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3747 (base 10) to base 16\nAnswer: ea3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-21))**(-50)\/(g**(-36)\/(g**(-3\/14)*g)) assuming g is positive.\nAnswer: g**(15215\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 8.14, -0.5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 110984732 to the nearest integer?\nAnswer: 481","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 204644?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -405*r**5 + 5658303*r**4\/2 + 4076752*r**3 + 2270811*r**2\/2 - 125764*r - 13974 = 0.\nAnswer: -1, -1\/2, -2\/27, 2\/15, 6987","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p - 2. Suppose 10*g + 24 = 14*g. Let q(u) = -65*u + 110. Let i(j) = 3*j - 5. Let l(s) = -45*i(s) - 2*q(s). Give g*l(n) + 14*h(n).\nAnswer: -2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1292 and 578?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4*(-9)\/12 + (-4)\/1. Suppose 0 = -2*z - 4*z. Let o be z\/y - 27\/234. Is o less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80023 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: Does 31 divide 302312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*t - 96*t - 312 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -600, -596, -578, -540, -476?\nAnswer: -380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -400848*a*n**3*z**2 - 179*a*n**3 - 800*a + 2*n**3*z**3 wrt z?\nAnswer: -801696*a*n**3*z + 6*n**3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 7*t - 107. Let i be b(16). Solve 5*m - 2*d = 0, 0*m = -i*m - 2*d for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/(-2) - (-123)\/(-2)) + -1. Let w be l\/3*((-16)\/6)\/(-8). Is -46\/7 < w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jkmkmbbbbjbpkmb. Give prob of picking 1 b and 1 p.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 5:26 PM?\nAnswer: 3:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3282 - -3696. Which is bigger: w or -2\/17?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2786013484 to the nearest integer?\nAnswer: 52783","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -5, -3\/76, -116.1, -0.4?\nAnswer: -3\/76","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*g*i*j - 69238*g*i + 19*i*j + 4*i - 3*j + 166 wrt g?\nAnswer: -3*i*j - 69238*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*c**2 + 2*c**2 + c**2)*(-42*c + 150 - 55 - 99) to the form j*c + n*c**2 + h + d*c**3 and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -136.578685 take away -2.0972?\nAnswer: -134.481485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in sixty-one quarters of a century?\nAnswer: 18300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-10)\/4)\/((-3)\/2028). Let k(x) = -21*x. Let j be k(7). Let q = j + m. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 2*r - 6 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 3*q**2 - 13*q - 1. What is the remainder when 50 is divided by n(6)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/8? (a) -3 (b) -0.2 (c) 0.4 (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 14\/(-8)*2*-6682. Suppose -g = -3*v - m - 3750, 5*v - 4*m = 32751. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -227 - -230. Put 117, s, 1, 0.2 in increasing order.\nAnswer: 0.2, 1, s, 117","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a hour in seconds?\nAnswer: 12960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -28 divided by 10910\nAnswer: -14\/5455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o - 2*o + 0*o)*(17*o + 11*o - 8*o).\nAnswer: -40*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 542123 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the third derivative of n**7\/105 + 8*n**6\/5 - 107*n**5\/60 - n**3 + 286*n**2. Find the third derivative of s(y) wrt y.\nAnswer: 48*y + 1152","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 120 = 2*n. Let b = -17 - n. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q = 24 - 3. Let z(v) = -v**3 - 3*v**2 + 4*v + 3. Let m be z(-4). Solve q = m*f - 9 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11747 (base 16) to base 15\nAnswer: 162b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 532? (a) 27 (b) -2\/7 (c) -5.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5417 or -5249?\nAnswer: -5417","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*d + 12, -4 = 5*y - 5*d - 14 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21 - 23. Suppose -2*b - 4 + 10 = 0. Sort b, m, 1 in descending order.\nAnswer: b, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r = -4524 - 1659. Let o = r - 383. Let a = o + 309. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, 39, 38.\nAnswer: -4, -1, 38, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 6*z - 7. Let u be 6*((-90)\/27)\/(-10). Let r = 5 + 14. Let j(y) = 3*y - u*y + r - 20. What is b(l) - 5*j(l)?\nAnswer: l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1956750214?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0.5, 1 in ascending order.\nAnswer: -3, 0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/11, -3, 0.019, -1\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 40 = -2*n, 0 = 7*n - 4*n - 4*q - 83. Suppose -4*v + 3*v = -2*x - 1, -3*v = 5*x - n. Let p be x + (-2 + -2)\/2. Solve p = -3*r + 8 - 23 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1466928?\nAnswer: 2, 3, 61, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**3 - 8*c**2 + c + 6. Let v be x(-8). Let r = -11 - -11.1. Sort -3\/5, v, r.\nAnswer: v, -3\/5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 222212 (base 3) to base 7\nAnswer: 2054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13560841 is divided by 21767.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 PM and 3:50 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-21)*(-49)\/(-30)*2\/7.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*q = 8*q + 15. Suppose -q*a = -n - 46, 2 = 2*n - 4*n. Suppose a = -2*d - 1. Let h(s) = -s**3 - 7*s**2 + 9*s + 11. Give h(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 291950?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -1372*k**5 + 25872*k**4 - 21504*k**3 + 6080*k**2 - 576*k = 0.\nAnswer: 0, 2\/7, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21147.23 - 21285. Let s = -139 - l. Let c = s + 1.23000077. What is c rounded to 7 dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1458 and 219733074?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3, -112, -5, -0.4, 2 in descending order.\nAnswer: 5, 2, -0.4, -3, -5, -112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**3\/3 + 133*o**2 - 13200*o - 40000\/3.\nAnswer: -(o - 200)**2*(o + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - a + 10 = r, 2*a = -r + 6. Let h = 16 + -11. Suppose -2*v = -p + 16, 0 = h*p + 5*v + 1 - 6. Solve r*b + b = -p for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 + 6*n + 4. Let y(d) = -6*d**3 - d + 1. Let k be y(1). Calculate r(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -4\/5 (b) -1\/3 (c) -4 (d) 5\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-214)\/10 - 15\/25. Let i be 14\/(-77) + (-4)\/u. Solve 0 + 0*b + i*b**2 + 2\/3*b**5 + 0*b**4 - 2\/3*b**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 + -4. What is the smallest value in 2, f, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1407 - -1194.2. Round k to zero decimal places.\nAnswer: -213","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -120 (b) 17 (c) -1\/5 (d) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 27*f - 1233 - 1602. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 516 and 10.1.\nAnswer: 5211.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/8 in 1, 1\/7, 8?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2.6? (a) 8 (b) 4 (c) -10 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2611.2 rounded to the nearest ten?\nAnswer: 2610","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11515*n**2 - 1 + 1 + 11584*n**2.\nAnswer: 69*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6624199?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 26\/5 of a litre?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*t + 43 - 5*t**3 + 28 + t - t**2 to the form h*t**3 + o*t**2 + k*t + b and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 56684938 divided by 2\nAnswer: 28342469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 17 - 2. Suppose 38 + 17 = i*s. What are the prime factors of s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 5, z: 4, b: 1, r: 3, s: 3, j: 1}. What is prob of picking 1 j and 2 b?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n*(n**(-3)\/n*n)\/n))\/n**1)\/(n*n**(1\/2)*n*n*n*(n*(n\/(n*n**1))\/n)\/n) assuming n is positive.\nAnswer: sqrt(n)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 390?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34253*y + 8*y**3 - 34253*y.\nAnswer: 8*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y + 0*y + 5*y. Let m(c) = -6*c + 75. Let o(k) = -2*k + 30. Let x(i) = 2*m(i) - 5*o(i). Determine x(s(v)).\nAnswer: -12*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.014 in -5, 3, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + w - 9, -t + 3*w = w - 3. Let z be 1*-1*(-1)\/t. Determine f so that -z*f - 1\/3*f**4 + 1\/3*f**3 + 0 + 1\/3*f**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 199130457?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.176 (b) 5 (c) -24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*j + 78 = -3*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44748 = -18831567*p + 18831171*p for p.\nAnswer: 113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1\/530 + -3741\/16430. Let m = -265\/62 + o. Which is greater: -6 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 509.67*-0.3.\nAnswer: -152.901","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 257 - 256.6. Which is the nearest to 0? (a) -2\/13 (b) -0.07 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1174678 (base 10) in base 2?\nAnswer: -100011110110010010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 47?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from huuhddlll. What is prob of sequence hu?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10904583 to the nearest integer?\nAnswer: 3302","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 31986404029 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18\/((-1 - -5) + -173*(-100)\/(-4328))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (20 - (6 - -3)) + (-1 - 0) + -4\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 777570 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (30\/(-5))\/(-30) - 54\/280. Let x(o) be the third derivative of 0 + 2*o**2 + 1\/840*o**6 - 1\/42*o**3 + 0*o - l*o**5 + 1\/56*o**4. What is y in x(y) = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-28208)\/45838)\/(7\/(-13)).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 + 2 - (9 + -8))*43. Solve -t*i + 20 = -124*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5.19 times -64504\nAnswer: -334775.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1184 times 54406\nAnswer: -64416704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -69360005 less than or equal to 2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 - (1 + -2) - -2096 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 133 divide 616468?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6762 = 116764350*y - 116764419*y for y.\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/12*10\/(-1)*3484\/(-30485)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18 - -19. What is the nearest to y in -5, 1, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 7*w = 24. Suppose 2*r - 5 = 3*u - w, -5*u + 1 = r. Let n be (-2)\/(-5) - 1392\/3330. Which is bigger: n or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.012172 rounded to 3 dps?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 42\/5 of a tonne?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**2 + 15*h + 4. Let n be t(15). Solve 2*z - 2 = 3*d, n*d - 2*z + 4 = 2 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -161*y = -85*y - 684 for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 6*d - 541 = 4*j, 0 = 3*d - 2*j + 329. Which is smaller: d or -1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*p**4 - 632*p**3 + 2396*p**2 + 10712*p - 36960 = 0. What is p?\nAnswer: -4, 3, 5, 154","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 50 in 2.74, -101, -5?\nAnswer: 2.74","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -8616*p + 1555. Does 16 divide c(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24353?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - -1112202?\nAnswer: 1112202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.04 (b) -2\/11 (c) 1431\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112*n = 105*n - 63, 2*g - n - 787 = 0. Calculate the remainder when g is divided by 52.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 23 = -25. Does 12 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1940.807 grams in nanograms?\nAnswer: 1940807000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 1755*i - 10. Let h be 26\/(-91) - 32\/(-14). Let z(w) = 351*w - 2. Let c(k) = h*p(k) - 11*z(k). Is c(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 351097 = 5*r, 5*t - 70940 = -r + 221625. Does 15 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -908*j - 783789. What is x(-863)?\nAnswer: -185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 33000 + 3231?\nAnswer: 102231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/((s**(-2\/19)\/s)\/s*s))\/(((s**(-2\/7)*s)\/s)\/s)*s\/((s\/s**(2\/15))\/s)*s**6)\/((s**(-3\/4)*s*s**(2\/3)\/s)\/(s**(1\/3)*s)**6) assuming s is positive.\nAnswer: s**(148489\/7980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2032022 (base 5) in base 4?\nAnswer: 20021223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -39*f**2 - 1171380*f + 4235499.\nAnswer: -3*(f + 30039)*(13*f - 47)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -1\/3 (b) -5 (c) -8 (d) 1\/23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1211 + 1573 = 8*l - 124*l for l.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 - 15*i - 48. Let l be u(-6). Suppose -6*t + 48 = -l. Suppose 3*h = 0, -3*q + q = -3*h - 234. Calculate the highest common divisor of t and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**2 - 5*q - 2. Let t be o(-3). Let x(j) = j**2 - 16*j - 14. Let p be x(-6). Suppose t*m = 2*m + p. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 206*j - 203*j = v - 11, -3*j - 13 = v for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 17486 and -3?\nAnswer: -52458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -10*v - 2. Suppose 4*n + 4*c + 22 = n, -2*n + c = 0. Let q be d(n). Calculate the highest common factor of q and 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 10 = s, 4*i - 120 + 40 = -4*s. Solve z = -4*o - i, 3*z + 0*z - 2*o = -3 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -91 divided by -678.\nAnswer: 91\/678","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 + 3*g**2 - 4*g - 5. What is r(-4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -b**3*t - 669*b**2*t**3 + 1137*b**2*t**2 - 183346*b*t**3 + 101*t**3 wrt b.\nAnswer: -6*b*t - 1338*t**3 + 2274*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (4 - (-2 + 8))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17.28 - 0.28. Let n = b + -16. What is the nearest to 0 in -0.3, n, 0.5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -4*w**2 - 6*w + 4. Let g(r) = 3*r**2 + 6*r - 4. Let b(k) = -3*g(k) - 2*y(k). Calculate b(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 l when two letters picked without replacement from yyymtcyylyyylyk.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 55, -1\/15, -0.1, -3, -232?\nAnswer: -232","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -103242 (base 5) in base 2?\nAnswer: -110111110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from zdvhdhddzvzdydhmvdmm.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 348 divided by -174\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44394\/92169 - (7 - 2519\/363).\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -305 + -3?\nAnswer: -308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -3*t + 6. Let d be m(-13). Let z = d + -38. What is the remainder when 11 is divided by z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*j + 46*j = 209. Solve -9*n + j*n = -2*w + 6, -2*n - 6 = -4*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 734218175 to the power of 1\/3, to the nearest integer?\nAnswer: 902","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1417 is divided by 54?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -15*d - 266. Determine l(-18).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4284?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 241 and 425.\nAnswer: 102425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -398 - -406. Let k(i) = 4*i - 14. Let z(n) = -11*n + 45. Let l(f) = p*k(f) + 3*z(f). Give l(11).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -293 (base 13) in base 6?\nAnswer: -2042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a centimeter in millimeters?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-825)\/4 - -6)\/(26\/(-48)). Let j = -476444\/1287 + y. Calculate the common denominator of j and -63\/44.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 + u**2 + u + 4. Let s = -139 - -129. Let t(a) = -a**2 - 14*a - 40. Let l be t(s). Calculate g(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 greater than or equal to -528069?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (45\/2)\/(-9*70\/504)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 53 = 5*r, 8549*r = 5*z + 8544*r - 45 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 4*q**2 - 3. Let a(o) = -o**2 + 1. Let w(k) = -3*a(k) - h(k). Let n(j) = 2 - 1 - 1 + 7*j. Give n(w(f)).\nAnswer: -7*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 70865677 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -4621a (base 14) in base 16?\nAnswer: -29a30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 153\/(-340)*-10*8\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(3146)*3)\/((-3*sqrt(2) + sqrt(2))*-6*6).\nAnswer: -11*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 - w + 2. Let q be y(-2). Suppose -l + 4*s + 10 = -q*l, -3*l + 16 = -5*s. Suppose 6 = c + l. Is c at least as big as 15\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 26*p + 0*p - 22*p + 9*p + 72*p + 89. What is the tens digit of q(8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 2, -9, 5, 9, -4.\nAnswer: -16, -9, -4, 2, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -313 + 314. Suppose 12 = g + 1. Find the first derivative of -m**4 + w - 9*m**4 - g + 0 wrt m.\nAnswer: -40*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 14*z + 164. Determine y(-38).\nAnswer: -368","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 - 5*g + 4. Let i be (4 - (-22)\/4)*2. Suppose 23 + i = 7*x. What is h(x)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/27282 and -107\/1432305?\nAnswer: 2864610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**2 - 4092*j - 1395372.\nAnswer: -3*(j + 682)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + t = -5*d - 29, 5*t = -3*d - 10 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*y - y - 3*y)*(28 - 4 - 1)*(655*y**4 - y**2 + y**2 - 617*y**4).\nAnswer: 3496*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from stmhhmu. Give prob of sequence mh.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14091040 and 89830380?\nAnswer: 718643040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.005909474034 rounded to 3 decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1\/(-2))\/((-2)\/4))\/((-52)\/572)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1155601290?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of -h**4\/12 + 5*h**3\/6 + h**2\/2 + 2*h. Suppose -8*c + 4 + 28 = 0. Does 3 divide j(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 187 - 209. Let o = 414 - 418. Sort -1, -3, o, a in increasing order.\nAnswer: a, o, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-18)\/4*2\/(-3). Suppose -j*k - 2*k = -15. Suppose -30 + 0 = -k*a. List the prime factors of a.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11\/9 - -8\/9. Let u be 2*(9\/24)\/(-3). Let f = -5 - -4.7. Which is the second smallest value? (a) z (b) f (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/64 and -17947 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 3 - 3 + (5 + 3 - 10)*(-5 - 1 - 1))*(2*g**4 - 3*g**2 + 3*g**2) as w + k*g + c*g**3 + x*g**4 + v*g**2 and give x.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 678055 is divided by 30.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are 7848 and 0.5 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-776)\/(-2716)*14\/(-35)?\nAnswer: -4\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1346, -1352, -1356, -1358, -1358, -1356, -1352?\n\"Answer: s**2 - 9*s - 1338","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the second derivative of -1\/4*m**5 + 0 + 1\/2*m**2 + 0*m**3 + 0*m**4 + 7*m. Differentiate q(s) with respect to s.\nAnswer: -15*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -112003 + -1121?\nAnswer: -113130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -0.2, -32, -8, -10?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -92986, -93016, -93054, -93106, -93178, -93276, -93406?\nAnswer: -93574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -41, 0.02, 0, 2\/5, -0.1, 2?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 27*q**2 - 4*q - 3. Calculate h(-1).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 3533 = -633. Suppose -9 + g = 3*n + 4*s, -s + 933 = 4*n. Calculate the greatest common factor of 58 and n.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30 is divided by 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 2*a + 4 = 4*a, 5*a = -3*o + 2. Let b(d) = -d**3 + d**2. Let k(c) = -6*c**3 + 12*c**2. Calculate o*k(h) + 12*b(h).\nAnswer: -6*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-30)\/(-45) - (-32)\/(-30))\/(14 + -15). Which is the closest to 2? (a) 2\/3 (b) p (c) -2 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**2 + 2*k - 5. Let s be f(4). Let p be (12\/(-8))\/(1\/(704\/(-6))). Let n = -155 + p. Is s greater than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, -4, 94 in decreasing order.\nAnswer: 94, -4, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(21)*-2)\/sqrt(7) + 1 + -4.\nAnswer: -2*sqrt(3) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p - 2*p - 2*p)*(6 + 0 + 3)*(-2 + 5 - 4).\nAnswer: 36*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -2461*n - 56627. Determine p(-23).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 7, c: 4}. Give prob of picking 1 a and 1 c.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30872*t + 1 + 4 - 15396*t - 7 - 15427*t.\nAnswer: 49*t - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 9757 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.8754 to 2 dps.\nAnswer: 4.88","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4*1 + -2 - 0. Suppose -k = -0*k + 4. Let u be -1*(1 + (k - 0) + 7). Sort 1, a, u in decreasing order.\nAnswer: a, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3 or 7\/3?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**2 - 2*p + 774. Determine n(-29).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {j: 2, t: 18}.\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -45725071*k**4 - 3*k**2 - 201957065 wrt k.\nAnswer: -182900284*k**3 - 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes after 4:22 PM?\nAnswer: 9:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -13*p**3 - 6*p**2 + 6*p - 6. Let b(d) be the second derivative of -7*d**5\/10 - 5*d**4\/12 + 5*d**3\/6 - 5*d**2\/2 - 5*d + 27. What is -6*b(r) + 5*z(r)?\nAnswer: 19*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4 - -1) + (-5 - -3). Let b be v - (-1 + 0 + 2). Let l be (-2)\/(-4) + 49\/b. Solve -5*d - 2*n + 5*n = l, 4*n - 25 = 5*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 38, 5, -2, -3, 0 in decreasing order.\nAnswer: 38, 5, 0, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, 3, -36762, -7 in decreasing order.\nAnswer: 4, 3, -1, -7, -36762","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5924.746 micrograms to kilograms.\nAnswer: 0.000005924746","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.7 + 0.9. Let d = -3 - -2.8. Let m = j + d. What is the second biggest value in m, 0.4, -5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 5171, 2859, 0.5, -1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1014?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 2.5. Let w = 2143.8 + -2144. Which is the closest to w? (a) -1\/3 (b) -0.1 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48.93286km in meters?\nAnswer: 48932.86","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-126) + 83\/(-21) + 4.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:48 PM and 9:50 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -167*h + 2 - 232*h**2 + 177*h - 579*h**2.\nAnswer: -811*h**2 + 10*h + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-56)\/(-4)*(-8)\/(-28)*1. Solve 12 = u - j*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 61616491\/122 + -505054. Let d = 71663\/8072 + -3\/1009. Find the common denominator of a and d.\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-5))**23*v\/v**(19\/2)*v**(2\/13)\/v assuming v is positive.\nAnswer: v**(-3233\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1061 + -1063. Let l = 4 + -2. Does 21 divide -6 + l - (-48 + a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4219715 to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (-72)\/(15 - 27) + 51429?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.0741 rounded to 1 dp?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times 1273?\nAnswer: -254.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -11 - 2436\nAnswer: -2447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -791506.5 to the nearest ten thousand.\nAnswer: -790000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -2*f**2 + 10. Suppose 5 = -v, -t + 3*t - 4*v - 14 = 0. Let a(i) = i - 2. Let d(z) = t*a(z) - m(z). Give d(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6908.0065025 - 6908. Round o to three dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 7228, -4, 368 in descending order.\nAnswer: 7228, 368, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 53*u + 789. Let l(n) = 22*n. Give d(v) - 2*l(v).\nAnswer: 9*v + 789","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*f - 18 = -36*f. Solve -3*g + 2*x = -f*g - 12, -20 = 5*g - 2*x for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 4*a**2 + 279*a + 1. Let o(r) be the third derivative of r**4\/24 - r**2 - 146*r - 1. Determine o(k(l)).\nAnswer: 4*l**2 + 279*l + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of -9*y**3 + 183*y**2\/2 + 42*y + 16. Factor b(a).\nAnswer: -3*(a - 7)*(9*a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 0 + 3*(sqrt(45) - sqrt(5)) + (sqrt(125)*-2)**2 + sqrt(20)\/sqrt(4)*-5.\nAnswer: sqrt(5) + 498","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 3*a - 2. Let b(l) = 28*l + 7. Calculate -b(m) + s(m).\nAnswer: -25*m - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2921 is divided by 931.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1206449446, 1206449445, 1206449444, 1206449443, 1206449442?\n\"Answer: -d + 1206449447","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 21853 to the power of 1\/2, to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -2*k + 4*k. Let r = -62.7 - -76. Let l = 9.3 - r. Which is the closest to 1\/3? (a) 2\/9 (b) k (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 180 - 182 = -3*p, -2*j - 3*p = -14 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 24759, 24727, 24681, 24615, 24523, 24399, 24237?\n\"Answer: -w**3 - w**2 - 22*w + 24783","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 136, -364, -1198, -2366?\nAnswer: -3868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 239.079 - -1593?\nAnswer: 1832.079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 1 - 4)*(-17*i + 2 - 1 - 5*i)*(7 - 3 - 3) to the form u*i + l and give u.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 136 less than or equal to -10487?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/(-12))\/((24\/(-180))\/((-1)\/(-10)))\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1*-2*(-5)\/(-1). Suppose 2543*c = 2567*c - 96. Calculate the highest common divisor of c and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 26 or 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 70.7 to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k + 8 = 14*k. Suppose 0 = -4*s + 3*q + k*q + 4832, -4*q = s - 1229. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (11\/2)\/(17\/34).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/225)\/((-7)\/((-175)\/(-20))).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 4 = 2*a, 5*y + 0*a = a - 16. Let i(u) = 3*u + 24. Let p be i(y). Solve -4*o = 3*q + p, q = 4*o + 4 + 8 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 4*a. Let j be t(1). Suppose -v = j*g - 117, 2*g - 7*v + 3*v - 36 = 0. Suppose 0 = l - 0*l - g. Does 21 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.94 + -0.06. Let v = 2 + p. Let z = v + 3. What is the smallest value in -0.5, z, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -v + 13, -4*c + 38 = -0*v + 3*v. Let d(r) = -r**2 + 27*r - 19. Is d(v) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 864*y + 179711. Give n(-208).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the second derivative of a**3\/2 - 12*a**2 + 7*a. Differentiate p(r) wrt r.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/90 and 133\/2095452?\nAnswer: 10477260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - b - 7*b**3 + 10*b**3 - 23.\nAnswer: 3*b**3 - b - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -227*z**2 - 33*z**3 + 228*z**2 + z - 230*z**3 in the form n*z + w + t*z**2 + x*z**3 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 523819?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 258 and 15340164.\nAnswer: 15340164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 2*s + 10, -i + 4*s - 17 = 0. Suppose 4*y = i*y + 85. Calculate the highest common divisor of y and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*o - 48 = 9*o. Suppose -3*z + o = z. Does 4 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1081656237 divided by -7895301?\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.05480585 and -2.\nAnswer: -2.05480585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 24 - 16. Let c = w + -3. Suppose 4*u = -c*r + 1061, 3*u - u + 410 = 2*r. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 969*r + 2195. Is q(8) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -51 - -42. What is the remainder when q\/3*(-220)\/15 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -23 + -15 + 25 - -2?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13.2 + -13.6. What is the nearest to 0.2 in -1\/5, b, -5, 7?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - 4. Let t = 0.613 + -0.043. Let s = -1.07 + t. Which is the smallest value? (a) -1 (b) s (c) -0.1 (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -14021, -30315, -46609?\n\"Answer: -16294*d + 2273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k + 8. Let a be u(-6). Suppose -5 = -l - 5*j - a, 3*l = 5*j + 9. Suppose 0 = -3*d + r + 36, -r = -d - l*r + 19. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/(-32)*((-140)\/(-75))\/(-7))\/((-32)\/224)?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 15 = -l + 2*l, 4*b - 20 = 0. Let p be -4 + 2 - l\/(-1). Suppose n + 1 = -p. Is n bigger than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*h - 5*s + 58, 4*h + 2*s = -1825 + 1851 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 + 10*d**2 + 14*d + 20. Let x be 3\/(-6)*(6 - 0). Let b be ((2 + x)*-9)\/1. What is the tens digit of l(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 184 = 160, 4*f - 732 = 4*l. Suppose -2*w = -7*w + 20. Suppose 5*y - 3*u = f, -w = u - 0. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppik when four letters picked without replacement from {p: 6, z: 6, i: 3, k: 3}.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -4890 (base 10) to base 8\nAnswer: -11432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 3\/13, 1.1, -5, 2\/7, -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2063 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 3*p - 109, 5*p - 75 - 101 = -4*o. Let a = -21 + p. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (912\/9728)\/(58\/(-8)). Is -1 less than or equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (6 + -2 - 14)*(-70353)\/18 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -12*k + 1. Let d be (-5)\/(((-10)\/(-8))\/(-5)). Suppose -p - 7 + d = 0. Calculate the remainder when g(-3) is divided by p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*(z**(-1\/3)*z)\/z)**44)**(3\/44)*((z**(-6)*z)\/(z**(-1)\/z))\/(z**3*z*z**(-3\/4)*z*z) assuming z is positive.\nAnswer: z**(-25\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -84, -305, -668, -1167, -1796, -2549, -3420, -4403?\n\"Answer: u**3 - 77*u**2 + 3*u - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 - 1) + -5 + 3 + 7. Let c(g) be the first derivative of 0*g**3 + g - 3 + 0*g**h + 0*g**2 - 3\/5*g**5. Differentiate c(z) with respect to z.\nAnswer: -12*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -47 + 78 + (-9 - 31) + -2 + -11\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 361*k**3 + 4*k**2 - 12*k + 2529. Let r(n) = 361*n**3 + 2*n**2 - 8*n + 2528. Let s(w) = 2*o(w) - 3*r(w). Differentiate s(z) wrt z.\nAnswer: -1083*z**2 + 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 49395, 99886, 150377, 200868?\n\"Answer: 50491*t - 1096","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 + 23*l - 25. Let z be s(-24). What is the tens digit of z + 5\/(25\/645)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*k - 60 = 8*k - 5*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-3 - (-3476)\/8)\/(23\/46).\nAnswer: 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(21\/2)\/((x\/x**(-1\/5))\/x))**2 assuming x is positive.\nAnswer: x**(103\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.931966t in milligrams?\nAnswer: 1931966000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 144 + -226. Let v = -55 - l. Suppose -5*b = -2*b - v. Solve -4*o = -20, 4*h + 5*o = 4*o + b for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4415 + 4415.3. Which is the third biggest value? (a) -0.5 (b) 1 (c) -5.2 (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 18 in 22, -8\/9, -1?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r**2\/4 - 139695*r\/4 + 34925 = 0 for r.\nAnswer: -27940, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-126)\/(-294) + 4\/56. Let l(c) = 3*c**2 + c. Let m be l(2). Is m equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -4, 10, -2 in descending order.\nAnswer: 10, -2, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -1408*o**2. Let p(u) = -11*u**2. What is w(p(t))?\nAnswer: -170368*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -128 - -113. What is the least common multiple of ((-4)\/(-10))\/(2 - (-24)\/z) and ((-1*3)\/(-3))\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 912?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one quarter of a week?\nAnswer: 2520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 15*x**2 + 4079 - 115*x**2 + 8*x**2 - 4079. Let p(b) = 3*b**2 - 3*b. What is p(o(t))?\nAnswer: 25392*t**4 + 276*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*v**2 - 70*v**2 + 245*v**2 - 92*v**2 - 53*v**2.\nAnswer: -20*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 559 - 791. Let l = -165 - t. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3880 + 3833 + 2*l - 7757 - 365*l**3 wrt l?\nAnswer: -2190*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2105598 and 469029?\nAnswer: 2013","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 200330531 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3040*j**3 + 6 - 1548*j**3 - 6 + 71*j - 88*j - 1489*j**3.\nAnswer: 3*j**3 - 17*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 minus 12.167799839785?\nAnswer: -15.167799839785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m*m*m*(m\/(m*m**1))\/m)\/m)\/m**7*(m**6*m)\/(m*m**(-2\/9)))**(3\/29))**(-14) assuming m is positive.\nAnswer: m**(98\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(((-4)\/(-10))\/(30\/(-25))).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 PM and 10:34 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.03201*-487.\nAnswer: 15.58887","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 200 (base 3) to base 5\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 c when two letters picked without replacement from wwcwawkgw?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 0.21 (b) 1 (c) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 25*w**2 + 13*w**2 - 21*w**6 - 14*w**2 wrt w.\nAnswer: -2520*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -2*t + 25. Let n(w) be the third derivative of -w**4\/24 + 13*w**3\/3 - 17*w**2. Let i(p) = -4*c(p) + 5*n(p). What is the derivative of i(f) wrt f?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*p**2\/5 - 5832*p - 14171760 = 0. Calculate p.\nAnswer: -4860","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**2 + 14*o + 18. Let q be a(-13). Let l(j) = 5*j + 3. Calculate l(q).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 826 - 2700. Suppose 8*y = 11*y - 3*i + 3, 3*y - 4*i = -7. Is (3\/(-2))\/y*v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 198\/(-33)*(-9)\/(-189)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 0 - 4\/9*w**2 + 4\/9*w**4 + 4\/9*w**3 - 4\/9*w = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 757086 and 109494.\nAnswer: 1256005674","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 2*p - 0*p. Suppose 3*m = p*m + 8. Let h = 6 + m. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 13\/5 of a second?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 191238027 is divided by 911?\nAnswer: 907","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(j\/(j*j**(-8\/5)))*j)\/(((j*j**(2\/3))\/j)\/j))\/((j\/(j\/j**(-2\/15)))\/(j**(2\/3)\/j*j)))\/(j**3*j*j**(2\/43))**(-1\/11) assuming j is positive.\nAnswer: j**(13489\/7095)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 38 - -829\nAnswer: 867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 45*m + 424. Let l be n(-9). Solve 9 = 5*x + 4*c, -2*x = l*c - 18*c - 6 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.37 + 6.63. What is the closest to h in 3, -1\/4, -2\/13?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/6)\/(-22 - (6 - 23) - (-2465)\/495).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 25276.41 and 5.\nAnswer: 126382.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmzzmzmzkzzmz. What is prob of picking 1 k and 3 m?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -163*x**2 - 219*x**2 - 93*x**2 - 2*x + 108*x**2.\nAnswer: -367*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*p + 12*p**5 - 18*p)*(4 - 5 + 3) - p**5 - 4*p**5 + 4*p**5 + (-2*p**2 - 2*p + 2*p)*(2*p**3 - 2*p**3 + p**3).\nAnswer: 21*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 387, 484, 659, 924, 1291?\nAnswer: 1772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16758, -33457, -50156?\nAnswer: -66855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 + 11*b**2 - 35*b - 29. Let h be o(-25). Let q = h + 260858\/33. Calculate the common denominator of q and -64\/3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 31 by 190.\nAnswer: 31\/190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13250 is divided by 1104.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*y - 490 = -37*y + 700. Suppose 2*i - 4*g = 3*i - 20, -g = -3*i + 8. What is the remainder when y is divided by i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ptt when three letters picked without replacement from tutuwywdtuttuwpdd?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/(-14)*(50\/125)\/(1\/(-25))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 - 3*(5 + -4). Let t(m) = 2*m**3 + 11*m**2 - 9*m - 6. Let r be t(b). Solve -3*d + d = -z + r, -5*d = z + 16 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5998.5 rounded to the nearest 100?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/((q**(-4\/13)\/q)\/q))**26)**(-39) assuming q is positive.\nAnswer: q**(-3354)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 31180968 a multiple of 182?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of w**4 + 51*w**2 + 3361 wrt w.\nAnswer: 4*w**3 + 102*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -2*b**4 - 1000578*b**3 - 3001720*b**2 - 2001144*b = 0?\nAnswer: -500286, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(27))**2 + -3).\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the third derivative of j**6\/120 + j**5\/60 - j**4\/24 - 6*j**3 + 214*j**2. Calculate b(0).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 756*w - 53187 = -267*w - 3*o, 4*w - 5*o - 223 = 0 for w.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 + 3*k**4 + 6\/5*k + 3\/5*k**2 - 24\/5*k**3 = 0. Calculate k.\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -2*y + 5. Let g(h) be the third derivative of h**4\/24 - h**3\/3 - 3*h**2. Let i(s) = 11*g(s) + 6*w(s). List the prime factors of i(-6).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 37391?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 36 = -12. Suppose -3*s + b = -6. What are the prime factors of (-4)\/2 + s + -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5078?\nAnswer: 2, 2539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.8205*2581.\nAnswer: -9860.7105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 1177?\nAnswer: -1179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1778 and 46202.\nAnswer: -82147156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -65*k. Let v(s) be the second derivative of s**5\/60 - 22*s**2 + 7*s + 2. Let o(u) be the first derivative of v(u). Calculate m(o(z)).\nAnswer: -65*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -444, -418, -392, -366, -340?\nAnswer: -314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 + 8*m + 3. Let f be o(-6). Let k = f + 13. Is 4 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42 = 9*z + 5*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-1\/33)*c**20\/c assuming c is positive.\nAnswer: c**(626\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4432649 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (13114\/6 - 2) + 18\/54?\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + 12. Let p = j - 19. Let l = 9.6 + p. Put -0.5, 1, l in decreasing order.\nAnswer: 1, l, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.43 - -22.43. Let a = -21.9 + y. What is a rounded to 2 dps?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1315.88 take away 2.6428?\nAnswer: 1313.2372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 + a)*(-56 + 218 + 253 + 130) to f*a + x and give f.\nAnswer: 545","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l - 1 = -5*l. Let n be l - 1*(-1 - 0). Suppose w + n = 3. Solve 4*t - 9 = -q, -7*q - 4*t = -w*q - 24 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -114, -2, 1 in descending order.\nAnswer: 2, 1, -2, -114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/(l\/l**(-1))))**(4\/9)*l**(4\/9)*l*l*l**0)**(1\/82) assuming l is positive.\nAnswer: l**(5\/123)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -3*n + 0*n - 2*n. Let s(g) = -16*g**2 + 8*g**2 + g**2 + 9*g**2. Give k(s(l)).\nAnswer: -10*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i\/((i\/i**(-1\/9))\/i)*i)\/(i*i\/(i\/(i**(-7)\/i))*i*i))**45*((i\/(i\/i**(2\/41))*i*i)\/i**(-1))**24 assuming i is positive.\nAnswer: i**(17555\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1040\/707 - -172052\/3535. Solve 476\/5*h + z + 8\/5*h**2 = 0 for h.\nAnswer: -59, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22 - 16 + 4)*(-s**3 + 0*s + 0*s).\nAnswer: 34*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3057 is divided by 2812.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + 1. Is 822\/14 + (2\/7)\/a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 159121?\nAnswer: 41, 3881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.13 and 363171?\nAnswer: 47212.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 167391378 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -76165 divided by -5\nAnswer: 15233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3 from -2248529449790.\nAnswer: -2248529449793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 139*u - 5581*b - 73 = 157*u - 5582*b, 2*u + 3*b = -5 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 (base 2) in base 16?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*j**5 - 92*j**4 + 316*j**3 + 376*j**2 + 16*j - 32 = 0. Calculate j.\nAnswer: -2, -1, -2\/5, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -1526*t + 40. Let w(b) = 763*b - 17. Give 2*u(h) + 5*w(h).\nAnswer: 763*h - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*j - 3. Let d be 2\/j + 72\/54. Suppose -2*m = m. Sort m, 1, d in increasing order.\nAnswer: m, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 + -55388639668555\nAnswer: -55388639668555.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hg when two letters picked without replacement from {h: 1, w: 1, r: 1, c: 1, g: 1, n: 2}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3232648, 3232649, 3232650, 3232651, 3232652?\n\"Answer: o + 3232647","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/9*(-7962)\/(-3450200).\nAnswer: 1\/130","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1351601 divided by -10.\nAnswer: -1351601\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5846 and 3219?\nAnswer: 508602","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1649177311 to the power of 1\/2, to the nearest integer?\nAnswer: 40610","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the second derivative of 3\/10*g**5 + 0 + 27*g - 1\/12*g**4 + 0*g**2 + 0*g**3. What is x(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33 is divided by (-72)\/(-4) + -2 + 1?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 + 25 - 40 + 9*n**2.\nAnswer: 9*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1361686729 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/6 - (-13680008)\/24. What is l rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 7 (b) 1\/4 (c) 3 (d) -116 (e) -0.1 (f) -4 (g) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16 + -14. Let o = n + -4. Let i = 201\/208 - 13\/16. Is i greater than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1, -7161, -4, 22 in decreasing order.\nAnswer: 22, 0, -1, -4, -7161","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 greater than or equal to 23481\/503?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/10715? (a) -43 (b) -4 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the third derivative of r**7\/105 - 67*r**6\/120 + 26*r**4\/3 + 2*r**2 + 186*r. What is the second derivative of a(b) wrt b?\nAnswer: 24*b**2 - 402*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -n - n + 2*n - 19*n**2 + 3*n**3 - 5*n in the form v*n**3 + i + t*n + f*n**2 and give f.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3609*u = -3620*u + 374. Calculate the highest common divisor of 119 and u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8.9 + 8.89999913. What is a rounded to 7 dps?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/10 and -107\/139010.\nAnswer: 139010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -4*o - 3 + 0 + 0*o**2 - 3*o**2 + o**2. Let s = -12 + 22. Suppose -2*q - s = 3*q. Calculate w(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 540647.5ug?\nAnswer: 0.0000005406475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2072 divided by 1?\nAnswer: 2072","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, a: 1, g: 4, u: 1, r: 7, y: 3}. What is prob of picking 2 g?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**4\/2 - 6*g**3 - 9*g**2\/2.\nAnswer: -3*g**2*(g + 1)*(g + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 10. Suppose -3*a - 13 + 13 = 2*a. Suppose 0 = c - 23 + 15. Solve a = 5*w + h + c for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-1 + -3 + -30)*(-1)\/(-56) and -121\/12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -2*u**3 + 2*u**2 - 3*u + 2. Let t be s(2). Let m = -15 - -17. Let c be m*(t\/(-8) + -1). Calculate the highest common factor of c and 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 186*m + 165*m + 2459 + 3157 for m.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 14 + 26*v - 20.\nAnswer: 26*v + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 - 167*p**2 + 158*p - 1782. Give h(-168).\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m + 1. Let o(c) = -19*c - 9. Let v = -37 - -19. Let d(s) = v*q(s) + 2*o(s). Differentiate d(l) wrt l.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*p = 5*s + 259, -p + 42*s + 13 = 43*s. Calculate the remainder when 2030 is divided by p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-6)\/((c**(-5)*c)\/c*c))**(-2\/11)\/((((c*c*c*c*(c\/(c\/(c\/(c**(-1)*c*c))))\/c*c*c*c*c*c)\/c)\/c)**(2\/43))**(-2\/5) assuming c is positive.\nAnswer: c**(1124\/2365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 546 - 544. Suppose 0 = -k*b - 88 + 20. Suppose -4*c = -c - 6. Sort b, c, 0 in ascending order.\nAnswer: b, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/(-12))\/((-1)\/(-6)*-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -55361406 divided by 853\nAnswer: -64902","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 3:48 PM?\nAnswer: 6:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26 - 26 + 67)*(4*u + 0*u - 6*u).\nAnswer: -30*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -10*b**3 + 7*b - 44. Let m(s) = -31*s**3 + 23*s - 132. Calculate 3*m(q) - 10*n(q).\nAnswer: 7*q**3 - q + 44","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12, 41, 72, 105, 140, 177, 216?\nAnswer: 257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of -u - 10. Let r(x) = -2*x + 7. Calculate 4*l(w) + r(w).\nAnswer: -2*w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11*r + 3*r + 32 - r)*(-3 + 5 - 1)*(-2 + 1 + 3)*(1 - 6 + 4) to the form l + i*r and give i.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*f - 2*f + 3*f + (-3*f - 3*f + 5*f)*(2 - 2 + 2).\nAnswer: 6*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -4 + 180\/120?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, -282 in ascending order.\nAnswer: -282, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n = -293 - 85. Suppose -8*q - 8 = -6*q. Is n\/q*(-64)\/12 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3924*u - 3791*u - 266 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*b - 45 + 45)*(5 - 5 - 3)*(2 - 2*b - 2).\nAnswer: 54*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the first derivative of -14 + 2*l - 1\/4*l**4 + l**3 - 1\/5*l**5 + 5\/2*l**2. Determine k, given that j(k) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7136.9331 + 0.0669. Let o = -7137.10643 + r. Let h = o - -0.1005. Round h to 4 decimal places.\nAnswer: -0.0059","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27 - (-31 - 11 - -12)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 142238 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2280754*f - 2280750*f + 4 - 2280752*f - 2280752*f - 4 + 9123018*f.\nAnswer: 10*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.36 + -0.14. Let o = 18 - 73\/4. Which is the nearest to o? (a) -0.3 (b) n (c) -2\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 482.3 and 0.4?\nAnswer: 481.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 705 and 3415443.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the third derivative of -n**4\/12 + 37*n**2. Let m(h) = 5*h - 12 + 4 + 8. Determine v(m(l)).\nAnswer: -10*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Do -1570276 and 39 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(-5)\/j)\/j)\/j)\/(j*j**(-28))*(j\/(j*j**23*j*j))**(10\/7) assuming j is positive.\nAnswer: j**(-117\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/144 and -163\/234.\nAnswer: 1872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -72, 0.5, 1?\nAnswer: -72","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**40*g*g*g\/(g\/(g\/(g*((g**(-3\/17)*g)\/g*g)\/g))*g)*((g*g*g*g**(-41))\/g)\/(g**(-39)\/g) assuming g is positive.\nAnswer: g**(717\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s + 4*s - 3*s.\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -119841 (base 11) to base 14\nAnswer: -4ca96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -322 + 3213\/10. Let w = -1007\/6 + 512\/3. What is the common denominator of u and w?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*q - 7772 = -76*q + 6*q. Calculate the greatest common factor of q and 1450.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (169\/(-13))\/(-26)*12\/(-21).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((12\/12)\/(-6))\/(2\/(-1))?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5 - (-35)\/((-385)\/(-528)). Solve -f*h + 5*t = -48*h + 5, -h + 4*t = -11 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 6, n: 3, s: 1, l: 1, a: 2}. Give prob of picking 1 l and 3 n.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of 0 - 2\/21*f**7 - 46*f - 1\/56*f**8 + 9\/4*f**4 + 1\/2*f**2 + 0*f**6 + 0*f**3 + 0*f**5. Find the third derivative of x(k) wrt k.\nAnswer: -120*k**3 - 240*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -0.1, 1\/6, -2 in increasing order.\nAnswer: -2, -0.1, 0, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -16 - 2823?\nAnswer: -2839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 - -6557\nAnswer: 6557.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5571985*f**4 - 17188964*f wrt f?\nAnswer: -66863820*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of 18 + 0*b**4 + 0*b**2 + 0*b**5 + 0*b - b**6 + 1\/3*b**3. Find the third derivative of f(a) wrt a.\nAnswer: -360*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1887359.\nAnswer: 1887359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 9*u - 5. Let t(b) = 4*b - 2. What is -2*j(q) + 5*t(q)?\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1634, 5003, 8396, 11825, 15302, 18839?\n\"Answer: 2*s**3 + 3355*s - 1723","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -2 + 7 - -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6593*c**3*y**2 + 1157*c**3 - 4*c**2*y wrt y.\nAnswer: 13186*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 38 = 53. What is the units digit of (240\/3)\/(5\/u)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 - 41560560.\nAnswer: -41560565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -177, -355, -533, -711, -889, -1067?\nAnswer: -1245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 4:45 AM?\nAnswer: 4:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or -6213812?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (((-104)\/8)\/26)\/(1\/12)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) 8\/33 (c) -3\/23 (d) -2 (e) 4 (f) 0.2 (g) 0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 n when two letters picked without replacement from {n: 2, v: 10}?\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - -1)*(2 - 1). Suppose -3*y + 0*y + 12 = z. Suppose o = 2*c + 6 + y, -4*o - 8 = 4*c. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 3:44 PM?\nAnswer: 7:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -34001 (base 5) in base 9?\nAnswer: -3230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -2*h. Let r(d) = -d**2 + 1. Let w(j) be the second derivative of 11*j**4\/12 - 3*j**2 + 4*j. Let a(l) = 6*r(l) + w(l). What is a(b(z))?\nAnswer: 20*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 31*d + 1171. Give h(-35).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3712 is divided by 268.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-v**2 + 3*v**2 + 332*v + 31*v - 2)*((2*v + 0*v + 0*v)*(4 - 4 + 3) + 2 + v - 2 + 2*v - 5*v - 3*v) to q*v**2 + i*v**3 + s*v + g and give q.\nAnswer: 363","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*p**2 - 439424 + 439424 + 22*p**3 - p as y*p**3 + l*p**2 + w + k*p and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 2*s**3 + 198*s**2 - 1520*s - 3816 = 0.\nAnswer: -106, -2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 - (10 - 5) - -11. What is the highest common factor of 92 and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-795 + 795 + 1459*u**2)*(2 + 1 - 4)*(-u - 3*u + 3*u).\nAnswer: 1459*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -39, -53, -49, -15, 61, 191?\n\"Answer: 2*w**3 - 3*w**2 - 19*w - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in -0.1, 68, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8915818 is divided by 40343?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/3)\/(2\/6). Let s = c + -2. Suppose s = -5*y - 0 + 25. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*c**5 + 5*c**4*r - 2245999*c**3 - 585*c**2*r - 4*c**2 - c*r - 25*r + 3 wrt c.\nAnswer: -120*c**2 + 120*c*r - 13475994","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 + 5*g**2 - 4*g - 1. Suppose m = 2*m - 3. Calculate the remainder when x(m) is divided by ((-8)\/52 - (-985)\/65) + 0.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3773 rounded to 3 dps?\nAnswer: 0.377","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the third derivative of -1\/380*w**6 + 7*w**2 + 1\/57*w**4 + 0*w - 1\/1995*w**7 + 0 + 0*w**3 + 0*w**5. Factor n(s).\nAnswer: -2*s*(s - 1)*(s + 2)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3261031537?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -5 + sqrt(112) + (sqrt(112) - ((sqrt(112) - (sqrt(112) + (sqrt(112) - (2 + sqrt(112))))) + sqrt(112))) + 5)**2*4*3.\nAnswer: -192*sqrt(7) + 1392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 176497?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -2*p - 9. Let g be j(-3). Let u(b) = -b**3 + 3*b**2 + 2*b - 7. What are the prime factors of u(g)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vfflivivlilf. Give prob of sequence lv.\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -6 (b) 1 (c) 4.7 (d) 1\/6 (e) -5 (f) 18\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 9*d**3 + 74*d**2 - 55*d - 11. Let i(q) = 4*q**3 + 34*q**2 - 27*q - 5. Give 13*i(f) - 6*k(f).\nAnswer: -2*f**3 - 2*f**2 - 21*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*i + 10*i - 1676880 = 0. What is the units digit of i\/56 - (-4)\/(-56)*-4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 63, -0.6, -216\/7.\nAnswer: -216\/7, -0.6, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3023 and 142344001?\nAnswer: 3023","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 444023?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(-3) + 3 + 50\/(-15). Factor -2\/5*d**2 + 0*d - 2\/5*d**4 + q - 4\/5*d**3.\nAnswer: -2*d**2*(d + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*m + 5*n + 3, -n = 4*n - 5 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6231669 is divided by 3115832?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13932497 is divided by 699?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 1014\/5 + 2\/15*u**5 + 1732\/3*u**2 + 598*u + 172*u**3 - 10*u**4 = 0?\nAnswer: -1, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - 2\/(-6))*9\/30. Put r, -5, 2\/3, -0.06 in increasing order.\nAnswer: -5, r, -0.06, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -487, -28, 5, 19.\nAnswer: -487, -28, 5, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 10756, 67 in descending order.\nAnswer: 10756, 67, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 0. Let y be 10\/f*(-6)\/5. Let o(w) = -w**2 - 1. Let l(t) = t**2 + 1. Determine y*o(i) + 2*l(i).\nAnswer: -i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -4198*c - 202. Let t be q(31). Let b = t + 240340. Round b to the nearest ten thousand.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/2 - (-14)\/4. Suppose -16*i + 108 - 44 = 0. Let w = 18 - 13. Solve 0*g + i*c = 2*g, w*g + o*c - 14 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of -r**5\/20 - 5*r**4\/6 - 7*r**3\/3 - 19*r**2\/2 - 3*r. Is 3 a factor of w(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/8, 2\/13, -0.2 in descending order.\nAnswer: 2\/13, 1\/8, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -56\/297? (a) 17 (b) -5 (c) -0.2 (d) 2 (e) 33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -7*q**2 + q. Let z(p) = -25*p**2 + 3*p. Let d(h) = 3*j(h) - z(h). Let y(k) = 54*k + 3. Determine d(y(m)).\nAnswer: 11664*m**2 + 1296*m + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 705\/20 - 4 - (121\/(-44) - -2). What is the highest common factor of 28192 and g?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58 + 8 = 6*z, q = -53*z + 49*z + 43 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.09, -0.52, 27\/20?\nAnswer: -0.52","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 2*r - 56 = 0, 5*r + 16 = 2*d - 4. Is d a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 5*w**3 + 18*w**2 - 36*w + 32. Let t(f) = -3*f**3 - 12*f**2 + 24*f - 21. Let n(q) = -8*t(q) - 5*v(q). Suppose n(g) = 0. Calculate g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 8\/7 (b) -0.1898 (c) 0.4 (d) -2\/7 (e) 2\/41 (f) -1\/3 (g) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 1, -1, 0.026, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/(-14)*-11 - (-1)\/2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 + 5*r + 18 - 7 + 6*r**2 - 9. Give g(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4511?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 448 and 112.\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -234*p + 245*p = 77 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4898383 and 20237.\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1139833417 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 5, f: 2, l: 3, c: 4, s: 5}. Give prob of sequence zlz.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*u + 14, 0 = 2*a - u - 121. Suppose -3*w - a = -5*w + 2*b, 2*w + 4*b - 46 = 0. Factor -w*f - 65*f**2 - 43*f**4 + 130*f**3 - 3*f + 8*f**4.\nAnswer: -5*f*(f - 3)*(f - 1)*(7*f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r - 6 + 6 + 2*r - 5*r + 2*r + (2*r - 3 + 3)*(4 + 2 - 4) - 2*r + r + 2*r - 3*r + r + 3*r.\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a microgram in nanograms?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 12.58 and -7.\nAnswer: -88.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.82483mg in tonnes?\nAnswer: 0.00000001982483","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 148 + -116.78. Let o = n - 31. Is o at most -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 89923, 91276, 93537, 96712, 100807, 105828, 111781, 118672?\nAnswer: 126507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 362, 719, 1066, 1397, 1706, 1987, 2234, 2441?\nAnswer: 2602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1223070783 to the power of 1\/2, to the nearest integer?\nAnswer: 34972","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10100 + -1010000110110?\nAnswer: -1010001001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*l**4 - l**4 + 2*l**4 + (-3*l**2 - 3*l**2 + 4*l**2)*(-3*l**2 - 3*l**2 + 3*l**2) - 10*l**2 + 10*l**2 + 6*l**4 + (-4*l - l**2 + 4*l)*(1 + l**2 - 1).\nAnswer: 20*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1052604 or -1052587?\nAnswer: -1052587","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + -8. Suppose -1 = -q*g + g. Sort 2, g, 5.\nAnswer: g, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-16)\/(-10))\/((-2)\/10). Let l(d) = 6*d - 3. Let r be l(4). Let o = r + u. What are the prime factors of o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-4))\/(3\/8)*129\/(-43)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i + 44 - 44 + (i + 2*i - i)*(-2 + 3 + 1))*(-1 + 1 - 3*i)*(0*i + 2*i - i).\nAnswer: -15*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33 - 1755\/52 - ((-185)\/(-4) - -1).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23*g**2 + 5*g**2 - 94*g + 42*g + 52*g - 25*g**3 to f + c*g**2 + b*g + n*g**3 and give n.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 24003 (base 5) to base 2\nAnswer: 11011011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51547.\nAnswer: 19, 2713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3.494786 years?\nAnswer: 41.937432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f + 2*g - 333 + 255, g - 99 = -5*f. Calculate the remainder when 73 is divided by f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -241*v**3 - 2*v + v + 737*v**3 - 364*v**3 + 7 to the form l + t*v**3 + o*v**2 + w*v and give t.\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add -291888.7226 and -2.4.\nAnswer: -291891.1226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (-2 - (-3 - 4 - 0))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7594.45 and 0.5?\nAnswer: -3797.225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -2*r**2 + 24*r. Let a(n) = -106*n + 2. Let y(g) = -3960*g + 75. Let h(j) = -150*a(j) + 4*y(j). What is x(h(c))?\nAnswer: -7200*c**2 + 1440*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -118*m**5 + 247*m**5 - 116*m**5 + (-1 - 2*m**2 + 1)*(3 - m**3 - 3).\nAnswer: 15*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 235977*d**2 + 0 - 235992*d**2 + 0.\nAnswer: -15*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2392 + -423?\nAnswer: 1969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, d: 2, j: 3, c: 1, k: 13}. What is prob of picking 1 z and 3 j?\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -101 - -318. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + -83805?\nAnswer: -83809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 - -12. Let m = 2.6 - o. Let a = m + 0.4. What is the closest to -2 in 3, 5\/2, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 104, 3132, 5, -2 in ascending order.\nAnswer: -2, 5, 104, 3132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 50020 to the nearest 1000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z = -0*z + 900. Let p = z + -157. Let d(j) = -j**3 - 8*j**2 - 5*j + 8. What is d(p)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qp when two letters picked without replacement from {n: 2, p: 1, q: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 788603 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -124776, -1, 5.\nAnswer: -124776, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*k - 8*k + 2*k)*(8 - 3 - 7) as b*k + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, 0, -55, 3, -2.\nAnswer: -55, -3, -2, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -7886 (base 16) to base 2\nAnswer: -111100010000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 600.43 rounded to the nearest 10?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(30\/(-5))*((-7260)\/22)\/5.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119 = 5*n - 2*f, -4*f - 298 = -306 for n.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 2*v**3 - v**2 - 2*v - 2. Suppose -8*n + 10*n - 8 = 4*a, -2*a = 2*n - 2. Calculate p(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 + -4. What is the first derivative of l*v + 10*v**2 + 4 - 4*v - 3*v**2 wrt v?\nAnswer: 14*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 134?\nAnswer: 402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*b - b + 4*b)*(-59 + 144 - 8) as z*b + p and give z.\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4*5*(-1 + 0). Let f(l) = l**2 - 4*l - 3. Let p be f(5). Suppose 0*z + p*z = w. Is z a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2868 and 1464?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 8*d + 33 = 0, -3*d + 14 = -3*i - 4 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 228 = 3*u, 5*u = -z - 377 - 25. What is the units digit of u\/9 + 6 - (0 - 71)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 116*c - 71. Let b(o) = 22*o - 14. Let h(g) = 11*b(g) - 2*u(g). Give h(6).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -40.8 and -172.\nAnswer: -212.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21)\/7 + (-4)\/((-20)\/(-35)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*j - 11 - 10 + 37*j + 8*j to z + y*j and give y.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 - 9*q + 1. Let j be z(9). Which is bigger: j or -1\/5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10236.\nAnswer: 2, 3, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 35 = 33. Let x be 3*d - (-1 - 0). Which is smaller: x or 0.1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 7723?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 8.26 (b) 124\/3 (c) -1\/22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -267 = 5*b - 292. Suppose -b*v - 4*y + 342 = -209, -5*v + 519 = -4*y. Do v and 107 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -753 - -752.9994716. What is b rounded to four decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - j + 20 = 0, -5*j = 69*m - 65*m + 13 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**3\/3 - 22*a**2\/3 - 112*a\/3.\nAnswer: -a*(a + 8)*(a + 14)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 192733.\nAnswer: 37, 5209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 11 = -2*m, -3*m = 3*b - 3 - 15 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**2 - 6*p - 7. Let v(a) = -408 + 814 - 407 - a. What is -s(t) + 5*v(t)?\nAnswer: -t**2 + t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:08 AM and 2:20 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 495000 rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5537 is divided by 142.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 37*d*g**3 - 514495*d*g**2 + 11190687*d*u - 4*g**3*u - 2*g**2*u wrt u?\nAnswer: 11190687*d - 4*g**3 - 2*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*b + 116 = 23. Factor 23 + 5*l + l**5 - 26 - 6*l**b + 2*l**2 + 355*l**4 - 354*l**4.\nAnswer: (l - 1)**3*(l + 1)*(l + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -2*u + 511. Let g(r) = 6*r - 1533. Calculate 11*b(p) + 4*g(p).\nAnswer: 2*p - 511","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8016.88 and 0.31.\nAnswer: -2485.2328","meta":{"dup_signals":{},"source":"arithmetic__mul_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 b(c) = -29*c - 952. Let u(k) = -43*k - 1393. Give 7*b(r) - 5*u(r).\nAnswer: 12*r + 301","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1568 and 1953152?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 2*h - 252, 9*h + 5*q = 12*h - 377. What are the prime factors of h?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 16 - 43?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -39 - -39.1. Which is the nearest to z? (a) 4 (b) -4 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*r**(2\/3)*r**(-1\/5))**11\/((r**1)**26\/(r**2)**(8\/13)) assuming r is positive.\nAnswer: r**(461\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4\/(-10))\/((-1)\/15). Let n = v - 1. What is the greatest common divisor of n and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ofy when three letters picked without replacement from {x: 2, m: 1, j: 1, y: 1, f: 1, o: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 0.33 (b) -3.3 (c) 3\/5 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -q + 20. Let u(l) = -l**3 - 5*l**2 - l - 3. Let v be u(-5). Solve -v*f + 7 = 3*j + 2*j, f - 11 = -q*j for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**4 + 2536*u**3 - 914268*u**2 + 69965704*u - 1522305842.\nAnswer: -2*(u - 587)**2*(u - 47)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*z + 7*z + 21*z**3 + 4*z.\nAnswer: 21*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*y**3 - 12*y**3 - 2*y**3.\nAnswer: -14*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (39*v**2 - 2 - 41*v**2 + 551*v - 1362*v)*(2*v + v - 23*v - 4*v) as a*v + m*v**3 + p + g*v**2 and give m.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjjj when four letters picked without replacement from zajtz.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -6c1874 (base 15) in base 13?\nAnswer: -10bca00","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*n**2\/4 + 6921*n\/2 + 9883419\/4 = 0. What is n?\nAnswer: -3731, -883","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3856 - 4022.3. Let h = -166 - w. Is h smaller than -1\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*y - 11*y = 1472. List the prime factors of y.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*1\/(-2)*-2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 p when three letters picked without replacement from {v: 1, q: 3, b: 3, h: 3, t: 1, p: 4}?\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(32\/(18432\/(-24)))\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (-878)\/(-260) + 20\/(-260)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k*(k**(-1)\/k)\/k)**(-4))**(-2\/39))**(1\/4))**(3\/10) assuming k is positive.\nAnswer: k**(-2\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -4*k, 0*d = -3*k - 3*d. Suppose 0 = 4*t + 8 - k. Which is the nearest to 0.2? (a) -3 (b) -0.1 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -155434 (base 6) to base 13\nAnswer: -7096","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (34\/(-255))\/((-12)\/(-15))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 606349832 to the nearest integer?\nAnswer: 846","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -179*s = 2504 + 360 for s.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000210564 rounded to 7 decimal places?\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -4755, 4, -813 in decreasing order.\nAnswer: 4, -813, -4755","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 13333.416 take away -865.1?\nAnswer: 14198.516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6764 + -4614. Does 25 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the third derivative of 3*v**4\/8 - 2*v**3 - 87*v**2. Calculate the smallest common multiple of 30 and o(2).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13442212 divided by -2\nAnswer: 6721106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 3*n + 5 = -5*v, -4*v = -3*n. Let z = -510 + 532. Suppose -24 = -z*l + 34*l. Sort l, -5, -3, v in ascending order.\nAnswer: -5, -3, l, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 n when two letters picked without replacement from {v: 1, x: 1, p: 2, n: 2}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2 - 3*g**2 - 3 - 3*g + g**3 + 5*g**2. Let k be h(-2). Is (-1 + k)*35\/(-10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 40711\/2 - 19581. Put i, -1\/4, 2\/3 in descending order.\nAnswer: i, 2\/3, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15640 and 919816?\nAnswer: 78184360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/2)\/((1\/(-4))\/(-1))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*x**2 - 2*x**6 - x**6 - 3*x**6 + 4*x**2 wrt x.\nAnswer: -720*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2711*x**2 - 2*x + 0*x - 5 - 385*x**2 + 534*x**2.\nAnswer: 2860*x**2 - 2*x - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuub when four letters picked without replacement from {x: 4, u: 6, b: 1, q: 4, z: 2}?\nAnswer: 1\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 6*d**2 - 36*d - 41. Let s(m) = m**2 - 7*m - 8. Suppose -3*j + 0 = -6. Let t(r) = j*o(r) - 11*s(r). What are the prime factors of t(-5)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - (-10 + -4 - -11 - 0)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 5:55 PM?\nAnswer: 5:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1634\/(-266) - 6\/(-21)*-3\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -54874\/7 - -7839. Which is greater: -174 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -63 + 61. Is (291962\/(-92))\/(1\/r) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2228 - -3716. Suppose 29*b - z = 21*b. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7067843*o**3 + 23899856*o wrt o?\nAnswer: 42407058*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -9171.7946 times -5\nAnswer: 45858.973","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 451876?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 166706 = 68*p + 74340 - 261574. What are the prime factors of p?\nAnswer: 3, 5, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*b - 625*n + 621*n - 124, 3*b + 52 = -2*n for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 5, -2\/7, 1\/63?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the first derivative of -n**5\/60 - 18*n**3 + 10. Let g(a) be the third derivative of l(a). Let h(r) = 2*r. Calculate g(h(o)).\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -36291.5 to the nearest 1000.\nAnswer: -36000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7108716099 - x**2 + x**2 + 7108716099 + 6*x**3.\nAnswer: 6*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 82 - 81.986. Let o = z - 13.014. Let g = -9 - o. Which is the nearest to -5\/2? (a) g (b) 5 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f*f\/(f**(-18)*f)*f\/f**28*(f*f*f\/((f\/(f\/(f*f**(-5\/3))))\/f)*f*f)**11 assuming f is positive.\nAnswer: f**(199\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000285114 to 7 dps.\nAnswer: 0.0000285","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-389*m - 764*m - 280*m + 152*m)*(-4 + 1 + 9)*(-m - 2*m + m) in the form c*m + r*m**2 + b and give r.\nAnswer: 15372","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3149139 divided by 609.\nAnswer: -5171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -35 + 143\/4. Let t = 1096\/45 + -124\/5. Sort 2\/3, t, g in decreasing order.\nAnswer: g, 2\/3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 - 30*p**2 - 30*p - 8. Let c be i(-22). Round c to the nearest 100.\nAnswer: -3200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 641?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1200 times 29942\nAnswer: -35930400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 3*z**2 + 71*z - 16033. Calculate i(-86).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -147*y + 6*z - 123 = -144*y, 3*z - 69 = -y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -10923500 rounded to the nearest 1000000?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 12 - 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -b**2 + 166*b + 169*b - 297*b - 2 in the form p + w*b**2 + o*b and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -2 + 3 + (-13 - -3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.41933ml in litres?\nAnswer: 0.01241933","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 + 23*n**2 - 55*n + 343. What is b(7)?\nAnswer: 1428","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 0*m + 12 - 13 - 2*m. Let k = -2 + 0. Determine g(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 3*s - 81, 0 = 2*s + 2*s + 3*b - 103. Suppose -4*x = 4*u - s, 5*x - 5*u - 9 = 26. Solve -q = 4*q - n - 16, -2*q + n + x = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c - 1. Let l = 11 + -20. What is the least common multiple of 6 and h(l)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2236 - -2233. Put -5, -1, -0.02, g in increasing order.\nAnswer: -5, g, -1, -0.02","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2740191 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 14 - (-26 - -34)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*g + 164*g**2 - 9*g**5 - 3*g - 418*g**5 - 477*g**5 - 45*g**2 wrt g?\nAnswer: -54240*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21040\/(-5040) - (-270)\/63?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 4*w = 2856, -3*w = m + 125 - 1077. List the prime factors of m.\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 151 is divided by 76?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2658515\/20892 - 2\/5223. Let b = -16038\/7 - -68345\/28. Let c = d - b. Calculate the common denominator of c and 8\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i**2 + 35396*i + 35394 = 0. What is i?\nAnswer: -17697, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 3 (b) -3 (c) -5 (d) -554\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22805 is divided by 39?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 + 2)*(-5*c**2 + 5*c**2 + 2*c**3) - 2*c**3 - c**2 + c**2.\nAnswer: 8*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32403 and 26943?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14416149 divided by 1310559.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -2 + 7 + -7 + -5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2296325, 2296331, 2296341, 2296355, 2296373, 2296395?\nAnswer: 2296421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2383199?\nAnswer: 7, 13, 26189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6540 and 18312?\nAnswer: 91560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04379l in millilitres?\nAnswer: 43.79","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 338*h**2 - 441*h + 2604. Is s(6) a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 AM and 10:07 PM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiiiilii. Give prob of sequence liii.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 take away 127857.1468?\nAnswer: -127857.4468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1*2 - 117\/(-81). Let r = s + 1\/18. Which is the smallest value? (a) r (b) 4\/5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - t + 0)*(-1481*t + 423*t**3 + 1481*t).\nAnswer: -423*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000814456 rounded to 5 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-38)\/(-14) - 18\/(-63). Determine i so that 35*i - 14*i**2 + 55*i - 10 - 2*i**y - 112*i = 0.\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*x**3 + 3*x**3 + 3*x**2 - 7*x**3 - 2*x**2 wrt x.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 113 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 PM and 12:40 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of u**5\/20 - u**4\/6 - 5*u**3\/6 - u**2 + 355*u + 1. Give t(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 735 or 736?\nAnswer: 735","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*u**4 + 237*u**3 + 12*u**2 - 8.\nAnswer: 48*u + 1422","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 divided by -107?\nAnswer: -610\/107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1833549837?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (0 + 4) - (2 - -3) - (60 + -111).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 - -22. Calculate the lowest common multiple of m and 16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.73 - -0.53. Let v = 0.3 - 0.2. Let f = -0.1 + v. What is the smallest value in -3, f, i?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2544 and 44023284.\nAnswer: 176093136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, 22, 46, 78, 118?\nAnswer: 166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -334, -17, 300, 617, 934?\n\"Answer: 317*d - 651","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 5, g: 14}. Give prob of picking 3 g.\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -122 + 125.18. Let l = -2.98 + i. Let n = 2 - -2. Which is the second smallest value? (a) n (b) 2\/5 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27814067 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (5 + 1)*6\/(-9) - -7. Solve 3*q - 6 = s for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -501*f + 4777. Is w(-27) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/13980 and 29\/2330?\nAnswer: 13980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*l**4 - 30*l**3 + 52*l**2 + 2*l - 59.\nAnswer: 24*l**2 - 180*l + 104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 3 - (-4 - (6 - 13)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -26*w**2 + 5850*w - 12. Determine p(225).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 3*u - 189 - 18 = 0, 2*f - u + 83 = 0. What is the second smallest value in 4, 0.07, f?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/6))**(-38) assuming z is positive.\nAnswer: z**(-19\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 9b (base 16) in base 3?\nAnswer: 12202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((112\/(-12))\/28)\/(170\/(-11730))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12\/30 - (-2433)\/5 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*i**4 + 43*i**3 - 2574?\nAnswer: 8*i**3 + 129*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1002 + 133231?\nAnswer: 200233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w*w\/w**5)*w**(-1))**(-4\/19))**(-1\/10) assuming w is positive.\nAnswer: w**(6\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1905682 divided by 22\nAnswer: 952841\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 22904.21ng in kilograms?\nAnswer: 0.00000002290421","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*(-1)\/(-21))\/((-171)\/3990).\nAnswer: -20\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 5869051.2 minutes?\nAnswer: 4075.73","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -151948424*y**2 + 164576834*y wrt y?\nAnswer: -303896848","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 23a - 8?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1228309 is divided by 45481?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 164358 and 184?\nAnswer: 657432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qpqq when four letters picked without replacement from {j: 3, p: 1, b: 1, q: 9}?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8407a (base 15) to base 6.\nAnswer: 12550011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 7411898, 14823812, 22235726?\n\"Answer: 7411914*v - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -15*f**2 + 6. Let a(k) = -2*k**2. What is a(t(p))?\nAnswer: -450*p**4 + 360*p**2 - 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -13*a**2. Let s(c) = 49*c + 54*c - 99*c. Calculate s(v(w)).\nAnswer: -52*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 15723, 16107, 16487, 16863, 17235?\n\"Answer: -2*a**2 + 390*a + 15335","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 248 is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z - z - z)*(5 + 3 - 4).\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -4*q + 4*c, -5*c + 0 + 4 = q. Let d(m) = -m**2 + m + 6. What is the least common multiple of d(0) and q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30388?\nAnswer: 2, 71, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -174 - -248. Let y = -77 + q. Let c = 12\/11 + -14\/33. What is the nearest to y in 1, 3\/8, c?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 219240?\nAnswer: 2, 3, 5, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -4*t + 12, t - 2*t = 2*b. Which is greater: b or -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7728 divided by -23.\nAnswer: 336","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 2*l**2 - 75*l**4 - 23*l**3 + 70*l**4 - 67*l**3 - 2*l**2 = 0.\nAnswer: -18, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the second derivative of -j**6\/6 - j**5\/2 + 5*j**4 - 35*j**3\/3 + 25*j**2\/2 + 59*j. Suppose d(h) = 0. Calculate h.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) 0 (b) 1\/8 (c) 2 (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 37211451?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 542802 and 36348?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-3\/13)\/(a\/(a*a**11)))\/(a**(-2\/47)\/a**20) assuming a is positive.\nAnswer: a**(18826\/611)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2292 and 20?\nAnswer: 11460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*f**4\/13 + 194*f**3\/13 - 400*f**2\/13 + 88*f\/13 = 0.\nAnswer: 0, 1\/4, 2, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -59*v**3 + 45968*v**2 - 346*v + 58*v**3 - 45968*v**2 in the form a + d*v**3 + o*v + x*v**2 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -63 - -317\/5. What is the second smallest value in 2, q, 0.3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 - 4*f**2 - 2*f + 1. Let y be q(-3). Let l(d) = -d**2 - 5*d - 3. Let x be l(-3). Let p = -857.8 + 858. What is the closest to -1 in y, x, p?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 1.316, 0.2, 3, 2\/5?\nAnswer: 1.316","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 621 >= 650?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes after 5:05 PM?\nAnswer: 5:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 25848517?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 89 = -3*f - d, 171 = 5*f + d. Let y be (4\/5)\/(1\/f). Suppose z = -0*z + y. Is z a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(((2\/(-1))\/(4\/(-2)))\/(-7))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1150 and 3871130?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 76, 83, 100, 133, 188?\n\"Answer: g**3 - g**2 + 3*g + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 4 - 14 = 0. Let n(u) = -u + 11. Let y be n(f). Suppose -z = y*x - 4*z - 13, -5*x = -2*z - 38. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3 (b) -4 (c) -337 (d) -3\/49\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/sqrt(3)*-2 - sqrt(7) - (sqrt(35)\/sqrt(45) + sqrt(7)).\nAnswer: -13*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of -r**6\/120 + r**5\/15 - r**3\/3 + r**2. Let y(f) = 0 + 0 - 4 - 2*f + 0*f. Let d be y(-4). Determine k(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b0868 (base 15) to base 7\nAnswer: 4515035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2094636 months in centuries?\nAnswer: 0.000174553","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-356)\/(-15130)*5\/2.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the third derivative of -437*z**4\/12 + 461*z**3\/3 - 880*z**2. What is the derivative of p(b) wrt b?\nAnswer: -874","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*b - 37 = 3 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (2 - 0)\/2 + (-84)\/(-4) and 42.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 3*x. Let s be (-33)\/2*(-17 - -13). Let p(f) = -7*f + 74 - 141 + s. Calculate y(p(m)).\nAnswer: -21*m - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-50)\/(-36)*2 + 6\/27.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1286\/(-1638) + 180\/234.\nAnswer: -1\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2194575?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2979 is divided by 71.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 20\/15*(-3)\/(-2). Suppose -2*j = -k + 1, k - 1 = 3*j - 0. Suppose b*g - 7*g + 30 = j. Solve 4 = 5*r - g for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 199 is divided by 91?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(153)\/(sqrt(36)\/sqrt(4)) + 0.\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*s**3 - 9*s**2 - 2969951*s - 158727875 wrt s.\nAnswer: 9*s**2 - 18*s - 2969951","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 3*o**3 + 19*o**2 - 7*o + 11. Let d(c) = -c**3 - 9*c**2 + 3*c - 6. Let x(k) = -5*d(k) - 2*r(k). Determine x(5).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -5*x**3 + 69*x**2 + 709*x - 168. What is d(-7)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -8*1 - (24\/15 + -9). Put -5, -25, p, 3\/7 in decreasing order.\nAnswer: 3\/7, p, -5, -25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 254*h*v**2 - 79*h*v + 6*v**2 - 4*v wrt v.\nAnswer: 508*h + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -17*u - 3. Let w(g) = 84*g + 16. Let h(f) = 3*w(f) + 16*x(f). Suppose -248 = -20*v + 632. Let c(s) = v*s + 40*s - 123*s + 37*s. Give c(h(a)).\nAnswer: 40*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25071047 is divided by 6970.\nAnswer: 6927","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -11144 + -4?\nAnswer: -11148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and 0.4.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 31.24 + -32. Let f = u + 1.16. What is the closest to 2 in -5, f, -15?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 11 - (1\/(-1) - -2). Let x be (-128)\/24*6\/(-4). Let s = 12 - x. Solve 6 + j = s*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**2 - 13*k. Let g be b(13). Sort g, -4, 5.\nAnswer: -4, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(605) + 2*sqrt(605) + -2)*-5 + -3)**2 + 3 + ((0 + sqrt(605) - sqrt(605))*6 + sqrt(605)*1*6)**2 + 5.\nAnswer: -2310*sqrt(5) + 157962","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 9\/6*(-128)\/(-12). Suppose 5*v = 6*q - 4*q + 6, 2*q - 4 = 0. What is the highest common divisor of v and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 3*s + 20 = 21, 2*l = 4*s + 2 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 291195563 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}